{"meta":{"query_hash":"2f9e91693394","filters":{"topic":"Geometric and Algebraic Topology"},"cohort_total":1163,"direct_labels_cover":0,"predictions_cover":1163,"exported":1163,"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/2f9e91693394","api":"https://metacan.xera.ac/api/v1/cohort?topic=Geometric+and+Algebraic+Topology"},"results":[{"id":"W102070638","doi":"10.1023/a:1004109407797","title":"Lagrange Intersections in a Symplectic Space","year":2000,"lang":"en","type":"article","venue":"Functional Analysis and Its Applications","topic":"Geometric and Algebraic Topology","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","funders":"","keywords":"Symplectomorphism; Mathematics; Symplectic geometry; Torus; Pure mathematics; Symplectic group; Symplectic vector space; Symplectic representation; Moment map; Algebra over a field; Geometry","score_opus":0.026434504775370397,"score_gpt":0.27218412288345156,"score_spread":0.24574961810808116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W102070638","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9245235,0.00046854065,0.054418467,0.0026371838,0.00003315211,0.00035569296,0.000032329546,0.00008861093,0.017442556],"genre_scores_gemma":[0.9909269,0.000107240674,0.0003509241,0.000097872085,0.00007187494,0.0002188237,0.000028150262,0.0000059124777,0.008192292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99930507,0.000026578746,0.00020072362,0.00023429068,0.00009989321,0.00013342907],"domain_scores_gemma":[0.9994574,0.00025672634,0.000041931147,0.00013972292,0.000047594698,0.00005662459],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00011882231,0.00008474813,0.00018073636,0.0005083072,0.00014753206,0.000017072567,0.00005481977,0.00005023142,0.0056354357],"category_scores_gemma":[0.000044656736,0.00007576032,0.00009690042,0.0026775203,0.000031106807,0.000055654593,0.00001398638,0.00010031802,0.00012978808],"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":[0.000028264994,0.00068389205,0.023466928,0.000034731016,0.0010148704,0.0000015502701,0.0003737178,0.00036523672,0.00018223675,0.953695,0.003119636,0.017033948],"study_design_scores_gemma":[0.0010070319,0.000098108,0.4706687,0.000012205793,0.002142959,0.00005033583,0.0007760094,0.0077744876,0.00007221029,0.40521216,0.111629926,0.00055584894],"about_ca_topic_score_codex":0.00012783916,"about_ca_topic_score_gemma":0.0009560747,"teacher_disagreement_score":0.54848284,"about_ca_system_score_codex":0.000026522934,"about_ca_system_score_gemma":0.00001374811,"threshold_uncertainty_score":0.99527353},"labels":[],"label_agreement":null},{"id":"W117158053","doi":"10.1007/978-3-642-38871-2_4","title":"Coverings and Galois Theory","year":2014,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Geometric and Algebraic Topology","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; Analogy; Fundamental theorem of Galois theory; Galois theory; Pure mathematics; Space (punctuation); Galois connection; Galois extension; Galois module; Galois group; Algebra over a field; Computer science; Epistemology; Philosophy","score_opus":0.026322757667269513,"score_gpt":0.25551423687389946,"score_spread":0.22919147920662994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W117158053","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014670135,0.0022296705,0.016979245,0.0001252934,0.0007340929,0.0010802593,0.000038599297,0.0003685751,0.96377414],"genre_scores_gemma":[0.051848084,0.0024809346,0.09011068,0.00032004493,0.000408136,0.00009351539,0.000018916979,0.0006189905,0.8541007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977218,0.00003664922,0.00087530643,0.00053713855,0.0003616947,0.0004673914],"domain_scores_gemma":[0.99692756,0.0015119644,0.0005302799,0.00083034555,0.00006167059,0.00013819116],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012370677,0.0006089819,0.0011135448,0.0010643257,0.000082135564,0.000054347543,0.0004006965,0.00064464204,0.00052772585],"category_scores_gemma":[0.00048615175,0.0005725408,0.00025369722,0.00014717154,0.00039076788,0.000046455945,0.00032357886,0.00072375324,0.0000930204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007013243,0.00004193639,0.00010608506,0.0007815784,0.00011611835,0.000024826219,0.00072107435,4.2102337e-7,0.0000030603544,0.9938779,0.0011958525,0.0031241183],"study_design_scores_gemma":[0.0003531997,0.000059915525,0.00004554498,0.00049841334,0.0001424823,0.000047272297,0.000098142744,0.000041540923,0.000016213033,0.96737546,0.030772539,0.0005492954],"about_ca_topic_score_codex":0.0000040406812,"about_ca_topic_score_gemma":0.000014164508,"teacher_disagreement_score":0.10967344,"about_ca_system_score_codex":0.00004873009,"about_ca_system_score_gemma":0.000028804521,"threshold_uncertainty_score":0.9996726},"labels":[],"label_agreement":null},{"id":"W141907986","doi":"10.1090/conm/378/07012","title":"Effective JSJ decompositions","year":2005,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Statistics; Combinatorics","score_opus":0.028795841002695718,"score_gpt":0.3184380238994148,"score_spread":0.28964218289671906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W141907986","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00022360295,0.0011050145,0.11568867,0.00080605794,0.0002427667,0.0027889155,0.0002486508,0.0018874378,0.8770089],"genre_scores_gemma":[0.0053206794,0.00017178476,0.43668443,0.00076484855,0.001319253,0.0007538142,0.00010881966,0.001970385,0.552906],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99503803,0.0002608343,0.001541958,0.0010935543,0.000996855,0.0010687904],"domain_scores_gemma":[0.99200684,0.0036496466,0.001916075,0.0017412318,0.00012653979,0.0005596829],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0009072191,0.0013400328,0.0030927653,0.00042045157,0.000241238,0.000119439064,0.0010874409,0.00078113686,0.011033957],"category_scores_gemma":[0.0010060089,0.0011524534,0.0015068481,0.001216801,0.0017915826,0.00011971921,0.0004707222,0.0011150812,0.0020703215],"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":[0.000006783204,0.0013829925,0.000010808807,0.0015609845,0.0010827472,0.000022011845,0.0013053613,2.5643016e-7,0.000015633233,0.17591473,0.81606966,0.0026280438],"study_design_scores_gemma":[0.0019047937,0.00047896983,0.00001677557,0.0018523191,0.0008867359,0.00018019501,0.0037721265,0.0010593878,0.00007722765,0.5200617,0.46701685,0.0026929297],"about_ca_topic_score_codex":0.000060355684,"about_ca_topic_score_gemma":0.000012024811,"teacher_disagreement_score":0.3490528,"about_ca_system_score_codex":0.00025043814,"about_ca_system_score_gemma":0.00024300446,"threshold_uncertainty_score":0.9999351},"labels":[],"label_agreement":null},{"id":"W1439199386","doi":"10.1142/s1793525319500328","title":"Topological 4-manifolds with right-angled Artin fundamental groups","year":2018,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Cobordism; Fundamental group; Torsion (gastropod); Covering space; Topology (electrical circuits); Cohomological dimension; Pure mathematics; Dimension (graph theory); Manifold (fluid mechanics); Combinatorics; Cohomology","score_opus":0.020926024733045792,"score_gpt":0.29493211270458836,"score_spread":0.2740060879715426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1439199386","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9843639,0.00020838654,0.01124971,0.0019929917,0.00013962446,0.00003813567,0.0000024981946,0.000013712068,0.0019910352],"genre_scores_gemma":[0.9918919,0.0000310786,0.0065721925,0.0003073436,0.0003514527,0.0000010016347,0.0000012233177,0.0000068965155,0.00083687366],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986866,0.00015235231,0.0005112738,0.00018458096,0.00018820932,0.00027695997],"domain_scores_gemma":[0.9986767,0.00036746313,0.0004871683,0.00016542504,0.00016452726,0.00013869914],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005738177,0.00015514431,0.000683554,0.0006259531,0.00018421664,0.000021561413,0.00018252847,0.00016747456,0.003089044],"category_scores_gemma":[0.00020553166,0.00009327097,0.00023260579,0.0007961599,0.0007237324,0.00009214975,0.000059444148,0.00024223354,0.00001300397],"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":[0.0008963856,0.0010589026,0.5050652,0.000039249393,0.008756258,0.0012306374,0.001658447,0.000005461684,0.0005890063,0.47344977,0.0042583784,0.0029923222],"study_design_scores_gemma":[0.0050365026,0.010231798,0.18131156,0.000042569343,0.012807316,0.005763619,0.0055263476,0.0003313685,0.0025900549,0.7690945,0.006373993,0.00089033076],"about_ca_topic_score_codex":0.000015476808,"about_ca_topic_score_gemma":0.00011806063,"teacher_disagreement_score":0.32375363,"about_ca_system_score_codex":0.000025125524,"about_ca_system_score_gemma":0.000028599485,"threshold_uncertainty_score":0.9978223},"labels":[],"label_agreement":null},{"id":"W1482036342","doi":"10.1023/a:1005246831488","title":"G-spaces and Fixed Point Sets","year":2000,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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 Saskatchewan","funders":"","keywords":"Differential geometry; Algebraic geometry; Mathematics; Hyperbolic geometry; Projective geometry; Pure mathematics","score_opus":0.032535404493369516,"score_gpt":0.2972391961824426,"score_spread":0.2647037916890731,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1482036342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9790332,0.0010483852,0.00046559944,0.0033845655,0.0001765013,0.00022650337,0.000038645863,0.00014805871,0.015478553],"genre_scores_gemma":[0.9885613,0.00046512828,0.0055678617,0.00046298766,0.0001647425,0.000016743395,0.000035981746,0.000027944305,0.0046973363],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984773,0.00006511268,0.00033554027,0.0003801037,0.00030405956,0.00043790802],"domain_scores_gemma":[0.99825466,0.00088396226,0.00009818641,0.0005009345,0.00003369559,0.00022853936],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006951538,0.00018882054,0.00036671257,0.000623415,0.00012882387,0.000050175422,0.00030184374,0.00016040677,0.012118475],"category_scores_gemma":[0.0016823614,0.00015920072,0.000067685156,0.0015118169,0.0001852961,0.00011489047,0.00011245294,0.00020605997,0.0004268945],"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":[0.000121850266,0.0005158378,0.008880568,0.0002034995,0.0003148643,0.00011648812,0.0011414462,0.0000014326702,0.000111330824,0.042324938,0.3203284,0.6259393],"study_design_scores_gemma":[0.0069342293,0.0010266267,0.05438791,0.000113071845,0.0003671357,0.0007125481,0.0011943997,0.00021241051,0.0014153223,0.5271136,0.4049904,0.0015322884],"about_ca_topic_score_codex":0.000061162,"about_ca_topic_score_gemma":0.000011480941,"teacher_disagreement_score":0.62440705,"about_ca_system_score_codex":0.00001922989,"about_ca_system_score_gemma":0.00003229369,"threshold_uncertainty_score":0.9887846},"labels":[],"label_agreement":null},{"id":"W1484135350","doi":"10.4171/ggd/327","title":"The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups","year":2015,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Abelian group; Conjecture; Mathematics; Combinatorics; Vertex (graph theory); Collatz conjecture; Pure mathematics; Discrete mathematics; Graph","score_opus":0.029534667925109833,"score_gpt":0.29102143255075735,"score_spread":0.2614867646256475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1484135350","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9664039,0.0048912205,0.022846635,0.0004704518,0.0019791925,0.0013191293,0.0015754857,0.00007744947,0.00043652533],"genre_scores_gemma":[0.99321455,0.0007759773,0.0048613395,0.000045960685,0.00017624129,0.00008540735,0.0003572826,0.00007633508,0.00040692464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99684155,0.00014125835,0.0012002375,0.0006715807,0.0005077974,0.0006375575],"domain_scores_gemma":[0.9951098,0.0021239575,0.0012528428,0.0009525031,0.00035524354,0.00020567274],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015416594,0.00061202166,0.0013510998,0.00073624845,0.00026007282,0.000065487875,0.00080711866,0.0009035762,0.00003231161],"category_scores_gemma":[0.0009088503,0.0004562475,0.0004903478,0.00086439453,0.000934738,0.00007450837,0.00097433996,0.00079487317,0.0000018615782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000269193,0.00038771675,0.010665169,0.0027978944,0.0007790107,0.0000056962017,0.0009313177,0.000080014855,0.000025046262,0.97476506,0.0014476953,0.007846188],"study_design_scores_gemma":[0.001376772,0.0005508236,0.0016133842,0.00014886996,0.00039357832,0.000049172475,0.003401101,0.0031317484,0.000046525518,0.9883408,0.0004339529,0.00051328226],"about_ca_topic_score_codex":0.000100729616,"about_ca_topic_score_gemma":0.00023518359,"teacher_disagreement_score":0.026810622,"about_ca_system_score_codex":0.00010784341,"about_ca_system_score_gemma":0.00013834435,"threshold_uncertainty_score":0.99978894},"labels":[],"label_agreement":null},{"id":"W1485364154","doi":"10.4171/rmi/773","title":"Normalizers in groups and in their profinite completions","year":2014,"lang":"en","type":"article","venue":"Revista Matemática Iberoamericana","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Profinite group; Mathematics; Group (periodic table); Chemistry","score_opus":0.028970805513231716,"score_gpt":0.2787808240960146,"score_spread":0.2498100185827829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1485364154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9890797,0.00024626608,0.0020395524,0.0012478927,0.000041163967,0.000338159,0.000009494587,0.00005986117,0.0069379],"genre_scores_gemma":[0.99628395,0.00010712532,0.0030741333,0.00027536345,0.00002624311,0.00003935846,0.0000062749664,0.00002401835,0.00016353247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9984698,0.00023119824,0.00047296172,0.00029919174,0.00012109646,0.00040574677],"domain_scores_gemma":[0.9986575,0.00074790616,0.00013591806,0.0003292998,0.000024429624,0.000104942796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005733203,0.0001862059,0.0005249594,0.00038124426,0.000047763326,0.000037417332,0.00017313291,0.000063281455,0.00013159595],"category_scores_gemma":[0.00058951415,0.0001593964,0.000043317126,0.00090087426,0.00023951799,0.00007134,0.00009023377,0.00020148019,0.00003073131],"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":[0.000037578873,0.00028443107,0.090210855,0.00054138637,0.000033195054,0.000023567434,0.0010132961,0.0000069286352,0.00016347771,0.894021,0.0011671113,0.012497214],"study_design_scores_gemma":[0.004689702,0.00060141436,0.5967623,0.0008198902,0.000114086026,0.00022135348,0.004674454,0.0051623113,0.000106680236,0.29456693,0.09029281,0.0019880712],"about_ca_topic_score_codex":0.0002215933,"about_ca_topic_score_gemma":0.00010057708,"teacher_disagreement_score":0.59945405,"about_ca_system_score_codex":0.00005555421,"about_ca_system_score_gemma":0.0000237556,"threshold_uncertainty_score":0.6499996},"labels":[],"label_agreement":null},{"id":"W1486235110","doi":"10.5802/aif.1986","title":"Length minimizing Hamiltonian paths for symplectically aspherical manifolds","year":2003,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Contractible space; Maxima and minima; Hamiltonian (control theory); Mathematics; Floer homology; Hamiltonian system; Hamiltonian path; Pure mathematics; Mathematical analysis; Geometry; Combinatorics; Mathematical optimization; Symplectic geometry","score_opus":0.05253745861470977,"score_gpt":0.3121681441299348,"score_spread":0.25963068551522506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1486235110","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45877293,0.0020094672,0.4500151,0.0036666645,0.0011191752,0.0013012219,0.000082478844,0.0004419242,0.08259106],"genre_scores_gemma":[0.8242008,0.00007352762,0.16797209,0.001494616,0.00019728766,0.000112650094,0.000012410787,0.00006347969,0.0058731525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981559,0.000096570424,0.00039197743,0.00038562008,0.00022669736,0.0007432296],"domain_scores_gemma":[0.9984433,0.00073795975,0.00011268244,0.00036029395,0.00010849879,0.0002372618],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005136247,0.0002590402,0.0003807408,0.000098638215,0.00027223333,0.000056134904,0.00023746438,0.00024242219,0.00052669697],"category_scores_gemma":[0.002628042,0.00024069753,0.00020104657,0.00033124405,0.0001831393,0.000115594674,0.00003962637,0.00021363451,0.000087610315],"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":[0.000041921307,0.00037399662,0.0018811213,0.00011519153,0.00019461551,0.00006943822,0.00049156736,0.000007156056,0.00023341824,0.883293,0.10614896,0.00714966],"study_design_scores_gemma":[0.0012217511,0.0002896673,0.00030869132,0.000030776446,0.00015141677,0.00020010195,0.0002806847,0.00034141235,0.0010346851,0.20068203,0.7949791,0.0004796824],"about_ca_topic_score_codex":0.0000110881765,"about_ca_topic_score_gemma":0.000025473377,"teacher_disagreement_score":0.68883014,"about_ca_system_score_codex":0.00007599479,"about_ca_system_score_gemma":0.00020277164,"threshold_uncertainty_score":0.981536},"labels":[],"label_agreement":null},{"id":"W1488824746","doi":"10.1090/fic/035/08","title":"Godbillon-Vey invariants for families of foliations","year":2003,"lang":"en","type":"preprint","venue":"","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Cobordism; Mathematics; Invariant (physics); Cohomology; Pure mathematics; Degree (music); Class (philosophy); Mathematical physics; Physics; Computer science; Artificial intelligence","score_opus":0.1262868457336224,"score_gpt":0.36813589571225414,"score_spread":0.24184904997863174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1488824746","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17093416,0.00048171252,0.6270498,0.0015228175,0.0030881031,0.0031981303,0.0007903705,0.00025488253,0.19268],"genre_scores_gemma":[0.7249766,0.00015656454,0.24558549,0.00025007335,0.00013311852,0.00027930868,0.00009575293,0.00006168089,0.028461395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987666,0.000048162627,0.00053105806,0.00028729666,0.00014162042,0.00022528738],"domain_scores_gemma":[0.99789566,0.000988043,0.0003374614,0.00052652985,0.00020369346,0.00004861614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003548374,0.00019514514,0.00054862315,0.0003036538,0.00004618199,0.000012074456,0.00026337086,0.00035584817,0.00057536055],"category_scores_gemma":[0.002551968,0.00016569391,0.00021195732,0.00020251112,0.000071592905,0.000021283764,0.00022285453,0.0001834944,0.000013513668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000059089366,0.00017632515,0.000569752,0.0005892944,0.00017977404,5.7312315e-7,0.00027586034,0.000014023305,0.000020262216,0.9604811,0.03690142,0.0007857184],"study_design_scores_gemma":[0.0003689856,0.000046952584,0.0006296917,0.000035412464,0.00011577634,0.0000026316902,0.00035442668,0.00008330376,0.00053850876,0.99312407,0.004504893,0.0001953547],"about_ca_topic_score_codex":0.00011615723,"about_ca_topic_score_gemma":0.00005449729,"teacher_disagreement_score":0.55404246,"about_ca_system_score_codex":0.000029527955,"about_ca_system_score_gemma":0.00018595785,"threshold_uncertainty_score":0.67568016},"labels":[],"label_agreement":null},{"id":"W1489222244","doi":"10.1007/978-3-7643-9911-5_3","title":"Geodesic Rewriting Systems and Pregroups","year":2010,"lang":"en","type":"book-chapter","venue":"Birkhäuser Basel eBooks","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Rewriting; Construct (python library); Geodesic; Object (grammar); Algebra over a field; Confluence","score_opus":0.054600832319352956,"score_gpt":0.26722058614062894,"score_spread":0.212619753821276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1489222244","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0042867633,0.0012741241,0.00091063697,0.00007726414,0.000897441,0.00094875915,0.00008283788,0.00042516863,0.99109703],"genre_scores_gemma":[0.039599095,0.000052656484,0.0034489282,0.00016876674,0.00090681633,0.00005874713,0.000018398865,0.00026232007,0.9554843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976512,0.000046289686,0.00070411986,0.0006990928,0.00038891745,0.00051038445],"domain_scores_gemma":[0.99740636,0.0008884256,0.0004964149,0.00083757425,0.00013556966,0.00023564383],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006152728,0.0006061528,0.0008904406,0.00048380764,0.0002183272,0.00010716847,0.00032628942,0.0010949619,0.0003245851],"category_scores_gemma":[0.00027213956,0.0005569123,0.00017825034,0.000025129622,0.00033496803,0.00004358801,0.00023911617,0.0011063906,0.00014228218],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011258992,0.000013221761,0.000024662037,0.000605607,0.0001246593,0.000082102655,0.00015967696,6.251526e-8,0.000097539036,0.99001414,0.0020773127,0.006789775],"study_design_scores_gemma":[0.00084267114,0.00014328558,0.000024549987,0.00081656576,0.0004204384,0.00042121217,0.00010929578,0.000053106578,0.00016205035,0.61125773,0.3845695,0.0011795968],"about_ca_topic_score_codex":0.00005998529,"about_ca_topic_score_gemma":0.000048335547,"teacher_disagreement_score":0.38249218,"about_ca_system_score_codex":0.000044300792,"about_ca_system_score_gemma":0.00010932686,"threshold_uncertainty_score":0.9996882},"labels":[],"label_agreement":null},{"id":"W1494787379","doi":"10.1016/j.topol.2014.04.001","title":"On instanton homology of corks <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>","year":2014,"lang":"lv","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"McMaster University","keywords":"Mathematics; Floer homology; Instanton; Homology (biology); Combinatorics; Boundary (topology); Geometry; Discrete mathematics; Mathematical analysis; Mathematical physics; Symplectic geometry","score_opus":0.019011937638513686,"score_gpt":0.2544559409516776,"score_spread":0.23544400331316392,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1494787379","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47295707,0.0013782482,0.0027434304,0.0014845032,0.0012256061,0.000058066133,0.00018696379,0.00013418085,0.51983196],"genre_scores_gemma":[0.99039364,0.0017127628,0.0017570602,0.0020513847,0.0011362254,0.0012420553,0.0005535314,0.00036723888,0.00078611437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9937824,0.00043973487,0.0016005505,0.0014193568,0.0009846201,0.0017733246],"domain_scores_gemma":[0.9922086,0.003039074,0.0017851051,0.0020829516,0.00017526987,0.0007090046],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0015201301,0.00063804176,0.0004096125,0.0006448391,0.0013900436,0.0002874022,0.0015463323,0.0027635829,0.4277337],"category_scores_gemma":[0.001920404,0.0011763526,0.00087451877,0.0011716112,0.0024851016,0.00048980076,0.0012402369,0.0014866478,0.002468258],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053539535,0.0004189179,0.000019563224,0.0006962541,0.00082216295,0.00015635225,0.0012945932,0.00018745978,0.0009364545,0.8108182,0.18119204,0.002922582],"study_design_scores_gemma":[0.002620948,0.0030407612,0.0002739046,0.00047694432,0.0017273207,0.0017054796,0.0023914366,0.012504678,0.95379335,0.0077135693,0.012274943,0.0014766451],"about_ca_topic_score_codex":0.0010198753,"about_ca_topic_score_gemma":0.0010103965,"teacher_disagreement_score":0.9528569,"about_ca_system_score_codex":0.000011769245,"about_ca_system_score_gemma":0.0008933369,"threshold_uncertainty_score":0.99991},"labels":[],"label_agreement":null},{"id":"W1500072053","doi":"10.1017/s0013091516000420","title":"Splitting Numbers of Links","year":2017,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Khovanov homology; Crossing number (knot theory); Link (geometry); Mathematics; Diagram; Combinatorics; Discrete mathematics; Arithmetic; Algebra over a field; Pure mathematics; Knot (papermaking)","score_opus":0.039193567401610424,"score_gpt":0.31087753436007626,"score_spread":0.27168396695846586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1500072053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94072485,0.000026958653,0.0005508245,0.0022961723,0.0002629967,0.00033073718,0.0000042795505,0.000050603947,0.055752557],"genre_scores_gemma":[0.9645257,0.000011267922,0.032064214,0.000051612627,0.00022031601,0.000012959148,1.1330566e-7,0.000023027567,0.003090806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823326,0.000004129999,0.0006555256,0.00023298322,0.00052613596,0.00034794357],"domain_scores_gemma":[0.99743384,0.00056552945,0.0011901966,0.00041339867,0.00031243515,0.00008457825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001300763,0.00019269058,0.0005777886,0.000027417447,0.00037001065,0.000048345253,0.0012639267,0.00032938996,0.00035585408],"category_scores_gemma":[0.0063055716,0.0001248753,0.00059810205,0.00018781013,0.0008278026,0.00016982654,0.00067546545,0.00046850886,0.0000034426923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014981354,0.000464698,0.017305668,0.0017119208,0.00031363376,2.1434889e-7,0.0055715893,2.6602504e-7,0.006769636,0.91114527,0.055688065,0.0010140834],"study_design_scores_gemma":[0.00040607215,0.00003728759,0.00090248114,0.0002955414,0.00013955649,0.000010294143,0.0021715595,0.00036963442,0.01737852,0.9778853,0.00024800756,0.00015573188],"about_ca_topic_score_codex":0.000008556236,"about_ca_topic_score_gemma":1.3316655e-7,"teacher_disagreement_score":0.066740066,"about_ca_system_score_codex":0.000030715873,"about_ca_system_score_gemma":0.00002946844,"threshold_uncertainty_score":0.7548814},"labels":[],"label_agreement":null},{"id":"W1505009820","doi":"10.4153/cmb-2011-094-8","title":"Non-Discrete Complex Hyperbolic Triangle Groups of Type (<i>n</i>,<i>n</i>, ∞;<i>k</i>)","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Hyperbolic space; Type (biology); Hyperbolic triangle; Relatively hyperbolic group; Pure mathematics; Group (periodic table); Hyperbolic geometry; Hyperbolic manifold; Hyperbolic function; Mathematical analysis; Differential geometry","score_opus":0.07362570704651998,"score_gpt":0.26981727970829417,"score_spread":0.19619157266177417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1505009820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59297115,0.00015713897,0.0030595732,0.0020443883,0.00035199965,0.0009810438,0.00007434798,0.00014594043,0.40021446],"genre_scores_gemma":[0.97774285,0.000008561057,0.018415503,0.0007186374,0.00009662481,0.000024114333,0.0000102458425,0.000064501735,0.0029189512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978188,0.00008024444,0.00075329805,0.0003423378,0.00026673207,0.0007385318],"domain_scores_gemma":[0.99779904,0.00046382745,0.00020789285,0.0006657663,0.00015575848,0.00070768804],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00058258086,0.00029772296,0.00081919,0.00040533012,0.00010566023,0.000015448053,0.000541233,0.00022892853,0.056433145],"category_scores_gemma":[0.0012687964,0.00026389371,0.0002047994,0.00062501186,0.00033479417,0.000030951913,0.00007987854,0.0002459753,0.006450929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006570505,0.00033479187,0.00055180705,0.00048432717,0.00016510741,0.00012875294,0.0020727995,2.9769996e-7,0.0003680853,0.85559404,0.13942559,0.00080867176],"study_design_scores_gemma":[0.0015680728,0.00048160364,0.002027751,0.0001446691,0.00020533781,0.00017681028,0.00088958844,0.0001210408,0.0013846176,0.9332337,0.058999274,0.00076755654],"about_ca_topic_score_codex":0.0016773548,"about_ca_topic_score_gemma":0.00062219583,"teacher_disagreement_score":0.3972955,"about_ca_system_score_codex":0.000074423464,"about_ca_system_score_gemma":0.00021110996,"threshold_uncertainty_score":0.99998134},"labels":[],"label_agreement":null},{"id":"W1507460173","doi":"10.1090/s1079-6762-03-00105-7","title":"Nonpositive immersions, sectional curvature, and subgroup properties","year":2003,"lang":"en","type":"article","venue":"Electronic Research Announcements of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Curvature; Semantics (computer science); Coherence (philosophical gambling strategy); Mathematics; Encoding (memory); Type (biology); Computer science; Algorithm; Pure mathematics; Statistics; Artificial intelligence; Geometry; Programming language; Geology","score_opus":0.06557641100291672,"score_gpt":0.3604066007847124,"score_spread":0.2948301897817957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507460173","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9865869,0.0008313287,0.0022432492,0.0014495957,0.0000474601,0.0007750204,0.000015068242,0.000029834182,0.008021511],"genre_scores_gemma":[0.9938365,0.00026026022,0.0031231404,0.00015855004,0.000031599735,0.00005887207,0.0000018814167,0.000021012129,0.0025081593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99689215,0.00053334335,0.00035506857,0.00031785443,0.0010193711,0.0008822027],"domain_scores_gemma":[0.99806875,0.0009472732,0.00021118116,0.0003946613,0.00026908406,0.00010906311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002554697,0.0001749532,0.00038076108,0.00006872299,0.00044995247,0.000032669173,0.00038859659,0.000064409,0.00012784298],"category_scores_gemma":[0.0018072044,0.00010794111,0.00020798226,0.0011263546,0.001876501,0.000083749896,0.0002313867,0.00074010907,0.000012887395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008877861,0.0008777036,0.004026541,0.00026875065,0.0007080381,9.341354e-7,0.0016601101,0.0000012327848,0.009606386,0.9723511,0.009501343,0.00090908183],"study_design_scores_gemma":[0.0006551589,0.0007641275,0.0019015681,0.000080819715,0.000056205416,0.000042779106,0.005130798,0.00016436008,0.0043944437,0.98171836,0.004840507,0.00025085264],"about_ca_topic_score_codex":0.00003461603,"about_ca_topic_score_gemma":0.0000032793723,"teacher_disagreement_score":0.009367279,"about_ca_system_score_codex":0.00022938354,"about_ca_system_score_gemma":0.00029176482,"threshold_uncertainty_score":0.69140464},"labels":[],"label_agreement":null},{"id":"W1509320952","doi":"10.1090/s0002-9939-07-08921-6","title":"Nonpositive sectional curvature for (𝑝,𝑞,𝑟)-complexes","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Curvature; Computer science; Artificial intelligence; Mathematics; Geometry","score_opus":0.02513144080018685,"score_gpt":0.3141241823309881,"score_spread":0.28899274153080123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1509320952","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9589187,0.000021314154,0.03197055,0.001246,0.000080038226,0.00058307196,0.000021074162,0.00008641832,0.00707285],"genre_scores_gemma":[0.84524256,0.0000028435265,0.15331161,0.0004501367,0.00019711857,0.000029580604,7.6099866e-7,0.000029000337,0.00073640427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857384,0.000004795558,0.0004281695,0.00023641433,0.0003578447,0.0003989187],"domain_scores_gemma":[0.99749494,0.0014171452,0.0005622921,0.00011333669,0.0003295906,0.00008271399],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009787173,0.00017881134,0.00045134543,0.000040801096,0.0001891001,0.000019451338,0.00040515824,0.00008219248,0.000043462023],"category_scores_gemma":[0.0012001133,0.00011643848,0.00054231536,0.00071281183,0.0007753815,0.000067139175,0.00014544924,0.00023041805,0.0000041880917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064735614,0.00031002608,0.0045965617,0.00046034864,0.00025189616,8.370527e-8,0.0016239787,1.819529e-7,0.009583214,0.96475536,0.017695032,0.0006585811],"study_design_scores_gemma":[0.00032737307,0.00015385328,0.011525501,0.00004547387,0.0001108887,0.000026700005,0.0030300193,0.00011929986,0.014470563,0.9693517,0.0006519117,0.00018672411],"about_ca_topic_score_codex":0.0000052444666,"about_ca_topic_score_gemma":4.936525e-7,"teacher_disagreement_score":0.121341065,"about_ca_system_score_codex":0.00006180166,"about_ca_system_score_gemma":0.000022781509,"threshold_uncertainty_score":0.47482237},"labels":[],"label_agreement":null},{"id":"W1509483839","doi":"10.4310/jdg/1090349281","title":"A Proof of the Finite Filling Conjecture","year":2001,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Torus; Knot (papermaking); Boundary (topology); Pure mathematics; Fundamental group; Combinatorics; Dehn surgery; Geometry; Mathematical analysis","score_opus":0.028365512474578476,"score_gpt":0.2775848822212769,"score_spread":0.24921936974669845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1509483839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97605336,0.00031493133,0.021767532,0.00046165768,0.00084691396,0.000095780364,0.000006660077,0.0000060817083,0.0004471105],"genre_scores_gemma":[0.9980627,0.00003071241,0.0006173221,0.00005035382,0.000355973,6.743706e-7,4.611037e-7,0.00001428225,0.00086754776],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851185,0.00008933291,0.0006561521,0.0000916052,0.00042995354,0.00022110375],"domain_scores_gemma":[0.99798787,0.0006491175,0.00088021444,0.0002326615,0.0001777606,0.00007236668],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002826428,0.00013749102,0.00045209957,0.00040713008,0.000063510415,0.000015690182,0.00041329823,0.00013148058,0.0009887988],"category_scores_gemma":[0.0014315158,0.00007765632,0.00034862038,0.0008863204,0.00009862111,0.00005812866,0.00009499112,0.00042493647,0.0000021205176],"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":[0.002501285,0.011550029,0.5097155,0.0032388293,0.0076895016,0.0007601436,0.009201804,0.0017219803,0.046553552,0.15357809,0.058810383,0.19467892],"study_design_scores_gemma":[0.013008426,0.0032985278,0.15287901,0.0014586394,0.002182717,0.00361708,0.0022327106,0.00083605316,0.13635394,0.66416675,0.018528659,0.0014375036],"about_ca_topic_score_codex":0.00000400539,"about_ca_topic_score_gemma":0.0000031437187,"teacher_disagreement_score":0.51058865,"about_ca_system_score_codex":0.000021553185,"about_ca_system_score_gemma":0.00005956517,"threshold_uncertainty_score":0.9999244},"labels":[],"label_agreement":null},{"id":"W1511878531","doi":"10.1090/s0002-9939-05-07814-7","title":"Every nontrivial knot in 𝑆³ has nontrivial A-polynomial","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Alexander polynomial; Knot (papermaking); Mathematics; Knot polynomial; Polynomial; Pure mathematics; Combinatorics; Knot theory; Discrete mathematics; Knot invariant; Mathematical analysis; Engineering","score_opus":0.025326543482619174,"score_gpt":0.2775050963007721,"score_spread":0.25217855281815293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1511878531","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9876286,0.000029113598,0.00041517802,0.0059328564,0.00008326895,0.000462188,0.000010336139,0.00008442902,0.0053540603],"genre_scores_gemma":[0.9613942,0.000014890311,0.03687822,0.0004988324,0.00047145708,0.000038088125,3.6280125e-7,0.00004149169,0.00066245126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99751073,0.00002280759,0.0008284836,0.0003768774,0.0005905749,0.00067052775],"domain_scores_gemma":[0.9979336,0.0008179563,0.00073498377,0.00023598004,0.00014348271,0.000133994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009056266,0.00030786393,0.00092978036,0.000098619654,0.00017770355,0.0000532638,0.00081175804,0.00014138898,0.00012792673],"category_scores_gemma":[0.0018231431,0.00021619175,0.0006015851,0.00119596,0.0012676377,0.00017748121,0.00040960617,0.000498475,0.000040050832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00088368537,0.008722052,0.04639629,0.0023165664,0.001210268,0.0000053594276,0.029731983,0.000016018257,0.029844142,0.43102336,0.40985605,0.039994214],"study_design_scores_gemma":[0.007267079,0.00085739465,0.026251743,0.0005639623,0.00063776993,0.00017606035,0.0090071205,0.006834615,0.02847123,0.904756,0.013088365,0.0020886506],"about_ca_topic_score_codex":0.000043411856,"about_ca_topic_score_gemma":0.000007184964,"teacher_disagreement_score":0.47373265,"about_ca_system_score_codex":0.00019411364,"about_ca_system_score_gemma":0.00008919026,"threshold_uncertainty_score":0.8816044},"labels":[],"label_agreement":null},{"id":"W1515378971","doi":"10.1090/s0002-9939-02-06430-4","title":"On Zariski’s multiplicity problem","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Multiplicity (mathematics); Mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.029679698854313694,"score_gpt":0.2717771455486673,"score_spread":0.24209744669435357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1515378971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9648959,0.000015164998,0.000732666,0.002548758,0.00003098258,0.00044076476,0.000005004548,0.00013117377,0.031199604],"genre_scores_gemma":[0.94155556,0.000016669277,0.05603658,0.00057341944,0.000051445353,0.00003645493,9.128325e-8,0.00003269682,0.001697077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983407,0.000011873543,0.00045515492,0.00029238357,0.00049560104,0.00040425756],"domain_scores_gemma":[0.9980759,0.00082258927,0.000632608,0.00022713338,0.0001390435,0.00010273029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040849784,0.00022673559,0.0005689803,0.00003953434,0.00016015358,0.000023903342,0.00060898764,0.0000762359,0.00034273506],"category_scores_gemma":[0.0014435449,0.00013999052,0.00047633913,0.00088123174,0.0008084398,0.000062886,0.00023767393,0.00035105218,0.00007445302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001475315,0.0010646585,0.001854403,0.0004572783,0.00015519472,1.5975108e-7,0.0028531852,0.000001099747,0.0012458276,0.9110436,0.07895855,0.0023513143],"study_design_scores_gemma":[0.00034162842,0.0002013446,0.00095120893,0.00008494083,0.00007566268,0.000012132862,0.0011702182,0.0018285763,0.0018527816,0.9929937,0.00027050625,0.00021729287],"about_ca_topic_score_codex":0.000009327594,"about_ca_topic_score_gemma":1.5004856e-7,"teacher_disagreement_score":0.08195013,"about_ca_system_score_codex":0.000059556914,"about_ca_system_score_gemma":0.000006662816,"threshold_uncertainty_score":0.57086474},"labels":[],"label_agreement":null},{"id":"W1526007248","doi":"10.1016/j.crma.2007.10.025","title":"The topology of the space of symplectic balls in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>","year":2007,"lang":"lv","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Symplectic geometry; Homotopy; Symplectic manifold; Ball (mathematics); Pure mathematics; Manifold (fluid mechanics); Space (punctuation); Mathematical analysis; Philosophy","score_opus":0.01915634093417675,"score_gpt":0.25382194893182025,"score_spread":0.2346656079976435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1526007248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8829525,0.0045015784,0.0023048408,0.0028334926,0.0053240247,0.00034550574,0.00086256117,0.00048530207,0.100390196],"genre_scores_gemma":[0.9846551,0.0031273118,0.004619533,0.0015177206,0.002086039,0.0011479347,0.00073635596,0.0011315723,0.0009784435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.98150957,0.0016543093,0.0051315366,0.003050825,0.0038070644,0.004846703],"domain_scores_gemma":[0.9789259,0.008555255,0.0053320252,0.00510563,0.00059726636,0.0014839373],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0051112785,0.002138203,0.0015254512,0.0014916399,0.0027716057,0.0012641669,0.005431683,0.0049320166,0.03247589],"category_scores_gemma":[0.0063713305,0.0029351886,0.0032965562,0.0035972537,0.004646692,0.0013821874,0.0043874457,0.004501366,0.002512494],"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":[0.0013477061,0.0011375237,0.000106924716,0.0025094766,0.0023528924,0.001185742,0.005302327,0.0009253959,0.0024766964,0.85838383,0.12245581,0.0018156657],"study_design_scores_gemma":[0.0076204003,0.005477912,0.00063378643,0.0037328177,0.0043935515,0.007902597,0.013405114,0.067355864,0.8323997,0.029019544,0.023046529,0.005012183],"about_ca_topic_score_codex":0.0031313386,"about_ca_topic_score_gemma":0.0029799612,"teacher_disagreement_score":0.82992303,"about_ca_system_score_codex":0.00012248628,"about_ca_system_score_gemma":0.0028574322,"threshold_uncertainty_score":0.9999494},"labels":[],"label_agreement":null},{"id":"W1531172582","doi":"10.26493/1855-3974.406.3ec","title":"Minimal covers of equivelar toroidal maps","year":2014,"lang":"en","type":"article","venue":"Ars Mathematica Contemporanea","topic":"Geometric and Algebraic Topology","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":"Mitacs","keywords":"Toroid; Torus; Mathematics; Covering space; Cover (algebra); Euclidean geometry; Plane (geometry); Combinatorics; Geometry; Topology (electrical circuits); Physics","score_opus":0.04058789558511034,"score_gpt":0.28508342551818544,"score_spread":0.2444955299330751,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1531172582","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8323634,0.00013575546,0.027832981,0.0009802328,0.00034157684,0.00064764835,0.000040623898,0.00020599674,0.13745174],"genre_scores_gemma":[0.9807283,0.000004543353,0.01669927,0.00012559217,0.00005389584,0.000019500296,0.000006861731,0.00004080231,0.0023212258],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979563,0.00014338997,0.0007997351,0.00030360968,0.0004063343,0.00039064934],"domain_scores_gemma":[0.9967814,0.001882437,0.0004638575,0.00060727895,0.00012565097,0.00013935777],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010642541,0.00025869109,0.00077459053,0.00019883711,0.00006666967,0.000017601258,0.00039962173,0.00015766794,0.0005926885],"category_scores_gemma":[0.002273223,0.00022216226,0.00021230265,0.00028751927,0.0002654617,0.00011015521,0.000110346795,0.00015352515,0.00018262211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005360814,0.00033055953,0.00047912603,0.00047109643,0.00013370969,0.00001078574,0.0013555981,7.7193823e-7,0.0021721325,0.98285633,0.011241427,0.00089483766],"study_design_scores_gemma":[0.001971707,0.00043994986,0.00014242102,0.00013393472,0.00011830455,0.00005651486,0.0009995495,0.00029218523,0.0051235016,0.98251814,0.0078038364,0.00039997607],"about_ca_topic_score_codex":0.000020960571,"about_ca_topic_score_gemma":0.0000054579505,"teacher_disagreement_score":0.14836486,"about_ca_system_score_codex":0.000026375183,"about_ca_system_score_gemma":0.00005217368,"threshold_uncertainty_score":0.9059514},"labels":[],"label_agreement":null},{"id":"W1534974993","doi":"10.1016/j.jalgebra.2015.12.017","title":"Construction of a two unique product semigroup defined by permutation relations of quaternion type","year":2016,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"Vrije Universiteit Brussel; Fonds Wetenschappelijk Onderzoek","keywords":"Mathematics; Monoid; Semigroup; Quaternion; Permutation (music); Order (exchange); Type (biology); Sigma; Product (mathematics); Combinatorics; Field (mathematics); Algebra over a field; Domain (mathematical analysis); Integral domain; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.02138094074266886,"score_gpt":0.2917588249417674,"score_spread":0.27037788419909853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1534974993","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9777979,0.00017345685,0.020283451,0.0010918628,0.00026591835,0.00008491687,0.0000070942588,0.000008659984,0.00028673245],"genre_scores_gemma":[0.98209155,0.000060577055,0.017334297,0.000009079756,0.00007305802,7.283082e-7,0.0000018213966,0.0000108421,0.00041804873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988056,0.000109523935,0.0006811183,0.000084547726,0.0002178797,0.00010133602],"domain_scores_gemma":[0.9978008,0.00044925892,0.0010923543,0.0001335039,0.0004806587,0.000043424032],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049921905,0.000083874256,0.00028610203,0.00027986805,0.0000244308,0.00000355509,0.00009844374,0.00006201513,0.00020885785],"category_scores_gemma":[0.0013820943,0.000055372617,0.00008554398,0.0003519749,0.000111140595,0.00016938697,0.000016294549,0.00010367677,0.000006240384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040928012,0.00067432644,0.051524032,0.00022399689,0.0004295194,0.000008833263,0.0016665178,0.000014747664,0.28860897,0.6152127,0.015046205,0.026180912],"study_design_scores_gemma":[0.0029547687,0.0013712231,0.008353531,0.00036223972,0.00026168014,0.00059445313,0.00046341782,0.00002739827,0.15351547,0.8309819,0.0008983422,0.00021556533],"about_ca_topic_score_codex":0.00001447841,"about_ca_topic_score_gemma":0.0000043276755,"teacher_disagreement_score":0.21576922,"about_ca_system_score_codex":0.000047242087,"about_ca_system_score_gemma":0.00010335402,"threshold_uncertainty_score":0.2286847},"labels":[],"label_agreement":null},{"id":"W1536440589","doi":"10.1090/jams/886","title":"Mixed 3-manifolds are virtually special","year":2017,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":76,"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; Agence Nationale de la Recherche","keywords":"Algorithm; Annotation; Computer science; Semantics (computer science); Artificial intelligence; Mathematics; Programming language","score_opus":0.039234360878594554,"score_gpt":0.2973831008515054,"score_spread":0.2581487399729108,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1536440589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95239824,0.0002253516,0.008413708,0.024980329,0.0034771918,0.00042203753,0.00004009045,0.000026858786,0.010016191],"genre_scores_gemma":[0.96073204,0.00029681987,0.024576481,0.0012194332,0.0073483344,0.0000035310954,2.3641405e-7,0.00009504448,0.005728053],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99549013,0.00034273628,0.0016847886,0.00031800105,0.0013820226,0.00078230485],"domain_scores_gemma":[0.9861775,0.0016140529,0.00962446,0.0017378993,0.00044765775,0.0003984298],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00224719,0.00051201927,0.0019632813,0.000077215045,0.0012225673,0.00042454898,0.0033936135,0.0002481,0.0010866259],"category_scores_gemma":[0.007412642,0.00031609638,0.002687755,0.00038905055,0.002946806,0.00027208083,0.0010838824,0.0014005076,0.0002629806],"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":[0.0003384284,0.0041167093,0.009678479,0.001302067,0.004898649,0.00026069992,0.009377882,0.000019092748,0.00056295964,0.33809882,0.61086243,0.020483768],"study_design_scores_gemma":[0.0026420748,0.0011352613,0.07550476,0.0012028607,0.0021322358,0.0011311172,0.01936927,0.0006693213,0.00046912886,0.88086677,0.013892198,0.0009850131],"about_ca_topic_score_codex":0.000017589906,"about_ca_topic_score_gemma":0.000007629934,"teacher_disagreement_score":0.59697026,"about_ca_system_score_codex":0.000266251,"about_ca_system_score_gemma":0.0003006387,"threshold_uncertainty_score":0.99992913},"labels":[],"label_agreement":null},{"id":"W1540809304","doi":"10.4171/jems/586","title":"The geometry of dented pentagram maps","year":2015,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Diagonal; Hyperplane; Invariant (physics); Mathematics; Pure mathematics; Algebraic number; Torus; Dimension (graph theory); Geometry; Combinatorics; Mathematical analysis; Mathematical physics","score_opus":0.05518745173723955,"score_gpt":0.312214698883488,"score_spread":0.25702724714624847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1540809304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8513211,0.0050778077,0.05148642,0.012569125,0.007141822,0.0019380716,0.00012430179,0.00014409695,0.07019724],"genre_scores_gemma":[0.94892216,0.00055387284,0.03910212,0.00033120008,0.0019179279,0.000005234118,0.0000035431124,0.00021223303,0.0089517],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953798,0.0010615534,0.0017773161,0.00020094863,0.0011906555,0.00038973714],"domain_scores_gemma":[0.9931726,0.0020524187,0.0029176902,0.0010245767,0.0006374907,0.00019526364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008671715,0.00034322662,0.0009196956,0.00007193355,0.00020301424,0.0000952953,0.002482466,0.00021308745,0.00009176734],"category_scores_gemma":[0.005883414,0.00016130775,0.0017925765,0.00042203875,0.00059687294,0.000045133813,0.0023419156,0.0018956229,0.000046612335],"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":[0.00008058803,0.0016698232,0.00055790803,0.0026098527,0.0033511883,0.000053641597,0.006229806,0.00013649135,0.00017801422,0.12092768,0.8581154,0.006089662],"study_design_scores_gemma":[0.00068103935,0.00009834033,0.00057235366,0.0005638742,0.0005253801,0.00029076214,0.0018208312,0.00015389218,0.00014023854,0.98964196,0.005284295,0.00022703026],"about_ca_topic_score_codex":0.0000016054064,"about_ca_topic_score_gemma":4.4779227e-7,"teacher_disagreement_score":0.8687143,"about_ca_system_score_codex":0.00014941783,"about_ca_system_score_gemma":0.0002055341,"threshold_uncertainty_score":0.82356435},"labels":[],"label_agreement":null},{"id":"W1542874651","doi":"10.2140/gt.2016.20.1127","title":"Cyclic group actions on contractible 4–manifolds","year":2016,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Contractible space; Mathematics; Homology (biology); Manifold (fluid mechanics); Pure mathematics; SPHERES; Group (periodic table); Fundamental group; 3-manifold; Combinatorics; Topology (electrical circuits); Physics","score_opus":0.055080462727127376,"score_gpt":0.3260797185554848,"score_spread":0.27099925582835743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1542874651","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9421528,0.00013774655,0.011198037,0.009259151,0.0025262556,0.0003460776,0.00003296405,0.00035250458,0.033994462],"genre_scores_gemma":[0.98804384,0.00008563921,0.0011000303,0.00073860004,0.00048351754,0.000062635736,0.0000043031687,0.00003935189,0.00944208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979471,0.00014846821,0.00042275953,0.0005017722,0.00022163338,0.00075825583],"domain_scores_gemma":[0.9953754,0.0035187574,0.000207578,0.0006592509,0.00006127832,0.00017774085],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003935808,0.00026789843,0.00049345096,0.0008867615,0.00020902819,0.000016030943,0.0003461783,0.0003597947,0.00681128],"category_scores_gemma":[0.001992055,0.00018450696,0.00016929768,0.00083370775,0.00030444036,0.00013015456,0.000105120176,0.00026995898,0.0018007647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000654061,0.0004282744,0.004732645,0.000017540278,0.00013952435,0.000047064193,0.0000455585,3.3077882e-7,0.0053497693,0.9487123,0.015642032,0.024819562],"study_design_scores_gemma":[0.0032659844,0.0014878912,0.037444383,0.000042797303,0.000148147,0.00047593436,0.00036813866,0.00000239573,0.006165388,0.60606563,0.34378228,0.00075105537],"about_ca_topic_score_codex":0.000088377245,"about_ca_topic_score_gemma":0.00007787648,"teacher_disagreement_score":0.3426467,"about_ca_system_score_codex":0.0001129087,"about_ca_system_score_gemma":0.000035317727,"threshold_uncertainty_score":0.99897647},"labels":[],"label_agreement":null},{"id":"W1549440425","doi":"10.4153/cjm-2015-025-5","title":"The SL(2, <i>C</i>) Casson Invariant for Knots and the <i>Â</i>-polynomial","year":2015,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Unknot; Invariant (physics); Knot (papermaking); Finite type invariant; Pure mathematics; Combinatorics; Polynomial; Invariant polynomial; Mathematical analysis; Matrix polynomial; Mathematical physics","score_opus":0.06610526512416434,"score_gpt":0.2803140817853887,"score_spread":0.21420881666122435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1549440425","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8088956,0.013870139,0.059311856,0.093522556,0.0061669163,0.003078501,0.00009324074,0.00004632264,0.015014912],"genre_scores_gemma":[0.97429,0.00007232594,0.02232396,0.00062926824,0.00076351454,0.000019158464,7.181517e-7,0.00004924426,0.0018517773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986631,0.00010172237,0.00059364096,0.000080399834,0.00020028559,0.0003608145],"domain_scores_gemma":[0.9950093,0.0034009733,0.00050957856,0.00026177752,0.00031416374,0.000504225],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034112744,0.0001406417,0.00038090433,0.00013135489,0.00032874258,0.00013371365,0.00043077624,0.000090530295,0.000010442819],"category_scores_gemma":[0.0080411555,0.00007065093,0.00012546076,0.00017357054,0.0004360606,0.00006770829,0.000027252308,0.0002359249,0.0000053161525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007322801,0.00003669419,0.00012438557,0.00008327382,0.00019944209,0.000056753863,0.007394923,0.000006106133,0.0000049775695,0.7469391,0.24266994,0.002411151],"study_design_scores_gemma":[0.0043929103,0.00022131432,0.000032855107,0.000067094494,0.00025597538,0.001937855,0.0071268617,0.00065935537,0.00007493695,0.8380226,0.14701915,0.00018910322],"about_ca_topic_score_codex":0.0005449819,"about_ca_topic_score_gemma":0.007987005,"teacher_disagreement_score":0.16539447,"about_ca_system_score_codex":0.00008405338,"about_ca_system_score_gemma":0.0010034603,"threshold_uncertainty_score":0.9626595},"labels":[],"label_agreement":null},{"id":"W1551475051","doi":"10.1007/s00222-016-0653-9","title":"Unimodular hyperbolic triangulations: circle packing and random walk","year":2016,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council","keywords":"Unimodular matrix; Random walk; Mathematics; Circle packing; Unit circle; Triangulation; Boundary (topology); Combinatorics; Metric (unit); Degree (music); Mathematical analysis; Geometry; Physics; Statistics","score_opus":0.04982202684616513,"score_gpt":0.2999668640749159,"score_spread":0.2501448372287508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1551475051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.876203,0.00053427473,0.1162455,0.0029125505,0.00020726338,0.0005342522,0.000008589785,0.00024616456,0.0031083962],"genre_scores_gemma":[0.98839206,0.00006026729,0.008944778,0.000059359263,0.000106980704,0.000053933498,0.000001794402,0.000032382908,0.002348475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863845,0.00011205611,0.0004891073,0.00026018,0.00022237042,0.00027783553],"domain_scores_gemma":[0.99803704,0.001208243,0.00019810496,0.0003833191,0.00007193939,0.00010132893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065164035,0.00016005161,0.0003874488,0.00024650607,0.00014968989,0.000034535515,0.00014142986,0.00010380667,0.00067759806],"category_scores_gemma":[0.0019951535,0.00011280328,0.00012429537,0.0003178194,0.0001665683,0.00017116006,0.00007856206,0.000063673644,0.00018120027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023217226,0.00021530932,0.0006284289,0.00024164948,0.00011726807,0.0000088752795,0.00051129604,2.127175e-7,0.00222218,0.9527257,0.00069591915,0.042609952],"study_design_scores_gemma":[0.0024321924,0.000032884273,0.0017945336,0.00019046059,0.000080894744,0.0000687001,0.00017536005,0.000077424804,0.0007280188,0.99302727,0.0012105117,0.00018174571],"about_ca_topic_score_codex":0.0000044048875,"about_ca_topic_score_gemma":0.00000430984,"teacher_disagreement_score":0.11218902,"about_ca_system_score_codex":0.000026450583,"about_ca_system_score_gemma":0.000019413512,"threshold_uncertainty_score":0.7419224},"labels":[],"label_agreement":null},{"id":"W1553375857","doi":"10.1090/s0002-9947-03-03529-3","title":"Non-isotopic symplectic tori in the same homology class","year":2003,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Torus; Pure mathematics; Homology (biology); Class (philosophy); Geometry; Chemistry; Artificial intelligence","score_opus":0.020947994727997014,"score_gpt":0.2821394314093139,"score_spread":0.2611914366813169,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1553375857","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8149876,0.0002765138,0.16361149,0.010550747,0.0006190039,0.0016485718,0.00003974226,0.000058768906,0.008207573],"genre_scores_gemma":[0.98815745,0.00014684639,0.008937797,0.0010729873,0.00005460416,0.00009974221,6.615561e-7,0.00004517222,0.0014847106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99651206,0.0007031628,0.0010237889,0.00041924202,0.0005581731,0.00078356394],"domain_scores_gemma":[0.9945162,0.0033739829,0.00060945353,0.001305203,0.00009079793,0.000104391256],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013419583,0.00041152924,0.0011221275,0.00010112834,0.00036541995,0.000036028225,0.0010893573,0.0002346083,0.000998455],"category_scores_gemma":[0.00057992514,0.00025469484,0.0011017275,0.0026620524,0.0022690452,0.000072665156,0.0000342972,0.0010902672,0.00008982571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072237126,0.00852874,0.003680842,0.0026992464,0.0018560886,0.000016067828,0.057862397,0.0003725984,0.0008023699,0.91275626,0.0066293553,0.00472378],"study_design_scores_gemma":[0.0017601721,0.0009302002,0.006164969,0.00023261792,0.0013554193,0.00040648985,0.051271297,0.0022029327,0.0008296257,0.93201303,0.002051855,0.0007813649],"about_ca_topic_score_codex":0.00024643555,"about_ca_topic_score_gemma":0.000059623057,"teacher_disagreement_score":0.1731699,"about_ca_system_score_codex":0.00018658537,"about_ca_system_score_gemma":0.00021682857,"threshold_uncertainty_score":0.9999905},"labels":[],"label_agreement":null},{"id":"W1556245506","doi":"10.1142/s0218216517500080","title":"A small infinitely-ended 2-knot group","year":2016,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 Victoria","funders":"","keywords":"Knot (papermaking); Mathematics; Combinatorics; Base (topology); Mathematical analysis","score_opus":0.06617030698432207,"score_gpt":0.2969219432478386,"score_spread":0.23075163626351652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1556245506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9098506,0.0013068168,0.079702504,0.004056504,0.0003676242,0.00017948476,0.000018324796,0.000039450835,0.004478663],"genre_scores_gemma":[0.9938803,0.00033120837,0.0019820882,0.00013351344,0.00017977657,0.000004138259,5.5073536e-7,0.000012442274,0.0034760106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882555,0.0002687472,0.00049801613,0.0001129928,0.00012124526,0.00017341919],"domain_scores_gemma":[0.99627626,0.0027983063,0.00041326415,0.00018367865,0.00019866321,0.00012983421],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014178823,0.000110940746,0.0002474164,0.00030260585,0.00012802906,0.00002006377,0.00021216393,0.00009132806,0.00034344645],"category_scores_gemma":[0.0035690565,0.00006623242,0.00009860745,0.0002641543,0.000111723624,0.00014874202,0.000036137448,0.00016905884,0.000041806023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000593565,0.00015067437,0.00009435085,0.0000164212,0.00006514545,0.0000045328898,0.0003530286,1.4372591e-7,0.0042113336,0.9794792,0.00067772093,0.01488811],"study_design_scores_gemma":[0.0009005859,0.00020408884,0.003375191,0.00006939915,0.000103919694,0.00024326767,0.00041364913,0.0000046994924,0.0009770402,0.97787565,0.01570291,0.00012960569],"about_ca_topic_score_codex":3.0997205e-7,"about_ca_topic_score_gemma":0.000001492655,"teacher_disagreement_score":0.084029645,"about_ca_system_score_codex":0.000021067446,"about_ca_system_score_gemma":0.000051421903,"threshold_uncertainty_score":0.42727518},"labels":[],"label_agreement":null},{"id":"W1561706302","doi":"10.1142/s0129167x17500598","title":"Exact Lagrangian cobordism and pseudo-isotopy","year":2017,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"","keywords":"Isotopy; Cobordism; Mathematics; Lagrangian; Conjecture; Hamiltonian (control theory); Pure mathematics; Dimension (graph theory); Suspension (topology); Mathematical analysis; Homotopy","score_opus":0.0394240162656456,"score_gpt":0.34777948329311764,"score_spread":0.308355467027472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1561706302","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96537495,0.00013840293,0.019194795,0.004878812,0.0013466305,0.00009991467,0.000010579751,0.00001780776,0.0089380825],"genre_scores_gemma":[0.94738406,0.00012555932,0.05107224,0.000085549254,0.00042252778,0.0000011612867,4.812628e-7,0.000017418215,0.00089102006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987545,0.00002190476,0.0005268401,0.000088061905,0.00046857854,0.00014012061],"domain_scores_gemma":[0.99772245,0.00047093534,0.0010728152,0.00026590575,0.00037124552,0.00009667451],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063737645,0.00012267556,0.00030651892,0.00021955746,0.00011946755,0.00016746948,0.00077906565,0.000077693774,0.00019369241],"category_scores_gemma":[0.00239225,0.000094699615,0.000121710065,0.000029922829,0.00014530098,0.00024393803,0.00015292295,0.00019314825,0.000016911172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006312136,0.0009779054,0.009704431,0.00019576511,0.0011462343,0.0007436909,0.0035332846,0.0000028683278,0.00095043366,0.9408744,0.013813702,0.027994169],"study_design_scores_gemma":[0.0016866805,0.00014431824,0.0068227276,0.0002319572,0.000115817405,0.0026023642,0.0008970862,0.00030133018,0.00075903814,0.9810253,0.00519869,0.00021474037],"about_ca_topic_score_codex":0.0000075743815,"about_ca_topic_score_gemma":0.00000520587,"teacher_disagreement_score":0.040150855,"about_ca_system_score_codex":0.00003114855,"about_ca_system_score_gemma":0.000039180803,"threshold_uncertainty_score":0.3861738},"labels":[],"label_agreement":null},{"id":"W1569303315","doi":"10.1090/s0002-9939-03-07008-4","title":"Recognition of subgroups of direct products of hyperbolic groups","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Queen's University","funders":"Engineering and Physical Sciences Research Council","keywords":"Pure mathematics; Mathematics; Biology","score_opus":0.02986794365712604,"score_gpt":0.26355424752147244,"score_spread":0.2336863038643464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569303315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.990346,0.000058588917,0.00017816664,0.00018714434,0.000031357347,0.0003426959,0.000012728188,0.00002263711,0.00882064],"genre_scores_gemma":[0.9501783,0.00004315179,0.04958492,0.000027182095,0.000021047053,0.000014106804,4.093039e-7,0.000024545845,0.000106282954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822617,0.000029558678,0.00081763434,0.00022163521,0.00044992985,0.00025510523],"domain_scores_gemma":[0.996922,0.000629626,0.0016340277,0.00022392593,0.00054026546,0.00005011743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096347305,0.00017893522,0.0009678482,0.00006538324,0.000037153277,0.0000035029616,0.00036597333,0.00007115713,0.000062313426],"category_scores_gemma":[0.0047608777,0.00012230598,0.00040905905,0.0014505647,0.0012445872,0.00006908766,0.00010931395,0.00015316273,0.0000021180767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010075742,0.0036013583,0.0143269645,0.012577103,0.00085832947,1.6233295e-7,0.010732126,7.6191026e-7,0.23941217,0.71034986,0.0044245976,0.0036158103],"study_design_scores_gemma":[0.00034733376,0.00029498187,0.0020263647,0.00022929473,0.00024480358,0.000013504235,0.0043450063,0.00002863398,0.37707818,0.61518955,0.00003728059,0.00016506352],"about_ca_topic_score_codex":0.000014837635,"about_ca_topic_score_gemma":1.3858103e-7,"teacher_disagreement_score":0.13766602,"about_ca_system_score_codex":0.000023460738,"about_ca_system_score_gemma":0.00004129984,"threshold_uncertainty_score":0.5699559},"labels":[],"label_agreement":null},{"id":"W1575083703","doi":"10.1103/physrevlett.103.250501","title":"Experimental Approximation of the Jones Polynomial with One Quantum Bit","year":2009,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Quantum computer; Qubit; Quantum algorithm; Jones polynomial; Braid; Quantum mechanics; Polynomial; Knot (papermaking); Knot theory; Quantum; Computer science; Discrete mathematics; Mathematics; Physics; Mathematical analysis","score_opus":0.035069265975395086,"score_gpt":0.31015830176918285,"score_spread":0.27508903579378774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1575083703","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98284584,0.0012686321,0.0009094249,0.014319908,0.00004133242,0.00036404288,0.0000014788204,0.000021990678,0.00022737688],"genre_scores_gemma":[0.99442476,0.00005882426,0.00066769816,0.0047104815,0.000106493935,0.000012680874,0.0000011586485,0.0000073498545,0.000010567924],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9992529,0.00006572791,0.00019243067,0.00012942324,0.00021942641,0.00014005654],"domain_scores_gemma":[0.99941176,0.00012921928,0.00016619147,0.00024822017,0.000015903308,0.00002870442],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000089082394,0.00010581322,0.00033025263,0.000026200343,0.000036607948,0.0000046592886,0.0001657371,0.000008141498,0.000026394518],"category_scores_gemma":[0.000099610676,0.000060292637,0.00011699271,0.00029577926,0.000095725365,0.00004983905,0.000024064364,0.00009263443,0.000012041294],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012241396,0.0045949486,0.0003857809,0.0035837572,0.0002560321,0.0000065784043,0.0018804437,0.000023068555,0.5066015,0.42433178,0.042197183,0.016016517],"study_design_scores_gemma":[0.009548073,0.0051910826,0.04748414,0.018405532,0.0028984756,0.00013206317,0.00073730707,0.003572697,0.7142836,0.18010123,0.013634628,0.0040111584],"about_ca_topic_score_codex":0.0000054698844,"about_ca_topic_score_gemma":1.3877232e-7,"teacher_disagreement_score":0.24423055,"about_ca_system_score_codex":0.00001789449,"about_ca_system_score_gemma":0.000010107986,"threshold_uncertainty_score":0.24586624},"labels":[],"label_agreement":null},{"id":"W1577789785","doi":"10.1016/j.dam.2017.09.003","title":"Partially directed snake polyominoes","year":2017,"lang":"en","type":"preprint","venue":"Discrete Applied Mathematics","topic":"Geometric and Algebraic Topology","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 Trois-Rivières","funders":"","keywords":"Polyomino; Inscribed figure; Rectangle; Mathematics; Combinatorics; Conjecture; Focus (optics); Class (philosophy); Computer science; Geometry; Physics; Artificial intelligence","score_opus":0.055091542873715794,"score_gpt":0.3222935187412614,"score_spread":0.26720197586754557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1577789785","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.312915,0.00122199,0.13264793,0.0026649756,0.004282333,0.0069173663,0.00088005495,0.004799147,0.5336712],"genre_scores_gemma":[0.75311196,0.00017495545,0.23832327,0.00013951179,0.0009224851,0.00065489183,0.00024582417,0.0003444079,0.006082709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960651,0.000047746762,0.0012367083,0.00097388256,0.000749417,0.0009271681],"domain_scores_gemma":[0.99382013,0.0009037058,0.0016728974,0.0031714565,0.00014419452,0.00028758709],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007421648,0.0009462288,0.0017952597,0.00035903428,0.0004085898,0.00033698825,0.0014630291,0.0010063032,0.0005818453],"category_scores_gemma":[0.0013912662,0.00080885825,0.00046913835,0.00017303434,0.00043182072,0.000060509814,0.0020907198,0.0011825637,0.00032233537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000341038,0.00050903787,0.00003808196,0.0028509335,0.0007093987,0.00008570734,0.0028303363,0.000015393167,0.0004534066,0.9722083,0.016196063,0.00406922],"study_design_scores_gemma":[0.0006087395,0.00003141635,0.00013094315,0.0002699369,0.0005449575,0.00003136852,0.00041487964,0.00074976985,0.0015009958,0.99195206,0.0027489606,0.0010159599],"about_ca_topic_score_codex":0.00002936025,"about_ca_topic_score_gemma":0.000044134817,"teacher_disagreement_score":0.5275885,"about_ca_system_score_codex":0.00009313281,"about_ca_system_score_gemma":0.00025284762,"threshold_uncertainty_score":0.9994362},"labels":[],"label_agreement":null},{"id":"W1578314346","doi":"10.1090/s0002-9947-03-03358-0","title":"The geometry of profinite graphs with applications to free groups and finite monoids","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Fundação para a Ciência e a Tecnologia; Universidade do Porto; National Science Foundation","keywords":"Mathematics; Profinite group; Pure mathematics; Combinatorics; Algebra over a field; Group (periodic table)","score_opus":0.016317578109932656,"score_gpt":0.26566036293504497,"score_spread":0.24934278482511232,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1578314346","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27937993,0.000062728526,0.71751285,0.0013504066,0.000018056826,0.0006988453,0.00003105287,0.00003440697,0.00091172237],"genre_scores_gemma":[0.8884215,0.000063424406,0.11086707,0.00010436763,0.0000060878588,0.00016719093,2.326933e-7,0.000021586457,0.0003485702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988104,0.000087447355,0.00039158505,0.00018292184,0.00028165954,0.00024597932],"domain_scores_gemma":[0.99647254,0.0022711814,0.00028256388,0.00078689575,0.000096475116,0.00009032184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044987845,0.00015384857,0.000382541,0.00005746772,0.0002960159,0.000012522326,0.00041993862,0.00004543301,0.00004119663],"category_scores_gemma":[0.00031787838,0.000082773564,0.00023479077,0.0017264957,0.001317773,0.00003450591,0.000028270457,0.00021002763,0.0000030687959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003692466,0.00060868135,0.0009248738,0.00034838083,0.00048608816,1.3895873e-7,0.0022594752,0.00008942836,0.00042616107,0.989269,0.00052049896,0.0050303508],"study_design_scores_gemma":[0.00048009594,0.0003386509,0.0015260372,0.000044296816,0.00030702588,0.00002023208,0.0063733747,0.00018725463,0.0020957447,0.9877058,0.0007101645,0.00021132032],"about_ca_topic_score_codex":0.000018125564,"about_ca_topic_score_gemma":0.00000685348,"teacher_disagreement_score":0.6090415,"about_ca_system_score_codex":0.000016965801,"about_ca_system_score_gemma":0.00003956294,"threshold_uncertainty_score":0.48553893},"labels":[],"label_agreement":null},{"id":"W1581557882","doi":"10.1007/0-8176-4419-9_10","title":"Localization theorems by symplectic cuts","year":2007,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Geometric and Algebraic Topology","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":"Mathematics; Symplectic geometry; Equivariant map; Pure mathematics; Symplectic manifold; Moment map; Equivariant cohomology; Torus; Zero (linguistics); Hamiltonian (control theory); Cone (formal languages); Mathematical analysis; Cohomology; Geometry","score_opus":0.06302578626429393,"score_gpt":0.30299219426374097,"score_spread":0.23996640799944702,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1581557882","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0001449026,0.0006339233,0.02947727,0.0000677251,0.00065461,0.00064037304,0.000054497006,0.00040788006,0.9679188],"genre_scores_gemma":[0.00907037,0.0000628038,0.0006455454,0.0008437612,0.00037882983,0.000018790208,0.00008987449,0.00030506225,0.98858494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972905,0.000043877488,0.0007816332,0.0006789998,0.0005916977,0.0006132806],"domain_scores_gemma":[0.9977013,0.0005476493,0.00053945096,0.0008101897,0.00018675726,0.00021467314],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005179824,0.0006655162,0.00077764585,0.00066881796,0.00019609286,0.000049716487,0.0004291203,0.0010713385,0.0015957807],"category_scores_gemma":[0.00019603841,0.000620985,0.00027354495,0.00007229309,0.00034493938,0.00004005925,0.00015474482,0.0006113997,0.0005642642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024623801,0.000028339311,0.0000122816655,0.00010638842,0.00013317775,0.000042680294,0.00021398618,2.0766225e-7,0.00001648661,0.9373134,0.052152283,0.009956174],"study_design_scores_gemma":[0.0003076374,0.00009650312,0.0000012678363,0.00008673413,0.00013780882,0.000050097475,0.00001660937,0.00000835338,0.00024065067,0.5573606,0.44124758,0.00044616085],"about_ca_topic_score_codex":0.000028858887,"about_ca_topic_score_gemma":0.0000567813,"teacher_disagreement_score":0.3890953,"about_ca_system_score_codex":0.00017403487,"about_ca_system_score_gemma":0.00012695233,"threshold_uncertainty_score":0.99962413},"labels":[],"label_agreement":null},{"id":"W1585156349","doi":"10.4171/lem/61-3/4-4","title":"The lower central series of a right-angled Artin group","year":2016,"lang":"en","type":"preprint","venue":"L’Enseignement Mathématique","topic":"Geometric and Algebraic Topology","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; Series (stratigraphy); Extension (predicate logic); Quotient; Group (periodic table); Simple (philosophy); Combinatorics; Commutative property; Poincaré series; Pure mathematics; Algebra over a field; Computer science; Paleontology; Geology; Physics","score_opus":0.017967453763628082,"score_gpt":0.2594555822475073,"score_spread":0.24148812848387924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1585156349","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83534986,0.0015872734,0.06453167,0.01220818,0.0059509217,0.005059287,0.00037030957,0.0007227058,0.07421981],"genre_scores_gemma":[0.98348075,0.00031269027,0.008677362,0.00016680197,0.0003619416,0.00037279553,0.000027570912,0.00009814069,0.0065019494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964887,0.00030572963,0.001280258,0.00054087775,0.0005708885,0.0008135406],"domain_scores_gemma":[0.996329,0.0008945394,0.0011298765,0.0013259733,0.00018163896,0.00013898002],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00087582617,0.000541611,0.0008741555,0.00019770396,0.0002480714,0.0000784855,0.0008297133,0.0004935138,0.0011333114],"category_scores_gemma":[0.00064691994,0.00031789686,0.00040995065,0.00020238946,0.00035870276,0.00007575427,0.0009476519,0.0005343343,0.000062879284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011188549,0.00049238,0.00008485863,0.00072315807,0.00039429884,0.0000436574,0.0018297504,0.0000020410407,0.0004328788,0.95808816,0.036802307,0.0009946025],"study_design_scores_gemma":[0.0005937552,0.000276303,0.0010852282,0.0004174114,0.00013920042,0.000026384285,0.00036713152,0.000025976604,0.0027007246,0.9798325,0.014082082,0.00045333695],"about_ca_topic_score_codex":0.000025881267,"about_ca_topic_score_gemma":0.00017362586,"teacher_disagreement_score":0.1481309,"about_ca_system_score_codex":0.00016345827,"about_ca_system_score_gemma":0.00019500603,"threshold_uncertainty_score":0.9999273},"labels":[],"label_agreement":null},{"id":"W1585382971","doi":"10.1007/978-1-4757-3240-5_28","title":"Squaring the Circle","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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":"Simon Fraser University","funders":"","keywords":"Chord (peer-to-peer); Perpendicular; Point (geometry); Great circle; Geometry; Mathematics; Combinatorics; Geodesy; Physics; Art; Geology; Computer science","score_opus":0.04570636805014177,"score_gpt":0.26927662774940414,"score_spread":0.22357025969926236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1585382971","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00007502481,0.00021530282,0.00039274857,0.0005246831,0.00014190594,0.00014020181,0.0000026731993,0.00010080746,0.99840665],"genre_scores_gemma":[0.012160355,0.00008552355,0.00042086022,0.00034289737,0.00024135913,0.0000034888735,0.0000024606184,0.000041713934,0.98670137],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992471,0.000007101994,0.00022072998,0.00018964555,0.0001598085,0.00017565164],"domain_scores_gemma":[0.998995,0.0004142476,0.00008347863,0.00045343142,0.00001803193,0.00003580717],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00012984309,0.0001609879,0.00025004157,0.000105382765,0.00008060959,0.000017091845,0.00026062387,0.00023192588,0.02578398],"category_scores_gemma":[0.00004304846,0.00010750912,0.00013530263,0.000028735898,0.00008871372,0.000014389095,0.000065533466,0.00030970786,0.001760969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000011361952,0.0000048080556,8.839232e-7,0.000011336202,0.000036151974,0.000006221586,0.000038920898,1.4915727e-7,1.4575025e-7,0.9550316,0.014341642,0.030527009],"study_design_scores_gemma":[0.000051033803,0.00001226787,0.000009475214,0.00001207341,0.000032588272,0.000017289442,0.000009259347,0.0000015947132,0.0000028594661,0.67605305,0.32370007,0.00009843053],"about_ca_topic_score_codex":0.000016510969,"about_ca_topic_score_gemma":0.000016978402,"teacher_disagreement_score":0.30935845,"about_ca_system_score_codex":0.000018256556,"about_ca_system_score_gemma":0.000025053801,"threshold_uncertainty_score":0.9990163},"labels":[],"label_agreement":null},{"id":"W1586977863","doi":"10.1007/s00029-016-0266-6","title":"Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces","year":2016,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Computer Research Institute of Montréal","funders":"Université de Genève; Simons Foundation; Max-Planck-Gesellschaft; Fonds Québécois de la Recherche sur la Nature et les Technologies; National Science Foundation","keywords":"Fibered knot; Mathematics; Chern–Simons theory; Pure mathematics; Isometry group; Monodromy; Quotient; Homology (biology); Mathematical physics; Gauge theory","score_opus":0.04164197386694401,"score_gpt":0.31779375760898015,"score_spread":0.27615178374203614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1586977863","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43051392,0.0037817264,0.55976564,0.0019933968,0.00007262981,0.0014469972,0.00041042015,0.00020241954,0.0018128743],"genre_scores_gemma":[0.9649126,0.00014013465,0.027146349,0.000020280277,0.000035188896,0.000100960366,0.000010343347,0.00004460818,0.007589522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982209,0.000063580366,0.0006464689,0.00035493076,0.00027067604,0.00044344887],"domain_scores_gemma":[0.99718606,0.0016910199,0.000368369,0.00047544244,0.00015759922,0.000121522266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060134934,0.00025200486,0.0010287913,0.0004922233,0.00006837649,0.000026321648,0.0002457988,0.00013785477,0.00014420792],"category_scores_gemma":[0.0012235786,0.00016527584,0.00022876658,0.00095038844,0.00011684377,0.00008981064,0.00006432521,0.00007134024,0.00000812293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010553549,0.0006408774,0.002001701,0.0064653917,0.0050113616,0.00000448532,0.0018191269,0.00003706961,0.0025296144,0.96041906,0.02024801,0.0007177509],"study_design_scores_gemma":[0.0022715018,0.0004521846,0.00080541166,0.0011124525,0.0078083877,0.000055016142,0.00041610503,0.27399248,0.0019557332,0.7098154,0.00034160673,0.0009737421],"about_ca_topic_score_codex":0.000016485352,"about_ca_topic_score_gemma":0.000059089147,"teacher_disagreement_score":0.53439873,"about_ca_system_score_codex":0.00004359358,"about_ca_system_score_gemma":0.00007808451,"threshold_uncertainty_score":0.6739753},"labels":[],"label_agreement":null},{"id":"W1591499220","doi":"10.1007/3-540-36390-4_18","title":"Crystal Lattice Automata","year":2002,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Automaton; Lattice (music); Crystal (programming language); Computer science; Quantum finite automata; Automata theory; Theoretical computer science; Programming language; Physics","score_opus":0.03743746530185504,"score_gpt":0.2754160176575586,"score_spread":0.23797855235570353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1591499220","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00035759775,0.00025515084,0.96126866,0.0007033564,0.0012111177,0.00024826225,0.000008286486,0.00018314592,0.035764392],"genre_scores_gemma":[0.2729057,0.0000897437,0.7046025,0.0021763984,0.001675208,0.000009877119,0.000007935289,0.00013779984,0.018394848],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975628,0.000020120075,0.00041254103,0.0008106612,0.00065251713,0.0005413208],"domain_scores_gemma":[0.9974896,0.0012016796,0.00022071355,0.0008614853,0.000105668514,0.000120874516],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005147438,0.0003776159,0.0005229556,0.0007995896,0.00014323762,0.00010676149,0.0011561648,0.00036702526,0.0006201371],"category_scores_gemma":[0.0004590371,0.00032888123,0.00010759606,0.0004756304,0.00073568855,0.00012348006,0.00057230983,0.00068449584,0.00015531818],"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":[0.000007862964,0.00013772602,0.00007144496,0.00022593571,0.000047280493,0.00036694793,0.0011151102,0.0006939498,0.000026856991,0.40030584,0.0012590387,0.59574205],"study_design_scores_gemma":[0.00026127943,0.000120706165,0.000048460755,0.0001616726,0.000022462847,0.00016877631,1.7570447e-7,0.024139252,0.00007242151,0.9684329,0.0060974457,0.00047444875],"about_ca_topic_score_codex":0.000007942232,"about_ca_topic_score_gemma":0.000015935064,"teacher_disagreement_score":0.5952676,"about_ca_system_score_codex":0.00013897095,"about_ca_system_score_gemma":0.00013194152,"threshold_uncertainty_score":0.9999163},"labels":[],"label_agreement":null},{"id":"W1595438840","doi":"10.1007/978-3-7643-9911-5_4","title":"Regular Sets and Counting in Free Groups","year":2010,"lang":"en","type":"book-chapter","venue":"Birkhäuser Basel eBooks","topic":"Geometric and Algebraic Topology","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":"Cayley graph; Coset; Mathematics; Mathematics Subject Classification; Combinatorics; Rank (graph theory); Infinity; Graph; Discrete mathematics; Finitely-generated abelian group; Random walk; Group (periodic table); Free product; Statistics","score_opus":0.033199671961707374,"score_gpt":0.25578396261295533,"score_spread":0.22258429065124796,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1595438840","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.023820529,0.0014324628,0.00032986436,0.0005766733,0.0010233992,0.00085355813,0.00012783997,0.00028149787,0.97155416],"genre_scores_gemma":[0.017888075,0.00007990294,0.011844545,0.000592231,0.0005452384,0.000038056274,0.000024147512,0.00028440534,0.9687034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797916,0.000032946948,0.0005865212,0.0005890552,0.00034432323,0.00046800342],"domain_scores_gemma":[0.99793476,0.00057205127,0.00032214998,0.0009490175,0.000080077705,0.00014195716],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007101204,0.00048380403,0.00072346267,0.00063313526,0.00009749648,0.00004799297,0.00039519204,0.0008639596,0.00057476654],"category_scores_gemma":[0.00040153076,0.000479091,0.0001285083,0.00003551888,0.0003332307,0.000049977938,0.000358247,0.0011138642,0.000066953595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013833034,0.000021927028,0.00010454035,0.0002865433,0.000060936018,0.0001928923,0.0003033713,2.6883242e-8,0.00006244956,0.98567,0.005602363,0.007681168],"study_design_scores_gemma":[0.000707756,0.000034883433,0.00008630566,0.00021250748,0.00007914403,0.00009540887,0.000027730408,0.0000073283154,0.00009168893,0.8241021,0.17410012,0.00045500588],"about_ca_topic_score_codex":0.000083364765,"about_ca_topic_score_gemma":0.0006793053,"teacher_disagreement_score":0.16849776,"about_ca_system_score_codex":0.00004569875,"about_ca_system_score_gemma":0.00009678379,"threshold_uncertainty_score":0.99976605},"labels":[],"label_agreement":null},{"id":"W1597231587","doi":"10.1007/s00454-015-9721-y","title":"Cubic Tessellations of the Helicosms","year":2015,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Tessellation (computer graphics); Mathematics; Combinatorics; Quotient; Isomorphism (crystallography); Manifold (fluid mechanics); Euclidean space; Torus; Tetrahedron; Group (periodic table); Euclidean geometry; Cubic form; Geometry; Crystallography; Physics; Crystal structure","score_opus":0.07189115578235901,"score_gpt":0.3302668407585173,"score_spread":0.2583756849761583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1597231587","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9304733,0.00024100237,0.057139337,0.0013076486,0.00045121985,0.0002265595,0.000049195452,0.00005953228,0.010052197],"genre_scores_gemma":[0.989834,0.000001096804,0.009004048,0.00013735762,0.00008057506,0.0000059129975,0.00002054778,0.000014053756,0.0009023686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987866,0.0000730598,0.00033436934,0.00016467687,0.00046460208,0.00017667022],"domain_scores_gemma":[0.99847966,0.00073315814,0.0001987246,0.00024669306,0.00025356142,0.00008821331],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030002405,0.00011429699,0.00020085405,0.00023578887,0.00008621311,0.000014069282,0.00027901176,0.0000641326,0.00015975228],"category_scores_gemma":[0.0009831153,0.000080608545,0.0001168702,0.0013717288,0.0001552007,0.000063494976,0.00012931562,0.00012631362,0.00005194707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001683544,0.00020546315,0.033895146,0.000060736038,0.00012660718,0.0000020416462,0.0007433376,0.01781881,0.00004820961,0.9306115,0.014668041,0.0018032605],"study_design_scores_gemma":[0.0005621465,0.000056924782,0.046372537,0.000020444935,0.000041614025,0.000021497131,0.000470582,0.003592883,0.00018821105,0.9468627,0.0016606965,0.00014973828],"about_ca_topic_score_codex":0.000018532437,"about_ca_topic_score_gemma":0.0000025639254,"teacher_disagreement_score":0.05936073,"about_ca_system_score_codex":0.000032370812,"about_ca_system_score_gemma":0.00013478631,"threshold_uncertainty_score":0.3287121},"labels":[],"label_agreement":null},{"id":"W1601094394","doi":"","title":"Certain combinatorial topics in group theory","year":2013,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Geometric and Algebraic Topology","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":"Group (periodic table); Computer science; Mathematics; Combinatorics; Physics; Quantum mechanics","score_opus":0.21632082519057552,"score_gpt":0.5277119371615506,"score_spread":0.31139111197097513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1601094394","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9763656,0.0033821333,0.0006824832,0.00044085382,0.0017874466,0.0007560466,0.000008055541,0.000045813413,0.016531529],"genre_scores_gemma":[0.9963734,0.00091856846,0.0006237476,0.00027308322,0.0003742334,0.000072204326,0.0000045429133,0.000048352733,0.001311849],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997007,0.00056700007,0.0010123468,0.0003728267,0.0005220547,0.0005187315],"domain_scores_gemma":[0.99679023,0.0016025802,0.0006515512,0.0005372601,0.0001987128,0.00021963638],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020015223,0.00030301217,0.0008971281,0.0010924961,0.00013665982,0.00053148414,0.002399215,0.00022070498,0.027185393],"category_scores_gemma":[0.001967637,0.00026058976,0.00017529012,0.0013314683,0.00017126354,0.00128486,0.00089166075,0.00056270766,0.00006653142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001714042,0.0013421556,0.41101515,0.00022824209,0.0002616755,0.000079569545,0.00065029337,0.0000091414195,0.0040703802,0.44168106,0.10368878,0.036802158],"study_design_scores_gemma":[0.0008363304,0.000014440671,0.20774277,0.000097178316,0.00003028083,0.000009247494,0.0001786781,0.00001535544,0.0008747035,0.78589296,0.0040415535,0.00026649947],"about_ca_topic_score_codex":0.0010776425,"about_ca_topic_score_gemma":0.00004891704,"teacher_disagreement_score":0.3442119,"about_ca_system_score_codex":0.00010168189,"about_ca_system_score_gemma":0.000082579005,"threshold_uncertainty_score":0.9999846},"labels":[],"label_agreement":null},{"id":"W1607728922","doi":"10.1017/s0305004116000566","title":"The slope conjecture for graph knots","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"","keywords":"Conjecture; Mathematics; Graph; Combinatorics; Pure mathematics","score_opus":0.03474147475750416,"score_gpt":0.278428996888661,"score_spread":0.24368752213115685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1607728922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5504675,0.0003529412,0.020559529,0.40004364,0.0007208564,0.0037795552,0.00014312653,0.00039491244,0.023537934],"genre_scores_gemma":[0.99147546,0.000034706405,0.005500891,0.000549455,0.00044285782,0.00014508155,3.7795297e-7,0.000053677635,0.001797461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99777675,0.000018395218,0.0006980873,0.00037366548,0.0005437711,0.00058936037],"domain_scores_gemma":[0.9950784,0.0036905645,0.0004091758,0.00033773767,0.0003358054,0.00014834882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012112568,0.000303183,0.0005429643,0.000028538852,0.0005015893,0.000047322446,0.0010474196,0.00030328575,0.000036616508],"category_scores_gemma":[0.0044244938,0.00011981788,0.0009494122,0.00047058504,0.0012195758,0.000094798175,0.0003700437,0.0003109847,0.00001639701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030381285,0.00012121651,0.00007450701,0.0003076977,0.00012648465,9.193606e-8,0.00009452908,2.8500098e-8,0.0019934876,0.95991266,0.036607347,0.0007315901],"study_design_scores_gemma":[0.000809996,0.000112121095,0.00017145545,0.00013314234,0.000120959965,0.000023505256,0.00010352823,0.000042078875,0.0038787648,0.99168366,0.0027249868,0.00019580108],"about_ca_topic_score_codex":5.2145606e-7,"about_ca_topic_score_gemma":1.0152501e-7,"teacher_disagreement_score":0.44100797,"about_ca_system_score_codex":0.00006317928,"about_ca_system_score_gemma":0.000037005197,"threshold_uncertainty_score":0.5296852},"labels":[],"label_agreement":null},{"id":"W1617389014","doi":"10.1016/j.topol.2015.08.020","title":"Complex cobordism of quasitoric orbifolds","year":2015,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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 Regina","funders":"Pacific Institute for the Mathematical Sciences; University of Regina","keywords":"Orbifold; Mathematics; Cobordism; Disjoint sets; Boundary (topology); Pure mathematics; Ring (chemistry); Discrete mathematics; Mathematical analysis","score_opus":0.11443450366516274,"score_gpt":0.36125929224189934,"score_spread":0.24682478857673662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1617389014","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8218617,0.0036389388,0.079580344,0.009346392,0.00047423824,0.0013031793,0.000075741205,0.00026842,0.08345108],"genre_scores_gemma":[0.99571824,0.000035931815,0.0027453322,0.00008392316,0.00010005793,0.00006168148,0.0000082064325,0.0000068101226,0.0012398313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942076,0.00003672477,0.0002045167,0.00013944689,0.00006390317,0.00013466754],"domain_scores_gemma":[0.9992416,0.00028540776,0.00009740481,0.0001875079,0.00010025465,0.000087811706],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001630145,0.00007388626,0.0002017603,0.00009749315,0.00006943263,0.000002468645,0.00011961369,0.00010555972,0.0001510125],"category_scores_gemma":[0.00015218813,0.000065778804,0.000023397537,0.00027076228,0.0001612922,0.000026060132,0.000055348784,0.00007233979,0.000046188237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043721625,0.00008807522,0.00067306665,0.000017337587,0.000017245728,3.2609904e-7,0.00020723582,3.204183e-7,0.00015936841,0.9909814,0.0065822066,0.001269038],"study_design_scores_gemma":[0.0006300418,0.00014869937,0.0044680927,0.0000025933175,0.000061487386,0.000049402697,0.0008225625,0.000080421094,0.0005414102,0.89881045,0.09424003,0.00014479543],"about_ca_topic_score_codex":0.00002466496,"about_ca_topic_score_gemma":0.000007119754,"teacher_disagreement_score":0.17385656,"about_ca_system_score_codex":0.00000980526,"about_ca_system_score_gemma":0.00003522531,"threshold_uncertainty_score":0.2682382},"labels":[],"label_agreement":null},{"id":"W1633836536","doi":"10.1112/s0010437x16007314","title":"Double affine Hecke algebras and generalized Jones polynomials","year":2016,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Unknot; Bracket polynomial; Skein; Jones polynomial; Conjecture; Knot invariant; Skein relation; Quantum invariant; Affine transformation","score_opus":0.049434084586918316,"score_gpt":0.30693713063134354,"score_spread":0.2575030460444252,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1633836536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9591141,0.00038026017,0.01877887,0.0056919213,0.0001998207,0.0004919273,0.000019235402,0.00028494658,0.015038935],"genre_scores_gemma":[0.9399357,0.00006867696,0.047969293,0.00025454935,0.00023828665,0.00006954425,0.000004001489,0.000057196772,0.011402783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998424,0.000072886505,0.0005251766,0.00034139774,0.0002217823,0.0004147603],"domain_scores_gemma":[0.9980892,0.0009953197,0.0001906868,0.00048507744,0.00006877379,0.00017093761],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036143552,0.00026724715,0.00059481815,0.00020838525,0.00015366486,0.00005282792,0.00024695892,0.00012795605,0.0022532912],"category_scores_gemma":[0.00020791843,0.00017103096,0.00010495386,0.0002195666,0.0002262771,0.00012949081,0.00017402778,0.00007663665,0.0004453476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073464915,0.00023211498,0.00014899585,0.00017167456,0.00011465348,0.000017025905,0.00030208493,7.730239e-8,0.02355445,0.95690066,0.016470728,0.0020140589],"study_design_scores_gemma":[0.0040500425,0.00014681261,0.0003646045,0.00019080486,0.00013602992,0.00032322473,0.0000755394,0.00003397181,0.026427817,0.96378,0.00400367,0.00046750504],"about_ca_topic_score_codex":0.000009252707,"about_ca_topic_score_gemma":0.0000030379006,"teacher_disagreement_score":0.029190423,"about_ca_system_score_codex":0.00003656279,"about_ca_system_score_gemma":0.00002823109,"threshold_uncertainty_score":0.9986588},"labels":[],"label_agreement":null},{"id":"W1640056927","doi":"10.1142/s0129167x15500664","title":"Bi-invariant metrics and quasi-morphisms on groups of Hamiltonian diffeomorphisms of surfaces","year":2015,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Morphism; Mathematics; Sigma; Injective function; Pure mathematics; Invariant (physics); Combinatorics; Mathematical physics; Physics","score_opus":0.07139539820312268,"score_gpt":0.3267827574564429,"score_spread":0.25538735925332023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1640056927","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96936214,0.00086139946,0.02559851,0.00093476474,0.0019362512,0.0002609772,0.00021140203,0.000016174961,0.0008183514],"genre_scores_gemma":[0.9327088,0.00049702387,0.06625521,0.000038581064,0.0002559703,0.0000029645998,0.00000862045,0.00004936633,0.00018343396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953275,0.00014450887,0.0022858041,0.00024103082,0.001778564,0.00022262342],"domain_scores_gemma":[0.9901402,0.002380321,0.004926788,0.00044796916,0.0019288219,0.00017588858],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002421212,0.00038935454,0.001495736,0.0016771663,0.00002375918,0.000046465375,0.0012093312,0.00039611282,0.00010122363],"category_scores_gemma":[0.005166619,0.00030646473,0.00036737396,0.00032558668,0.0003003602,0.000088911875,0.00064125424,0.0007460917,0.000004638517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059717114,0.013003527,0.0051714936,0.0053985626,0.008650431,0.0008528546,0.017825648,0.0015679209,0.0024442615,0.9237741,0.013783899,0.0069301263],"study_design_scores_gemma":[0.001853062,0.00095762406,0.00081983703,0.00176822,0.0004997501,0.00069733366,0.001360508,0.0023854086,0.0026575243,0.9864009,0.00020374141,0.00039607318],"about_ca_topic_score_codex":0.00003630581,"about_ca_topic_score_gemma":0.000007886304,"teacher_disagreement_score":0.06262682,"about_ca_system_score_codex":0.00015719068,"about_ca_system_score_gemma":0.0003045973,"threshold_uncertainty_score":0.9999387},"labels":[],"label_agreement":null},{"id":"W1642109817","doi":"10.1093/imrn/rnx231","title":"An Upper Bound for the Volumes of Complements of Periodic Geodesics","year":2017,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Geodesic; Lift (data mining); Mathematics; Unit tangent bundle; Upper and lower bounds; Tangent; Bundle; Tangent bundle; Geometry; Mathematical analysis; Computer science; Tangent space","score_opus":0.3336976324615724,"score_gpt":0.5239367112226573,"score_spread":0.19023907876108487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1642109817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9182977,0.000829631,0.061752576,0.0035132454,0.0024799209,0.0034310082,0.001677233,0.000054174972,0.007964479],"genre_scores_gemma":[0.94611365,0.00011835666,0.051404808,0.00001061183,0.00028040606,0.00019474553,0.00006343963,0.000047175174,0.0017668232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99639726,0.00015810055,0.00096243934,0.0003736109,0.0017006921,0.00040789554],"domain_scores_gemma":[0.98920083,0.0060313777,0.0012599251,0.0013755048,0.0020514058,0.00008096761],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041844053,0.00024524532,0.0006483546,0.0005520883,0.0003276437,0.00026716283,0.003517567,0.00022648906,0.0004883327],"category_scores_gemma":[0.007231345,0.00017618584,0.00027711736,0.00010198937,0.0010909728,0.00013358088,0.0012485352,0.0005992301,0.000010088823],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013976752,0.002343992,0.0028880383,0.0069331606,0.0022868777,0.0000053955246,0.0083263805,0.0003546319,0.00038199234,0.96137077,0.007815198,0.0071538026],"study_design_scores_gemma":[0.0005095331,0.00019868932,0.001041539,0.0004918323,0.00013476967,0.0000033088666,0.002309448,0.05485276,0.0009459477,0.93689877,0.0024189271,0.00019447837],"about_ca_topic_score_codex":0.00027287783,"about_ca_topic_score_gemma":0.00008366576,"teacher_disagreement_score":0.054498132,"about_ca_system_score_codex":0.00008409832,"about_ca_system_score_gemma":0.00035218272,"threshold_uncertainty_score":0.86571175},"labels":[],"label_agreement":null},{"id":"W1643061581","doi":"10.1007/1-4020-4266-3_03","title":"HOMOTOPICAL DYNAMICS IN SYMPLECTIC TOPOLOGY","year":2005,"lang":"en","type":"book-chapter","venue":"Kluwer Academic Publishers eBooks","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symplectic geometry; Moduli space; Topology (electrical circuits); Pure mathematics; Symplectomorphism; Symplectic representation; Mathematics; Geometry and topology; Work (physics); Symplectic manifold; Physics; Combinatorics; Quantum mechanics","score_opus":0.03913056205769709,"score_gpt":0.2946477338549076,"score_spread":0.2555171717972105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1643061581","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0015253732,0.00049876893,0.00033928003,0.0026211594,0.0011853328,0.0006845266,0.000028705967,0.00027124994,0.9928456],"genre_scores_gemma":[0.024251757,0.000042248073,0.000932305,0.0013086036,0.001140102,0.00006344923,0.000056382556,0.00020320507,0.97200197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959353,0.00009153035,0.0013353,0.0010008065,0.00055732735,0.0010796856],"domain_scores_gemma":[0.99727833,0.0009506492,0.000531902,0.0008177763,0.00011655481,0.00030478672],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.0007357907,0.0007655228,0.0013179074,0.0015737603,0.000096819684,0.00010263033,0.0012280055,0.0036808578,0.002361972],"category_scores_gemma":[0.00092157436,0.0007722067,0.00033795944,0.00012468807,0.00060731557,0.00027597224,0.00046527537,0.0049614697,0.00017837937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017522601,0.000020191788,0.0002584143,0.00007120786,0.00009912074,0.000071154725,0.00018210878,3.237732e-7,9.2824047e-7,0.9360356,0.044209346,0.019034104],"study_design_scores_gemma":[0.0006390186,0.00006623628,0.000038653652,0.00008894876,0.00009798455,0.00017194862,0.00008364713,0.000061938095,0.0000025379059,0.71947235,0.278689,0.0005877317],"about_ca_topic_score_codex":0.00004552225,"about_ca_topic_score_gemma":0.00043661334,"teacher_disagreement_score":0.23447967,"about_ca_system_score_codex":0.0013302861,"about_ca_system_score_gemma":0.00037545795,"threshold_uncertainty_score":0.9994729},"labels":[],"label_agreement":null},{"id":"W1646519862","doi":"10.1201/b10617-22","title":"Computing Arithmetic Invariants for Hyperbolic Reflection Groups","year":2009,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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":"Commensurability (mathematics); Invariant (physics); Mathematics; Quaternion; Pure mathematics; Polyhedron; Isomorphism (crystallography); Quaternion algebra; Algebra over a field; Division algebra; Combinatorics; Algebra representation; Geometry","score_opus":0.08901166959613654,"score_gpt":0.3252158875398505,"score_spread":0.23620421794371393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1646519862","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00017074602,0.0001770053,0.072534025,0.00038583917,0.00054189767,0.00065860135,0.000008966503,0.000257991,0.92526495],"genre_scores_gemma":[0.014078469,0.000046110603,0.052354924,0.00065118435,0.000912492,0.000007197509,0.000034568457,0.00009641999,0.9318186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985444,0.000014713545,0.00049839594,0.0004179257,0.00019001409,0.00033454498],"domain_scores_gemma":[0.99852645,0.0006489979,0.00029796018,0.00033349622,0.00011206924,0.00008100003],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003212538,0.0003330262,0.00062890525,0.00045759586,0.00013725708,0.00003151789,0.00019584729,0.0005392732,0.0005570568],"category_scores_gemma":[0.0003068703,0.0003014167,0.00021648683,0.00008039016,0.000053089592,0.00003561996,0.00006184544,0.00032542643,0.00012443887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000082643965,0.000028024404,0.0000011806843,0.000074057934,0.00006498228,0.000004743415,0.00004123825,5.105638e-7,0.0000063540847,0.94398165,0.0073636337,0.04842539],"study_design_scores_gemma":[0.00042593764,0.00021348991,0.00001978582,0.0000678577,0.00013477971,0.00007637112,0.000013308723,0.0001585083,0.000019413823,0.92357606,0.07497448,0.00032001975],"about_ca_topic_score_codex":0.000009497113,"about_ca_topic_score_gemma":0.000020448291,"teacher_disagreement_score":0.06761084,"about_ca_system_score_codex":0.000079251586,"about_ca_system_score_gemma":0.00005128168,"threshold_uncertainty_score":0.9999438},"labels":[],"label_agreement":null},{"id":"W1652747311","doi":"10.1142/s1793525317500042","title":"Balanced presentations of the trivial group and four-dimensional geometry","year":2016,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Group (periodic table); Codimension; Isometry (Riemannian geometry); Manifold (fluid mechanics); Pure mathematics; Physics","score_opus":0.024283111147881536,"score_gpt":0.2930326555189804,"score_spread":0.2687495443710989,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1652747311","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98861665,0.000303316,0.007309306,0.0035200901,0.00012032681,0.000028233484,0.0000064142964,0.0000021237342,0.000093515],"genre_scores_gemma":[0.99772406,0.00009175906,0.0014522993,0.000069636466,0.00006895962,5.2402817e-7,2.3002208e-7,0.0000029388218,0.00058957725],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9991566,0.0001283262,0.0003782448,0.0000861575,0.0001399257,0.000110731955],"domain_scores_gemma":[0.9982197,0.0010851509,0.0004442323,0.000113148955,0.000085082705,0.00005267362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040076478,0.00006940847,0.00037917972,0.00043407342,0.00007990451,0.000003937435,0.00011028423,0.00008068103,0.00024755058],"category_scores_gemma":[0.0006808328,0.00003324154,0.00019335607,0.0005564997,0.0003412201,0.000060075137,0.0000646397,0.000097336844,3.7909697e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011878682,0.00018084743,0.90494645,0.00002637922,0.0030753189,0.000017091334,0.00022653438,0.00001143565,0.0029786224,0.07986269,0.002297951,0.006257869],"study_design_scores_gemma":[0.0019495613,0.0002485616,0.80053455,0.000020799249,0.002784848,0.00031004514,0.00030079222,0.000083588304,0.0007379785,0.19245896,0.00044970674,0.00012059924],"about_ca_topic_score_codex":0.000010641529,"about_ca_topic_score_gemma":0.000017215267,"teacher_disagreement_score":0.11259626,"about_ca_system_score_codex":0.000005162994,"about_ca_system_score_gemma":0.000020450982,"threshold_uncertainty_score":0.2710505},"labels":[],"label_agreement":null},{"id":"W1656744044","doi":"10.4153/cmb-2016-097-x","title":"Twisted Alexander Invariants Detect Trivial Links","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Unknot; Mathematics; Knot (papermaking); Alexander polynomial; Pure mathematics; Trefoil knot; Trefoil; Combinatorics; Knot theory; Algebra over a field","score_opus":0.038874838928268395,"score_gpt":0.26373831676161674,"score_spread":0.22486347783334834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1656744044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43601364,0.00025189226,0.102713324,0.073442936,0.0006746954,0.0020188293,0.0001045043,0.0007136646,0.38406652],"genre_scores_gemma":[0.95625603,0.0000070719525,0.0053269383,0.0014391387,0.0002495881,0.00004729623,0.00000227325,0.00006465368,0.036607027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783355,0.00012792129,0.0005321112,0.00038843192,0.00026986594,0.0008481482],"domain_scores_gemma":[0.99659514,0.0017708823,0.00011119422,0.0005474292,0.000086012384,0.00088933145],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006041286,0.0002729003,0.00048667367,0.000367304,0.00013588688,0.000040470844,0.00040292327,0.00048705662,0.10713487],"category_scores_gemma":[0.0056122844,0.00018217987,0.00014760376,0.00032467555,0.00023330338,0.0000322423,0.00006177769,0.00031099035,0.02203481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028503595,0.00011336597,0.00017894852,0.00014651424,0.00012516753,0.00026496983,0.00021902447,9.516639e-8,0.00022653259,0.5772404,0.40381297,0.01764351],"study_design_scores_gemma":[0.0015566483,0.00011749542,0.00042480248,0.000158074,0.000067740926,0.0001772944,0.00006312194,0.000015906164,0.00045661163,0.78703076,0.20943245,0.00049909664],"about_ca_topic_score_codex":0.00035925192,"about_ca_topic_score_gemma":0.00120701,"teacher_disagreement_score":0.5202424,"about_ca_system_score_codex":0.00019406248,"about_ca_system_score_gemma":0.00026574617,"threshold_uncertainty_score":0.9787266},"labels":[],"label_agreement":null},{"id":"W1660287306","doi":"10.1007/978-1-4020-9927-4_2","title":"Lattice Polygons and Related Objects","year":2009,"lang":"en","type":"book-chapter","venue":"Lecture notes in physics","topic":"Geometric and Algebraic Topology","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":"Ising model; Polygon (computer graphics); Lattice (music); Combinatorics; Monte Carlo method; Perimeter; Regular polygon; Exponential function; Physics; Constraint (computer-aided design); Statistical physics; Mathematics; Geometry; Mathematical analysis; Computer science; Statistics","score_opus":0.021819104850812093,"score_gpt":0.2645957287527358,"score_spread":0.2427766239019237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1660287306","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0018109411,0.0048723067,0.0063668108,0.0010352719,0.00063004263,0.0006917683,0.000039768805,0.00027996895,0.98427314],"genre_scores_gemma":[0.8131172,0.0007519505,0.015518772,0.0016537245,0.0016633249,0.000012036517,0.000102711536,0.00034882326,0.16683145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987317,0.000024003506,0.0003322432,0.0004061896,0.00019282648,0.0003130764],"domain_scores_gemma":[0.9983092,0.0009495403,0.00022033113,0.00040937864,0.00004344263,0.00006812319],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000102784456,0.00039970106,0.00061585306,0.00018790802,0.00005772289,0.000020090623,0.0001619188,0.0007131034,0.00017033509],"category_scores_gemma":[0.00041221423,0.00036964988,0.00011663237,0.0001620532,0.00014006117,0.000038637558,0.00007848884,0.0010068613,0.000050331975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010872596,0.00005153159,0.000018291003,0.00010594008,0.00008121543,0.00008263214,0.0007622527,0.000019043526,0.000018469022,0.8147347,0.00022186061,0.18389317],"study_design_scores_gemma":[0.000322086,0.000085056025,0.000035540535,0.0001392445,0.00012464257,0.000043291322,0.0000025867855,0.00003635037,0.00011178408,0.99538547,0.0033532965,0.0003606652],"about_ca_topic_score_codex":0.000009557305,"about_ca_topic_score_gemma":0.000028804448,"teacher_disagreement_score":0.81744164,"about_ca_system_score_codex":0.000054088025,"about_ca_system_score_gemma":0.000056733228,"threshold_uncertainty_score":0.99987555},"labels":[],"label_agreement":null},{"id":"W1661413222","doi":"10.1090/s0002-9939-05-08348-6","title":"On homeomorphisms and quasi-isometries of the real line","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Calgary","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Computer science; Mathematics; Biology; Paleontology","score_opus":0.01773275285069432,"score_gpt":0.2680238853659927,"score_spread":0.2502911325152984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1661413222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98504454,0.00020564336,0.00022884808,0.009592803,0.00008342183,0.00058808236,0.00004109229,0.000038018334,0.004177532],"genre_scores_gemma":[0.98421,0.00048940105,0.0127042,0.0005525542,0.00016253165,0.000016162268,2.889674e-7,0.000052337877,0.0018125229],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970496,0.000037660036,0.0010423166,0.000410548,0.0009133381,0.00054650457],"domain_scores_gemma":[0.99519384,0.0019418035,0.0019663828,0.00043622227,0.00031703303,0.00014470641],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0010780699,0.0004172651,0.0012942821,0.000096081654,0.00026521547,0.000042927415,0.0010427986,0.00018099508,0.0001387071],"category_scores_gemma":[0.0032843114,0.00023141823,0.0007754595,0.0022009087,0.0043804036,0.00010036338,0.000798131,0.00060505077,0.000017751021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000112589114,0.0024631892,0.005832743,0.0026918699,0.000655865,1.579249e-7,0.011226894,0.0000038054466,0.0032237088,0.9554594,0.01206209,0.0062676626],"study_design_scores_gemma":[0.0016566527,0.0020150666,0.0132489875,0.0011928561,0.0011286836,0.000050970582,0.018569162,0.0027487227,0.026073143,0.9319023,0.00063514564,0.00077833864],"about_ca_topic_score_codex":0.0000445282,"about_ca_topic_score_gemma":0.0000012313235,"teacher_disagreement_score":0.023557154,"about_ca_system_score_codex":0.000099497935,"about_ca_system_score_gemma":0.00007178603,"threshold_uncertainty_score":0.9983291},"labels":[],"label_agreement":null},{"id":"W1664104325","doi":"10.4310/jsg.2017.v15.n4.a7","title":"The Hofer norm of a contactomorphism","year":2017,"lang":"en","type":"preprint","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Conjecture; Norm (philosophy); Degenerate energy levels; Metric (unit); Combinatorics; Mathematical physics; Physics; Quantum mechanics","score_opus":0.06741218295606136,"score_gpt":0.3501088867936808,"score_spread":0.28269670383761947,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1664104325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9768336,0.0052041984,0.0045481906,0.0025653592,0.0050460426,0.00036309368,0.00002573065,0.00001703908,0.0053967475],"genre_scores_gemma":[0.9954569,0.0008060303,0.0012917512,0.00004985771,0.0006643895,0.000005227375,0.0000011846266,0.00003845718,0.0016862382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967515,0.0001682915,0.0015577537,0.00022878827,0.0008425461,0.00045113123],"domain_scores_gemma":[0.98919535,0.003311927,0.0052009625,0.0010964592,0.0010251498,0.00017013056],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0026894372,0.00034139154,0.0013115414,0.0009367905,0.00030580824,0.0001257851,0.0016485953,0.0004903912,0.00025965075],"category_scores_gemma":[0.010580929,0.00021656725,0.000699107,0.00035283537,0.00035661846,0.00008958922,0.0006826396,0.0017746828,0.000015639755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018202483,0.0038685836,0.09085408,0.007551433,0.019512722,0.0015611943,0.0064047133,0.00010504777,0.0015613611,0.5201539,0.23897341,0.107633315],"study_design_scores_gemma":[0.0014570806,0.0005738702,0.015931085,0.00055143476,0.00076816557,0.0011128992,0.00048346972,0.00001963144,0.0005712629,0.9695362,0.0086143715,0.00038056026],"about_ca_topic_score_codex":0.000052945976,"about_ca_topic_score_gemma":0.000025544177,"teacher_disagreement_score":0.44938228,"about_ca_system_score_codex":0.00015727719,"about_ca_system_score_gemma":0.00070157496,"threshold_uncertainty_score":0.9977534},"labels":[],"label_agreement":null},{"id":"W1680138117","doi":"10.5802/aif.2820","title":"Regenerating hyperbolic cone 3-manifolds from dimension 2","year":2013,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Institució Catalana de Recerca i Estudis Avançats","keywords":"Orbifold; Polygon (computer graphics); Cone (formal languages); Dimension (graph theory); Mathematics; Perimeter; Pure mathematics; Hyperbolic manifold; Hyperbolic triangle; Mathematical analysis; Geometry; Hyperbolic function; Computer science","score_opus":0.05216096578547215,"score_gpt":0.29398080820646094,"score_spread":0.2418198424209888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1680138117","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97803324,0.006193032,0.0034834922,0.001399208,0.0016164308,0.0005788761,0.000105719286,0.0002817996,0.008308198],"genre_scores_gemma":[0.9260593,0.0005707639,0.065748036,0.0011556367,0.0018899711,0.00014329854,0.0002460236,0.00010516032,0.004081785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99717796,0.0001751866,0.00071898854,0.0008055265,0.00042397654,0.00069839123],"domain_scores_gemma":[0.9973794,0.00049656845,0.00047046613,0.0011654607,0.00021598097,0.00027211127],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003983568,0.00057051,0.0008911434,0.00030058596,0.00026134984,0.00015046874,0.00058778946,0.0008977482,0.0013655808],"category_scores_gemma":[0.0010572851,0.0005267017,0.00030543658,0.00021529492,0.00025056233,0.00012627358,0.0009796002,0.0010103988,0.00060988765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006983038,0.00082184776,0.006812132,0.0008086653,0.0018785659,0.00063425524,0.004766828,0.0015096702,0.0015589911,0.64939207,0.2912394,0.040507738],"study_design_scores_gemma":[0.001840944,0.0001689619,0.0033155445,0.0011248604,0.000997236,0.00018301279,0.00044154457,0.00773313,0.0053651873,0.82787806,0.1484869,0.002464623],"about_ca_topic_score_codex":0.0009978728,"about_ca_topic_score_gemma":0.000119224605,"teacher_disagreement_score":0.17848597,"about_ca_system_score_codex":0.00011143092,"about_ca_system_score_gemma":0.00031351618,"threshold_uncertainty_score":0.9997184},"labels":[],"label_agreement":null},{"id":"W1706764540","doi":"10.1007/s11005-017-0936-0","title":"Toward $$\\mathrm {U}(N|M)$$ U ( N | M ) knot invariant from ABJM theory","year":2017,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Unknot; Knot (papermaking); Torus; Invariant (physics); Character (mathematics); Symplectic geometry","score_opus":0.07758283040077384,"score_gpt":0.3143674629459855,"score_spread":0.23678463254521165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1706764540","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.586014,0.000044144796,0.38183445,0.00953354,0.0005127154,0.0005284114,0.000033049877,0.00018719197,0.021312498],"genre_scores_gemma":[0.9570731,0.000005456848,0.040019713,0.00197495,0.00054261164,0.00004412581,0.0000067133774,0.000062996776,0.00027035174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784976,0.0001492851,0.00057712913,0.0004587592,0.00040089022,0.000564148],"domain_scores_gemma":[0.9958436,0.0021988961,0.00035066326,0.0014521579,0.000030167252,0.00012449737],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006934794,0.00033298135,0.0007155748,0.000089198926,0.00022456203,0.00016290249,0.001085438,0.00017588754,0.00058743515],"category_scores_gemma":[0.0021888374,0.00028120165,0.00018638965,0.00014675951,0.00047512545,0.00025134493,0.00040085276,0.0005117891,0.00055734586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020644391,0.00035157983,0.00043135384,0.00013581011,0.00007165971,0.00010609319,0.0012855637,0.000002721885,0.0007599179,0.9910578,0.0025710086,0.0032058535],"study_design_scores_gemma":[0.00072025025,0.000022348535,0.0012938592,0.00012852128,0.00005776523,0.0000075666926,0.00014487874,0.0003786285,0.0008924279,0.99587923,0.00014584891,0.00032868882],"about_ca_topic_score_codex":0.000043536544,"about_ca_topic_score_gemma":0.0000051770917,"teacher_disagreement_score":0.3710591,"about_ca_system_score_codex":0.000067019544,"about_ca_system_score_gemma":0.00002805936,"threshold_uncertainty_score":0.999964},"labels":[],"label_agreement":null},{"id":"W1709354625","doi":"10.4171/ggd/360","title":"Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries","year":2016,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Simplicial complex; Pure mathematics; Simplicial homology; Combinatorics","score_opus":0.016020407671686613,"score_gpt":0.25942159191424097,"score_spread":0.24340118424255436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1709354625","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9502505,0.00050183345,0.045417417,0.0016941888,0.0003192973,0.00019554392,0.00007678744,0.00015188375,0.0013925512],"genre_scores_gemma":[0.9967263,0.00020474901,0.001349683,0.00021821137,0.0001639271,0.000009980446,0.000013928342,0.000035234865,0.0012780147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983477,0.000090864756,0.00039201233,0.00045621497,0.00022856965,0.00048466644],"domain_scores_gemma":[0.9980337,0.0012233001,0.00017763335,0.00029669274,0.00009243017,0.0001762396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004477037,0.0003006985,0.0004950564,0.00037910976,0.00050485024,0.00012319989,0.00016430038,0.00035421163,0.00010365045],"category_scores_gemma":[0.0010249479,0.00021128317,0.000067764515,0.00072102604,0.0009923724,0.0003545825,0.00031399005,0.00026566887,0.00002092504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051844752,0.00007288959,0.024586989,0.000063980435,0.000092048715,0.000013989435,0.00044141873,1.7215659e-7,0.00009630396,0.9579953,0.00021290456,0.016372193],"study_design_scores_gemma":[0.0012474117,0.00021623253,0.029543152,0.0000511511,0.000108726636,0.00022025911,0.0004856074,0.00048049365,0.000041245523,0.9659004,0.0012692213,0.00043609773],"about_ca_topic_score_codex":0.00007140804,"about_ca_topic_score_gemma":0.00014735057,"teacher_disagreement_score":0.046475776,"about_ca_system_score_codex":0.00006854402,"about_ca_system_score_gemma":0.000046409365,"threshold_uncertainty_score":0.86158776},"labels":[],"label_agreement":null},{"id":"W1731851992","doi":"10.1090/s0002-9947-01-02857-4","title":"Dynamics of implicit operations and tameness of pseudovarieties of groups","year":2001,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":39,"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":"Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Universidade do Porto","keywords":"Annotation; Algorithm; Type (biology); Computer science; Semantics (computer science); Artificial intelligence; Mathematics; Programming language; Biology","score_opus":0.017464589606008836,"score_gpt":0.28096199290290413,"score_spread":0.2634974032968953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1731851992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63990813,0.000016587563,0.3591968,0.0004804955,0.000013357501,0.00012869103,0.00003665379,0.000008742109,0.0002105201],"genre_scores_gemma":[0.9642417,0.00009072613,0.035459362,0.000018150145,0.000005046429,0.000009514932,7.605268e-7,0.000012652563,0.00016211445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988789,0.000054737488,0.00058818795,0.000114752744,0.00022161439,0.00014183634],"domain_scores_gemma":[0.99841607,0.0006789669,0.00035227305,0.0003797462,0.0001356124,0.000037325986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025719937,0.000116674695,0.0006121119,0.00004945419,0.00007009417,0.0000029254486,0.00023967153,0.000056660676,0.00013542347],"category_scores_gemma":[0.0001221812,0.000082759085,0.00031313836,0.00072953664,0.001566074,0.00004596172,0.000028191513,0.00011688905,3.663823e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007145655,0.0021186639,0.0028819442,0.0019244918,0.00092693855,2.5250512e-7,0.008844275,0.0008547607,0.015262289,0.9621677,0.00010265765,0.0048445784],"study_design_scores_gemma":[0.0009231257,0.0005897495,0.0060493904,0.00017856175,0.00083794293,0.00007032126,0.026509773,0.01507217,0.015685393,0.93376774,0.000008883559,0.0003069445],"about_ca_topic_score_codex":0.00018817205,"about_ca_topic_score_gemma":0.000022375107,"teacher_disagreement_score":0.32433355,"about_ca_system_score_codex":0.000020276428,"about_ca_system_score_gemma":0.000038675782,"threshold_uncertainty_score":0.5770265},"labels":[],"label_agreement":null},{"id":"W1750665474","doi":"10.1090/s0002-9947-08-04590-x","title":"Torsion in coinvariants of certain Cantor minimal ℤ²-systems","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Japan Society for the Promotion of Science; University of Victoria","keywords":"Mathematics; Skew; Torsion (gastropod); Degenerate energy levels; Abelian group; Pure mathematics; Combinatorics; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.03831972508828781,"score_gpt":0.2855478175325446,"score_spread":0.2472280924442568,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1750665474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9391275,0.00003615051,0.05954883,0.00031283294,0.00007962652,0.00028275477,0.000025566229,0.000024878627,0.00056186086],"genre_scores_gemma":[0.98223215,0.000041247087,0.01702948,0.00003004639,0.00001710888,0.000018077266,3.8178683e-7,0.00001739197,0.00061410683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984918,0.00012633465,0.0006249844,0.00016521424,0.00033319864,0.000258433],"domain_scores_gemma":[0.9982598,0.000816904,0.00039049683,0.00040603188,0.00006284834,0.00006395676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033899414,0.00014581351,0.0006313585,0.000064861815,0.00009728442,0.00000280399,0.00032217533,0.0000727921,0.00017492204],"category_scores_gemma":[0.00020357908,0.00010115955,0.0003759041,0.000927507,0.0009095133,0.000045827288,0.000020288337,0.00020341387,0.000005892724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013230611,0.03273954,0.05921944,0.012603501,0.004660962,0.00006831381,0.15215062,0.003413192,0.07200239,0.61026746,0.038357496,0.013194023],"study_design_scores_gemma":[0.015831536,0.0051362673,0.14483294,0.0027266582,0.0023933284,0.0018343407,0.13458115,0.084770456,0.060005367,0.5410555,0.0022713693,0.0045610806],"about_ca_topic_score_codex":0.0006764796,"about_ca_topic_score_gemma":0.000014443988,"teacher_disagreement_score":0.085613504,"about_ca_system_score_codex":0.000063160594,"about_ca_system_score_gemma":0.00008733864,"threshold_uncertainty_score":0.41251668},"labels":[],"label_agreement":null},{"id":"W175543934","doi":"10.4171/ggd/369","title":"A subgroup theorem for homological filling functions","year":2016,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Bounded function; Group (periodic table); Pure mathematics; Combinatorics; Mathematical analysis; Physics","score_opus":0.033832195135468715,"score_gpt":0.2844391220241867,"score_spread":0.250606926888718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W175543934","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32499668,0.0005349217,0.6682495,0.00067606714,0.0012541617,0.0006061254,0.0008003926,0.00021425694,0.0026679314],"genre_scores_gemma":[0.9822445,0.00018117137,0.012282853,0.00014354414,0.0006523637,0.00021807474,0.0003176233,0.000067797475,0.0038920885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976895,0.00009290156,0.00056588976,0.00080917095,0.00021168675,0.0006308544],"domain_scores_gemma":[0.99601537,0.0026835757,0.00034368984,0.00062989304,0.00014186047,0.00018564088],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008435591,0.00047060402,0.0008030794,0.00059940777,0.00031157982,0.0000832106,0.0003793828,0.0009811847,0.00020413254],"category_scores_gemma":[0.0014794089,0.00034826936,0.00034358422,0.0003879162,0.00033565596,0.0000645549,0.0007802653,0.00067474967,0.000019568022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006573708,0.00015484502,0.0024871896,0.0004784919,0.00019252827,0.000011069755,0.00008328465,0.0000122695765,0.000004943529,0.9815756,0.0010247676,0.013909252],"study_design_scores_gemma":[0.0006779046,0.00019442567,0.0008748237,0.00009066187,0.00019783016,0.00007342727,0.00030201973,0.004337577,0.0000034790992,0.99182093,0.00093144353,0.00049545267],"about_ca_topic_score_codex":0.0000075568537,"about_ca_topic_score_gemma":0.000020063373,"teacher_disagreement_score":0.6572478,"about_ca_system_score_codex":0.00012758865,"about_ca_system_score_gemma":0.0000573805,"threshold_uncertainty_score":0.99989694},"labels":[],"label_agreement":null},{"id":"W1778850961","doi":"10.1142/s1793525317500182","title":"Balanced finite presentations of the trivial group","year":2016,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Sequence (biology); Generator (circuit theory); Tower; Group (periodic table); Construct (python library); Finite group; Class (philosophy)","score_opus":0.02289032834165522,"score_gpt":0.30314383175097775,"score_spread":0.28025350340932254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1778850961","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.943944,0.00018731927,0.049740996,0.0054239677,0.00018333658,0.00003179646,0.000007182118,0.0000028552647,0.00047854194],"genre_scores_gemma":[0.99780226,0.000096447344,0.00093054504,0.00005550432,0.00007319267,5.5028954e-7,1.8450805e-7,0.000002426394,0.0010389045],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99921894,0.00013528172,0.00037857745,0.00006278734,0.00010710145,0.00009731259],"domain_scores_gemma":[0.9980747,0.0011862849,0.0004898335,0.00012798146,0.00008559443,0.000035606416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032445465,0.000055913384,0.0003370329,0.00031467382,0.0000574693,0.00000294048,0.00015228128,0.00006625661,0.00034795186],"category_scores_gemma":[0.000988112,0.000025583533,0.0002656457,0.0005606218,0.00024378391,0.000049617047,0.000039409242,0.00008133809,8.544654e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010289787,0.00023680592,0.82478184,0.000022560082,0.0035131336,0.00001239816,0.00054538687,0.00001825395,0.0017950234,0.1590167,0.0031304245,0.006824561],"study_design_scores_gemma":[0.00221427,0.00030725548,0.52702516,0.000023247352,0.004276963,0.000095663214,0.0006338267,0.00008727448,0.0014240197,0.462087,0.0016838969,0.00014141007],"about_ca_topic_score_codex":0.000009098309,"about_ca_topic_score_gemma":0.000022438624,"teacher_disagreement_score":0.3030703,"about_ca_system_score_codex":0.0000045912216,"about_ca_system_score_gemma":0.000018717768,"threshold_uncertainty_score":0.38098288},"labels":[],"label_agreement":null},{"id":"W1786827846","doi":"10.1016/j.aim.2017.01.026","title":"Foliations, orders, representations, L-spaces and graph manifolds","year":2017,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Floer homology; Fibered knot; Mathematics; Homology (biology); Heegaard splitting; Pure mathematics; Graph; Manifold (fluid mechanics); Combinatorics","score_opus":0.03991261454176429,"score_gpt":0.36930288099473363,"score_spread":0.3293902664529693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1786827846","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52438706,0.11187873,0.18464422,0.0075868163,0.0059155114,0.006709649,0.00037874602,0.0011210772,0.15737818],"genre_scores_gemma":[0.41185933,0.025849732,0.5573866,0.0000822191,0.00027976008,0.00039697727,0.00006409306,0.0001354746,0.0039458014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978174,0.00008451562,0.0007761062,0.0005824897,0.00035610847,0.0003833872],"domain_scores_gemma":[0.99625885,0.0012807644,0.000981936,0.0012893179,0.000104236366,0.000084862506],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006351694,0.00039980875,0.00080701103,0.00055202295,0.00022205143,0.00017644707,0.0006542826,0.00037273602,0.00009617323],"category_scores_gemma":[0.0028069008,0.00037805465,0.000121700665,0.00021508365,0.000289039,0.00029512434,0.0007662394,0.00058413745,0.000016850365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055703067,0.00027647617,0.005680983,0.002428177,0.00008713601,0.00004106334,0.002467623,0.0000736716,0.0000014538844,0.9831689,0.0015364093,0.004232526],"study_design_scores_gemma":[0.00037038323,0.00002068128,0.0011284698,0.0004098493,0.0000946672,0.00002713907,0.0011674026,0.00034040838,0.0000126714685,0.99314886,0.00290812,0.00037135996],"about_ca_topic_score_codex":0.000057844154,"about_ca_topic_score_gemma":0.0003380495,"teacher_disagreement_score":0.37274238,"about_ca_system_score_codex":0.000050494225,"about_ca_system_score_gemma":0.00007692242,"threshold_uncertainty_score":0.99986714},"labels":[],"label_agreement":null},{"id":"W1791975294","doi":"10.1090/conm/620/12363","title":"More examples of discrete co-compact group actions","year":2014,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Group (periodic table); Discrete group; Pure mathematics; Algebra over a field; Physics; Quantum mechanics","score_opus":0.07312337154063664,"score_gpt":0.34993582662323697,"score_spread":0.27681245508260033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1791975294","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0012048887,0.0005625472,0.21569888,0.000651502,0.00022214047,0.001987225,0.00057191314,0.0011663479,0.77793455],"genre_scores_gemma":[0.1172045,0.00039663122,0.43101227,0.0007177904,0.0013071446,0.0003219034,0.00048283883,0.0037429058,0.44481403],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.994822,0.00025440083,0.0019912622,0.00089441054,0.001149383,0.00088853016],"domain_scores_gemma":[0.99047333,0.0036988521,0.0032495155,0.0020000376,0.000110846035,0.0004674454],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011238316,0.0011924973,0.0037862125,0.00041564982,0.0001643529,0.00006657071,0.0011668295,0.00066755497,0.00464849],"category_scores_gemma":[0.001295765,0.0009681507,0.0015372011,0.0009920725,0.0028890928,0.00010156041,0.00023848697,0.0008556751,0.00036980538],"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":[0.000009909354,0.0010163632,0.000085132975,0.0045362236,0.0011675188,0.000006857973,0.0020098963,3.5265015e-7,0.00007710594,0.21664461,0.7741893,0.0002567172],"study_design_scores_gemma":[0.0022228837,0.0008451394,0.00008215141,0.0032343061,0.0011887243,0.000116923446,0.016146937,0.0014957507,0.00021578696,0.61107475,0.36029997,0.0030766812],"about_ca_topic_score_codex":0.00015797172,"about_ca_topic_score_gemma":0.000007465603,"teacher_disagreement_score":0.41388932,"about_ca_system_score_codex":0.00011404482,"about_ca_system_score_gemma":0.00019357292,"threshold_uncertainty_score":0.99982446},"labels":[],"label_agreement":null},{"id":"W1794496119","doi":"10.1090/s0002-9939-05-07831-7","title":"Seiberg-Witten invariants and branched covers along tori","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Torus; Pure mathematics; Mathematics; Geometry","score_opus":0.017832513967393444,"score_gpt":0.26913574937124896,"score_spread":0.2513032354038555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1794496119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9886369,0.000038180508,0.0006887212,0.004735394,0.000032269018,0.00026220395,0.0000044766625,0.00007031224,0.005531548],"genre_scores_gemma":[0.9415049,0.000033092023,0.056741696,0.00085367536,0.000118762015,0.000014944389,1.9656761e-7,0.000027819759,0.00070491346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854565,0.0000110737765,0.00043691497,0.0002702587,0.00037090588,0.00036521317],"domain_scores_gemma":[0.9985491,0.0005366033,0.000510332,0.00016541101,0.00011728278,0.00012127934],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054425583,0.00020676511,0.0005693514,0.00003332477,0.00013261642,0.00003382445,0.00040395505,0.00007699304,0.000087068256],"category_scores_gemma":[0.0011416568,0.00013838623,0.00024851065,0.0006193004,0.000825811,0.00014773251,0.00030211103,0.00023584045,0.000014198213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006926266,0.000813784,0.022234004,0.0011033851,0.00069852686,6.178391e-7,0.013364274,0.0000019715312,0.011939255,0.8810379,0.058279857,0.010457197],"study_design_scores_gemma":[0.0010888568,0.00018356311,0.012221485,0.00014447818,0.00029093187,0.00008358101,0.0071486924,0.0012223981,0.00617479,0.96909267,0.0018406259,0.00050794915],"about_ca_topic_score_codex":0.000019385832,"about_ca_topic_score_gemma":8.1295684e-7,"teacher_disagreement_score":0.08805478,"about_ca_system_score_codex":0.00005936028,"about_ca_system_score_gemma":0.00002648124,"threshold_uncertainty_score":0.56432265},"labels":[],"label_agreement":null},{"id":"W1810220960","doi":"10.1090/tran/6829","title":"Quadratic equations in hyperbolic groups are NP-complete","year":2015,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Engineering and Physical Sciences Research Council; National Science Foundation","keywords":"Mathematics; Quadratic equation; Bounded function; Constant (computer programming); Torsion (gastropod); Upper and lower bounds; Variable (mathematics); Mathematical analysis; Combinatorics; Geometry","score_opus":0.08095551249230226,"score_gpt":0.3236176047566527,"score_spread":0.24266209226435043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1810220960","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4616481,0.00013229693,0.53009015,0.0050642528,0.0002966746,0.0011600959,0.00020513164,0.00016004803,0.0012432293],"genre_scores_gemma":[0.9580084,0.000038602004,0.040977374,0.00022173436,0.00006301669,0.00017153233,0.000005107873,0.000060567705,0.00045363314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99712914,0.0003106717,0.0010417716,0.00044321033,0.00060989766,0.0004652932],"domain_scores_gemma":[0.9954108,0.0019511149,0.0010475587,0.0012762243,0.00016957372,0.00014470889],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008626517,0.0004080079,0.0014025146,0.00014909497,0.00014467663,0.000029516517,0.0009797327,0.00023946191,0.00027027758],"category_scores_gemma":[0.00085537636,0.00030365775,0.0010153746,0.0012511323,0.0011845197,0.00005489136,0.00017863703,0.0012103252,0.00004246439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027829784,0.02234042,0.00477785,0.020338096,0.007339843,0.000026324406,0.088714704,0.025480652,0.001727459,0.7784865,0.03523983,0.015250032],"study_design_scores_gemma":[0.00042882565,0.000067698325,0.0009490169,0.0002621945,0.00040267245,0.000015775273,0.004332522,0.00984564,0.00004329615,0.9831949,0.000068380294,0.00038911588],"about_ca_topic_score_codex":0.00030422056,"about_ca_topic_score_gemma":0.00007943319,"teacher_disagreement_score":0.49636033,"about_ca_system_score_codex":0.00024617196,"about_ca_system_score_gemma":0.00022670576,"threshold_uncertainty_score":0.9999415},"labels":[],"label_agreement":null},{"id":"W1819257459","doi":"10.1090/pspum/073/2131016","title":"Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism","year":2005,"lang":"en","type":"other","venue":"Proceedings of symposia in pure mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":60,"is_retracted":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":"College of Computing; National Science Foundation","keywords":"Homomorphism; Mathematics; Algebra homomorphism; Homology (biology); Pure mathematics; Homogeneous space; Algebra over a field; Combinatorics; Geometry","score_opus":0.03212161311517713,"score_gpt":0.250389258601625,"score_spread":0.21826764548644784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1819257459","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024550835,0.010834297,0.00072796346,0.0038315603,0.00047830984,0.0059893364,0.00017792036,0.00030119225,0.9531086],"genre_scores_gemma":[0.21186225,0.007610426,0.40233105,0.0001830273,0.0017985475,0.00062396686,0.000027549355,0.0025262255,0.37303695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997119,0.000018586356,0.001261363,0.0005057506,0.0006412514,0.00045402648],"domain_scores_gemma":[0.99677086,0.0005181804,0.0019862412,0.00039536555,0.00025290344,0.00007647263],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013597826,0.00057936594,0.0017370512,0.0009249764,0.0000422364,0.000040855935,0.00080586394,0.00063416816,0.00033685827],"category_scores_gemma":[0.0015351408,0.00040426612,0.0001429641,0.0009101525,0.000660533,0.000096962336,0.0003162466,0.00047145717,0.00001164591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000380258,0.0005343608,0.00027422517,0.007064929,0.00027159174,0.0000039434763,0.0019923528,7.1331726e-8,0.00032441958,0.9077021,0.08076891,0.0010250518],"study_design_scores_gemma":[0.0079067815,0.00038389815,0.0004562073,0.006981883,0.0014234617,0.00045920146,0.0023165052,0.0003766808,0.0029700808,0.9507126,0.02446673,0.0015459416],"about_ca_topic_score_codex":0.00007652479,"about_ca_topic_score_gemma":0.00010848824,"teacher_disagreement_score":0.5800716,"about_ca_system_score_codex":0.000035189634,"about_ca_system_score_gemma":0.0000801783,"threshold_uncertainty_score":0.9998409},"labels":[],"label_agreement":null},{"id":"W182031189","doi":"10.1023/a:1026358815492","title":"The Fractal Nature of Riem/Diff I","year":2003,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Differential geometry; Algebraic geometry; Mathematics; Hyperbolic geometry; Projective geometry; Pure mathematics","score_opus":0.020389003805422745,"score_gpt":0.3009178256256212,"score_spread":0.28052882182019845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W182031189","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9288624,0.008937923,0.005324713,0.0026661032,0.0023906764,0.0006179557,0.000091072194,0.0001358788,0.05097328],"genre_scores_gemma":[0.9959394,0.00015586587,0.0021858406,0.00015145903,0.00012619192,0.000011709768,0.000015002126,0.000021680826,0.0013928968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981891,0.00013116436,0.00047283806,0.00026177926,0.0005049089,0.0004402466],"domain_scores_gemma":[0.9952713,0.0033602386,0.0003088305,0.0008179249,0.000114650604,0.00012701922],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0015163914,0.00016817795,0.0003385694,0.00044520572,0.00020137071,0.000022454597,0.0006232534,0.00032871598,0.0008502943],"category_scores_gemma":[0.019626515,0.00010843398,0.00014646562,0.002448255,0.0002925608,0.00006007174,0.00011026719,0.0005892345,0.00007365983],"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":[0.000038554157,0.00033964895,0.005211891,0.00007221885,0.00025346188,0.000017188551,0.00018634982,4.2253032e-7,0.0001534139,0.8650914,0.11291921,0.015716232],"study_design_scores_gemma":[0.0015945887,0.00019496978,0.0065351315,0.000023627348,0.00012222599,0.00009143872,0.00071506,0.000008368779,0.006462371,0.46457428,0.51934403,0.00033391692],"about_ca_topic_score_codex":0.000011340099,"about_ca_topic_score_gemma":0.0000065631393,"teacher_disagreement_score":0.4064248,"about_ca_system_score_codex":0.00002289859,"about_ca_system_score_gemma":0.00008177109,"threshold_uncertainty_score":0.9886316},"labels":[],"label_agreement":null},{"id":"W1826476301","doi":"10.1090/s0894-0347-07-00577-2","title":"Symplectic 𝐒¹×𝐍³, subgroup separability, and vanishing Thurston norm","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"National Science Foundation","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Norm (philosophy); Symplectic group; Combinatorics","score_opus":0.023910640567529454,"score_gpt":0.320838410714083,"score_spread":0.2969277701465535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1826476301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9581127,0.00010421501,0.03763474,0.0024466857,0.00014915793,0.00014726495,0.0000012532032,0.00002453032,0.0013794639],"genre_scores_gemma":[0.9629787,0.000037155456,0.03588,0.0006594343,0.00020525802,0.0000011081733,7.4451236e-8,0.000025274263,0.00021297715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979005,0.00011698982,0.00080367626,0.00016793425,0.0005708854,0.0004400205],"domain_scores_gemma":[0.9950362,0.0032088563,0.001069691,0.00034084267,0.00014222444,0.00020221899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003192589,0.00019974356,0.00068907737,0.000057372104,0.00021136373,0.000051716823,0.00047028798,0.000079911304,0.00009173175],"category_scores_gemma":[0.0023271327,0.00011868527,0.0005465306,0.0006989646,0.0008029852,0.00012753795,0.0002244347,0.0006011702,0.000006866282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041981338,0.0038484535,0.089967005,0.0021465719,0.0026283294,0.00010454707,0.03293494,0.000018245848,0.00706237,0.7826825,0.04191387,0.036273398],"study_design_scores_gemma":[0.00048929104,0.00034199512,0.019917628,0.000091924885,0.00025095546,0.00088413246,0.0041713156,0.00017693367,0.00043502575,0.97262996,0.00039522324,0.00021563208],"about_ca_topic_score_codex":0.000011700245,"about_ca_topic_score_gemma":0.000006063708,"teacher_disagreement_score":0.18994749,"about_ca_system_score_codex":0.00015976874,"about_ca_system_score_gemma":0.000059629292,"threshold_uncertainty_score":0.48398447},"labels":[],"label_agreement":null},{"id":"W1828932286","doi":"10.1090/s0002-9947-04-03576-7","title":"Characteristic subsurfaces and Dehn filling","year":2004,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Pure mathematics","score_opus":0.02325786491108421,"score_gpt":0.278939593709044,"score_spread":0.25568172879795975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1828932286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7452677,0.000028201519,0.25311178,0.001186951,0.000033108903,0.0001290144,0.0000102366885,0.00004335352,0.00018968993],"genre_scores_gemma":[0.9384671,0.000051262392,0.061152235,0.0001070778,0.000013786135,0.000009808749,2.5706007e-7,0.000015475083,0.0001830396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911577,0.0000341578,0.00029941427,0.00015343392,0.00018739542,0.00020986047],"domain_scores_gemma":[0.99885064,0.00055146037,0.00021158435,0.00028458243,0.000036308422,0.000065445005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021054465,0.0001304248,0.00036939452,0.000024209954,0.00017154794,0.000011813468,0.00019823092,0.000042520507,0.00012966014],"category_scores_gemma":[0.00014062994,0.000086874556,0.00024762348,0.0004450127,0.00085684395,0.000047943417,0.000018222858,0.00018612195,0.00000880728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017443998,0.0056957053,0.003646352,0.004506092,0.0029859785,0.000008631334,0.04492782,0.0012624183,0.026708322,0.86152554,0.0010449064,0.047513824],"study_design_scores_gemma":[0.000614579,0.0001677214,0.0042845164,0.00011127164,0.00031541602,0.000068541965,0.0035625128,0.00053084234,0.004712713,0.98525447,0.00009712003,0.00028027425],"about_ca_topic_score_codex":0.000048714624,"about_ca_topic_score_gemma":0.0000027878423,"teacher_disagreement_score":0.1931994,"about_ca_system_score_codex":0.00003125915,"about_ca_system_score_gemma":0.000029910885,"threshold_uncertainty_score":0.35426414},"labels":[],"label_agreement":null},{"id":"W1829567793","doi":"10.1017/etds.2017.8","title":"Large-scale geometry of homeomorphism groups","year":2017,"lang":"en","type":"preprint","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Homeomorphism (graph theory); Group (periodic table); Scale (ratio); Geometry; Topology (electrical circuits); Isometry (Riemannian geometry); Manifold (fluid mechanics); Type (biology); Pure mathematics; Combinatorics; Physics; Geography; Engineering; Cartography","score_opus":0.01907667780169282,"score_gpt":0.2817223005266939,"score_spread":0.2626456227250011,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1829567793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9186569,0.0052610957,0.068995126,0.00009454678,0.002723193,0.0006107668,0.0003909864,0.00012811227,0.0031393094],"genre_scores_gemma":[0.9948813,0.00017555233,0.00034274458,0.000019643088,0.00039178116,0.000053191576,0.000060314862,0.000051951087,0.0040235566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99683905,0.0006945391,0.0008619089,0.00068038335,0.00039765867,0.00052646315],"domain_scores_gemma":[0.9957104,0.0017591527,0.0009138738,0.0012805541,0.0000987676,0.00023725188],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0032428033,0.0004473404,0.0014709167,0.00038567235,0.00023055579,0.00008575313,0.0007406207,0.0010149194,0.00018055424],"category_scores_gemma":[0.0014438498,0.00036828392,0.0002893931,0.0001335994,0.00061181147,0.000057599387,0.0012150202,0.0009190276,0.000025922029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116801566,0.00025699893,0.0010633584,0.0020879488,0.00023961607,0.000032895263,0.0007560942,0.000018837394,0.000027871149,0.9943424,0.00056407636,0.0004931009],"study_design_scores_gemma":[0.00086689054,0.00011479942,0.0017050222,0.0006113381,0.00023318398,0.00010942343,0.0011798852,0.0017046555,0.0000112809485,0.9920161,0.00094055623,0.0005069113],"about_ca_topic_score_codex":0.000063600964,"about_ca_topic_score_gemma":0.000012297044,"teacher_disagreement_score":0.0762244,"about_ca_system_score_codex":0.000059397327,"about_ca_system_score_gemma":0.000077674194,"threshold_uncertainty_score":0.9998769},"labels":[],"label_agreement":null},{"id":"W1830541787","doi":"10.1007/s00222-015-0639-z","title":"Casson towers and slice links","year":2015,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Counterexample; Embedding; Tower; Ribbon; Fundamental group; Manifold (fluid mechanics); Pure mathematics; Homotopy; Conjecture; Bounded function; Prime (order theory); Boundary (topology); Topology (electrical circuits); Discrete mathematics; Geometry; Mathematical analysis; Combinatorics; Computer science","score_opus":0.17438267267327792,"score_gpt":0.35545382851165747,"score_spread":0.18107115583837954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1830541787","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9327732,0.0010124919,0.022242201,0.003198612,0.000527317,0.0004899004,0.000006394223,0.000348925,0.039400995],"genre_scores_gemma":[0.9531137,0.000035231238,0.037565812,0.0002441273,0.0001477626,0.00004221704,0.000004516844,0.000039052964,0.0088076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891645,0.000058218742,0.00034067812,0.00020242039,0.0002459425,0.00023629292],"domain_scores_gemma":[0.998949,0.00033774012,0.00014757796,0.00028134297,0.00009618859,0.00018817239],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006376177,0.00014503502,0.00028222744,0.00016145063,0.00006613377,0.00003765176,0.00013390397,0.00017556857,0.00019899661],"category_scores_gemma":[0.0014318924,0.00012276345,0.000066510336,0.0002771526,0.00011211289,0.00010888792,0.000095744705,0.00018338127,0.00018864665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008927177,0.00022313347,0.00046084434,0.00023015887,0.00006242798,0.000016449369,0.0021475062,4.910855e-7,0.00005465515,0.9723984,0.017987456,0.0064095417],"study_design_scores_gemma":[0.0005545957,0.00007688533,0.0001071696,0.000049529273,0.00005973346,0.00013083691,0.0013196764,0.0002388215,0.0001740966,0.98681575,0.010308339,0.00016456467],"about_ca_topic_score_codex":0.000014565596,"about_ca_topic_score_gemma":0.0000047811363,"teacher_disagreement_score":0.030593397,"about_ca_system_score_codex":0.000030330928,"about_ca_system_score_gemma":0.0000308453,"threshold_uncertainty_score":0.5006148},"labels":[],"label_agreement":null},{"id":"W1842540125","doi":"10.1090/s1079-6762-06-00154-5","title":"Cluster homology: An overview of the construction and results","year":2006,"lang":"en","type":"article","venue":"Electronic Research Announcements of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Submanifold; Annotation; Symplectic geometry; Homology (biology); Mathematics; Lagrangian; Algorithm; Computer science; Pure mathematics; Artificial intelligence; Biology","score_opus":0.0771242620458982,"score_gpt":0.39656286583356803,"score_spread":0.31943860378766986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1842540125","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918464,0.00042194818,0.00087846105,0.003891644,0.00003873981,0.00063950405,0.000037611866,0.000017153987,0.0022285297],"genre_scores_gemma":[0.99111575,0.0002974921,0.0072195716,0.0001318476,0.000056800895,0.000027567605,0.000003838181,0.00001846124,0.0011286708],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969903,0.0006284888,0.0006250887,0.00027147864,0.00083852006,0.00064607937],"domain_scores_gemma":[0.9973651,0.0010910963,0.00053022476,0.00073602074,0.00022559478,0.000051967192],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.002938541,0.00014243464,0.00042264466,0.00004938718,0.00025836274,0.000016833317,0.0006448078,0.000066378714,0.00003771408],"category_scores_gemma":[0.0011473658,0.00007858799,0.0002132308,0.0011272845,0.0034637975,0.00006788709,0.000428715,0.00049658294,0.0000025743097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016967207,0.0009735016,0.0031083245,0.00046012033,0.00028912412,3.451599e-7,0.0009045904,0.0000072024613,0.0039778207,0.96911836,0.015587677,0.005403292],"study_design_scores_gemma":[0.0006687576,0.00047916896,0.0030229276,0.00006257468,0.000043036584,0.000023269698,0.001014037,0.0002648286,0.0010653015,0.99134266,0.0019134503,0.00009997602],"about_ca_topic_score_codex":0.00018358615,"about_ca_topic_score_gemma":0.000027515383,"teacher_disagreement_score":0.022224342,"about_ca_system_score_codex":0.00013247714,"about_ca_system_score_gemma":0.000204992,"threshold_uncertainty_score":0.9992482},"labels":[],"label_agreement":null},{"id":"W1858308154","doi":"10.1090/s0002-9947-00-02557-5","title":"Universal Formulae for SU(𝑛) Casson Invariants of Knots","year":2000,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fibered knot; Conjugacy class; Knot theory; Knot (papermaking); Invariant (physics); Pure mathematics; Knot invariant; Algebraic number; Combinatorics; Mathematical analysis","score_opus":0.028886447613452687,"score_gpt":0.2933202887622502,"score_spread":0.26443384114879753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1858308154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62847716,0.000011609916,0.3681768,0.00079982914,0.00003794553,0.000450066,0.0000766863,0.00004117682,0.0019287545],"genre_scores_gemma":[0.93153644,0.000021317053,0.06613582,0.000068263456,0.00001568189,0.000016820464,7.9057986e-7,0.000020837306,0.0021840478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892557,0.000048252183,0.00040900861,0.0001496173,0.00021665473,0.000250891],"domain_scores_gemma":[0.9980897,0.001114279,0.0002642829,0.00039881223,0.00007371424,0.000059235783],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000267632,0.00013566371,0.0004958073,0.000034087607,0.00012159467,0.0000051918933,0.00034006295,0.00006523948,0.001664529],"category_scores_gemma":[0.000120900135,0.000095806325,0.0006117432,0.00060157117,0.0006377672,0.000059336642,0.000010794152,0.00013576844,0.000012056114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009874254,0.009558925,0.00077960314,0.004861952,0.0045585413,0.000002710353,0.02996385,0.0010662109,0.011576867,0.7243333,0.024467662,0.18784298],"study_design_scores_gemma":[0.0020955123,0.00073044543,0.0011884902,0.00013811122,0.00088270294,0.00003783624,0.005348425,0.0068902983,0.009660525,0.97100675,0.001577979,0.0004429434],"about_ca_topic_score_codex":0.000060181566,"about_ca_topic_score_gemma":0.0000044224744,"teacher_disagreement_score":0.30305928,"about_ca_system_score_codex":0.000041931922,"about_ca_system_score_gemma":0.00005326535,"threshold_uncertainty_score":0.9992481},"labels":[],"label_agreement":null},{"id":"W1862282121","doi":"10.1090/s0002-9947-05-03757-8","title":"Lagrangian tori in homotopy elliptic surfaces","year":2005,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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 Waterloo; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Symplectic geometry; Torus; Fibered knot; Homotopy; Pure mathematics; Homotopy group; Lagrangian; Knot (papermaking); Symplectomorphism; Geometry","score_opus":0.020371046112994652,"score_gpt":0.2871758580858623,"score_spread":0.26680481197286765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1862282121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9216298,0.00006288042,0.07230937,0.0038163834,0.00005978731,0.0002974585,0.000010715382,0.00006832345,0.0017452884],"genre_scores_gemma":[0.93489623,0.000040978965,0.063708246,0.0001511361,0.000032836906,0.000017540493,2.4267027e-7,0.000019311945,0.0011334815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869806,0.000083137194,0.00045043608,0.0001806441,0.00027442086,0.0003132959],"domain_scores_gemma":[0.99845004,0.00079512014,0.00020776883,0.00044394747,0.000036780748,0.00006636399],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037578627,0.00015818444,0.000465329,0.000051878764,0.00009848311,0.0000098794735,0.00038859848,0.00006328961,0.00053144485],"category_scores_gemma":[0.00011316737,0.00010886086,0.00043667795,0.0010243227,0.00062184304,0.00007217389,0.000018001405,0.00027527864,0.000041468815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024535123,0.016640589,0.0118237585,0.0030918757,0.0023466235,0.000008000106,0.059896745,0.0062270607,0.013428745,0.730649,0.013617087,0.14202514],"study_design_scores_gemma":[0.0026201596,0.00052516756,0.016668495,0.00030325324,0.0006867103,0.000089378176,0.016481342,0.019170456,0.011870785,0.92577124,0.004550063,0.0012629371],"about_ca_topic_score_codex":0.0000754798,"about_ca_topic_score_gemma":0.000036645117,"teacher_disagreement_score":0.19512224,"about_ca_system_score_codex":0.00007616509,"about_ca_system_score_gemma":0.00003428819,"threshold_uncertainty_score":0.5818949},"labels":[],"label_agreement":null},{"id":"W1871929648","doi":"10.1016/j.ejc.2015.05.001","title":"Flag algebras and the stable coefficients of the Jones polynomial","year":2015,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Conjecture; Graph; Polynomial; Planar graph; Flag (linear algebra); Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.03799076350958117,"score_gpt":0.25516937756499586,"score_spread":0.2171786140554147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1871929648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9847898,0.0011132602,0.0016283308,0.00122843,0.0017062088,0.00011263879,0.0000018930796,0.00000751068,0.00941191],"genre_scores_gemma":[0.9986228,0.000035742247,0.00017409469,0.00007987781,0.00010654874,1.6709052e-7,8.310152e-8,0.000018434619,0.00096224906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807036,0.0007571726,0.00052587636,0.000071598675,0.00041375015,0.00016126409],"domain_scores_gemma":[0.9981363,0.0005102913,0.0006785665,0.00024757933,0.00032335173,0.00010392615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030286892,0.000106818996,0.00030829894,0.000097851,0.00009249758,0.000027489605,0.0005236215,0.000023236851,0.000012144378],"category_scores_gemma":[0.0021673888,0.000053246404,0.00010476029,0.00041152432,0.00032281165,0.000059798924,0.00021293222,0.00027293887,0.000005889609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00049264973,0.00065015047,0.009344834,0.00007779433,0.000265411,0.000082866645,0.006187617,0.000046948535,0.00008723011,0.8738223,0.10609397,0.002848268],"study_design_scores_gemma":[0.039235298,0.002113588,0.024579398,0.00027755878,0.00074325595,0.0014763222,0.0066845613,0.0002112936,0.0025548046,0.7994285,0.122034594,0.0006608056],"about_ca_topic_score_codex":0.0000028000748,"about_ca_topic_score_gemma":2.9884797e-7,"teacher_disagreement_score":0.07439374,"about_ca_system_score_codex":0.000024213308,"about_ca_system_score_gemma":0.000090508285,"threshold_uncertainty_score":0.25947234},"labels":[],"label_agreement":null},{"id":"W1882108508","doi":"10.1515/jgth-2017-0020","title":"Subgroups of relatively hyperbolic groups of Bredon cohomological dimension 2","year":2017,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Mathematics; Dimension (graph theory); Cohomological dimension; Pure mathematics; Class (philosophy); Algebraic number; Group (periodic table); Algebra over a field; Mathematical analysis; Cohomology; Computer science","score_opus":0.05415787557436876,"score_gpt":0.31998267065092856,"score_spread":0.2658247950765598,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1882108508","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9831951,0.002507282,0.00968825,0.00017464184,0.0012421989,0.0002534993,0.000030578412,0.00001711393,0.002891303],"genre_scores_gemma":[0.99157226,0.00040773532,0.007236344,0.000028185426,0.0003450149,0.0000029907615,0.0000057907814,0.00004321591,0.0003584642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99603695,0.0008515986,0.0018114137,0.00030217489,0.00067298,0.00032486036],"domain_scores_gemma":[0.98966634,0.002668556,0.0061774757,0.00082040415,0.00051810744,0.0001491271],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0046437266,0.0003878271,0.001976104,0.0006617903,0.000094172705,0.000017353454,0.0011210316,0.0008202182,0.00025197028],"category_scores_gemma":[0.004268663,0.00028138087,0.00080981717,0.00015416076,0.0008304105,0.00012329884,0.0008688925,0.0015873347,0.0000056752942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012764498,0.0013152099,0.005397818,0.0009224472,0.0010381824,0.00023891972,0.0017144077,0.000025441848,0.0033439533,0.97767204,0.0011524664,0.0059026387],"study_design_scores_gemma":[0.001112292,0.0009325608,0.024201192,0.0006561368,0.00046459676,0.00044533418,0.00034303393,0.000013275105,0.0009911909,0.9704584,0.0001329337,0.00024908854],"about_ca_topic_score_codex":0.000016875718,"about_ca_topic_score_gemma":0.0000020975042,"teacher_disagreement_score":0.018803373,"about_ca_system_score_codex":0.00008663343,"about_ca_system_score_gemma":0.00014461856,"threshold_uncertainty_score":0.9999638},"labels":[],"label_agreement":null},{"id":"W1883357330","doi":"10.1090/amsip/033/01","title":"A survey of mirror principle","year":2003,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Psychology; Computer science; Physics; Geography","score_opus":0.20193797522253568,"score_gpt":0.4112678427236329,"score_spread":0.20932986750109725,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1883357330","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027397156,0.038337246,0.006894657,0.00033401433,0.004009835,0.0059087225,0.00072218425,0.0004765896,0.9159196],"genre_scores_gemma":[0.01251543,0.008654165,0.26147297,0.00021232374,0.000063948486,0.00017601188,0.000047880094,0.00046979688,0.7163875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964901,0.00007599841,0.0017667154,0.0005732503,0.0005430554,0.00055087055],"domain_scores_gemma":[0.9926867,0.0041863164,0.0014190028,0.0011006114,0.0005240808,0.00008327481],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012464045,0.0007208597,0.0024356074,0.0005339912,0.00007551134,0.0000059485883,0.00048666657,0.00044017716,0.00022115793],"category_scores_gemma":[0.0069280076,0.00064453186,0.00023915939,0.00031303856,0.0006629855,0.00006197095,0.000404427,0.0005762504,0.00006011522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002403253,0.00036290032,0.00013429447,0.0039848695,0.0007141611,0.000071364775,0.0021115337,0.0000055823352,0.000008810973,0.988742,0.0022730927,0.0015673606],"study_design_scores_gemma":[0.0009880756,0.00020581251,0.000111963614,0.0013750234,0.00019152275,0.00003825054,0.00079656707,0.000018628542,0.00008487727,0.9837281,0.011702398,0.0007587413],"about_ca_topic_score_codex":0.000012482225,"about_ca_topic_score_gemma":0.00041999423,"teacher_disagreement_score":0.2545783,"about_ca_system_score_codex":0.00021540796,"about_ca_system_score_gemma":0.00008585732,"threshold_uncertainty_score":0.9996006},"labels":[],"label_agreement":null},{"id":"W1892044387","doi":"10.1090/s0002-9947-04-03550-0","title":"Symmetric functions and the phase problem in crystallography","year":2004,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; National Science Foundation","keywords":"Mathematics; Phase problem; Phase (matter); Pure mathematics; Combinatorics; Diffraction; Chemistry; Physics","score_opus":0.016328897248821188,"score_gpt":0.27940563203978735,"score_spread":0.26307673479096616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1892044387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5285178,0.00011574358,0.4598153,0.007598874,0.000048360398,0.0007874042,0.000019144149,0.000067492314,0.0030299253],"genre_scores_gemma":[0.9710678,0.000060388993,0.028438378,0.00012501603,0.00001105557,0.00006859043,3.040753e-7,0.000014778214,0.00021369768],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988316,0.00009958968,0.00042010343,0.00017413263,0.00023021868,0.0002443148],"domain_scores_gemma":[0.9981616,0.0011515261,0.0002233275,0.00036952447,0.000039360995,0.000054656593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004700205,0.00014543373,0.0004385137,0.0001109166,0.00020408936,0.000013823437,0.00026263628,0.00004841574,0.000066663226],"category_scores_gemma":[0.00016743838,0.000078337005,0.00044461864,0.0025543836,0.0021034149,0.000053158048,0.000024349845,0.00031773048,0.00000346874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015762262,0.0033421707,0.00024862724,0.00042384202,0.00058085646,0.0000013521238,0.0064131236,0.00031366196,0.00037414057,0.97598773,0.00035310708,0.011803766],"study_design_scores_gemma":[0.0037739456,0.00015318801,0.00038994904,0.00004339146,0.00022827195,0.00004579158,0.0042955545,0.00037029193,0.000097401506,0.9903692,0.00009715222,0.00013584354],"about_ca_topic_score_codex":0.00014299026,"about_ca_topic_score_gemma":0.000012358275,"teacher_disagreement_score":0.44255003,"about_ca_system_score_codex":0.00004001503,"about_ca_system_score_gemma":0.000040622817,"threshold_uncertainty_score":0.77501196},"labels":[],"label_agreement":null},{"id":"W1903727025","doi":"10.1007/s00208-016-1388-z","title":"Finite type invariants of w-knotted objects II: tangles, foams and the Kashiwara–Vergne problem","year":2016,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Invariant (physics); Type (biology); Conjecture; Lie algebra; Mathematical physics","score_opus":0.050584618922513716,"score_gpt":0.2920326000273969,"score_spread":0.2414479811048832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1903727025","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6729296,0.02315207,0.056515552,0.022642482,0.002720356,0.011340308,0.0010437465,0.0010999395,0.20855598],"genre_scores_gemma":[0.9619797,0.00066972745,0.020064728,0.0002542227,0.0002949246,0.00018189898,0.000033098673,0.00012801426,0.016393678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970315,0.00032686713,0.0010191684,0.0006089587,0.00050233625,0.000511175],"domain_scores_gemma":[0.99483514,0.002358649,0.0011430038,0.0012211979,0.0003198662,0.0001221569],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00161059,0.00053896126,0.0013485664,0.00032577472,0.00018689153,0.000052362037,0.0008505552,0.0005749367,0.0005480886],"category_scores_gemma":[0.002925856,0.00031345314,0.00024565478,0.0004409083,0.00059142517,0.000093254406,0.0020140049,0.0006561252,0.000083023384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039008493,0.0006182802,0.0003883298,0.0052985386,0.0016703458,0.000043390606,0.013485961,0.000006751544,0.00029158828,0.9212884,0.04928064,0.00723773],"study_design_scores_gemma":[0.0019097117,0.00015061055,0.0002083942,0.0011109451,0.0003265836,0.00005179307,0.0001971304,0.00017767116,0.0006247046,0.9926264,0.0021852455,0.0004307924],"about_ca_topic_score_codex":0.000045513487,"about_ca_topic_score_gemma":0.000019154915,"teacher_disagreement_score":0.28905016,"about_ca_system_score_codex":0.000030131097,"about_ca_system_score_gemma":0.00022221355,"threshold_uncertainty_score":0.99993175},"labels":[],"label_agreement":null},{"id":"W1903931195","doi":"10.2140/gt.2023.27.823","title":"A calculus for bordered Floer homology","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"","keywords":"Mathematics; Fibered knot; Floer homology; Torus; Homology (biology); Pure mathematics; Mapping class group; Boundary (topology); Teichmüller space; Space (punctuation); Mathematical analysis; Geometry; Surface (topology)","score_opus":0.06777198360227595,"score_gpt":0.36541439219754585,"score_spread":0.2976424085952699,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1903931195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9292878,0.0004718089,0.04471007,0.01215087,0.0046270583,0.0012416762,0.00012302298,0.0010883764,0.0062993146],"genre_scores_gemma":[0.9680368,0.00006448073,0.0076841014,0.0010594017,0.00072956394,0.0005273723,0.00010529329,0.00009217932,0.021700822],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753773,0.00012384904,0.0004987741,0.00056052994,0.00015970835,0.0011193787],"domain_scores_gemma":[0.9960958,0.0028966703,0.0001557147,0.00057083124,0.00012998027,0.00015105325],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007029949,0.0002691178,0.00066547125,0.0012836346,0.00022533108,0.0000146706125,0.0004268954,0.00046380569,0.0016443874],"category_scores_gemma":[0.0037834211,0.00025286048,0.00023116398,0.0022587527,0.0003687025,0.000052039944,0.00023549417,0.00025160352,0.0008566406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013291863,0.00028567197,0.0031370695,0.00022465827,0.00037369225,0.00016572083,0.00057314575,0.000023684133,0.00066203147,0.772261,0.19799092,0.024169467],"study_design_scores_gemma":[0.0023648634,0.00072786526,0.0044645797,0.000007484338,0.00013329447,0.0002984955,0.00079174765,0.00038984683,0.0008312692,0.71558934,0.2738467,0.00055448763],"about_ca_topic_score_codex":0.0001451704,"about_ca_topic_score_gemma":0.00007544066,"teacher_disagreement_score":0.07585578,"about_ca_system_score_codex":0.000050522805,"about_ca_system_score_gemma":0.000083687846,"threshold_uncertainty_score":0.9999924},"labels":[],"label_agreement":null},{"id":"W1925064485","doi":"10.1080/10586458.2015.1005853","title":"Random Sampling of Trivial Words in Finitely Presented Groups","year":2015,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Geometric and Algebraic Topology","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":"York University; University of British Columbia","funders":"","keywords":"Mathematics; Finitely-generated abelian group; Sampling (signal processing); Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Statistics; Arithmetic","score_opus":0.15729616975835328,"score_gpt":0.3807937401293309,"score_spread":0.22349757037097764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1925064485","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97934324,0.00043806992,0.013991794,0.00006642885,0.00028680588,0.000450284,0.0000065640147,0.00006519171,0.005351635],"genre_scores_gemma":[0.9336066,0.000003812948,0.06587523,0.000017613855,0.00008042745,0.00004079534,0.0000048553798,0.000032544973,0.0003381143],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826837,0.00007959658,0.000751185,0.00020199161,0.00038890357,0.00030998015],"domain_scores_gemma":[0.99833506,0.00089717243,0.00026335553,0.00033209796,0.00005036204,0.000121922414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006275003,0.0002047381,0.00059987203,0.00030503594,0.0000273133,0.000015375275,0.00026478668,0.00012035884,0.00016878988],"category_scores_gemma":[0.0013458596,0.00018014849,0.00011076892,0.0005238573,0.00012242787,0.00009205511,0.00015664723,0.00015298193,0.000031907268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014576211,0.016332278,0.0045849364,0.0011703848,0.00043273377,0.00015094783,0.15768176,0.00023983499,0.025694318,0.7819381,0.0087319035,0.0015851957],"study_design_scores_gemma":[0.024155242,0.0009613196,0.0002104551,0.00039784098,0.00008516334,0.00015046622,0.06163757,0.005808719,0.13149445,0.77343565,0.0007149651,0.00094818394],"about_ca_topic_score_codex":0.000025891577,"about_ca_topic_score_gemma":0.0000055923447,"teacher_disagreement_score":0.10580013,"about_ca_system_score_codex":0.00007855289,"about_ca_system_score_gemma":0.00004978953,"threshold_uncertainty_score":0.7346242},"labels":[],"label_agreement":null},{"id":"W1926003511","doi":"10.1142/s0218196700000133","title":"FREE GROUP ROOTS OF a<sup>k</sup>b<sup>l</sup> AND [ a<sup>k</sup>,b]","year":2000,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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; Conjugacy class; Combinatorics; Group (periodic table); Closure (psychology); Physics","score_opus":0.017062935131293627,"score_gpt":0.27865723242999324,"score_spread":0.2615942972986996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1926003511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97814316,0.00072405656,0.017178908,0.0017870616,0.00018963743,0.00018602755,0.000049393682,0.00003274582,0.0017089873],"genre_scores_gemma":[0.99158543,0.00030388284,0.00676285,0.00030781399,0.00047900647,0.0000041885833,0.000029210642,0.000027859882,0.0004997724],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99715,0.000175544,0.0012049128,0.00032528996,0.00084018824,0.00030406396],"domain_scores_gemma":[0.9974373,0.0009358294,0.0006179056,0.00019645935,0.00062962505,0.00018289384],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006181821,0.0003133313,0.0006038732,0.00079559244,0.00012024645,0.00012601123,0.0005465515,0.00020879306,0.00055723364],"category_scores_gemma":[0.00044861768,0.00028383132,0.00020607235,0.00036735932,0.00020567572,0.00049633114,0.00015051532,0.00039356528,0.000012486829],"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":[0.001779743,0.0023858966,0.019977752,0.00052586215,0.0034449578,0.0004530054,0.01396654,0.10292339,0.00021770132,0.24058618,0.02620108,0.5875379],"study_design_scores_gemma":[0.008456263,0.0012628309,0.020555768,0.0006149581,0.00039823717,0.0019290335,0.003282466,0.18925817,0.00023449825,0.76958156,0.0037134427,0.00071274856],"about_ca_topic_score_codex":0.00005205395,"about_ca_topic_score_gemma":0.0000044388657,"teacher_disagreement_score":0.58682513,"about_ca_system_score_codex":0.00008086141,"about_ca_system_score_gemma":0.00010338001,"threshold_uncertainty_score":0.9999614},"labels":[],"label_agreement":null},{"id":"W1929913963","doi":"10.1093/imrn/rnv210","title":"Symmetries of Hyperbolic 4-Manifolds","year":2015,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Università di Pisa; Université de Fribourg; Waseda University; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; University of Auckland","keywords":"Sierra leone; Mathematics; George (robot); Homogeneous space; Library science; Humanities; Art history; Sociology; Art; Geometry; Computer science; Ethnology","score_opus":0.39742570826923346,"score_gpt":0.4871023973163147,"score_spread":0.08967668904708126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1929913963","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82297623,0.00031244504,0.0030809983,0.0027827001,0.0007201317,0.00035848428,0.000027658638,0.00009212418,0.16964923],"genre_scores_gemma":[0.9644741,0.000023537954,0.031229563,0.000028474513,0.00019318516,0.000021268661,0.0000042543643,0.000025327692,0.0040003275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970718,0.00012723645,0.00053862174,0.0002111106,0.001699985,0.00035125812],"domain_scores_gemma":[0.99426067,0.0032128613,0.00021571135,0.00036816727,0.0017775177,0.00016508087],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002903374,0.00013175294,0.0003189141,0.00096256397,0.000057305726,0.00006585298,0.0008899427,0.000102584854,0.0003574781],"category_scores_gemma":[0.018144961,0.00010816881,0.00008280323,0.0007517441,0.00033548966,0.00018801587,0.00034620214,0.00026368475,0.00022628746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002186436,0.0005449645,0.000724114,0.00017340163,0.00014089154,0.000015164889,0.0019426921,0.000011908519,0.00017879957,0.98464173,0.010649681,0.0009547749],"study_design_scores_gemma":[0.00057155336,0.0001849397,0.0002249678,0.000089114605,0.000020287564,0.000025363875,0.0049077105,0.0016206611,0.003681103,0.9806958,0.007832874,0.00014566703],"about_ca_topic_score_codex":0.000079330406,"about_ca_topic_score_gemma":0.000020495667,"teacher_disagreement_score":0.1656489,"about_ca_system_score_codex":0.00008881707,"about_ca_system_score_gemma":0.00015131682,"threshold_uncertainty_score":0.9901256},"labels":[],"label_agreement":null},{"id":"W1938570042","doi":"10.1090/s0002-9947-03-03319-1","title":"Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds","year":2003,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fibered knot; Annotation; Torus; Algorithm; Type (biology); Mathematics; Semantics (computer science); Scale (ratio); Computer science; Artificial intelligence; Pure mathematics; Geometry; Biology; Physics","score_opus":0.036562046667569466,"score_gpt":0.3145507850965544,"score_spread":0.2779887384289849,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1938570042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58960503,0.00006212484,0.40270177,0.0011822986,0.00013413324,0.0015293377,0.00014213847,0.00006739294,0.0045757666],"genre_scores_gemma":[0.9141463,0.000041203508,0.08431342,0.00031881934,0.000017161694,0.00010943906,0.0000013684391,0.000035507805,0.0010167608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985364,0.00012749167,0.0004683841,0.00028150843,0.00022381966,0.00036236166],"domain_scores_gemma":[0.99771714,0.0012944817,0.00032057977,0.000490257,0.00006086003,0.00011668144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062775734,0.00022600593,0.0005918562,0.000039674433,0.00030681991,0.00005671091,0.0005443744,0.00007831169,0.0003232338],"category_scores_gemma":[0.00023959842,0.00015722713,0.0004610449,0.00037731254,0.0008840352,0.00011594999,0.00007286238,0.00018808316,0.0000049183395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010307181,0.002056765,0.0013251671,0.00053503463,0.0007673357,7.0375705e-7,0.0061769304,0.000006968095,0.00062844425,0.98127866,0.0023993037,0.0047215912],"study_design_scores_gemma":[0.002069257,0.0004899241,0.0006479557,0.00008294187,0.00035988065,0.00008237026,0.012694861,0.0005612052,0.0012420877,0.9785432,0.002857769,0.00036851433],"about_ca_topic_score_codex":0.00004492015,"about_ca_topic_score_gemma":0.000009286505,"teacher_disagreement_score":0.3245413,"about_ca_system_score_codex":0.00005867684,"about_ca_system_score_gemma":0.000047281654,"threshold_uncertainty_score":0.64115363},"labels":[],"label_agreement":null},{"id":"W1938814885","doi":"10.1007/s00208-015-1314-9","title":"Heegaard structure respects complicated JSJ decompositions","year":2015,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Quest University Canada","funders":"","keywords":"Mathematics; Combinatorics; Torus; Disjoint sets; Image (mathematics); Homeomorphism (graph theory); Manifold (fluid mechanics); Boundary (topology); Heegaard splitting; Surface (topology); Geometry; Mathematical analysis; Fibered knot; Artificial intelligence","score_opus":0.1969741307381219,"score_gpt":0.3777523647683218,"score_spread":0.1807782340301999,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1938814885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9065411,0.0006039905,0.02196877,0.006324225,0.00032911205,0.00072945317,0.0001314694,0.0006995517,0.06267232],"genre_scores_gemma":[0.93601507,0.0000053846616,0.059155717,0.00035223074,0.00017848855,0.000027974376,0.000036708145,0.000051335403,0.004177075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983847,0.00010881518,0.00041974816,0.00032631253,0.0003505416,0.00040984142],"domain_scores_gemma":[0.99836,0.000351719,0.00019568237,0.00061727373,0.00020777169,0.00026756077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034410474,0.00024641457,0.00044439308,0.00024943711,0.00013244688,0.00006135371,0.0004054998,0.00016273391,0.0007538609],"category_scores_gemma":[0.00065963983,0.00020615362,0.000104960185,0.00062107336,0.00011334113,0.00014369782,0.00015599726,0.0003022434,0.00053798035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004384853,0.00033919295,0.00052031595,0.00014952941,0.0001994381,0.00006192306,0.0023355656,0.000010982435,0.0015154715,0.58369356,0.4099009,0.0012292691],"study_design_scores_gemma":[0.0008592245,0.0001219146,0.00075293676,0.000049543647,0.00007080278,0.00033280038,0.00037329062,0.00018024725,0.0024429257,0.9739406,0.020546146,0.0003295823],"about_ca_topic_score_codex":0.000018176457,"about_ca_topic_score_gemma":0.000019601657,"teacher_disagreement_score":0.39024702,"about_ca_system_score_codex":0.000044308323,"about_ca_system_score_gemma":0.00007829877,"threshold_uncertainty_score":0.84067005},"labels":[],"label_agreement":null},{"id":"W1941606058","doi":"10.2140/agt.2018.18.1883","title":"Algebraic ending laminations and quasiconvexity","year":2018,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Algebraic number; Geodesic; Context (archaeology); Sequence (biology); Dual (grammatical number); Algebra over a field; Finitely-generated abelian group","score_opus":0.04245544698203347,"score_gpt":0.3237785329810795,"score_spread":0.28132308599904604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1941606058","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9518502,0.00092418806,0.019327568,0.0028109218,0.0016879439,0.0004902559,0.000021067068,0.00044403525,0.022443848],"genre_scores_gemma":[0.9876496,0.00010512052,0.0062751807,0.00088024,0.00077572797,0.000052461543,0.000014842853,0.000065511944,0.0041812737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964034,0.00029368117,0.00079801684,0.000938842,0.00041156952,0.0011545052],"domain_scores_gemma":[0.9950631,0.0031631542,0.0003682908,0.0007872627,0.00027319277,0.00034496796],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011576765,0.00047472402,0.00081059476,0.0029901748,0.0006175185,0.000065833156,0.00057544245,0.0004936023,0.0044044084],"category_scores_gemma":[0.0054113916,0.00045459287,0.00016455163,0.00488428,0.0017050735,0.00026201224,0.0004604901,0.00049561576,0.00046154961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018948213,0.00021891721,0.0111548705,0.000056384208,0.00016197225,0.00003637722,0.0006387739,5.8793972e-8,0.00014233336,0.9432606,0.0064196675,0.03789109],"study_design_scores_gemma":[0.0017836593,0.0011796752,0.04327859,0.000020004238,0.00021966046,0.0008298035,0.0009223125,0.00007407628,0.0024969869,0.9255041,0.02280381,0.0008873532],"about_ca_topic_score_codex":0.00014568365,"about_ca_topic_score_gemma":0.000097834476,"teacher_disagreement_score":0.037003737,"about_ca_system_score_codex":0.00010720688,"about_ca_system_score_gemma":0.000109711356,"threshold_uncertainty_score":0.9997906},"labels":[],"label_agreement":null},{"id":"W1950030628","doi":"10.5802/aif.2098","title":"Orderable 3-manifold groups","year":2005,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":179,"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 Hospital","funders":"Marsden Fund; Natural Sciences and Engineering Research Council of Canada","keywords":"Betti number; Mathematics; 3-manifold; Invariant (physics); Manifold (fluid mechanics); Pure mathematics; Group (periodic table); Relatively hyperbolic group; Hyperbolic manifold; Mathematical analysis; Physics; Mathematical physics; Hyperbolic function","score_opus":0.036008461149352966,"score_gpt":0.29516186430580715,"score_spread":0.2591534031564542,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1950030628","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79571116,0.0017102407,0.017800221,0.007758238,0.00049979653,0.00034194122,0.000013137704,0.00038302995,0.17578225],"genre_scores_gemma":[0.951166,0.00010393209,0.0306371,0.0017889969,0.00071598997,0.000023523953,0.0000064038804,0.00003003109,0.015528023],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99863183,0.000042887143,0.00029423187,0.00026785227,0.00021895171,0.00054424716],"domain_scores_gemma":[0.9990824,0.00019872004,0.00009160624,0.00039578084,0.00007137676,0.00016011762],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003393781,0.00019553011,0.0002670158,0.00018500608,0.00020325913,0.00004332707,0.00027722298,0.00015931625,0.0017901267],"category_scores_gemma":[0.0004957384,0.00017794936,0.00012016092,0.0003496789,0.000104243256,0.00021931232,0.00007994402,0.00023779416,0.0008020674],"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":[0.000019460049,0.00025737024,0.0024521516,0.00005025995,0.000104766004,0.000085055166,0.0006357867,0.00006304914,0.000048037193,0.86463726,0.115314074,0.016332736],"study_design_scores_gemma":[0.00063178065,0.000066939814,0.0007813008,0.0000229995,0.00006324475,0.00017122719,0.00013116802,0.00053108647,0.0005065569,0.15116933,0.84561,0.00031435583],"about_ca_topic_score_codex":0.000027514938,"about_ca_topic_score_gemma":0.00014178616,"teacher_disagreement_score":0.73029596,"about_ca_system_score_codex":0.00005938329,"about_ca_system_score_gemma":0.000100710255,"threshold_uncertainty_score":0.9999759},"labels":[],"label_agreement":null},{"id":"W1963634966","doi":"10.1142/s0218216511010085","title":"INSTANTON FLOER HOMOLOGY FOR TWO-COMPONENT LINKS","year":2011,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Floer homology; Khovanov homology; Mathematics; Instanton; Morse homology; Relative homology; Homology (biology); Pure mathematics; Euler characteristic; Cellular homology; Euler's formula; Mayer–Vietoris sequence; Linking number; Combinatorics; Mathematical analysis; Algebra over a field; Mathematical physics; Cohomology; Genetics; Equivariant cohomology; Amino acid","score_opus":0.07765666708387248,"score_gpt":0.325446477418263,"score_spread":0.24778981033439051,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963634966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9049233,0.0013744729,0.08829403,0.00084738253,0.00050424604,0.000265797,0.000016021273,0.00002080207,0.0037539199],"genre_scores_gemma":[0.9921979,0.000100524005,0.006417447,0.0001307586,0.00014610299,0.000008564059,0.0000014250285,0.000011900284,0.0009853876],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990664,0.00015958224,0.00044756435,0.00009879304,0.00007328237,0.00015434093],"domain_scores_gemma":[0.9981462,0.0010426078,0.0003521118,0.00014306912,0.00022748167,0.00008856576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012106848,0.000092478585,0.00024499113,0.00024265186,0.00013422016,0.00000886411,0.00017467035,0.00012209316,0.00024059394],"category_scores_gemma":[0.0010295571,0.00007055685,0.000097003234,0.00014858597,0.00009548797,0.00009774147,0.00002317481,0.00025489484,0.000009674412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119860364,0.00022896734,0.000036971764,0.000022408067,0.000074518495,0.0000031345871,0.0014446088,6.288308e-7,0.0014043272,0.9924357,0.00037620016,0.003852662],"study_design_scores_gemma":[0.00093426823,0.00030537933,0.0011338965,0.00002041975,0.00014561745,0.00025524362,0.00071932614,0.000041432464,0.0027292832,0.9882567,0.005353685,0.0001047368],"about_ca_topic_score_codex":8.065699e-7,"about_ca_topic_score_gemma":0.0000010263514,"teacher_disagreement_score":0.08727456,"about_ca_system_score_codex":0.000015117919,"about_ca_system_score_gemma":0.000049659066,"threshold_uncertainty_score":0.2877225},"labels":[],"label_agreement":null},{"id":"W1963782883","doi":"10.1017/s0004972711002127","title":"EXOTIC LEFT-ORDERINGS OF THE FREE GROUPS FROM THE DEHORNOY ORDERING","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Mathematics; Combinatorics; Free group; Braid group; Group (periodic table); Regular polygon; Geometry","score_opus":0.07597466627204683,"score_gpt":0.25301083311420874,"score_spread":0.17703616684216192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963782883","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9770939,0.00005399504,0.0023175627,0.015052111,0.0003033893,0.0007109209,0.000040023562,0.00006321038,0.0043649264],"genre_scores_gemma":[0.965753,0.000007502562,0.029424548,0.0003501167,0.000079654914,0.000013601063,5.350835e-7,0.000039258783,0.0043317373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997943,0.00016844561,0.0007213764,0.00025587846,0.0004987002,0.00041259092],"domain_scores_gemma":[0.9963976,0.0014211205,0.00049394683,0.0015379734,0.00008058321,0.00006875996],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00078237493,0.00026157103,0.0004969163,0.00001286338,0.00021817582,0.000016532149,0.002150551,0.00021106678,0.0054241833],"category_scores_gemma":[0.0019962569,0.00012488857,0.0007412808,0.0002877123,0.00094467745,0.000018914303,0.0009273139,0.00044992866,0.0000590958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043663076,0.0013908765,0.012353538,0.0013965719,0.0011401634,0.000003048542,0.029641645,0.000010875105,0.0016371609,0.55577,0.39613578,0.00047667822],"study_design_scores_gemma":[0.0006297735,0.000052061394,0.021955604,0.00031545598,0.00033825586,0.00003107782,0.0046993922,0.00003337762,0.0064952457,0.9601602,0.005028039,0.00026154987],"about_ca_topic_score_codex":0.000252874,"about_ca_topic_score_gemma":0.000011694291,"teacher_disagreement_score":0.40439016,"about_ca_system_score_codex":0.000030390032,"about_ca_system_score_gemma":0.000032803415,"threshold_uncertainty_score":0.995485},"labels":[],"label_agreement":null},{"id":"W1964300581","doi":"10.1112/jtopol/jtt027","title":"Weak hyperbolicity of cube complexes and quasi-arboreal groups","year":2013,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":50,"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":"Hyperplane; Bipartite graph; Generalization; Dimension (graph theory); Cube (algebra); Intersection (aeronautics); Intersection graph; Graph","score_opus":0.029216363127712447,"score_gpt":0.29141878565127666,"score_spread":0.2622024225235642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964300581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99297005,0.00040526292,0.0014118211,0.0026708539,0.00028845505,0.00007907633,0.000002881772,0.000007843454,0.002163757],"genre_scores_gemma":[0.99270666,0.00010089636,0.006624865,0.0001428477,0.00022506781,0.0000012446194,3.4490785e-7,0.0000100139505,0.00018808163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880254,0.000119468175,0.00061439397,0.00009387012,0.00014650088,0.00022323125],"domain_scores_gemma":[0.99830306,0.0006888104,0.0005623104,0.00014627307,0.00019103065,0.000108547974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034486817,0.00011402539,0.000593389,0.00027810253,0.000040662664,0.000007882502,0.00020083123,0.00013450651,0.0006218733],"category_scores_gemma":[0.0006065255,0.000084866784,0.00010192915,0.00014858434,0.00037432843,0.00009757435,0.00007933176,0.00023750031,0.000008664312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000877485,0.0008012988,0.05978355,0.00016940199,0.00032978316,0.000033239383,0.0012114163,0.0000017740396,0.005978423,0.8930857,0.026458073,0.012059593],"study_design_scores_gemma":[0.0014292691,0.0013951146,0.111914665,0.000025296426,0.00010775986,0.001576453,0.0015929299,0.00005523855,0.001333061,0.8782093,0.0021916754,0.00016925295],"about_ca_topic_score_codex":0.00027823143,"about_ca_topic_score_gemma":0.000029928293,"teacher_disagreement_score":0.052131113,"about_ca_system_score_codex":0.000016335041,"about_ca_system_score_gemma":0.00003584707,"threshold_uncertainty_score":0.6809076},"labels":[],"label_agreement":null},{"id":"W1964349168","doi":"10.1142/s021819671240005x","title":"THE MAGNUS EMBEDDING IS A QUASI-ISOMETRY","year":2012,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"Mathematics; Wreath product; Isometry (Riemannian geometry); Embedding; Rank (graph theory); Combinatorics; Solvable group; Pure mathematics; Product (mathematics); Degree (music); Abelian group; Geometry","score_opus":0.030827957529112205,"score_gpt":0.3545952090840392,"score_spread":0.32376725155492697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964349168","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9079332,0.0012632217,0.08541624,0.0030175638,0.0016868305,0.000044129636,0.0000016948494,0.000010470514,0.0006266964],"genre_scores_gemma":[0.9942074,0.00011073737,0.0047304137,0.0002244188,0.0005793533,6.678796e-7,7.462372e-7,0.0000073792203,0.00013888105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902046,0.000051295065,0.00036392116,0.000055961787,0.00036586865,0.00014248869],"domain_scores_gemma":[0.9984231,0.0008038231,0.00036959458,0.00004465224,0.0002868067,0.000072050185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005592063,0.000075838034,0.00012203366,0.0002166133,0.00009323626,0.00007431139,0.00018197272,0.000041221672,0.00004803815],"category_scores_gemma":[0.00036833406,0.00005108697,0.00006109217,0.00013579935,0.000052563006,0.00024490792,0.000048754802,0.00013794763,0.0000096092845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016916248,0.00050342374,0.021857286,0.000028018874,0.0007909828,0.000031713727,0.004935787,0.00003496332,0.00020493595,0.5122384,0.017392678,0.44181266],"study_design_scores_gemma":[0.0016878921,0.00043062537,0.03661074,0.00008130692,0.000115663424,0.002072954,0.0034464072,0.003287486,0.00062190735,0.9396738,0.011704416,0.00026681507],"about_ca_topic_score_codex":0.000002960099,"about_ca_topic_score_gemma":4.925812e-7,"teacher_disagreement_score":0.44154584,"about_ca_system_score_codex":0.00003495738,"about_ca_system_score_gemma":0.000024487726,"threshold_uncertainty_score":0.20832661},"labels":[],"label_agreement":null},{"id":"W1964920449","doi":"10.1142/s0218216508006294","title":"A POLYNOMIAL INVARIANT FOR FLAT VIRTUAL LINKS","year":2008,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Bracket polynomial; HOMFLY polynomial; Jones polynomial; Polynomial; Quantum invariant; Knot polynomial; Invariant (physics); Alexander polynomial; Matrix polynomial; Invariant polynomial; Converse; Knot (papermaking); Combinatorics; Discrete mathematics; Alternating polynomial; Square-free polynomial; Geometry; Knot invariant; Mathematical analysis; Knot theory","score_opus":0.05464698038869493,"score_gpt":0.30523458555887095,"score_spread":0.25058760517017603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964920449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9361535,0.0008444071,0.05925423,0.0021455719,0.00040235475,0.00023427815,0.000023119379,0.000018264353,0.00092427817],"genre_scores_gemma":[0.9934196,0.00017880261,0.0026116248,0.00016456224,0.00038124074,0.0000058070405,0.0000015753312,0.000011389872,0.00322539],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911875,0.00012323249,0.0004299782,0.00009111285,0.00009753376,0.00013940017],"domain_scores_gemma":[0.9973965,0.0018821334,0.00031460344,0.000117680145,0.00018656401,0.00010247406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009597976,0.000088163964,0.00023534136,0.00021343895,0.00024712007,0.000012411347,0.00015247396,0.0001384684,0.00012218094],"category_scores_gemma":[0.0025751458,0.00006807729,0.00010775086,0.00016961222,0.000102401274,0.00012072372,0.00002111106,0.00026198293,0.000009056542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017398508,0.000130133,0.000032783366,0.000014812157,0.00008402213,0.000006457144,0.0014223611,0.0000032065964,0.0017574206,0.98498386,0.009356636,0.0020342919],"study_design_scores_gemma":[0.00476668,0.0017373287,0.0035043822,0.000085809625,0.00047068848,0.0032092435,0.0027685189,0.00049851,0.005650744,0.9037077,0.07308787,0.0005125346],"about_ca_topic_score_codex":3.5793335e-7,"about_ca_topic_score_gemma":4.908742e-7,"teacher_disagreement_score":0.0812762,"about_ca_system_score_codex":0.000015869631,"about_ca_system_score_gemma":0.000116662944,"threshold_uncertainty_score":0.30828762},"labels":[],"label_agreement":null},{"id":"W1966843702","doi":"10.2140/agt.2004.4.297","title":"Cubulating spaces with walls","year":2004,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":96,"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; Cube (algebra); Pure mathematics; Geometry; Combinatorics","score_opus":0.026086852095136604,"score_gpt":0.2807478107663255,"score_spread":0.2546609586711889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966843702","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9524078,0.0008454594,0.029060446,0.0044601406,0.0005870311,0.00045585984,0.00000691384,0.0004362616,0.011740095],"genre_scores_gemma":[0.9713422,0.000044243694,0.025490783,0.00068811054,0.00030081207,0.00004568845,0.000010559432,0.00007765547,0.0019999323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966907,0.00012302489,0.00066925405,0.0007939084,0.00051303214,0.001210065],"domain_scores_gemma":[0.99680173,0.0015631812,0.0004059028,0.000775244,0.00016762313,0.00028630873],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00061706436,0.0004899093,0.00085507135,0.002191699,0.00030679654,0.00005955289,0.0006050045,0.0003802388,0.001538415],"category_scores_gemma":[0.0020846291,0.00038646895,0.00016452157,0.0055442993,0.00055807113,0.00020658699,0.00022362526,0.00053477654,0.0004190257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065428096,0.00046055793,0.012073664,0.000085630294,0.0003335627,0.00029109954,0.0007494701,0.000107727,0.000116259296,0.96956205,0.0014528689,0.014701692],"study_design_scores_gemma":[0.0048265695,0.0018221086,0.015369129,0.00005774049,0.00024799362,0.0014452857,0.0015460802,0.000011656355,0.002112437,0.9641715,0.0072633945,0.0011260593],"about_ca_topic_score_codex":0.00047349493,"about_ca_topic_score_gemma":0.00014145831,"teacher_disagreement_score":0.018934423,"about_ca_system_score_codex":0.00017580361,"about_ca_system_score_gemma":0.0002060641,"threshold_uncertainty_score":0.99985874},"labels":[],"label_agreement":null},{"id":"W1967092327","doi":"10.1016/j.top.2004.07.002","title":"Boundary slopes and the logarithmic limit set","year":2004,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Limit set; Logarithm; Boundary (topology); Limit (mathematics); Mathematical analysis; Geometry","score_opus":0.033545946275229444,"score_gpt":0.29532652376965945,"score_spread":0.26178057749443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967092327","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92851895,0.001596201,0.0058827973,0.042857673,0.0006000681,0.00037247763,0.000007762726,0.00013817192,0.020025881],"genre_scores_gemma":[0.99206066,0.00010038559,0.0037147447,0.0016601253,0.00014375073,0.000019564743,0.000002319635,0.0000133141275,0.0022851208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917394,0.00009668437,0.0001926699,0.00018537673,0.000074510885,0.0002768219],"domain_scores_gemma":[0.99907184,0.00053694553,0.0000689879,0.00025119385,0.000024325467,0.00004671956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003486761,0.000115429015,0.00027277862,0.000094999144,0.00018270235,0.000018015042,0.00018152698,0.00012887301,0.00037606843],"category_scores_gemma":[0.0005227974,0.00007276343,0.000048974856,0.0001581209,0.0012660791,0.000033827975,0.00012986314,0.00020075604,0.000099444886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036463298,0.000026543337,0.00020655271,0.00001264428,0.000036719426,0.000018433759,0.0008821127,0.0000011198102,0.000011703708,0.994404,0.0017441034,0.0026195617],"study_design_scores_gemma":[0.0021101404,0.0000880692,0.0009098404,0.0000034275897,0.000036665493,0.00035033346,0.00049469585,0.0000035962332,0.000083021674,0.9722322,0.023594646,0.000093347815],"about_ca_topic_score_codex":0.00018187484,"about_ca_topic_score_gemma":0.00009906804,"teacher_disagreement_score":0.06354171,"about_ca_system_score_codex":0.00002218272,"about_ca_system_score_gemma":0.000055534994,"threshold_uncertainty_score":0.46649215},"labels":[],"label_agreement":null},{"id":"W1967811744","doi":"10.1016/j.topol.2005.03.016","title":"Nielsen periodic point theory for periodic maps on orientable surfaces","year":2005,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Memorial University of Newfoundland","keywords":"Mathematics; Periodic point; Combinatorics; Class (philosophy); Period (music); Trichotomy (philosophy); Point (geometry); Mathematical analysis; Discrete mathematics; Geometry; Physics","score_opus":0.02663558953784017,"score_gpt":0.30391209327030716,"score_spread":0.277276503732467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967811744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8868655,0.004122406,0.036834784,0.02625106,0.00031734596,0.0029877238,0.0002637883,0.00036707846,0.04199029],"genre_scores_gemma":[0.9814522,0.000121492296,0.004017299,0.00072632334,0.00020233545,0.00056099053,0.000027802454,0.000018315623,0.012873186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990728,0.000051338786,0.0002272444,0.0002984286,0.00006144204,0.00028875086],"domain_scores_gemma":[0.99855644,0.0009602487,0.00008869988,0.0002605305,0.000053617507,0.00008049287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003323214,0.00013962146,0.00022963423,0.00012053821,0.00044907015,0.00001694266,0.00015109831,0.00015061915,0.0008293215],"category_scores_gemma":[0.00022019637,0.000119186705,0.000051782637,0.00016796835,0.00022880232,0.000057646368,0.000045502915,0.0001310618,0.00016534394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025587773,0.00013416489,0.00010346814,0.000024384715,0.000025461442,2.1857986e-7,0.00048326887,0.0000039214196,0.00010619318,0.98842084,0.004730682,0.0059417924],"study_design_scores_gemma":[0.0006825055,0.00020947157,0.00039174716,0.000005835071,0.000067203684,0.000036033594,0.0012960096,0.000114069095,0.001030156,0.65481305,0.3411447,0.00020922172],"about_ca_topic_score_codex":0.0000049040855,"about_ca_topic_score_gemma":0.000015134539,"teacher_disagreement_score":0.33641404,"about_ca_system_score_codex":0.000024350886,"about_ca_system_score_gemma":0.00003652954,"threshold_uncertainty_score":0.9080489},"labels":[],"label_agreement":null},{"id":"W1968310762","doi":"10.4153/cmb-2006-033-3","title":"Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Polygon (computer graphics); Euclidean geometry; Hadamard transform; Boundary (topology); Gauss; Euclidean space; Space (punctuation); Pure mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.011007496018088574,"score_gpt":0.21996805010542367,"score_spread":0.2089605540873351,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968310762","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93415725,0.00030692248,0.0016555998,0.030210648,0.000053481792,0.0005775839,0.000025526491,0.00009300495,0.03291998],"genre_scores_gemma":[0.9712552,0.0000031721188,0.019093491,0.00042779857,0.00007566523,0.00003585665,0.000005077919,0.000048395792,0.009055344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982771,0.00006230734,0.00039212982,0.00035639998,0.00020394733,0.0007081067],"domain_scores_gemma":[0.99851984,0.0006324147,0.00008692018,0.00030017452,0.00004020715,0.00042046007],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003815115,0.00025265454,0.00045207646,0.00043446213,0.00010092977,0.000087231805,0.00020041913,0.0001619891,0.00419952],"category_scores_gemma":[0.00050328247,0.00020653704,0.000044935307,0.00032483667,0.00026872146,0.000032785512,0.000046595036,0.00025228152,0.0006363391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001681721,0.000100665,0.0033523198,0.00024899587,0.000024681165,0.00024608205,0.0003531574,0.0000020579869,0.000022267075,0.92899317,0.06634051,0.00029927114],"study_design_scores_gemma":[0.0013115861,0.0001576511,0.0048315325,0.00029116997,0.00007236821,0.00021360588,0.0007810581,0.00007520893,0.00013469295,0.8523132,0.13916767,0.0006502175],"about_ca_topic_score_codex":0.010697181,"about_ca_topic_score_gemma":0.023482429,"teacher_disagreement_score":0.07667994,"about_ca_system_score_codex":0.00010381507,"about_ca_system_score_gemma":0.00012172142,"threshold_uncertainty_score":0.9967108},"labels":[],"label_agreement":null},{"id":"W1969104124","doi":"10.1017/s0305004105008790","title":"Homologous non-isotopic symplectic tori in homotopy rational elliptic surfaces","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; McMaster University","funders":"","keywords":"Symplectic geometry; Fibered knot; Homology (biology); Homotopy; Knot (papermaking); Torus; Symplectic representation; Tricolorability","score_opus":0.020479010081621153,"score_gpt":0.25654562227330907,"score_spread":0.23606661219168792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969104124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97339594,0.00007441972,0.00053913443,0.01141856,0.00013608951,0.00070291327,0.000010023072,0.000077538716,0.013645374],"genre_scores_gemma":[0.99296886,0.0000074022005,0.0054784985,0.00019869553,0.0003534314,0.00006533794,0.0000020368261,0.000037553436,0.00088818645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739677,0.000024851044,0.00093420787,0.00043452875,0.00065496325,0.00055470166],"domain_scores_gemma":[0.99825907,0.00084530696,0.00034996678,0.0002440795,0.00020605714,0.00009553085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00079125015,0.00032768562,0.00071907864,0.000084172934,0.00017978661,0.000047272435,0.00066239043,0.0003387634,0.00008866508],"category_scores_gemma":[0.0008664206,0.00023058761,0.00048437307,0.0009762407,0.0005868043,0.0001402045,0.00028507863,0.00059070846,0.000027712804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012487692,0.0006349019,0.0039991415,0.0006099829,0.00004423506,0.0000016025626,0.00015878942,0.0000073069195,0.002417355,0.98806614,0.004025549,0.000022526809],"study_design_scores_gemma":[0.0006918572,0.00010125452,0.0076367822,0.000109164066,0.000072782605,0.00005133119,0.00010694017,0.0019791212,0.002261392,0.98668796,0.000044004035,0.00025741683],"about_ca_topic_score_codex":0.000022506734,"about_ca_topic_score_gemma":0.0000012984354,"teacher_disagreement_score":0.01957291,"about_ca_system_score_codex":0.00016142709,"about_ca_system_score_gemma":0.000056271023,"threshold_uncertainty_score":0.940309},"labels":[],"label_agreement":null},{"id":"W1969247634","doi":"10.1016/j.jalgebra.2011.06.005","title":"On the Kurosh problem for algebras of polynomial growth over a general field","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Polynomial; Pure mathematics; Field (mathematics); Algebra over a field; Mathematical analysis","score_opus":0.04926333943051732,"score_gpt":0.28246230971356395,"score_spread":0.23319897028304665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969247634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.989209,0.00008522353,0.004710054,0.0015140983,0.0004489293,0.00027493053,0.000006895144,0.000010494023,0.0037403903],"genre_scores_gemma":[0.9816077,0.000016420443,0.016356006,0.00091490766,0.0004167721,0.0000076271526,3.365739e-7,0.000025208963,0.00065505225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985916,0.00007322302,0.00068190385,0.00011760078,0.0002742996,0.00026136154],"domain_scores_gemma":[0.9973042,0.0014289413,0.00075869384,0.0002144969,0.00020989032,0.00008379187],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070106,0.00015537735,0.00040121019,0.0002378966,0.00006719572,0.000012867936,0.00041501725,0.00012674394,0.0006993328],"category_scores_gemma":[0.0013328705,0.00009300765,0.00033056954,0.00022570396,0.000083117826,0.000093179784,0.000052232983,0.0002785681,0.0000054283537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047851403,0.0003957714,0.0012074666,0.000072663766,0.00025896975,0.000013490897,0.0013252139,4.772978e-7,0.0006525143,0.82241094,0.17199415,0.0011898412],"study_design_scores_gemma":[0.0015137474,0.002372905,0.0027122903,0.00006328276,0.00014661223,0.000101986225,0.00015987387,0.00001680203,0.025557848,0.9663566,0.00083195587,0.00016611937],"about_ca_topic_score_codex":0.000022616277,"about_ca_topic_score_gemma":0.000004251694,"teacher_disagreement_score":0.1711622,"about_ca_system_score_codex":0.000022824643,"about_ca_system_score_gemma":0.000095608026,"threshold_uncertainty_score":0.76572037},"labels":[],"label_agreement":null},{"id":"W1969944193","doi":"10.1007/s00493-011-2563-1","title":"On planarity of compact, locally connected, metric spaces","year":2011,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Geometric and Algebraic Topology","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; Disjoint sets; Planarity testing; Social connectedness; Metric space; Compact space; Metric (unit); Combinatorics; Space (punctuation); Disjoint union (topology); Surface (topology); Locally compact space; Pure mathematics; Geometry","score_opus":0.06910947974797159,"score_gpt":0.2846020704323632,"score_spread":0.21549259068439158,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969944193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8931276,0.00025544042,0.0017503247,0.00018018627,0.00059222005,0.00023332007,0.0000096401845,0.00014114677,0.10371012],"genre_scores_gemma":[0.9988839,0.00001272289,0.00055833056,0.000058000416,0.000012484563,0.0000028439238,0.000001805067,0.000015875725,0.00045402758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989243,0.00008327908,0.00029308494,0.00020042487,0.000239559,0.0002593568],"domain_scores_gemma":[0.99807674,0.001103719,0.00021021225,0.00038642518,0.00011295913,0.00010997682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023639985,0.00015364407,0.00041789873,0.0004358176,0.00005670111,0.000006289,0.0003131246,0.0001178052,0.00062797504],"category_scores_gemma":[0.0013221917,0.00012911968,0.00008584947,0.0011570499,0.000113163645,0.00003687556,0.000051529427,0.00019175284,0.00008204256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043008382,0.0007657782,0.0037396697,0.0000523296,0.000059917893,0.000018241886,0.00028829725,2.8888243e-7,0.000010696093,0.98110414,0.013568122,0.00034948892],"study_design_scores_gemma":[0.000965899,0.0008224144,0.013151464,0.000021322336,0.000049733862,0.000013274409,0.00015891907,0.000022003582,0.0022256572,0.98121,0.0011693712,0.0001899213],"about_ca_topic_score_codex":0.00014281423,"about_ca_topic_score_gemma":0.0000033570263,"teacher_disagreement_score":0.10575631,"about_ca_system_score_codex":0.000041386436,"about_ca_system_score_gemma":0.00004088866,"threshold_uncertainty_score":0.68758863},"labels":[],"label_agreement":null},{"id":"W1969992558","doi":"10.1142/s0218216512501167","title":"KNOTTED 2-SPHERES IN TUBES IN Z<sup>4</sup>","year":2012,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 Toronto; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"SPHERES; Mathematics; Sketch; Tube (container); Argument (complex analysis); Combinatorics; Pure mathematics; Physics; Materials science; Chemistry; Algorithm; Composite material","score_opus":0.03739010977279499,"score_gpt":0.31299415700790284,"score_spread":0.27560404723510784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969992558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9944378,0.0029922083,0.0007797784,0.00051385176,0.00008239681,0.00009329181,0.0000029768942,0.0000075751736,0.0010901176],"genre_scores_gemma":[0.9985015,0.00018620398,0.0006559928,0.00007114614,0.00012511967,0.0000040292293,7.8235007e-7,0.000009595401,0.0004456345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987434,0.00033414646,0.0005201578,0.0000754539,0.00010677746,0.00022006061],"domain_scores_gemma":[0.9980872,0.0014823901,0.0001407216,0.00012102626,0.000073151656,0.000095486794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013490261,0.00009444253,0.0002526575,0.00039950578,0.000049688053,0.00001307785,0.00014548644,0.000090511654,0.00040428835],"category_scores_gemma":[0.0022518062,0.000074749616,0.000051071896,0.00049483223,0.00006339142,0.00025953073,0.000025267407,0.00028726968,0.000018454328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053462674,0.0005002919,0.019321758,0.00003174154,0.000029885041,0.000004459776,0.0035680346,0.000033447377,0.00035236226,0.9720342,0.0005490973,0.003521262],"study_design_scores_gemma":[0.0019932396,0.00017245967,0.08660228,0.00017780345,0.000100922,0.0003115931,0.02136133,0.00054408977,0.0010545127,0.88183385,0.005523134,0.00032479037],"about_ca_topic_score_codex":0.000002858624,"about_ca_topic_score_gemma":0.0000061423452,"teacher_disagreement_score":0.09020035,"about_ca_system_score_codex":0.000029520615,"about_ca_system_score_gemma":0.000040373165,"threshold_uncertainty_score":0.4426674},"labels":[],"label_agreement":null},{"id":"W1970728933","doi":"10.1007/s00208-010-0627-y","title":"Braid groups and Kleinian singularities","year":2010,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"University of New Brunswick","funders":"","keywords":"Mathematics; Braid group; Braid; Pure mathematics; Gravitational singularity; Singularity; Type (biology); Braid theory; Triangulated category; Space (punctuation); Group (periodic table); Derived category; Mathematical analysis; Computer science","score_opus":0.03004878835128355,"score_gpt":0.2974826299148391,"score_spread":0.26743384156355554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970728933","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97466123,0.00018556253,0.002362041,0.001536571,0.00021366456,0.00017703042,0.00000970545,0.00017079196,0.020683406],"genre_scores_gemma":[0.95405,0.000017714216,0.039180193,0.00024686323,0.00021709928,0.000020096279,0.0000033646559,0.00003848769,0.006226185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888474,0.000035807727,0.00029255697,0.0002600724,0.00019591869,0.00033090828],"domain_scores_gemma":[0.9988172,0.00048860005,0.0001169522,0.00039678474,0.00005485369,0.00012562372],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000492748,0.00019310665,0.00032676745,0.0001750784,0.00014717612,0.00006787014,0.00021506345,0.0001708764,0.00091156247],"category_scores_gemma":[0.00085315347,0.00016398903,0.00007007043,0.0001965911,0.00022165792,0.00014603847,0.00013797868,0.00035600032,0.00011992289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006361043,0.0001352824,0.0015939396,0.00024936724,0.000062003135,0.000024764577,0.0024666989,1.9637945e-8,0.0035857812,0.97608054,0.00792645,0.00786878],"study_design_scores_gemma":[0.00040423186,0.00006971085,0.0032935017,0.000035007364,0.000045142024,0.00029809008,0.00048441262,0.000038893755,0.0023867507,0.9738141,0.018830879,0.0002992921],"about_ca_topic_score_codex":0.000011896098,"about_ca_topic_score_gemma":0.000044597036,"teacher_disagreement_score":0.03681815,"about_ca_system_score_codex":0.000003895906,"about_ca_system_score_gemma":0.00002147809,"threshold_uncertainty_score":0.998097},"labels":[],"label_agreement":null},{"id":"W1971019590","doi":"10.2140/gt.2012.16.2285","title":"Homomorphisms between mapping class groups","year":2012,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Galway; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Homomorphism; Endomorphism; Genus; Boundary (topology); Mapping class group; Class (philosophy)","score_opus":0.06992554137254166,"score_gpt":0.3081743104276521,"score_spread":0.23824876905511044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971019590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96441925,0.000916762,0.017565427,0.0016621725,0.0021147036,0.00028738054,0.000022601105,0.000264616,0.012747086],"genre_scores_gemma":[0.98953235,0.000023897186,0.0062548383,0.00046364122,0.0017676331,0.000039797156,0.000025819045,0.00004831968,0.0018437247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972146,0.0002048169,0.0005871554,0.00038328773,0.00026530153,0.001344841],"domain_scores_gemma":[0.9968437,0.0018855752,0.000250331,0.00062243216,0.00006741373,0.00033056297],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010033804,0.0003174819,0.0007355887,0.0009911901,0.000214714,0.0000179435,0.0004610754,0.00046681226,0.0030390008],"category_scores_gemma":[0.0012860242,0.0002977796,0.00018602544,0.0014873781,0.00039686574,0.00018970156,0.00030843625,0.0004988437,0.0010413106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009598954,0.0002465534,0.28187957,0.000082221755,0.00023607942,0.000020544194,0.0007672816,4.02089e-7,0.00016009709,0.6929366,0.0105670085,0.013094061],"study_design_scores_gemma":[0.001685863,0.00035353604,0.2802154,0.000025315976,0.0002714561,0.00050142576,0.0024765013,0.0000076105757,0.0012330392,0.4800294,0.23205051,0.001149924],"about_ca_topic_score_codex":0.000058949172,"about_ca_topic_score_gemma":0.0000050685667,"teacher_disagreement_score":0.2214835,"about_ca_system_score_codex":0.000095298565,"about_ca_system_score_gemma":0.000033508986,"threshold_uncertainty_score":0.9999474},"labels":[],"label_agreement":null},{"id":"W1971727877","doi":"10.1142/s0218196711006789","title":"APPROXIMATION OF GEODESICS IN METABELIAN GROUPS","year":2011,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"Geodesic; Abelian group; Wreath product; Bounded function; Product (mathematics); Polynomial; Group (periodic table); Finitely generated group; Finitely-generated abelian group","score_opus":0.05927282058742664,"score_gpt":0.3090718711445997,"score_spread":0.24979905055717308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971727877","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88743985,0.00010401175,0.1112858,0.0001413885,0.00029699443,0.000045629324,0.0000012009702,0.0000043731966,0.0006807613],"genre_scores_gemma":[0.97420293,0.000035236957,0.025661016,0.000027871192,0.000055081855,7.6011446e-7,0.0000018260604,0.000005237225,0.000010052918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905217,0.000048926235,0.00051572674,0.00006560106,0.0002499498,0.0000676231],"domain_scores_gemma":[0.99896914,0.00016271447,0.00049607694,0.00003484897,0.00030721803,0.00003002658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039784593,0.00006435723,0.00017859649,0.00047266396,0.000010456212,0.000009596006,0.00013441767,0.000044036027,0.000035500467],"category_scores_gemma":[0.0001805398,0.00005579353,0.00005010119,0.00016370276,0.000043397784,0.00019746614,0.000026516873,0.00009267146,0.0000010811415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025041364,0.00063599146,0.023641082,0.0000651174,0.00031594207,0.00005326358,0.0064730532,0.0001176574,0.00058599655,0.8404514,0.0001798335,0.12723026],"study_design_scores_gemma":[0.0009985683,0.00017074333,0.058407128,0.000054456486,0.000031976208,0.00013858953,0.00063300086,0.00166627,0.0014650353,0.9363425,0.000019034274,0.00007274337],"about_ca_topic_score_codex":0.000017815422,"about_ca_topic_score_gemma":0.0000050883245,"teacher_disagreement_score":0.12715751,"about_ca_system_score_codex":0.000021889788,"about_ca_system_score_gemma":0.000028515151,"threshold_uncertainty_score":0.22751941},"labels":[],"label_agreement":null},{"id":"W1971729261","doi":"10.1090/s0002-9947-07-04125-6","title":"An analogue of the Descartes-Euler formula for infinite graphs and Higuchi’s conjecture","year":2007,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Ministrstvo za Izobraževanje, Znanost in Šport","keywords":"Mathematics; Conjecture; Euler's formula; Combinatorics; Euler characteristic; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.02269144876002662,"score_gpt":0.30189247262280783,"score_spread":0.27920102386278123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971729261","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64510643,0.000018079465,0.35377184,0.0005093033,0.000046716224,0.00034740023,0.000042559164,0.000024685896,0.00013295925],"genre_scores_gemma":[0.9540788,0.000010072966,0.045632806,0.00015055701,0.0000130246635,0.00001390126,7.552181e-7,0.000018771427,0.00008131292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988518,0.000057541565,0.0004478646,0.0001609594,0.00021776557,0.00026407882],"domain_scores_gemma":[0.99704295,0.0019227945,0.00036477883,0.0005152331,0.00008094773,0.000073296185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060167356,0.00015626896,0.00044729206,0.000045905053,0.00019699252,0.000007611295,0.00035653572,0.00008265571,0.000044880813],"category_scores_gemma":[0.00019436431,0.00008656977,0.0005547774,0.0007224896,0.0012276116,0.000052319243,0.00001836112,0.0002067451,4.2656754e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019985517,0.0024879454,0.0056410586,0.0018405545,0.0015998005,4.637755e-7,0.01777558,0.00018458429,0.011940408,0.92896295,0.0016121493,0.027754627],"study_design_scores_gemma":[0.0007690361,0.00040044653,0.012157189,0.000061538536,0.00051484694,0.000030760613,0.004465162,0.0011497836,0.00818033,0.9719255,0.00012785956,0.00021757043],"about_ca_topic_score_codex":0.00004626157,"about_ca_topic_score_gemma":0.00002555749,"teacher_disagreement_score":0.30897233,"about_ca_system_score_codex":0.000018337547,"about_ca_system_score_gemma":0.00003236715,"threshold_uncertainty_score":0.45231858},"labels":[],"label_agreement":null},{"id":"W1972566807","doi":"10.1090/s0894-0347-2012-00756-5","title":"Lagrangian cobordism. I","year":2012,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Cobordism; Mathematics; Lagrangian; Monotone polygon; Floer homology; Pure mathematics; Homology (biology); Class (philosophy); Functor; Symplectic geometry; Geometry; Computer science","score_opus":0.027607994070839713,"score_gpt":0.3118931982972398,"score_spread":0.28428520422640013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972566807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95943975,0.0002221832,0.028837083,0.006598677,0.0004195092,0.00014018908,0.0000028220531,0.000029019078,0.0043107914],"genre_scores_gemma":[0.9462283,0.00002102315,0.05157395,0.0011390313,0.000469437,0.0000016859458,6.415794e-8,0.0000214369,0.0005450244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843234,0.00012568479,0.00052504754,0.00006607447,0.0004557756,0.00039506602],"domain_scores_gemma":[0.99745893,0.0010311385,0.0009242565,0.0002932595,0.00009383973,0.00019857907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012210474,0.00013973932,0.0005187199,0.000034759374,0.00011319511,0.000016297461,0.0004754692,0.00004922596,0.00025815368],"category_scores_gemma":[0.0011653623,0.0000741424,0.00078531465,0.0005875714,0.00047630593,0.00011189616,0.00012454978,0.0003784366,0.00004414828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005791437,0.0022983297,0.02263927,0.0003172297,0.0012384905,0.000006477995,0.010720195,0.000004261599,0.0012900007,0.61299795,0.33879042,0.0096394615],"study_design_scores_gemma":[0.00074670283,0.0002424387,0.018255156,0.00009873738,0.00049690716,0.000807105,0.006935623,0.00008314325,0.0007011374,0.9561352,0.015148155,0.00034967216],"about_ca_topic_score_codex":0.0000027011577,"about_ca_topic_score_gemma":1.5809157e-7,"teacher_disagreement_score":0.34313726,"about_ca_system_score_codex":0.00006779613,"about_ca_system_score_gemma":0.00003919569,"threshold_uncertainty_score":0.30234393},"labels":[],"label_agreement":null},{"id":"W1973160280","doi":"10.1016/j.disc.2005.02.020","title":"Flows that are sums of hamiltonian cycles in Cayley graphs on abelian groups","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Geometric and Algebraic Topology","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":"","keywords":"Mathematics; Cayley graph; Abelian group; Combinatorics; Hamiltonian (control theory); Hamiltonian path; Graph; Discrete mathematics","score_opus":0.04186396644668725,"score_gpt":0.2956952100526406,"score_spread":0.2538312436059533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973160280","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99002594,0.00014946893,0.0010033771,0.0007389343,0.00011549863,0.000395878,0.000045530356,0.00009180376,0.007433555],"genre_scores_gemma":[0.9756709,0.00005369893,0.023538578,0.00011521662,0.000056125144,0.00002798077,0.000008715872,0.00005854836,0.00047023658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790597,0.00007146619,0.0007385793,0.0003294391,0.00045642362,0.00049811567],"domain_scores_gemma":[0.99798894,0.0006628161,0.0004498795,0.0007302447,0.000049115417,0.00011902937],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051325816,0.00033454568,0.0007499798,0.00060069445,0.00006746669,0.000025012578,0.00043037292,0.00020659043,0.00021986365],"category_scores_gemma":[0.00049642124,0.0002726831,0.00020902943,0.0006526946,0.00014562588,0.00010666083,0.00010232029,0.00028569938,0.00009457431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040758372,0.0012030086,0.015379903,0.0012463223,0.00016480431,0.00006058076,0.010763735,0.000110082176,0.00044144958,0.9642129,0.0020990463,0.0042774435],"study_design_scores_gemma":[0.0019905502,0.00025056087,0.013623271,0.00089680526,0.00012836246,0.0000504523,0.008641039,0.0034127848,0.0061685387,0.9630836,0.0008793142,0.00087470503],"about_ca_topic_score_codex":0.000033273278,"about_ca_topic_score_gemma":0.00053363503,"teacher_disagreement_score":0.022535201,"about_ca_system_score_codex":0.000060251856,"about_ca_system_score_gemma":0.000024917115,"threshold_uncertainty_score":0.9999725},"labels":[],"label_agreement":null},{"id":"W1973330846","doi":"10.1142/s0218216506005007","title":"ANY TANGLE EXTENDS TO NON-MUTANT KNOTS WITH THE SAME JONES POLYNOMIAL","year":2006,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Tangle; Jones polynomial; Mathematics; Prime (order theory); Knot polynomial; HOMFLY polynomial; Combinatorics; Alexander polynomial; Polynomial; Knot (papermaking); Knot theory; Pure mathematics; Skein relation; Matrix polynomial; Mathematical analysis","score_opus":0.014932539900451848,"score_gpt":0.2720562513695528,"score_spread":0.25712371146910096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973330846","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9726238,0.0006878538,0.01607278,0.008179431,0.00015529653,0.00018781671,0.000013822793,0.00001482574,0.0020643605],"genre_scores_gemma":[0.9946582,0.000029535362,0.0011307972,0.00024454974,0.00037745424,0.0000064237925,8.4601305e-7,0.000014572824,0.0035376628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902344,0.0001374954,0.00036304997,0.00011495172,0.00016895171,0.00019213036],"domain_scores_gemma":[0.99825555,0.0009534192,0.0003029432,0.00019771843,0.00019452142,0.00009584137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093515497,0.00012178414,0.00023659828,0.00021708751,0.00024965024,0.000043398726,0.00023171073,0.000057919147,0.00011671613],"category_scores_gemma":[0.00039813426,0.00006809682,0.00006717958,0.00044335861,0.00011210433,0.00011133078,0.000030374264,0.00019867696,0.000017833187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025168792,0.00035511027,0.0001508743,0.000021061553,0.00009970899,0.000016338374,0.0014666456,0.000049030026,0.01056992,0.97119933,0.012146061,0.003674217],"study_design_scores_gemma":[0.0036920647,0.002200244,0.08720363,0.0002504427,0.0009302782,0.0026383246,0.011175199,0.00020750907,0.012908204,0.780323,0.09751211,0.00095896336],"about_ca_topic_score_codex":0.0000041171816,"about_ca_topic_score_gemma":0.000011961852,"teacher_disagreement_score":0.19087632,"about_ca_system_score_codex":0.000022458893,"about_ca_system_score_gemma":0.00007485039,"threshold_uncertainty_score":0.2776908},"labels":[],"label_agreement":null},{"id":"W1973596808","doi":"10.1090/s0002-9947-2014-06065-0","title":"Cubular tubular groups","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Computer science; Semantics (computer science); Artificial intelligence; Mathematics; Programming language","score_opus":0.017141031382946335,"score_gpt":0.2712733742336532,"score_spread":0.2541323428507069,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973596808","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3503953,0.000012277653,0.6461624,0.0013678293,0.00006502973,0.00017017573,0.0000052327623,0.00008088247,0.0017408972],"genre_scores_gemma":[0.93527573,0.000010888471,0.06367144,0.00027985423,0.000041322925,0.000018757337,3.3410984e-7,0.000026317131,0.0006753557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863094,0.00012975934,0.00040455145,0.00019792625,0.00034003184,0.00029680986],"domain_scores_gemma":[0.9979025,0.0010088577,0.00026638206,0.00067850313,0.000057218014,0.000086551074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005175704,0.0001689237,0.0005053626,0.000034686338,0.00018363651,0.000010179978,0.00047046147,0.00006277926,0.0004885011],"category_scores_gemma":[0.00030055738,0.00011158948,0.00064898847,0.0007424407,0.0009340148,0.000045738754,0.000027913376,0.00026425428,0.000041582418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032858792,0.0017726213,0.00053471455,0.00076259865,0.0008182297,7.2195803e-7,0.003873156,0.00013353104,0.0048008985,0.9643144,0.0057493225,0.01720692],"study_design_scores_gemma":[0.00037069086,0.0001778568,0.00067965727,0.00003858647,0.00026946914,0.000027592803,0.0012019245,0.0030958697,0.0034065344,0.98933756,0.0011643784,0.00022986972],"about_ca_topic_score_codex":0.000024703357,"about_ca_topic_score_gemma":0.0000014020155,"teacher_disagreement_score":0.5848804,"about_ca_system_score_codex":0.000032211847,"about_ca_system_score_gemma":0.000021742211,"threshold_uncertainty_score":0.53487444},"labels":[],"label_agreement":null},{"id":"W1973774737","doi":"10.4153/cjm-2000-013-6","title":"Floer Homology for Knots and SU(2)-Representations for Knot Complements and Cyclic Branched Covers","year":2000,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Floer homology; Knot (papermaking); Knot invariant; Abelian group; Equivariant map; Knot theory; Pure mathematics; Tricolorability; Homology (biology); Combinatorics; Symplectic geometry","score_opus":0.05793695718660915,"score_gpt":0.32901446011092883,"score_spread":0.2710775029243197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973774737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9742516,0.00037203316,0.02185587,0.0018753511,0.0001825671,0.00059575005,0.00013610447,0.000007270284,0.0007234296],"genre_scores_gemma":[0.91913766,0.000044509925,0.07903073,0.00026229917,0.00013598228,0.000022357917,0.000008121172,0.000034412555,0.001323917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989383,0.000028860977,0.00050487864,0.00011862775,0.000086518696,0.000322799],"domain_scores_gemma":[0.99780977,0.0013277787,0.00023518794,0.00013640322,0.0001394228,0.00035145102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040029013,0.00013187977,0.00039638634,0.0002869173,0.0001898198,0.00004728676,0.00013604309,0.00008786854,0.00037488271],"category_scores_gemma":[0.00084820524,0.00012061365,0.000085108986,0.00012138059,0.00016647672,0.00007948355,0.0000083329605,0.00009587675,0.0000032410605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014480906,0.00052189536,0.0068113958,0.0021155656,0.0015659796,0.00015690357,0.019615699,0.0000814483,0.00044130426,0.7975157,0.12255826,0.048471045],"study_design_scores_gemma":[0.004984084,0.00055246253,0.0015786724,0.00011010353,0.000437133,0.0013587949,0.0027472842,0.00081095536,0.00020842614,0.9393158,0.047546733,0.000349582],"about_ca_topic_score_codex":0.00018607455,"about_ca_topic_score_gemma":0.002068184,"teacher_disagreement_score":0.14180008,"about_ca_system_score_codex":0.000041539883,"about_ca_system_score_gemma":0.00020727259,"threshold_uncertainty_score":0.4918482},"labels":[],"label_agreement":null},{"id":"W1974688296","doi":"10.1016/j.aim.2010.01.011","title":"Coxeter groups are virtually special","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":91,"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":"Coxeter group; Mathematics; Artin group; Quasiconvex function; Longest element of a Coxeter group; Coxeter complex; Combinatorics; Point group; Coxeter element; Group (periodic table); Pure mathematics; Geometry; Regular polygon; Subderivative","score_opus":0.016717181070527592,"score_gpt":0.30204289805838647,"score_spread":0.28532571698785886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974688296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8772422,0.00023395823,0.013932445,0.00037737624,0.0026921094,0.00048220064,0.000014432352,0.00017921525,0.10484606],"genre_scores_gemma":[0.8239532,0.00014653752,0.17134377,0.0001984417,0.001778703,0.000048654412,0.0000034806633,0.000068112175,0.0024590604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985156,0.000028716811,0.0005275899,0.00025969595,0.00028422294,0.0003841439],"domain_scores_gemma":[0.9980638,0.0010339697,0.00028249307,0.00048309527,0.000055878612,0.00008073946],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00043014582,0.00021686305,0.00043313132,0.00022581835,0.00006441162,0.000026056961,0.0003898994,0.00016472614,0.0014145205],"category_scores_gemma":[0.0017661246,0.00018577297,0.00008426886,0.00041839565,0.00018516184,0.00025454766,0.00010735845,0.0004848629,0.00021364982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000075888447,0.00040641704,0.002088546,0.0001980215,0.000011765047,0.000055597495,0.0011435142,0.0000036153267,0.00013171915,0.98711795,0.0010572358,0.00777802],"study_design_scores_gemma":[0.00046766468,0.0000388172,0.0006804345,0.000044460186,0.000015416617,0.000061261206,0.00093153224,0.000125739,0.00019798354,0.97982675,0.017365959,0.00024400708],"about_ca_topic_score_codex":9.134428e-7,"about_ca_topic_score_gemma":0.00021426771,"teacher_disagreement_score":0.15741132,"about_ca_system_score_codex":0.000022663575,"about_ca_system_score_gemma":0.000021532456,"threshold_uncertainty_score":0.9994983},"labels":[],"label_agreement":null},{"id":"W1975562561","doi":"10.4153/cmb-2001-044-x","title":"The Lehmer Polynomial and Pretzel Links","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":43,"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; Monic polynomial; Combinatorics; Polynomial; Integer (computer science); Measure (data warehouse); Reciprocal polynomial; Discrete mathematics; Matrix polynomial; Mathematical analysis","score_opus":0.022143011956683292,"score_gpt":0.2557539464403832,"score_spread":0.2336109344836999,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975562561","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6316149,0.0010866168,0.0023586985,0.13628246,0.00040862846,0.0009094386,0.000020006679,0.00016834673,0.22715089],"genre_scores_gemma":[0.95414424,0.00010150755,0.002564862,0.0017812992,0.00028809512,0.00004252972,0.0000019397928,0.0000458205,0.041029733],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986359,0.00006514829,0.00031562752,0.00022372862,0.00015509597,0.0006045155],"domain_scores_gemma":[0.9975823,0.0014146037,0.000059871043,0.00035479825,0.00004161693,0.0005467748],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000518714,0.0001698408,0.0002459789,0.00011609974,0.00036250093,0.00008389757,0.00025587584,0.00024658645,0.0071191345],"category_scores_gemma":[0.0020148372,0.000116040545,0.00006457634,0.00018635277,0.00032015654,0.000016225511,0.000053661664,0.00037780093,0.0029710007],"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":[0.000014013734,0.00004125874,0.000356331,0.00004870933,0.000049870272,0.000097330085,0.00035101216,1.4580202e-7,0.0000069047373,0.6339833,0.35419628,0.0108548505],"study_design_scores_gemma":[0.00030082843,0.000041249943,0.00033718985,0.00002197308,0.00003121568,0.0002666226,0.0003173389,0.00006363906,0.000011832319,0.33385924,0.6645562,0.00019264451],"about_ca_topic_score_codex":0.0006032608,"about_ca_topic_score_gemma":0.0016322461,"teacher_disagreement_score":0.3225293,"about_ca_system_score_codex":0.000062166284,"about_ca_system_score_gemma":0.00011367659,"threshold_uncertainty_score":0.9978053},"labels":[],"label_agreement":null},{"id":"W1976096773","doi":"10.1007/s11005-012-0588-z","title":"The Remodeling Conjecture and the Faber–Pandharipande Formula","year":2012,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission; University of Alberta; U.S. Department of Energy","keywords":"Conjecture; Recursion (computer science); Genus; Complex system; Simple (philosophy)","score_opus":0.030322809253271445,"score_gpt":0.28819640363370086,"score_spread":0.2578735943804294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976096773","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6302447,0.0006737471,0.33832747,0.024559284,0.0003082287,0.0008677906,0.0000031873496,0.00009205688,0.0049235835],"genre_scores_gemma":[0.9912654,0.000021033955,0.006183119,0.0020413115,0.00031976026,0.00003545411,8.148756e-7,0.000023281953,0.000109780085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99864435,0.00013997927,0.00034493132,0.00013931534,0.00023247994,0.0004989456],"domain_scores_gemma":[0.99502516,0.004413881,0.000107376014,0.00037514977,0.000014771534,0.00006365322],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012237085,0.00017448135,0.00032926755,0.000027658743,0.00022861903,0.00005392345,0.00024664207,0.00007729215,0.000016198963],"category_scores_gemma":[0.00085022126,0.000083828185,0.00009026547,0.000221238,0.00046823328,0.00010040113,0.00012754784,0.00040313133,0.000022596498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017057822,0.000049034246,0.00020971434,0.00005814051,0.000025770625,8.198446e-7,0.0019735582,0.000005574284,0.000044713517,0.9924709,0.0011493375,0.0039953543],"study_design_scores_gemma":[0.0008628521,0.0000058250066,0.00008650213,0.000025284431,0.000041963027,0.000021635058,0.00032741926,0.0028754019,0.00007521213,0.99510556,0.00045090224,0.000121429126],"about_ca_topic_score_codex":0.000004713546,"about_ca_topic_score_gemma":0.0000015610287,"teacher_disagreement_score":0.3610208,"about_ca_system_score_codex":0.000025161458,"about_ca_system_score_gemma":0.0000063332914,"threshold_uncertainty_score":0.3418414},"labels":[],"label_agreement":null},{"id":"W1977301013","doi":"10.1016/j.jalgebra.2009.10.003","title":"Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Separable space; Mathematics; Conjugacy class; Coset; Group (periodic table); Combinatorics; Pure mathematics; 3-manifold; Manifold (fluid mechanics); Mathematical analysis; Physics","score_opus":0.020260416037087548,"score_gpt":0.3053937524237427,"score_spread":0.28513333638665517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977301013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950718,0.0003165996,0.001088168,0.00057364476,0.00042861793,0.00012580621,0.0000042840975,0.000020939544,0.0023701172],"genre_scores_gemma":[0.9940901,0.00005061378,0.0050624292,0.00022010904,0.00018392755,4.731271e-7,5.2952356e-7,0.000016796,0.00037507116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793214,0.00008411775,0.00101638,0.00016438177,0.00048480905,0.0003181475],"domain_scores_gemma":[0.99776536,0.0005570438,0.000902706,0.0003173882,0.00030312056,0.00015439763],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010468103,0.00018979982,0.0007228851,0.0002595875,0.00005740463,0.000022989589,0.00034904774,0.00013847066,0.0008008655],"category_scores_gemma":[0.00068023213,0.00014749743,0.00027827203,0.00048755048,0.00008096565,0.00031616737,0.000044145785,0.0003213441,0.000015838768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012731425,0.0068562008,0.20410432,0.0007448424,0.0013523339,0.00046318106,0.006285147,0.000118609205,0.018280488,0.61963505,0.13407293,0.006813754],"study_design_scores_gemma":[0.0029841703,0.0022162546,0.25566673,0.00013759705,0.00025917933,0.0004454824,0.00094755884,0.00013257143,0.0086192675,0.7253485,0.0028402563,0.00040244655],"about_ca_topic_score_codex":0.000015824377,"about_ca_topic_score_gemma":0.0000034009593,"teacher_disagreement_score":0.13123268,"about_ca_system_score_codex":0.000062873216,"about_ca_system_score_gemma":0.00011777139,"threshold_uncertainty_score":0.87689155},"labels":[],"label_agreement":null},{"id":"W1977568107","doi":"10.1142/s0218216512501374","title":"HOMOMORPHIC EXPANSIONS FOR KNOTTED TRIVALENT GRAPHS","year":2012,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Homomorphic encryption; Diagrammatic reasoning; Invariant (physics); Knot (papermaking); Algebraic number; Knot invariant; Knot theory; Combinatorics; Pure mathematics; Discrete mathematics; Computer science; Mathematical analysis; Mathematical physics","score_opus":0.06750938994682043,"score_gpt":0.3368556301034442,"score_spread":0.2693462401566238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977568107","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9403454,0.0051773833,0.051148064,0.0018833836,0.00061381207,0.00035617917,0.000029097306,0.00003795931,0.00040873757],"genre_scores_gemma":[0.99577314,0.00030237812,0.0026157766,0.00010174465,0.00020579885,0.000015333771,0.0000018316268,0.000018072904,0.00096590474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989202,0.00019232465,0.000466579,0.00007945634,0.0001173699,0.0002240492],"domain_scores_gemma":[0.99674505,0.0023152092,0.00036800717,0.00015800257,0.00023633352,0.00017736842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017170613,0.00010420246,0.00025411858,0.00032288468,0.00021887753,0.000014001006,0.00015114625,0.00008275077,0.00015355516],"category_scores_gemma":[0.0025298025,0.000078577024,0.0001467043,0.00031315585,0.00008073065,0.00018823946,0.000019804838,0.000170419,0.000011594995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005197686,0.0003365719,0.0001356836,0.00003110542,0.000077218945,4.8686917e-7,0.00084953185,7.201958e-7,0.0013255597,0.99268085,0.0022781717,0.002232124],"study_design_scores_gemma":[0.001062929,0.00021098468,0.0045932806,0.000042622913,0.0003422351,0.00023526765,0.0016890997,0.000027539922,0.001297128,0.9732057,0.01713029,0.00016294183],"about_ca_topic_score_codex":1.7710948e-7,"about_ca_topic_score_gemma":2.2221768e-7,"teacher_disagreement_score":0.055427775,"about_ca_system_score_codex":0.000014854469,"about_ca_system_score_gemma":0.00004479001,"threshold_uncertainty_score":0.3204278},"labels":[],"label_agreement":null},{"id":"W1977672446","doi":"10.1063/1.3677762","title":"Affine reflection groups for tiling applications: Knot theory and DNA","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Euclidean geometry; Mathematics; Knot theory; Affine transformation; Knot (papermaking); Symmetry group; Lattice (music); Group theory; Combinatorics; Topology (electrical circuits); Pure mathematics; Physics; Geometry","score_opus":0.05899039654788081,"score_gpt":0.35632583105339455,"score_spread":0.29733543450551375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977672446","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.112522654,0.00031815696,0.88517183,0.00018319336,0.00010630204,0.00025656822,0.0000021043836,0.00001927352,0.0014199205],"genre_scores_gemma":[0.91846275,0.000023595509,0.07957312,0.0000796547,0.0014850261,0.00002814603,8.29121e-7,0.00002782263,0.00031903372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990183,0.00006255423,0.00045630886,0.000074388685,0.0001735575,0.00021490305],"domain_scores_gemma":[0.996655,0.002598406,0.00036943197,0.0001350292,0.00013111014,0.00011103537],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001529181,0.000112151414,0.00033437597,0.000077921664,0.0000801525,0.000016844295,0.00010194977,0.000073649935,0.000049555172],"category_scores_gemma":[0.0010887096,0.000082859304,0.00012063193,0.0001802593,0.00007112158,0.00018599487,0.00003216902,0.00016662518,0.00001171167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038888076,0.00038270542,0.000020164585,0.00023717002,0.000057518067,2.3206539e-7,0.0004092757,6.998827e-7,0.0007969857,0.98538965,0.0004706244,0.012196089],"study_design_scores_gemma":[0.00038950535,0.00010666245,0.000034817695,0.000039539955,0.00014255792,0.00009244889,0.00032869587,0.00006461923,0.001657075,0.99583644,0.0012218014,0.00008584402],"about_ca_topic_score_codex":5.5805433e-8,"about_ca_topic_score_gemma":4.1901046e-8,"teacher_disagreement_score":0.8059401,"about_ca_system_score_codex":0.000030617193,"about_ca_system_score_gemma":0.000017636285,"threshold_uncertainty_score":0.33789042},"labels":[],"label_agreement":null},{"id":"W1978025000","doi":"10.1063/1.3187933","title":"Erratum: “Efficient chain moves for Monte Carlo simulations of a wormlike DNA model: Excluded volume, supercoils, site juxtapositions, knots, and comparisons with random-flight and lattice models” [J. Chem. Phys. 128, 145104 (2008)]","year":2009,"lang":"en","type":"erratum","venue":"The Journal of Chemical Physics","topic":"Geometric and Algebraic Topology","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":"Statistical physics; Monte Carlo method; Physics; Lattice (music); Excluded volume; Mathematics; Statistics","score_opus":0.02929255158548758,"score_gpt":0.2699326927506078,"score_spread":0.24064014116512025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978025000","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7689886,0.01465718,0.2068856,0.0028624306,0.0013111362,0.0022921346,0.0009815522,0.00009895845,0.0019223932],"genre_scores_gemma":[0.9854948,0.0005842553,0.009183636,0.0001737213,0.0010233779,0.000013974019,0.00007136802,0.00010717945,0.0033476937],"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997385,0.00012249351,0.0010777136,0.0003266886,0.0005908396,0.00049722136],"domain_scores_gemma":[0.9959768,0.0011628539,0.0011876954,0.00048644264,0.00095494324,0.00023123698],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00051975163,0.00056983315,0.0016705497,0.00020131914,0.00021934121,0.0000522208,0.00042542428,0.00041263548,0.0000043308255],"category_scores_gemma":[0.00030809687,0.0003924926,0.00030201735,0.00048720496,0.0004955248,0.00019463828,0.00013149169,0.0012475777,3.847344e-7],"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":[0.0028592162,0.002558723,0.000014357536,0.0014930781,0.0016454831,0.000007711213,0.007496039,0.1178247,0.0056274976,0.008000076,0.8518062,0.00066690886],"study_design_scores_gemma":[0.0063869297,0.00044531666,0.000018039082,0.0008204482,0.002912878,0.00009401773,0.00041735845,0.84932923,0.0019228561,0.13569412,0.0011981964,0.0007605937],"about_ca_topic_score_codex":0.00002023119,"about_ca_topic_score_gemma":0.0000072639905,"teacher_disagreement_score":0.850608,"about_ca_system_score_codex":0.0000872091,"about_ca_system_score_gemma":0.00027266788,"threshold_uncertainty_score":0.9998527},"labels":[],"label_agreement":null},{"id":"W1978539514","doi":"10.1007/s00025-007-0245-5","title":"A Classification of Conjugately Separated Abelian, Commutative Transitive, and Restricted Gromov One-Relator Groups","year":2007,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Transitive relation; Abelian group; Commutative property; Pure mathematics; Group (periodic table); Combinatorics","score_opus":0.0658599635746693,"score_gpt":0.3341742947958427,"score_spread":0.26831433122117343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978539514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9764715,0.00010509193,0.010657454,0.0002868689,0.00005414826,0.00059393066,0.00008134021,0.00007383964,0.011675843],"genre_scores_gemma":[0.96828413,0.00006604919,0.0313022,0.000019787569,0.000018613446,0.000010290731,0.00002545308,0.000024659834,0.0002488027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759644,0.00013626246,0.001303902,0.00028648376,0.0003216051,0.00035532826],"domain_scores_gemma":[0.9952913,0.0034292336,0.00059967395,0.0003756245,0.00020208047,0.00010207583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001439469,0.00022399852,0.00060386234,0.0005216556,0.00006345746,0.000014892973,0.00019180276,0.00026765178,0.000018817782],"category_scores_gemma":[0.0022691742,0.00020707164,0.000058202553,0.0012560477,0.00031699255,0.00009698714,0.00004422867,0.0003266928,0.000012293332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00064524595,0.0022498576,0.0008186445,0.0011027921,0.0002500731,0.00009020931,0.030977027,0.000009378183,0.010399491,0.950735,0.00064655364,0.0020757532],"study_design_scores_gemma":[0.008493466,0.0007299907,0.08134137,0.0008871855,0.00023345159,0.00011819218,0.011510536,0.0060025784,0.009439197,0.8803038,0.00019733617,0.0007429093],"about_ca_topic_score_codex":0.000030506271,"about_ca_topic_score_gemma":0.00007556422,"teacher_disagreement_score":0.08052272,"about_ca_system_score_codex":0.000066565204,"about_ca_system_score_gemma":0.000048363218,"threshold_uncertainty_score":0.84441364},"labels":[],"label_agreement":null},{"id":"W1978872966","doi":"10.1007/s11511-012-0088-0","title":"Non-realizability and ending laminations: Proof of the density conjecture","year":2012,"lang":"en","type":"article","venue":"Acta Mathematica","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"","keywords":"Mathematics; Lamination; Subsequence; Pure mathematics; Algebraic number; Conjecture; Limit (mathematics); Surface (topology); Sequence (biology); Conformal map; Mathematical analysis; Geometry","score_opus":0.03160092406164554,"score_gpt":0.29601712785117995,"score_spread":0.2644162037895344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978872966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908148,0.000036447094,0.0034149594,0.001118759,0.00008432881,0.00042018102,0.0000053566064,0.000024639889,0.004080542],"genre_scores_gemma":[0.99489605,0.0000018931703,0.0048356387,0.000050177197,0.000042590073,0.000012705722,6.409761e-7,0.00001138233,0.00014891232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917513,0.00006054569,0.00027442817,0.00011684174,0.00016875521,0.00020429549],"domain_scores_gemma":[0.9985005,0.0008393727,0.00019854603,0.0003513521,0.00004279188,0.00006739835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052355457,0.00011364966,0.0002760009,0.00004525081,0.000087314285,0.00000848482,0.00016831711,0.000084194275,0.000116301846],"category_scores_gemma":[0.0022075751,0.000070014474,0.00006242526,0.00024680907,0.0001766268,0.000090684356,0.0001553044,0.000119888224,0.000003074954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006971541,0.00050546066,0.038202554,0.0015252803,0.00009647942,7.5013975e-7,0.009123021,9.839232e-8,0.0020112658,0.9453149,0.0022649895,0.0009482706],"study_design_scores_gemma":[0.00045561383,0.00006481602,0.044942398,0.000100732424,0.00020285267,0.00011527313,0.0009654393,0.00025044597,0.041832782,0.9104071,0.0004223792,0.00024014982],"about_ca_topic_score_codex":0.0000040032583,"about_ca_topic_score_gemma":0.0000019717993,"teacher_disagreement_score":0.039821517,"about_ca_system_score_codex":0.000016375248,"about_ca_system_score_gemma":0.000019066856,"threshold_uncertainty_score":0.28551072},"labels":[],"label_agreement":null},{"id":"W1980126517","doi":"10.1142/s0218216501001104","title":"COMPUTING THE JONES POLYNOMIAL ON BIPARTITE GRAPHS","year":2001,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; Bipartite graph; Bracket polynomial; Combinatorics; Knot polynomial; Jones polynomial; HOMFLY polynomial; Knot (papermaking); Alexander polynomial; Knot invariant; Discrete mathematics; Quantum invariant; Complete bipartite graph; Knot theory; Crossing number (knot theory); Graph; Polynomial; Matrix polynomial; Square-free polynomial","score_opus":0.04476554547116283,"score_gpt":0.3198933932761936,"score_spread":0.27512784780503075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980126517","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98931026,0.0008204584,0.0038482973,0.0037449303,0.00027973807,0.000084947795,0.0000023688096,0.000013393701,0.0018955853],"genre_scores_gemma":[0.9981288,0.0002255749,0.00022513919,0.0002515281,0.00022957486,8.900873e-7,3.606996e-7,0.000007457465,0.0009307183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990792,0.00024279622,0.00035117,0.00007589275,0.000116742754,0.00013415852],"domain_scores_gemma":[0.9973592,0.0020194387,0.00031320387,0.00014051351,0.00010437603,0.00006322256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013166002,0.000081423044,0.00016294044,0.00019462424,0.00029237109,0.000029190556,0.00018145189,0.000046697038,0.000099231795],"category_scores_gemma":[0.001113098,0.000048488964,0.000083608604,0.00033088287,0.00010272692,0.00007005119,0.000021633736,0.00022546986,0.000016489797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000647237,0.00011909486,0.00018954738,0.0000056386584,0.000051215655,0.000003888014,0.00072119344,0.000015597818,0.00033781806,0.98886395,0.0017866514,0.007840667],"study_design_scores_gemma":[0.0008412949,0.00033462083,0.017678145,0.000069963375,0.00017022222,0.0006885723,0.0023313577,0.00023049125,0.0004826683,0.9481096,0.028879639,0.0001833931],"about_ca_topic_score_codex":4.9551903e-7,"about_ca_topic_score_gemma":7.899105e-7,"teacher_disagreement_score":0.040754333,"about_ca_system_score_codex":0.000009033632,"about_ca_system_score_gemma":0.000027949347,"threshold_uncertainty_score":0.22487114},"labels":[],"label_agreement":null},{"id":"W1980990317","doi":"10.2140/agt.2013.13.2347","title":"Graph manifolds, left-orderability and amalgamation","year":2013,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibered knot; Homology (biology); Graph; Voltage graph; Toroid; Fundamental group; Singular homology","score_opus":0.02070547088527647,"score_gpt":0.265531469294001,"score_spread":0.24482599840872454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980990317","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9777881,0.00146662,0.009025583,0.0037370706,0.000639353,0.0007955668,0.0000067557926,0.00030316776,0.0062378203],"genre_scores_gemma":[0.98974997,0.00017904393,0.0073291194,0.00072684296,0.00016460157,0.00008210858,0.000015945056,0.000046709105,0.0017056892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968097,0.00028434402,0.0008230108,0.00080306176,0.0003510111,0.00092883257],"domain_scores_gemma":[0.9960941,0.002298745,0.0003198256,0.0007534319,0.00023325834,0.0003006168],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077546516,0.0004242231,0.0007562406,0.0020666793,0.00028324875,0.000080592115,0.0004229141,0.00046654636,0.0075591044],"category_scores_gemma":[0.0030860014,0.0003830956,0.00016137325,0.0025705625,0.00057978916,0.00034314618,0.0002936566,0.0004301402,0.00058863615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022879725,0.0004997918,0.079162635,0.000215356,0.00027002112,0.000021804814,0.0007744027,0.000001019444,0.00022879435,0.82947624,0.019164152,0.0701629],"study_design_scores_gemma":[0.0008446458,0.00029955505,0.1901001,0.0000063448056,0.000070293194,0.00021486646,0.00039117615,0.000030157476,0.00017892077,0.8053379,0.002124818,0.00040120847],"about_ca_topic_score_codex":0.00073861383,"about_ca_topic_score_gemma":0.00009547635,"teacher_disagreement_score":0.11093747,"about_ca_system_score_codex":0.00007126296,"about_ca_system_score_gemma":0.000056310866,"threshold_uncertainty_score":0.9998621},"labels":[],"label_agreement":null},{"id":"W1981151457","doi":"10.1515/gcc.2011.005","title":"Polynomial time conjugacy in wreath products and free solvable groups","year":2011,"lang":"en","type":"article","venue":"journal of Groups complexity cryptology","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Wreath product; Conjugacy problem; Mathematics; Conjugacy class; Solvable group; Decidability; Combinatorics; Embedding; Discrete mathematics; Product (mathematics); Abelian group; Computer science; Geometry","score_opus":0.10159915672616239,"score_gpt":0.2809278124003784,"score_spread":0.17932865567421602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981151457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915349,0.00038641633,0.0012795074,0.0014928203,0.00058200746,0.00019601404,0.0000072115436,0.000026928303,0.0044942214],"genre_scores_gemma":[0.94425774,0.000036816295,0.054971438,0.00020055627,0.00036442195,0.0000029655125,0.000001781277,0.000026866483,0.00013743392],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977993,0.00026377547,0.00093719346,0.000275486,0.00021347738,0.0005108172],"domain_scores_gemma":[0.9980646,0.0004957915,0.0006764999,0.0003945797,0.00020436334,0.00016417168],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009869257,0.00024410103,0.000952648,0.0006423534,0.000090041656,0.000018918729,0.0005352454,0.0002120909,0.0009318933],"category_scores_gemma":[0.0015908058,0.00020840332,0.00010380964,0.00042370864,0.00059919845,0.00024662097,0.00026503307,0.0005517713,0.000031717023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015309033,0.0031309922,0.049309727,0.00026820632,0.00041950966,0.0009986102,0.006491031,7.7070814e-7,0.0021095844,0.8549116,0.07869424,0.002134798],"study_design_scores_gemma":[0.0039664754,0.0019240446,0.0635464,0.00004177179,0.00009565526,0.0026454523,0.00043575733,0.00005590992,0.0005232464,0.9247828,0.0016561123,0.0003263882],"about_ca_topic_score_codex":0.000098764256,"about_ca_topic_score_gemma":0.00008350121,"teacher_disagreement_score":0.077038124,"about_ca_system_score_codex":0.00006631956,"about_ca_system_score_gemma":0.000111785375,"threshold_uncertainty_score":0.9999814},"labels":[],"label_agreement":null},{"id":"W1981450700","doi":"10.1007/s00454-012-9444-2","title":"Symmetries of Equivelar 4-Toroids","year":2012,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS; European Science Foundation","keywords":"Dihedral group; Mathematics; Homogeneous space; One-dimensional symmetry group; Toroid; Combinatorics; Dihedral angle; Symmetry group; Lattice (music); Symmetry (geometry); Group (periodic table); Geometry; Pure mathematics; Physics; Quantum mechanics","score_opus":0.04283573802574372,"score_gpt":0.33346577945444855,"score_spread":0.29063004142870486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981450700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.884728,0.0012477733,0.10532826,0.00024536857,0.0004829308,0.00015953858,0.00006277813,0.00007923815,0.0076660705],"genre_scores_gemma":[0.97130704,0.000006268581,0.027748872,0.00013567238,0.00019987539,0.000006757082,0.00004770592,0.000022111402,0.00052572234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998432,0.00006753881,0.00044341135,0.00017667282,0.0004789504,0.0004014439],"domain_scores_gemma":[0.9978411,0.0013673138,0.00023028784,0.00019833879,0.00022019418,0.00014274719],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051054946,0.00017061848,0.00034878874,0.00062045763,0.000084329535,0.000012574676,0.00021416847,0.000103919825,0.00071139366],"category_scores_gemma":[0.0012455167,0.00015342915,0.00014623223,0.0013266761,0.00018660966,0.00020591587,0.0001349268,0.00014261069,0.000091817565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002147542,0.0002409266,0.04863746,0.000121507954,0.00016311031,0.000001980715,0.0005359419,0.00021817742,0.000053696385,0.9434751,0.0035772794,0.0029533375],"study_design_scores_gemma":[0.0013098144,0.00026778408,0.25170818,0.00005365056,0.000159163,0.00006913343,0.001595416,0.00070624123,0.0012221164,0.73730963,0.0049594888,0.0006393852],"about_ca_topic_score_codex":0.000014661632,"about_ca_topic_score_gemma":3.9159764e-7,"teacher_disagreement_score":0.20616548,"about_ca_system_score_codex":0.000035522058,"about_ca_system_score_gemma":0.000047017,"threshold_uncertainty_score":0.77892613},"labels":[],"label_agreement":null},{"id":"W1982299824","doi":"10.1090/s0002-9947-09-04986-1","title":"A relative Seidel morphism and the Albers map","year":2009,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Université de Montréal; University of Waterloo","funders":"","keywords":"Algorithm; Annotation; Mathematics; Morphism; Artificial intelligence; Computer science; Discrete mathematics","score_opus":0.017008830034617648,"score_gpt":0.2754024317466894,"score_spread":0.2583936017120717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982299824","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20545262,0.00016660237,0.7284159,0.060279403,0.000087846616,0.00083635555,0.000015410855,0.000110280096,0.004635579],"genre_scores_gemma":[0.95395094,0.000043114578,0.04297376,0.00090967165,0.000019562887,0.000016379694,1.781097e-7,0.000012802941,0.002073615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988834,0.00013155183,0.0003519631,0.00016328826,0.0002465955,0.00022317981],"domain_scores_gemma":[0.9973146,0.001882503,0.0002736594,0.00042602792,0.000043494743,0.000059744714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004748127,0.00015271103,0.00045886912,0.000024298386,0.0002482306,0.000011920869,0.00029410113,0.00005229977,0.00013468752],"category_scores_gemma":[0.00022455819,0.000078314566,0.00046976685,0.0005199175,0.0021244383,0.00006366763,0.000017916605,0.00031894332,0.000010577785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007020797,0.000370157,0.000026425821,0.000090435,0.0004244764,4.582727e-7,0.009936031,0.000029442468,0.00013480411,0.97984475,0.003064802,0.0060080118],"study_design_scores_gemma":[0.0007093977,0.0000856376,0.00044631885,0.000026474187,0.00027298075,0.000025770432,0.0026609856,0.0016860935,0.00012111664,0.9936844,0.00017097661,0.00010982653],"about_ca_topic_score_codex":0.000046216333,"about_ca_topic_score_gemma":0.0000015620839,"teacher_disagreement_score":0.7484983,"about_ca_system_score_codex":0.00002841348,"about_ca_system_score_gemma":0.00002548446,"threshold_uncertainty_score":0.7827582},"labels":[],"label_agreement":null},{"id":"W1982408165","doi":"10.1016/s0925-7721(01)00037-2","title":"Reconfiguring convex polygons","year":2001,"lang":"en","type":"article","venue":"Computational Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; University of Waterloo","funders":"","keywords":"Polygon (computer graphics); Monotone polygon; Rectilinear polygon; Regular polygon; Combinatorics; Star-shaped polygon; Mathematics; Polygon covering; Vertex (graph theory); Point in polygon; Bounded function; Convex polygon; Motion (physics); Simple polygon; Convex set; Geometry; Computer science; Mathematical analysis; Computer vision; Convex optimization; Graph","score_opus":0.057008716175654804,"score_gpt":0.3203182687844139,"score_spread":0.2633095526087591,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982408165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8577274,0.00026524064,0.10896629,0.0011804065,0.00046833768,0.00012917072,0.000008890124,0.0001981528,0.031056127],"genre_scores_gemma":[0.980046,0.000009117859,0.015141337,0.00041298644,0.00020039197,0.0000068955496,0.00001893363,0.000018473847,0.004145894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894994,0.00003549613,0.00028032495,0.00022637678,0.0002337829,0.00027409493],"domain_scores_gemma":[0.99853814,0.0010022214,0.00009877229,0.00016030855,0.000097777614,0.00010275769],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022103594,0.00012625803,0.00021232257,0.0004681273,0.000121350175,0.000025342715,0.00017281811,0.00008164373,0.0024525982],"category_scores_gemma":[0.0005141012,0.00012574442,0.00008075462,0.0009301315,0.00007554164,0.00007351587,0.00005542192,0.00015216481,0.00045253412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003727543,0.0004029614,0.032949667,0.00007570569,0.00020792155,0.00012201471,0.00031945028,0.0018302153,0.000054356973,0.8929548,0.02685755,0.044188038],"study_design_scores_gemma":[0.00072053936,0.0000639646,0.040861618,0.000018077424,0.000024901196,0.0003298575,0.00020340118,0.0019018662,0.00006171277,0.938389,0.017134331,0.0002907463],"about_ca_topic_score_codex":0.0000086535765,"about_ca_topic_score_gemma":0.0000013074281,"teacher_disagreement_score":0.12231859,"about_ca_system_score_codex":0.00003460153,"about_ca_system_score_gemma":0.00004881709,"threshold_uncertainty_score":0.9984593},"labels":[],"label_agreement":null},{"id":"W1984162696","doi":"10.1353/ajm.2007.0033","title":"Tight contact structures on some small Seifert fibered 3-manifolds","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"Hungarian Scientific Research Fund; Princeton University; National Science Foundation","keywords":"Fibered knot; Mathematics; Regular polygon; Pure mathematics; Computation; Combinatorics; Geometry; Algorithm","score_opus":0.030238094317134954,"score_gpt":0.29643806104082127,"score_spread":0.2661999667236863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984162696","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.980177,0.00009719126,0.016175218,0.0005962784,0.0003744016,0.00013882936,0.0000051080406,0.000038521026,0.0023974446],"genre_scores_gemma":[0.91704756,0.000032268454,0.08161703,0.0005086124,0.00032569483,8.6387075e-7,7.670606e-7,0.000049091504,0.00041808715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99767286,0.00007477713,0.001100318,0.00016161529,0.0005208182,0.00046960718],"domain_scores_gemma":[0.9952657,0.0023426174,0.0015518786,0.00038355097,0.00020392267,0.00025232552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012321527,0.0002850927,0.0008884452,0.0005189701,0.00008127979,0.00003260204,0.00048306587,0.00009453524,0.00023239582],"category_scores_gemma":[0.0010751894,0.00020575248,0.00027123053,0.0004456085,0.00018434606,0.000086806554,0.000051750318,0.0004429119,0.00003420799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021276304,0.0011206138,0.00062855135,0.00022592147,0.00071912,0.0006407661,0.0043093385,0.000015986841,0.0010034,0.9476853,0.007166338,0.036271896],"study_design_scores_gemma":[0.0016060186,0.0037765426,0.0034166074,0.00023253882,0.0002983786,0.0021325478,0.0073415386,0.000044544282,0.005302967,0.97232056,0.0029483223,0.0005794554],"about_ca_topic_score_codex":0.0000115291505,"about_ca_topic_score_gemma":0.000007386398,"teacher_disagreement_score":0.06544181,"about_ca_system_score_codex":0.000091238275,"about_ca_system_score_gemma":0.000081834456,"threshold_uncertainty_score":0.83903426},"labels":[],"label_agreement":null},{"id":"W1984199069","doi":"10.1142/s0218216502001676","title":"THE GORDIAN COMPLEX OF KNOTS","year":2002,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; University of Toronto","keywords":"Knot (papermaking); Mathematics; Combinatorics; Simplicial complex","score_opus":0.0817795745887937,"score_gpt":0.3150403466677326,"score_spread":0.23326077207893892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984199069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9430258,0.011174527,0.011142933,0.013146352,0.00051760714,0.00031896535,0.00002556628,0.00002555983,0.02062268],"genre_scores_gemma":[0.9959627,0.0006163091,0.000508203,0.0000537808,0.00007787727,0.0000012129229,2.7864178e-7,0.000006017608,0.0027736358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991069,0.00020005087,0.00041890636,0.000053182714,0.00011252525,0.000108473956],"domain_scores_gemma":[0.9970062,0.0021966142,0.00039949757,0.00015442395,0.00018084169,0.000062470026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009892054,0.00006292144,0.0001745042,0.00011488655,0.00020042439,0.000014624438,0.00019916671,0.000041477833,0.00039056607],"category_scores_gemma":[0.0016916678,0.000038610917,0.000076292104,0.000234057,0.00015627035,0.00006502552,0.000020219248,0.00014219957,0.000013809234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013007736,0.00010346423,0.000033439508,0.000012289166,0.000051228966,0.0000012166581,0.00059120916,0.0000012981543,0.0006651177,0.9853404,0.0037007693,0.009486564],"study_design_scores_gemma":[0.00048565588,0.0001672704,0.0054619354,0.000026895004,0.00011075927,0.0002187532,0.0015700143,0.00024113397,0.00051572477,0.9550394,0.036066964,0.00009552998],"about_ca_topic_score_codex":3.530932e-7,"about_ca_topic_score_gemma":0.0000010110256,"teacher_disagreement_score":0.052936874,"about_ca_system_score_codex":0.0000076125684,"about_ca_system_score_gemma":0.000014647058,"threshold_uncertainty_score":0.42764246},"labels":[],"label_agreement":null},{"id":"W1984327345","doi":"10.1016/j.disc.2004.08.036","title":"Efficient enumeration of sensed planar maps","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Enumeration; Mathematics; Combinatorics; Homeomorphism (graph theory); Embedding; Planar; Quotient; Discrete mathematics; Computer science","score_opus":0.02610764014380604,"score_gpt":0.28508251985170635,"score_spread":0.2589748797079003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984327345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89019,0.00010626921,0.08978187,0.00088031526,0.00013771509,0.00042514253,0.000055422002,0.00013257997,0.018290667],"genre_scores_gemma":[0.8844871,0.0000039040797,0.114263825,0.000049708673,0.0000981518,0.000008838406,0.000012782307,0.000026285663,0.0010494316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867135,0.000040087587,0.0005569671,0.0001681208,0.0003130732,0.00025039693],"domain_scores_gemma":[0.99872273,0.00045795777,0.00028974476,0.00038985017,0.00007237629,0.0000673102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037745293,0.0001669767,0.00036697902,0.00017201906,0.00006128051,0.000013325726,0.00016325951,0.00010147998,0.00024416056],"category_scores_gemma":[0.00050423975,0.0001367365,0.000112275295,0.00027832782,0.000085948814,0.000025752795,0.000036721347,0.000108595596,0.000112923415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013184568,0.00048214258,0.00009971595,0.00044727683,0.000091846414,0.000007296211,0.005460043,0.0003946432,0.0016962196,0.9847817,0.004693913,0.0018320648],"study_design_scores_gemma":[0.0028397865,0.00036239764,0.000364461,0.0003035753,0.000413497,0.00020998881,0.005668703,0.083634146,0.026608216,0.8718056,0.0066579394,0.0011316546],"about_ca_topic_score_codex":0.0000038441667,"about_ca_topic_score_gemma":0.0000051114985,"teacher_disagreement_score":0.11297602,"about_ca_system_score_codex":0.00003031201,"about_ca_system_score_gemma":0.000025550551,"threshold_uncertainty_score":0.55759525},"labels":[],"label_agreement":null},{"id":"W1985933202","doi":"10.1016/j.tcs.2008.09.011","title":"A palindromization map for the free group","year":2008,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Group (periodic table); Chemistry","score_opus":0.0340092894968032,"score_gpt":0.28234975369344556,"score_spread":0.24834046419664235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985933202","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.033310123,0.000021875896,0.962925,0.0024561123,0.0004913969,0.00024078158,0.0000022173497,0.00006103976,0.0004914203],"genre_scores_gemma":[0.8788372,0.0000024122892,0.12052974,0.00030866495,0.00025511172,0.000014061958,4.8630966e-7,0.0000061270784,0.000046140376],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989779,0.000036507532,0.00016226861,0.00024181853,0.00028200928,0.00029947268],"domain_scores_gemma":[0.99756944,0.0017473476,0.0000444318,0.00047749744,0.000087849985,0.00007344618],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0009610706,0.000083148785,0.00012363028,0.00008112845,0.0005317442,0.000034069493,0.00094019,0.00003733457,0.000098125536],"category_scores_gemma":[0.00078594935,0.000048990565,0.000052506166,0.00052142644,0.0030194542,0.00007308385,0.000283638,0.00008095828,0.000021494232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006970591,0.000031824486,0.000019421015,0.0000054824245,0.0000031737934,0.0000018025931,0.00029877105,0.00000733225,0.000011453309,0.9958443,0.001539643,0.0022298256],"study_design_scores_gemma":[0.00031092667,0.00012192879,0.0002934687,0.000004331051,0.000009018185,0.000048913666,0.000015480853,0.054359995,0.00015256875,0.9441975,0.000409598,0.00007626444],"about_ca_topic_score_codex":0.0000016844509,"about_ca_topic_score_gemma":3.5353307e-7,"teacher_disagreement_score":0.8455271,"about_ca_system_score_codex":0.000016112786,"about_ca_system_score_gemma":0.00003501173,"threshold_uncertainty_score":0.99969375},"labels":[],"label_agreement":null},{"id":"W1986453029","doi":"10.1142/s0218196715500162","title":"Time complexity of the conjugacy problem in relatively hyperbolic groups","year":2015,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"Carleton University","funders":"","keywords":"Conjugacy class; Mathematics; Conjugacy problem; Hyperbolic group; Relatively hyperbolic group; Polynomial; Group (periodic table); Element (criminal law); Hyperbolic manifold; Time complexity; Bounded function; Hyperbolic function; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.07059615617374809,"score_gpt":0.31977167306525106,"score_spread":0.24917551689150297,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986453029","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.992373,0.00009528387,0.004054587,0.002008358,0.00025718423,0.00007748738,0.0000026353166,0.0000044090216,0.0011270846],"genre_scores_gemma":[0.9940479,0.000006056185,0.005739755,0.00006447231,0.00007632552,6.1490596e-7,0.0000012887268,0.0000050505037,0.000058577258],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989289,0.000108313085,0.00047778565,0.00006607961,0.0003484592,0.00007046442],"domain_scores_gemma":[0.998688,0.0002561182,0.0005307831,0.000041208186,0.00044175598,0.000042138734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047208223,0.0000674639,0.00018779328,0.00020540535,0.000016698612,0.000014548321,0.00020209048,0.0000399838,0.000020043717],"category_scores_gemma":[0.00035861274,0.000047149253,0.000054031527,0.0001822673,0.00017441569,0.00014714403,0.0000665932,0.00014194248,0.00000319307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034932402,0.0006597594,0.032070532,0.000041742787,0.00034817102,0.00003801733,0.0087474445,0.0012002989,0.00050243095,0.93495286,0.0029037865,0.018185625],"study_design_scores_gemma":[0.001397593,0.00013053269,0.052393895,0.000069705726,0.000016808524,0.00021221016,0.00045319265,0.0019723342,0.00014087181,0.94306165,0.00009440666,0.000056804056],"about_ca_topic_score_codex":0.000015159766,"about_ca_topic_score_gemma":0.000004516173,"teacher_disagreement_score":0.020323364,"about_ca_system_score_codex":0.000048106354,"about_ca_system_score_gemma":0.00007976332,"threshold_uncertainty_score":0.19226907},"labels":[],"label_agreement":null},{"id":"W1986967800","doi":"10.1016/s0022-4049(02)00123-8","title":"Writing certain commutators as products of cubes in free groups","year":2002,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"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":"School of Mathematics, Institute for Research in Fundamental Sciences; University of Alberta","keywords":"Mathematics; Wreath product; Commutator; Free product; Element (criminal law); Product (mathematics); Commutator subgroup; Combinatorics; Group (periodic table); Free group; Pure mathematics; Algebra over a field; Normal subgroup; Geometry; Chemistry; Law","score_opus":0.026652123091905112,"score_gpt":0.25944467238213637,"score_spread":0.23279254929023124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986967800","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913743,0.0022691446,0.000090557995,0.0024417306,0.00010101793,0.00011508745,0.0000021245974,0.000008404157,0.003597591],"genre_scores_gemma":[0.9964801,0.0001329569,0.0028739895,0.00012206595,0.00021191803,0.0000020296957,3.7536344e-7,0.000015792582,0.00016075821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869823,0.000047199293,0.0006642446,0.000119449935,0.0002424571,0.00022843403],"domain_scores_gemma":[0.9988402,0.00037142666,0.0004421146,0.00019143311,0.000077110584,0.00007767558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060774805,0.0001344573,0.00046454414,0.00034157804,0.00004325454,0.000017613533,0.00023550421,0.000106505286,0.00016438894],"category_scores_gemma":[0.0004920515,0.000109844885,0.000060231836,0.0004761344,0.00010720408,0.00009542773,0.00007620036,0.00035937023,0.0000047051685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000772134,0.00095232896,0.0041892934,0.0005863621,0.00017772417,0.00015459959,0.0055426294,0.000012276871,0.0033433514,0.92314786,0.025939949,0.0358764],"study_design_scores_gemma":[0.0024264369,0.0003483088,0.0018765202,0.00017914159,0.000089791356,0.00060582795,0.0056447326,0.000032252403,0.007953014,0.9791791,0.0014055927,0.00025929423],"about_ca_topic_score_codex":0.0000059042136,"about_ca_topic_score_gemma":0.00000670656,"teacher_disagreement_score":0.056031216,"about_ca_system_score_codex":0.000017228593,"about_ca_system_score_gemma":0.00002089865,"threshold_uncertainty_score":0.44793445},"labels":[],"label_agreement":null},{"id":"W1987022760","doi":"10.1142/s021819671000542x","title":"COMPRESSED WORDS AND AUTOMORPHISMS IN FULLY RESIDUALLY FREE GROUPS","year":2010,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Decidability; Automorphism; Word problem (mathematics education); Word (group theory); Finitely-generated abelian group; Group (periodic table); Free group; Polynomial; Combinatorics; Automorphism group; Discrete mathematics; Arithmetic; Mathematical analysis; Geometry","score_opus":0.016918195685207152,"score_gpt":0.2988823422422948,"score_spread":0.2819641465570877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987022760","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98026204,0.00010045165,0.016051358,0.0024313633,0.00074084155,0.000055903325,0.0000034322895,0.00001165566,0.00034294228],"genre_scores_gemma":[0.98628294,0.000026894992,0.013309014,0.00012179549,0.00021505672,0.0000010427138,0.0000026812384,0.000008125545,0.00003243396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989898,0.00004631612,0.00043660478,0.00010852995,0.00031767698,0.00010105136],"domain_scores_gemma":[0.99885374,0.0004799879,0.00031309892,0.00006263278,0.0002248616,0.00006568548],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004156814,0.00009265287,0.00019095224,0.00043205536,0.000029819535,0.00006626932,0.00022393117,0.00007630406,0.00004812556],"category_scores_gemma":[0.0004240512,0.000081954364,0.00003475733,0.00012172627,0.00008793653,0.00019143759,0.00008584187,0.00029724019,0.0000012451261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046728848,0.0005858232,0.03822173,0.000059636015,0.00035971447,0.00046023895,0.0047416496,0.0001999246,0.00533372,0.82726073,0.0038524498,0.118457064],"study_design_scores_gemma":[0.0022893082,0.00016836551,0.12707165,0.00004830859,0.000021349713,0.00072622136,0.0003304635,0.0023083151,0.00021084056,0.866504,0.00020342386,0.00011771912],"about_ca_topic_score_codex":0.000015296018,"about_ca_topic_score_gemma":0.00006126324,"teacher_disagreement_score":0.118339345,"about_ca_system_score_codex":0.000015760088,"about_ca_system_score_gemma":0.00004300458,"threshold_uncertainty_score":0.33420017},"labels":[],"label_agreement":null},{"id":"W1987313842","doi":"10.1016/j.jalgebra.2007.08.032","title":"Parabolic and quasiparabolic subgroups of free partially commutative groups","year":2007,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Commutative property; Graph; Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.02919228628687072,"score_gpt":0.3082778560361341,"score_spread":0.2790855697492634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987313842","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9854157,0.0014921724,0.011277776,0.00055246515,0.00024680424,0.00010497234,0.0000055478463,0.000013305733,0.00089125143],"genre_scores_gemma":[0.9913993,0.00016142151,0.007962658,0.00013935589,0.00024766056,8.259295e-7,5.6734973e-7,0.000021581242,0.00006664483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979092,0.00012638273,0.0010819254,0.00012543303,0.0004077561,0.00034930458],"domain_scores_gemma":[0.99659044,0.0015490829,0.0010785485,0.0002969095,0.00027935597,0.00020567582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018989611,0.0001826676,0.0006975701,0.00047562408,0.000067087836,0.000016426855,0.00039749208,0.00014065272,0.00010706028],"category_scores_gemma":[0.0014606336,0.00014571374,0.00016410516,0.0004928591,0.00028365946,0.00017797053,0.00010984256,0.00038426268,0.000004884734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00051351916,0.0008762573,0.033437777,0.00019541715,0.0005893707,0.00025886716,0.008715986,0.0000050881354,0.0023850775,0.93348354,0.004967047,0.01457203],"study_design_scores_gemma":[0.002799698,0.0010259526,0.12714471,0.00008779024,0.000204187,0.0008305191,0.0024281228,0.000013279432,0.0076542217,0.8564545,0.0011041632,0.00025283732],"about_ca_topic_score_codex":0.000021638667,"about_ca_topic_score_gemma":0.000059914884,"teacher_disagreement_score":0.09370693,"about_ca_system_score_codex":0.000026904509,"about_ca_system_score_gemma":0.000074913674,"threshold_uncertainty_score":0.5942034},"labels":[],"label_agreement":null},{"id":"W1987653763","doi":"10.1090/s0002-9947-2015-06252-7","title":"Sutured Khovanov homology, Hochschild homology, and the Ozsváth-Szabó spectral sequence","year":2015,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science; Mathematics","score_opus":0.03555602877712984,"score_gpt":0.29223413729284947,"score_spread":0.25667810851571965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987653763","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6589983,0.0024111697,0.27138135,0.059097312,0.0010376417,0.0024023785,0.00029184215,0.00023676515,0.004143224],"genre_scores_gemma":[0.9637295,0.00047938523,0.03253743,0.0010080986,0.00015733749,0.00006260749,0.0000024450928,0.00006651311,0.0019566976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996008,0.00082100276,0.0010902052,0.0005771261,0.00063779246,0.0008658655],"domain_scores_gemma":[0.99399626,0.003101106,0.000947427,0.0014109609,0.00021816844,0.00032608715],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001911769,0.0005655718,0.001635238,0.00008777299,0.00057581795,0.00005955931,0.001230746,0.00031634915,0.00033830447],"category_scores_gemma":[0.000945019,0.00032997492,0.0012088958,0.0015769657,0.016261477,0.00012343406,0.00016670866,0.0013597712,0.000071124414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010713054,0.0038561283,0.000845664,0.0015879181,0.005487499,0.000024090317,0.05247702,0.0003534256,0.0006877131,0.90633196,0.01848854,0.008788728],"study_design_scores_gemma":[0.005111527,0.00083212537,0.0011439725,0.00016800892,0.0025625636,0.0013278049,0.026576297,0.0054638563,0.0006691846,0.9545756,0.0007797873,0.0007892579],"about_ca_topic_score_codex":0.00060380955,"about_ca_topic_score_gemma":0.00003774042,"teacher_disagreement_score":0.3047312,"about_ca_system_score_codex":0.00016200445,"about_ca_system_score_gemma":0.0003171287,"threshold_uncertainty_score":0.99991524},"labels":[],"label_agreement":null},{"id":"W1988832114","doi":"10.4153/cmb-2006-057-5","title":"On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Dehn surgery; Knot (papermaking); Klein bottle; Real projective plane; Pure mathematics; Projective plane; Combinatorics; Projective test; Geometry; Projective space; Collineation","score_opus":0.012208375111800483,"score_gpt":0.23882381293173693,"score_spread":0.22661543781993645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988832114","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76701176,0.000036787405,0.0030880794,0.0024508652,0.00019866925,0.0003646045,0.000036135138,0.00009605861,0.22671701],"genre_scores_gemma":[0.9625874,0.0000017516213,0.007945025,0.00043929653,0.0001608092,0.000044763034,0.000018725263,0.00006099959,0.028741226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976264,0.000061283485,0.00059762044,0.00040706515,0.0003246036,0.0009830247],"domain_scores_gemma":[0.99689037,0.00192976,0.00013939025,0.00045658313,0.0000933442,0.00049056695],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00058273855,0.0003446397,0.00061081373,0.000359616,0.00032926002,0.00010466811,0.00030373342,0.00021962286,0.021868996],"category_scores_gemma":[0.0017909915,0.0002956915,0.00016312976,0.00043723168,0.00022533251,0.000038126742,0.000044428645,0.0003190879,0.0068655866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012965976,0.00016365827,0.00086617883,0.00017447383,0.000034992223,0.00012917808,0.00026842416,0.000018591894,0.000036712976,0.75987256,0.23817903,0.00024322933],"study_design_scores_gemma":[0.0006781873,0.00017660689,0.0012106226,0.00026695605,0.000067582725,0.00007905002,0.0009980634,0.0005455091,0.0010386897,0.9494609,0.044741277,0.0007365176],"about_ca_topic_score_codex":0.010523365,"about_ca_topic_score_gemma":0.004218645,"teacher_disagreement_score":0.19797578,"about_ca_system_score_codex":0.00020581324,"about_ca_system_score_gemma":0.00021480593,"threshold_uncertainty_score":0.9999495},"labels":[],"label_agreement":null},{"id":"W1989710077","doi":"10.4153/cmb-2008-051-x","title":"A Result in Surgery Theory","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Ministero dell’Istruzione, dell’Università e della Ricerca; Università Degli Studi di Modena e Reggio Emila","keywords":"Mathematics; Homotopy; Rank (graph theory); Fundamental group; Conjecture; Novikov self-consistency principle; Homotopy group; Manifold (fluid mechanics); Pure mathematics; Group (periodic table); Topological group; Whitehead theorem; Combinatorics; Topology (electrical circuits)","score_opus":0.06147045404694892,"score_gpt":0.25926735814163576,"score_spread":0.19779690409468684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989710077","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87150043,0.0001882795,0.0016915266,0.009450322,0.00015503234,0.00037883024,0.000017611263,0.00011431754,0.11650365],"genre_scores_gemma":[0.9843655,0.000016863543,0.0030152083,0.0010619895,0.00007936541,0.000037679998,0.000003985325,0.000036837795,0.011382565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816614,0.00017814184,0.0005228986,0.00026943022,0.00019389245,0.00066947314],"domain_scores_gemma":[0.9950021,0.004012354,0.00007069553,0.00039043595,0.00004164855,0.00048278598],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011678473,0.00018221122,0.0004717808,0.0006226433,0.00011230766,0.000012012209,0.00022030425,0.00018139661,0.02459713],"category_scores_gemma":[0.008557492,0.00016381958,0.00012049143,0.000516515,0.00024178658,0.00001982901,0.000031113905,0.00026919573,0.00863094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012996682,0.000100457844,0.00090912683,0.000083517465,0.000017421633,0.00086765626,0.0006137781,3.8900728e-7,0.0000026381717,0.81808305,0.17850469,0.00080426683],"study_design_scores_gemma":[0.00026679746,0.000016964299,0.0016692679,0.00006937134,0.000010370464,0.00036149131,0.00024167149,0.00001268242,0.000028256716,0.9527977,0.04425835,0.0002670772],"about_ca_topic_score_codex":0.00079816394,"about_ca_topic_score_gemma":0.0011984132,"teacher_disagreement_score":0.13471463,"about_ca_system_score_codex":0.00014085119,"about_ca_system_score_gemma":0.00033257218,"threshold_uncertainty_score":0.9997938},"labels":[],"label_agreement":null},{"id":"W1990432633","doi":"10.1090/s0002-9939-2015-12297-6","title":"Cores for quasiconvex actions","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Israel Science Foundation","keywords":"Quasiconvex function; Regular polygon; Core (optical fiber); Group (periodic table); Mathematics; Pure mathematics; Cube (algebra); Combinatorics; Computer science; Convex analysis; Convex optimization; Geometry; Physics; Telecommunications","score_opus":0.10239454592688042,"score_gpt":0.35024200495747027,"score_spread":0.24784745903058986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990432633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97374034,0.000022401962,0.0113676,0.004303788,0.00010638788,0.00062356004,0.000013170411,0.00012329388,0.009699473],"genre_scores_gemma":[0.87649006,0.0000051091038,0.12158367,0.00034946305,0.000117154734,0.00008759142,3.576125e-7,0.000030349527,0.0013362655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887574,0.00000623466,0.00034013076,0.00018411184,0.00030539714,0.0002883891],"domain_scores_gemma":[0.998217,0.00069244986,0.00049333787,0.0001463508,0.0003268992,0.00012396797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005682432,0.00014491667,0.00044856285,0.000028684388,0.0001061109,0.000020631329,0.0004221986,0.00005296767,0.000026029536],"category_scores_gemma":[0.0029422927,0.000092046466,0.00040224846,0.00058136566,0.00073517044,0.000072376155,0.0001508228,0.00014172972,0.000009991902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025598529,0.00029475865,0.0013667287,0.00031150982,0.00013413119,2.6438014e-8,0.0023124563,3.1407777e-7,0.0009391052,0.88940406,0.104437426,0.0007738681],"study_design_scores_gemma":[0.00035766835,0.00016678951,0.00030435575,0.000027951246,0.00010818289,0.0000110926985,0.009147289,0.0004898902,0.0024162035,0.9849048,0.0019340898,0.00013166235],"about_ca_topic_score_codex":0.000008320794,"about_ca_topic_score_gemma":2.3444636e-7,"teacher_disagreement_score":0.11021607,"about_ca_system_score_codex":0.0000540373,"about_ca_system_score_gemma":0.00004753311,"threshold_uncertainty_score":0.3753546},"labels":[],"label_agreement":null},{"id":"W1990699128","doi":"10.1023/b:matn.0000036736.86809.69","title":"Banach--Mazur Compacta are Aleksandrov Compactifications of Q-manifolds","year":2004,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Geometric and Algebraic Topology","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; Russian Foundation for Basic Research","keywords":"Mathematics; Compactification (mathematics); Pure mathematics; Manifold (fluid mechanics); Mathematical analysis","score_opus":0.08066001060337566,"score_gpt":0.3300128310363261,"score_spread":0.24935282043295046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990699128","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85781944,0.000109111636,0.1253763,0.0040118573,0.0001100319,0.00043568877,0.00004345662,0.00021078101,0.011883348],"genre_scores_gemma":[0.9654793,0.000004697409,0.034160163,0.0000755949,0.000049752663,0.000013520817,0.000005705682,0.000029197812,0.00018204021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983992,0.000049812043,0.00063152396,0.00024375766,0.00033153608,0.00034415035],"domain_scores_gemma":[0.99662757,0.0021961387,0.000310165,0.0005904389,0.00011747999,0.00015820848],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030623775,0.00021818306,0.00064713164,0.00021015138,0.000100043355,0.000024913086,0.00032522832,0.00014032447,0.0009270233],"category_scores_gemma":[0.0030245187,0.000176108,0.00017281626,0.0004994749,0.000275303,0.00008291182,0.0000719357,0.00018715348,0.00032350898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008860809,0.0009901026,0.00092380214,0.00034675054,0.00007991343,0.000008530704,0.00059938204,0.000028444214,0.0005474729,0.99552256,0.0007067981,0.00023739361],"study_design_scores_gemma":[0.0006780443,0.00008524166,0.0037955604,0.00014855125,0.00009311757,0.000046268222,0.0005331954,0.00011274478,0.0050852452,0.9890761,0.00013045862,0.00021548811],"about_ca_topic_score_codex":0.000026644058,"about_ca_topic_score_gemma":0.000015161537,"teacher_disagreement_score":0.1076599,"about_ca_system_score_codex":0.00004777153,"about_ca_system_score_gemma":0.00004690815,"threshold_uncertainty_score":0.9999863},"labels":[],"label_agreement":null},{"id":"W1991048298","doi":"10.1016/j.aim.2004.12.007","title":"Rational homology spheres and the four-ball genus of knots","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":47,"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":"Imperial College London; McMaster University","keywords":"Mathematics; Floer homology; Khovanov homology; Bounding overwatch; Homology (biology); Pairing; Ball (mathematics); Combinatorics; Pure mathematics; Morse homology; Cellular homology; Topology (electrical circuits); Mathematical analysis; Algebra over a field; Symplectic geometry; Artificial intelligence; Computer science","score_opus":0.023864550621229563,"score_gpt":0.3037460355950943,"score_spread":0.2798814849738647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991048298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90787137,0.012706336,0.04512307,0.0022008761,0.00025839993,0.00074211205,0.000011884461,0.000059197886,0.03102676],"genre_scores_gemma":[0.85033935,0.00063267554,0.14809565,0.00009852412,0.00008337296,0.000025749197,9.248985e-7,0.000013937761,0.00070980756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989935,0.00006890201,0.0004612091,0.00013095123,0.00016210224,0.00018331717],"domain_scores_gemma":[0.99691117,0.0025497763,0.00023568426,0.00023242517,0.000046059253,0.000024876226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043457866,0.00011753021,0.00035611086,0.00008569065,0.000042518197,0.000006741066,0.00019571425,0.00006960771,0.0002855428],"category_scores_gemma":[0.0011528147,0.0000771449,0.00004675131,0.00020786621,0.0004609554,0.00011295802,0.00007519141,0.00012444568,0.000012691571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018497076,0.0001258838,0.00059376936,0.00015376299,0.000019040026,0.0000037355953,0.0011165522,0.00010443815,0.00001148045,0.9817794,0.00021176525,0.015861686],"study_design_scores_gemma":[0.0011742427,0.000031296488,0.00026563345,0.000031153417,0.000024877201,0.00009189785,0.00073047116,0.0014788541,0.00013488343,0.9919678,0.003974831,0.00009404907],"about_ca_topic_score_codex":0.0000037567718,"about_ca_topic_score_gemma":0.00013241952,"teacher_disagreement_score":0.10297258,"about_ca_system_score_codex":0.000015293097,"about_ca_system_score_gemma":0.00002192526,"threshold_uncertainty_score":0.31458777},"labels":[],"label_agreement":null},{"id":"W1991224688","doi":"10.4153/cjm-2003-034-2","title":"An Ordering for Groups of Pure Braids and Fibre-Type Hyperplane Arrangements","year":2003,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"Université de Genève","keywords":"Braid; Mathematics; Hyperplane; Braid group; Invariant (physics); Generalization; Pure mathematics; Type (biology); Combinatorics; Combing; Braid theory; Mathematical analysis; Mathematical physics","score_opus":0.03947280170454487,"score_gpt":0.28304327185932765,"score_spread":0.24357047015478278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991224688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9859147,0.00041739643,0.012640239,0.000091885675,0.0002502264,0.00016256642,0.000016819722,0.0000044281146,0.0005017324],"genre_scores_gemma":[0.91019195,0.0000150413725,0.08952109,0.000040742747,0.000056473964,0.0000012122517,0.0000013638667,0.000023635344,0.00014851359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901545,0.000034786797,0.00048727123,0.000084010004,0.00012779477,0.0002507121],"domain_scores_gemma":[0.9985673,0.00034570618,0.00035778448,0.00017901594,0.00021338368,0.00033681456],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006469265,0.00012277428,0.0003960274,0.00032707056,0.000060986793,0.000023129573,0.00017543373,0.00009065896,0.00014315206],"category_scores_gemma":[0.0015372401,0.00010582567,0.000060602604,0.00022023484,0.00007261308,0.00009516261,0.000005197942,0.000112288115,0.0000013201768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045269946,0.00059043715,0.016052516,0.003798955,0.00083817623,0.00018867115,0.015542294,0.000059969327,0.0041714655,0.93934566,0.011373261,0.007993331],"study_design_scores_gemma":[0.0026294563,0.0020056132,0.0010440218,0.00041192165,0.00043823465,0.002108308,0.00965234,0.0002942982,0.0030723305,0.9666601,0.011161206,0.0005222119],"about_ca_topic_score_codex":0.000034009252,"about_ca_topic_score_gemma":0.00077223766,"teacher_disagreement_score":0.07688085,"about_ca_system_score_codex":0.00003002996,"about_ca_system_score_gemma":0.00026881104,"threshold_uncertainty_score":0.43154454},"labels":[],"label_agreement":null},{"id":"W1991233937","doi":"10.1002/jgt.20109","title":"Two maps with large representativity on one surface","year":2005,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Conjecture; Torus; Mathematics; Counterexample; Surface (topology); Constant (computer programming); Face (sociological concept); Discrete mathematics; Geometry; Computer science","score_opus":0.03166642595860378,"score_gpt":0.3169013481642758,"score_spread":0.28523492220567204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991233937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9778648,0.00026867096,0.010179629,0.001222153,0.00011939183,0.000078979705,0.0000067082397,0.000019445679,0.010240193],"genre_scores_gemma":[0.9850707,0.00003588763,0.013026529,0.0002710299,0.00019988234,4.8602584e-7,3.9214578e-7,0.0000175454,0.0013775133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986671,0.00030015977,0.00034249848,0.00011409476,0.00033853954,0.00023759808],"domain_scores_gemma":[0.9979313,0.0011640484,0.00044745786,0.00024268452,0.00011423348,0.000100261015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020014553,0.000120241,0.0003348718,0.0002535217,0.0000742659,0.000014103502,0.00019739776,0.00005033176,0.00040960248],"category_scores_gemma":[0.00041354517,0.00008143697,0.00013631601,0.00036100007,0.00010403976,0.00012326485,0.000029548464,0.0003691614,0.000027226652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00060513313,0.0009006109,0.00352059,0.00001959902,0.00025591542,0.00007172511,0.0005827738,0.000074581316,0.00026112125,0.98664105,0.004613424,0.0024535013],"study_design_scores_gemma":[0.0022495454,0.00058570615,0.0023376052,0.00006402682,0.00009740466,0.00023315616,0.0007224219,0.000003948486,0.002567229,0.9891315,0.0018680663,0.00013935132],"about_ca_topic_score_codex":0.0000020618036,"about_ca_topic_score_gemma":0.000010755372,"teacher_disagreement_score":0.00886268,"about_ca_system_score_codex":0.000026311915,"about_ca_system_score_gemma":0.000035774814,"threshold_uncertainty_score":0.448486},"labels":[],"label_agreement":null},{"id":"W1991335486","doi":"10.1142/s0218216513400063","title":"CLASSIFICATION OF FLAT VIRTUAL PURE TANGLES","year":2013,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Knot theory; Mathematics; Skein relation; Knot invariant; Tricolorability; Finite type invariant; Pure mathematics; Quotient; Preprint; Knot (papermaking); Invariant (physics); Algebra over a field; Mathematical physics; Physics; Mathematical analysis; Quantum mechanics","score_opus":0.034602020302263566,"score_gpt":0.2936435234644748,"score_spread":0.25904150316221125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991335486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9821554,0.00077161094,0.013882025,0.0014338334,0.00013803483,0.00013844889,0.0000063957036,0.000010384719,0.0014639003],"genre_scores_gemma":[0.997281,0.00012349487,0.00089592236,0.00003545839,0.00009285286,0.000004862653,0.0000015266907,0.000008448951,0.0015564185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989905,0.00018043304,0.0005090729,0.00008002226,0.00013805421,0.00010193379],"domain_scores_gemma":[0.9977614,0.001084478,0.00054664374,0.00015487769,0.00037547637,0.0000771179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007595071,0.000080924474,0.00022001778,0.0002349036,0.00008200733,0.00001710893,0.00016770941,0.00008593861,0.00044950607],"category_scores_gemma":[0.0016599814,0.000060234728,0.000074357355,0.0002584343,0.0001133728,0.00020948572,0.000019315374,0.0001598023,0.000026209575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015260064,0.00009739888,0.00014388375,0.000020051317,0.000046969042,3.9053e-7,0.0005463893,0.000001328629,0.020138778,0.97085106,0.0013754998,0.006762969],"study_design_scores_gemma":[0.00043068954,0.00023784016,0.021312883,0.000045658355,0.00011760333,0.00009338105,0.0036854737,0.0001531315,0.0037699288,0.96815026,0.0018895712,0.000113579204],"about_ca_topic_score_codex":5.505998e-7,"about_ca_topic_score_gemma":3.815129e-7,"teacher_disagreement_score":0.021169,"about_ca_system_score_codex":0.000012840212,"about_ca_system_score_gemma":0.00004582076,"threshold_uncertainty_score":0.4921776},"labels":[],"label_agreement":null},{"id":"W1991554829","doi":"10.4171/ggd/76","title":"Random subgroups of Thompson’s group $F$","year":2009,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"","keywords":"Mathematics; Group (periodic table); Combinatorics; Discrete mathematics; Physics","score_opus":0.013596949501893068,"score_gpt":0.25780685551488824,"score_spread":0.24420990601299516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991554829","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93278855,0.0005883208,0.06072507,0.000520929,0.0002517241,0.00022542295,0.000029389474,0.00010148773,0.004769104],"genre_scores_gemma":[0.989912,0.00014053288,0.009022081,0.00020831125,0.0001069539,0.000004392223,0.000028529019,0.00001769803,0.00055952056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842876,0.00007353911,0.00050333835,0.00033085977,0.00025835805,0.00040515585],"domain_scores_gemma":[0.9985297,0.00066688884,0.00022765831,0.0003729441,0.00006227304,0.00014053345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006374867,0.0002427135,0.0006027667,0.0004941515,0.000111799454,0.000024179117,0.00023315549,0.00022119182,0.00013713981],"category_scores_gemma":[0.0004667443,0.00021242545,0.00014278437,0.0009921956,0.00016203123,0.0001357095,0.00007731318,0.00024421708,0.000007436482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017795128,0.00040035968,0.009440405,0.00013574961,0.000069116046,0.000019911577,0.0002710349,0.000006656484,0.00014416783,0.94899225,0.00044175258,0.039900657],"study_design_scores_gemma":[0.0044794083,0.0009150025,0.066234104,0.00005419921,0.00016743645,0.00017643736,0.0010495344,0.0050670486,0.00009276565,0.92071265,0.00046662975,0.00058478693],"about_ca_topic_score_codex":0.000013356618,"about_ca_topic_score_gemma":0.000020599362,"teacher_disagreement_score":0.05712343,"about_ca_system_score_codex":0.000038110913,"about_ca_system_score_gemma":0.000014289359,"threshold_uncertainty_score":0.86624587},"labels":[],"label_agreement":null},{"id":"W1991876230","doi":"10.1007/s00209-012-1134-5","title":"The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane","year":2013,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","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; Symplectomorphism; Pure mathematics; Symplectic geometry; Homotopy group; Quantum cohomology; Complex projective space; Projective plane; Symplectic manifold; Homotopy; Projective space; Cohomology; Algebra over a field; Topology (electrical circuits); Geometry; Equivariant cohomology; Combinatorics; Projective test","score_opus":0.018726520841965185,"score_gpt":0.2497298735333136,"score_spread":0.23100335269134842,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991876230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98008734,0.00057396985,0.0009158897,0.0007026367,0.0002479002,0.0016538621,0.00005925765,0.00005479482,0.015704343],"genre_scores_gemma":[0.9946394,0.00004263145,0.0039278236,0.000035780577,0.00005733945,0.0001269956,0.0000029657729,0.000048924718,0.0011181703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99723136,0.00023998419,0.0011264565,0.00029898493,0.00064034254,0.00046288632],"domain_scores_gemma":[0.9945002,0.002704634,0.0011968942,0.0011689183,0.0003560183,0.00007330062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008912141,0.00032001347,0.00083530357,0.00018830143,0.00017788602,0.000021712067,0.0010459438,0.00022086615,0.0008267957],"category_scores_gemma":[0.0018755739,0.00017210186,0.0003143179,0.0008962499,0.0006870856,0.0001214145,0.0003705005,0.0003499685,0.000048000536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022483435,0.00042236783,0.0019416462,0.00060456555,0.0003469618,0.0000012513061,0.0027300192,6.8839853e-7,0.008111,0.97771937,0.00680174,0.0012979321],"study_design_scores_gemma":[0.0027254936,0.0008395925,0.02532271,0.00076977664,0.0005717788,0.0001982267,0.0039646165,0.00035121894,0.23858255,0.72189325,0.0040076934,0.0007730795],"about_ca_topic_score_codex":0.00021078905,"about_ca_topic_score_gemma":0.000033058554,"teacher_disagreement_score":0.2558261,"about_ca_system_score_codex":0.000006207583,"about_ca_system_score_gemma":0.000120558594,"threshold_uncertainty_score":0.90528333},"labels":[],"label_agreement":null},{"id":"W1992569440","doi":"10.1142/s0218216500000244","title":"PERSISTENT INVARIANTS OF TANGLES","year":2000,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"University of British Columbia; National Science Foundation","keywords":"Mathematics; Bracket polynomial; Alexander polynomial; Bracket; Pure mathematics; Link (geometry); Algebra over a field; Polynomial; Knot (papermaking); Combinatorics; Discrete mathematics; Knot theory; Mathematical analysis; Square-free polynomial; Matrix polynomial","score_opus":0.03861008953804656,"score_gpt":0.29324251429416726,"score_spread":0.2546324247561207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992569440","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9894209,0.0018442256,0.0016064551,0.00075244054,0.000073327945,0.00006759579,0.00000903196,0.0000059540093,0.006220085],"genre_scores_gemma":[0.9954252,0.0003252955,0.00083293644,0.000045427652,0.000054370925,8.189985e-7,4.975657e-7,0.000005345243,0.0033100904],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923986,0.00014337774,0.000371287,0.00005818183,0.000102380865,0.000084899286],"domain_scores_gemma":[0.9988142,0.00064107,0.00024448612,0.00010857908,0.00012956042,0.0000620806],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007690153,0.000059317626,0.00018968439,0.00014435228,0.000069280504,0.000007636784,0.0001295668,0.000048488313,0.001377262],"category_scores_gemma":[0.00073527073,0.000044589728,0.000097470205,0.0001937459,0.00007903662,0.00008612791,0.000009561524,0.00010656235,0.0000119811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059846847,0.00022118974,0.000059035367,0.000028082275,0.00010298113,0.0000025107163,0.0011807486,0.000007919927,0.0010445609,0.9847956,0.00055102166,0.011946521],"study_design_scores_gemma":[0.0009105864,0.000427272,0.0051111523,0.00009531689,0.00033107953,0.0004501844,0.0032043708,0.000085782325,0.0018406532,0.9782921,0.009095394,0.00015607628],"about_ca_topic_score_codex":4.3015595e-7,"about_ca_topic_score_gemma":2.5177027e-7,"teacher_disagreement_score":0.011790444,"about_ca_system_score_codex":0.000008478015,"about_ca_system_score_gemma":0.000038242782,"threshold_uncertainty_score":0.9995356},"labels":[],"label_agreement":null},{"id":"W1992829922","doi":"10.1016/j.jpaa.2006.03.025","title":"The isomorphism problem for finitely generated fully residually free groups","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University; Carleton University","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Finitely-generated abelian group; Group isomorphism; Decidability; Invariant (physics); Group (periodic table); Pure mathematics; Combinatorics; Discrete mathematics; Outer automorphism group; Automorphism group; Crystallography; Crystal structure","score_opus":0.020313236576689122,"score_gpt":0.24657146141118694,"score_spread":0.2262582248344978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992829922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9656711,0.0024871246,0.016940549,0.008522117,0.0003588952,0.000739783,0.000030700103,0.00004941356,0.0052003087],"genre_scores_gemma":[0.9703339,0.00009148828,0.025778487,0.0003995278,0.0014135012,0.00003301322,0.000006670253,0.000045637975,0.0018977862],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845755,0.000038243,0.0007223923,0.0001592805,0.00027933109,0.00034320253],"domain_scores_gemma":[0.9979434,0.000934622,0.00061445846,0.00022483636,0.00019502288,0.00008766752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008832352,0.00019050657,0.00038123535,0.00015037463,0.00032070812,0.00010405118,0.00036953724,0.00015027578,0.00003132806],"category_scores_gemma":[0.00020212906,0.000117071555,0.00012437327,0.00027711637,0.00012255741,0.00006666604,0.0000715362,0.0002880495,0.0000037778984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013078621,0.00010188055,0.000048557737,0.00004355095,0.000095190924,0.000012157143,0.00011965891,0.000009922159,0.002504313,0.8411325,0.15188968,0.0039117667],"study_design_scores_gemma":[0.0018015248,0.00026760125,0.00047899087,0.000016702505,0.00011313199,0.000154707,0.00025749873,0.00001312649,0.0019869455,0.97352225,0.02122605,0.00016150116],"about_ca_topic_score_codex":0.0000030865583,"about_ca_topic_score_gemma":0.000035213092,"teacher_disagreement_score":0.13238968,"about_ca_system_score_codex":0.000019445117,"about_ca_system_score_gemma":0.00008262825,"threshold_uncertainty_score":0.47740394},"labels":[],"label_agreement":null},{"id":"W1992837242","doi":"10.1063/1.3244643","title":"Interplay between writhe and knotting for swollen and compact polymers","year":2009,"lang":"en","type":"article","venue":"The Journal of Chemical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Writhe; Knot (papermaking); Simple cubic lattice; Monte Carlo method; Polygon (computer graphics); Scaling; Twist; Mathematics; Linking number; Statistical physics; Topology (electrical circuits); Physics; Geometry; Combinatorics; Statistics","score_opus":0.03431329314528982,"score_gpt":0.33703600077362617,"score_spread":0.30272270762833636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992837242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99253225,0.0002887089,0.0043983976,0.00232461,0.00002458353,0.00006492689,0.0000033533229,0.00000579334,0.00035734725],"genre_scores_gemma":[0.99809706,0.000017546892,0.0012954153,0.00015455094,0.00039400576,1.0866914e-7,3.616954e-7,0.0000070316055,0.000033897282],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994365,0.000027599499,0.00024473778,0.00005050919,0.00010109401,0.00013958664],"domain_scores_gemma":[0.9982167,0.0013658215,0.00023154217,0.00007482559,0.000042918677,0.000068229856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034278972,0.00008683321,0.0002753238,0.000027516508,0.000043137607,0.000012385882,0.00012925436,0.000041798194,0.0000046915316],"category_scores_gemma":[0.00022942042,0.000051525978,0.00006016846,0.00008275261,0.00009784771,0.000055244724,0.00002281778,0.00019817636,2.9461023e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010716307,0.0007021516,0.0048985058,0.0003736735,0.0012357149,0.000009709449,0.013024135,0.0000066643242,0.21679403,0.08659859,0.02874116,0.64654404],"study_design_scores_gemma":[0.0012667215,0.00037273206,0.0008176292,0.000079830446,0.00028878392,0.000099164325,0.0004476848,0.000095799885,0.060693096,0.9353597,0.00033392716,0.00014489009],"about_ca_topic_score_codex":0.0000011226819,"about_ca_topic_score_gemma":2.3996181e-8,"teacher_disagreement_score":0.84876114,"about_ca_system_score_codex":0.000011370996,"about_ca_system_score_gemma":0.000012587921,"threshold_uncertainty_score":0.21011683},"labels":[],"label_agreement":null},{"id":"W1993049165","doi":"10.1007/s00039-004-0454-y","title":"Cubulating small cancellation groups","year":2004,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":156,"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; Codimension; Combinatorics; Finitely-generated abelian group; Group (periodic table); Finitely generated group; Word (group theory); Hyperbolic group; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry; Hyperbolic manifold; Hyperbolic function","score_opus":0.042464066727456444,"score_gpt":0.25080036060704286,"score_spread":0.2083362938795864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993049165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66310835,0.0008629084,0.3329586,0.00045893606,0.00016641642,0.00005990664,0.000006178183,0.000078812554,0.0022998864],"genre_scores_gemma":[0.9923154,0.000049923154,0.0049508354,0.00007529503,0.00020781062,0.00000792537,0.000029141807,0.000010067784,0.002353592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989434,0.000017356997,0.00028089678,0.00031032306,0.00023129159,0.00021671903],"domain_scores_gemma":[0.99924356,0.00034978136,0.00010016112,0.00013378407,0.000083929066,0.000088772096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031326234,0.00013537164,0.00028399203,0.002402702,0.00015973831,0.000039472623,0.00004787303,0.00008990736,0.0005401027],"category_scores_gemma":[0.00031503662,0.00011226686,0.00018082983,0.008799148,0.000051568662,0.000057569592,0.00004712357,0.00012989284,0.00007146758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051548435,0.00032249172,0.1658371,0.00018407009,0.005432356,0.000035539357,0.00043882462,0.02177178,0.00007377874,0.7618217,0.0015651177,0.042465713],"study_design_scores_gemma":[0.00085955416,0.00011134874,0.2368678,0.000012697613,0.0032731127,0.000037995873,0.00039238695,0.0025777454,0.00005664814,0.7537124,0.0016781661,0.0004201357],"about_ca_topic_score_codex":0.00037386687,"about_ca_topic_score_gemma":0.00011881591,"teacher_disagreement_score":0.32920706,"about_ca_system_score_codex":0.00007284687,"about_ca_system_score_gemma":0.000030114556,"threshold_uncertainty_score":0.59137464},"labels":[],"label_agreement":null},{"id":"W1993810186","doi":"10.4153/cmb-2007-048-1","title":"Concordance des nœuds de dimension 4","year":2007,"lang":"fr","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Concordance; Pure mathematics; Dimension (graph theory); Combinatorics; Humanities; Medicine; Internal medicine","score_opus":0.02382413165673555,"score_gpt":0.2730643705718009,"score_spread":0.24924023891506533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993810186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6038968,0.008418523,0.12098042,0.032807626,0.0012543437,0.0008079486,0.00007452772,0.00016236684,0.23159742],"genre_scores_gemma":[0.77414775,0.000125087,0.07952589,0.0037499394,0.00063227746,0.000018264727,0.000008179941,0.0001297631,0.14166284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961976,0.00016279356,0.00081383454,0.00043776623,0.00030266106,0.0020853842],"domain_scores_gemma":[0.99456745,0.0023858754,0.00016563211,0.00056776195,0.00016997941,0.002143325],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0024931927,0.00041031188,0.0006427658,0.0003986166,0.00033995835,0.000072176495,0.0004093539,0.000590358,0.0742588],"category_scores_gemma":[0.0048006517,0.00042743204,0.0002041664,0.00063527474,0.0011816724,0.000042965636,0.000082366874,0.0005948394,0.03512773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015716781,0.00020199017,0.0005035774,0.00085625687,0.00007331169,0.00097011414,0.0014977198,0.0000023758762,0.000058604903,0.86154926,0.11441297,0.019858098],"study_design_scores_gemma":[0.0004863634,0.00014398994,0.0008752038,0.00051177345,0.00011992682,0.0007487087,0.001116077,0.00014342598,0.00039340564,0.6344835,0.36050245,0.00047514198],"about_ca_topic_score_codex":0.006867641,"about_ca_topic_score_gemma":0.008744677,"teacher_disagreement_score":0.24608947,"about_ca_system_score_codex":0.001054164,"about_ca_system_score_gemma":0.00060793007,"threshold_uncertainty_score":0.9998177},"labels":[],"label_agreement":null},{"id":"W1993960344","doi":"10.1142/s0218216509007336","title":"ALMOST UNKNOTTED EMBEDDINGS OF GRAPHS IN Z<sup>3</sup> AND HIGHER DIMENSIONAL ANALOGUES","year":2009,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Order (exchange); Mathematical proof; Exponential function; Discrete mathematics; Lattice (music); Geometry; Mathematical analysis","score_opus":0.025307612526802966,"score_gpt":0.29727615170038046,"score_spread":0.2719685391735775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993960344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961345,0.0016355457,0.00025693054,0.0013089147,0.000042605556,0.00007822249,0.000008930868,0.000006955752,0.00052738015],"genre_scores_gemma":[0.9982112,0.00021104311,0.00097405014,0.00014756447,0.000036407386,8.414559e-7,0.0000024852734,0.000006078682,0.0004103109],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890894,0.0001728899,0.00053481606,0.000110833476,0.00013856626,0.00013397771],"domain_scores_gemma":[0.9982898,0.0010116741,0.00033645736,0.00010841084,0.00016945148,0.00008416798],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000934809,0.00010513733,0.00031335402,0.0004764519,0.00007199354,0.000011402829,0.00011080267,0.00008742448,0.00010905307],"category_scores_gemma":[0.0007141265,0.00008143697,0.00006105532,0.00047290247,0.00012153808,0.00014377068,0.000018709863,0.00020427762,0.0000016538444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079620426,0.00025929112,0.0005930737,0.000020630632,0.00004783736,0.00000629333,0.0009721461,0.000023325949,0.0015517314,0.99336416,0.0004917616,0.0025901205],"study_design_scores_gemma":[0.0007846955,0.0002575719,0.0645388,0.00008387383,0.00008823512,0.00012145947,0.0006527043,0.00017396249,0.0004148689,0.9322341,0.00053577585,0.00011396298],"about_ca_topic_score_codex":0.000001118344,"about_ca_topic_score_gemma":5.716192e-7,"teacher_disagreement_score":0.063945726,"about_ca_system_score_codex":0.000010690058,"about_ca_system_score_gemma":0.000032756463,"threshold_uncertainty_score":0.33209032},"labels":[],"label_agreement":null},{"id":"W1994502794","doi":"10.1016/j.jalgebra.2005.04.001","title":"Implicit function theorem over free groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":71,"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; Implicit function theorem; Function (biology); Quadratic equation; Algebraic number; Parametrization (atmospheric modeling); Group (periodic table); Simple (philosophy); Algebraic function; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.0177166862500824,"score_gpt":0.2740049267148079,"score_spread":0.25628824046472554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994502794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9773696,0.0004409523,0.013734194,0.0021322737,0.0005835642,0.0000681011,0.0000024749588,0.000029696548,0.0056391503],"genre_scores_gemma":[0.991791,0.00003416853,0.0053094784,0.0006396534,0.0014873325,9.545865e-7,4.3889273e-7,0.000022375178,0.00071459834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986853,0.000057667166,0.00056530524,0.00010695787,0.00033740193,0.00024735086],"domain_scores_gemma":[0.9985761,0.0003830949,0.0005004525,0.00028935203,0.00013264058,0.000118351854],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006384598,0.00013614052,0.00032150545,0.00031028103,0.0000642981,0.00002727413,0.00032940632,0.000118600314,0.0019132253],"category_scores_gemma":[0.0006360954,0.000100390054,0.00021262458,0.0003017917,0.000053413456,0.0002570424,0.00007075176,0.00032817715,0.00006675972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011945552,0.00024066487,0.0013622425,0.000021331607,0.00019283366,0.000022798475,0.00032280234,0.000007579239,0.00088571926,0.88197047,0.09272838,0.022125756],"study_design_scores_gemma":[0.0013429833,0.00039588273,0.013749501,0.000021802203,0.000121211175,0.00040778003,0.00018811117,0.000024504141,0.0006073471,0.9643666,0.018632554,0.00014173698],"about_ca_topic_score_codex":0.0000026282046,"about_ca_topic_score_gemma":0.0000066555012,"teacher_disagreement_score":0.08239614,"about_ca_system_score_codex":0.00006526417,"about_ca_system_score_gemma":0.00004469025,"threshold_uncertainty_score":0.9989992},"labels":[],"label_agreement":null},{"id":"W1994573055","doi":"10.4171/jems/192","title":"Simply connected minimal symplectic 4-manifolds with signature less than $−1$","year":2009,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Signature (topology); Symplectic geometry; Simply connected space; Sigma; Mathematics; Euler characteristic; Symplectic manifold; Euler's formula; Pure mathematics; Zero (linguistics); Manifold (fluid mechanics); Combinatorics; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.034978487980963265,"score_gpt":0.2739879426086633,"score_spread":0.23900945462770007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994573055","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.925981,0.00052477,0.041640192,0.0071171485,0.00084465917,0.00093636214,0.0000308934,0.00016728001,0.022757703],"genre_scores_gemma":[0.9567772,0.000061409315,0.03987951,0.0007031455,0.0011418308,0.0000026583416,0.0000024151752,0.00014266846,0.0012891615],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954881,0.0010833612,0.0013736062,0.00039323568,0.0010818935,0.00057979306],"domain_scores_gemma":[0.9945999,0.0015179737,0.0022334715,0.0009087374,0.00048417735,0.00025577086],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0029543715,0.0006134778,0.0013077087,0.00010478455,0.00024101818,0.00017098513,0.0018619794,0.00041798397,0.00015480419],"category_scores_gemma":[0.0017513238,0.00032939276,0.0014731013,0.0005097721,0.00033104554,0.0000812716,0.0008757781,0.0030668739,0.000027264618],"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":[0.0007262773,0.007991938,0.0015430145,0.010856719,0.012569203,0.0017551497,0.035964847,0.0010488253,0.0015330155,0.45363516,0.4634243,0.008951561],"study_design_scores_gemma":[0.0017961322,0.00066629355,0.004593764,0.002064895,0.001686296,0.0018341535,0.0022470076,0.00035773532,0.0002072969,0.9829637,0.0007619163,0.00082081166],"about_ca_topic_score_codex":0.0000017887647,"about_ca_topic_score_gemma":0.0000024630822,"teacher_disagreement_score":0.5293285,"about_ca_system_score_codex":0.00017857327,"about_ca_system_score_gemma":0.00025454955,"threshold_uncertainty_score":0.99991584},"labels":[],"label_agreement":null},{"id":"W1995041872","doi":"10.4153/cmb-2007-035-3","title":"Equivariant Cohomology of <i>S</i><sup>1</sup>-Actions on 4-Manifolds","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Fundação para a Ciência e a Tecnologia; Canadian Mathematical Society","keywords":"Mathematics; Equivariant cohomology; Equivariant map; Symplectic geometry; Fixed point; Cohomology; Quantum cohomology; Pure mathematics; Symplectic manifold; Manifold (fluid mechanics); Action (physics); Hamiltonian (control theory); Computation; Algebra over a field; Mathematical analysis; Algorithm","score_opus":0.04583780309904917,"score_gpt":0.2951492195924553,"score_spread":0.24931141649340616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995041872","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39569318,0.00007849827,0.035216615,0.011981246,0.00031658736,0.0008882021,0.00009671992,0.00018508648,0.5555439],"genre_scores_gemma":[0.9866046,0.000002795581,0.0068714074,0.0011257243,0.00015852784,0.00001629653,0.0000071549252,0.000046225887,0.005167295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977619,0.00007979946,0.00071530486,0.0003250752,0.00027604672,0.00084184686],"domain_scores_gemma":[0.9962427,0.0022460406,0.00016048383,0.00056526513,0.00010642984,0.00067910773],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011122106,0.0002508259,0.0005590428,0.00059197895,0.00013826162,0.000015220502,0.00034978054,0.00031580892,0.029951353],"category_scores_gemma":[0.0025899091,0.00022792099,0.00016060336,0.0004550381,0.0002881652,0.000017136334,0.000048025246,0.00033437382,0.0051252916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017084456,0.0001724695,0.000050253668,0.000101307916,0.000057329642,0.00014911243,0.0002884561,0.000007488092,0.000035334422,0.96335906,0.03514441,0.00061770313],"study_design_scores_gemma":[0.0008704867,0.00044200456,0.00030277573,0.00010819082,0.000117785356,0.00035916964,0.0011297619,0.00014447591,0.0009430105,0.8461964,0.1488757,0.00051024783],"about_ca_topic_score_codex":0.00095845055,"about_ca_topic_score_gemma":0.00063554646,"teacher_disagreement_score":0.5909114,"about_ca_system_score_codex":0.00017638318,"about_ca_system_score_gemma":0.0001704444,"threshold_uncertainty_score":0.99564934},"labels":[],"label_agreement":null},{"id":"W1996247713","doi":"10.1006/jabr.2000.8523","title":"Markov Traces and Generic Degrees in Type Bn","year":2001,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Type (biology); Markov chain; Pure mathematics; Algebra over a field; Statistics","score_opus":0.046107521550199995,"score_gpt":0.299076576336385,"score_spread":0.25296905478618503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996247713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942845,0.0029169691,0.00023415108,0.00086464704,0.00022432169,0.000037334492,2.9403105e-7,0.0000064052633,0.0014313392],"genre_scores_gemma":[0.9896777,0.0011154878,0.008312657,0.00009747024,0.00017495432,3.858593e-7,1.3970993e-7,0.000010719118,0.0006104595],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991637,0.000051724586,0.00037835012,0.00007829855,0.00015574988,0.00017218765],"domain_scores_gemma":[0.9992547,0.00028035534,0.00023102634,0.000085927204,0.00007092721,0.000077039425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004274579,0.00008963021,0.00027284925,0.0003395802,0.000025577814,0.000017701273,0.0001263801,0.000073357114,0.00030207742],"category_scores_gemma":[0.00046440586,0.00006751656,0.000047340633,0.00046169877,0.000049223785,0.000113011345,0.000028267703,0.00019201363,0.0000074327695],"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":[0.0009393772,0.0015840012,0.4582555,0.00029829875,0.000554598,0.0035772223,0.004562787,0.00005444208,0.0027762924,0.09186091,0.051753383,0.3837832],"study_design_scores_gemma":[0.0042476435,0.001761284,0.44327205,0.00019531319,0.0001987133,0.008519046,0.0022547853,0.00027085753,0.0005601513,0.50769234,0.030393444,0.00063439424],"about_ca_topic_score_codex":0.0000064375186,"about_ca_topic_score_gemma":0.000024938206,"teacher_disagreement_score":0.41583142,"about_ca_system_score_codex":0.000021086733,"about_ca_system_score_gemma":0.000041264808,"threshold_uncertainty_score":0.33075356},"labels":[],"label_agreement":null},{"id":"W1996300186","doi":"10.4134/jkms.2008.45.4.1007","title":"FACE PAIRING MAPS OF FORD DOMAINS FOR CUSPED HYPERBOLIC 3-MANIFOLDS","year":2008,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Pairing; Mathematics; Cusp (singularity); Face (sociological concept); Construct (python library); Pure mathematics; PARRY; Hyperbolic manifold; Enhanced Data Rates for GSM Evolution; Geometry; Hyperbolic function; Computer science; Artificial intelligence; Sociology","score_opus":0.05200765766752506,"score_gpt":0.2906492532952155,"score_spread":0.23864159562769044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996300186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8345974,0.00014366912,0.16119604,0.0018785854,0.00023808655,0.00047162746,0.00002216012,0.000028423225,0.0014240161],"genre_scores_gemma":[0.8947885,0.00004474128,0.10346735,0.00015935757,0.00026058056,0.000005972102,5.6527244e-7,0.000037512724,0.0012354025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980124,0.000070370486,0.00095799845,0.00012272978,0.0004952263,0.00034125437],"domain_scores_gemma":[0.9967699,0.0016754377,0.0008618901,0.0003602324,0.00021192087,0.00012060439],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011317425,0.00019075512,0.0007079889,0.000053512234,0.00019851723,0.000010529954,0.0006005998,0.0001631451,0.00009680714],"category_scores_gemma":[0.0017136595,0.00011092001,0.0012142743,0.00031966186,0.00029565516,0.000087894965,0.00013900318,0.0003063924,0.000005665439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001289828,0.0019210919,0.0026832211,0.0019321603,0.0014275226,0.00001958951,0.017462056,0.00005217113,0.0025330852,0.79154664,0.17878632,0.0015071173],"study_design_scores_gemma":[0.0014665105,0.00021922904,0.00052341796,0.00015066368,0.00024988237,0.0006355973,0.0018956516,0.00048518562,0.003484876,0.98933464,0.0013797878,0.00017457119],"about_ca_topic_score_codex":0.0000014038728,"about_ca_topic_score_gemma":6.662811e-7,"teacher_disagreement_score":0.19778796,"about_ca_system_score_codex":0.000070641,"about_ca_system_score_gemma":0.00008280644,"threshold_uncertainty_score":0.45231867},"labels":[],"label_agreement":null},{"id":"W1996474115","doi":"10.1007/s00233-014-9658-0","title":"Möbius manifolds, monoids, and retracts of topological groups","year":2014,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Geometric and Algebraic Topology","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 Saskatchewan","funders":"","keywords":"Monoid; Mathematics; Manifold (fluid mechanics); Embedding; Topology (electrical circuits); Torus; Topological group; Group (periodic table); Retract; Boundary (topology); Pure mathematics; Fundamental group; Combinatorics; Mathematical analysis; Geometry; Physics; Computer science","score_opus":0.019481173655320295,"score_gpt":0.2653046604070936,"score_spread":0.24582348675177332,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996474115","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9827105,0.00032684777,0.0036319105,0.0011245438,0.0001713671,0.00015167879,0.0000058752335,0.000098065255,0.011779248],"genre_scores_gemma":[0.9936614,0.000045956,0.0044573443,0.00025765316,0.000095167685,0.0000060986763,0.0000040950245,0.00001718988,0.0014551153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998772,0.00006792461,0.0003396378,0.0002609379,0.00017377551,0.0003856903],"domain_scores_gemma":[0.9987982,0.000583929,0.00016033175,0.00031309162,0.000036268786,0.00010816559],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043928175,0.00016035316,0.00037669315,0.0001271504,0.00007351548,0.000011481196,0.00018080333,0.00022649745,0.00018572532],"category_scores_gemma":[0.00072151114,0.0001290547,0.000076765085,0.00020882628,0.00016510315,0.00006776971,0.0001457484,0.00018545939,0.000021726575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000164404,0.00011430357,0.017976865,0.00007710674,0.000027595739,0.000007833,0.0001578459,3.2614076e-7,0.00047079913,0.9667077,0.010871949,0.0035712437],"study_design_scores_gemma":[0.0008054117,0.0005734977,0.026002195,0.000029373736,0.000050135466,0.00012699323,0.000711477,0.00015931038,0.0017116651,0.9590536,0.010501229,0.00027513973],"about_ca_topic_score_codex":0.0000440028,"about_ca_topic_score_gemma":0.000029852687,"teacher_disagreement_score":0.0109509155,"about_ca_system_score_codex":0.000013764263,"about_ca_system_score_gemma":0.00000856727,"threshold_uncertainty_score":0.52626973},"labels":[],"label_agreement":null},{"id":"W1996497643","doi":"10.1007/s00208-004-0536-z","title":"Non-linear Grassmannians as coadjoint orbits","year":2004,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Symplectic geometry; Grassmannian; Hamiltonian (control theory); Normal bundle; Manifold (fluid mechanics); Group (periodic table); General linear group; Lie group; Moment map; Symplectic manifold; Mathematical analysis; Vector bundle; Symmetric group; Physics","score_opus":0.05145817366982171,"score_gpt":0.32828562071457124,"score_spread":0.27682744704474954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996497643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90784067,0.00020705319,0.030129276,0.00389142,0.00024905236,0.0005426038,0.000014302354,0.00037971116,0.056745898],"genre_scores_gemma":[0.94841576,0.0000409328,0.039028414,0.00066383125,0.00025307134,0.00005018189,0.000011454206,0.00009146483,0.011444889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812275,0.000029776093,0.0005184112,0.00039133028,0.0003874902,0.0005502267],"domain_scores_gemma":[0.99866045,0.00017881035,0.00022336523,0.0006287693,0.00011411743,0.00019447226],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00045577137,0.00031151038,0.0005235286,0.00025892345,0.00017339754,0.000037116148,0.00043418808,0.00020136024,0.0009905277],"category_scores_gemma":[0.0005781578,0.00026265852,0.00019641891,0.00052058854,0.00012837522,0.00015162288,0.0001658568,0.00031314854,0.003835923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036113477,0.0011855756,0.00035800104,0.0005849482,0.0003172029,0.00037001492,0.0057758084,0.00005988719,0.0010334874,0.95243657,0.035060942,0.0027814736],"study_design_scores_gemma":[0.0012730105,0.00026413912,0.00052014913,0.00015573077,0.00008452512,0.00048463282,0.00052087905,0.00006420395,0.007544066,0.9796467,0.00897328,0.00046871207],"about_ca_topic_score_codex":0.0000730597,"about_ca_topic_score_gemma":0.000017977694,"teacher_disagreement_score":0.04530101,"about_ca_system_score_codex":0.000046261255,"about_ca_system_score_gemma":0.00009472029,"threshold_uncertainty_score":0.99998254},"labels":[],"label_agreement":null},{"id":"W1996619442","doi":"10.1016/j.jctb.2006.02.003","title":"Tree amalgamation of graphs and tessellations of the Cantor sphere","year":2006,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Geometric and Algebraic Topology","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Combinatorics; Planar graph; Vertex (graph theory); Discrete mathematics; Graph","score_opus":0.009300546492239237,"score_gpt":0.2349204830309812,"score_spread":0.22561993653874196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996619442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9935018,0.00026681914,0.00022605697,0.00018789533,0.0012713169,0.00008304492,0.0000053054,0.0000048432885,0.0044529266],"genre_scores_gemma":[0.9987777,0.000017196853,0.0005647816,0.0000044693675,0.00011645316,5.218511e-7,2.52136e-7,0.0000074486925,0.00051119004],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989593,0.00015763688,0.0005399273,0.00004622153,0.0002119632,0.000084937674],"domain_scores_gemma":[0.9980774,0.0006381969,0.00086358894,0.00013518019,0.00026104314,0.000024572673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058200787,0.000079006946,0.00029383498,0.00010244557,0.000058017416,0.000007852469,0.00015447775,0.00007059861,0.00010868897],"category_scores_gemma":[0.000569887,0.000051365943,0.000108332206,0.00032253395,0.00023154423,0.00011896194,0.0000326569,0.00011292565,1.6700133e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000110465066,0.00009128748,0.00314914,0.000049121714,0.000041282532,7.9187197e-7,0.00021681143,0.0000032458054,0.0013577206,0.9939074,0.0007355689,0.00033718333],"study_design_scores_gemma":[0.00070566474,0.0002048971,0.007328812,0.000037660433,0.00006977993,0.00003309588,0.0005353682,0.0000016555327,0.0096122725,0.9808705,0.00055394927,0.000046366946],"about_ca_topic_score_codex":0.000013890487,"about_ca_topic_score_gemma":0.000012423361,"teacher_disagreement_score":0.013036904,"about_ca_system_score_codex":0.0000108191625,"about_ca_system_score_gemma":0.000068519475,"threshold_uncertainty_score":0.20946424},"labels":[],"label_agreement":null},{"id":"W1997046888","doi":"10.1142/s0218196707003913","title":"GENERIC COMPLEXITY OF THE CONJUGACY PROBLEM IN HNN-EXTENSIONS AND ALGORITHMIC STRATIFICATION OF MILLER'S GROUPS","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Undecidable problem; Conjugacy class; Conjugacy problem; Mathematics; Decidability; Miller; Stratification (seeds); Group (periodic table); Decision problem; Combinatorics; Discrete mathematics; Algorithm","score_opus":0.04876440810557002,"score_gpt":0.3200468513484381,"score_spread":0.27128244324286804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997046888","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9508747,0.00019430577,0.047719214,0.0007413306,0.00021093717,0.00010632394,0.000003999479,0.0000026336168,0.0001465575],"genre_scores_gemma":[0.9817652,0.000046208825,0.018083641,0.000034296376,0.000054852204,5.47594e-7,0.0000022423799,0.000004552866,0.000008435392],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988186,0.00005782292,0.0006763609,0.000081897386,0.0002892841,0.00007604591],"domain_scores_gemma":[0.9984087,0.00033313545,0.00072945794,0.00005265748,0.00044358533,0.000032479355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005606131,0.00007154136,0.00019347382,0.00028495272,0.000027793503,0.000011101575,0.00013971709,0.000045735247,0.00001154078],"category_scores_gemma":[0.00014623973,0.000052882864,0.00004901924,0.00021195304,0.00019595445,0.00010052318,0.000045294186,0.00011575162,1.4722818e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027169278,0.0007773822,0.033130996,0.00014312031,0.000347528,0.000021096641,0.004082653,0.0006463125,0.010428933,0.8371934,0.0003283217,0.11262853],"study_design_scores_gemma":[0.0010548017,0.00014214,0.3657953,0.00009861279,0.000029943882,0.0002255064,0.0008726276,0.0027788712,0.0016718598,0.6272442,0.000017414644,0.00006871737],"about_ca_topic_score_codex":0.00003234566,"about_ca_topic_score_gemma":0.000028816417,"teacher_disagreement_score":0.3326643,"about_ca_system_score_codex":0.000024965153,"about_ca_system_score_gemma":0.00004436223,"threshold_uncertainty_score":0.21565007},"labels":[],"label_agreement":null},{"id":"W1997469155","doi":"10.1007/s00209-007-0256-7","title":"Subgroup separability in residually free groups","year":2007,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Finitely-generated abelian group; Separable space; Pure mathematics; Type (biology); Group (periodic table); Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.025056319432919562,"score_gpt":0.29515077594011196,"score_spread":0.2700944565071924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997469155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75731534,0.015410101,0.048524346,0.0026775918,0.0032616127,0.0030066313,0.00022024312,0.00064967794,0.16893446],"genre_scores_gemma":[0.9512107,0.00025593498,0.043254748,0.00037244515,0.0010371851,0.00005693631,0.00004238137,0.00021242876,0.003557242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9915894,0.0005059503,0.0029071122,0.0014255025,0.0012799028,0.002292131],"domain_scores_gemma":[0.9905558,0.004751148,0.0008849329,0.0030534056,0.00019729872,0.00055737933],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.009696592,0.0010436312,0.0018620088,0.0012337889,0.00027179302,0.00015667212,0.0018457378,0.0012364881,0.0036685835],"category_scores_gemma":[0.0069820983,0.0009995021,0.00048090515,0.0021705157,0.00057458336,0.00039320934,0.001073947,0.0017106348,0.0038933207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021531976,0.0023775047,0.007587124,0.0017394131,0.00032357377,0.00051035685,0.007390347,0.0000049774685,0.00058580574,0.9529838,0.021223776,0.0050580003],"study_design_scores_gemma":[0.011426598,0.0011754681,0.11761083,0.001910834,0.0010973301,0.00035100413,0.006095705,0.000535274,0.008157024,0.7632719,0.084130116,0.0042378884],"about_ca_topic_score_codex":0.00025188955,"about_ca_topic_score_gemma":0.00092679803,"teacher_disagreement_score":0.19389537,"about_ca_system_score_codex":0.00006718862,"about_ca_system_score_gemma":0.00021705673,"threshold_uncertainty_score":0.9992455},"labels":[],"label_agreement":null},{"id":"W1998448815","doi":"10.1142/s0129167x13500730","title":"ON LAGRANGIAN EMBEDDINGS OF PARALLELIZABLE MANIFOLDS","year":2013,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","keywords":"Parallelizable manifold; Mathematics; Symplectic geometry; Submanifold; Dimension (graph theory); Pure mathematics; Lagrangian; Manifold (fluid mechanics); Euclidean space; Euclidean geometry; Symplectic manifold; Zero (linguistics); Space (punctuation); Mathematical analysis; Algebra over a field; Geometry","score_opus":0.02519698280846863,"score_gpt":0.30619145955484967,"score_spread":0.28099447674638106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998448815","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9693345,0.000054388107,0.017789766,0.001287941,0.000627752,0.00012360967,0.000004877542,0.000014764663,0.010762417],"genre_scores_gemma":[0.9575943,0.000029097922,0.040730465,0.00013469896,0.00015102426,0.0000025446839,7.5526384e-7,0.000018010416,0.0013391111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833333,0.000025511637,0.0007843745,0.00007305447,0.00064008264,0.00014363938],"domain_scores_gemma":[0.9973924,0.00086345547,0.00088398514,0.00014888332,0.00064079446,0.00007045458],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036617095,0.00012409777,0.0003479073,0.0003831997,0.00001807199,0.000030568317,0.0005585944,0.00007669163,0.0017750422],"category_scores_gemma":[0.0010607041,0.00008946358,0.00018956746,0.00011773283,0.000052118634,0.00014410884,0.000054187287,0.00015741002,0.00009030959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024726454,0.001163158,0.0003838248,0.00012302719,0.0005259438,0.00005928864,0.0013302423,0.000063726555,0.0009981511,0.95417815,0.03917629,0.001973451],"study_design_scores_gemma":[0.00076478877,0.00024771603,0.00024346328,0.00020958896,0.000045697132,0.00037425614,0.00079491903,0.00039284898,0.0026171778,0.9934966,0.0007008111,0.000112114176],"about_ca_topic_score_codex":0.000009803205,"about_ca_topic_score_gemma":0.0000013208924,"teacher_disagreement_score":0.039318446,"about_ca_system_score_codex":0.000042532654,"about_ca_system_score_gemma":0.000028259037,"threshold_uncertainty_score":0.99913746},"labels":[],"label_agreement":null},{"id":"W1998600689","doi":"10.1016/j.anihpc.2003.01.004","title":"Pseudoholomorphic strips in symplectisations I: Asymptotic behavior","year":2004,"lang":"fr","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Geometric and Algebraic Topology","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":"York University; National Science Foundation","keywords":"STRIPS; Mathematics; Calculus (dental); Psychology; Medicine; Orthodontics; Algorithm","score_opus":0.04212590692074865,"score_gpt":0.3132456863122287,"score_spread":0.2711197793914801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998600689","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9642658,0.008878959,0.01274922,0.007320194,0.0012892243,0.0009861336,0.00016789885,0.00016752031,0.0041749985],"genre_scores_gemma":[0.985468,0.0014119525,0.0069512776,0.0009669023,0.00064050267,0.00016538275,0.0001221733,0.00010045534,0.0041733882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9947457,0.00043254482,0.0016095337,0.0009985986,0.0005886716,0.0016249785],"domain_scores_gemma":[0.99696976,0.0005390476,0.0005344274,0.0010427407,0.00032207737,0.0005919481],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001210881,0.0007927241,0.0012627497,0.0018203863,0.00058075215,0.00016196778,0.00076056353,0.0010237313,0.00079466],"category_scores_gemma":[0.0013943369,0.00089645153,0.00064303464,0.0037156949,0.001000593,0.00066280784,0.0002388528,0.0017581034,0.0010034742],"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":[0.00019667222,0.010840472,0.40764928,0.0018914777,0.0018610965,0.01027116,0.017574929,0.037151866,0.0010461892,0.46946734,0.007096363,0.034953166],"study_design_scores_gemma":[0.022020927,0.003120668,0.56057465,0.004756613,0.008785935,0.008237196,0.017564602,0.010159409,0.003078765,0.32336807,0.031404108,0.006929053],"about_ca_topic_score_codex":0.004911802,"about_ca_topic_score_gemma":0.010098074,"teacher_disagreement_score":0.15292539,"about_ca_system_score_codex":0.0012990001,"about_ca_system_score_gemma":0.0021086729,"threshold_uncertainty_score":0.99977434},"labels":[],"label_agreement":null},{"id":"W1999152126","doi":"10.1007/s00208-005-0724-5","title":"Symplectic tori in rational elliptic surfaces","year":2006,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Symplectic geometry; Mathematics; Torus; Symplectic representation; Pure mathematics; Symplectomorphism; Homology (biology); Symplectic group; Moment map; Geometry; Chemistry","score_opus":0.027952652787995576,"score_gpt":0.2755686985685145,"score_spread":0.24761604578051893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999152126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9422305,0.022135211,0.004846144,0.0036558236,0.0013869677,0.0011044132,0.000085944994,0.00019636488,0.024358612],"genre_scores_gemma":[0.9607678,0.0003421906,0.009003388,0.0001618607,0.0011739972,0.00007531648,0.000075390875,0.000104045204,0.028296031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99634457,0.00025736156,0.0012480579,0.0006148478,0.00063951366,0.0008956675],"domain_scores_gemma":[0.9972327,0.0014084586,0.00046849097,0.0006182005,0.0001496405,0.00012250688],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010916276,0.00051338616,0.0008867765,0.0005978323,0.00017598548,0.00014509588,0.00047901462,0.0003892345,0.0033354056],"category_scores_gemma":[0.0006960665,0.00049328915,0.00022143916,0.0012469303,0.00019220581,0.00025053468,0.0001582316,0.00049784634,0.0040126834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043949956,0.0018754493,0.01177385,0.0015050948,0.0003003652,0.00018105548,0.002089871,0.00036878878,0.00041107487,0.9015474,0.079013,0.0008901026],"study_design_scores_gemma":[0.0018737566,0.00024375434,0.015531679,0.0004978149,0.00036000364,0.000095518175,0.00053621107,0.0048066303,0.0009807353,0.94112957,0.03283228,0.0011120654],"about_ca_topic_score_codex":0.00021309088,"about_ca_topic_score_gemma":0.00017989919,"teacher_disagreement_score":0.04618072,"about_ca_system_score_codex":0.00013065872,"about_ca_system_score_gemma":0.00018732947,"threshold_uncertainty_score":0.99975187},"labels":[],"label_agreement":null},{"id":"W1999674577","doi":"10.1142/s0129167x13500572","title":"THE g-AREAS AND THE COMMUTATOR LENGTH","year":2013,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Diffeomorphism; Symplectic geometry; Hamiltonian (control theory); Commutator; Poisson bracket; Moment map; Symplectic manifold; Vector field; Pure mathematics; Linear subspace; Poisson manifold; Riemann surface; Moduli space; Symplectomorphism; Combinatorics; Lie algebra; Geometry","score_opus":0.019438484536451733,"score_gpt":0.2931303781322067,"score_spread":0.27369189359575496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999674577","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92934585,0.0011885962,0.013904392,0.047335766,0.0014424338,0.00035994028,0.0000036003607,0.000021783428,0.006397652],"genre_scores_gemma":[0.98967975,0.00028884973,0.008529185,0.0002974277,0.00026400646,0.0000069852954,2.037382e-7,0.0000130423705,0.00092057243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987336,0.00008424748,0.00055250945,0.000046501787,0.00046201274,0.000121120596],"domain_scores_gemma":[0.99408317,0.0046313503,0.0005700852,0.00016282777,0.00050233933,0.000050213584],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011348114,0.00009191045,0.00020637417,0.00007913318,0.00012093188,0.00015320057,0.00067554816,0.000038296064,0.00014069735],"category_scores_gemma":[0.0027511648,0.000040090938,0.00010553684,0.000071103765,0.00033739084,0.00011039677,0.000120710196,0.00022577702,0.000031300548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023774504,0.00012826097,0.0002430231,0.000015445226,0.00042284743,0.000012570381,0.0025617017,0.0000013997527,0.000012836696,0.96753395,0.017881654,0.011162515],"study_design_scores_gemma":[0.0011893471,0.000033503202,0.00035603764,0.00003855514,0.000036647918,0.0010489036,0.0034395626,0.0005607756,0.00005151757,0.98763317,0.0055542393,0.000057765457],"about_ca_topic_score_codex":0.000011832568,"about_ca_topic_score_gemma":0.0000038705184,"teacher_disagreement_score":0.060333893,"about_ca_system_score_codex":0.000025259948,"about_ca_system_score_gemma":0.000033465218,"threshold_uncertainty_score":0.32936},"labels":[],"label_agreement":null},{"id":"W1999910745","doi":"10.1016/j.jalgebra.2010.07.013","title":"Krull dimension of solvable groups","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":31,"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; Krull dimension; Solvable group; Dimension (graph theory); Class (philosophy); Global dimension; Pure mathematics; Limit (mathematics); Algebraic number; Combinatorics; Algebra over a field; Mathematical analysis; Abelian group; Noetherian","score_opus":0.019206092768205958,"score_gpt":0.2810082313354896,"score_spread":0.2618021385672836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999910745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99534434,0.00012283045,0.0012132436,0.0005323075,0.00093463337,0.000048836937,0.0000011566908,0.000009587397,0.001793042],"genre_scores_gemma":[0.98147386,0.000020391548,0.017726978,0.000070678965,0.00027209616,3.5647946e-7,2.761736e-7,0.0000146469,0.00042072858],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987912,0.000034859622,0.0006026387,0.00008024663,0.00030157846,0.00018943804],"domain_scores_gemma":[0.9983179,0.00043263033,0.0006880618,0.00021307038,0.00024359478,0.00010474794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007187267,0.00010211799,0.00038483087,0.00028934324,0.000038778606,0.000009273182,0.00023805034,0.0001247742,0.0008054652],"category_scores_gemma":[0.00093682174,0.00007494083,0.00016931388,0.00026815975,0.00008917921,0.00012797868,0.00005659927,0.00044134285,0.000020849284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017248515,0.0010839583,0.007872119,0.00019655316,0.00031711743,0.00014050606,0.0013121592,0.0000051609377,0.15820365,0.7732366,0.048244644,0.009215114],"study_design_scores_gemma":[0.0015884414,0.00076590193,0.0062775086,0.00006718098,0.00015165315,0.00090103666,0.00041096145,0.00003592118,0.04364641,0.9398762,0.006069295,0.00020948873],"about_ca_topic_score_codex":0.000005594871,"about_ca_topic_score_gemma":0.0000054930915,"teacher_disagreement_score":0.16663966,"about_ca_system_score_codex":0.000010564294,"about_ca_system_score_gemma":0.00006687349,"threshold_uncertainty_score":0.88192797},"labels":[],"label_agreement":null},{"id":"W2000215265","doi":"10.5666/kmj.2008.48.2.255","title":"A Formula for the Colored Jones Polynomial of 2-Bridge Knots","year":2008,"lang":"en","type":"article","venue":"Kyungpook mathematical journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Colored; Mathematics; Jones polynomial; Alexander polynomial; HOMFLY polynomial; Knot (papermaking); Twist; Knot polynomial; Polynomial; Combinatorics; Bracket polynomial; Knot theory; Knot invariant; Pure mathematics; Matrix polynomial; Alternating polynomial; Mathematical analysis; Geometry; Square-free polynomial","score_opus":0.10765198077374252,"score_gpt":0.33607311376437893,"score_spread":0.2284211329906364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000215265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70832497,0.0005172686,0.282194,0.0026813126,0.00055002637,0.0010002736,0.000025987238,0.000070318776,0.0046358285],"genre_scores_gemma":[0.96985406,0.000053519994,0.026482813,0.00013400933,0.00041864847,0.000027135819,9.594207e-7,0.000038828086,0.002990057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980371,0.000069511305,0.0008630764,0.00015025948,0.00041463244,0.00046540814],"domain_scores_gemma":[0.9950306,0.0038613034,0.0004360113,0.00029952085,0.00020915344,0.00016341377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086914975,0.00020815247,0.0005779477,0.00017430866,0.00041453098,0.000026999602,0.00043268592,0.00013914108,0.0006536977],"category_scores_gemma":[0.0026018042,0.00012310712,0.00040317865,0.00025524368,0.00037609445,0.00010143182,0.00008534658,0.00031757273,0.00005797972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043665865,0.0016053746,0.0007283482,0.00066705234,0.0009548584,0.00010682713,0.0067539206,0.00001680073,0.0013985916,0.7332243,0.24845216,0.0056551415],"study_design_scores_gemma":[0.0030893,0.00046439134,0.0033052398,0.00011547682,0.000342986,0.0043509095,0.00061473047,0.0017538385,0.0019919262,0.97893447,0.004689295,0.00034745855],"about_ca_topic_score_codex":0.000002438585,"about_ca_topic_score_gemma":0.0000014994265,"teacher_disagreement_score":0.26152903,"about_ca_system_score_codex":0.000040731287,"about_ca_system_score_gemma":0.0001437754,"threshold_uncertainty_score":0.7157532},"labels":[],"label_agreement":null},{"id":"W2000566318","doi":"10.1142/s0218216507005294","title":"FAST KHOVANOV HOMOLOGY COMPUTATIONS","year":2007,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":160,"is_retracted":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":"Khovanov homology; Tangle; Mathematics; Computation; Pure mathematics; Algebra over a field; Algorithm","score_opus":0.03385836815443162,"score_gpt":0.3303650038556963,"score_spread":0.2965066357012647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000566318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6222823,0.0010972434,0.37087616,0.0012897179,0.0003440766,0.00010297561,0.0000069704797,0.000021742986,0.0039787674],"genre_scores_gemma":[0.9923205,0.000072458526,0.005756414,0.00014063678,0.0001597182,9.3220734e-7,0.0000015564966,0.0000092603705,0.001538545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897915,0.00014960684,0.00050794386,0.00008791528,0.000107783184,0.00016761597],"domain_scores_gemma":[0.99670297,0.002440126,0.0003619348,0.00011726608,0.00026873648,0.00010899593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019455912,0.00008490522,0.0002128632,0.00038160576,0.00017588426,0.000014353304,0.00015293747,0.0000817316,0.00017855952],"category_scores_gemma":[0.0014992162,0.00006895853,0.00007198711,0.00036760655,0.00012850514,0.000103381695,0.000023892357,0.00022544325,0.000021661119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030031493,0.0001552477,0.00008700596,0.0000125306815,0.000053625095,0.000009751466,0.0007492923,0.000009375104,0.0005129668,0.98919857,0.0005584576,0.008623176],"study_design_scores_gemma":[0.00052458234,0.00016715945,0.008382085,0.00001894397,0.0001078385,0.0008460001,0.0020276299,0.00004632875,0.00052810146,0.9820622,0.0051768688,0.000112266076],"about_ca_topic_score_codex":3.760575e-7,"about_ca_topic_score_gemma":0.0000020254129,"teacher_disagreement_score":0.37003815,"about_ca_system_score_codex":0.000018128765,"about_ca_system_score_gemma":0.00005257492,"threshold_uncertainty_score":0.28120473},"labels":[],"label_agreement":null},{"id":"W2001674175","doi":"10.1515/form.2011.090","title":"Surgery obstructions on closed manifolds and the inertia subgroup","year":2010,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","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","keywords":"Inertia; Mathematics; Group (periodic table); Finitely-generated abelian group; Manifold (fluid mechanics); Character (mathematics); Pure mathematics; Combinatorics; 3-manifold; Surgery; Geometry; Physics; Medicine; Classical mechanics; Engineering","score_opus":0.03553946567584673,"score_gpt":0.27990244482650434,"score_spread":0.2443629791506576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001674175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9699859,0.00034020565,0.004265308,0.009746315,0.003467683,0.001587173,0.00007635812,0.0004027565,0.0101282885],"genre_scores_gemma":[0.9881672,0.000073954434,0.0075775995,0.00038451632,0.00039872833,0.00026167012,0.000033311986,0.00010868175,0.0029943103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99738705,0.0001706956,0.00089575106,0.00054816355,0.00042087754,0.0005774723],"domain_scores_gemma":[0.9923294,0.0053969114,0.0007103267,0.0013498301,0.00008879034,0.00012470181],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012933053,0.0005263522,0.0011656123,0.00042191433,0.0003148707,0.00015063984,0.0005100885,0.0007031716,0.00042109436],"category_scores_gemma":[0.002835193,0.00033174673,0.0004378298,0.00026278629,0.000501166,0.000052553503,0.00081198505,0.001458716,0.00011541691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044125234,0.00016382926,0.00018468178,0.000678292,0.00020328861,0.0000118215485,0.0007750907,0.0000017903682,0.000014189232,0.9757692,0.020992536,0.0011611403],"study_design_scores_gemma":[0.0006133005,0.000023407312,0.00047480088,0.00022665688,0.00022137497,0.0001309191,0.00047423484,0.00043853375,0.00012835581,0.99567336,0.001213111,0.00038192197],"about_ca_topic_score_codex":0.000062170555,"about_ca_topic_score_gemma":0.000067519555,"teacher_disagreement_score":0.019904166,"about_ca_system_score_codex":0.000039318005,"about_ca_system_score_gemma":0.000082111605,"threshold_uncertainty_score":0.99991345},"labels":[],"label_agreement":null},{"id":"W2001966083","doi":"10.1142/s0218216512500770","title":"ON PRIMENESS OF LABELED ORIENTED TREES","year":2011,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Injective function; Conjecture; Mathematics; Knot (papermaking); Prime (order theory); Combinatorics; Pure mathematics","score_opus":0.05536941466397638,"score_gpt":0.3046605747931852,"score_spread":0.24929116012920882,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001966083","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9896909,0.00034439,0.0067617027,0.00010055947,0.00015064402,0.00007379893,0.000005310221,0.0000073183296,0.0028654009],"genre_scores_gemma":[0.99792886,0.00006221114,0.0010007933,0.00002844969,0.00003664513,0.0000015380716,4.8601703e-7,0.000006620605,0.0009343986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992144,0.00016067731,0.0003742977,0.000064818436,0.000101100755,0.000084669744],"domain_scores_gemma":[0.9983158,0.0008798464,0.00040830043,0.000132136,0.00020741811,0.000056500572],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007759512,0.000068180685,0.00020723829,0.00022387867,0.000058011738,0.000003112479,0.00012413136,0.000051324263,0.0002230534],"category_scores_gemma":[0.001435119,0.000048729733,0.00005609218,0.0002441732,0.00007612559,0.00005359719,0.000014550272,0.00011458298,0.000005233982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001324725,0.00038425365,0.00008752101,0.00001672694,0.00006409621,0.0000015577795,0.0012637437,4.960294e-7,0.0020389329,0.99374324,0.000103348524,0.0021635995],"study_design_scores_gemma":[0.00075936934,0.00047524623,0.0065863226,0.000055243927,0.00012547139,0.00004721812,0.0009959006,0.0000093039425,0.021089265,0.96922374,0.00054841134,0.000084516534],"about_ca_topic_score_codex":5.6348483e-7,"about_ca_topic_score_gemma":6.834615e-7,"teacher_disagreement_score":0.02451952,"about_ca_system_score_codex":0.000007900396,"about_ca_system_score_gemma":0.00004164616,"threshold_uncertainty_score":0.24422784},"labels":[],"label_agreement":null},{"id":"W2002030053","doi":"10.4171/ggd/108","title":"The conjugacy problem in the Grigorchuk group is polynomial time decidable","year":2010,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Conjugacy class; Conjugacy problem; Decidability; Polynomial; Group (periodic table); Time complexity; Finitely-generated abelian group; Algebra over a field; Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.008261990661099294,"score_gpt":0.2457401904828123,"score_spread":0.237478199821713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002030053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9862602,0.00019261033,0.001189114,0.0032989928,0.00040788396,0.00050992914,0.000031392767,0.00005524997,0.008054663],"genre_scores_gemma":[0.99324775,0.00006410578,0.0030638329,0.0006958579,0.00024733707,0.000048437374,0.000018351237,0.000027494667,0.0025868204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826723,0.000113826485,0.00043531726,0.0003303818,0.00028049128,0.0005727359],"domain_scores_gemma":[0.99680614,0.002346199,0.00016046442,0.00055198604,0.000043018732,0.00009217105],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017036977,0.00023455477,0.00029860256,0.00024468286,0.00048935274,0.00017264741,0.0005994692,0.00024740808,0.00022054289],"category_scores_gemma":[0.0005398083,0.00013641498,0.000089793255,0.0010726862,0.00039436322,0.00014295502,0.00018398213,0.00078489707,0.00006840303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009658423,0.00038000452,0.01997363,0.00007731829,0.000082397986,0.00003059871,0.0013958694,0.0000019518438,0.00019438952,0.9313747,0.015444994,0.030947521],"study_design_scores_gemma":[0.0024809844,0.00043118114,0.03439779,0.00002693021,0.00011181231,0.00045171846,0.0027820761,0.009787203,0.000035190376,0.9117847,0.03694027,0.00077013636],"about_ca_topic_score_codex":0.00012266081,"about_ca_topic_score_gemma":0.0007088638,"teacher_disagreement_score":0.030177386,"about_ca_system_score_codex":0.000031512624,"about_ca_system_score_gemma":0.000035037658,"threshold_uncertainty_score":0.5562842},"labels":[],"label_agreement":null},{"id":"W2002583508","doi":"10.1006/eujc.2000.0434","title":"Alternating Knot Diagrams, Euler Circuits and the Interlace Polynomial","year":2001,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Geometric and Algebraic Topology","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":"Trinity College","funders":"","keywords":"Mathematics; Combinatorics; Knot (papermaking); Simple (philosophy); Jones polynomial; Interlacing; Euler's formula; Diagram; Discrete mathematics; Graph; Polynomial; Knot theory; Mathematical analysis; Computer science","score_opus":0.03141400411610264,"score_gpt":0.26671598072042724,"score_spread":0.23530197660432461,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002583508","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96799296,0.0013415589,0.0060788444,0.001720778,0.0017223451,0.00008381761,5.6242044e-7,0.000021115256,0.021037988],"genre_scores_gemma":[0.9978163,0.00030900634,0.00019060032,0.00015593113,0.00042329208,3.2437697e-7,1.5543499e-7,0.000030448171,0.0010739145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817693,0.0006265029,0.0005872014,0.00010835256,0.00027514953,0.00022583477],"domain_scores_gemma":[0.9977064,0.001227127,0.0005973506,0.00018927018,0.00016212497,0.00011771686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002405298,0.00014238709,0.00032633197,0.00016073057,0.000120099845,0.000073690055,0.0004338628,0.000024886009,0.000045588087],"category_scores_gemma":[0.0021817333,0.00009104497,0.000117181095,0.00030256045,0.00016225703,0.00010231338,0.00014159628,0.00045105387,0.000018937631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000408431,0.0007647871,0.02376911,0.00010199085,0.0006241352,0.002633796,0.007923052,0.000013550921,0.0001435388,0.7642151,0.054689903,0.1447126],"study_design_scores_gemma":[0.043441504,0.0027009274,0.039366927,0.0004910298,0.00070556917,0.013368363,0.003689251,0.00043361835,0.00034848799,0.5838615,0.3102542,0.0013386492],"about_ca_topic_score_codex":0.000001839091,"about_ca_topic_score_gemma":4.87481e-7,"teacher_disagreement_score":0.2555643,"about_ca_system_score_codex":0.000033196317,"about_ca_system_score_gemma":0.000024643228,"threshold_uncertainty_score":0.37127063},"labels":[],"label_agreement":null},{"id":"W2003099373","doi":"10.4153/cmb-2009-010-8","title":"Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Holomorphic function; Mathematics; Projective test; Complex projective space; Pure mathematics; Quaternionic projective space; Projective space; Several complex variables; Identity theorem","score_opus":0.04567424709082209,"score_gpt":0.3085816793047503,"score_spread":0.2629074322139282,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003099373","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56994987,0.00009268846,0.021654539,0.097438976,0.00033828092,0.004077443,0.00025993257,0.00040978298,0.3057785],"genre_scores_gemma":[0.97950375,0.000002171377,0.007907915,0.00332949,0.00015605177,0.00008849981,0.000009263584,0.000034297267,0.008968584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998283,0.00008313014,0.00034054092,0.0003840986,0.00019460641,0.00071460014],"domain_scores_gemma":[0.99760514,0.0013032362,0.000110897694,0.000385233,0.00011020695,0.00048526132],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00062759407,0.00026947484,0.00046912022,0.00029510536,0.00020615166,0.00006365489,0.00028221385,0.00020646605,0.00483543],"category_scores_gemma":[0.0029632882,0.00021910614,0.00015393665,0.00027431216,0.0001558208,0.00002142057,0.000014441774,0.00023776386,0.003453828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030412053,0.00011875336,0.000007031565,0.00004515498,0.00002507732,0.000023283197,0.00031326606,0.0000010120639,0.000016554228,0.9037156,0.09478758,0.0009162533],"study_design_scores_gemma":[0.0005137254,0.0004698797,0.000132171,0.00005732752,0.000039348495,0.000032564556,0.00023921324,0.00009772206,0.0003720519,0.9466141,0.051147643,0.0002842938],"about_ca_topic_score_codex":0.00012753569,"about_ca_topic_score_gemma":0.00020677823,"teacher_disagreement_score":0.40955386,"about_ca_system_score_codex":0.00014792537,"about_ca_system_score_gemma":0.00016849927,"threshold_uncertainty_score":0.9973221},"labels":[],"label_agreement":null},{"id":"W2005047182","doi":"10.1016/j.jalgebra.2006.03.033","title":"Elementary theory of free non-abelian groups","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":240,"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; Abelian group; Decidability; Elementary theory; Pure mathematics; Elementary abelian group; Algebra over a field; Discrete mathematics; Computer science","score_opus":0.01519723602507891,"score_gpt":0.25656280802927334,"score_spread":0.24136557200419442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005047182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9865051,0.00047602534,0.0069175176,0.0006249112,0.00038640192,0.00008018937,0.00000843908,0.000010260685,0.004991134],"genre_scores_gemma":[0.9852008,0.00002582905,0.013521824,0.00014242495,0.00048033582,8.157831e-7,0.0000013629211,0.000019802752,0.00060679525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839497,0.00008203761,0.0008410555,0.00009285856,0.0003572786,0.00023181578],"domain_scores_gemma":[0.9981777,0.0005216142,0.0007873576,0.00029060018,0.00015241599,0.00007029189],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009789137,0.00013254043,0.0004236453,0.00039868653,0.000041476098,0.000009777248,0.00044181047,0.000086052816,0.00082570885],"category_scores_gemma":[0.00032708683,0.000101261714,0.00021989495,0.00034304475,0.00010499387,0.00012671706,0.00008386815,0.00023866542,0.0000116954525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001403693,0.00076712744,0.01032238,0.00013607173,0.00032589652,0.00012757082,0.00040097965,0.0000062275644,0.003509931,0.8632282,0.1147698,0.0062654335],"study_design_scores_gemma":[0.0012581486,0.0003757005,0.011639928,0.000046546527,0.000116365976,0.0001587805,0.00050280005,0.000003477309,0.0058835093,0.9786208,0.0012848348,0.00010909309],"about_ca_topic_score_codex":0.000028347235,"about_ca_topic_score_gemma":0.000011847362,"teacher_disagreement_score":0.1153926,"about_ca_system_score_codex":0.00003423636,"about_ca_system_score_gemma":0.00006190623,"threshold_uncertainty_score":0.9040933},"labels":[],"label_agreement":null},{"id":"W2005146230","doi":"10.4310/cag.2006.v14.n4.a6","title":"Dehn filling and asymptotically hyperbolic Einstein manifolds","year":2006,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric and Algebraic Topology","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":"Bishop's University","funders":"Stony Brook University; Université du Québec à Montréal; McGill University","keywords":"Infinity; Mathematics; Einstein; Conformal map; Class (philosophy); Relatively hyperbolic group; Pure mathematics; Sequence (biology); Hyperbolic manifold; Hyperbolic 3-manifold; Mathematical analysis; Mathematical physics; Hyperbolic function","score_opus":0.031071545921265657,"score_gpt":0.3062309706829854,"score_spread":0.27515942476171973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005146230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98068017,0.00426661,0.0076571205,0.0011126682,0.000017488957,0.00008847123,0.000006563486,0.000037812777,0.0061331214],"genre_scores_gemma":[0.9729189,0.0010100134,0.025423745,0.000075570104,0.000023761997,0.000010981481,0.000023863658,0.000009506168,0.0005036168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9989352,0.000115879506,0.00041042303,0.00022035075,0.000112828966,0.00020528681],"domain_scores_gemma":[0.99762416,0.0012116699,0.000100433856,0.0009568233,0.000052053536,0.00005488687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000525828,0.00012455594,0.00037671922,0.0013299177,0.00018176879,0.000051448595,0.0003490044,0.00011320215,0.00008318366],"category_scores_gemma":[0.000413517,0.000116178504,0.000083730985,0.0030485203,0.00021902795,0.00006153242,0.00033916978,0.00020318742,0.000005813184],"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":[0.0000033954782,0.00033700708,0.47892016,0.00003628046,0.0003350382,0.0000025848897,0.00013938898,0.000030825715,0.000073996125,0.5046783,0.00019724935,0.015245758],"study_design_scores_gemma":[0.00064010243,0.000041620267,0.73120517,0.000029499202,0.00095686485,0.000019455858,0.00057260063,0.010396253,0.000049563656,0.25212154,0.0035857058,0.0003816236],"about_ca_topic_score_codex":0.0003887899,"about_ca_topic_score_gemma":0.0011312352,"teacher_disagreement_score":0.25255677,"about_ca_system_score_codex":0.000021137403,"about_ca_system_score_gemma":0.000011888729,"threshold_uncertainty_score":0.47376218},"labels":[],"label_agreement":null},{"id":"W2005230691","doi":"10.1023/b:allo.0000044280.34370.ad","title":"Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups","year":2004,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Mathematics; Endomorphism; Abelian group; Invertible matrix; Rank of an abelian group; Rank (graph theory); Pure mathematics; Elementary abelian group; Algebra over a field; Combinatorics","score_opus":0.044884951657616586,"score_gpt":0.28718049729259465,"score_spread":0.24229554563497807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005230691","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9967231,0.0012014797,0.0008034609,0.00065973046,0.00006139644,0.0004331942,0.000035882545,0.00001327304,0.000068477224],"genre_scores_gemma":[0.9898922,0.00011656587,0.009850596,0.00005980735,0.000020298152,0.000010630738,0.0000047766966,0.000009104346,0.00003601896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990006,0.00003388529,0.00045162605,0.00023894146,0.00010752819,0.00016738586],"domain_scores_gemma":[0.99863666,0.0006763095,0.0002494261,0.00024122266,0.00014598636,0.000050415023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004520026,0.00012758326,0.00050690403,0.00015392735,0.00003501433,0.0000034777875,0.00009165962,0.00009039571,0.000026844495],"category_scores_gemma":[0.0022819065,0.00009753298,0.000057126344,0.0003089114,0.0003850104,0.000061212675,0.000056681325,0.000057299607,4.262163e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001788223,0.0011949736,0.027391568,0.0037877604,0.00016329944,0.0000037774178,0.0020660686,0.0000010978492,0.12475373,0.8332396,0.0002018361,0.0070174322],"study_design_scores_gemma":[0.0023352003,0.0011152151,0.023589032,0.00006114731,0.00015935944,0.00002195902,0.00024974017,0.0000072030293,0.11377479,0.858474,0.00007428488,0.00013802803],"about_ca_topic_score_codex":0.000067127985,"about_ca_topic_score_gemma":0.000013694332,"teacher_disagreement_score":0.025234405,"about_ca_system_score_codex":0.0000067031406,"about_ca_system_score_gemma":0.00003386935,"threshold_uncertainty_score":0.39772797},"labels":[],"label_agreement":null},{"id":"W2005851199","doi":"10.2140/gt.2005.9.1443","title":"Khovanov’s homology for tangles and cobordisms","year":2005,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":479,"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; Khovanov homology; Functor; Pure mathematics; Extension (predicate logic); Realm; Homology (biology); Vector space; Algebra over a field; Computer science","score_opus":0.03477753070453945,"score_gpt":0.324953027619483,"score_spread":0.2901754969149436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005851199","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93262297,0.0025476536,0.04502533,0.01287161,0.0010910206,0.0006774075,0.000057331607,0.00021990352,0.0048867837],"genre_scores_gemma":[0.9539117,0.000072392555,0.040188804,0.0011463044,0.00063411717,0.00011984357,0.000016828717,0.00003969659,0.0038703077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982554,0.00007681724,0.00041738912,0.00046043424,0.00010262732,0.00068735005],"domain_scores_gemma":[0.9972222,0.002032146,0.00015485,0.00036555706,0.000088642766,0.00013662557],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00043625684,0.0002397849,0.0005685463,0.0005976286,0.00017956691,0.000015366944,0.00025084527,0.00035634963,0.0010129513],"category_scores_gemma":[0.0014559036,0.00022075226,0.00011089352,0.00047894454,0.000525744,0.00007904079,0.00015808536,0.00019700301,0.00007804387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006312784,0.00021159572,0.0042677433,0.000073407165,0.000113792266,0.000014852856,0.00028646347,0.0000030937758,0.0003920624,0.8874202,0.019895103,0.08725861],"study_design_scores_gemma":[0.0024164608,0.0007845296,0.0053322692,0.000007823846,0.00014641494,0.0007356218,0.0005711257,0.000090429814,0.0016061873,0.5788093,0.40896383,0.0005360238],"about_ca_topic_score_codex":0.000033606448,"about_ca_topic_score_gemma":0.00008394615,"teacher_disagreement_score":0.38906872,"about_ca_system_score_codex":0.00004268882,"about_ca_system_score_gemma":0.00004090806,"threshold_uncertainty_score":0.9999003},"labels":[],"label_agreement":null},{"id":"W2005941146","doi":"10.1090/s0002-9939-2014-11847-8","title":"Genus one open books with non-left-orderable fundamental group","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Semantics (computer science); Type (biology); Computer science; Genus; Artificial intelligence; Mathematics; Biology; Programming language; Zoology","score_opus":0.02304225105724639,"score_gpt":0.2734310799343583,"score_spread":0.2503888288771119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005941146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9361125,0.00000947801,0.00612253,0.001417527,0.00002804568,0.00074183854,0.000004206697,0.00007202968,0.05549179],"genre_scores_gemma":[0.85642886,0.000006511758,0.1411361,0.00068347837,0.00006637978,0.00004439178,5.0434863e-7,0.00004611412,0.0015876454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981738,0.000016630825,0.00045148094,0.0003629296,0.0005071664,0.0004879922],"domain_scores_gemma":[0.9982858,0.00045134284,0.000697898,0.00028412984,0.00014333497,0.0001375316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085585087,0.00026182947,0.00080931373,0.000033889657,0.00024839412,0.00010568242,0.0012028579,0.00006675727,0.00023955069],"category_scores_gemma":[0.00042665892,0.00016404483,0.0002535793,0.00052009354,0.0010294261,0.00016006213,0.00077180285,0.00030367414,0.000023004568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017841955,0.0023651735,0.012432923,0.0018449652,0.00095268304,4.5964617e-7,0.0062811864,9.673928e-7,0.008262585,0.92868555,0.03295592,0.0060391636],"study_design_scores_gemma":[0.0016417329,0.001134382,0.0043680747,0.00031653116,0.0003443657,0.00006569962,0.006699705,0.001454139,0.004353349,0.9770378,0.0019868978,0.00059735193],"about_ca_topic_score_codex":0.00005875847,"about_ca_topic_score_gemma":0.0000020240607,"teacher_disagreement_score":0.13501357,"about_ca_system_score_codex":0.0000672138,"about_ca_system_score_gemma":0.000029950419,"threshold_uncertainty_score":0.66895545},"labels":[],"label_agreement":null},{"id":"W2006367699","doi":"10.1145/380752.380821","title":"Regular resolution lower bounds for the weak pigeonhole principle","year":2001,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Pigeonhole principle; Resolution (logic); Constant (computer programming); Mathematics; Combinatorics; Discrete mathematics; Computer science; Artificial intelligence","score_opus":0.05089050408067105,"score_gpt":0.32643806534719405,"score_spread":0.275547561266523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006367699","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19793564,0.000655977,0.6796808,0.012999941,0.0011704066,0.0012143807,0.000007752732,0.00034120717,0.10599387],"genre_scores_gemma":[0.80109876,0.00004401846,0.009431401,0.0003898059,0.00031652127,0.000081951584,0.0000042682314,0.000025321162,0.18860795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991729,0.000022653561,0.00020313541,0.0001670784,0.00013923178,0.00029495798],"domain_scores_gemma":[0.9988464,0.0005747001,0.00006544838,0.00040540317,0.00006616605,0.000041889805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004957104,0.00009515123,0.00013154736,0.00006861681,0.00022639544,0.000025399815,0.0001954232,0.000086147396,0.0008258798],"category_scores_gemma":[0.0006040861,0.000058486494,0.00009862794,0.00028955485,0.00008418646,0.000050656363,0.000059057602,0.00007865543,0.00007395183],"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":[0.000037624977,0.00010719069,0.00045494022,0.000013236927,0.000036988986,0.0000019288311,0.000062253996,0.000009662238,0.000041002335,0.9347789,0.06240236,0.0020538701],"study_design_scores_gemma":[0.00040841594,0.000097900804,0.001031356,0.0000038542025,0.000033023898,0.000023218505,0.00016495527,0.0012033471,0.00009344427,0.26849124,0.7283541,0.00009517188],"about_ca_topic_score_codex":0.000023662393,"about_ca_topic_score_gemma":0.00005505907,"teacher_disagreement_score":0.6702494,"about_ca_system_score_codex":0.000031798838,"about_ca_system_score_gemma":0.000027492426,"threshold_uncertainty_score":0.9042805},"labels":[],"label_agreement":null},{"id":"W2007074476","doi":"10.4171/ggd/96","title":"Special groups with an elementary hierarchy are virtually free-by-$ℤ$","year":2010,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Hierarchy; Free product; Free group; Group (periodic table); Cyclic group; Enhanced Data Rates for GSM Evolution; Combinatorics; Hyperbolic group; Word (group theory); Pure mathematics; Hyperbolic manifold; Geometry; Hyperbolic function; Artificial intelligence; Computer science","score_opus":0.008692493563741037,"score_gpt":0.23507875526058541,"score_spread":0.22638626169684437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007074476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9846137,0.00004355432,0.010539142,0.000550739,0.0007796338,0.00026722657,0.00028567153,0.00013416998,0.0027861279],"genre_scores_gemma":[0.9795621,0.000035880043,0.016059019,0.00054323307,0.0023489413,0.000021102747,0.00025070895,0.0000703046,0.0011087337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99795353,0.000068490386,0.00039900586,0.000572014,0.00040005412,0.0006069081],"domain_scores_gemma":[0.9982287,0.00037608852,0.0002321736,0.0007445089,0.00007968661,0.00033881297],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048519488,0.00036436116,0.0004717766,0.00045383212,0.00030197363,0.00009558243,0.0005145236,0.00029022357,0.00074609165],"category_scores_gemma":[0.00027214698,0.00030824286,0.00007033899,0.0008480135,0.00037898784,0.00035847462,0.0002553635,0.00077169226,0.000016690135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040901548,0.0012369181,0.10229538,0.0001892579,0.00026149437,0.00016011702,0.0006524563,0.0000030757749,0.0002675626,0.83607775,0.017499167,0.04094782],"study_design_scores_gemma":[0.007214345,0.0036387674,0.06490535,0.000059451413,0.00037718102,0.00074066955,0.007568624,0.0029402568,0.00016299036,0.894728,0.015376244,0.0022881136],"about_ca_topic_score_codex":0.000056914767,"about_ca_topic_score_gemma":0.0021014656,"teacher_disagreement_score":0.058650263,"about_ca_system_score_codex":0.00004640172,"about_ca_system_score_gemma":0.00003632911,"threshold_uncertainty_score":0.99993694},"labels":[],"label_agreement":null},{"id":"W2007726661","doi":"10.4153/cmb-2000-022-7","title":"On the 2-Parallel Versions of Links","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Korea Science and Engineering Foundation; Dongguk University","keywords":"Mathematics; Signature (topology); Class (philosophy); Value (mathematics); Combinatorics; Statistics; Geometry; Artificial intelligence; Computer science","score_opus":0.02735633805284985,"score_gpt":0.24822496433318697,"score_spread":0.22086862628033713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007726661","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5209497,0.00004112185,0.0006064726,0.046983764,0.00006214446,0.00041835793,0.000029044893,0.000048285758,0.4308611],"genre_scores_gemma":[0.96504474,0.000007998519,0.002703442,0.0024503982,0.0000465903,0.000021995962,0.0000022714205,0.000024449944,0.029698094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989086,0.0000733518,0.0003014897,0.00016011143,0.00018984868,0.00036660102],"domain_scores_gemma":[0.99701744,0.0021540239,0.00005149539,0.00044990823,0.000034594752,0.00029255953],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00034948782,0.00013511987,0.00025943172,0.00013095017,0.00013196551,0.000012205359,0.00034156427,0.00019242828,0.2593857],"category_scores_gemma":[0.0015750729,0.00008880798,0.000112395086,0.00024437852,0.00020583307,0.0000071889062,0.000016462052,0.00034388236,0.018539172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005497032,0.00005189058,0.0000043152936,0.000024406514,0.000018619554,0.000009438987,0.00015562188,0.0000033741649,0.0000019835122,0.84537965,0.15368758,0.0006576191],"study_design_scores_gemma":[0.00022505764,0.00007803246,0.000053807296,0.000057073412,0.000027761116,0.00001766463,0.00019786673,0.00007924925,0.000033984434,0.9053635,0.09373495,0.00013104269],"about_ca_topic_score_codex":0.0003185594,"about_ca_topic_score_gemma":0.00015712364,"teacher_disagreement_score":0.44409502,"about_ca_system_score_codex":0.000046651232,"about_ca_system_score_gemma":0.00009694417,"threshold_uncertainty_score":0.982225},"labels":[],"label_agreement":null},{"id":"W2007743955","doi":"10.1007/s00023-012-0171-2","title":"Torus Knots and Mirror Symmetry","year":2012,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":178,"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 Québécois de la Recherche sur la Nature et les Technologies; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Agence Nationale de la Recherche; European Science Foundation; CERN","keywords":"Conifold; Torus; Mirror symmetry; Mathematics; Symmetry (geometry); Limit (mathematics); Knot (papermaking); Pure mathematics; Physics; Topology (electrical circuits); Combinatorics; Geometry; Mathematical physics; Mathematical analysis; Gauge theory","score_opus":0.05367133645798482,"score_gpt":0.3215168632131243,"score_spread":0.26784552675513945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007743955","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9799754,0.0048556486,0.00016917751,0.0007267749,0.0003224346,0.00012249412,0.000008157921,0.0000969386,0.01372298],"genre_scores_gemma":[0.9912741,0.00011601854,0.0044271424,0.00050446304,0.00020684105,0.000008870159,0.0000038391922,0.00002471494,0.003433994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988716,0.00006346597,0.0002229568,0.00018076952,0.00016392647,0.0004972583],"domain_scores_gemma":[0.998961,0.00044033097,0.000080464786,0.00026204175,0.000040547664,0.00021563172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003500543,0.00016330044,0.00025858567,0.00018233235,0.000101613965,0.000017039274,0.0001234609,0.00012315561,0.00031179338],"category_scores_gemma":[0.00041016535,0.00014015459,0.0000712851,0.00026804773,0.00010812966,0.00014992047,0.00011208308,0.0001457874,0.00024656544],"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":[0.00004289039,0.0005744701,0.16071947,0.00032756288,0.00022437068,0.000033947526,0.0030990378,2.3907152e-8,0.0006961601,0.7182446,0.0796079,0.03642957],"study_design_scores_gemma":[0.0016110707,0.00031002448,0.32487503,0.00007725771,0.00022299353,0.0005534604,0.0022102129,0.000023295699,0.0023101831,0.3082258,0.35848987,0.0010907777],"about_ca_topic_score_codex":0.000043968575,"about_ca_topic_score_gemma":0.000010161589,"teacher_disagreement_score":0.41001877,"about_ca_system_score_codex":0.00001705474,"about_ca_system_score_gemma":0.000018643026,"threshold_uncertainty_score":0.5715338},"labels":[],"label_agreement":null},{"id":"W2007875984","doi":"10.1090/s0002-9947-08-04301-8","title":"Angle structures and normal surfaces","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"Centre de Recherches Mathématiques; Yale University","keywords":"Mathematics; Triangulation; Euler characteristic; Surface (topology); Space (punctuation); Ideal (ethics); Boundary (topology); Manifold (fluid mechanics); Mathematical analysis; Pure mathematics; Geometry","score_opus":0.025782329329615952,"score_gpt":0.2740248747898592,"score_spread":0.24824254546024327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007875984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9352637,0.000054653072,0.063240886,0.00058300886,0.00003280193,0.00012332691,0.000011529324,0.000044698612,0.00064539246],"genre_scores_gemma":[0.94820637,0.000068429035,0.05109674,0.000091104426,0.000014102876,0.0000055571295,1.809707e-7,0.000012502296,0.00050504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991657,0.000048332993,0.00024923275,0.0001328385,0.00020959413,0.0001942724],"domain_scores_gemma":[0.998899,0.0005599994,0.00016627833,0.00027799257,0.000035964273,0.000060801845],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013045037,0.00012010934,0.00033832554,0.00002296618,0.0002446742,0.0000051456354,0.00020089158,0.000042279018,0.0002775951],"category_scores_gemma":[0.000087404704,0.00007650438,0.00024680913,0.0004254613,0.0014785876,0.000049062244,0.00002179665,0.00017072774,0.00000390915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029129765,0.005315326,0.022001194,0.0034465857,0.004480927,0.00001767499,0.07843249,0.0008998801,0.012435066,0.7770577,0.032348674,0.06327321],"study_design_scores_gemma":[0.0008242235,0.0003150476,0.03658426,0.000036336303,0.00034246422,0.00042413498,0.0062079923,0.0016661938,0.006395259,0.9463342,0.0004110585,0.00045884232],"about_ca_topic_score_codex":0.000051515523,"about_ca_topic_score_gemma":0.0000025525917,"teacher_disagreement_score":0.1692765,"about_ca_system_score_codex":0.0000139432295,"about_ca_system_score_gemma":0.000026269687,"threshold_uncertainty_score":0.54479176},"labels":[],"label_agreement":null},{"id":"W2008886491","doi":"10.1007/bf02984407","title":"Groups with infinitely many types of fixed subgroups","year":2004,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Automorphism; Fixed point; Automorphisms of the symmetric and alternating groups; Pure mathematics; Group (periodic table); Finitely-generated abelian group; Word (group theory); Discrete mathematics; Mathematical analysis","score_opus":0.03289774590340395,"score_gpt":0.2773020240004479,"score_spread":0.24440427809704396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008886491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92702645,0.00031017253,0.07010511,0.00032977402,0.00014316499,0.0001285707,0.000004829757,0.000021707105,0.0019301975],"genre_scores_gemma":[0.84404576,0.000045454042,0.15556005,0.000057867936,0.000105871535,0.0000013580382,4.785651e-7,0.000034014305,0.00014917747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998043,0.00003814498,0.0010058758,0.00010538782,0.00054494425,0.000262633],"domain_scores_gemma":[0.9971975,0.0007137993,0.001287166,0.000309445,0.00037509185,0.00011696403],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072827534,0.0002072188,0.00072296784,0.00041155634,0.000044902892,0.0000192067,0.0003928109,0.00012439176,0.00008429184],"category_scores_gemma":[0.0008071542,0.00014056874,0.00017508472,0.0005077807,0.00016826025,0.00011508038,0.000054234974,0.00030338985,0.000020759955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011202563,0.00173934,0.0018539154,0.00095575216,0.0005634865,0.00028578265,0.004660991,0.00022254165,0.0008392596,0.9869386,0.00047882868,0.0013494632],"study_design_scores_gemma":[0.0035513295,0.0015505019,0.0010779629,0.0007138727,0.00042967752,0.0029015609,0.0055643152,0.000041959578,0.0061370903,0.9772989,0.00038721669,0.00034561232],"about_ca_topic_score_codex":0.000007168216,"about_ca_topic_score_gemma":0.000012089947,"teacher_disagreement_score":0.08545493,"about_ca_system_score_codex":0.000048767823,"about_ca_system_score_gemma":0.00013691235,"threshold_uncertainty_score":0.5732227},"labels":[],"label_agreement":null},{"id":"W2013517949","doi":"10.1142/s0218216514500138","title":"Khovanov homology for alternating tangles","year":2014,"lang":"en","type":"preprint","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"George Brown College; University of Toronto","funders":"","keywords":"Khovanov homology; Diagonal; Generalization; Mathematics; Pure mathematics; Planar; Algebra over a field; Computer science; Mathematical analysis; Geometry","score_opus":0.059575467612058355,"score_gpt":0.3553148394194765,"score_spread":0.29573937180741816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013517949","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5645826,0.004121691,0.42549747,0.0023536142,0.001523916,0.00047809238,0.00007122143,0.000034598943,0.0013368232],"genre_scores_gemma":[0.9838396,0.00026387957,0.013473623,0.00013103696,0.00075939053,0.00002388198,0.000008821697,0.000028618822,0.0014711972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983582,0.00033079684,0.00078170706,0.00020079297,0.00012889641,0.00019959453],"domain_scores_gemma":[0.99374866,0.0041231904,0.0013022203,0.00026985686,0.0004586762,0.000097407006],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002489035,0.00018692556,0.0005568485,0.0003987557,0.00016346078,0.000039722836,0.00040562765,0.0002689502,0.000080941994],"category_scores_gemma":[0.0060871444,0.00015266659,0.00021807542,0.00010258057,0.000114336566,0.000055225875,0.00014682792,0.00053656526,0.000004988599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004622397,0.00011376573,0.000021289805,0.00023373851,0.00019638299,0.0000026230966,0.0005763311,0.00004522896,0.00030138897,0.99112815,0.0009871293,0.006347766],"study_design_scores_gemma":[0.00043766462,0.00014210994,0.00014383554,0.00011639499,0.0002645516,0.00019131784,0.00036845618,0.000345067,0.00040158822,0.99178797,0.0056433575,0.000157669],"about_ca_topic_score_codex":6.463418e-7,"about_ca_topic_score_gemma":7.9697463e-7,"teacher_disagreement_score":0.41925696,"about_ca_system_score_codex":0.000029798915,"about_ca_system_score_gemma":0.00011806952,"threshold_uncertainty_score":0.72873205},"labels":[],"label_agreement":null},{"id":"W2013964428","doi":"10.1016/j.jalgebra.2012.10.016","title":"Dehornoy-like left orderings and isolated left orderings","year":2012,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"","keywords":"Mathematics; Generalization; Property (philosophy); Combinatorics; Construct (python library); Braid; Computer science; Mathematical analysis","score_opus":0.022258346596852076,"score_gpt":0.2757037143174144,"score_spread":0.25344536772056236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013964428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9901303,0.0015728461,0.0056180023,0.0009327327,0.0007180353,0.00009044075,0.0000013572796,0.00003956209,0.00089674373],"genre_scores_gemma":[0.98927927,0.00019435698,0.008785627,0.00034514428,0.00036325466,4.5378835e-7,5.2253756e-7,0.000039872582,0.0009915155],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983075,0.00006246417,0.0006726928,0.00013639107,0.00030595317,0.00051499595],"domain_scores_gemma":[0.99838346,0.00038157453,0.0005370356,0.00019648869,0.00018372144,0.00031771252],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007949932,0.00022431536,0.0005148834,0.0003908087,0.000108888555,0.000046252724,0.00024030625,0.00017505034,0.000876819],"category_scores_gemma":[0.0006645359,0.00018040354,0.00013181962,0.00024420512,0.000110503875,0.00044518991,0.00012558723,0.00046001095,0.00003947307],"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":[0.0010911983,0.0037058627,0.49984276,0.0016103586,0.003716165,0.00059461524,0.04013737,0.000019799123,0.022892471,0.20340131,0.15899265,0.06399545],"study_design_scores_gemma":[0.010645184,0.004057847,0.14823098,0.0006512126,0.0015559228,0.03709895,0.007639458,0.00033715763,0.0068640104,0.42401195,0.35587135,0.00303598],"about_ca_topic_score_codex":0.000009642782,"about_ca_topic_score_gemma":0.00000577991,"teacher_disagreement_score":0.35161176,"about_ca_system_score_codex":0.000040989213,"about_ca_system_score_gemma":0.000057203233,"threshold_uncertainty_score":0.9600553},"labels":[],"label_agreement":null},{"id":"W2014126660","doi":"10.1142/s021919970500174x","title":"HOMOLOGOUS NON-ISOTOPIC SYMPLECTIC TORI IN A K3 SURFACE","year":2005,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric and Algebraic Topology","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; McMaster University","funders":"","keywords":"Symplectic geometry; Homology (biology); Torus; Symplectic representation; K3 surface; Clifford torus","score_opus":0.1751592824507689,"score_gpt":0.3864960906683768,"score_spread":0.21133680821760792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014126660","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88985276,0.003643326,0.005271325,0.008384896,0.00018525831,0.00144118,0.000012719947,0.00021303253,0.0909955],"genre_scores_gemma":[0.8935984,0.00018866392,0.104349576,0.00014366914,0.000032643184,0.00009224468,0.000010761556,0.000035887704,0.0015481958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788666,0.0002352057,0.0010565554,0.0002645717,0.00019179474,0.0003652382],"domain_scores_gemma":[0.99444485,0.0026609474,0.00029493493,0.002448155,0.000078003904,0.00007308353],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011079545,0.00024613156,0.00059022306,0.00043930442,0.00011845707,0.000033520686,0.0014480515,0.0002046129,0.00009602678],"category_scores_gemma":[0.0011598853,0.00024783087,0.000087215514,0.0011753334,0.00022703475,0.00021673506,0.0005103807,0.00056474144,0.00011286279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019978672,0.005432382,0.031838737,0.00056621176,0.00010636848,0.00006084192,0.019096706,0.00011852144,0.0002047462,0.92817,0.009743541,0.004641919],"study_design_scores_gemma":[0.0034291842,0.00019262213,0.00338705,0.0005579311,0.00004407801,0.00016833872,0.005233797,0.022974573,0.0003377783,0.94801265,0.014674852,0.0009871416],"about_ca_topic_score_codex":0.00011029881,"about_ca_topic_score_gemma":0.00075134455,"teacher_disagreement_score":0.09907825,"about_ca_system_score_codex":0.00021893036,"about_ca_system_score_gemma":0.000191989,"threshold_uncertainty_score":0.9999974},"labels":[],"label_agreement":null},{"id":"W2014323959","doi":"10.4310/mrl.2002.v9.n3.a1","title":"On the minimal number of critical points of functions on $h$-cobordisms","year":2002,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","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; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Russian Foundation for Basic Research","keywords":"Mathematics; Cobordism; Torsion (gastropod); Zero (linguistics); Critical point (mathematics); Pure mathematics; Function (biology); Combinatorics; Mathematical analysis; Anatomy","score_opus":0.17339605474345654,"score_gpt":0.4174563180568322,"score_spread":0.24406026331337566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014323959","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8773755,0.000008486701,0.004223379,0.061008494,0.000075384814,0.00036438214,0.00001900329,0.000029870564,0.056895528],"genre_scores_gemma":[0.99539965,0.000001744408,0.0025665888,0.00064157986,0.000055752735,0.00004580884,5.906701e-7,0.000025292982,0.0012630083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969586,0.00044600543,0.00052191404,0.0002509632,0.0012638902,0.0005586101],"domain_scores_gemma":[0.9727363,0.02625704,0.000070781745,0.0006400696,0.00016476469,0.0001310641],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0018766938,0.00015146517,0.00037687772,0.0002649808,0.00014037186,0.000018730854,0.0004208802,0.000101762984,0.0141965505],"category_scores_gemma":[0.027026085,0.00009343661,0.00017200477,0.00071179826,0.001370286,0.000037453203,0.00012624211,0.0006162449,0.0018195523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003190146,0.0010270705,0.000032149434,0.00021176437,0.00003620131,0.000011735499,0.00038903547,5.42021e-7,0.0006024535,0.9126738,0.08469443,0.00028893483],"study_design_scores_gemma":[0.00039677686,0.00043221732,0.00018170274,0.00018149514,0.000028934663,0.000021618469,0.00070038723,0.00045461455,0.0026324259,0.9944779,0.00035250137,0.00013939061],"about_ca_topic_score_codex":0.000004004463,"about_ca_topic_score_gemma":3.5933803e-7,"teacher_disagreement_score":0.11802416,"about_ca_system_score_codex":0.000039520302,"about_ca_system_score_gemma":0.000013867457,"threshold_uncertainty_score":0.99895763},"labels":[],"label_agreement":null},{"id":"W2014564254","doi":"10.1016/j.topol.2014.11.003","title":"Mapping tori of small dilatation expanding train-track maps","year":2014,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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; Track (disk drive); Torus; Geometry; Mathematical analysis; Computer science","score_opus":0.046052473220627166,"score_gpt":0.3045047010965281,"score_spread":0.25845222787590094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014564254","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65228283,0.00040352202,0.32983613,0.0019064395,0.0001267673,0.0005089809,0.00002047783,0.00010036232,0.014814469],"genre_scores_gemma":[0.99203247,0.00004475675,0.0067571946,0.00009691806,0.000112552414,0.00007987776,0.00001547908,0.0000089024015,0.00085187977],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992962,0.000047226837,0.00026063508,0.00018447143,0.000048918933,0.0001625449],"domain_scores_gemma":[0.9989823,0.00059947633,0.0001406707,0.00017556509,0.00005322259,0.000048769078],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002746138,0.000087,0.00020042637,0.00014802293,0.00013343814,0.00000472538,0.00010643553,0.00011907833,0.0001074233],"category_scores_gemma":[0.00024499217,0.00008243438,0.000031361662,0.00023617811,0.00011660541,0.000035480934,0.000034067685,0.00009457568,0.000019333618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026681478,0.000046599762,0.00045679562,0.000060473776,0.000016060836,1.1405174e-7,0.0006400171,9.616842e-7,0.0012639092,0.9838336,0.00022118285,0.013457585],"study_design_scores_gemma":[0.00051875017,0.00009002115,0.005725651,0.000014265829,0.000044421187,0.00002712258,0.001090255,0.0002670847,0.0027035996,0.96831214,0.021019556,0.00018711551],"about_ca_topic_score_codex":0.000008907196,"about_ca_topic_score_gemma":0.000009259504,"teacher_disagreement_score":0.33974957,"about_ca_system_score_codex":0.000008537734,"about_ca_system_score_gemma":0.000011727936,"threshold_uncertainty_score":0.33615765},"labels":[],"label_agreement":null},{"id":"W2015675697","doi":"10.1090/s0002-9947-09-05039-9","title":"Free actions of finite groups on 𝑆ⁿ×𝑆ⁿ","year":2009,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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","keywords":"Prime (order theory); Mathematics; Abelian group; Rank (graph theory); Combinatorics; Extension (predicate logic); Group (periodic table); Construct (python library); Pure mathematics; Finite group; Physics; Computer science; Quantum mechanics","score_opus":0.04836161892151213,"score_gpt":0.31602316858475216,"score_spread":0.26766154966324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015675697","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22788315,0.000060347444,0.7570983,0.0050743716,0.00037530862,0.0010409417,0.0005188361,0.00020449747,0.007744224],"genre_scores_gemma":[0.9171508,0.00014025596,0.081221215,0.0002566745,0.00007896205,0.00006089268,0.0000042327756,0.00005510563,0.001031892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974302,0.00018803953,0.0009582096,0.000406188,0.0006366972,0.0003806516],"domain_scores_gemma":[0.99399793,0.002592981,0.0011826282,0.0019698173,0.00014423263,0.00011241283],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004839552,0.00040804388,0.0012910999,0.00013087993,0.0001860939,0.000015206685,0.0012717992,0.00028350583,0.00058146083],"category_scores_gemma":[0.00065589073,0.0002948167,0.0018473277,0.0009027228,0.0013324701,0.00003733391,0.00014749999,0.001283555,0.000016379987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003508102,0.01769458,0.00018274537,0.008732243,0.006984927,0.0000047848125,0.016523777,0.010993633,0.0017068513,0.8621471,0.037028544,0.037650008],"study_design_scores_gemma":[0.0003853405,0.00030176292,0.0005838518,0.00032894628,0.00071095163,0.000008119029,0.0014246238,0.0011617619,0.0014292529,0.99320793,0.00013526483,0.00032217416],"about_ca_topic_score_codex":0.00008224672,"about_ca_topic_score_gemma":0.0000060620664,"teacher_disagreement_score":0.68926764,"about_ca_system_score_codex":0.000111297224,"about_ca_system_score_gemma":0.00013170377,"threshold_uncertainty_score":0.9999504},"labels":[],"label_agreement":null},{"id":"W2015696732","doi":"10.1006/jabr.2001.9134","title":"Separability Properties of Certain Tree Products of Groups","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Mathematics; Separable space; Coset; Conjugacy class; Torus; Tree (set theory); Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.07605246869758418,"score_gpt":0.2691430127519998,"score_spread":0.1930905440544156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015696732","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99576926,0.0014251651,0.00014505378,0.0012899222,0.00019441046,0.00013071467,0.0000018924877,0.000008326317,0.0010352266],"genre_scores_gemma":[0.99603295,0.000058219397,0.0030180595,0.000023367491,0.00014281715,0.0000011254308,1.1774609e-7,0.000013292194,0.00071007415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99817073,0.00012743751,0.0009980258,0.00011948121,0.00038922488,0.00019506943],"domain_scores_gemma":[0.99794024,0.00022416015,0.0009910626,0.0003002616,0.00047552583,0.00006873114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078801555,0.00013024996,0.0006135117,0.00027956298,0.000026384387,0.0000056996073,0.000289481,0.00008748976,0.00032250857],"category_scores_gemma":[0.0026021358,0.00008894339,0.00018340824,0.000489401,0.00021403295,0.00014308427,0.000048513295,0.00021349227,0.000006135258],"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":[0.0018912744,0.019896252,0.07397605,0.012550618,0.0036660305,0.00025813075,0.047805402,0.00009050252,0.2587906,0.3600001,0.09280556,0.12826948],"study_design_scores_gemma":[0.0052367905,0.0047520697,0.029494053,0.0008040979,0.0007083653,0.0011098322,0.0038537923,0.00027037133,0.4800514,0.46949497,0.0034300254,0.00079424615],"about_ca_topic_score_codex":0.000008128644,"about_ca_topic_score_gemma":0.0000037409818,"teacher_disagreement_score":0.22126079,"about_ca_system_score_codex":0.000030758656,"about_ca_system_score_gemma":0.000052572108,"threshold_uncertainty_score":0.3627006},"labels":[],"label_agreement":null},{"id":"W2016643675","doi":"10.1353/ajm.0.0016","title":"Knot Floer homology detects genus-one fibred knots","year":2008,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":170,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fibered knot; Floer homology; Mathematics; Knot (papermaking); Corollary; Knot invariant; Homology (biology); Pure mathematics; Tricolorability; Knot complement; Conjecture; Khovanov homology; Knot theory; Combinatorics; Symplectic geometry; Biology; Amino acid","score_opus":0.04824581893821547,"score_gpt":0.2853034068701989,"score_spread":0.23705758793198342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016643675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9633678,0.00024711623,0.034070063,0.0005669196,0.00025711738,0.0001255931,0.000004071008,0.00004350217,0.0013178132],"genre_scores_gemma":[0.80910534,0.00015068779,0.18970217,0.00017678908,0.0002608459,0.000003228385,4.7440378e-7,0.000047349247,0.00055311865],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758667,0.00015365475,0.0010890755,0.00017616508,0.00051139446,0.00048306413],"domain_scores_gemma":[0.9959451,0.0015561339,0.0015081759,0.000436958,0.0003151911,0.00023847098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006157638,0.00026272453,0.0011023208,0.00048760176,0.00013482888,0.000012847436,0.00050821423,0.000102244616,0.00035175378],"category_scores_gemma":[0.0017440119,0.00021815415,0.0002841035,0.00075903675,0.00069067534,0.0001069785,0.00009739819,0.0004307187,0.00010674464],"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":[0.0010449021,0.02250343,0.013270785,0.0029543526,0.009499687,0.012954044,0.09965254,0.0002672898,0.027033845,0.26548374,0.13902113,0.40631425],"study_design_scores_gemma":[0.007936913,0.012685023,0.006210902,0.00070936454,0.0015446084,0.08420103,0.015639413,0.0006683569,0.020134736,0.8326521,0.014951843,0.0026656908],"about_ca_topic_score_codex":0.000010219408,"about_ca_topic_score_gemma":0.000002227208,"teacher_disagreement_score":0.5671684,"about_ca_system_score_codex":0.00006661704,"about_ca_system_score_gemma":0.000176014,"threshold_uncertainty_score":0.8896068},"labels":[],"label_agreement":null},{"id":"W2017719974","doi":"10.1007/s00208-003-0434-9","title":"A surgery view of boundary links","year":2003,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Modulo; Noncommutative geometry; Boundary (topology); Alexander polynomial; Homology (biology); Set (abstract data type); Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis; Knot (papermaking); Computer science; Knot theory","score_opus":0.07564919101264782,"score_gpt":0.3115666219223998,"score_spread":0.23591743090975198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017719974","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8710306,0.0065286527,0.018180033,0.0009357413,0.00042396717,0.0005423975,0.000023459987,0.00022418056,0.102110945],"genre_scores_gemma":[0.95611465,0.0002638488,0.035320695,0.00030285976,0.00007666506,0.00004321219,0.000005150802,0.000064287226,0.007808612],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842775,0.00015015547,0.00060845644,0.0002185656,0.0002652668,0.0003297846],"domain_scores_gemma":[0.9976128,0.0014225182,0.00029511124,0.00048190978,0.00010104473,0.00008663566],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011931462,0.00018699352,0.00063152355,0.00024442156,0.000069609196,0.000016611582,0.00018281283,0.00021590079,0.0018894379],"category_scores_gemma":[0.002138107,0.00015641582,0.00022782918,0.0005236682,0.00013530665,0.000088974026,0.000046046123,0.00025735353,0.00019631983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011282676,0.0006050327,0.0029427533,0.0018323621,0.00024320031,0.000036251164,0.0013573308,3.8212104e-7,0.0002640638,0.8885451,0.08980165,0.014360601],"study_design_scores_gemma":[0.00028181283,0.000057481368,0.00057034503,0.00021902446,0.00007892221,0.00016363879,0.00024607062,0.000009106773,0.0049850177,0.8715049,0.12157345,0.00031025073],"about_ca_topic_score_codex":0.000004802476,"about_ca_topic_score_gemma":0.000002463485,"teacher_disagreement_score":0.094302334,"about_ca_system_score_codex":0.000010669448,"about_ca_system_score_gemma":0.00011163752,"threshold_uncertainty_score":0.99902296},"labels":[],"label_agreement":null},{"id":"W2018099212","doi":"10.4153/cmb-2012-042-0","title":"Free Groups Generated by Two Heisenberg Translations","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Hunan University; National Science Foundation","keywords":"Mathematics; Heisenberg group; Algebra over a field; Pure mathematics","score_opus":0.02994959067927981,"score_gpt":0.2674486776076364,"score_spread":0.23749908692835658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018099212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6622966,0.0019857504,0.056088433,0.05288403,0.0008128421,0.001428499,0.0007487147,0.0005418318,0.22321332],"genre_scores_gemma":[0.9763942,0.0000057664797,0.012312669,0.0012716475,0.00030698226,0.000059296413,0.000043634896,0.00006672997,0.009539079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980118,0.00010763967,0.00045014228,0.0002332497,0.0002302363,0.00096693373],"domain_scores_gemma":[0.99748397,0.00066581485,0.00007417709,0.00055937836,0.000057774603,0.0011588953],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00049997633,0.0002497096,0.0003771531,0.00023253218,0.00020371834,0.000038490216,0.00036832225,0.00018591793,0.045491382],"category_scores_gemma":[0.0012482211,0.00022930198,0.00012189411,0.00041265544,0.00014782298,0.00005128541,0.000033581444,0.0002604511,0.006499107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018694122,0.00011731737,0.00012827998,0.000041066018,0.000040708528,0.0000074380796,0.00035796722,5.3493886e-7,0.00007621605,0.57275707,0.42600948,0.00046208024],"study_design_scores_gemma":[0.0010736198,0.00004112495,0.00012757529,0.000032839966,0.00012336628,0.000115330506,0.00029013064,0.00013254081,0.00046817533,0.6427163,0.35429332,0.0005856813],"about_ca_topic_score_codex":0.00085635483,"about_ca_topic_score_gemma":0.0010898124,"teacher_disagreement_score":0.3140976,"about_ca_system_score_codex":0.00011989847,"about_ca_system_score_gemma":0.000098902514,"threshold_uncertainty_score":0.99427444},"labels":[],"label_agreement":null},{"id":"W2018223641","doi":"10.1142/s0218216511009170","title":"GENERALIZED ATMOSPHERIC SAMPLING OF KNOTTED POLYGONS","year":2011,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 British Columbia; York University","funders":"","keywords":"Mathematics; Combinatorics; Knot (papermaking); Lattice (music); Exponent; Regular polygon; Entropy (arrow of time); Geometry; Physics; Thermodynamics","score_opus":0.09248664353324716,"score_gpt":0.3194348171704989,"score_spread":0.22694817363725173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018223641","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95604587,0.0016825524,0.04032794,0.00016738228,0.00016414978,0.000087979424,0.000006827746,0.000013114394,0.0015042145],"genre_scores_gemma":[0.9686573,0.00023151605,0.030187672,0.00004568489,0.000064669155,0.000001910869,7.0945146e-7,0.000011433366,0.0007990854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989337,0.00019136652,0.0005568213,0.000083358456,0.000104937455,0.00012984821],"domain_scores_gemma":[0.9982335,0.0007279725,0.0005583561,0.00016188752,0.00023079413,0.000087501765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008917491,0.000092055416,0.0002867898,0.000081067774,0.00009239352,0.000006497985,0.0001796086,0.00007248346,0.0005619132],"category_scores_gemma":[0.0012875606,0.000071287286,0.0001027558,0.00035689253,0.00009970019,0.000099217206,0.000025936462,0.00015206201,0.000005570209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007582046,0.00020903484,0.0001910774,0.000026237689,0.00010640858,0.000001556867,0.0016849819,0.000002103319,0.0036764876,0.99072367,0.00015195618,0.0031506536],"study_design_scores_gemma":[0.00090632914,0.00023943878,0.009824444,0.000055939545,0.0002893313,0.00018409167,0.0016242091,0.00009322765,0.004380132,0.9808547,0.0013843654,0.00016379153],"about_ca_topic_score_codex":0.0000024813232,"about_ca_topic_score_gemma":6.8907326e-7,"teacher_disagreement_score":0.0126114795,"about_ca_system_score_codex":0.000010461883,"about_ca_system_score_gemma":0.000058502337,"threshold_uncertainty_score":0.61525553},"labels":[],"label_agreement":null},{"id":"W2019345174","doi":"10.1007/s00222-005-0498-0","title":"Universal lattices and property tau","year":2006,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":32,"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":"Tata Institute of Fundamental Research; University of Alberta","keywords":"Mathematics; Bounded function; Combinatorics; Commutative property; Generalization; Constant (computer programming); Congruence (geometry); Property (philosophy); Pure mathematics; Discrete mathematics; Geometry; Mathematical analysis","score_opus":0.03896339547605344,"score_gpt":0.2748459476257193,"score_spread":0.23588255214966586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019345174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9357618,0.00030515817,0.011822997,0.0018318624,0.00016568194,0.00042587105,0.0000062157796,0.00029719915,0.049383212],"genre_scores_gemma":[0.9524697,0.000011082277,0.02234162,0.000043606036,0.00010701439,0.00001759203,0.0000045584015,0.000024311224,0.024980525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911076,0.000044539036,0.00028687844,0.00018725278,0.00016478008,0.00020579522],"domain_scores_gemma":[0.99931747,0.00025070566,0.00013267275,0.00020181714,0.00004792307,0.000049425536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025275283,0.00013022436,0.00022834326,0.00014417765,0.00011089972,0.000037255126,0.00011401537,0.000074384465,0.00038500995],"category_scores_gemma":[0.00019134974,0.00008612312,0.00006200655,0.00023453885,0.00015804898,0.00012730362,0.000071113085,0.000077619385,0.00011425274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036149784,0.00019721301,0.0009816207,0.00023703382,0.000025323783,0.000009243815,0.00014396345,3.744291e-7,0.00011591012,0.99042374,0.006855982,0.0010059609],"study_design_scores_gemma":[0.0003695606,0.00003703748,0.0013919721,0.000049593527,0.00006062735,0.000056564055,0.0002682181,0.00018350201,0.00020664066,0.9922285,0.005001944,0.00014582575],"about_ca_topic_score_codex":0.000051667525,"about_ca_topic_score_gemma":0.000014959684,"teacher_disagreement_score":0.024402687,"about_ca_system_score_codex":0.000016774213,"about_ca_system_score_gemma":0.000015456402,"threshold_uncertainty_score":0.4215589},"labels":[],"label_agreement":null},{"id":"W2019453185","doi":"10.1090/s0002-9947-10-04959-7","title":"The word and geodesic problems in free solvable groups","year":2010,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Geodesic; Word (group theory); Pure mathematics; Word problem (mathematics education); Free group; Algebra over a field; Combinatorics; Arithmetic; Group (periodic table); Mathematical analysis; Geometry","score_opus":0.014357448702987751,"score_gpt":0.2520178922286684,"score_spread":0.23766044352568064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019453185","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8931991,0.00078983785,0.08212104,0.020259243,0.0007538683,0.0012799331,0.00006001894,0.00007747246,0.0014594964],"genre_scores_gemma":[0.97211766,0.00076745386,0.023232076,0.00018073329,0.00007554841,0.00008563416,4.2391764e-7,0.000054846812,0.0034856498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99757487,0.00017235051,0.0008071057,0.00033771526,0.00042916805,0.00067877764],"domain_scores_gemma":[0.99494606,0.003050521,0.000510572,0.001273671,0.00008091427,0.00013826374],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0013654692,0.00031661568,0.0007239303,0.000055151828,0.0005312396,0.00006944839,0.0009936878,0.00019232043,0.00031233058],"category_scores_gemma":[0.00055330695,0.00019204851,0.0005362292,0.0013482892,0.0042280853,0.00010946512,0.0001141186,0.0013546677,0.00002215345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018442077,0.009548683,0.003731147,0.0065816673,0.0030515802,0.0000057989205,0.05178338,0.00046497674,0.007068132,0.75396985,0.01936316,0.1442472],"study_design_scores_gemma":[0.000929691,0.00020952834,0.0025438755,0.00018325803,0.0003865139,0.000054785472,0.008032235,0.0050337533,0.00030496853,0.98056406,0.0013836615,0.00037366562],"about_ca_topic_score_codex":0.000413833,"about_ca_topic_score_gemma":0.0003899073,"teacher_disagreement_score":0.22659421,"about_ca_system_score_codex":0.000048816524,"about_ca_system_score_gemma":0.00010464439,"threshold_uncertainty_score":0.9984818},"labels":[],"label_agreement":null},{"id":"W2019464346","doi":"10.1090/s1088-4173-2013-00249-x","title":"A Cantor set with hyperbolic complement","year":2013,"lang":"en","type":"article","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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","funders":"","keywords":"Complement (music); Annotation; Semantics (computer science); Set (abstract data type); Class (philosophy); Computer science; Metric (unit); Algorithm; Artificial intelligence; Mathematics; Chemistry","score_opus":0.016495469201266537,"score_gpt":0.2643315532878149,"score_spread":0.24783608408654834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019464346","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.981875,0.000021349042,0.013895354,0.001329416,0.00002768179,0.00041509254,0.000036017173,0.000037062142,0.0023630161],"genre_scores_gemma":[0.97625947,0.000017629847,0.022555113,0.00054326386,0.000022804757,0.000029641313,0.000004616792,0.000018283963,0.0005492015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862045,0.00003622147,0.00041344727,0.0001780774,0.00034886246,0.00040297036],"domain_scores_gemma":[0.9983515,0.0005909693,0.0004028024,0.00040503845,0.00010669151,0.00014299994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031516165,0.00020952965,0.0005616712,0.000052047624,0.00015805724,0.000036314283,0.0003882128,0.000052287745,0.0003447429],"category_scores_gemma":[0.00019029272,0.00011879771,0.0001861779,0.0007075016,0.0012299157,0.000101501224,0.00031633454,0.00021743067,0.000015111399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003972834,0.000364737,0.016105251,0.0008402619,0.000589842,0.0000011609089,0.0019827506,0.000014061312,0.00010643354,0.9648956,0.0036097548,0.011450401],"study_design_scores_gemma":[0.0023727685,0.0013132005,0.06264016,0.00021657305,0.0004809485,0.00028085575,0.032009944,0.0776687,0.00024191331,0.8206221,0.0010185132,0.0011343085],"about_ca_topic_score_codex":0.00018321922,"about_ca_topic_score_gemma":0.000012547205,"teacher_disagreement_score":0.1442735,"about_ca_system_score_codex":0.00004337863,"about_ca_system_score_gemma":0.00004681409,"threshold_uncertainty_score":0.484443},"labels":[],"label_agreement":null},{"id":"W2019523647","doi":"10.1016/j.crma.2015.01.008","title":"Garside families in Artin–Tits monoids and low elements in Coxeter groups","year":2015,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Coxeter group; Mathematics; Artin group; Coxeter element; Longest element of a Coxeter group; Combinatorics; Group (periodic table); Coxeter complex","score_opus":0.04803048959976338,"score_gpt":0.30009100306713266,"score_spread":0.2520605134673693,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019523647","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99434394,0.00043676063,0.00050962565,0.00032874383,0.00013043343,0.00028989912,0.000006143275,0.000061385384,0.0038930494],"genre_scores_gemma":[0.99323404,0.00009348255,0.0060255677,0.00016217533,0.000036202866,0.000050729977,0.000008133803,0.000025055233,0.0003646003],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834675,0.00015925357,0.0006088784,0.00029327776,0.00019359018,0.00039823097],"domain_scores_gemma":[0.9989816,0.00039852993,0.00015233045,0.00028490307,0.000048746482,0.00013389965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006343545,0.00021944987,0.0004578381,0.000476394,0.000027168877,0.000034757486,0.00019418795,0.00016421944,0.00014033436],"category_scores_gemma":[0.00071899174,0.00020303081,0.000034136032,0.000430678,0.00009076636,0.0001255845,0.00018156275,0.0003008213,0.00009093833],"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":[0.00018005433,0.0019349268,0.66240656,0.0010692899,0.00013343646,0.00054643175,0.023222221,0.00012670989,0.0012619463,0.23018134,0.058789,0.02014807],"study_design_scores_gemma":[0.006295789,0.00042694015,0.13046812,0.00055889494,0.00003547885,0.0001263071,0.0060458207,0.008988473,0.002325457,0.8409133,0.0027442116,0.0010712341],"about_ca_topic_score_codex":0.000091092996,"about_ca_topic_score_gemma":0.00029987062,"teacher_disagreement_score":0.61073196,"about_ca_system_score_codex":0.000086034335,"about_ca_system_score_gemma":0.000048977796,"threshold_uncertainty_score":0.8279356},"labels":[],"label_agreement":null},{"id":"W2019744979","doi":"10.1017/s0305004107000229","title":"Klein slopes on hyperbolic 3-manifolds","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Klein bottle; Torus; Mathematics; Boundary (topology); Hyperbolic 3-manifold; Manifold (fluid mechanics); Hyperbolic manifold; Relatively hyperbolic group; Pure mathematics; Upper and lower bounds; Mathematical analysis; Combinatorics; Geometry; Hyperbolic function","score_opus":0.03874512328547219,"score_gpt":0.2877563795152289,"score_spread":0.24901125622975673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019744979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.875996,0.000040134903,0.0012556849,0.017692,0.0001747495,0.00060572335,0.000010220132,0.00019059451,0.10403487],"genre_scores_gemma":[0.9887868,0.000007961321,0.008453384,0.0012188794,0.00050674914,0.00001638281,6.079918e-7,0.00005776372,0.0009514678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970932,0.000014101136,0.0008734716,0.0004436919,0.0008998971,0.0006756558],"domain_scores_gemma":[0.9976042,0.0012139371,0.00038025726,0.00033616275,0.0002319368,0.00023353325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00175288,0.00036641417,0.0006981313,0.00008070947,0.00023584004,0.000035371548,0.0008949259,0.0003832366,0.00010291393],"category_scores_gemma":[0.002069985,0.00023203908,0.0007572052,0.00086404727,0.0006287923,0.00009706939,0.00040157884,0.00070038356,0.00008256075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032297336,0.00051188254,0.00024724973,0.00039544338,0.00008828055,0.0000011609937,0.00023057754,1.8328319e-7,0.0018723815,0.9865881,0.009646717,0.00038568658],"study_design_scores_gemma":[0.00057484565,0.00018006696,0.0011556678,0.00015749839,0.000112858295,0.000048095724,0.0002962244,0.00008931349,0.010267161,0.9858023,0.0010128868,0.00030306197],"about_ca_topic_score_codex":0.0000023374894,"about_ca_topic_score_gemma":1.2130417e-7,"teacher_disagreement_score":0.112790786,"about_ca_system_score_codex":0.00010344875,"about_ca_system_score_gemma":0.000024814159,"threshold_uncertainty_score":0.9462279},"labels":[],"label_agreement":null},{"id":"W2020795286","doi":"10.1112/jtopol/jtt043","title":"Reducible smooth structures on 4-manifolds with zero signature","year":2013,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Signature (topology); Zero (linguistics); Diffeomorphism; Integer (computer science); Construct (python library); Pure mathematics; Topology (electrical circuits); Combinatorics; Geometry; Computer science","score_opus":0.021431378939552707,"score_gpt":0.280659643424551,"score_spread":0.2592282644849983,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020795286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98321444,0.00032174366,0.001925784,0.00611291,0.00080730196,0.00015275324,0.0000018018832,0.000023254495,0.0074400026],"genre_scores_gemma":[0.9861684,0.000020449766,0.010838269,0.0007151012,0.00037381015,0.0000024475364,4.877172e-7,0.000021555563,0.0018594717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878085,0.000096429474,0.00041517534,0.00015283505,0.00024269221,0.00031199935],"domain_scores_gemma":[0.99844766,0.00045213103,0.00050731783,0.00025312402,0.00021522188,0.00012452161],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002239769,0.00017064651,0.00045294364,0.00039458805,0.000068625435,0.000021973374,0.00031280785,0.00023564989,0.0023768197],"category_scores_gemma":[0.0004072358,0.00010346289,0.00010378148,0.00024047795,0.00016415697,0.00010528584,0.00003536591,0.00055497687,0.000039241815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002794622,0.00037468388,0.0024390344,0.00006707729,0.000411072,0.00031359892,0.00068245304,0.000102129954,0.0019508809,0.70120436,0.28369337,0.008481914],"study_design_scores_gemma":[0.0011747384,0.0025777116,0.0075750565,0.000031753803,0.00008345969,0.001366458,0.00049962936,0.000005578339,0.0023819085,0.9765679,0.0075376076,0.00019818066],"about_ca_topic_score_codex":0.000033618413,"about_ca_topic_score_gemma":0.000007103128,"teacher_disagreement_score":0.27615577,"about_ca_system_score_codex":0.000040945306,"about_ca_system_score_gemma":0.000081543076,"threshold_uncertainty_score":0.99853516},"labels":[],"label_agreement":null},{"id":"W2020987782","doi":"10.1088/1742-6596/42/1/018","title":"Enumeration Bounds via an Isoperimetric-Type Inequality","year":2006,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric and Algebraic Topology","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isoperimetric inequality; Mathematics; Combinatorics; Enumeration; Upper and lower bounds; Hyperplane; Cardinality (data modeling); Lattice (music); Exponent; Inequality; Discrete mathematics; Mathematical analysis; Physics; Computer science","score_opus":0.06457364647168899,"score_gpt":0.32287705610901724,"score_spread":0.25830340963732823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020987782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8302513,0.00009125144,0.1672894,0.00028480703,0.00048161086,0.00006199632,0.0000035487744,0.000023890367,0.001512223],"genre_scores_gemma":[0.991806,0.000015853633,0.007034819,0.00003749227,0.0006569335,7.304218e-7,0.000005936974,0.000012314434,0.0004299191],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987826,0.000113930226,0.00051773037,0.000109669214,0.00029573552,0.00018037588],"domain_scores_gemma":[0.9983482,0.0001284236,0.0005375941,0.00018896449,0.00073289976,0.000063958396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039629836,0.00013827583,0.000353107,0.0001425705,0.00010178587,0.00009442206,0.00020165977,0.00007721348,0.0001617782],"category_scores_gemma":[0.00025253053,0.00011406287,0.00007991603,0.00057134725,0.0001069768,0.00079455576,0.00003022227,0.00021653768,0.000010273065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009734719,0.0004853774,0.0034514002,0.000046681173,0.000056890247,0.000014415994,0.00076623034,0.000022106104,0.015234286,0.93975425,0.001018495,0.039052524],"study_design_scores_gemma":[0.0003292841,0.0007351978,0.0041830316,0.000013840931,0.000045841083,0.00005755594,0.00035721844,0.00005188225,0.0665766,0.92644686,0.001036777,0.00016592449],"about_ca_topic_score_codex":0.000069146714,"about_ca_topic_score_gemma":0.000025500949,"teacher_disagreement_score":0.16155474,"about_ca_system_score_codex":0.000033784792,"about_ca_system_score_gemma":0.00017388607,"threshold_uncertainty_score":0.4651349},"labels":[],"label_agreement":null},{"id":"W2021047043","doi":"10.1090/s0002-9939-2014-12425-7","title":"Recognizing products of surfaces and simply connected 4-manifolds","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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","keywords":"Diffeomorphism; Manifold (fluid mechanics); Intersection (aeronautics); Mathematics; Isometry (Riemannian geometry); Pure mathematics; Product (mathematics); Surface (topology); Simply connected space; Group (periodic table); Topology (electrical circuits); Combinatorics; Geometry; Physics; Geography; Engineering","score_opus":0.03179783561866691,"score_gpt":0.2836854113089085,"score_spread":0.2518875756902416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021047043","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99481285,0.0000960138,0.0003487415,0.0020987866,0.00008285687,0.0006777044,0.000020184501,0.00008800392,0.001774873],"genre_scores_gemma":[0.92390776,0.00011489476,0.07547036,0.00012981072,0.0000869757,0.000028031445,0.0000011776524,0.00005407621,0.00020694041],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975536,0.00003504079,0.00093212374,0.00055694225,0.0005203125,0.0004020141],"domain_scores_gemma":[0.99514365,0.0012814885,0.0024660246,0.00036881218,0.0006428604,0.00009717806],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012639057,0.0004028223,0.0015896792,0.00006993905,0.000097687756,0.00003827126,0.0007903446,0.00022380268,0.000030403358],"category_scores_gemma":[0.0057213106,0.00027455066,0.0004230383,0.00068364496,0.0015834974,0.00005043314,0.0015818301,0.00061802653,0.0000024854019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002040084,0.0024699601,0.022723062,0.09087315,0.0045039197,9.387432e-7,0.028821953,0.00001808648,0.04605299,0.73205125,0.06354687,0.008733781],"study_design_scores_gemma":[0.0003060798,0.00018154601,0.0025606013,0.00078034925,0.00051427336,0.000019636793,0.0034318366,0.001190329,0.012485634,0.97798014,0.00011161619,0.0004379684],"about_ca_topic_score_codex":0.000044291934,"about_ca_topic_score_gemma":4.759161e-7,"teacher_disagreement_score":0.24592885,"about_ca_system_score_codex":0.000040799234,"about_ca_system_score_gemma":0.000072436334,"threshold_uncertainty_score":0.9999707},"labels":[],"label_agreement":null},{"id":"W2021175937","doi":"10.1088/1742-5468/2012/09/p09004","title":"Lattice knots in a slab","year":2012,"lang":"en","type":"article","venue":"Journal of Statistical Mechanics Theory and Experiment","topic":"Geometric and Algebraic Topology","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; York University","funders":"","keywords":"Lattice (music); Knot (papermaking); Compressibility; Polygon (computer graphics); Slab; Knot theory","score_opus":0.0327141414105596,"score_gpt":0.3421653011742136,"score_spread":0.309451159763654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021175937","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39085013,0.0025397472,0.604851,0.00017355144,0.0006107086,0.0001107173,0.0000072481257,0.000008406306,0.0008484538],"genre_scores_gemma":[0.9628471,0.000059915743,0.03679848,0.00011201627,0.00011072005,0.0000026297814,2.5330556e-7,0.0000093916915,0.0000594845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884933,0.00024588726,0.00040716567,0.00007013892,0.00017293556,0.00025454134],"domain_scores_gemma":[0.99772763,0.0018247848,0.00015355434,0.00007911892,0.00003838538,0.00017652818],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020194475,0.00009770805,0.00027687283,0.00013532654,0.000032966513,0.000010305215,0.00007938736,0.00006489102,0.00044569027],"category_scores_gemma":[0.0013452498,0.00007328875,0.00003154263,0.00010556859,0.00003362469,0.000095484516,0.00004890317,0.00019997617,0.000008208105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015584893,0.00028832993,0.00003026604,0.000020931893,0.000026832322,0.000025974343,0.0013732415,1.4112169e-7,0.00092734833,0.99387014,0.00021326498,0.0030676825],"study_design_scores_gemma":[0.00059374864,0.0002797936,0.00010857619,0.000029076704,0.00003463486,0.0001603482,0.0017356279,0.00003552547,0.0029699423,0.99338335,0.0005808477,0.00008850296],"about_ca_topic_score_codex":0.0000011849501,"about_ca_topic_score_gemma":2.2582296e-7,"teacher_disagreement_score":0.571997,"about_ca_system_score_codex":0.000038726503,"about_ca_system_score_gemma":0.00002013385,"threshold_uncertainty_score":0.4879996},"labels":[],"label_agreement":null},{"id":"W2021242288","doi":"10.4310/jsg.2004.v2.n2.a3","title":"Pseudoholomorphic strips in symplecticisations III: Embedding properties and compactness","year":2004,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Eidgenössische Technische Hochschule Zürich; York University; National Science Foundation","keywords":"Compact space; Embedding; Mathematics; STRIPS; Pure mathematics; Computer science; Algorithm; Artificial intelligence","score_opus":0.09054825115698611,"score_gpt":0.31767390958344166,"score_spread":0.22712565842645555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021242288","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99118036,0.0007933164,0.006340256,0.00093259214,0.0002978293,0.00016806736,0.0000016086361,0.000022397127,0.0002635544],"genre_scores_gemma":[0.99669904,0.00008584883,0.0029014691,0.00008893538,0.0001311535,0.0000039153747,4.162707e-7,0.000023742592,0.000065497035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802023,0.00012438965,0.00088796765,0.00018407394,0.00038051393,0.00040282542],"domain_scores_gemma":[0.99814457,0.00074939855,0.00053948874,0.00017941897,0.00023063454,0.00015652146],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012489252,0.00020335146,0.0006212205,0.0017075678,0.00017674793,0.0000656237,0.00021756193,0.00013389514,0.00009042352],"category_scores_gemma":[0.0030064292,0.0001632928,0.00010189364,0.0017673317,0.00016415327,0.00029561922,0.000065303815,0.0006418213,0.000005129099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010889418,0.006211051,0.3377924,0.002265739,0.0022094755,0.0017196871,0.03978975,0.013011586,0.026875524,0.5564343,0.002557732,0.010043871],"study_design_scores_gemma":[0.012038841,0.001594906,0.10076069,0.00094246166,0.00041390402,0.011764737,0.013215265,0.00035470165,0.003637155,0.85422295,0.00016538547,0.0008890239],"about_ca_topic_score_codex":0.000070698945,"about_ca_topic_score_gemma":0.00004988011,"teacher_disagreement_score":0.29778868,"about_ca_system_score_codex":0.00024430093,"about_ca_system_score_gemma":0.0002449118,"threshold_uncertainty_score":0.6658887},"labels":[],"label_agreement":null},{"id":"W2022032736","doi":"10.1142/s0218196707003330","title":"ON POSITIVE THEORIES OF GROUPS WITH REGULAR FREE LENGTH FUNCTIONS","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Function (biology); Group (periodic table); Algebra over a field; Discrete mathematics; Pure mathematics; Combinatorics","score_opus":0.010735791329896757,"score_gpt":0.2789840881832381,"score_spread":0.26824829685334134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022032736","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7293782,0.000049409104,0.26833528,0.00045541883,0.000267234,0.000045195182,0.0000052842183,0.0000059659556,0.0014580035],"genre_scores_gemma":[0.9945607,0.000008149223,0.0051240292,0.00006966938,0.00014724246,4.9478217e-7,0.0000037236457,0.00000695943,0.00007900272],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910235,0.00003307637,0.00033895203,0.00007547997,0.00037175414,0.00007840119],"domain_scores_gemma":[0.9980935,0.00083907536,0.0004148613,0.000054983422,0.0005562267,0.000041395073],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039026886,0.000077936245,0.0001535484,0.00034063056,0.000037357822,0.000017393582,0.00013258612,0.00004013735,0.00003097714],"category_scores_gemma":[0.00026741752,0.000057357112,0.00005045477,0.00012694323,0.00009789903,0.00010203968,0.000025880741,0.000116360665,0.00000120612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062191754,0.00019598957,0.001029826,0.000008856036,0.000344002,0.00004738238,0.0006950523,0.00013992864,0.000102518825,0.97925884,0.0005486938,0.017006986],"study_design_scores_gemma":[0.0012411458,0.0009353741,0.020739287,0.00008298811,0.000052343366,0.0003734501,0.0012028962,0.00007594959,0.0010701981,0.97411126,0.00004220414,0.00007288427],"about_ca_topic_score_codex":0.0000039720885,"about_ca_topic_score_gemma":0.0000068310233,"teacher_disagreement_score":0.26518252,"about_ca_system_score_codex":0.000029522444,"about_ca_system_score_gemma":0.000029205465,"threshold_uncertainty_score":0.23389551},"labels":[],"label_agreement":null},{"id":"W2022612380","doi":"10.1016/j.jalgebra.2008.03.002","title":"Invariant group orderings and Galois conjugates","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Alberta","funders":"","keywords":"Mathematics; Pure mathematics; Invariant (physics); Outer automorphism group; Automorphism; Nilpotent; Dicyclic group; Automorphism group; Quaternion group; Alternating group","score_opus":0.03630172214091948,"score_gpt":0.2620840761044392,"score_spread":0.2257823539635197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022612380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9953524,0.0007010468,0.0018699995,0.0009846096,0.00018617474,0.00005039449,8.9193395e-7,0.000015012124,0.000839466],"genre_scores_gemma":[0.98819685,0.0004226232,0.010618904,0.00023978116,0.00018526112,6.9846516e-7,2.398201e-7,0.000014791314,0.00032084913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903303,0.000040912193,0.00044178605,0.00009413547,0.00020387462,0.00018627716],"domain_scores_gemma":[0.9988974,0.0004120026,0.0003463331,0.000108265354,0.00010758638,0.00012846862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003794561,0.00011275975,0.00034211174,0.00022776383,0.00009109652,0.00001645489,0.00014300575,0.000077094985,0.00027980361],"category_scores_gemma":[0.00072562794,0.00008519619,0.000078801146,0.00021766157,0.00014032835,0.0001575677,0.000056630866,0.00022830181,0.000012515437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032693814,0.0010479658,0.054122824,0.0003385002,0.00092720956,0.0030257916,0.008945455,0.0000033239066,0.0076906886,0.8298744,0.08338136,0.010315531],"study_design_scores_gemma":[0.004533779,0.001798319,0.060794957,0.00014999129,0.00021132069,0.024204208,0.001368283,0.000048532856,0.002941926,0.8799761,0.023387121,0.0005854846],"about_ca_topic_score_codex":0.000013641092,"about_ca_topic_score_gemma":0.000003511084,"teacher_disagreement_score":0.059994243,"about_ca_system_score_codex":0.00001764107,"about_ca_system_score_gemma":0.00004613079,"threshold_uncertainty_score":0.34741998},"labels":[],"label_agreement":null},{"id":"W2022929217","doi":"10.4153/cjm-2004-056-5","title":"Equivariant Formality for Actions of Torus Groups","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Formality; Mathematics; Equivariant map; Torus; Pure mathematics; Group (periodic table); Algebra over a field; Linguistics; Geometry","score_opus":0.10611458345017914,"score_gpt":0.32632581677705447,"score_spread":0.2202112333268753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022929217","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66864485,0.00018835084,0.3261934,0.0013149624,0.00068229024,0.00031681295,0.0000773864,0.000010057593,0.002571893],"genre_scores_gemma":[0.88629603,0.000005832161,0.113375425,0.00004704831,0.0001300368,0.0000032680523,9.94532e-7,0.000017995815,0.00012337732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987146,0.000016254013,0.0007401729,0.00006674255,0.000156075,0.00030611618],"domain_scores_gemma":[0.9980512,0.00044001153,0.00063061726,0.00021600041,0.00031056086,0.0003516101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007528537,0.0001145734,0.00041378502,0.00036528002,0.00010316684,0.000016989023,0.00027300554,0.00010461732,0.00012192776],"category_scores_gemma":[0.0019295478,0.000096649965,0.00021262094,0.00024786638,0.00010467066,0.000116276584,0.000011262854,0.00015101816,0.0000040513087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053954677,0.00012275374,0.00008914735,0.00031037463,0.000114849514,0.000025776679,0.0019253141,0.00003751945,0.00008623127,0.99518365,0.0016500787,0.00044888782],"study_design_scores_gemma":[0.0009714953,0.00027610856,0.00019758054,0.00012486066,0.0001436113,0.00059062015,0.0023098758,0.000025204401,0.0011612012,0.9918792,0.002197689,0.00012253794],"about_ca_topic_score_codex":0.00036962758,"about_ca_topic_score_gemma":0.0034589819,"teacher_disagreement_score":0.21765117,"about_ca_system_score_codex":0.00016549934,"about_ca_system_score_gemma":0.0009784129,"threshold_uncertainty_score":0.39412713},"labels":[],"label_agreement":null},{"id":"W2023429362","doi":"10.1090/s0002-9947-2013-05837-0","title":"Dehn fillings of knot manifolds containing essential once-punctured tori","year":2013,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Knot (papermaking); Pure mathematics; Torus; Dehn surgery; Geometry; Composite material","score_opus":0.018416409252732687,"score_gpt":0.27564966588128936,"score_spread":0.2572332566285567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023429362","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67122084,0.000024124078,0.32607946,0.00092555716,0.00010875647,0.00039332762,0.000015606483,0.000060715756,0.0011716125],"genre_scores_gemma":[0.93927324,0.000014459961,0.059853487,0.0001247448,0.000038138125,0.00003371286,6.991119e-7,0.00002480729,0.0006366882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984328,0.00007855716,0.000611491,0.0001974605,0.0003694622,0.00031018932],"domain_scores_gemma":[0.9976605,0.0010857887,0.0005200929,0.0004958912,0.00015286467,0.00008485558],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025975064,0.00019946804,0.00067591603,0.00004166256,0.00013785106,0.000012776183,0.0004386017,0.00008979256,0.0016364407],"category_scores_gemma":[0.00020944414,0.00013041314,0.0006887042,0.0006458563,0.0009042005,0.00007991922,0.000031606243,0.00025827202,0.000023581086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003530991,0.00849003,0.0026316002,0.0055004354,0.00635527,0.000004447335,0.067592986,0.0008033276,0.09027527,0.7473096,0.029349018,0.04133488],"study_design_scores_gemma":[0.001481485,0.00074391614,0.0031105613,0.00023111214,0.0009809227,0.000050674043,0.019449143,0.005172582,0.032250106,0.9355063,0.00034934172,0.00067389663],"about_ca_topic_score_codex":0.00026781837,"about_ca_topic_score_gemma":0.000003947008,"teacher_disagreement_score":0.26805243,"about_ca_system_score_codex":0.000043544376,"about_ca_system_score_gemma":0.000051225205,"threshold_uncertainty_score":0.9992762},"labels":[],"label_agreement":null},{"id":"W2023852272","doi":"10.1007/s00208-003-0499-5","title":"The hypertree poset and the l 2 -Betti numbers of the motion group of the trivial link","year":2004,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Betti number; Partially ordered set; Group (periodic table); Link (geometry); Cohomology; Automorphism; Pure mathematics; Generator (circuit theory); Combinatorics","score_opus":0.020217722696110572,"score_gpt":0.25191745324402554,"score_spread":0.23169973054791496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023852272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9654091,0.0010118036,0.0015936071,0.024000904,0.00033734617,0.0010017977,0.000027975826,0.000031704,0.006585738],"genre_scores_gemma":[0.9970941,0.00009146735,0.0008297163,0.00019145974,0.00010461982,0.000026711896,8.743144e-7,0.00002191409,0.0016391634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983772,0.00026891622,0.00052462437,0.00017011519,0.00040927157,0.00024988668],"domain_scores_gemma":[0.9971101,0.0014203982,0.00051683025,0.0008374937,0.00008275306,0.000032409378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013417345,0.00017829848,0.00036106235,0.00004160876,0.00034770212,0.000026113377,0.00077342347,0.00011777298,0.000044005083],"category_scores_gemma":[0.0014115172,0.00006581327,0.0002631381,0.00045968834,0.0009863552,0.00006121465,0.0003065906,0.00028313702,0.000010993779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000812492,0.00018979207,0.0010024094,0.00022634384,0.00024500693,9.5066025e-7,0.0052722218,0.000010561379,0.00045197376,0.98027545,0.004369902,0.007874137],"study_design_scores_gemma":[0.0023896878,0.000068225905,0.00909585,0.00014439107,0.00021829475,0.00008080106,0.0010336717,0.00007544616,0.0035864771,0.9805348,0.0026288272,0.00014353561],"about_ca_topic_score_codex":0.00008875838,"about_ca_topic_score_gemma":0.000093037066,"teacher_disagreement_score":0.03168495,"about_ca_system_score_codex":0.0000150156675,"about_ca_system_score_gemma":0.000041955227,"threshold_uncertainty_score":0.36342672},"labels":[],"label_agreement":null},{"id":"W2024579653","doi":"10.1515/jgt-2013-0007","title":"Effective embedding of residually hyperbolic groups into direct products of extensions of centralizers","year":2013,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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; McGill University","funders":"","keywords":"Homomorphism; Embedding; Injective function; Mathematics; Finitely-generated abelian group; Group (periodic table); Injective module; Pure mathematics; Torsion (gastropod); Discrete mathematics; Computer science; Artificial intelligence","score_opus":0.020790439453377406,"score_gpt":0.30346279370596213,"score_spread":0.28267235425258475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024579653","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9917296,0.0032471789,0.002134199,0.00014520524,0.0010155359,0.00064345804,0.000018653403,0.000014925959,0.001051231],"genre_scores_gemma":[0.9822652,0.0004424167,0.016792353,0.000017547136,0.00027970044,0.0000097503225,0.0000029863024,0.000053657193,0.00013639286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958896,0.0010454012,0.0018057717,0.00030827546,0.0006207146,0.00033025866],"domain_scores_gemma":[0.99059933,0.003276086,0.0042030024,0.0006798955,0.0011085166,0.00013317299],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003631019,0.0003613243,0.001961567,0.000986685,0.000045227374,0.000010064829,0.0006840105,0.00038443095,0.00014077082],"category_scores_gemma":[0.007972015,0.0002763151,0.000572271,0.000474969,0.0004996382,0.00011497786,0.00052907766,0.000901505,0.000002278506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002110411,0.0035896858,0.0025666638,0.013753805,0.005855341,0.00012251872,0.025088264,0.00069275114,0.11407488,0.8032428,0.005618726,0.023284145],"study_design_scores_gemma":[0.0010656411,0.0008414998,0.006937127,0.0021236169,0.00089868554,0.00012227315,0.0019522489,0.000021560325,0.032107025,0.9535493,0.000067854606,0.00031311793],"about_ca_topic_score_codex":0.00006513805,"about_ca_topic_score_gemma":0.0000032608264,"teacher_disagreement_score":0.15030654,"about_ca_system_score_codex":0.0001005865,"about_ca_system_score_gemma":0.00020740055,"threshold_uncertainty_score":0.9999689},"labels":[],"label_agreement":null},{"id":"W2024987471","doi":"10.4171/cmh/179","title":"The length of the second shortest geodesic","year":2009,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Geodesic; Combinatorics; Pure mathematics; Geometry","score_opus":0.03854269635969039,"score_gpt":0.2997906929175961,"score_spread":0.2612479965579057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024987471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9295501,0.0006177348,0.0026598403,0.024133814,0.00060485647,0.0013544789,0.000025992953,0.0001271539,0.04092601],"genre_scores_gemma":[0.9908739,0.000018321494,0.0021543913,0.0018391027,0.00006353168,0.000023025528,0.0000017210883,0.000024584031,0.0050014653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799216,0.00015645535,0.0007434967,0.00022037626,0.00040814726,0.00047934605],"domain_scores_gemma":[0.99587166,0.0024497712,0.0003980513,0.0011207225,0.000080401696,0.00007940226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008048068,0.0002572566,0.0004364887,0.00007621093,0.00044435222,0.000046065623,0.0009992819,0.000098096105,0.0008102016],"category_scores_gemma":[0.0006736776,0.00013761807,0.00023187214,0.00043876204,0.00033587564,0.000058951962,0.00018742554,0.00031711,0.000045036984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001926629,0.00071630924,0.00051908224,0.00012325068,0.00018871344,0.0000033029764,0.0020431632,0.0000018433718,0.00068134663,0.92170566,0.06742697,0.006571072],"study_design_scores_gemma":[0.00060229347,0.0002200916,0.0029356512,0.00008702212,0.00015711723,0.00005024266,0.00137703,0.0001865387,0.007340197,0.969282,0.017515594,0.00024624928],"about_ca_topic_score_codex":0.00001194992,"about_ca_topic_score_gemma":0.00008746751,"teacher_disagreement_score":0.06132374,"about_ca_system_score_codex":0.00006242248,"about_ca_system_score_gemma":0.000050016664,"threshold_uncertainty_score":0.887114},"labels":[],"label_agreement":null},{"id":"W2025385167","doi":"10.4153/cmb-2010-076-4","title":"Non-Right-Orderable 3-Manifold Groups","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"National Science Foundation","keywords":"Mathematics; 3-manifold; Manifold (fluid mechanics); Pure mathematics; Combinatorics","score_opus":0.01278774299610244,"score_gpt":0.24282134734811497,"score_spread":0.23003360435201253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025385167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6554654,0.000026636142,0.0026593206,0.014063531,0.00062447175,0.0005632588,0.000020059972,0.00017308157,0.32640418],"genre_scores_gemma":[0.96712774,0.0000019994452,0.011797488,0.0012398189,0.0002906232,0.000050539256,0.0000063171415,0.0000616742,0.019423816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980173,0.000030143521,0.00045491973,0.00037402337,0.00025203565,0.00087157625],"domain_scores_gemma":[0.99756676,0.0006573383,0.00009062603,0.00066587655,0.00008897176,0.0009304197],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00057954405,0.00027628543,0.00045056044,0.00033405586,0.0002437097,0.000078402816,0.0004830278,0.00032663404,0.1391421],"category_scores_gemma":[0.0015806952,0.00023879607,0.00013701957,0.0003415912,0.0001475941,0.00003421317,0.000058241734,0.0006537547,0.027110398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000019093347,0.0000706104,0.000079384976,0.000080647034,0.000022622236,0.0000931988,0.00012842227,8.982831e-8,0.00011035977,0.88265723,0.11648247,0.0002730363],"study_design_scores_gemma":[0.0003504794,0.000042212978,0.00018786594,0.000024683011,0.00003478938,0.00015444557,0.00011449199,0.00007958217,0.00026187036,0.80185145,0.19656011,0.00033800286],"about_ca_topic_score_codex":0.00085492554,"about_ca_topic_score_gemma":0.005777919,"teacher_disagreement_score":0.3116623,"about_ca_system_score_codex":0.00006454898,"about_ca_system_score_gemma":0.00020830869,"threshold_uncertainty_score":0.97378206},"labels":[],"label_agreement":null},{"id":"W2026849456","doi":"10.1007/s00039-007-0629-4","title":"Special Cube Complexes","year":2007,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":431,"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":"Cube (algebra); Mathematics; Quasiconvex function; Sequence (biology); Combinatorics; Class (philosophy); Pure mathematics; Cube root; Special linear group; Group (periodic table); Geometry; Regular polygon; Computer science","score_opus":0.03920923245411499,"score_gpt":0.27674918705225354,"score_spread":0.23753995459813854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026849456","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5762445,0.0011936144,0.37292457,0.0005152437,0.0011115206,0.000110397596,0.000029488252,0.00014498872,0.047725733],"genre_scores_gemma":[0.98276895,0.000041486324,0.0022572752,0.00014909326,0.003181735,0.000002664534,0.00003137574,0.000011019003,0.011556381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9986758,0.000017587112,0.00033499228,0.00031044957,0.00035624806,0.00030489947],"domain_scores_gemma":[0.99857205,0.0009672492,0.00008133894,0.00015021725,0.00009482275,0.0001343281],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007671636,0.0001445321,0.00035097118,0.0040736534,0.00015389257,0.00003709694,0.00006945448,0.000095476615,0.003948192],"category_scores_gemma":[0.00040857634,0.00011629396,0.000248338,0.011182388,0.00011120286,0.000058261136,0.00006833197,0.00014763697,0.00018511065],"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":[0.00011138997,0.00035667524,0.13526031,0.00007325971,0.005478651,0.00006597493,0.00017342299,0.000045584584,0.000039219336,0.6368146,0.14567658,0.07590435],"study_design_scores_gemma":[0.0005621519,0.00012113729,0.6315883,0.0000039157558,0.0033926202,0.00006358312,0.0006201084,0.00021663828,0.000062783874,0.24352492,0.119408496,0.00043535614],"about_ca_topic_score_codex":0.00005046893,"about_ca_topic_score_gemma":0.000060147613,"teacher_disagreement_score":0.49632797,"about_ca_system_score_codex":0.00003500206,"about_ca_system_score_gemma":0.000015141796,"threshold_uncertainty_score":0.9969623},"labels":[],"label_agreement":null},{"id":"W2027599599","doi":"10.4153/cmb-2015-034-6","title":"Rotors in Khovanov Homology","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"University of Glasgow","keywords":"Khovanov homology; Mathematics; Homology (biology); Pure mathematics; Combinatorics; Algebra over a field; Genetics","score_opus":0.07722266828354352,"score_gpt":0.29760794679474945,"score_spread":0.22038527851120593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027599599","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7419206,0.00017550372,0.0024449525,0.021257667,0.0003720069,0.0007755454,0.0000151610375,0.00013388619,0.2329047],"genre_scores_gemma":[0.9792697,0.000001765789,0.009047694,0.0011391637,0.00010231507,0.0000694098,0.0000041700846,0.0000408869,0.010324885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829435,0.00011356768,0.0004352744,0.00027208406,0.00018913433,0.0006956091],"domain_scores_gemma":[0.9980583,0.0005614364,0.00006255059,0.00037003585,0.00006605226,0.00088163407],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007943053,0.00018648634,0.0004244763,0.00053856254,0.000040917577,0.00002108242,0.0003112916,0.00022903376,0.013934922],"category_scores_gemma":[0.0044732066,0.00017116261,0.00006490792,0.00046387964,0.00016969453,0.00002006994,0.000050348885,0.00027622195,0.01343784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000071710815,0.00010307398,0.0008261218,0.00005657808,0.00001522983,0.00033240722,0.00057945604,0.0000017906613,0.0000029291207,0.8702199,0.12704805,0.00080728834],"study_design_scores_gemma":[0.0006114916,0.000072682196,0.00030378584,0.000028459906,0.000011929886,0.00015448385,0.0005398915,0.000043608994,0.00001940298,0.89263994,0.105341345,0.0002329913],"about_ca_topic_score_codex":0.0021779207,"about_ca_topic_score_gemma":0.004101935,"teacher_disagreement_score":0.23734914,"about_ca_system_score_codex":0.00027763378,"about_ca_system_score_gemma":0.0003664762,"threshold_uncertainty_score":0.9873303},"labels":[],"label_agreement":null},{"id":"W2027644046","doi":"10.1016/s1631-073x(02)02583-9","title":"Groupes d'automorphismes et plongements symplectiques de boules dans les variétés rationnelles","year":2002,"lang":"fr","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal; Université de Montréal","funders":"","keywords":"Mathematics; Homotopy; Symplectic geometry; Combinatorics; Humanities; Geometry; Pure mathematics","score_opus":0.07431646667842612,"score_gpt":0.31103251207932897,"score_spread":0.23671604540090285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027644046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59801584,0.051013514,0.26859993,0.024123877,0.0021555312,0.001449796,0.0002927066,0.0012153448,0.053133436],"genre_scores_gemma":[0.8977372,0.011105248,0.05664373,0.00083957164,0.00049561774,0.00019428664,0.00007481555,0.00018239042,0.032727126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954903,0.0011563598,0.0011386365,0.0006893985,0.00046007667,0.0010651901],"domain_scores_gemma":[0.9960743,0.0020482817,0.0005861406,0.0007774538,0.00020911252,0.0003046971],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009299687,0.00073086977,0.0009695356,0.0005018039,0.0005337958,0.00030196452,0.0007312509,0.0007137921,0.017970946],"category_scores_gemma":[0.0011246859,0.00075019547,0.0003035538,0.00072252157,0.00053666777,0.00041666106,0.00033173486,0.0008624263,0.0009946774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014901862,0.0018445719,0.007947199,0.0010871197,0.00060801103,0.00016938729,0.024601264,0.00018031315,0.00079198356,0.75040585,0.19572079,0.016628632],"study_design_scores_gemma":[0.0033143074,0.0011804521,0.027354758,0.002055479,0.0010659575,0.0015372521,0.010144358,0.07382901,0.009587581,0.73299056,0.13388504,0.003055239],"about_ca_topic_score_codex":0.0006803821,"about_ca_topic_score_gemma":0.00037501572,"teacher_disagreement_score":0.29972136,"about_ca_system_score_codex":0.00035289206,"about_ca_system_score_gemma":0.000109649314,"threshold_uncertainty_score":0.99978316},"labels":[],"label_agreement":null},{"id":"W2028770755","doi":"10.1142/s0218216507005543","title":"DENSELY ORDERED BRAID SUBGROUPS","year":2007,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Braid group; Combinatorics; Commutator subgroup; Braid; Characterization (materials science); Kernel (algebra); Commutator; Group (periodic table); Pure mathematics; Normal subgroup; Discrete mathematics; Algebra over a field","score_opus":0.0362627537011171,"score_gpt":0.3215027608701178,"score_spread":0.2852400071690007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028770755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8753889,0.0022926028,0.11369444,0.001579907,0.00025614846,0.00014929773,0.0000038873964,0.000024480396,0.006610321],"genre_scores_gemma":[0.99468446,0.00017267905,0.0023909537,0.00016196545,0.00014461127,0.0000010200662,7.768731e-7,0.00001099615,0.0024325182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988238,0.00019870045,0.00056418416,0.0000903441,0.00014640046,0.00017657406],"domain_scores_gemma":[0.99597585,0.0030945817,0.0004189636,0.00013761935,0.00024988977,0.0001231074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038577863,0.000094346215,0.00027906834,0.00031320335,0.000138107,0.000019858784,0.00016354375,0.00008607286,0.00022732405],"category_scores_gemma":[0.0036225338,0.000071006776,0.000100376594,0.00034924984,0.00015020384,0.0001239709,0.000021251732,0.00022521643,0.000019269839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027649882,0.0001167975,0.00005626293,0.000016452366,0.00006269713,0.000008421757,0.0006737634,4.8530916e-7,0.0006972856,0.9945429,0.00035832924,0.0031901002],"study_design_scores_gemma":[0.0019025275,0.000093874165,0.0028494678,0.000021612319,0.000115358926,0.00044041226,0.0011320327,0.0000114939585,0.0011511572,0.9867279,0.0054487283,0.000105430096],"about_ca_topic_score_codex":5.7252976e-7,"about_ca_topic_score_gemma":0.0000024416593,"teacher_disagreement_score":0.11929557,"about_ca_system_score_codex":0.000016362706,"about_ca_system_score_gemma":0.000047343274,"threshold_uncertainty_score":0.4336773},"labels":[],"label_agreement":null},{"id":"W2029042418","doi":"10.1090/s1088-4173-2010-00217-1","title":"The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric","year":2010,"lang":"lv","type":"article","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.007125975455658436,"score_gpt":0.23817426037971598,"score_spread":0.23104828492405755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029042418","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.981047,0.0012374369,0.006232154,0.005201899,0.0014653549,0.0010270451,0.00014414827,0.00003648768,0.0036084715],"genre_scores_gemma":[0.99503016,0.0005414336,0.0013021817,0.0005888414,0.0001852508,0.000027144924,0.0000054554675,0.000049540005,0.0022700103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99590564,0.00034185112,0.0013910771,0.00038929534,0.001134292,0.0008378341],"domain_scores_gemma":[0.989331,0.0060836365,0.0021596216,0.0019377043,0.00031169908,0.0001763211],"candidate_categories":["sts"],"consensus_categories":["sts"],"category_scores_codex":[0.0033866428,0.00053873175,0.001080784,0.000108317225,0.0017586537,0.00016927549,0.0022369379,0.00034346714,0.000101826874],"category_scores_gemma":[0.003178577,0.00023443167,0.0013840825,0.0035437783,0.010359905,0.00016873793,0.0016066066,0.0019396603,0.000012966628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015546137,0.00064792315,0.005866999,0.001201004,0.0015308799,8.5209666e-7,0.003373798,0.00004206893,0.00046061247,0.9449401,0.0032218741,0.03855845],"study_design_scores_gemma":[0.0027806635,0.0014479057,0.1031287,0.00039681332,0.0038670069,0.00046128652,0.068259835,0.10930807,0.0008095475,0.69356316,0.014216201,0.001760816],"about_ca_topic_score_codex":0.00018431593,"about_ca_topic_score_gemma":0.00008263716,"teacher_disagreement_score":0.25137693,"about_ca_system_score_codex":0.00009257689,"about_ca_system_score_gemma":0.00025759274,"threshold_uncertainty_score":0.9995409},"labels":[],"label_agreement":null},{"id":"W2029056285","doi":"10.1016/j.top.2001.12.001","title":"Finite type invariants of cyclic branched covers","year":2004,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Quantum invariant; Knot (papermaking); Knot invariant; Pure mathematics; Parameterized complexity; Homology (biology); Invariant (physics); Knot complement; Signature (topology); Tricolorability; Combinatorics; Knot theory; Geometry; Mathematical physics","score_opus":0.047998065030600945,"score_gpt":0.3135518654576498,"score_spread":0.26555380042704885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029056285","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97355974,0.00012777031,0.0077147037,0.0015275944,0.00066170114,0.00013548517,0.0000070627652,0.00006465861,0.016201312],"genre_scores_gemma":[0.9953128,0.000024136576,0.0033460597,0.00036540406,0.00005999005,0.0000026750722,0.0000037754721,0.000013047129,0.00087212777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991709,0.00004889026,0.00027092145,0.00016487013,0.0000882372,0.00025616627],"domain_scores_gemma":[0.9990166,0.0004720064,0.00013321199,0.00027347822,0.000052056876,0.000052687556],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015533903,0.000104104096,0.0003181508,0.00017726426,0.000035142955,0.0000024736437,0.00017897433,0.00016585474,0.0012609744],"category_scores_gemma":[0.00128063,0.000095438685,0.000054569147,0.0004120098,0.00024083977,0.000034128978,0.00006118491,0.00012415892,0.00020143388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057329176,0.00017428146,0.0017450583,0.00003642383,0.000072084025,0.000026157417,0.0006392975,0.000068396555,0.0015531967,0.99381655,0.0010609117,0.0007502898],"study_design_scores_gemma":[0.0015604821,0.0003275566,0.002969163,0.000010090636,0.000038805974,0.00004749736,0.00020656746,0.0000068086883,0.0056087724,0.98705363,0.0020277633,0.000142834],"about_ca_topic_score_codex":0.00015944644,"about_ca_topic_score_gemma":0.00004390577,"teacher_disagreement_score":0.02175307,"about_ca_system_score_codex":0.000028852717,"about_ca_system_score_gemma":0.000089425695,"threshold_uncertainty_score":0.999652},"labels":[],"label_agreement":null},{"id":"W2029069536","doi":"10.1090/s0025-5718-03-01514-x","title":"On the unknotting number of minimal diagrams","year":2003,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Geometric and Algebraic Topology","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":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Combinatorics; Crossing number (knot theory); Discrete mathematics; Pure mathematics; Knot (papermaking)","score_opus":0.04389850629047749,"score_gpt":0.32096857795281725,"score_spread":0.27707007166233977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029069536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8768923,0.000008975818,0.10118636,0.000090802256,0.00006875981,0.00017510551,0.0000017517615,0.000019161647,0.021556756],"genre_scores_gemma":[0.92615193,8.7146174e-7,0.07367844,0.000017866374,0.000010006484,0.000005413281,0.0000010550783,0.0000130057715,0.00012137766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989718,0.000085854525,0.00046839632,0.00009188123,0.0002554433,0.00012658778],"domain_scores_gemma":[0.9953472,0.0039009983,0.00043318604,0.00018447122,0.000113119706,0.00002104498],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006490799,0.00010034438,0.00025776026,0.000072569535,0.000045947785,0.0000070119045,0.00011843569,0.00005388591,0.00020687736],"category_scores_gemma":[0.0025000088,0.000068456866,0.00008071948,0.00030453355,0.000087367865,0.000024686995,0.000019731273,0.00007955904,0.000027705688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000024985216,0.0002346333,0.0001889077,0.00016161353,0.000027719012,4.1146285e-7,0.0009919249,0.00007772745,0.000075051954,0.99700785,0.0006004253,0.0006312581],"study_design_scores_gemma":[0.00021787826,0.000059567385,0.00013794436,0.000062705505,0.000028430526,0.000009524924,0.0008448094,0.0022196956,0.0042677824,0.99206126,0.000021645234,0.00006873091],"about_ca_topic_score_codex":0.0000019024384,"about_ca_topic_score_gemma":6.743161e-7,"teacher_disagreement_score":0.049259625,"about_ca_system_score_codex":0.0000102744225,"about_ca_system_score_gemma":0.000020824009,"threshold_uncertainty_score":0.29929247},"labels":[],"label_agreement":null},{"id":"W2029410315","doi":"10.1142/9789812811752_0012","title":"A PROPORTIONAL COUNTER SOURCE TO CALIBRATE SNO BACKGROUNDS","year":2001,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Carleton University","funders":"","keywords":"Proportional counter; Computer science; Physics; Detector; Telecommunications","score_opus":0.05180980511394147,"score_gpt":0.3184525423069777,"score_spread":0.26664273719303627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029410315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79058355,0.0000092367,0.14486463,0.003877572,0.00014237106,0.00018174203,0.0000023824546,0.00015677323,0.06018175],"genre_scores_gemma":[0.8354708,0.0000021846195,0.008922331,0.0022182674,0.0001635705,0.00001867644,0.000003869651,0.000018215309,0.15318209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99909544,0.000020807696,0.00022522865,0.00019018936,0.00019925229,0.00026905813],"domain_scores_gemma":[0.9994672,0.00011954669,0.000045337514,0.00019211535,0.00005656238,0.000119221724],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00017439161,0.00010629677,0.00015680304,0.00013282255,0.000057995672,0.00002801575,0.00013017387,0.000065377004,0.009167252],"category_scores_gemma":[0.00013968925,0.000080848295,0.00005069556,0.00040522817,0.000039578463,0.000069152185,0.000065907894,0.000077674704,0.0009127577],"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":[0.00007203698,0.00042002977,0.016080948,0.000039058046,0.00008622472,0.00006629502,0.0005361585,0.000016956226,0.00032968828,0.6698891,0.30615228,0.006311248],"study_design_scores_gemma":[0.0010546523,0.00032222603,0.008079372,0.000020532574,0.000041225918,0.00042629,0.0009738025,0.0004165033,0.00050622836,0.29710135,0.690472,0.0005858213],"about_ca_topic_score_codex":0.000035361292,"about_ca_topic_score_gemma":0.00003130315,"teacher_disagreement_score":0.38431972,"about_ca_system_score_codex":0.000027221842,"about_ca_system_score_gemma":0.000035534402,"threshold_uncertainty_score":0.9998652},"labels":[],"label_agreement":null},{"id":"W2029449722","doi":"10.4171/cmh/210","title":"The non-triviality of the Grope filtrations of the knot and link concordance groups","year":2010,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Knot (papermaking); Concordance; Triviality; Quotient; Pure mathematics; Filtration (mathematics); Group (periodic table); Combinatorics","score_opus":0.023800978406208418,"score_gpt":0.28714435802572136,"score_spread":0.26334337961951293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029449722","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9763828,0.000097918404,0.0019793347,0.015747886,0.0007617093,0.0009904304,0.00003361518,0.000020804118,0.003985504],"genre_scores_gemma":[0.99641067,0.000021962389,0.0023876736,0.00043479638,0.00007775715,0.000042279073,0.0000011092206,0.000020449861,0.0006033081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982418,0.00018605834,0.0007613576,0.00018631824,0.00034665686,0.00027781838],"domain_scores_gemma":[0.99440366,0.0035143055,0.00065246416,0.0012442385,0.00012974671,0.000055586985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009988564,0.00020008704,0.000406413,0.000040253348,0.00050072663,0.000033110104,0.0009365661,0.000109651366,0.00015447375],"category_scores_gemma":[0.0017947551,0.000095220006,0.00018015451,0.00042153258,0.0012046929,0.000051920768,0.00049416383,0.00048542497,0.0000054826137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017554908,0.00044111276,0.0069309347,0.00040576432,0.00017260054,4.4831623e-7,0.004055304,0.0000010932575,0.008479515,0.96917623,0.008233899,0.0020855318],"study_design_scores_gemma":[0.0011221602,0.00014040744,0.02849459,0.0001966769,0.00033921396,0.000047625446,0.0018987698,0.0004632948,0.034138884,0.9275916,0.0052937795,0.00027299844],"about_ca_topic_score_codex":0.00012851419,"about_ca_topic_score_gemma":0.0006049365,"teacher_disagreement_score":0.041584644,"about_ca_system_score_codex":0.000019039386,"about_ca_system_score_gemma":0.00007367913,"threshold_uncertainty_score":0.44387412},"labels":[],"label_agreement":null},{"id":"W2029470207","doi":"10.4153/cmb-2010-090-x","title":"Generalized Quandle Polynomials","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Invariant (physics); Polynomial; Pure mathematics; Variable (mathematics); Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.028580970136879016,"score_gpt":0.27694785534515953,"score_spread":0.2483668852082805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029470207","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8930406,0.00003855905,0.0012686793,0.015346093,0.00048603103,0.00037810573,0.000028602424,0.000142812,0.08927051],"genre_scores_gemma":[0.9479857,0.0000024486399,0.029898575,0.0015935521,0.0003639561,0.000047324487,0.0000066977923,0.00005608435,0.020045668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983552,0.000060460134,0.00042885458,0.00028767606,0.00019119242,0.00067661924],"domain_scores_gemma":[0.9977459,0.0007108149,0.0000851122,0.0005375838,0.00006310075,0.00085749937],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00061604707,0.00021492202,0.0004251014,0.00028701389,0.00016097746,0.00005650633,0.0003652675,0.00026702913,0.124285124],"category_scores_gemma":[0.0032655708,0.00018606475,0.00013276246,0.00024158938,0.00019049492,0.000019750527,0.00004168855,0.00039701394,0.018176904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000031078835,0.00004429281,0.000058455942,0.00003480803,0.000019970541,0.000030861065,0.00009907033,7.442581e-8,0.0003611542,0.87081164,0.12785445,0.00068211835],"study_design_scores_gemma":[0.00045330456,0.00002920314,0.00012164164,0.000012052728,0.000032086056,0.00010938086,0.000070861475,0.00003153606,0.0004694316,0.6832532,0.3151309,0.0002863672],"about_ca_topic_score_codex":0.0015115419,"about_ca_topic_score_gemma":0.0042440793,"teacher_disagreement_score":0.18755838,"about_ca_system_score_codex":0.000050273116,"about_ca_system_score_gemma":0.00021183737,"threshold_uncertainty_score":0.9825876},"labels":[],"label_agreement":null},{"id":"W2029653828","doi":"10.1090/s1088-4173-2015-00273-8","title":"Conformal grafting and convergence of Fenchel-Nielsen twist coordinates","year":2015,"lang":"en","type":"preprint","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Conformal map; Infinity; Twist; Surface (topology); Moduli; Convergence (economics); Mathematics; Mathematical analysis; Simple (philosophy); GLUE; Geometry; Pure mathematics; Physics; Materials science","score_opus":0.02319493085103893,"score_gpt":0.28812880233737526,"score_spread":0.26493387148633635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029653828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98446053,0.00031291414,0.010985366,0.00048922,0.00017568505,0.00047911622,0.00021364969,0.000044496817,0.0028390319],"genre_scores_gemma":[0.98296916,0.00022303448,0.016106592,0.00013062418,0.000039237497,0.000014188772,0.000018506298,0.000029654824,0.00046897447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974115,0.00007931992,0.001121793,0.00035723473,0.0005369514,0.0004931978],"domain_scores_gemma":[0.9956903,0.0012786267,0.0018075488,0.0006547149,0.0003441573,0.00022463723],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001524324,0.00044645907,0.0015208732,0.00012342763,0.00013995965,0.000046839777,0.00076050137,0.0003112422,0.000057395908],"category_scores_gemma":[0.0015898712,0.00032025087,0.00044582176,0.0006333575,0.0035252406,0.00011090931,0.0026463985,0.0008115864,0.0000019580684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016995028,0.00058748625,0.030214705,0.013589727,0.0018244036,0.0000041741773,0.008338238,0.00013301491,0.000098530596,0.9297599,0.0017241223,0.013555739],"study_design_scores_gemma":[0.0010649207,0.0004096542,0.0040341597,0.000571052,0.0006755943,0.00011241519,0.015338311,0.10878785,0.0003475718,0.8676152,0.00015417178,0.0008890841],"about_ca_topic_score_codex":0.00012256706,"about_ca_topic_score_gemma":0.0000044046024,"teacher_disagreement_score":0.108654834,"about_ca_system_score_codex":0.000064311396,"about_ca_system_score_gemma":0.00019436842,"threshold_uncertainty_score":0.99992496},"labels":[],"label_agreement":null},{"id":"W2031064617","doi":"10.1090/s0002-9947-07-04206-7","title":"Locally quasiconvex small-cancellation groups","year":2007,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Quasiconvex function; Counterexample; Mathematics; Coxeter group; Pure mathematics; Combinatorics; Geometry; Regular polygon; Subderivative","score_opus":0.029522184776951964,"score_gpt":0.2902057994986481,"score_spread":0.26068361472169616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031064617","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31732515,0.000014440488,0.6798,0.00067493465,0.00007100496,0.0001925068,0.0000040073382,0.00006195143,0.0018560211],"genre_scores_gemma":[0.91976124,0.00001494268,0.07908423,0.00022194818,0.00004700471,0.000008632747,4.316498e-7,0.000024283332,0.0008372638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854046,0.000056897086,0.00054180645,0.00019825739,0.0003137869,0.00034879625],"domain_scores_gemma":[0.9976492,0.0013123184,0.00037385014,0.00048452485,0.00008546217,0.0000946311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077552866,0.00016957271,0.00042712328,0.000047615733,0.00017522064,0.000009482416,0.00035677626,0.00007815619,0.00036838633],"category_scores_gemma":[0.0001561619,0.000118585805,0.00054117903,0.00097021594,0.00089154224,0.000042928896,0.000020473837,0.00028142842,0.000024781317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025103634,0.0039595705,0.002459369,0.0015353276,0.0016526661,0.000004340368,0.014272285,0.0003181584,0.009856627,0.8266517,0.004207884,0.13483106],"study_design_scores_gemma":[0.0008620394,0.0003197624,0.0059168246,0.000094607974,0.000434844,0.0000509848,0.007860122,0.0023648206,0.009952429,0.9710885,0.0005795383,0.00047552373],"about_ca_topic_score_codex":0.000046967096,"about_ca_topic_score_gemma":0.000021463982,"teacher_disagreement_score":0.6024361,"about_ca_system_score_codex":0.000072177165,"about_ca_system_score_gemma":0.000043955708,"threshold_uncertainty_score":0.4835789},"labels":[],"label_agreement":null},{"id":"W2031688713","doi":"10.4153/cjm-2004-025-9","title":"Cohomology Ring of Symplectic Quotients by Circle Actions","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Cohomology ring; Symplectic geometry; Pure mathematics; Quantum cohomology; Equivariant cohomology; Cohomology; Moment map; Symplectic manifold; Fixed point; Algebra over a field; Cup product; Kernel (algebra); Quotient; De Rham cohomology; Mathematical analysis","score_opus":0.04196795352787381,"score_gpt":0.2846581528231013,"score_spread":0.2426901992952275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031688713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97185457,0.00024268281,0.024920236,0.00047961494,0.0004122331,0.00009995115,0.000018274133,0.000007749474,0.0019646846],"genre_scores_gemma":[0.98949325,0.00000861276,0.01022931,0.000049264505,0.00004949957,0.0000012329123,8.459643e-7,0.000021933916,0.0001460786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987214,0.00003248774,0.0006656773,0.00008364182,0.00017686603,0.00031992298],"domain_scores_gemma":[0.9982848,0.00033444806,0.0005946256,0.00020772341,0.00021415201,0.0003642295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038956216,0.00011452253,0.00042225822,0.0004989399,0.00009918018,0.000013948122,0.00028280675,0.00011252833,0.00019498491],"category_scores_gemma":[0.0014923397,0.00011307995,0.00012381827,0.00038621167,0.00015819875,0.000080954014,0.000013162727,0.00023943116,0.0000163894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000128805395,0.0011998535,0.0064158947,0.0011604081,0.0010039177,0.00047298687,0.012464426,0.00034344426,0.0025947716,0.9543297,0.016967159,0.0030345002],"study_design_scores_gemma":[0.0014689693,0.0004096944,0.00093247584,0.00025873742,0.0002254908,0.002521646,0.0026303174,0.000018132703,0.004173781,0.98608077,0.0010373741,0.00024259339],"about_ca_topic_score_codex":0.00055524433,"about_ca_topic_score_gemma":0.002463702,"teacher_disagreement_score":0.03175103,"about_ca_system_score_codex":0.00020129362,"about_ca_system_score_gemma":0.00072910235,"threshold_uncertainty_score":0.46112666},"labels":[],"label_agreement":null},{"id":"W2032349337","doi":"10.1142/s0218216510007760","title":"THE LINKING PROBABILITY FOR 2-COMPONENT LINKS WHICH SPAN A LATTICE TUBE","year":2010,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Lattice (music); Infinity; Exponential growth; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.039269495579023816,"score_gpt":0.31397439546654576,"score_spread":0.27470489988752195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032349337","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9533521,0.00048977695,0.036562234,0.007927381,0.0006199507,0.00041574083,0.0000088126135,0.000019239622,0.0006047515],"genre_scores_gemma":[0.9903551,0.000058744514,0.008611598,0.000064189786,0.00032177367,0.000015149078,0.0000012102014,0.0000109549155,0.00056130585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989021,0.00019047612,0.0004930455,0.000112184665,0.00012715517,0.00017503317],"domain_scores_gemma":[0.9929723,0.0057550664,0.00038911332,0.00024364288,0.00054902193,0.00009086646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004095055,0.00009443568,0.00019376157,0.00009029493,0.00048781306,0.000057474426,0.0002725924,0.00015247961,0.000032272623],"category_scores_gemma":[0.0070585916,0.00005811542,0.000093217845,0.00022293013,0.00011304096,0.00009896887,0.000026153291,0.00069243234,0.0000040779328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060190312,0.00014322005,0.00011176655,0.000040404346,0.00005167305,2.8288852e-7,0.00062640005,0.0000023694274,0.0017328646,0.99214685,0.00012512867,0.0049588312],"study_design_scores_gemma":[0.0003588773,0.00009859983,0.0021891221,0.000022493006,0.00010922081,0.000086102875,0.00044805036,0.00028245142,0.000597491,0.9820125,0.013715966,0.00007910534],"about_ca_topic_score_codex":3.580627e-7,"about_ca_topic_score_gemma":0.000012632529,"teacher_disagreement_score":0.037002962,"about_ca_system_score_codex":0.0000121992825,"about_ca_system_score_gemma":0.000092264156,"threshold_uncertainty_score":0.8450303},"labels":[],"label_agreement":null},{"id":"W2032433601","doi":"10.4153/cmb-2009-028-9","title":"Essential Surfaces in Graph Link Exteriors","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Torus; Graph; Euler characteristic; Link (geometry); Manifold (fluid mechanics); Combinatorics; Pure mathematics; Geometry","score_opus":0.01641448924359817,"score_gpt":0.2628456272390398,"score_spread":0.24643113799544164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032433601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92380804,0.0001734963,0.0016802662,0.033154033,0.00015611085,0.00042950094,0.000011750465,0.000107114385,0.040479716],"genre_scores_gemma":[0.9899936,0.000009950901,0.006064075,0.0010642215,0.0001032278,0.000011109922,0.0000035983733,0.00002252385,0.002727748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982155,0.000080191465,0.0004898675,0.00030680763,0.00020215078,0.0007055061],"domain_scores_gemma":[0.9986072,0.00042510475,0.000074197924,0.00035546813,0.000037829195,0.0005001959],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00048137052,0.00021871952,0.00043571816,0.00052691717,0.0000818798,0.000048514776,0.00031547667,0.00021401844,0.017920285],"category_scores_gemma":[0.0011620885,0.00020201661,0.00010655602,0.0005258409,0.00012623103,0.000027576576,0.000021675238,0.00028429413,0.0035173318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013784894,0.00020221541,0.00029659455,0.00012551398,0.00002541136,0.00043248985,0.0007671811,0.0000065739355,0.0001226442,0.95601934,0.034846447,0.0071417885],"study_design_scores_gemma":[0.00042792616,0.00008055919,0.0020494561,0.00007939052,0.000019248917,0.000053865086,0.00018505311,0.00006162288,0.000104319835,0.9811854,0.0154440245,0.00030916015],"about_ca_topic_score_codex":0.00069844647,"about_ca_topic_score_gemma":0.0018424769,"teacher_disagreement_score":0.066185534,"about_ca_system_score_codex":0.00009418581,"about_ca_system_score_gemma":0.00012973578,"threshold_uncertainty_score":0.99725854},"labels":[],"label_agreement":null},{"id":"W2032836325","doi":"10.1007/s10688-013-0020-1","title":"Continuity of asymptotic characteristics for random walks on hyperbolic groups","year":2013,"lang":"en","type":"article","venue":"Functional Analysis and Its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Random walk; Boundary (topology); Entropy (arrow of time); Poisson distribution; Moment (physics); Mathematical analysis; Conditional entropy; Boundary value problem; Pure mathematics; Principle of maximum entropy; Statistics","score_opus":0.024486458769511978,"score_gpt":0.26121625917405006,"score_spread":0.2367298004045381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032836325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7419125,0.000098580145,0.25540534,0.0006629533,0.000045350967,0.000812614,0.00013057655,0.000031615702,0.0009005123],"genre_scores_gemma":[0.99681395,0.000033451102,0.000844961,0.000107542444,0.0001283052,0.00057944964,0.00011174877,0.000007714666,0.0013728829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99919075,0.00002002027,0.00033064673,0.00020589046,0.00012693569,0.00012575231],"domain_scores_gemma":[0.9983446,0.0009594302,0.00019111519,0.00017353143,0.00026731,0.00006402154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001600484,0.00010063801,0.00036663367,0.00026128034,0.00012632296,0.00001601383,0.00007079624,0.00006303571,0.00058085914],"category_scores_gemma":[0.00023588484,0.000079660895,0.00017568012,0.0006183314,0.000046153473,0.00003898099,0.000020935171,0.00005886022,0.000040684925],"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":[0.000043812917,0.00044468854,0.0064741853,0.0000801206,0.0011010679,4.780977e-8,0.00006840675,0.000012733523,0.0010375149,0.97974753,0.0019159194,0.009073993],"study_design_scores_gemma":[0.002144305,0.00019255641,0.7169164,0.00001154718,0.0029749407,0.00000431968,0.00020840506,0.0064902846,0.0004619133,0.26023504,0.010008672,0.0003516447],"about_ca_topic_score_codex":0.0000153131,"about_ca_topic_score_gemma":0.000005672654,"teacher_disagreement_score":0.71951246,"about_ca_system_score_codex":0.000010888358,"about_ca_system_score_gemma":0.000013281649,"threshold_uncertainty_score":0.63600004},"labels":[],"label_agreement":null},{"id":"W2032909198","doi":"10.48550/arxiv.0903.5299","title":"Systolic inequalities and minimal hypersurfaces","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Inequality; Mathematics; Mathematical economics; Pure mathematics; Economics; Calculus (dental); Mathematical analysis; Medicine; Orthodontics","score_opus":0.13312823655241274,"score_gpt":0.33151193471479906,"score_spread":0.19838369816238632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032909198","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.991593,0.0026059872,0.00013251824,0.0009167263,0.0004246588,0.00024033726,0.000028763754,0.00016819243,0.0038898007],"genre_scores_gemma":[0.9935214,0.00028713603,0.0024726628,0.00022157194,0.0002681084,0.000020172056,0.000013581518,0.000032691485,0.0031626867],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983469,0.00012700395,0.00046318013,0.00048411122,0.00020084262,0.00037796318],"domain_scores_gemma":[0.99851686,0.000522314,0.00027247198,0.0005094065,0.000068198664,0.00011074588],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037690796,0.00034342305,0.0006987803,0.00024214921,0.00009045474,0.000041928935,0.0003040634,0.00043297044,0.00014736461],"category_scores_gemma":[0.000697551,0.00030720836,0.00011575748,0.0001519999,0.00017352852,0.000047982052,0.00048208304,0.0005244441,0.000083191684],"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":[0.00011246962,0.00067707844,0.7644482,0.005080574,0.0009387793,0.00023801123,0.011088619,0.000023276792,0.00042282263,0.18998213,0.01901982,0.007968216],"study_design_scores_gemma":[0.0015721353,0.00047524145,0.41452292,0.0007017551,0.0006105675,0.00018381518,0.005506573,0.00008409287,0.0009945524,0.5639752,0.009366992,0.0020061815],"about_ca_topic_score_codex":0.00012592002,"about_ca_topic_score_gemma":0.000015893911,"teacher_disagreement_score":0.37399307,"about_ca_system_score_codex":0.00003813882,"about_ca_system_score_gemma":0.00008072846,"threshold_uncertainty_score":0.999938},"labels":[],"label_agreement":null},{"id":"W2033033894","doi":"10.4171/cmh/107","title":"Complete square complexes","year":2007,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Fundamental group; Quotient; Torsion (gastropod); Group (periodic table); Pure mathematics; Square (algebra); Product (mathematics); Direct product; Algebra over a field; Geometry","score_opus":0.09657580622151565,"score_gpt":0.3491543642520794,"score_spread":0.2525785580305637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033033894","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60568124,0.0003816138,0.30366993,0.0064687957,0.00092698954,0.0017426809,0.00009563204,0.00089968514,0.08013342],"genre_scores_gemma":[0.9337404,0.000007891614,0.06191547,0.0025203733,0.00019951591,0.00003039806,0.00004428194,0.00008448423,0.0014572155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971368,0.000092327806,0.00096866465,0.00039499305,0.00051407586,0.00089319434],"domain_scores_gemma":[0.9956355,0.0028651457,0.00032512628,0.000803166,0.00011114711,0.0002598907],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001351357,0.0003934225,0.0007079921,0.00037431423,0.00031469873,0.000057037636,0.0005972338,0.00014849815,0.0032992815],"category_scores_gemma":[0.00055334036,0.00034708378,0.00021439462,0.0005654767,0.00027572157,0.000098577824,0.00028787338,0.0003344895,0.00059712987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042642783,0.0009341495,0.0014562961,0.0004174547,0.00020459347,0.000061657054,0.0025679283,8.602216e-7,0.0014098552,0.9407884,0.049091797,0.0030243539],"study_design_scores_gemma":[0.0017515514,0.00032189983,0.0020988332,0.00015920345,0.00019997965,0.00020371821,0.004458295,0.00016129024,0.0028226837,0.9360207,0.051062062,0.00073978613],"about_ca_topic_score_codex":0.00007856094,"about_ca_topic_score_gemma":0.00013511004,"teacher_disagreement_score":0.3280591,"about_ca_system_score_codex":0.00013915973,"about_ca_system_score_gemma":0.000026957821,"threshold_uncertainty_score":0.99989814},"labels":[],"label_agreement":null},{"id":"W2033217536","doi":"10.4171/jems/517","title":"1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs","year":2015,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":102,"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; Unicorn; Arc (geometry); Jordan curve theorem; Combinatorics; Invariant (physics); Graph; Discrete mathematics; Geometry","score_opus":0.06810713068448328,"score_gpt":0.2936322788816897,"score_spread":0.22552514819720643,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033217536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9820346,0.0004439998,0.009723256,0.0024182305,0.00021372791,0.00033331604,0.000010408601,0.000029281753,0.004793138],"genre_scores_gemma":[0.9364806,0.00014670503,0.061985783,0.0004233346,0.00021294571,0.0000025351221,3.9097768e-7,0.000051174004,0.0006965367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985077,0.00024549032,0.0005760285,0.00012725743,0.00029919343,0.00024433626],"domain_scores_gemma":[0.99786043,0.0010472748,0.0004588567,0.00020911526,0.00017923626,0.0002450628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036310568,0.00016933105,0.00044634807,0.00005403812,0.00014529405,0.00005370857,0.0003086666,0.00006941252,0.00001098117],"category_scores_gemma":[0.0025359502,0.00009426689,0.0003913159,0.00023524126,0.0003301813,0.00009869553,0.00019271765,0.0002997832,0.0000031286222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010455272,0.0006143361,0.0021892441,0.00068398897,0.0006223554,0.000013747741,0.010575777,0.0000025900465,0.00022769222,0.9133008,0.06454014,0.007124753],"study_design_scores_gemma":[0.0016142736,0.00019212405,0.0014491234,0.00007175716,0.00018295419,0.00031986798,0.0017694939,0.00015234691,0.00005803827,0.99256843,0.0014960157,0.00012558444],"about_ca_topic_score_codex":9.609936e-7,"about_ca_topic_score_gemma":4.962163e-7,"teacher_disagreement_score":0.0792676,"about_ca_system_score_codex":0.000023669416,"about_ca_system_score_gemma":0.00003393565,"threshold_uncertainty_score":0.38440922},"labels":[],"label_agreement":null},{"id":"W2033330749","doi":"10.1007/pl00000381","title":"The residual finiteness of positive one-relator groups","year":2001,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Free product; Finitely-generated abelian group; Combinatorics; Free group; Group (periodic table); Residual; Product (mathematics); Pure mathematics; Geometry; Algorithm","score_opus":0.06710084649753321,"score_gpt":0.31673584082549333,"score_spread":0.2496349943279601,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033330749","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95565146,0.0005980838,0.011788442,0.010568287,0.0003926943,0.0010044255,0.000035628225,0.000135118,0.019825833],"genre_scores_gemma":[0.9897645,0.00012740817,0.0071703317,0.00066622364,0.00012874595,0.000073896685,0.000012873569,0.000057498168,0.001998528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753356,0.00021138595,0.0009115571,0.0002802075,0.0005049603,0.00055831636],"domain_scores_gemma":[0.99284637,0.005605991,0.00046748834,0.0008010481,0.00015916974,0.00011994499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009810581,0.00028812123,0.0005918512,0.0001725085,0.0003958891,0.000046872097,0.0006598331,0.0001458134,0.0006137607],"category_scores_gemma":[0.0010992273,0.00020579097,0.00017322962,0.00054523046,0.0004213281,0.00008964613,0.00029343236,0.00030116833,0.000109513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010311046,0.000986319,0.0010702759,0.00016679263,0.00041729127,0.000020241796,0.0031095126,0.0000017057623,0.00026872684,0.9807642,0.010738667,0.0023531422],"study_design_scores_gemma":[0.0013904842,0.00040218697,0.0023924573,0.00024284239,0.0003511291,0.00010644024,0.0042087445,0.0001205016,0.004120189,0.98306,0.0032104738,0.00039457242],"about_ca_topic_score_codex":0.000075183576,"about_ca_topic_score_gemma":0.00006983782,"teacher_disagreement_score":0.034113005,"about_ca_system_score_codex":0.00008234432,"about_ca_system_score_gemma":0.00005126175,"threshold_uncertainty_score":0.8391912},"labels":[],"label_agreement":null},{"id":"W2034077639","doi":"10.1007/s00220-005-1344-3","title":"The Volume of the Moduli Space of Flat Connections on a Nonorientable 2-Manifold","year":2005,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric and Algebraic Topology","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":"Moduli space; Moduli of algebraic curves; Moduli; Volume form; Volume (thermodynamics); Space (punctuation); Mapping class group","score_opus":0.0579124815168717,"score_gpt":0.3288995454904001,"score_spread":0.27098706397352845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034077639","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5886468,0.0009900526,0.104625896,0.05031439,0.00045778023,0.0030527657,0.00008064394,0.00018061904,0.25165105],"genre_scores_gemma":[0.9798284,0.000056003348,0.01841148,0.000038528055,0.000029688545,0.00004880484,0.0000012299517,0.000015263038,0.0015705783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988117,0.00016828443,0.00051748153,0.00010913358,0.00020922003,0.00018416633],"domain_scores_gemma":[0.99386543,0.0032832022,0.00027913312,0.0024358686,0.000108560766,0.000027833374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004778808,0.00011326531,0.00027467648,0.000049926613,0.00024980036,0.000011201627,0.0012222833,0.00006274558,0.000044550405],"category_scores_gemma":[0.0012501634,0.000070695256,0.0001296735,0.0007548507,0.0005073164,0.000057313653,0.00042693818,0.00031023985,0.000045447418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003326114,0.0004954298,0.00017341693,0.000033948076,0.000022590475,2.3384917e-8,0.0006474662,0.000078830344,0.00009559128,0.9965229,0.00092416996,0.001002331],"study_design_scores_gemma":[0.00024078425,0.00003680033,0.00025794428,0.0000858456,0.000036604357,0.000002013379,0.000694883,0.010817051,0.0019856107,0.9821787,0.0035813504,0.000082418796],"about_ca_topic_score_codex":0.000012706058,"about_ca_topic_score_gemma":0.0000452236,"teacher_disagreement_score":0.39118162,"about_ca_system_score_codex":0.000055920907,"about_ca_system_score_gemma":0.000043006086,"threshold_uncertainty_score":0.2882869},"labels":[],"label_agreement":null},{"id":"W2035001592","doi":"10.1112/s002460930500456x","title":"The Tits Alternative for Cat(0) Cubical Complexes","year":2005,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Abelian group; Rank (graph theory); Combinatorics; Mathematics Subject Classification; Group (periodic table); Action (physics); Finitely-generated abelian group; Free group; Pure mathematics; Discrete mathematics; Chemistry; Physics","score_opus":0.03551737117357811,"score_gpt":0.3024055312739155,"score_spread":0.2668881601003374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035001592","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47109395,0.0014989186,0.15049884,0.3364921,0.0011236317,0.005877992,0.00017541059,0.00039115702,0.032847986],"genre_scores_gemma":[0.63852173,0.00013301463,0.3109236,0.0029292295,0.0010962947,0.00030717888,0.0000044352128,0.000116543546,0.045967992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99836904,0.000099306984,0.0005328731,0.00021135161,0.00038874804,0.00039865947],"domain_scores_gemma":[0.99364555,0.0053714383,0.00028251208,0.00050121144,0.00012768502,0.00007158382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097231264,0.00018810159,0.0003875976,0.000012540552,0.0003808812,0.000029239416,0.00076838484,0.00012634887,0.00065616134],"category_scores_gemma":[0.002114374,0.00009564095,0.00061312225,0.00014260292,0.0006051905,0.000012245567,0.00026836962,0.00018402863,0.0001248726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018614317,0.00022547467,0.000018254648,0.000138686,0.00012245425,1.14450806e-7,0.00063645066,0.000008085777,0.00010002958,0.75361073,0.24332015,0.001800951],"study_design_scores_gemma":[0.0007338706,0.00006031098,0.00006292642,0.00004646634,0.00008456271,0.000013106369,0.0003805445,0.001874006,0.0026654631,0.7172063,0.27672336,0.00014907577],"about_ca_topic_score_codex":0.000010355707,"about_ca_topic_score_gemma":0.0000040730383,"teacher_disagreement_score":0.33356288,"about_ca_system_score_codex":0.00005690855,"about_ca_system_score_gemma":0.000029338908,"threshold_uncertainty_score":0.7184506},"labels":[],"label_agreement":null},{"id":"W2035210296","doi":"10.1093/imrn/rnu025","title":"Rotor-Routing and Spanning Trees on Planar Graphs","year":2014,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Spanning tree; Riemann surface; Graph; Action (physics); Ribbon; Planar graph; Transitive relation; Planar straight-line graph","score_opus":0.15400992568681343,"score_gpt":0.4276568768471265,"score_spread":0.27364695116031307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035210296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91760397,0.000039198298,0.005074429,0.0024536066,0.00030846946,0.00033795685,0.000009945501,0.00010643424,0.07406596],"genre_scores_gemma":[0.97863436,0.0000145599715,0.019389873,0.00007408788,0.00021209054,0.00003143232,0.000003948002,0.00002785471,0.0016117706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976908,0.0001703742,0.00038225786,0.00030751227,0.0010405922,0.00040849435],"domain_scores_gemma":[0.99237084,0.0068312106,0.00016151398,0.00028001246,0.00023401772,0.00012240362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002638579,0.00016054095,0.00025865616,0.0007196281,0.00022028234,0.00017509733,0.0005117197,0.00009536209,0.00021981026],"category_scores_gemma":[0.008234289,0.00013043224,0.000059598577,0.00028378298,0.00022496031,0.00012986588,0.00016194706,0.00040258162,0.00011084428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017105458,0.00018183087,0.0015225429,0.00009009804,0.00007544939,0.000008812772,0.0011172034,0.0000103419225,0.00016195443,0.9921004,0.0012422821,0.0034719594],"study_design_scores_gemma":[0.00052970584,0.00023733468,0.0020150198,0.00025031855,0.000014495673,0.000019408446,0.0013552675,0.015940273,0.00047826502,0.9758648,0.0030995419,0.00019552714],"about_ca_topic_score_codex":0.00003505012,"about_ca_topic_score_gemma":0.000022177343,"teacher_disagreement_score":0.07245419,"about_ca_system_score_codex":0.00004518246,"about_ca_system_score_gemma":0.000021836737,"threshold_uncertainty_score":0.9857807},"labels":[],"label_agreement":null},{"id":"W2035646851","doi":"10.4153/cmb-2015-004-4","title":"Generalized Torsion in Knot Groups","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"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":"Torsion (gastropod); Knot (papermaking); Algebraic number; Trefoil knot; Knot invariant; Knot complement","score_opus":0.06095300241820316,"score_gpt":0.2842099737612116,"score_spread":0.22325697134300843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035646851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9208976,0.00015211069,0.0018798106,0.010846334,0.0002458304,0.00041314607,0.000009709238,0.00009134759,0.06546412],"genre_scores_gemma":[0.9775189,0.0000037443635,0.015382364,0.0011163788,0.000145081,0.00004117025,0.0000074186873,0.000042318356,0.0057426146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983102,0.000118896416,0.00043727644,0.0002883327,0.00023844918,0.00060681015],"domain_scores_gemma":[0.9982499,0.00032273468,0.000062389954,0.0003864993,0.00006253449,0.00091595604],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000878686,0.0001865767,0.0003990512,0.00041542412,0.000047396785,0.000031212876,0.0003110917,0.00019498267,0.012773565],"category_scores_gemma":[0.003246418,0.00016544494,0.000071643604,0.00041793982,0.00009395607,0.000024027755,0.000057298617,0.0002194474,0.008959645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007993231,0.00007577009,0.00023571459,0.00004607451,0.000008725574,0.00011889979,0.00047591413,0.0000014346674,0.0000066098996,0.8692253,0.12934397,0.00045358445],"study_design_scores_gemma":[0.0009765934,0.00005928812,0.00015774589,0.000046830333,0.000014760014,0.000060965667,0.00044758443,0.00015570955,0.000052614083,0.91966736,0.07809744,0.00026311484],"about_ca_topic_score_codex":0.0017355321,"about_ca_topic_score_gemma":0.0032563228,"teacher_disagreement_score":0.059721503,"about_ca_system_score_codex":0.00030916138,"about_ca_system_score_gemma":0.00023780584,"threshold_uncertainty_score":0.991812},"labels":[],"label_agreement":null},{"id":"W2036216905","doi":"10.1142/s0218216515500091","title":"Alexander invariants for virtual knots","year":2015,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Alexander polynomial; HOMFLY polynomial; Bracket polynomial; Knot polynomial; Quantum invariant; Jones polynomial; Skein relation; Knot theory","score_opus":0.11681554981432714,"score_gpt":0.35443105105529776,"score_spread":0.23761550124097064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036216905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6728654,0.0021347995,0.316054,0.0033210877,0.0010130397,0.00041594944,0.000033565782,0.000032776916,0.0041294047],"genre_scores_gemma":[0.9922537,0.000050189246,0.002424584,0.00014810196,0.0002284846,0.0000053943895,0.0000016001496,0.000011178421,0.0048767687],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991402,0.00014956063,0.00037396688,0.00008557939,0.000120061966,0.00013063925],"domain_scores_gemma":[0.99760985,0.00146079,0.00029470588,0.000117196236,0.0003597104,0.00015776693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018166193,0.000082272585,0.00021091035,0.00018641478,0.000096465155,0.000021883818,0.00015113961,0.000075660246,0.00010618504],"category_scores_gemma":[0.004890685,0.000062231644,0.00006621986,0.00017482653,0.000061840554,0.00016083637,0.000022389702,0.00012630038,0.000011880556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010160142,0.00013127587,0.000027619211,0.000011237389,0.00005978301,0.0000014873075,0.000821576,0.000005592535,0.00025217843,0.9876925,0.00818759,0.0027076101],"study_design_scores_gemma":[0.0013658705,0.00038260655,0.0006366359,0.000022634571,0.000120997734,0.00017606605,0.0019867725,0.00012705097,0.00043071204,0.979514,0.015126797,0.00010982436],"about_ca_topic_score_codex":2.3055277e-7,"about_ca_topic_score_gemma":5.5297824e-7,"teacher_disagreement_score":0.3193883,"about_ca_system_score_codex":0.00001799254,"about_ca_system_score_gemma":0.000121336256,"threshold_uncertainty_score":0.585496},"labels":[],"label_agreement":null},{"id":"W2036997842","doi":"10.1143/ptps.191.78","title":"Signed Unknotting Number and Knot Chirality Discrimination via Strand Passage","year":2011,"lang":"en","type":"article","venue":"Progress of Theoretical Physics Supplement","topic":"Geometric and Algebraic Topology","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 Saskatchewan","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Western Canada Research Grid; Compute Canada; National Institutes of Health; National Science Foundation","keywords":"Knot (papermaking); Crossing number (knot theory); Mathematics; Twist; Corollary; Combinatorics; Topology (electrical circuits); Geometry","score_opus":0.04227194012977395,"score_gpt":0.31654485240706554,"score_spread":0.27427291227729156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036997842","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8640252,0.000082596125,0.12300081,0.0013508581,0.00018634922,0.0011107777,0.00010475489,0.000107357024,0.010031332],"genre_scores_gemma":[0.97179574,0.0000036130864,0.028038416,0.00001562121,0.00005851066,0.00003573835,0.000018718287,0.000018897534,0.000014724362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998657,0.00011434402,0.00039172964,0.00025186496,0.00027660542,0.00030849144],"domain_scores_gemma":[0.9991517,0.00025764818,0.00017532628,0.00024235058,0.0000804112,0.000092542316],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00045626782,0.00017354682,0.00030787394,0.000032008702,0.00007064249,0.000014257963,0.00016115702,0.000053107702,0.0011209148],"category_scores_gemma":[0.00010830163,0.00013943517,0.000079974096,0.00013550994,0.0008291362,0.000081514205,0.00016467573,0.000116033705,0.000005832174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046683585,0.0005193988,0.007429108,0.00018836478,0.00005880976,0.0000023882708,0.0010743955,4.704731e-8,0.00006659345,0.97664654,0.000073985524,0.0138936965],"study_design_scores_gemma":[0.00060606847,0.00016787756,0.0010060979,0.000026467264,0.00010897633,0.0000028298302,0.00023117547,0.00010202812,0.027654154,0.96992403,0.000016625401,0.0001536941],"about_ca_topic_score_codex":0.000010513453,"about_ca_topic_score_gemma":6.9011253e-7,"teacher_disagreement_score":0.10777059,"about_ca_system_score_codex":0.000016250477,"about_ca_system_score_gemma":0.00001101096,"threshold_uncertainty_score":0.9997922},"labels":[],"label_agreement":null},{"id":"W2037008300","doi":"10.1016/j.jalgebra.2008.02.012","title":"Compatible actions and cohomology of crystallographic groups","year":2008,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Holonomy; Cohomology; Spectral sequence; Group (periodic table); Prime (order theory); Pure mathematics; String (physics); Order (exchange); Extension (predicate logic); String theory; Group cohomology; Algebra over a field; Combinatorics; Physics; Mathematical physics; Computer science; Quantum mechanics","score_opus":0.07397402516388066,"score_gpt":0.30255740983916074,"score_spread":0.22858338467528008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037008300","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99525315,0.00049258024,0.0026004072,0.000396307,0.00019589563,0.000049788323,0.0000020691302,0.0000087979,0.0010010113],"genre_scores_gemma":[0.9938319,0.00029862637,0.005589166,0.00005454772,0.00009325088,6.3104204e-7,3.6458857e-7,0.000009163999,0.00012238101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902934,0.000069059286,0.0005044253,0.000075735465,0.000172003,0.00014941458],"domain_scores_gemma":[0.9985804,0.000508578,0.0005372041,0.00012054521,0.00016552662,0.00008776865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028282506,0.00008987635,0.0004199249,0.0005039076,0.00007729456,0.0000035643611,0.0001281815,0.00008795383,0.0001872139],"category_scores_gemma":[0.0003098211,0.0000721468,0.00011899736,0.0003895762,0.00030242943,0.00009639621,0.000036108708,0.00022240421,0.0000016398434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025292637,0.0016615569,0.2610028,0.00031275442,0.0011860628,0.00055593345,0.004061621,0.000016017624,0.0092507,0.6865669,0.03264901,0.0024837372],"study_design_scores_gemma":[0.0028810687,0.0019300407,0.21207647,0.00007082659,0.00026687892,0.01269388,0.0011619047,0.00003022347,0.001599581,0.76369417,0.0033106008,0.00028432423],"about_ca_topic_score_codex":0.000009682268,"about_ca_topic_score_gemma":0.00000583515,"teacher_disagreement_score":0.07712733,"about_ca_system_score_codex":0.0000107928445,"about_ca_system_score_gemma":0.000055704902,"threshold_uncertainty_score":0.2942061},"labels":[],"label_agreement":null},{"id":"W2037162327","doi":"10.1007/s11856-015-1177-5","title":"Cocompactly cubulated graph manifolds","year":2015,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Graph; Manifold (fluid mechanics); Fundamental group; Combinatorics; Pure mathematics; Cube (algebra); Algebra over a field; Discrete mathematics","score_opus":0.09879147803957679,"score_gpt":0.3334637838834765,"score_spread":0.2346723058438997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037162327","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95139664,0.0006506993,0.03676942,0.0006548337,0.0006872347,0.0001745337,0.000004258114,0.0000635855,0.009598786],"genre_scores_gemma":[0.8755049,0.000026392596,0.12334651,0.0001383163,0.00024963773,0.0000012893123,7.183864e-7,0.00004379292,0.00068844226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977398,0.00008584274,0.0010639692,0.000109166314,0.0006731964,0.0003280251],"domain_scores_gemma":[0.99709594,0.0006258856,0.0010347086,0.00033042073,0.0005704752,0.00034257516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015779542,0.00021983814,0.0006828551,0.0004952166,0.000048107402,0.000044425225,0.00047864692,0.00015241306,0.00010026095],"category_scores_gemma":[0.0016919042,0.00016402248,0.00023530735,0.000551689,0.000094350435,0.00012840438,0.0000681621,0.00033991612,0.00008447349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000817328,0.0023831818,0.0027031866,0.0004265886,0.0007602061,0.00082827744,0.00819786,0.000057865484,0.00040825323,0.905557,0.07656337,0.0020324814],"study_design_scores_gemma":[0.0016779954,0.00042267714,0.0001751567,0.00012845936,0.00019459495,0.0025239391,0.004543936,0.0001506209,0.0005082223,0.98691237,0.002530002,0.00023205363],"about_ca_topic_score_codex":0.000007384256,"about_ca_topic_score_gemma":0.0000050260455,"teacher_disagreement_score":0.08657709,"about_ca_system_score_codex":0.00006883506,"about_ca_system_score_gemma":0.00014883126,"threshold_uncertainty_score":0.66886425},"labels":[],"label_agreement":null},{"id":"W2037482458","doi":"10.1090/s0002-9947-08-04717-x","title":"Non-isotopic symplectic surfaces in product 4-manifolds","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Symplectic geometry; Product (mathematics); Pure mathematics; Geometry","score_opus":0.02868705421951902,"score_gpt":0.2829857169757569,"score_spread":0.2542986627562379,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037482458","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9676845,0.00002931774,0.029759489,0.0010406537,0.000062990046,0.00036217965,0.000004264673,0.000049527825,0.0010070491],"genre_scores_gemma":[0.9815488,0.00005372669,0.017187197,0.00007989007,0.000021100193,0.000032214823,2.2686163e-7,0.000021023485,0.0010558264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862146,0.00006894622,0.00046311953,0.00023247182,0.00029361952,0.0003203737],"domain_scores_gemma":[0.9985426,0.000594125,0.00023116593,0.0005257222,0.000050034345,0.00005632993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002951235,0.0001704889,0.000535812,0.000061113846,0.00017580485,0.0000053567614,0.0003803528,0.000047532016,0.00024988264],"category_scores_gemma":[0.00016276004,0.00011769857,0.00038684232,0.0013447684,0.0008889578,0.00006212167,0.000023158058,0.00028593387,0.000019900272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005299487,0.038544238,0.2576994,0.011991848,0.006374641,0.00009108998,0.18084435,0.00547726,0.03907469,0.3875619,0.037971325,0.033839326],"study_design_scores_gemma":[0.0022722837,0.0006555035,0.1461798,0.00026334554,0.00048421856,0.0004590718,0.007636514,0.0062498185,0.014495867,0.81986624,0.00031201122,0.001125351],"about_ca_topic_score_codex":0.00014576768,"about_ca_topic_score_gemma":0.00001822248,"teacher_disagreement_score":0.43230435,"about_ca_system_score_codex":0.00006308779,"about_ca_system_score_gemma":0.000073591626,"threshold_uncertainty_score":0.47996083},"labels":[],"label_agreement":null},{"id":"W2038089316","doi":"10.1515/jgt-2012-0005","title":"On generators of crystallographic groups and actions on flat orbifolds","year":2012,"lang":"en","type":"article","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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; Pure mathematics; Group (periodic table); Crystallography; Combinatorics; Chemistry; Physics; Quantum mechanics","score_opus":0.035646658098785845,"score_gpt":0.2935982897488051,"score_spread":0.2579516316500192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038089316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99403596,0.00050174963,0.00306073,0.00009373856,0.0005081796,0.00005239849,0.000002577762,0.000008767494,0.0017358845],"genre_scores_gemma":[0.9982582,0.000088484645,0.0011138804,0.0001280062,0.000290025,0.000001054836,3.055539e-7,0.00001609244,0.00010398541],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989482,0.00019113919,0.00037802936,0.000070083486,0.00021525664,0.00019729939],"domain_scores_gemma":[0.99805355,0.0011925375,0.00041356593,0.00015329056,0.000056097215,0.00013095418],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012846953,0.0001177277,0.00030231467,0.0005561621,0.000068252106,0.000007502298,0.00011328944,0.000106038846,0.00019140232],"category_scores_gemma":[0.0004732737,0.0000832063,0.0001434547,0.000283327,0.00012225982,0.00011967935,0.000025952266,0.00026546913,0.000003416414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013647162,0.00029585912,0.0022418213,0.000028850776,0.00013254162,0.00000567893,0.00036896858,0.0000017453152,0.0026226814,0.99122745,0.0009387274,0.0019992178],"study_design_scores_gemma":[0.00086753303,0.001242272,0.011119134,0.000071261915,0.00015726147,0.00025597066,0.0008915556,0.0000027313752,0.0016234476,0.9826094,0.0010112688,0.00014817614],"about_ca_topic_score_codex":8.576621e-7,"about_ca_topic_score_gemma":8.723608e-7,"teacher_disagreement_score":0.008877313,"about_ca_system_score_codex":0.000022573477,"about_ca_system_score_gemma":0.000012267354,"threshold_uncertainty_score":0.33930543},"labels":[],"label_agreement":null},{"id":"W2038697257","doi":"10.1070/sm2008v199n04abeh003930","title":"The test rank of a soluble product of free Abelian groups","year":2008,"lang":"en","type":"article","venue":"Sbornik Mathematics","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Mathematics; Abelian group; Rank of an abelian group; Rank (graph theory); Test (biology); Elementary abelian group; Pure mathematics; Product (mathematics); Combinatorics; Algebra over a field; Botany; Geometry","score_opus":0.03802229260518577,"score_gpt":0.2665704740928585,"score_spread":0.22854818148767272,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038697257","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9613203,0.0015524864,0.009132914,0.0017906853,0.00076470367,0.0014358126,0.00009045994,0.00021099376,0.023701675],"genre_scores_gemma":[0.93946207,0.00023142999,0.056300417,0.000020293004,0.00011192712,0.000027731234,0.0000019915728,0.00004953207,0.00379459],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980575,0.00004687975,0.0008750918,0.00020189503,0.00045399892,0.0003646252],"domain_scores_gemma":[0.9940441,0.0037705777,0.0006318044,0.0012381492,0.00024954544,0.00006580101],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0007886413,0.00020554135,0.00057401677,0.0001527955,0.00019399954,0.000007498263,0.00072231324,0.00009070476,0.000104242674],"category_scores_gemma":[0.010486143,0.00013504871,0.00013748843,0.0006735137,0.00055507285,0.000051903648,0.00019860627,0.00018156743,0.00003193343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043994823,0.0034658674,0.004081077,0.0031214748,0.00042936794,0.000041013973,0.0125492355,0.0000075087223,0.0064238138,0.84587973,0.1216221,0.0023348182],"study_design_scores_gemma":[0.0009712079,0.00029860894,0.00074386684,0.00011442501,0.00012665756,0.0001932139,0.0010427812,0.00017550084,0.013777093,0.98033506,0.0019643453,0.00025724986],"about_ca_topic_score_codex":0.000015772552,"about_ca_topic_score_gemma":0.000018534445,"teacher_disagreement_score":0.13445532,"about_ca_system_score_codex":0.000018239514,"about_ca_system_score_gemma":0.00010528624,"threshold_uncertainty_score":0.9978489},"labels":[],"label_agreement":null},{"id":"W2039398864","doi":"10.1214/ecp.v20-3774","title":"Non-Liouville groups with return probability exponent at most 1/2","year":2015,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Geometric and Algebraic Topology","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":"Exponent; Random walk; Constant (computer programming); Probability measure; Property (philosophy); Group (periodic table)","score_opus":0.07312041177644216,"score_gpt":0.313518715166491,"score_spread":0.24039830339004883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039398864","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9812045,0.0006996489,0.0009744883,0.0040866267,0.000056540805,0.001703358,0.000006865767,0.00016940938,0.01109857],"genre_scores_gemma":[0.98211277,0.000070527596,0.01657604,0.00006462436,0.000020482586,0.00058540795,0.000038129187,0.000030465766,0.00050153735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99700063,0.00053336914,0.0007283661,0.0005761757,0.00036993992,0.0007915051],"domain_scores_gemma":[0.9940303,0.0008043256,0.0002522546,0.004434721,0.0003011554,0.00017725518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028740575,0.00028929889,0.00048714224,0.00018447895,0.00024620516,0.000025363064,0.0014415414,0.00018040421,0.000116328694],"category_scores_gemma":[0.0016154308,0.0002437634,0.00007763778,0.001571726,0.00067678554,0.00016523682,0.0010214985,0.0008379019,0.000036105743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005652289,0.0059577404,0.17731789,0.00025467947,0.00016769157,0.000004830089,0.006068244,0.00010557476,0.000111858586,0.7996792,0.0046063177,0.005160699],"study_design_scores_gemma":[0.0015913356,0.0004990571,0.007997136,0.00003259918,0.000037437243,0.000043095293,0.00035622687,0.00074332225,0.00018236971,0.98107266,0.0070741475,0.0003706188],"about_ca_topic_score_codex":0.0003097383,"about_ca_topic_score_gemma":0.0114251375,"teacher_disagreement_score":0.18139341,"about_ca_system_score_codex":0.0024266944,"about_ca_system_score_gemma":0.00077099045,"threshold_uncertainty_score":0.9940383},"labels":[],"label_agreement":null},{"id":"W2039977993","doi":"10.1142/s0218196715400056","title":"SLP compression for solutions of equations with constraints in free and hyperbolic groups","year":2015,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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; Free product; Upper and lower bounds; Abelian group; Group (periodic table); Pure mathematics; Mathematical analysis","score_opus":0.0804978267556539,"score_gpt":0.33485256570516164,"score_spread":0.2543547389495078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039977993","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6176956,0.00030487202,0.38021377,0.0013918274,0.00019486109,0.00008382903,0.000016131644,0.0000037422194,0.00009533992],"genre_scores_gemma":[0.978274,0.00001779982,0.02158084,0.000031455565,0.0000710314,0.0000024670683,0.000004647305,0.0000049243176,0.000012852792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927294,0.00003729584,0.00033247072,0.000067534864,0.00021294708,0.00007680208],"domain_scores_gemma":[0.99856925,0.00055712584,0.0002975435,0.000036189893,0.00048367117,0.000056220488],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003420358,0.000059953196,0.00016086754,0.000306765,0.000022237902,0.000013556266,0.000095527,0.000039032857,0.0000050755166],"category_scores_gemma":[0.00047720456,0.000048886846,0.000024639678,0.0000997959,0.0001314187,0.00015766668,0.0000368548,0.000072297786,1.7684897e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041103392,0.00050373876,0.0054755323,0.0000633474,0.00026346275,0.000022839971,0.003213652,0.0011742499,0.00033733578,0.90878356,0.0020273644,0.0777239],"study_design_scores_gemma":[0.004510581,0.0004641082,0.008175725,0.00016342037,0.000045779165,0.00036388918,0.0015651366,0.008322462,0.00010360567,0.9761145,0.00008212097,0.00008863189],"about_ca_topic_score_codex":0.000012690801,"about_ca_topic_score_gemma":0.000016821941,"teacher_disagreement_score":0.36057836,"about_ca_system_score_codex":0.000024010633,"about_ca_system_score_gemma":0.00007301236,"threshold_uncertainty_score":0.19935477},"labels":[],"label_agreement":null},{"id":"W2040306612","doi":"10.1353/ajm.2012.0013","title":"On character varieties, sets of discrete characters, and nonzero degree maps","year":2012,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Knot (papermaking); Combinatorics; Homotopy; Degree (music); Manifold (fluid mechanics); Pure mathematics; Dehn surgery","score_opus":0.03870671197700612,"score_gpt":0.29489254574835816,"score_spread":0.25618583377135207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040306612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922942,0.00013428874,0.006062359,0.00046523896,0.00022728034,0.000103745224,0.000015870588,0.000011337108,0.00068566407],"genre_scores_gemma":[0.9637692,0.000087370994,0.035674058,0.00015855368,0.00013764275,0.0000017377561,0.0000012090729,0.000032737564,0.00013748537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982667,0.00009272724,0.0007962847,0.00009566985,0.00040364484,0.00034496878],"domain_scores_gemma":[0.9963465,0.0013746832,0.0016542267,0.0002816294,0.00012946098,0.00021351868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093882286,0.00021033039,0.00080308976,0.0002946743,0.000043867385,0.000014740717,0.00023189618,0.00006270928,0.00008634339],"category_scores_gemma":[0.00083088677,0.00015142474,0.00014209656,0.00027527966,0.00034244405,0.00017460105,0.00006785007,0.00030356282,0.000013130681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000317704,0.0034575583,0.014285953,0.0012416918,0.0014391232,0.000078318924,0.027397174,0.0000013276081,0.0016314415,0.8734771,0.0075279656,0.06914463],"study_design_scores_gemma":[0.0047529275,0.008504683,0.08927074,0.0014591747,0.0017066274,0.005087693,0.020945659,0.00011109547,0.004996056,0.8567867,0.004463147,0.001915447],"about_ca_topic_score_codex":0.000004516764,"about_ca_topic_score_gemma":4.1808417e-7,"teacher_disagreement_score":0.07498479,"about_ca_system_score_codex":0.000029513689,"about_ca_system_score_gemma":0.000038061444,"threshold_uncertainty_score":0.6174922},"labels":[],"label_agreement":null},{"id":"W204055395","doi":"10.1090/conm/314/05426","title":"Algorithms for essential surfaces in 3-manifolds","year":2002,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":30,"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","score_opus":0.06289122490730989,"score_gpt":0.3247982106437904,"score_spread":0.2619069857364805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W204055395","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0009740635,0.0023314783,0.23247452,0.001151519,0.0006484685,0.006119148,0.00065055944,0.0017028938,0.7539473],"genre_scores_gemma":[0.006048283,0.00032415616,0.47574285,0.00027800468,0.00071744097,0.0007255063,0.0001005415,0.0018236969,0.5142395],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947368,0.00016042918,0.0018865622,0.0011469184,0.00088451855,0.0011847849],"domain_scores_gemma":[0.99304,0.0033465803,0.0018016264,0.0013484616,0.000112350855,0.0003509613],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012092651,0.001207094,0.003247646,0.00046800327,0.00012914183,0.00011362697,0.0010919345,0.00085294043,0.00412566],"category_scores_gemma":[0.0012869322,0.0010604794,0.0012130494,0.0011878128,0.0012018367,0.00011286346,0.00031689036,0.0007434063,0.00034743635],"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":[0.000010049484,0.0018069273,0.000030179062,0.00437116,0.00055769517,0.00002913974,0.002137749,0.0000011336849,0.000010549867,0.097844474,0.8924217,0.0007792176],"study_design_scores_gemma":[0.0036571394,0.0005684624,0.000009427163,0.002108308,0.0005282713,0.00006902824,0.0072427765,0.01836487,0.000059326372,0.7828692,0.18147583,0.0030473603],"about_ca_topic_score_codex":0.00011575443,"about_ca_topic_score_gemma":0.000021109232,"teacher_disagreement_score":0.7109459,"about_ca_system_score_codex":0.00017212254,"about_ca_system_score_gemma":0.00018259868,"threshold_uncertainty_score":0.99918455},"labels":[],"label_agreement":null},{"id":"W2042115984","doi":"10.1007/s004540010075","title":"The screensaver map: Dynamics on elliptic curves arising from polygonal folding","year":2001,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Quadrilateral; Mathematics; Folding (DSP implementation); Diagonal; Combinatorics; Rotation (mathematics); Elliptic curve; Space (punctuation); Translation (biology); Mathematical analysis; Geometry; Pure mathematics; Physics; Computer science","score_opus":0.02905924461556617,"score_gpt":0.30280786580957436,"score_spread":0.27374862119400817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042115984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77120644,0.0020704737,0.21430019,0.005865227,0.0008535811,0.00033526102,0.00016873356,0.00018379276,0.005016304],"genre_scores_gemma":[0.989422,0.00010574384,0.0073497267,0.0010049479,0.00034256905,0.000010049263,0.00029963022,0.00004294941,0.0014223898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977443,0.0001151952,0.000499456,0.0004138531,0.00073765824,0.00048953097],"domain_scores_gemma":[0.9939945,0.0051868963,0.0002419235,0.0003333905,0.00011348807,0.00012983986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043591883,0.00027550454,0.00031724462,0.00031159946,0.00051947683,0.00011249725,0.00040222026,0.00011507365,0.0003930823],"category_scores_gemma":[0.0007527455,0.00020982325,0.00018763151,0.00089054526,0.00019003569,0.0001189921,0.00013705024,0.00036645486,0.00021670743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014401734,0.00024341444,0.021598808,0.00008434065,0.000506847,0.0000782571,0.00018226173,0.006997564,0.000010302802,0.9223326,0.012318994,0.035502616],"study_design_scores_gemma":[0.00083625515,0.00014213954,0.05536451,0.000275726,0.00011398071,0.00004884529,0.00073236565,0.0846348,0.000017039498,0.8534966,0.0037918782,0.0005458639],"about_ca_topic_score_codex":0.00006625322,"about_ca_topic_score_gemma":0.000021567606,"teacher_disagreement_score":0.21821554,"about_ca_system_score_codex":0.00013251725,"about_ca_system_score_gemma":0.0000635214,"threshold_uncertainty_score":0.8556344},"labels":[],"label_agreement":null},{"id":"W2042450930","doi":"10.2140/gt.2009.13.1177","title":"The homotopy type of the space of symplectic balls in rational ruled 4–manifolds","year":2009,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; Université de Montréal","funders":"Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Mathematics; Symplectic geometry; Homotopy; Cohomology; Type (biology); Embedding; Omega; Ball (mathematics); Pure mathematics; Combinatorics; Mathematical analysis; Physics","score_opus":0.026455153481918955,"score_gpt":0.3074015807138547,"score_spread":0.28094642723193575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042450930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98968077,0.0005101098,0.00028841544,0.0052713654,0.00073295063,0.0002937252,0.0000046815644,0.000015002546,0.0032029608],"genre_scores_gemma":[0.9980284,0.00005610777,0.00054802716,0.0001452002,0.00007191959,0.000006114779,0.0000015539288,0.000008378012,0.0011343167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855447,0.00020475367,0.000495805,0.00018684374,0.00021961359,0.000338504],"domain_scores_gemma":[0.99722594,0.001824695,0.00029415305,0.0004888059,0.00013371168,0.000032710388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006342976,0.00013413385,0.00037184134,0.0003047995,0.000102504055,0.0000063101443,0.0004781107,0.00016768738,0.00038876853],"category_scores_gemma":[0.002586722,0.00008277951,0.000109186796,0.0017171458,0.0003481965,0.00003255256,0.000095730524,0.00022303409,0.000013876564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005141495,0.00019734171,0.019784,0.000023553073,0.000047606653,0.0000031685317,0.00022028893,0.0000152382845,0.0017077329,0.97481865,0.0016852454,0.0014457369],"study_design_scores_gemma":[0.0008103026,0.0004929569,0.24194574,0.00001889081,0.00005020642,0.0000640664,0.0003562411,0.00004790753,0.0043130782,0.74942946,0.002320897,0.00015023476],"about_ca_topic_score_codex":0.00006722084,"about_ca_topic_score_gemma":0.00014331489,"teacher_disagreement_score":0.2253892,"about_ca_system_score_codex":0.000043554155,"about_ca_system_score_gemma":0.00012787043,"threshold_uncertainty_score":0.4256743},"labels":[],"label_agreement":null},{"id":"W2043323943","doi":"10.1016/j.topol.2004.05.004","title":"Constraints on Alexander polynomials of certain two-component links","year":2004,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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; Component (thermodynamics); Combinatorics; Pure mathematics; Algebra over a field","score_opus":0.03903245477655125,"score_gpt":0.32434201596090356,"score_spread":0.2853095611843523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043323943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93372506,0.00050318515,0.027454395,0.008760705,0.000112653215,0.00087281637,0.000052400097,0.00009149304,0.028427314],"genre_scores_gemma":[0.9971259,0.00004758578,0.0016731266,0.00039697517,0.00006917494,0.00007968089,0.0000075403414,0.000008804411,0.0005912065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922484,0.000035550383,0.00028085717,0.00020790099,0.00006351743,0.000187359],"domain_scores_gemma":[0.99908394,0.00046181324,0.00012669094,0.00021448915,0.000043485023,0.00006957288],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001590596,0.00010950965,0.0002506742,0.00013942094,0.000116181254,0.000003400441,0.00011812418,0.00019396438,0.0007011251],"category_scores_gemma":[0.00010907938,0.00009662454,0.00004184605,0.00015805244,0.00040206246,0.000019647807,0.00003757683,0.00019522749,0.000058543657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010017835,0.00019228614,0.00009042984,0.00001797992,0.000032860793,8.8579975e-7,0.00015388512,0.000010529593,0.0012248682,0.99332035,0.00017380534,0.004772132],"study_design_scores_gemma":[0.0025278525,0.0002677384,0.0033245378,0.000022706747,0.00008876218,0.000097159646,0.0005084699,0.000016699369,0.016175332,0.97157955,0.0051186564,0.00027253942],"about_ca_topic_score_codex":0.000028079887,"about_ca_topic_score_gemma":0.000010697048,"teacher_disagreement_score":0.063400865,"about_ca_system_score_codex":0.000017289185,"about_ca_system_score_gemma":0.000044425185,"threshold_uncertainty_score":0.7676828},"labels":[],"label_agreement":null},{"id":"W2043834059","doi":"10.1016/s0166-8641(01)00278-4","title":"On the local structure of SL(2,C)-character varieties at reducible characters","year":2002,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Character (mathematics); Pure mathematics; Fibered knot; Euclidean geometry; Smoothness; Variety (cybernetics); Group (periodic table); Yield (engineering); Combinatorics; Mathematical analysis; Geometry","score_opus":0.03441476350034642,"score_gpt":0.2620366139307611,"score_spread":0.2276218504304147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043834059","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.980724,0.0003624554,0.0016418397,0.011785765,0.000089142704,0.00040377743,0.000044173576,0.000038864302,0.0049099755],"genre_scores_gemma":[0.9946891,0.000089856636,0.00010056556,0.0005873562,0.000055783057,0.000045131463,0.000006680033,0.000008816738,0.0044166823],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933,0.000046043413,0.00019522876,0.00018989676,0.00007153533,0.00016732556],"domain_scores_gemma":[0.9987526,0.0007438061,0.000121398705,0.00030160672,0.00004045593,0.00004012618],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007867974,0.00010454154,0.00017908521,0.00007986213,0.00022041184,0.000004433647,0.000150343,0.0001428084,0.003391616],"category_scores_gemma":[0.00010825455,0.00006964912,0.00003454118,0.00018236187,0.0003894209,0.000027128264,0.00006234611,0.00016997181,0.000080519516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007243254,0.00005555871,0.000067655594,0.000016260345,0.000027586711,2.7681534e-7,0.00040317766,5.138997e-7,0.0011432063,0.99342775,0.003679848,0.0011709135],"study_design_scores_gemma":[0.0003706078,0.000161168,0.004088554,0.00000778347,0.000081999446,0.00008090245,0.00050231925,0.00014022694,0.011763915,0.9564068,0.026182968,0.00021275796],"about_ca_topic_score_codex":0.00000465575,"about_ca_topic_score_gemma":0.0000047636577,"teacher_disagreement_score":0.037020963,"about_ca_system_score_codex":0.000013335811,"about_ca_system_score_gemma":0.000006078807,"threshold_uncertainty_score":0.99751943},"labels":[],"label_agreement":null},{"id":"W2043939843","doi":"10.1016/j.jalgebra.2009.05.015","title":"Outer automorphism groups of Seifert 3-manifold groups over non-orientable surfaces","year":2009,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Fibered knot; Mathematics; Automorphism; Conjecture; Pure mathematics; Outer automorphism group; 3-manifold; Group (periodic table); Seifert surface; Automorphism group; Combinatorics; Knot (papermaking); Chemistry; Composite material","score_opus":0.01875704717482371,"score_gpt":0.2778323082748966,"score_spread":0.25907526110007284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2043939843","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9925203,0.00040540993,0.0028885144,0.0009261425,0.0007888812,0.00012752958,0.0000051930556,0.000034415232,0.0023036653],"genre_scores_gemma":[0.9926724,0.000068489826,0.0056206095,0.0003945142,0.00035664072,7.029272e-7,9.914171e-7,0.000030103305,0.00085559103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765503,0.000070027556,0.0010797622,0.00018407777,0.00060842256,0.00040269902],"domain_scores_gemma":[0.99785745,0.0003646274,0.0010238565,0.00032047828,0.0002539669,0.00017962196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081779325,0.00024341351,0.00078896823,0.00044764747,0.00006932418,0.000033467284,0.0004353103,0.00018631085,0.0007944726],"category_scores_gemma":[0.0002953822,0.00018964375,0.00031873456,0.0005279089,0.00007020929,0.00037741108,0.000063074156,0.0004002942,0.000032323853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005828417,0.0038342562,0.024113758,0.00040113975,0.0012763069,0.0013226963,0.005552562,0.00009019166,0.013777659,0.7203442,0.2217651,0.0069392803],"study_design_scores_gemma":[0.0054359194,0.0034620096,0.14964847,0.00033196723,0.00053208205,0.00183121,0.0013175622,0.00033537686,0.010965516,0.8190813,0.006243121,0.00081546936],"about_ca_topic_score_codex":0.000013927044,"about_ca_topic_score_gemma":0.000003572429,"teacher_disagreement_score":0.21552198,"about_ca_system_score_codex":0.00006872099,"about_ca_system_score_gemma":0.000091483606,"threshold_uncertainty_score":0.86989176},"labels":[],"label_agreement":null},{"id":"W2044220649","doi":"10.4153/cmb-2005-003-6","title":"Non-Left-Orderable 3-Manifold Groups","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":45,"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; Knot (papermaking); 3-manifold; Combinatorics; Fibonacci number; Pure mathematics; Manifold (fluid mechanics); Torsion (gastropod)","score_opus":0.017701928829494368,"score_gpt":0.24875175810256847,"score_spread":0.2310498292730741,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044220649","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40580356,0.00022195283,0.009692357,0.053563725,0.0003077579,0.0009440258,0.000031972875,0.00030897497,0.5291257],"genre_scores_gemma":[0.9485347,0.0000071630557,0.016088238,0.0027049445,0.00036170517,0.00002962465,0.000006232179,0.00006365536,0.032203693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979061,0.00004082908,0.00050794036,0.00036591914,0.00026236207,0.0009168614],"domain_scores_gemma":[0.9979069,0.0005446948,0.00008857715,0.0005437307,0.00007410696,0.0008419734],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00052170444,0.00027855072,0.00046655184,0.00033715158,0.00020805445,0.00006642504,0.00041577048,0.00023806495,0.10595152],"category_scores_gemma":[0.00104619,0.00025577738,0.0001397054,0.00026333224,0.0001006456,0.0000439182,0.000057592544,0.00032871825,0.042789698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030851957,0.00010593264,0.00008024632,0.00010284527,0.000035525733,0.000052178544,0.00033430007,0.0000022144648,0.000012240396,0.7450676,0.25287345,0.0013303595],"study_design_scores_gemma":[0.0005503595,0.000063596046,0.00015859146,0.00005985439,0.00005071707,0.00018128671,0.00027996508,0.00036329436,0.00015116099,0.57511556,0.4225608,0.00046479207],"about_ca_topic_score_codex":0.0004570485,"about_ca_topic_score_gemma":0.0028815325,"teacher_disagreement_score":0.5427312,"about_ca_system_score_codex":0.00021320871,"about_ca_system_score_gemma":0.00017589795,"threshold_uncertainty_score":0.99998945},"labels":[],"label_agreement":null},{"id":"W2044952079","doi":"10.48550/arxiv.0903.2096","title":"On Systems of Equations over Free Products of Groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Decidability; Mathematics; Free product; Homomorphism; Noetherian; Finitely generated group; Product (mathematics); Set (abstract data type); Algebraic number; Group (periodic table); Pure mathematics; Algebra over a field; Finitely-generated abelian group; Solution set; Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.09425096376470869,"score_gpt":0.31144384732638786,"score_spread":0.21719288356167915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044952079","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918798,0.00047071732,0.0027266527,0.0003257539,0.0008468841,0.00058481685,0.00006306555,0.000055578712,0.0030467382],"genre_scores_gemma":[0.9975975,0.000027300604,0.00089096604,0.000031123574,0.00021953462,0.000025811152,0.000024062689,0.000026899814,0.001156811],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821705,0.000112270725,0.00071507436,0.00039108493,0.00034015317,0.00022437784],"domain_scores_gemma":[0.9967513,0.0007505537,0.0007868733,0.0014289716,0.00023495745,0.00004732641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000462126,0.00023621909,0.0007042739,0.00036561862,0.00003102527,0.0000069003668,0.0005268269,0.00032347944,0.00009871223],"category_scores_gemma":[0.0041856486,0.00020950704,0.00014206278,0.00037739298,0.0001009762,0.000029007428,0.00033478244,0.00039853653,0.00003347685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031043674,0.001004396,0.026405832,0.002838511,0.0003238682,0.000009007039,0.000737181,0.00038602864,0.0006513745,0.95491266,0.0124098305,0.0002902599],"study_design_scores_gemma":[0.001256276,0.0005521488,0.13391969,0.0011905051,0.00041413456,0.000007748135,0.00025287847,0.00020116231,0.004457415,0.8567291,0.0003584602,0.0006605217],"about_ca_topic_score_codex":0.0001614076,"about_ca_topic_score_gemma":0.000009850711,"teacher_disagreement_score":0.10751385,"about_ca_system_score_codex":0.000047326444,"about_ca_system_score_gemma":0.00011956906,"threshold_uncertainty_score":0.8543449},"labels":[],"label_agreement":null},{"id":"W2045152285","doi":"10.1007/s00013-015-0750-9","title":"Free groups with involution satisfying a *-group identity","year":2015,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Involution (esoterism); Mathematics; Combinatorics; Pure mathematics; Biology","score_opus":0.07650506817798688,"score_gpt":0.301426217589926,"score_spread":0.2249211494119391,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045152285","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66245335,0.00018552931,0.31971502,0.00044720314,0.00014856984,0.00037494776,0.000012231032,0.0002766173,0.016386537],"genre_scores_gemma":[0.89069146,0.000005721979,0.10845844,0.00013123332,0.00012308669,0.000042928747,0.000008968177,0.000045374032,0.00049280055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982355,0.00011287881,0.00037477256,0.00032692257,0.00052394124,0.00042597757],"domain_scores_gemma":[0.99829537,0.0004885736,0.00020825511,0.00072443637,0.00007256111,0.00021078292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006899173,0.00023172205,0.00037300715,0.0002638769,0.00012760395,0.000059098456,0.0004639984,0.00007781135,0.00011599656],"category_scores_gemma":[0.0010308771,0.0001795594,0.00007686872,0.00049899594,0.00016524467,0.00040752365,0.0002823217,0.00022504228,0.00014623448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028166889,0.00021106403,0.0024782703,0.00016380414,0.00009204517,0.00002788673,0.004561021,0.0000028499562,0.00006663095,0.9815824,0.009768994,0.0010168775],"study_design_scores_gemma":[0.0011664915,0.00015145069,0.0026581485,0.00007078797,0.00007115879,0.000182829,0.0012892451,0.00022409575,0.00005837265,0.99358165,0.00030199255,0.00024378893],"about_ca_topic_score_codex":0.00008751758,"about_ca_topic_score_gemma":0.0003720734,"teacher_disagreement_score":0.2282381,"about_ca_system_score_codex":0.00006577165,"about_ca_system_score_gemma":0.000060959454,"threshold_uncertainty_score":0.732222},"labels":[],"label_agreement":null},{"id":"W2045200221","doi":"10.1112/s0010437x12000693","title":"Proper isometric actions of hyperbolic groups on -spaces","year":2013,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Pacific Institute for the Mathematical Sciences; University of Victoria","keywords":"Isometric exercise; Affine transformation; Action (physics); Measure (data warehouse); Boundary (topology); Group (periodic table)","score_opus":0.06485601442751132,"score_gpt":0.3055253407218329,"score_spread":0.24066932629432158,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045200221","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9336561,0.00008773842,0.004865326,0.0012343213,0.00013815619,0.00068467873,0.0000067510646,0.00014860828,0.059178293],"genre_scores_gemma":[0.97987264,0.000010688098,0.017877886,0.000114037925,0.00006932038,0.00011236475,0.0000029294451,0.000033177883,0.0019069762],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986377,0.00006834547,0.00045442142,0.00022633442,0.00030799556,0.00030525195],"domain_scores_gemma":[0.99793,0.0010879651,0.00022159533,0.0005107866,0.0001415448,0.00010811976],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00017265385,0.00020186609,0.00047740163,0.00063618494,0.000114275295,0.000042362528,0.0002938733,0.00010312488,0.0020990132],"category_scores_gemma":[0.0004602221,0.00015146748,0.00013485806,0.0010226588,0.0001503214,0.00012565323,0.00007874909,0.00017298586,0.0012387935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010807332,0.0016289125,0.00018884415,0.00051400485,0.00015178183,0.0000035962707,0.0009975785,0.0000040629734,0.006513992,0.9715233,0.015714822,0.0027483006],"study_design_scores_gemma":[0.0008892275,0.00069112354,0.0031301444,0.00024357454,0.00016093798,0.00012426804,0.0010568383,0.0006326177,0.012426734,0.9788938,0.0012540412,0.0004966553],"about_ca_topic_score_codex":0.000014001337,"about_ca_topic_score_gemma":5.800127e-7,"teacher_disagreement_score":0.057271317,"about_ca_system_score_codex":0.000034822733,"about_ca_system_score_gemma":0.000022932003,"threshold_uncertainty_score":0.99953884},"labels":[],"label_agreement":null},{"id":"W2045705351","doi":"10.1142/s0218196706003141","title":"FULLY RESIDUALLY FREE GROUPS AND GRAPHS LABELED BY INFINITE WORDS","year":2006,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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; Finitely-generated abelian group; Free group; Combinatorics; Group (periodic table); Integer (computer science); Stallings theorem about ends of groups; Limit (mathematics); Discrete mathematics; Representation (politics); Free product; Computer science","score_opus":0.011525382068489253,"score_gpt":0.2712008804228564,"score_spread":0.25967549835436715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045705351","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97180724,0.0007548329,0.024554383,0.0018923463,0.0003298606,0.000050319504,0.000010445805,0.000015706106,0.0005848505],"genre_scores_gemma":[0.9927611,0.00008114989,0.0066755004,0.0001358873,0.0001957914,0.0000010111263,0.000009658103,0.000010021542,0.00012988324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886936,0.00005476121,0.00047559888,0.000112853166,0.000376247,0.00011117712],"domain_scores_gemma":[0.9987383,0.00042254047,0.0004058807,0.00005338613,0.00032460582,0.00005527863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030099464,0.00010857436,0.00018870117,0.00035731084,0.000050524814,0.00008714286,0.00018091386,0.0000661744,0.000028424382],"category_scores_gemma":[0.00020301978,0.00009532647,0.00004915531,0.00015462462,0.0000770495,0.00020034725,0.00006626503,0.0001452313,0.0000014084918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003000285,0.00040878315,0.01940848,0.000044196,0.00047707776,0.00013368724,0.0008574612,0.00008868833,0.0015960836,0.8803079,0.0476863,0.04869131],"study_design_scores_gemma":[0.0017261617,0.00019893252,0.020966861,0.000036056153,0.00003917879,0.0003600099,0.00017345362,0.00024839435,0.00019181945,0.9752867,0.00065930386,0.00011311697],"about_ca_topic_score_codex":0.000026611986,"about_ca_topic_score_gemma":0.000015515894,"teacher_disagreement_score":0.09497881,"about_ca_system_score_codex":0.000020773532,"about_ca_system_score_gemma":0.000028931538,"threshold_uncertainty_score":0.38873005},"labels":[],"label_agreement":null},{"id":"W2045813778","doi":"10.1515/jgt.2008.008","title":"Exponential extensions of groups","year":2008,"lang":"en","type":"article","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Finitely-generated abelian group; Exponential function; Pure mathematics; Discrete mathematics; Algebra over a field; Mathematical analysis","score_opus":0.04813516145582386,"score_gpt":0.2857710304036816,"score_spread":0.23763586894785776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045813778","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96627706,0.00053132407,0.03102646,0.0001062984,0.00051905605,0.000044554166,0.0000017344904,0.000009610846,0.0014838781],"genre_scores_gemma":[0.9924858,0.00010618612,0.0065965517,0.000061250284,0.00028464015,5.1895825e-7,2.9742696e-7,0.00001385137,0.00045085675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987204,0.00017693872,0.00059359515,0.00007217388,0.0002754266,0.00016147293],"domain_scores_gemma":[0.9980596,0.0009307168,0.0005877553,0.0001805673,0.00015543852,0.00008593098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000999882,0.00009442525,0.0003831191,0.00031333455,0.00007216026,0.0000025777463,0.00021791068,0.000079622376,0.0005312565],"category_scores_gemma":[0.0010097454,0.000069477515,0.00023650129,0.00023148871,0.00021221256,0.00009823582,0.00005162268,0.00022497322,0.000010515775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028642564,0.000637563,0.0010411853,0.000039636,0.00018281012,0.00030880794,0.0014106408,0.0000024714602,0.0078211045,0.9785,0.006870842,0.00289852],"study_design_scores_gemma":[0.0010835943,0.00048588295,0.008497325,0.000046232188,0.000101896585,0.002638994,0.00089525915,0.000004593035,0.0014259171,0.9839073,0.00080082024,0.00011218854],"about_ca_topic_score_codex":0.000001565116,"about_ca_topic_score_gemma":4.914045e-7,"teacher_disagreement_score":0.026208762,"about_ca_system_score_codex":0.000016781663,"about_ca_system_score_gemma":0.00003878419,"threshold_uncertainty_score":0.58168864},"labels":[],"label_agreement":null},{"id":"W2047486650","doi":"10.1112/jtopol/jtn004","title":"Constructing infinitely many smooth structures on small 4-manifolds","year":2008,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Symplectic geometry; Diffeomorphism; Homeomorphism (graph theory); Pairwise comparison; Euler characteristic; Scheme (mathematics)","score_opus":0.07457916472657083,"score_gpt":0.30412489886859917,"score_spread":0.22954573414202833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047486650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98357433,0.00016013558,0.0019807415,0.0013673267,0.0012442316,0.000061664774,0.0000030911215,0.000023638193,0.011584815],"genre_scores_gemma":[0.9768495,0.000051289928,0.021357143,0.00051432045,0.0006063026,6.5640734e-7,5.148406e-7,0.000019713623,0.0006005889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984733,0.0001359659,0.0007047245,0.00014415495,0.00020585611,0.0003360147],"domain_scores_gemma":[0.99765784,0.0011003524,0.0007569341,0.00020590244,0.0001594955,0.00011950306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033566335,0.00017670245,0.00055428856,0.0005472658,0.00013008993,0.00000924402,0.00031977845,0.00021844135,0.00078172126],"category_scores_gemma":[0.0014610286,0.00013691622,0.0001815295,0.00022814926,0.00034239338,0.000053288335,0.00006108146,0.00053887774,0.000020727812],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016876841,0.00012597174,0.018719926,0.0000328172,0.00017695222,0.0010121107,0.00055732264,0.000010292685,0.00009691242,0.96442443,0.0068689426,0.00780556],"study_design_scores_gemma":[0.0025076976,0.002310899,0.019401213,0.000041406853,0.00012275894,0.023277389,0.0021451658,0.000016159918,0.0021110734,0.9381891,0.009493297,0.0003838515],"about_ca_topic_score_codex":0.000019412038,"about_ca_topic_score_gemma":0.000014827249,"teacher_disagreement_score":0.026235335,"about_ca_system_score_codex":0.00006395159,"about_ca_system_score_gemma":0.000113213544,"threshold_uncertainty_score":0.8559299},"labels":[],"label_agreement":null},{"id":"W2048372410","doi":"10.4153/cmb-2010-108-6","title":"Cyclic Surgery Between Toroidal Surgeries","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science","keywords":"Toroid; Mathematics; Zhàng; Knot (papermaking); Combinatorics; Surgery; Pure mathematics; Medicine; Physics; Composite material; Law; Quantum mechanics","score_opus":0.1297500203256246,"score_gpt":0.2643070277069502,"score_spread":0.1345570073813256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048372410","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8611081,0.00011214786,0.002059879,0.0035335121,0.00028564903,0.00034291513,0.00005111149,0.00023401006,0.13227263],"genre_scores_gemma":[0.989152,0.0000058438754,0.004863638,0.00043267422,0.00020764317,0.000034159388,0.000009662472,0.000057712397,0.0052366583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997843,0.000113080176,0.0006170789,0.00032589125,0.00023283412,0.0008681104],"domain_scores_gemma":[0.9960641,0.0023549066,0.00012393064,0.00048245,0.00006611086,0.0009084671],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00082613144,0.0002680379,0.0006792414,0.00043664203,0.00015938448,0.000032183,0.00030620577,0.00024262026,0.077006005],"category_scores_gemma":[0.0033950421,0.00024333404,0.00021826955,0.000352397,0.00027059545,0.000037882946,0.00005293417,0.00024101391,0.012395507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010441388,0.00013467466,0.018168377,0.00028374614,0.0001462941,0.00028596752,0.0012573518,1.8244014e-8,0.000006146918,0.69490606,0.2803989,0.0044020233],"study_design_scores_gemma":[0.00016890044,0.00004319859,0.008347923,0.00007079951,0.00008442978,0.000082405015,0.00040151543,0.0000012752856,0.0003522114,0.881048,0.10883784,0.00056149554],"about_ca_topic_score_codex":0.0021661562,"about_ca_topic_score_gemma":0.0008976234,"teacher_disagreement_score":0.18614194,"about_ca_system_score_codex":0.00010690241,"about_ca_system_score_gemma":0.00024336355,"threshold_uncertainty_score":0.9922874},"labels":[],"label_agreement":null},{"id":"W2048938627","doi":"10.1090/s0002-9939-2012-11507-2","title":"The last incoherent Artin group","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Group (periodic table); Conductor; Mathematics; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.022473293266198693,"score_gpt":0.2824857813086628,"score_spread":0.26001248804246413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048938627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9866479,0.00009517969,0.0007870961,0.002126839,0.00010706463,0.00034963147,0.0000021557435,0.00007801228,0.009806101],"genre_scores_gemma":[0.98170483,0.00002646332,0.017142527,0.00028283743,0.00018326276,0.000052240106,1.3311109e-7,0.000029137762,0.00057858933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983016,0.000019835697,0.00047105085,0.00015784684,0.00046376607,0.00058585865],"domain_scores_gemma":[0.99772584,0.0011446819,0.00066887814,0.00022161451,0.000107799584,0.00013115608],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001238528,0.0001912828,0.00041441942,0.000018336226,0.00031634636,0.000035861794,0.0006657389,0.000054741125,0.00005975505],"category_scores_gemma":[0.0015449189,0.00009408457,0.00041744407,0.00074190676,0.0012062517,0.00010120042,0.00042206817,0.00029119864,0.000037554433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011981305,0.00045685665,0.013792171,0.00021561862,0.00015520022,2.7180024e-8,0.002399187,5.3180905e-8,0.0015770267,0.9470514,0.031251255,0.0030892324],"study_design_scores_gemma":[0.00029586276,0.00012991966,0.01435275,0.00007034097,0.00015784767,0.000027114493,0.011557781,0.00011296476,0.0028566974,0.96391284,0.0062457677,0.0002801186],"about_ca_topic_score_codex":0.0000056668327,"about_ca_topic_score_gemma":5.5158097e-7,"teacher_disagreement_score":0.025005486,"about_ca_system_score_codex":0.000056245935,"about_ca_system_score_gemma":0.0000129155305,"threshold_uncertainty_score":0.44444844},"labels":[],"label_agreement":null},{"id":"W2048954346","doi":"10.1088/1751-8113/47/15/155202","title":"Links with small lattice stick numbers","year":2014,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","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":"Lattice (music); Combinatorics; Knot (papermaking); Mathematics; Physics; Materials science","score_opus":0.01955893974551768,"score_gpt":0.25656266333309424,"score_spread":0.23700372358757657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048954346","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6384686,0.000018628627,0.3464523,0.0012833998,0.00006100934,0.0000921957,0.000001083,0.000016484933,0.013606282],"genre_scores_gemma":[0.919964,0.000005557232,0.07932826,0.00018059347,0.000320933,0.0000016887049,2.2377957e-7,0.000024807536,0.00017392966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866813,0.000121049394,0.00048143152,0.00014104572,0.00031201215,0.0002763077],"domain_scores_gemma":[0.995636,0.0035005691,0.00026109593,0.00019048572,0.00016204329,0.00024980202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008027363,0.00018502507,0.00056761206,0.00006054931,0.00005944539,0.000043205164,0.00018752519,0.00014981948,0.0003131221],"category_scores_gemma":[0.0015960162,0.00010889084,0.00011597971,0.0001836253,0.00073123956,0.00006412225,0.00006597812,0.00057503977,0.000027169206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060320508,0.00029771053,0.000069270405,0.0001437175,0.000083950385,0.000013954805,0.0003209471,9.261832e-7,0.000014770133,0.9954064,0.000087148896,0.0035008967],"study_design_scores_gemma":[0.00078557373,0.00058976776,0.000035736393,0.00012680919,0.00022529696,0.0004433248,0.00014919722,0.0007669782,0.00021289682,0.9962837,0.00023274306,0.00014798713],"about_ca_topic_score_codex":6.728738e-7,"about_ca_topic_score_gemma":4.1268484e-7,"teacher_disagreement_score":0.28149536,"about_ca_system_score_codex":0.000011491907,"about_ca_system_score_gemma":0.000032586773,"threshold_uncertainty_score":0.44404393},"labels":[],"label_agreement":null},{"id":"W2049040335","doi":"10.1016/s0040-9383(01)00006-4","title":"Symmetry groups of four-manifolds","year":2002,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Equivariant map; Complement (music); Pure mathematics; Group action; Lie group; Cohomology; Manifold (fluid mechanics); Group (periodic table); Symmetry (geometry); Action (physics); Combinatorics; Geometry","score_opus":0.06601464048558278,"score_gpt":0.2844487811532139,"score_spread":0.21843414066763114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049040335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90171397,0.0005284687,0.0024052307,0.0017915707,0.0005964066,0.00012974715,0.00000559568,0.000103381324,0.092725635],"genre_scores_gemma":[0.9910813,0.000036047273,0.0031488712,0.00021640633,0.00012768613,0.0000055508262,8.945971e-7,0.000015722911,0.0053675277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899906,0.00007613511,0.0003185851,0.00018528818,0.00011303715,0.00030788078],"domain_scores_gemma":[0.9988552,0.000566195,0.00014005136,0.00033721342,0.000042581396,0.000058785816],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017500114,0.00011798822,0.0003550927,0.0002493177,0.00004280918,0.0000026657742,0.00022506788,0.00018485832,0.0072931796],"category_scores_gemma":[0.0005076329,0.00010551412,0.000090642534,0.00035533652,0.00022324402,0.000032132994,0.000082426035,0.00013620844,0.00026840103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004760525,0.000141076,0.0026396674,0.000040901683,0.00004401501,0.00002561109,0.00024148733,1.738346e-7,0.00012353044,0.9773976,0.015217389,0.0041237622],"study_design_scores_gemma":[0.00086524524,0.00041457248,0.0029823782,0.000008901326,0.00007061606,0.0003368333,0.00039120394,0.000101498896,0.001360982,0.9837555,0.009470148,0.00024209115],"about_ca_topic_score_codex":0.000035975398,"about_ca_topic_score_gemma":0.000013634748,"teacher_disagreement_score":0.08936733,"about_ca_system_score_codex":0.000016522621,"about_ca_system_score_gemma":0.000006520266,"threshold_uncertainty_score":0.9936143},"labels":[],"label_agreement":null},{"id":"W2049615199","doi":"10.1016/j.jalgebra.2010.07.014","title":"Algebras and groups defined by permutation relations of alternating type","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Monoid; Congruence (geometry); Permutation group; Nilpotent; Pure mathematics; Permutation (music); Finitely-generated abelian group; Group (periodic table); Ideal (ethics); Cyclic permutation; Type (biology); Nilpotent group; Generating set of a group; Algebra over a field; Combinatorics; Symmetric group","score_opus":0.01722841418999452,"score_gpt":0.2844485640252843,"score_spread":0.26722014983528974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049615199","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9960208,0.00023352134,0.0018267302,0.000669098,0.00042163138,0.000052883785,0.0000030534995,0.000009587565,0.0007626847],"genre_scores_gemma":[0.9807938,0.000028089406,0.018734407,0.000043582288,0.00013458799,4.912946e-7,0.0000018985864,0.000014245169,0.00024889756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896455,0.00004101773,0.0005544066,0.000085649845,0.00022597615,0.00012839156],"domain_scores_gemma":[0.9981594,0.00069650647,0.00069102395,0.00011266098,0.00025851984,0.00008185469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050797884,0.00009363527,0.00026024212,0.0002382263,0.000059091097,0.00001653091,0.0001285703,0.00010116944,0.0002868989],"category_scores_gemma":[0.002223566,0.00007760086,0.00006599534,0.00028072338,0.000082820705,0.00017203824,0.0000322729,0.0003542677,0.0000065773606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011181734,0.00051272137,0.04452944,0.00012594894,0.00033798293,0.00003090712,0.002838487,0.000007800595,0.081898734,0.8394919,0.017941505,0.012172759],"study_design_scores_gemma":[0.0018109771,0.0008417279,0.028073795,0.000064119,0.00022346599,0.00075542566,0.000772298,0.0002414303,0.0078471685,0.9577313,0.0013884252,0.00024985988],"about_ca_topic_score_codex":0.000008156431,"about_ca_topic_score_gemma":0.000008721129,"teacher_disagreement_score":0.11823941,"about_ca_system_score_codex":0.000011879627,"about_ca_system_score_gemma":0.00005228583,"threshold_uncertainty_score":0.31644714},"labels":[],"label_agreement":null},{"id":"W2051083874","doi":"10.4171/rmi/517","title":"A universal Lipschitz extension property of Gromov hyperbolic spaces","year":2007,"lang":"es","type":"article","venue":"Revista Matemática Iberoamericana","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Extension (predicate logic); Lipschitz continuity; Property (philosophy); Mathematics; Pure mathematics; Computer science","score_opus":0.023609396080080332,"score_gpt":0.2801923842131095,"score_spread":0.25658298813302916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051083874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96932125,0.004199468,0.0031047764,0.0014085247,0.00032312633,0.0008936383,0.000049698454,0.00017684781,0.020522682],"genre_scores_gemma":[0.98572326,0.00128497,0.0074541527,0.0001783955,0.00022834587,0.0000049060955,0.000011544812,0.00011058646,0.0050038267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9958684,0.00028325204,0.0012993091,0.0007732233,0.00068962236,0.0010862327],"domain_scores_gemma":[0.9960475,0.0009316261,0.0010406958,0.0011917874,0.00033858686,0.00044978553],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012547423,0.0006014909,0.0015983448,0.0007053715,0.00016926196,0.00011503544,0.00063090865,0.0002998558,0.0008173911],"category_scores_gemma":[0.0012029635,0.00043745775,0.0003521862,0.002083068,0.0010670559,0.00017222439,0.0003401636,0.00045955315,0.00029625322],"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":[0.0010371624,0.0037077037,0.022522869,0.010447754,0.0016932645,0.0011627049,0.0034104977,0.000010530947,0.022600418,0.7272229,0.022833576,0.18335062],"study_design_scores_gemma":[0.007236086,0.0062968186,0.107100196,0.007261146,0.005071751,0.0015700068,0.020723442,0.001116774,0.011830911,0.011121797,0.8143881,0.006282993],"about_ca_topic_score_codex":0.0008466767,"about_ca_topic_score_gemma":0.000009779587,"teacher_disagreement_score":0.7915545,"about_ca_system_score_codex":0.00017182797,"about_ca_system_score_gemma":0.00025997733,"threshold_uncertainty_score":0.9998077},"labels":[],"label_agreement":null},{"id":"W2051204832","doi":"10.1090/s0065-9266-2010-00628-8","title":"On systems of equations over free partially commutative groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics","score_opus":0.02442533479567697,"score_gpt":0.3018606467566562,"score_spread":0.2774353119609792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051204832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95307064,0.000023016772,0.04101326,0.0017816849,0.00028826186,0.00041558154,0.000057735266,0.000045594825,0.0033042093],"genre_scores_gemma":[0.9811632,0.0000034449126,0.018104685,0.0001728208,0.00005349895,0.000025678759,0.0000010198565,0.000024542705,0.0004511036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830896,0.0001535885,0.00058028114,0.00017320845,0.0005116394,0.00027234713],"domain_scores_gemma":[0.9930128,0.0049892096,0.0007883521,0.0010109878,0.00012053838,0.00007811952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000783626,0.00017426292,0.00065117306,0.000039505812,0.00010610584,0.000010930392,0.0007532095,0.00008639157,0.00023047093],"category_scores_gemma":[0.00431148,0.00011232925,0.00044184472,0.0006047218,0.0016324902,0.000042257012,0.00025286686,0.000401673,0.0000146355615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011431334,0.0004873121,0.00017925359,0.00018760505,0.0001644763,2.97171e-7,0.0019039056,0.000031408414,0.0013138859,0.9860015,0.009527092,0.00019186556],"study_design_scores_gemma":[0.0004318865,0.00018878243,0.00087702234,0.00007438176,0.00012479971,0.0000057157695,0.0023979894,0.0027008313,0.0015105695,0.9914484,0.00008713539,0.0001524996],"about_ca_topic_score_codex":0.00010419093,"about_ca_topic_score_gemma":0.000014283895,"teacher_disagreement_score":0.028092548,"about_ca_system_score_codex":0.00002722371,"about_ca_system_score_gemma":0.00005127697,"threshold_uncertainty_score":0.6014978},"labels":[],"label_agreement":null},{"id":"W2051395214","doi":"10.1142/s0218216506004762","title":"THE <font>SL</font><sub>2</sub>(ℂ) CASSON INVARIANT FOR SEIFERT FIBERED HOMOLOGY SPHERES AND SURGERIES ON TWIST KNOTS","year":2006,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Fibered knot; Invariant (physics); Homology (biology); Finite type invariant; Pure mathematics; Twist; SPHERES; Combinatorics; Mathematical analysis; Geometry; Mathematical physics; Physics; Invariant polynomial","score_opus":0.025022065178571334,"score_gpt":0.27536208097021836,"score_spread":0.250340015791647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051395214","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9870973,0.0035718216,0.0047652996,0.0031520503,0.00034174905,0.00030565244,0.00003908444,0.00001922302,0.0007078079],"genre_scores_gemma":[0.9975591,0.0005253828,0.00040474706,0.000119125034,0.00024031391,0.000019550956,0.000004772989,0.00001984741,0.0011072066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849665,0.00033237037,0.0006020013,0.00016912856,0.00013422819,0.00026559233],"domain_scores_gemma":[0.9926126,0.0063409777,0.00050484383,0.00020993938,0.00024155872,0.00009007339],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014372774,0.00016878096,0.00035680205,0.00015697499,0.00054607907,0.00007520647,0.00017222174,0.00011564095,0.000025132027],"category_scores_gemma":[0.002332169,0.00011146874,0.00010947617,0.00019432603,0.00026520886,0.00011284045,0.00003322805,0.00023023773,0.0000044305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028574493,0.00017785067,0.00012307591,0.000038533184,0.00009880483,0.000008643226,0.00031125278,0.000006579388,0.003911605,0.9806995,0.006906542,0.0074318796],"study_design_scores_gemma":[0.0010339993,0.00041431948,0.009268121,0.000058064474,0.00018635792,0.0005126341,0.0013020908,0.00007174728,0.008528902,0.9614822,0.016917959,0.0002235789],"about_ca_topic_score_codex":0.0000062454424,"about_ca_topic_score_gemma":0.00008891283,"teacher_disagreement_score":0.019217264,"about_ca_system_score_codex":0.000029242914,"about_ca_system_score_gemma":0.000094332376,"threshold_uncertainty_score":0.45455632},"labels":[],"label_agreement":null},{"id":"W2051623785","doi":"10.1142/s0129167x06003515","title":"HARTOGS TYPE THEOREMS ON COVERINGS OF STEIN MANIFOLDS","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Extension (predicate logic); Type (biology); Stein manifold; Pure mathematics; Complex manifold; Holomorphic function","score_opus":0.025960247442165154,"score_gpt":0.3030982030270829,"score_spread":0.2771379555849178,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051623785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9664473,0.00009587067,0.0117131965,0.0004887569,0.0010334831,0.00007973648,0.000011266768,0.000015892378,0.020114519],"genre_scores_gemma":[0.980069,0.000025239107,0.018031476,0.00005916076,0.00032227757,5.6750525e-7,0.0000015074291,0.000019588075,0.0014712216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998324,0.000026976131,0.000780475,0.0000737409,0.00067204045,0.00012279031],"domain_scores_gemma":[0.99763733,0.0006822904,0.00091444195,0.00014688453,0.00058245525,0.000036579335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005274668,0.000120086464,0.00031683577,0.00033616298,0.000016714452,0.000021677577,0.0004661876,0.00007228707,0.00061434205],"category_scores_gemma":[0.00071742263,0.00009218504,0.00014822165,0.00015043686,0.00006592669,0.00007986722,0.00005208216,0.00015316965,0.000032305787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006475205,0.00088683696,0.00048117695,0.00008731005,0.00021779785,0.00008923262,0.0003328245,0.00007985431,0.0014631071,0.98327065,0.01233953,0.0006869604],"study_design_scores_gemma":[0.0009104517,0.00037054118,0.00041685504,0.00022714726,0.000057200617,0.00046838037,0.00032340304,0.00014456915,0.009245627,0.98378927,0.0039192545,0.00012728648],"about_ca_topic_score_codex":0.000009634766,"about_ca_topic_score_gemma":0.0000020449174,"teacher_disagreement_score":0.018643297,"about_ca_system_score_codex":0.000054980752,"about_ca_system_score_gemma":0.000047567908,"threshold_uncertainty_score":0.6726615},"labels":[],"label_agreement":null},{"id":"W2052158736","doi":"10.1007/s00029-004-0344-z","title":"The Århus integral of rational homology 3-spheres III: Relation with the Le–Murakami–Ohtsuki invariant","year":2004,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Invariant (physics); Homology (biology); Corollary; Mathematics; Interpretation (philosophy); Pure mathematics; Gaussian; Algebra over a field; Mathematical physics; Physics; Computer science; Quantum mechanics","score_opus":0.01772524346148012,"score_gpt":0.24979637055134368,"score_spread":0.23207112708986355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052158736","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7928703,0.0004487855,0.16232926,0.018914685,0.00017778185,0.0012631502,0.000008110826,0.00016533937,0.02382259],"genre_scores_gemma":[0.98540324,0.000012269752,0.013089513,0.00010314272,0.000063876505,0.00006141752,0.00000491723,0.000027715494,0.001233911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984393,0.00014434688,0.0005007347,0.00021874007,0.00034781237,0.00034905932],"domain_scores_gemma":[0.9967397,0.0021747365,0.0003692531,0.0004853136,0.00018335879,0.000047662135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006342189,0.00020373792,0.00034471895,0.00008542257,0.00040268977,0.00004065959,0.00044752026,0.00012388638,0.00017962269],"category_scores_gemma":[0.0009785828,0.00009810516,0.00009166332,0.00063202996,0.0005389713,0.00009665711,0.00007049583,0.00031984397,0.0000350271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051047093,0.00014182538,0.00004005132,0.000039664606,0.00012354695,0.00000414212,0.0015834793,0.000028446255,0.00021703569,0.9954477,0.0019910329,0.00033205445],"study_design_scores_gemma":[0.0010465798,0.00028645206,0.00048692862,0.000051293664,0.00008951472,0.00024171203,0.0022249587,0.00020263837,0.0018786731,0.9928987,0.00043074635,0.00016181439],"about_ca_topic_score_codex":0.00009538542,"about_ca_topic_score_gemma":0.0005058992,"teacher_disagreement_score":0.19253294,"about_ca_system_score_codex":0.000050616505,"about_ca_system_score_gemma":0.00033675655,"threshold_uncertainty_score":0.40006125},"labels":[],"label_agreement":null},{"id":"W2052788423","doi":"10.4153/cmb-2003-037-6","title":"Branched Covers of Tangles in Three-balls","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Tangle; Mathematics; Combinatorics; Cover (algebra); Pure mathematics","score_opus":0.027492127357418152,"score_gpt":0.2536553818174116,"score_spread":0.22616325445999344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052788423","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8006559,0.00021431438,0.007529161,0.0031358881,0.00012832721,0.0005651454,0.000027511822,0.00004281015,0.18770093],"genre_scores_gemma":[0.9909229,0.0000028946351,0.007320826,0.00029046307,0.000014816557,0.000016747037,0.0000014760227,0.000025126377,0.0014047425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998541,0.000084762476,0.0004833998,0.0002145455,0.00018231604,0.00049397675],"domain_scores_gemma":[0.99825495,0.00094185304,0.00009754114,0.0003323639,0.000047105448,0.0003261884],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00060831173,0.00016519736,0.00045799537,0.00035819112,0.000034783185,0.000011626016,0.0002135795,0.00016941348,0.024413006],"category_scores_gemma":[0.0041030743,0.00015320722,0.00009278562,0.00044516532,0.00017066005,0.000015741234,0.000015387717,0.00017576596,0.0015123887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035401326,0.00008291262,0.00096400455,0.00011911833,0.000018610874,0.000039976167,0.00018159127,0.0000020579855,0.000045373537,0.99207366,0.006245873,0.00022329148],"study_design_scores_gemma":[0.0006251744,0.00004457559,0.00054439553,0.000081916645,0.000020061587,0.00003127949,0.00029862256,0.000019648869,0.0005257561,0.9761824,0.021418305,0.0002078673],"about_ca_topic_score_codex":0.00084241637,"about_ca_topic_score_gemma":0.0041939733,"teacher_disagreement_score":0.190267,"about_ca_system_score_codex":0.00011548372,"about_ca_system_score_gemma":0.00022074881,"threshold_uncertainty_score":0.9992651},"labels":[],"label_agreement":null},{"id":"W2052910014","doi":"10.1515/forum.2009.031","title":"Mahler measure under variations of the base group","year":2009,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Measure (data warehouse); Abelian group; Base (topology); Group (periodic table); Dihedral group; Generalization; Non-abelian group","score_opus":0.034328373494780046,"score_gpt":0.2745210215697626,"score_spread":0.24019264807498256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2052910014","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24456713,0.00031799002,0.6338011,0.056758057,0.001201331,0.0020199784,0.000049308903,0.00044229144,0.06084282],"genre_scores_gemma":[0.9781521,0.00000134198,0.01814856,0.0005329736,0.00004470846,0.0000115641,0.0000015675615,0.00001770842,0.0030894524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870515,0.000070758084,0.00042358594,0.0001627861,0.00033750533,0.0003001943],"domain_scores_gemma":[0.99856716,0.00042245237,0.00027190679,0.0006087389,0.000076583,0.00005317903],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042345384,0.00015573441,0.00030057854,0.00011483635,0.00013031477,0.000015693004,0.00034623806,0.0001096531,0.00047373143],"category_scores_gemma":[0.0007555042,0.00009803111,0.00018110672,0.000533357,0.00004657419,0.000074050855,0.00006996537,0.00014696158,0.000048797647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030800618,0.00028508928,0.0000958807,0.000051146384,0.000034907167,6.74059e-7,0.00035856682,0.0000040065515,0.0004013328,0.9878221,0.010408336,0.0005348378],"study_design_scores_gemma":[0.00033825217,0.00006188844,0.0013566007,0.00006755287,0.0000739783,0.00002295439,0.00042559425,0.00025632686,0.00062346226,0.99635816,0.00029558668,0.00011966937],"about_ca_topic_score_codex":0.0000073986344,"about_ca_topic_score_gemma":0.00001465019,"teacher_disagreement_score":0.733585,"about_ca_system_score_codex":0.00005081535,"about_ca_system_score_gemma":0.000033636166,"threshold_uncertainty_score":0.5187027},"labels":[],"label_agreement":null},{"id":"W2053044507","doi":"10.1007/s10910-008-9364-9","title":"Thoughts on lattice knot statistics","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Chemistry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Knot (papermaking); Lattice (music); Mathematics; Conjecture; Geometry; Combinatorics; Monte Carlo method; Physics; Statistics; Engineering","score_opus":0.05798902395898645,"score_gpt":0.3134811433376261,"score_spread":0.25549211937863964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053044507","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8905257,0.00012666703,0.074947305,0.0007275445,0.00023999179,0.000105109815,0.000020275249,0.000049482383,0.03325794],"genre_scores_gemma":[0.8200739,0.00005614548,0.16943623,0.00017481625,0.001391286,0.0000026587145,0.0000015160397,0.00004703151,0.008816395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998229,0.000038367412,0.00076925906,0.00012497319,0.00057247555,0.00026590048],"domain_scores_gemma":[0.996643,0.0021668938,0.00050177553,0.00026999568,0.00020874637,0.00020956964],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00044350082,0.00018247475,0.00051975437,0.00006727775,0.000084085594,0.00001264122,0.00030391634,0.00015242197,0.0010398645],"category_scores_gemma":[0.004029876,0.00013270353,0.00015281531,0.00019182755,0.00016826918,0.000054659387,0.000043838296,0.0004936376,0.00011351266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059618446,0.008451867,0.0006231686,0.0046829088,0.001097178,0.0061488426,0.0039671226,0.000027782224,0.011394248,0.55088687,0.40802246,0.004101343],"study_design_scores_gemma":[0.0010338471,0.00021062094,0.00011989841,0.00016806013,0.0001232374,0.004472116,0.00020625752,0.0000905228,0.028909499,0.96123016,0.0031817076,0.0002540482],"about_ca_topic_score_codex":1.3508335e-7,"about_ca_topic_score_gemma":3.825784e-8,"teacher_disagreement_score":0.41034332,"about_ca_system_score_codex":0.000053511227,"about_ca_system_score_gemma":0.000093920076,"threshold_uncertainty_score":0.99987334},"labels":[],"label_agreement":null},{"id":"W2053094902","doi":"10.1090/s0002-9939-2011-10996-1","title":"Pentagon and hexagon equations following Furusho","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pentagon; Braid; Mathematics; Algebraic number; Pure mathematics; Algebraic geometry; Algebra over a field; Geometry; Mathematical analysis; Geography","score_opus":0.05109502901815561,"score_gpt":0.29002431322502187,"score_spread":0.23892928420686627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053094902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9854225,0.00002908421,0.001985496,0.0005322028,0.000041689447,0.0002444906,0.0000020534749,0.00006417824,0.011678341],"genre_scores_gemma":[0.9335075,0.000011361911,0.06588786,0.00017982334,0.000028362849,0.000020394213,1.4202743e-7,0.000021477372,0.00034307165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988525,0.000009566385,0.00035928673,0.00021340497,0.0002833096,0.00028193745],"domain_scores_gemma":[0.99884206,0.00044700044,0.00040818143,0.00014010358,0.00007525329,0.00008741123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049283035,0.00015999444,0.00042691562,0.000035476376,0.00015258072,0.000017766346,0.00033728036,0.000050418443,0.000094007206],"category_scores_gemma":[0.0011222359,0.00010611101,0.00034874724,0.0005606172,0.0005840391,0.00010327226,0.00026778728,0.00017506054,0.000008287499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012447873,0.00035023768,0.008583676,0.00032577864,0.00023492349,2.5986836e-7,0.010498379,2.5904885e-8,0.0027910997,0.97317284,0.0023100025,0.001720301],"study_design_scores_gemma":[0.00023766287,0.000112177135,0.0040082224,0.000062410174,0.00019848841,0.000011727514,0.009220013,0.00021992454,0.0038790305,0.9818189,0.000051592604,0.00017982633],"about_ca_topic_score_codex":0.00002385251,"about_ca_topic_score_gemma":3.4077632e-7,"teacher_disagreement_score":0.06390236,"about_ca_system_score_codex":0.00002751526,"about_ca_system_score_gemma":0.0000161067,"threshold_uncertainty_score":0.4327081},"labels":[],"label_agreement":null},{"id":"W2053952521","doi":"10.1142/s0218196707003652","title":"THE CONJUGACY PROBLEM IN AMALGAMATED PRODUCTS I: REGULAR ELEMENTS AND BLACK HOLES","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Royal Society; Leverhulme Trust","keywords":"Mathematics; Conjugacy problem; Conjugacy class; Decidability; Word problem (mathematics education); Set (abstract data type); Generating set of a group; Word (group theory); Combinatorics; Group (periodic table); Discrete mathematics; Arithmetic; Computer science; Geometry","score_opus":0.02021959567896121,"score_gpt":0.3107638551989609,"score_spread":0.2905442595199997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053952521","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9856921,0.0002992302,0.010612686,0.0028407485,0.00022568452,0.00011025254,7.202112e-7,0.0000068653785,0.00021173981],"genre_scores_gemma":[0.9939842,0.00012335536,0.0056430185,0.000064596374,0.00012333214,6.654033e-7,0.000001931782,0.0000062964564,0.000052597734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889827,0.000046313085,0.00054887944,0.00009429104,0.00028930412,0.00012291707],"domain_scores_gemma":[0.9987373,0.00039234737,0.00040727135,0.000038954004,0.00038416567,0.000040005958],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010740996,0.00007763465,0.00012648116,0.0002469872,0.000047982365,0.000070505106,0.00012818811,0.000037043475,0.0000042866586],"category_scores_gemma":[0.00032541202,0.00005492714,0.00002107408,0.00015838117,0.00016372057,0.00014089019,0.000044634824,0.00012407267,0.0000011587064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00056428346,0.00039171166,0.042646125,0.000088397996,0.0004958899,0.00021413322,0.0036205489,0.00015741469,0.0015459416,0.68020564,0.002319576,0.26775032],"study_design_scores_gemma":[0.0022540614,0.0002460537,0.11028732,0.000118130134,0.000030112386,0.0004132944,0.0015630214,0.0011025155,0.0009464633,0.88164467,0.0012564063,0.00013796455],"about_ca_topic_score_codex":0.000003784758,"about_ca_topic_score_gemma":0.000006806804,"teacher_disagreement_score":0.26761234,"about_ca_system_score_codex":0.00003169342,"about_ca_system_score_gemma":0.000031629097,"threshold_uncertainty_score":0.22398637},"labels":[],"label_agreement":null},{"id":"W2054610286","doi":"10.1016/j.crma.2013.09.022","title":"A remark on homomorphisms from right-angled Artin groups to mapping class groups","year":2013,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mapping class group; Homomorphism; Injective function; Artin group; Automorphism; Outer automorphism group; Combinatorics; Twist; Pure mathematics; Automorphism group; Coxeter group; Geometry","score_opus":0.03333513106201754,"score_gpt":0.2629810789806909,"score_spread":0.22964594791867335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054610286","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96026564,0.00015249662,0.01657251,0.0033676885,0.0005683799,0.0010704699,0.000038591446,0.00047583244,0.017488416],"genre_scores_gemma":[0.9630177,0.000015718382,0.03272408,0.0015723999,0.00036922927,0.00032847366,0.000047663067,0.00008881277,0.0018359321],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969233,0.00028730894,0.0008924584,0.00069728255,0.00044566428,0.000753966],"domain_scores_gemma":[0.9961299,0.0019077404,0.0003711489,0.0010676445,0.00014752599,0.00037609765],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004214751,0.00049908116,0.00088622584,0.00053972483,0.0002158084,0.00014897663,0.00068364694,0.0003456891,0.009347781],"category_scores_gemma":[0.000932366,0.0004255189,0.00020701114,0.0008078962,0.00010598308,0.00016620477,0.00029110632,0.0005768107,0.007458664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047419588,0.0008527446,0.0011372709,0.00017482259,0.00028614904,0.00014091846,0.0034290308,0.000018108067,0.0061140987,0.55759835,0.4244632,0.005737914],"study_design_scores_gemma":[0.0011681778,0.0003490899,0.016333904,0.00038200914,0.000058012964,0.000056157707,0.0009847186,0.0011990739,0.0032990673,0.9633753,0.011848186,0.00094632094],"about_ca_topic_score_codex":0.00019459565,"about_ca_topic_score_gemma":0.000040408235,"teacher_disagreement_score":0.412615,"about_ca_system_score_codex":0.00015181565,"about_ca_system_score_gemma":0.000041079475,"threshold_uncertainty_score":0.99981964},"labels":[],"label_agreement":null},{"id":"W2054815845","doi":"10.1142/s0218216509007038","title":"REDUCIBLE DEHN SURGERY AND THE BRIDGE NUMBER OF A KNOT","year":2009,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 Moncton","funders":"","keywords":"Mathematics; Knot (papermaking); Combinatorics; Dehn surgery; Connected sum; Homology (biology); Corollary; Lens space; Simply connected space; Chemistry","score_opus":0.04590077924935184,"score_gpt":0.329943819925634,"score_spread":0.28404304067628217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054815845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98825634,0.0024455541,0.002315604,0.004484841,0.00011302568,0.00010936996,0.0000059342924,0.000007798553,0.0022615646],"genre_scores_gemma":[0.9974316,0.00082269654,0.00042961878,0.0001535237,0.000096348165,0.0000014121084,5.5233744e-7,0.000005754603,0.0010585036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988564,0.00030735825,0.0005122793,0.00008558409,0.00011974787,0.00011859926],"domain_scores_gemma":[0.99564654,0.0034674122,0.00046863337,0.0001715537,0.0001783541,0.00006748449],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025078952,0.000084252446,0.00033248882,0.00014764036,0.00012502083,0.000018706924,0.00012100952,0.000058168916,0.00011702613],"category_scores_gemma":[0.0028591123,0.00005201466,0.00010621495,0.0002461479,0.00020838995,0.00010780316,0.000017118467,0.00017612308,0.000004484108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013427134,0.00013900161,0.00019361918,0.000021936357,0.000056273013,0.000001911969,0.0009836217,7.186594e-7,0.00030626057,0.9894817,0.0020097652,0.0066709258],"study_design_scores_gemma":[0.0006973635,0.000051731746,0.019587897,0.000056274555,0.00015671748,0.00057296903,0.00051175547,0.000019755265,0.00071429915,0.97586256,0.0016847872,0.00008386296],"about_ca_topic_score_codex":0.0000012931995,"about_ca_topic_score_gemma":3.9108392e-7,"teacher_disagreement_score":0.019394277,"about_ca_system_score_codex":0.0000070367455,"about_ca_system_score_gemma":0.000064928114,"threshold_uncertainty_score":0.3422831},"labels":[],"label_agreement":null},{"id":"W2055182095","doi":"10.1007/s00209-015-1405-z","title":"Tagged mapping class groups: Auslander–Reiten translation","year":2015,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","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":"Bishop's University","funders":"","keywords":"Intersection (aeronautics); Polygon (computer graphics); Translation (biology); Braid group; Braid; Class (philosophy); Surface (topology); Type (biology)","score_opus":0.1077075762372239,"score_gpt":0.2987549332776445,"score_spread":0.1910473570404206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055182095","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12399112,0.052100994,0.42092133,0.013442982,0.010134329,0.0054379134,0.00036671467,0.0022069188,0.3713977],"genre_scores_gemma":[0.920251,0.0003614783,0.066566885,0.00058575824,0.0024722593,0.00014979941,0.0002362856,0.0003352016,0.009041309],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9938561,0.000560802,0.0018274651,0.0010518325,0.0012949632,0.0014088545],"domain_scores_gemma":[0.995186,0.0013848041,0.0009248091,0.0013515892,0.00037400058,0.0007788529],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0028205214,0.0009747523,0.0015965233,0.0008919874,0.0003384157,0.00028458497,0.00089255284,0.0010158285,0.001762074],"category_scores_gemma":[0.0020028322,0.0008957046,0.0004691156,0.0016630432,0.0003020213,0.00051674456,0.00029512716,0.0010930876,0.007268299],"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":[0.00012588078,0.0017226721,0.0012734038,0.002970587,0.0020497655,0.00023465723,0.054111306,0.00006518563,0.00074952235,0.7630167,0.15268062,0.020999683],"study_design_scores_gemma":[0.009032173,0.00070080935,0.0006537657,0.0011833458,0.0015859287,0.00032010104,0.013595802,0.010340264,0.0007100762,0.12636863,0.8328411,0.0026680012],"about_ca_topic_score_codex":0.00007123117,"about_ca_topic_score_gemma":0.00002827251,"teacher_disagreement_score":0.79625994,"about_ca_system_score_codex":0.000040819967,"about_ca_system_score_gemma":0.00035097913,"threshold_uncertainty_score":0.99934936},"labels":[],"label_agreement":null},{"id":"W2055541972","doi":"10.1142/s0218216504003068","title":"ENUMERATING THE PRIME ALTERNATING LINKS","year":2004,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"","keywords":"Mathematics; Prime (order theory); Crossing number (knot theory); Knot (papermaking); Combinatorics; Discrete mathematics","score_opus":0.036433077854918075,"score_gpt":0.31941659855248034,"score_spread":0.2829835206975623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055541972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94220036,0.0018085192,0.04968555,0.004570905,0.00023176256,0.000112884714,0.000002281605,0.00001552718,0.0013722037],"genre_scores_gemma":[0.9959912,0.000112445174,0.0029513773,0.000188077,0.00026435987,0.000002114967,3.3607023e-7,0.000008432603,0.00048167323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991243,0.00016224771,0.00039683594,0.0000717102,0.00012616685,0.0001187214],"domain_scores_gemma":[0.9979593,0.0012932315,0.0004143388,0.0001303351,0.00014821459,0.000054566535],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016499262,0.0000747423,0.00014652051,0.000103927196,0.0002859102,0.000037083188,0.00019824057,0.00007007423,0.00005649415],"category_scores_gemma":[0.0027710327,0.000045854624,0.00006461564,0.00019271432,0.00006819885,0.00011471162,0.000028703656,0.0004269815,0.000009464939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000833968,0.000061000228,0.000026288239,0.00000839436,0.000044243257,0.0000026183616,0.001750656,0.00004250366,0.0014542127,0.98996603,0.00003894591,0.006596762],"study_design_scores_gemma":[0.00045600388,0.000088011264,0.0007595367,0.00005365978,0.00007613122,0.00031371042,0.00146007,0.000062034196,0.0033535815,0.9919342,0.0013626147,0.00008045833],"about_ca_topic_score_codex":9.32065e-7,"about_ca_topic_score_gemma":7.0096144e-7,"teacher_disagreement_score":0.05379082,"about_ca_system_score_codex":0.00001921431,"about_ca_system_score_gemma":0.00006514431,"threshold_uncertainty_score":0.33173853},"labels":[],"label_agreement":null},{"id":"W2055762794","doi":"10.3934/era.2009.16.44","title":"Research announcement: The structure of groups with a quasiconvex hierarchy","year":2009,"lang":"en","type":"article","venue":"Electronic Research Announcements","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Hebrew University of Jerusalem","keywords":"Quasiconvex function; Mathematics; Hierarchy; Separable space; Group (periodic table); Pure mathematics; Combinatorics; Regular polygon; Convex analysis; Mathematical analysis; Geometry; Convex optimization","score_opus":0.08201714973938616,"score_gpt":0.41088274304777206,"score_spread":0.3288655933083859,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055762794","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9773238,0.0016356009,0.00071443804,0.006035175,0.00007713861,0.0019017821,0.00005501408,0.00006103434,0.012196034],"genre_scores_gemma":[0.9955582,0.00025349943,0.00033622212,0.00012899499,0.00018742651,0.00003477249,0.00003947044,0.000027616896,0.0034338129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99143136,0.0012751612,0.0005291811,0.0006207509,0.0035806058,0.002562955],"domain_scores_gemma":[0.9958807,0.0013381211,0.00015753,0.0011245877,0.0013203743,0.00017865203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0062029967,0.00026547734,0.00041771767,0.0009133938,0.00081490295,0.00010115694,0.0013943217,0.0001551288,0.0005167287],"category_scores_gemma":[0.00093302416,0.00016066655,0.000080988895,0.004340943,0.0010466272,0.00020602549,0.00021382808,0.0022551748,0.000039926286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000877576,0.00093940157,0.0014632457,0.00010943549,0.00034780113,0.000032111395,0.0024394519,0.000007672313,0.015814912,0.9402235,0.022869138,0.014875733],"study_design_scores_gemma":[0.0018535668,0.007817572,0.0015832753,0.000081807055,0.000021691916,0.000038977214,0.0024049443,0.0000569245,0.0035848978,0.93662494,0.04566483,0.00026654583],"about_ca_topic_score_codex":0.00008494462,"about_ca_topic_score_gemma":0.00013886682,"teacher_disagreement_score":0.02279569,"about_ca_system_score_codex":0.0004933818,"about_ca_system_score_gemma":0.0010669031,"threshold_uncertainty_score":0.97977376},"labels":[],"label_agreement":null},{"id":"W2056679748","doi":"10.4153/cmb-2004-034-x","title":"An Integral Formula on Seifert Bundles","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Codimension; Foliation (geology); Pure mathematics; Mathematical analysis","score_opus":0.030452466198022075,"score_gpt":0.2888038890127112,"score_spread":0.25835142281468915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056679748","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82775086,0.000050383656,0.016366467,0.024698583,0.00024644905,0.00068267965,0.00004713467,0.00031277054,0.12984468],"genre_scores_gemma":[0.9808074,0.0000016026119,0.014064205,0.002610164,0.00014119213,0.0000312686,0.0000103880375,0.00005126368,0.002282515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827987,0.000050490158,0.0003776589,0.00033532543,0.00024759563,0.0007090364],"domain_scores_gemma":[0.99801254,0.0003807802,0.000064675005,0.00055996666,0.000058999554,0.0009230137],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035993772,0.0002624309,0.0003859815,0.00036531914,0.00016831934,0.00006226615,0.00040777787,0.00021781644,0.014694789],"category_scores_gemma":[0.0013056452,0.00021578693,0.00012004606,0.00026672092,0.00015877147,0.00003672049,0.0000231599,0.00032270543,0.012127809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007060716,0.00018332596,0.000016512942,0.00004660827,0.000018979765,0.00007233243,0.0003178139,0.000006310452,0.000011988563,0.9903448,0.007871481,0.0011027796],"study_design_scores_gemma":[0.0005159707,0.0003050087,0.00011881422,0.00008014384,0.000024251549,0.0000907281,0.00043291922,0.000028356246,0.00025591766,0.9761188,0.021733113,0.00029595726],"about_ca_topic_score_codex":0.0012094183,"about_ca_topic_score_gemma":0.0021426743,"teacher_disagreement_score":0.15305655,"about_ca_system_score_codex":0.00028944845,"about_ca_system_score_gemma":0.00023990942,"threshold_uncertainty_score":0.9886414},"labels":[],"label_agreement":null},{"id":"W2057312011","doi":"10.1007/s00039-014-0305-4","title":"Lagrangian cobordism and Fukaya categories","year":2014,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","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":"Université de Montréal","funders":"","keywords":"Mathematics; Cobordism; Lagrangian; Morphism; Pure mathematics; Symplectic geometry; Functor; Symplectic manifold; Manifold (fluid mechanics); Algebra over a field","score_opus":0.01877958660457246,"score_gpt":0.23775890425910023,"score_spread":0.21897931765452777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057312011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.671673,0.0041531054,0.31280568,0.0018321963,0.00034106072,0.000109181914,0.000025125213,0.00015752719,0.008903104],"genre_scores_gemma":[0.9930642,0.00012446642,0.0009798271,0.0001416791,0.0001734177,0.000007782023,0.000025087733,0.0000098558585,0.005473637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894965,0.00004038007,0.0002296731,0.00032786358,0.00023141576,0.00022101338],"domain_scores_gemma":[0.99875706,0.0008102793,0.00006997319,0.00015443157,0.00007862773,0.00012961686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046833663,0.00015150338,0.00037002834,0.0023500833,0.00017533873,0.000059253714,0.00005051934,0.00009902139,0.0004848758],"category_scores_gemma":[0.0005190644,0.000116806536,0.00013786067,0.0059298608,0.00014392976,0.000068801375,0.000070814356,0.00012195602,0.000049070357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032320022,0.00012425115,0.122342125,0.00014377022,0.00339253,0.000006857492,0.00022736423,0.00004445644,0.000015164909,0.80065674,0.01082308,0.062191363],"study_design_scores_gemma":[0.00066538114,0.00017521941,0.4417981,0.000005307246,0.0046954406,0.000052853597,0.0005866573,0.0028501565,0.000016476824,0.511327,0.03734939,0.00047803184],"about_ca_topic_score_codex":0.00012264319,"about_ca_topic_score_gemma":0.00003544025,"teacher_disagreement_score":0.32139122,"about_ca_system_score_codex":0.000012885115,"about_ca_system_score_gemma":0.00001096599,"threshold_uncertainty_score":0.530905},"labels":[],"label_agreement":null},{"id":"W2057361225","doi":"10.1515/jgt.2011.098","title":"Recalcitrance in groups II","year":2011,"lang":"en","type":"article","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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; Conjecture; Pure mathematics; Mathematics education; Algebra over a field","score_opus":0.05943452403994239,"score_gpt":0.28306194838268683,"score_spread":0.22362742434274444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057361225","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97334653,0.00052804395,0.0126322415,0.000093914045,0.00044085368,0.000053004045,5.959664e-7,0.000011027333,0.012893786],"genre_scores_gemma":[0.9903508,0.00004805124,0.00883345,0.00013115437,0.00014702222,0.0000010898734,8.055143e-8,0.000013035178,0.00047535094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889374,0.00017313677,0.0005020934,0.00008055612,0.0001530469,0.000197412],"domain_scores_gemma":[0.9989863,0.00041550866,0.00033397487,0.00014566572,0.00005026667,0.0000682626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019607097,0.00009367904,0.00029861447,0.0003313185,0.000039574843,0.000003766483,0.00026738486,0.0000877042,0.0006853631],"category_scores_gemma":[0.0006264043,0.00007046674,0.000119732846,0.00030627433,0.000087633176,0.0001333503,0.000043699398,0.00032440654,0.000011420406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021924007,0.00037224265,0.0018013633,0.000020909738,0.000038027956,0.00012697479,0.0030302259,1.8651201e-7,0.00024594407,0.98614776,0.00054619566,0.0074509545],"study_design_scores_gemma":[0.0006687322,0.00036736944,0.009232325,0.000045838675,0.000021553888,0.00023371329,0.00059694785,0.0000016185512,0.00028458028,0.9878859,0.00057932205,0.00008212728],"about_ca_topic_score_codex":0.0000031362993,"about_ca_topic_score_gemma":0.000005553785,"teacher_disagreement_score":0.017004231,"about_ca_system_score_codex":0.00003103781,"about_ca_system_score_gemma":0.000019962055,"threshold_uncertainty_score":0.7504245},"labels":[],"label_agreement":null},{"id":"W2057923619","doi":"10.1142/s021821651550008x","title":"Bridge numbers for virtual and welded knots","year":2015,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; Gauss; Knot theory; Knot (papermaking); Conjecture; Combinatorics; Bridge (graph theory); Bounded function; Physics; Mathematical analysis; Engineering; Quantum mechanics","score_opus":0.08694703332155193,"score_gpt":0.34646927956442974,"score_spread":0.2595222462428778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057923619","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95375633,0.0013272613,0.04132428,0.0019193768,0.00033116716,0.00019043709,0.000019115907,0.000015319234,0.0011166808],"genre_scores_gemma":[0.9959116,0.00009959558,0.0016079942,0.00010460961,0.00015858433,0.0000041370863,0.0000013776161,0.000009770381,0.002102335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992662,0.000117014504,0.00031599647,0.00008756944,0.00009546872,0.000117721145],"domain_scores_gemma":[0.9979521,0.001308251,0.0002468566,0.00009518266,0.00023604951,0.00016157307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013774453,0.00007942369,0.00020225039,0.00014507816,0.000099508296,0.00002340916,0.00009895726,0.00006573942,0.000027309203],"category_scores_gemma":[0.0031014597,0.000062513645,0.000050544313,0.00013539437,0.00008647585,0.00013371525,0.000021469888,0.000117725685,0.0000048012835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009755273,0.00008761544,0.00005782102,0.00001676387,0.00005229005,0.0000013665909,0.0011712657,0.0000016818723,0.00018667009,0.9879443,0.0051333285,0.005249315],"study_design_scores_gemma":[0.0015404244,0.00041835508,0.002309761,0.000026973463,0.00015145056,0.0002977087,0.0022240074,0.00008992597,0.00034815876,0.9737879,0.01867455,0.00013076045],"about_ca_topic_score_codex":5.968972e-7,"about_ca_topic_score_gemma":9.537432e-7,"teacher_disagreement_score":0.042155236,"about_ca_system_score_codex":0.00001401767,"about_ca_system_score_gemma":0.00007091863,"threshold_uncertainty_score":0.37129608},"labels":[],"label_agreement":null},{"id":"W2059859881","doi":"10.2140/gt.2013.17.925","title":"On the equivalence of Legendrian and transverse invariants in knot Floer homology","year":2013,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Floer homology; Mathematics; Knot (papermaking); Invariant (physics); Transverse plane; Pure mathematics; Homology (biology); Knot invariant; Combinatorics; Knot theory; Symplectic geometry; Mathematical physics","score_opus":0.03850104367032793,"score_gpt":0.27691355798445616,"score_spread":0.23841251431412824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059859881","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9884094,0.00020552978,0.000796769,0.005396581,0.00040189447,0.00041774494,0.000009248598,0.000022835555,0.0043399995],"genre_scores_gemma":[0.997922,0.000060001512,0.0007912912,0.0005543375,0.00004409986,0.000055700057,0.00000160919,0.000016310863,0.00055464474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982558,0.00027889546,0.00045756757,0.00036290314,0.00013651614,0.0005083219],"domain_scores_gemma":[0.99632573,0.00291275,0.00014551706,0.00048774414,0.00005184072,0.00007641392],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00056234404,0.00019171453,0.00047974405,0.0006482447,0.00006820819,0.000008786555,0.0003994835,0.00026345745,0.006453914],"category_scores_gemma":[0.0014793506,0.00013710093,0.000065575136,0.0008177445,0.0007136654,0.00007252628,0.00013476714,0.00034438385,0.00015577817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027966065,0.00024137498,0.007133466,0.00006661741,0.00006306631,0.000031829062,0.0008654626,0.0000040589975,0.0014583055,0.9824088,0.0020879281,0.0056110946],"study_design_scores_gemma":[0.0015891729,0.0008104617,0.0637435,0.000033805914,0.00005041251,0.00021813542,0.0017808023,0.00007900196,0.0027417722,0.92760867,0.0010036858,0.0003405734],"about_ca_topic_score_codex":0.00059006695,"about_ca_topic_score_gemma":0.00010336738,"teacher_disagreement_score":0.05661004,"about_ca_system_score_codex":0.000024156361,"about_ca_system_score_gemma":0.00003837875,"threshold_uncertainty_score":0.9944543},"labels":[],"label_agreement":null},{"id":"W2059884823","doi":"10.1142/s0218216508006567","title":"A NOTE ON FUNDAMENTAL GROUPS OF SYMPLECTIC TORUS COMPLEMENTS IN 4-MANIFOLDS","year":2008,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Türkiye Bilimler Akademisi; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; McMaster University","keywords":"Mathematics; Fibered knot; Symplectic geometry; Torus; Isotopy; Knot (papermaking); Pure mathematics; Homology (biology); Tricolorability; Fundamental group; Knot invariant; Knot complement; Combinatorics; Knot theory; Geometry","score_opus":0.06054319426396268,"score_gpt":0.33382382820671547,"score_spread":0.2732806339427528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059884823","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99689883,0.00025382818,0.0015241713,0.0002641305,0.000113663744,0.00010936216,0.000010406481,0.0000047779863,0.00082080526],"genre_scores_gemma":[0.9990557,0.00014211635,0.0004371857,0.00006631275,0.000048201346,0.0000023667599,0.0000012842993,0.000007679117,0.00023914516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989142,0.00018456634,0.0005255357,0.00008523105,0.00016048705,0.00013002231],"domain_scores_gemma":[0.9983357,0.0010298379,0.00037129765,0.000115812196,0.000087473534,0.000059863232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007099725,0.00008570166,0.0002555257,0.00035147046,0.00010183414,0.000005267793,0.0001352687,0.000047456175,0.00018248077],"category_scores_gemma":[0.00064260105,0.00007034628,0.00006567311,0.0003012982,0.000082268656,0.000085245985,0.00002283805,0.0001667523,0.000007104864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116910676,0.00058223034,0.0016350027,0.00003099309,0.000048402115,0.000012647157,0.00225718,0.000006242956,0.0013533278,0.99305594,0.00022618253,0.00067491946],"study_design_scores_gemma":[0.0028982705,0.0012845626,0.10940398,0.0001555823,0.0001216388,0.00072516216,0.0026851192,0.000102683516,0.0019092045,0.8793092,0.0011666742,0.00023791815],"about_ca_topic_score_codex":0.0000016230425,"about_ca_topic_score_gemma":0.0000043438135,"teacher_disagreement_score":0.11374676,"about_ca_system_score_codex":0.000042916017,"about_ca_system_score_gemma":0.00004989198,"threshold_uncertainty_score":0.2868638},"labels":[],"label_agreement":null},{"id":"W2060226554","doi":"10.4171/cmh/257","title":"Current twisting and nonsingular matrices","year":2012,"lang":"en","type":"preprint","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Invertible matrix; Rank (graph theory); Automorphism; Mathematics; Action (physics); Pure mathematics; Matrix (chemical analysis); Automorphism group; Group (periodic table); Combinatorics; Algebra over a field; Physics; Chemistry; Quantum mechanics","score_opus":0.10996637528662015,"score_gpt":0.3685532163529282,"score_spread":0.258586841066308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060226554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87870884,0.041657753,0.058882322,0.004115599,0.004543935,0.003315172,0.00015636512,0.000878112,0.0077418825],"genre_scores_gemma":[0.8904643,0.0009151164,0.10613661,0.00056040025,0.0010052848,0.00023093919,0.00009750336,0.00022714828,0.0003626594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964521,0.0002261688,0.001171307,0.00069333985,0.0005451818,0.00091190543],"domain_scores_gemma":[0.99544466,0.0020528492,0.00093453407,0.0011108886,0.00012055439,0.00033650364],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012462698,0.00077047624,0.0013101066,0.00048632556,0.000276991,0.00018598975,0.0006501867,0.00041134006,0.00063370797],"category_scores_gemma":[0.00097580627,0.00069803494,0.00025471102,0.00027809155,0.00028830022,0.00009554902,0.0025833799,0.0012697725,0.000120616714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006126286,0.0050622774,0.007936293,0.031756677,0.001957308,0.00007959319,0.02695632,0.000008918732,0.00018699841,0.7760936,0.074569695,0.07533103],"study_design_scores_gemma":[0.000761536,0.000068506815,0.00042557926,0.0017135284,0.0013628403,0.00014159257,0.0010513014,0.0006297884,0.00029148627,0.9811708,0.011205344,0.0011777318],"about_ca_topic_score_codex":0.00008735924,"about_ca_topic_score_gemma":0.000014878488,"teacher_disagreement_score":0.20507714,"about_ca_system_score_codex":0.00018085321,"about_ca_system_score_gemma":0.00008902768,"threshold_uncertainty_score":0.99954706},"labels":[],"label_agreement":null},{"id":"W2060417754","doi":"10.1016/j.jalgebra.2005.10.001","title":"Some metric properties of automorphisms of groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Metric (unit); Automorphisms of the symmetric and alternating groups; Algebra over a field","score_opus":0.04013903113986162,"score_gpt":0.2710431850313478,"score_spread":0.23090415389148616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060417754","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9930231,0.0046016583,0.0006874224,0.0010670073,0.00025435575,0.00008236784,0.000002348215,0.000011317796,0.000270409],"genre_scores_gemma":[0.9869242,0.00017278631,0.012101191,0.00006891571,0.0003857079,7.923544e-7,1.5600341e-7,0.000016926362,0.00032932585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811167,0.00007035351,0.0010600933,0.000086161315,0.0004709883,0.00020075886],"domain_scores_gemma":[0.9979037,0.00026234044,0.001231474,0.00019903827,0.00031723158,0.00008621657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007448263,0.00012946686,0.00064611697,0.0009169293,0.000025848483,0.000006668957,0.00033537074,0.00010269176,0.0002747494],"category_scores_gemma":[0.0010604886,0.00009006088,0.00024691343,0.00071674475,0.00015356456,0.00025087973,0.000059909726,0.00022454708,0.0000130593435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040786946,0.0035389187,0.0052254824,0.0012927674,0.0016415239,0.00008147737,0.0047648144,0.0001530718,0.06842055,0.8326222,0.029524723,0.05232664],"study_design_scores_gemma":[0.0043308595,0.0025772748,0.00992183,0.00050018344,0.0006537099,0.0009724309,0.0011971862,0.00021844286,0.38115597,0.5938363,0.0041554496,0.0004803913],"about_ca_topic_score_codex":0.0000072251105,"about_ca_topic_score_gemma":0.000001533909,"teacher_disagreement_score":0.3127354,"about_ca_system_score_codex":0.000042077332,"about_ca_system_score_gemma":0.00010796987,"threshold_uncertainty_score":0.3672576},"labels":[],"label_agreement":null},{"id":"W2060525299","doi":"10.4153/cmb-2013-013-2","title":"Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Isospectral; Mathematics; Pure mathematics; Isometry (Riemannian geometry); Representation (politics); Group (periodic table)","score_opus":0.029123901210574215,"score_gpt":0.26578243493621656,"score_spread":0.23665853372564236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060525299","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9405379,0.00013984386,0.002767185,0.012518341,0.000117820506,0.0007254379,0.00001154157,0.00010360349,0.043078315],"genre_scores_gemma":[0.9811163,0.000011381168,0.0073959813,0.0003658945,0.00013013335,0.0000800507,0.000008057902,0.000041383548,0.010850824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981896,0.000079260346,0.00043567442,0.00037445192,0.0002362367,0.0006847287],"domain_scores_gemma":[0.9982665,0.00045754944,0.00009061508,0.00039835463,0.00006993519,0.00071703625],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002803508,0.00023334284,0.0003886652,0.00025460144,0.00014452355,0.000112269954,0.00021547555,0.0001777755,0.04706152],"category_scores_gemma":[0.00081424596,0.00020824793,0.000089404995,0.00026630858,0.00016954982,0.00006444912,0.00006752101,0.00022095598,0.009794863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000040156488,0.000058574613,0.0008894822,0.00018180664,0.000064139596,0.000050555198,0.00048792193,4.4729475e-7,0.00010317828,0.8783696,0.11811493,0.0016753143],"study_design_scores_gemma":[0.0006137473,0.00012620096,0.0051265853,0.00005577633,0.00007286481,0.00019224326,0.0011151938,0.00030451742,0.00014572375,0.9845028,0.0073112044,0.00043312478],"about_ca_topic_score_codex":0.0023719822,"about_ca_topic_score_gemma":0.0007203438,"teacher_disagreement_score":0.11080373,"about_ca_system_score_codex":0.00013135288,"about_ca_system_score_gemma":0.000064745625,"threshold_uncertainty_score":0.99097615},"labels":[],"label_agreement":null},{"id":"W2060670182","doi":"10.1016/j.aim.2012.03.013","title":"Ergodic properties of boundary actions and the Nielsen–Schreier theory","year":2012,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Canada Research Chairs; Royal Swedish Academy of Sciences; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Ergodic theory; Boundary (topology); Ergodicity; Free group; Pure mathematics; Measure (data warehouse); Graph; Geodesic; Combinatorics; Discrete mathematics; Group (periodic table); Mathematical analysis","score_opus":0.03971354115354946,"score_gpt":0.30928675713116877,"score_spread":0.2695732159776193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060670182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8966294,0.045901246,0.017288469,0.00045252024,0.0005011987,0.00070766086,0.0000049683376,0.00006958379,0.03844497],"genre_scores_gemma":[0.9854511,0.0010910659,0.0124394735,0.000046090936,0.00006011053,0.00004295588,2.947383e-7,0.000017146796,0.00085176306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896836,0.00012135373,0.000392705,0.00009682133,0.0001652113,0.00025551819],"domain_scores_gemma":[0.9978867,0.0015449467,0.00019714618,0.00029821089,0.000034050146,0.00003892633],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011930766,0.00012933616,0.00034509148,0.000120570636,0.00009639415,0.0000108564645,0.00016350883,0.00006417942,0.00009026594],"category_scores_gemma":[0.0015322287,0.00007356633,0.000054515698,0.0002722493,0.00079491845,0.00028472955,0.00009137016,0.00017341114,0.000009476914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024675277,0.00017805352,0.00057504803,0.00035542593,0.000023967574,4.5912105e-7,0.0050864415,0.0000023476782,0.00004776872,0.9898697,0.000033115623,0.0038030068],"study_design_scores_gemma":[0.00061339524,0.000017045428,0.00015406356,0.000103560866,0.000053740823,0.00005127064,0.005278223,0.000065967004,0.00075522467,0.98985696,0.0029430718,0.00010748376],"about_ca_topic_score_codex":0.000002167368,"about_ca_topic_score_gemma":0.000005871501,"teacher_disagreement_score":0.08882172,"about_ca_system_score_codex":0.000015790289,"about_ca_system_score_gemma":0.0000214038,"threshold_uncertainty_score":0.2999948},"labels":[],"label_agreement":null},{"id":"W2060725822","doi":"10.4171/ggd/302","title":"Pseudo-Anosov subgroups of fibered 3-manifold groups","year":2014,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Fibered knot; 3-manifold; Generalization; Relatively hyperbolic group; Convexity; Group (periodic table); Pure mathematics; Manifold (fluid mechanics); Hyperbolic manifold; Surface (topology); Hyperbolic group; Combinatorics; Mapping class group; Fundamental group; Mathematical analysis; Geometry; Hyperbolic function; Physics","score_opus":0.019863564075271168,"score_gpt":0.2637840957160317,"score_spread":0.2439205316407605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060725822","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93361706,0.0007767266,0.058913484,0.00031827833,0.0015687941,0.00064376177,0.00036852894,0.00022616994,0.0035672174],"genre_scores_gemma":[0.98606795,0.00038768817,0.01115361,0.00014921068,0.00045493862,0.000046482066,0.00037736783,0.00012422644,0.0012385414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99564445,0.00024338397,0.0014232604,0.0011735996,0.00064970145,0.0008656308],"domain_scores_gemma":[0.9950991,0.0015901247,0.0011931346,0.0015485389,0.000244543,0.0003245348],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0011939186,0.0008761721,0.001928761,0.0013072313,0.0001825661,0.00009475893,0.00093201187,0.0014954614,0.00028184513],"category_scores_gemma":[0.0011178908,0.0008521261,0.0004999642,0.0009962458,0.00038162558,0.00011452866,0.0019048396,0.0014365617,0.000030303701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114636896,0.0005479243,0.01473545,0.004162312,0.00061972294,0.000046556193,0.00050892314,0.00011525162,0.000044354285,0.970507,0.0016710821,0.0069267903],"study_design_scores_gemma":[0.0014057064,0.00041029393,0.012373606,0.0003248171,0.00061471225,0.00016206867,0.0005894041,0.01832345,0.00007051657,0.9640614,0.0003233528,0.0013406847],"about_ca_topic_score_codex":0.00014429618,"about_ca_topic_score_gemma":0.00012285334,"teacher_disagreement_score":0.052450895,"about_ca_system_score_codex":0.0001509813,"about_ca_system_score_gemma":0.000096328906,"threshold_uncertainty_score":0.9998008},"labels":[],"label_agreement":null},{"id":"W2060909737","doi":"10.1112/s0010437x14007350","title":"Separability of embedded surfaces in 3-manifolds","year":2014,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki; Fundacja na rzecz Nauki Polskiej","keywords":"Separable space; Surface (topology); Algebra over a field; Topology (electrical circuits); Smooth surface","score_opus":0.030302395392198818,"score_gpt":0.3106310574655705,"score_spread":0.2803286620733717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060909737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9552435,0.000034853172,0.012895154,0.0002140183,0.00006691829,0.00024966744,0.0000042280767,0.00006746368,0.03122416],"genre_scores_gemma":[0.96446425,0.0000019469094,0.035232857,0.000032705255,0.000020559955,0.000014627833,0.0000024084304,0.000016212789,0.00021445523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985195,0.00016769845,0.0006168505,0.000221219,0.00021745266,0.0002573155],"domain_scores_gemma":[0.99739385,0.0017661223,0.00020093049,0.0005103071,0.00006684268,0.000061959276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086421095,0.00015759318,0.00056636863,0.00018289662,0.000036022186,0.000011478036,0.00027264026,0.000100381854,0.0004253114],"category_scores_gemma":[0.00073943904,0.00013723789,0.00009694815,0.00037609294,0.00014555792,0.00005866119,0.00008237958,0.00011893497,0.00006468915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023035125,0.0008889019,0.002340625,0.00089467183,0.000039886752,0.0000038378735,0.0017339516,0.000027914684,0.0029741803,0.98962295,0.00087739987,0.0005726347],"study_design_scores_gemma":[0.0005607884,0.00012486489,0.0037895646,0.00010561293,0.00003199158,0.000024171324,0.00020001968,0.003446694,0.0039841854,0.9874437,0.000107822656,0.00018061593],"about_ca_topic_score_codex":0.0000104361125,"about_ca_topic_score_gemma":0.000009844407,"teacher_disagreement_score":0.031009704,"about_ca_system_score_codex":0.000027520426,"about_ca_system_score_gemma":0.000020008614,"threshold_uncertainty_score":0.5596399},"labels":[],"label_agreement":null},{"id":"W2061146554","doi":"10.1007/s10711-008-9267-8","title":"Goldman flows on a nonorientable surface","year":2008,"lang":"la","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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; Moduli space; Flow (mathematics); Surface (topology); Submanifold; Covering space; Cylinder; Pure mathematics; Mathematical analysis; Cover (algebra); Hyperbolic geometry; Space (punctuation); Geometry; Differential geometry; Computer science","score_opus":0.06765435210115386,"score_gpt":0.28577815993296085,"score_spread":0.218123807831807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061146554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9585846,0.0034724402,0.0017178801,0.0021890586,0.0031671145,0.0009941453,0.0004462056,0.0002511072,0.029177459],"genre_scores_gemma":[0.96399575,0.0017754863,0.004825396,0.00088231306,0.0012595921,0.00002657327,0.00033172444,0.00014812448,0.026755031],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9936479,0.0002912608,0.0013611148,0.0013754558,0.0014846029,0.0018396667],"domain_scores_gemma":[0.99337554,0.0025038454,0.0006537441,0.0023820768,0.0002261109,0.00085869926],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016547656,0.0008254891,0.0014502256,0.0018400036,0.0007625637,0.00008020264,0.0015581739,0.0007871085,0.012123576],"category_scores_gemma":[0.0052121086,0.0007855662,0.00047116564,0.00757394,0.00055265205,0.00023946045,0.0006509527,0.001175187,0.010249002],"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":[0.00047603983,0.005042062,0.012231275,0.00059833506,0.0012005301,0.0012439981,0.0024470128,0.0002533023,0.0002791988,0.03492037,0.93316525,0.008142612],"study_design_scores_gemma":[0.015273217,0.0042063952,0.012938725,0.00044777733,0.0010777685,0.0015080165,0.0018215096,0.002094701,0.0050783,0.018378595,0.9332654,0.0039095893],"about_ca_topic_score_codex":0.00043211368,"about_ca_topic_score_gemma":0.00003070576,"teacher_disagreement_score":0.016541772,"about_ca_system_score_codex":0.00028657907,"about_ca_system_score_gemma":0.000447649,"threshold_uncertainty_score":0.9994595},"labels":[],"label_agreement":null},{"id":"W2061588787","doi":"10.4153/cmb-2014-005-7","title":"The Rasmussen Invariant, Four-genus, and Three-genus of an Almost Positive Knot Are Equal","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Japan Society for the Promotion of Science","keywords":"Knot (papermaking); Knot invariant; Invariant (physics); Tricolorability; Link (geometry)","score_opus":0.028240301614718924,"score_gpt":0.24706828490614435,"score_spread":0.21882798329142544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061588787","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9081264,0.0003362707,0.020989234,0.038037352,0.0002550876,0.0011999178,0.0001956916,0.00009972964,0.03076028],"genre_scores_gemma":[0.99461454,0.000006012773,0.0032757942,0.0009710756,0.00013748373,0.000023755552,0.000006683146,0.000043825166,0.00092084426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981036,0.00022461514,0.00049503497,0.0003169978,0.00025066605,0.0006090675],"domain_scores_gemma":[0.99579036,0.0026664517,0.00020625052,0.0005594639,0.00013217563,0.00064530916],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011078023,0.00024309634,0.00049327995,0.00016390462,0.00031682602,0.000071819115,0.00039820385,0.0002032133,0.0016610462],"category_scores_gemma":[0.004039131,0.0001768155,0.00008102264,0.00023530329,0.0004633644,0.000033232114,0.00008670165,0.00028300018,0.00054376415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018170364,0.00006691126,0.00026456235,0.00012585518,0.00007456271,0.000050641254,0.00041213617,6.804998e-7,0.000021163562,0.9826052,0.009921691,0.0064383815],"study_design_scores_gemma":[0.00068888173,0.00028227226,0.0030153927,0.00012360758,0.00011570389,0.0002502797,0.00069814076,0.00086160237,0.00017350813,0.96413416,0.029251873,0.0004045607],"about_ca_topic_score_codex":0.0014607963,"about_ca_topic_score_gemma":0.008940908,"teacher_disagreement_score":0.08648809,"about_ca_system_score_codex":0.000058573387,"about_ca_system_score_gemma":0.0001421563,"threshold_uncertainty_score":0.99925154},"labels":[],"label_agreement":null},{"id":"W2061666650","doi":"10.1007/s00233-009-9202-9","title":"Examples concerning absolute flatness and amalgamation in pomonoids","year":2009,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Geometric and Algebraic Topology","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":"Wilfrid Laurier University","funders":"","keywords":"Flatness (cosmology); Mathematics; Absolute (philosophy); Algebra over a field; Pure mathematics; Arithmetic; Philosophy; Epistemology; Physics","score_opus":0.03417676132262456,"score_gpt":0.2961287695873331,"score_spread":0.26195200826470855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061666650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98946655,0.00057565275,0.0035763478,0.0011931482,0.00009089849,0.00015340366,0.0000024034098,0.00007927994,0.004862311],"genre_scores_gemma":[0.9960216,0.0000488901,0.0029390696,0.00025556952,0.000048273887,0.0000058773944,0.0000061248124,0.000010252011,0.000664301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907416,0.00003660571,0.0002567674,0.00019550319,0.000108432854,0.00032852578],"domain_scores_gemma":[0.99945533,0.00022987249,0.00009038757,0.00015202125,0.000019543433,0.000052851494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027676218,0.000120077566,0.00022061047,0.00018563186,0.00006587708,0.000024474299,0.00009453323,0.000109693785,0.0000561663],"category_scores_gemma":[0.000226209,0.000112708636,0.000030203424,0.00027795185,0.000046828027,0.00012917526,0.00003958716,0.00013753376,0.000011736131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005213159,0.00019158416,0.040629018,0.00013482594,0.000036761874,0.000055630007,0.004499237,0.00002622232,0.0028000106,0.8270309,0.005481806,0.11906189],"study_design_scores_gemma":[0.001772419,0.0003081267,0.17903234,0.00011532413,0.000028550714,0.000085842425,0.0030897253,0.0022742127,0.0007552022,0.8055809,0.0064795963,0.000477763],"about_ca_topic_score_codex":0.00006051155,"about_ca_topic_score_gemma":0.000084266554,"teacher_disagreement_score":0.13840333,"about_ca_system_score_codex":0.000031702508,"about_ca_system_score_gemma":0.000012491667,"threshold_uncertainty_score":0.4596125},"labels":[],"label_agreement":null},{"id":"W2061873078","doi":"10.1007/s10469-009-9051-3","title":"Partially commutative metabelian groups: centralizers and elementary equivalence","year":2009,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Commutative property; Pure mathematics; Equivalence (formal languages); Commutator; Nilpotent group; Nilpotent; Algebra over a field","score_opus":0.04495821952066756,"score_gpt":0.31486502428713553,"score_spread":0.269906804766468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061873078","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898544,0.0021797526,0.0018886357,0.0039383895,0.00008220574,0.00022925805,0.000008195298,0.000078925594,0.0017402278],"genre_scores_gemma":[0.99190146,0.0005019058,0.0050541908,0.0023285295,0.000041935982,0.0000055085493,0.0000065742242,0.000007366302,0.00015253574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989129,0.00009939363,0.00024108082,0.00025811192,0.00012879715,0.0003597491],"domain_scores_gemma":[0.99928796,0.00030255702,0.0000899359,0.00016224463,0.000023284378,0.00013400114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025784015,0.0001716567,0.00028455828,0.00009433333,0.00014480531,0.000031920485,0.00012010225,0.00007087469,0.0002694746],"category_scores_gemma":[0.00013205716,0.00013520912,0.000041000596,0.00020832705,0.00018289793,0.00011654745,0.000062603394,0.00013424331,0.000010890708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026806683,0.00013643508,0.004303684,0.000036269445,0.00007772276,0.00004054211,0.0013221606,4.5847824e-7,0.00028214254,0.9668089,0.0017176389,0.025247198],"study_design_scores_gemma":[0.00069635775,0.00047479657,0.022055315,0.000015351296,0.00010294709,0.00004826471,0.0011978741,0.000033006363,0.0002983738,0.9740376,0.00082591793,0.00021423188],"about_ca_topic_score_codex":0.000023158169,"about_ca_topic_score_gemma":0.000014774226,"teacher_disagreement_score":0.025032965,"about_ca_system_score_codex":0.000011284554,"about_ca_system_score_gemma":0.000012222106,"threshold_uncertainty_score":0.5513668},"labels":[],"label_agreement":null},{"id":"W2062634735","doi":"10.4171/ggd/215","title":"Positive speed for high-degree automaton groups","year":2014,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Mathematics; Degree (music); Deterministic automaton; Automaton; Büchi automaton; Discrete mathematics; Pure mathematics; Combinatorics; Finite-state machine; Theoretical computer science; Algorithm; Computer science; Physics","score_opus":0.019029076937180762,"score_gpt":0.25985638288414875,"score_spread":0.240827305946968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062634735","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7682082,0.000070835056,0.22801068,0.0005656752,0.00046105136,0.00035448305,0.00010217256,0.00018054833,0.0020463227],"genre_scores_gemma":[0.9817044,0.000017322049,0.016366541,0.00030827822,0.00028161015,0.000016420987,0.00012410115,0.00004744454,0.0011338415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832034,0.000074148185,0.00039712893,0.00045842805,0.00021059337,0.0005393869],"domain_scores_gemma":[0.99743545,0.0017165004,0.00019791699,0.00037127247,0.00010450533,0.00017436105],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006741183,0.00029595944,0.000531157,0.00045075038,0.0002495809,0.000058992875,0.00023306519,0.00028389652,0.00006617086],"category_scores_gemma":[0.0009993213,0.0002693569,0.00012130316,0.0006559416,0.0001718749,0.00014148248,0.00014480994,0.00021818497,0.000024667954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004958834,0.00012421895,0.0022376366,0.00014761521,0.00007672626,0.000004144508,0.00012571334,0.000004457937,0.00002595624,0.9735166,0.0005629966,0.023124356],"study_design_scores_gemma":[0.0019493945,0.0006402633,0.028811209,0.000034613848,0.00015155016,0.000092133225,0.00041375172,0.029814575,0.00010082907,0.9371176,0.000351043,0.0005230432],"about_ca_topic_score_codex":0.000039590734,"about_ca_topic_score_gemma":0.000048133028,"teacher_disagreement_score":0.21349621,"about_ca_system_score_codex":0.000071220216,"about_ca_system_score_gemma":0.000017393431,"threshold_uncertainty_score":0.99997586},"labels":[],"label_agreement":null},{"id":"W2062902318","doi":"10.1007/s00039-015-0314-y","title":"Cubulating hyperbolic free-by-cyclic groups: the general case","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":60,"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; National Science Foundation","keywords":"Mathematics; Automorphism; Rank (graph theory); Free group; Word (group theory); Combinatorics; Automorphism group; Cyclic group; Hyperbolic group; Cube (algebra); Group (periodic table); Hyperbolic manifold; Pure mathematics; Hyperbolic function; Mathematical analysis; Geometry; Physics","score_opus":0.057304366916154384,"score_gpt":0.27973182178184514,"score_spread":0.22242745486569077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062902318","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95189655,0.0044732206,0.040180355,0.001152498,0.00026503982,0.00009567536,0.000040813982,0.000083621715,0.0018122429],"genre_scores_gemma":[0.9917399,0.000035897043,0.0012140715,0.00024346558,0.00044746898,0.00002058978,0.000034462508,0.000016808175,0.006247308],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984063,0.00008773475,0.00037129855,0.00037361376,0.00043631898,0.0003247221],"domain_scores_gemma":[0.99827427,0.0008825346,0.00012852659,0.00037554867,0.00013244506,0.00020667206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083823886,0.00020097801,0.00038854187,0.0016003324,0.0002762183,0.00008344682,0.00014769263,0.000112939226,0.00038427883],"category_scores_gemma":[0.0013365439,0.0001271448,0.00023910412,0.009567732,0.00013122948,0.00009156927,0.00018303026,0.00022639662,0.00006864248],"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":[0.00011189882,0.00076434005,0.14175929,0.00013033111,0.014097892,0.0011650556,0.001485222,0.002044334,0.00007380376,0.23173256,0.55678874,0.049846537],"study_design_scores_gemma":[0.0039864294,0.00054730265,0.044714198,0.000014666568,0.018035296,0.009241897,0.007353459,0.042857196,0.000063197556,0.8174577,0.053896986,0.0018316683],"about_ca_topic_score_codex":0.0006512105,"about_ca_topic_score_gemma":0.00005361055,"teacher_disagreement_score":0.5857251,"about_ca_system_score_codex":0.000051415995,"about_ca_system_score_gemma":0.000030918913,"threshold_uncertainty_score":0.51848143},"labels":[],"label_agreement":null},{"id":"W2063018524","doi":"10.1016/j.aim.2007.11.016","title":"The chromatic polynomial of fatgraphs and its categorification","year":2008,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Comisión Nacional de Investigación Científica y Tecnológica","keywords":"Khovanov homology; Mathematics; Categorification; Chromatic polynomial; Tutte polynomial; Cellular homology; Combinatorics; Homology (biology); Bracket polynomial; Relative homology; Chromatic scale; Discrete mathematics; Graph; Pure mathematics; Polynomial; Line graph; Voltage graph; Matrix polynomial; Topology (electrical circuits); Alternating polynomial; Mathematical analysis","score_opus":0.0306721289149246,"score_gpt":0.302240577960152,"score_spread":0.2715684490452274,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063018524","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98486733,0.0076075327,0.0026148525,0.00017585498,0.00016010947,0.00035466196,0.000003026415,0.000035699773,0.0041809166],"genre_scores_gemma":[0.9856089,0.0038448675,0.010086537,0.0000081554435,0.000025578795,0.000024624978,7.417312e-7,0.000013384967,0.00038721145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897504,0.00003880386,0.00049142767,0.00012710718,0.00017417119,0.00019345967],"domain_scores_gemma":[0.9979111,0.0014758016,0.00028016922,0.00025323805,0.00004815844,0.000031545915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034255977,0.00011522904,0.0002704618,0.00012486262,0.00012507071,0.000005623661,0.00019918429,0.00005954129,0.000016070118],"category_scores_gemma":[0.0009929445,0.000078742036,0.000037471902,0.00039004342,0.00022685048,0.00012880842,0.0000421713,0.00010313193,0.0000071894556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014320939,0.0003287429,0.001891123,0.0007996084,0.000034867116,0.000010280784,0.005340254,0.000014033089,0.00049423805,0.98302954,0.00036950374,0.0076734987],"study_design_scores_gemma":[0.00057784776,0.00008106193,0.002214575,0.000068663816,0.000027615946,0.00014310323,0.0016870806,0.0015159606,0.0023227378,0.98977506,0.001394617,0.00019168116],"about_ca_topic_score_codex":0.0000025781944,"about_ca_topic_score_gemma":0.000012252875,"teacher_disagreement_score":0.0074818176,"about_ca_system_score_codex":0.000015461877,"about_ca_system_score_gemma":0.000024076948,"threshold_uncertainty_score":0.32110068},"labels":[],"label_agreement":null},{"id":"W2063741140","doi":"10.1016/s0166-8641(02)00054-8","title":"New developments in the theory of Artin's braid groups","year":2003,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Braid group; Braid; Braid theory; Pure mathematics; Algebra over a field","score_opus":0.03614883680998759,"score_gpt":0.29853078290988744,"score_spread":0.26238194609989984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063741140","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.800996,0.0018964125,0.098648205,0.0034415792,0.00010107697,0.0011082926,0.00000696161,0.00004849692,0.09375297],"genre_scores_gemma":[0.9946789,0.000043542,0.0035435131,0.0002355433,0.000016824866,0.000069343994,0.0000017088713,0.000004435387,0.0014061851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937433,0.00011711064,0.00020015339,0.00012199738,0.00004888971,0.00013752686],"domain_scores_gemma":[0.9989236,0.00079532375,0.000072628296,0.00016178653,0.000018416478,0.00002822088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045629736,0.00006546427,0.00012864322,0.00008786159,0.00007458145,0.0000027882345,0.00013588696,0.00007821194,0.00025641176],"category_scores_gemma":[0.00027827275,0.000046750723,0.000017179764,0.00031472632,0.000091367554,0.000023248462,0.000020847216,0.00010003267,0.000022898046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000025028748,0.000052462696,0.0014757045,0.000008275365,0.000008759746,3.1736042e-7,0.000648282,7.090409e-8,0.000065005675,0.99357337,0.0003874427,0.003777802],"study_design_scores_gemma":[0.00024220509,0.00002114668,0.011735291,0.000002143945,0.000013442408,0.000025236737,0.0009253147,4.6370886e-7,0.0007770129,0.96837467,0.017827066,0.00005603408],"about_ca_topic_score_codex":0.000004726715,"about_ca_topic_score_gemma":0.00001424059,"teacher_disagreement_score":0.1936829,"about_ca_system_score_codex":0.0000048593943,"about_ca_system_score_gemma":0.000043805616,"threshold_uncertainty_score":0.2807529},"labels":[],"label_agreement":null},{"id":"W2064093397","doi":"10.1112/s0010437x13007112","title":"Finiteness properties of cubulated groups","year":2014,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":39,"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":"Cube (algebra); Dual (grammatical number); Generality; Quasiconvex function; Dual polyhedron","score_opus":0.04923890909904135,"score_gpt":0.2677272939145,"score_spread":0.21848838481545865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064093397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94579685,0.00008565826,0.040509973,0.00032252775,0.00010774416,0.0002471226,0.000003002608,0.00014636533,0.012780768],"genre_scores_gemma":[0.985274,0.0000025673835,0.014159314,0.00006458513,0.000049084883,0.00002057292,0.0000028917643,0.000026100555,0.00040083958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877167,0.000100702324,0.00049040886,0.00017834581,0.0002210506,0.0002378166],"domain_scores_gemma":[0.9986441,0.0005250066,0.00020723326,0.00043766663,0.000119928605,0.00006604067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036677092,0.00016434792,0.00048074077,0.00017122392,0.000076051045,0.000016539154,0.00027536516,0.00009142618,0.00024522297],"category_scores_gemma":[0.000539905,0.00012601365,0.000099926496,0.00030935218,0.00017246659,0.000057824655,0.000090796224,0.00010053291,0.00010589824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022645374,0.00045706492,0.00009560002,0.0010655728,0.00008027015,0.0000024464669,0.0011017292,0.0000055128608,0.016953528,0.97859365,0.0007765086,0.0008454457],"study_design_scores_gemma":[0.0006793262,0.00018319671,0.0002720843,0.00036741773,0.00010794977,0.00006923452,0.00019826817,0.0032043385,0.04878573,0.9455265,0.00031681146,0.00028913506],"about_ca_topic_score_codex":0.000003615716,"about_ca_topic_score_gemma":5.948216e-7,"teacher_disagreement_score":0.039477207,"about_ca_system_score_codex":0.000013641854,"about_ca_system_score_gemma":0.000016708058,"threshold_uncertainty_score":0.51386875},"labels":[],"label_agreement":null},{"id":"W2064146303","doi":"10.1006/jsco.2002.0558","title":"Computing Modular Invariants of p-groups","year":2002,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Modular design; Algebra over a field; Pure mathematics; Programming language; Computer science","score_opus":0.062461931442986965,"score_gpt":0.3037447393709523,"score_spread":0.24128280792796536,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064146303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82525325,0.00018865726,0.17311685,0.00022658991,0.000257471,0.00005262527,6.4905544e-7,0.000009551145,0.000894333],"genre_scores_gemma":[0.98221743,0.000016620063,0.017486697,0.0000330499,0.00019363138,1.2936489e-7,4.0493285e-7,0.000009765821,0.000042286752],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987547,0.00007762245,0.0006865163,0.00007254013,0.00027771192,0.00013092419],"domain_scores_gemma":[0.9983746,0.00040595414,0.0008395163,0.00007865278,0.0002451268,0.000056189627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045341972,0.00008426859,0.00034818694,0.00035526702,0.00003983795,0.000011157373,0.00013367896,0.000059439033,0.00010918561],"category_scores_gemma":[0.00040686954,0.00007368947,0.00010278245,0.00039627697,0.000039019862,0.00009887802,0.00003225632,0.00015384873,0.000009190912],"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":[0.00012294488,0.0035731364,0.017806742,0.0009849195,0.0012662782,0.00031616198,0.029621247,0.03304052,0.0072774375,0.38319746,0.027069282,0.49572387],"study_design_scores_gemma":[0.0042136293,0.0009883193,0.06465962,0.00036826832,0.00024042283,0.0014624083,0.0019256553,0.22824714,0.0011614886,0.69597924,0.0003384908,0.0004153142],"about_ca_topic_score_codex":0.000004234592,"about_ca_topic_score_gemma":3.819798e-7,"teacher_disagreement_score":0.49530855,"about_ca_system_score_codex":0.000027045426,"about_ca_system_score_gemma":0.000016661443,"threshold_uncertainty_score":0.30049694},"labels":[],"label_agreement":null},{"id":"W2065138042","doi":"10.1007/s00224-008-9153-7","title":"The Solvability Problem for Quadratic Equations over Free Groups is NP-Complete","year":2008,"lang":"en","type":"article","venue":"Theory of Computing Systems","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Quadratic equation; Mathematics; NP-complete; Combinatorics; Group (periodic table); Applied mathematics; Time complexity; Physics; Geometry","score_opus":0.08172012897673582,"score_gpt":0.302626261127527,"score_spread":0.2209061321507912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065138042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5122903,0.00032960213,0.4835481,0.0002981714,0.0005073218,0.0010756884,0.000029946266,0.00010907947,0.0018117959],"genre_scores_gemma":[0.9948999,0.0000020776745,0.003975936,0.000050526596,0.00019399256,0.000031215553,0.0000026372545,0.000022915197,0.0008207667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979672,0.00042152012,0.00076884084,0.00023218512,0.0002648228,0.00034545903],"domain_scores_gemma":[0.98659307,0.011947488,0.0004916881,0.00073897693,0.00017988858,0.000048875885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030595534,0.00016400375,0.00044355795,0.00008732308,0.0006240328,0.000023576273,0.00051681715,0.000082809274,0.000021333524],"category_scores_gemma":[0.0019244647,0.00011453087,0.00016853893,0.0002614857,0.00035939264,0.000040716586,0.00011646158,0.00012082763,0.000010703768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020864953,0.0000744559,0.00039680646,0.0003222687,0.00008607128,4.5441274e-7,0.0037167699,0.00009287638,0.000055582714,0.9907061,0.004231166,0.00029658191],"study_design_scores_gemma":[0.00067774154,0.00013535668,0.00082526135,0.00007062336,0.000046816884,0.000029787238,0.00088029425,0.012045611,0.000045043646,0.98418283,0.00089840277,0.00016220789],"about_ca_topic_score_codex":0.00004135193,"about_ca_topic_score_gemma":0.000005767032,"teacher_disagreement_score":0.48260963,"about_ca_system_score_codex":0.000041535488,"about_ca_system_score_gemma":0.00006095827,"threshold_uncertainty_score":0.4799619},"labels":[],"label_agreement":null},{"id":"W2066618817","doi":"10.1016/s0166-8641(99)00062-0","title":"The cohomology ring of a class of Seifert manifolds","year":2000,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Cohomology; Manifold (fluid mechanics); Pure mathematics; Cohomology ring; Ring (chemistry); Class (philosophy); Orbit (dynamics); Equivariant cohomology; Topology (electrical circuits); Combinatorics; Computer science; Artificial intelligence; Chemistry","score_opus":0.02237181081798652,"score_gpt":0.2939827510141547,"score_spread":0.2716109401961682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066618817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9491492,0.0015962706,0.001588857,0.0028614015,0.00004024223,0.00038411538,0.000014266203,0.000031546362,0.04433412],"genre_scores_gemma":[0.99527067,0.00044978742,0.0004282242,0.000065384,0.000027298329,0.00006780449,0.0000017262942,0.0000055891796,0.0036835042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999375,0.00004720169,0.00026590086,0.00012110371,0.000044094195,0.00014673884],"domain_scores_gemma":[0.99877733,0.0008198527,0.00010367813,0.00022437757,0.000046531033,0.000028208873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018611067,0.000065625616,0.00018844543,0.000053065934,0.00014301609,0.0000016920867,0.0001577613,0.00011137391,0.0005499363],"category_scores_gemma":[0.00007171419,0.00004777189,0.00003173116,0.00018362627,0.00037142393,0.000015388912,0.00003475638,0.00008728479,0.0000198993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010470596,0.000054717882,0.00037196523,0.000021133503,0.000031815165,2.6798674e-7,0.00013685696,7.523643e-7,0.00018347314,0.9868177,0.00025808637,0.012112759],"study_design_scores_gemma":[0.0005437125,0.00017719335,0.0076419306,0.000006693493,0.00009601462,0.00012405991,0.000545742,0.00011382189,0.0027100807,0.9013712,0.08653543,0.0001341598],"about_ca_topic_score_codex":0.000018115426,"about_ca_topic_score_gemma":0.000020063913,"teacher_disagreement_score":0.08627734,"about_ca_system_score_codex":0.000004276154,"about_ca_system_score_gemma":0.0000195977,"threshold_uncertainty_score":0.60214174},"labels":[],"label_agreement":null},{"id":"W2067205873","doi":"10.1142/s0218216514500424","title":"The center of the virtual braid group is trivial","year":2014,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Braid group; Braid; Mathematics; Center (category theory); Group (periodic table); Combinatorics; Conjecture; Braid theory; Free group; Discrete mathematics; Crystallography; Physics","score_opus":0.019309222476702727,"score_gpt":0.2773080803683412,"score_spread":0.25799885789163846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067205873","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.973399,0.00063221395,0.014867005,0.0073314486,0.0007500399,0.00022250098,0.000016275644,0.000008346022,0.002773162],"genre_scores_gemma":[0.9974342,0.00011653142,0.000091010836,0.00022102754,0.00017263817,0.0000020475893,2.449053e-7,0.0000067577007,0.001955534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988434,0.00040597614,0.00041809378,0.00006460165,0.00015634183,0.00011164139],"domain_scores_gemma":[0.99666494,0.0024730004,0.00046448995,0.00021812077,0.0001326831,0.00004677979],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017585236,0.0000719117,0.00016562977,0.000070095244,0.0002603104,0.000019120353,0.0003280123,0.0000530423,0.00007986753],"category_scores_gemma":[0.002268332,0.00003500709,0.00012543055,0.00019880186,0.00019556431,0.00006916441,0.00004635068,0.00019939354,0.0000052192895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004267379,0.00010225465,0.000113482216,0.000007046056,0.000047623438,1.0049321e-7,0.0006501712,4.436249e-7,0.0007392597,0.9877602,0.0015304714,0.009006264],"study_design_scores_gemma":[0.00094436563,0.00026943744,0.007122444,0.000041073115,0.00011889428,0.0000985024,0.0010734454,0.000059048463,0.0021203298,0.9167585,0.07130337,0.000090631256],"about_ca_topic_score_codex":2.732589e-7,"about_ca_topic_score_gemma":0.0000012854352,"teacher_disagreement_score":0.071001746,"about_ca_system_score_codex":0.000007756389,"about_ca_system_score_gemma":0.000027726708,"threshold_uncertainty_score":0.2715569},"labels":[],"label_agreement":null},{"id":"W2067414917","doi":"10.3934/jmd.2008.2.249","title":"Spectral invariants in Lagrangian Floer theory","year":2008,"lang":"en","type":"article","venue":"Journal of Modern Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Submanifold; Floer homology; Hamiltonian (control theory); Lagrangian; Pure mathematics; Spectral sequence; Symplectic geometry; Homology (biology); Mathematical analysis; Mathematical physics; Cohomology","score_opus":0.029897257633209745,"score_gpt":0.2687260060424875,"score_spread":0.23882874840927773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067414917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92350495,0.00019329898,0.07262382,0.0003806514,0.00024950822,0.000054688157,0.0000035075989,0.000009843831,0.0029797445],"genre_scores_gemma":[0.98908347,0.000090112786,0.009499438,0.00009881056,0.00013161161,3.386157e-7,7.9040007e-7,0.00001909685,0.0010763366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880046,0.00010382709,0.0005035816,0.00009370346,0.00024728835,0.00025113352],"domain_scores_gemma":[0.99906826,0.00032856048,0.0002903877,0.00015504548,0.00007336126,0.00008440284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066912046,0.00011718579,0.00034266248,0.00040884924,0.000039754817,0.000008201902,0.00025586478,0.00011689218,0.00011449518],"category_scores_gemma":[0.00044224918,0.00009512475,0.00012948099,0.00027581924,0.000078295976,0.00012822488,0.000036030524,0.00040231564,0.000011940315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039316042,0.0015929576,0.105479605,0.00010553507,0.00037308218,0.004324046,0.006526583,0.0014590258,0.00020185158,0.85249275,0.002486343,0.024565082],"study_design_scores_gemma":[0.0010572202,0.00012029845,0.027779246,0.000030151286,0.00002814783,0.0019198902,0.00015292427,0.011639672,0.000021892318,0.957073,0.000046257428,0.00013132574],"about_ca_topic_score_codex":0.000006757315,"about_ca_topic_score_gemma":0.00007696109,"teacher_disagreement_score":0.104580246,"about_ca_system_score_codex":0.00013005383,"about_ca_system_score_gemma":0.00010746366,"threshold_uncertainty_score":0.38790745},"labels":[],"label_agreement":null},{"id":"W2068497741","doi":"10.3166/jesa.37.145-159","title":"Contrôle du trafic sur les réseaux à géométrie hyperbolique. Vers une théorie géométrique de la sécurité de l'acheminement de l'information","year":2003,"lang":"fr","type":"article","venue":"Journal Européen des Systèmes Automatisés","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":38,"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":"Political science; Humanities; Philosophy","score_opus":0.01398747563537866,"score_gpt":0.25277697573842667,"score_spread":0.238789500103048,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068497741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8021486,0.016012074,0.14214092,0.0068363915,0.0015130515,0.000881743,0.000082949155,0.00040841737,0.02997588],"genre_scores_gemma":[0.9608296,0.0058354298,0.026987225,0.00044301045,0.0005787366,0.000044693395,0.000012202311,0.00013007468,0.0051390184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9931462,0.0023543579,0.0017910606,0.00033565986,0.00072357577,0.0016491452],"domain_scores_gemma":[0.9943123,0.0025503228,0.0012720992,0.0004716523,0.0005786291,0.0008150257],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0046412414,0.00070331246,0.0010356486,0.0006551692,0.0007807464,0.0006301333,0.0006298169,0.0007682339,0.0014530466],"category_scores_gemma":[0.008417058,0.00069574604,0.0005044259,0.0011374324,0.0006671334,0.00091427204,0.000095493946,0.0014358471,0.00018887517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001411759,0.0013999477,0.012483488,0.002971415,0.0011742619,0.0018349376,0.008671568,0.001977832,0.0016491602,0.65234786,0.066293664,0.24905467],"study_design_scores_gemma":[0.0101088155,0.0012319467,0.06944364,0.0024191856,0.0015636059,0.05261364,0.006145101,0.020582533,0.007033695,0.5231023,0.30363467,0.0021208834],"about_ca_topic_score_codex":0.00069452863,"about_ca_topic_score_gemma":0.000055900426,"teacher_disagreement_score":0.24693379,"about_ca_system_score_codex":0.0017595565,"about_ca_system_score_gemma":0.002255917,"threshold_uncertainty_score":0.99993545},"labels":[],"label_agreement":null},{"id":"W2069187463","doi":"10.4171/lem/59-1-3","title":"Triangle groups, automorphic forms, and torus knots","year":2013,"lang":"fr","type":"preprint","venue":"L’Enseignement Mathématique","topic":"Geometric and Algebraic Topology","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":"Bulgarian Academy of Sciences; Queen's University","keywords":"Fibered knot; Mathematics; Diffeomorphism; Torus; Knot (papermaking); Pure mathematics; Group (periodic table); Coset; Gravitational singularity; Connected sum; Automorphic form; Base (topology); Knot theory; Combinatorics; Simply connected space; Geometry; Mathematical analysis; Physics","score_opus":0.023875755102528352,"score_gpt":0.25855666860927795,"score_spread":0.2346809135067496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069187463","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90724295,0.008664444,0.02173842,0.009423341,0.0031892778,0.0058390563,0.00027530815,0.00066026277,0.042966966],"genre_scores_gemma":[0.90563613,0.0034782644,0.04395633,0.0015684665,0.00086058676,0.0014588231,0.00030104534,0.00032336795,0.042416997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9934991,0.00053548865,0.0022036368,0.0014299402,0.00081354147,0.0015182738],"domain_scores_gemma":[0.9948192,0.0011821039,0.0014690622,0.0016267371,0.00030169525,0.0006011954],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.001527531,0.0013778287,0.0022699551,0.0006720533,0.00047030815,0.0003757854,0.00086200394,0.0017157194,0.00947772],"category_scores_gemma":[0.00084417587,0.00128989,0.00049663667,0.0005257022,0.00049395976,0.0003041237,0.0018531355,0.0015416245,0.00194092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003628084,0.00082722603,0.00021246924,0.0031931242,0.00061709655,0.00011955934,0.005484663,0.000018442417,0.00017513662,0.91997576,0.058040816,0.011299446],"study_design_scores_gemma":[0.003257271,0.00075590715,0.0094713345,0.0012289595,0.0007677117,0.00042558042,0.0021307375,0.0030841907,0.00045237562,0.9021764,0.07422732,0.0020222308],"about_ca_topic_score_codex":0.00069796655,"about_ca_topic_score_gemma":0.00022400665,"teacher_disagreement_score":0.022217909,"about_ca_system_score_codex":0.0005832189,"about_ca_system_score_gemma":0.00041345193,"threshold_uncertainty_score":0.99989724},"labels":[],"label_agreement":null},{"id":"W2069656870","doi":"10.1142/s0218216515500054","title":"A prime decomposition theorem for the 2-string link monoid","year":2015,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"National Science Foundation","keywords":"Mathematics; Prime (order theory); Monoid; Link (geometry); String (physics); Decomposition; Pure mathematics; Syntactic monoid; Decomposition theorem; Algebra over a field; Discrete mathematics; Combinatorics; Free monoid; Mathematical physics","score_opus":0.07230679049712352,"score_gpt":0.3530815615318923,"score_spread":0.2807747710347688,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069656870","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33193332,0.0049696206,0.65261126,0.008349995,0.0005043627,0.0005019984,0.00001480154,0.000029435936,0.0010852343],"genre_scores_gemma":[0.9954999,0.000113970505,0.0033687828,0.00010313431,0.00032148615,0.0000097476595,0.0000012158873,0.000009815238,0.0005719301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992093,0.00016279581,0.00033713892,0.000072595125,0.00010311241,0.00011508841],"domain_scores_gemma":[0.99635696,0.0027934324,0.0003242656,0.00014074978,0.0002957296,0.00008887351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023640257,0.00007591825,0.00015797751,0.00012279006,0.00018337835,0.000031590975,0.00018378277,0.000057232923,0.000020176687],"category_scores_gemma":[0.002344939,0.000046355173,0.000081447826,0.00016556619,0.000067699,0.00011629087,0.000022347287,0.00015543029,0.000005111886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095541836,0.00005909837,0.000012255106,0.000009838988,0.00006148222,5.372137e-7,0.0008843583,0.000015928348,0.0005382271,0.9879963,0.00048338453,0.009843045],"study_design_scores_gemma":[0.00061622675,0.00016537412,0.0003126265,0.00002172729,0.00015702234,0.00012935401,0.0013360503,0.0005171795,0.0018629509,0.9891807,0.0056311362,0.00006965097],"about_ca_topic_score_codex":2.8156458e-7,"about_ca_topic_score_gemma":3.131658e-7,"teacher_disagreement_score":0.6635666,"about_ca_system_score_codex":0.000022385775,"about_ca_system_score_gemma":0.00007246446,"threshold_uncertainty_score":0.28072804},"labels":[],"label_agreement":null},{"id":"W2070400297","doi":"10.1103/physreve.63.021506","title":"Crossings and writhe of flexible and ideal knots","year":2001,"lang":"en","type":"article","venue":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","topic":"Geometric and Algebraic Topology","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":"National Central University","keywords":"Writhe; Knot (papermaking); Crossing number (knot theory); Ideal (ethics); Monte Carlo method; Physics; Linking number; Nonlinear system; Mathematics; Statistical physics; Geometry; Twist; Statistics; Quantum mechanics","score_opus":0.024814182932850967,"score_gpt":0.3630225332824305,"score_spread":0.3382083503495795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070400297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9172577,0.025390072,0.02612973,0.004447198,0.00068259204,0.0011287027,0.00021805843,0.00019357925,0.024552332],"genre_scores_gemma":[0.9791877,0.011635881,0.005014202,0.0002070379,0.0004062919,0.000027923485,0.00004729337,0.00006120382,0.0034124115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799794,0.000114511364,0.0006913026,0.0005298841,0.00025346916,0.0004128808],"domain_scores_gemma":[0.9981099,0.0010400467,0.00019715338,0.00029526773,0.000101854865,0.00025580407],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023215015,0.0003492034,0.0009795537,0.00006677372,0.00023864194,0.00004317079,0.0001491848,0.00012927584,0.00008360368],"category_scores_gemma":[0.00034948933,0.00027223822,0.0001097926,0.00026483403,0.001111178,0.00016656994,0.0005667735,0.00047618945,0.000016509968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007968972,0.0005393538,0.00081654044,0.0019733324,0.00019388142,0.000053955104,0.001611122,7.769831e-7,0.00021247014,0.89654815,0.0077971555,0.09017358],"study_design_scores_gemma":[0.0007381819,0.00055902393,0.003637078,0.00088782853,0.00031365998,0.00014203394,0.00019863511,0.0019642406,0.00012637976,0.9887723,0.002290205,0.00037046973],"about_ca_topic_score_codex":0.000013451844,"about_ca_topic_score_gemma":0.000001737421,"teacher_disagreement_score":0.09222412,"about_ca_system_score_codex":0.000022148093,"about_ca_system_score_gemma":0.000031004245,"threshold_uncertainty_score":0.999973},"labels":[],"label_agreement":null},{"id":"W2071725733","doi":"10.1007/s00222-010-0254-y","title":"Exotic smooth structures on small 4-manifolds with odd signatures","year":2010,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Symplectic geometry; Construct (python library); Integer (computer science); Pairwise comparison; Irreducible representation","score_opus":0.05185443345692532,"score_gpt":0.2788130621167942,"score_spread":0.22695862865986888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071725733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97688955,0.000045293502,0.0055729407,0.0005620649,0.0004472538,0.00047116418,0.000007740178,0.00028791412,0.015716106],"genre_scores_gemma":[0.9608014,0.0000028434242,0.035976797,0.00020047653,0.0001902795,0.000047729398,0.000007196889,0.000060954477,0.0027123042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983196,0.000060847786,0.00043520806,0.00037841828,0.0003941856,0.00041172522],"domain_scores_gemma":[0.99805695,0.00072729454,0.00027530664,0.000693062,0.00010367617,0.00014369066],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000355474,0.00032484182,0.00043530867,0.00033030516,0.00017895161,0.000072903174,0.00039807588,0.00023849447,0.0018500976],"category_scores_gemma":[0.0007236669,0.00022319022,0.00015023082,0.00040868012,0.00021648618,0.00007616656,0.00006907319,0.0005226235,0.00021436445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002298979,0.0003714738,0.00014821778,0.00024743297,0.00008143634,0.000036251226,0.00026882245,0.0000048956404,0.0010131157,0.99562776,0.0012179652,0.0009596216],"study_design_scores_gemma":[0.0006081654,0.0002629311,0.0025469654,0.00008820894,0.00010746191,0.00012268794,0.00021332945,0.0000791706,0.001857915,0.9927321,0.0010590804,0.0003219603],"about_ca_topic_score_codex":0.00000824928,"about_ca_topic_score_gemma":0.00011994642,"teacher_disagreement_score":0.030403856,"about_ca_system_score_codex":0.000017619783,"about_ca_system_score_gemma":0.00004241041,"threshold_uncertainty_score":0.99906236},"labels":[],"label_agreement":null},{"id":"W2071913532","doi":"10.1016/j.jpaa.2010.12.019","title":"Local quasiconvexity of groups acting on small cancellation complexes","year":2011,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University; McMaster University","funders":"","keywords":"Quasiconvex function; Mathematics; Pure mathematics; Finitely-generated abelian group; Group (periodic table); Geometry; Physics","score_opus":0.06550465573673994,"score_gpt":0.27055542317882786,"score_spread":0.20505076744208792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071913532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9786891,0.000092193644,0.014493451,0.00009182518,0.000112635935,0.00008165632,0.000001894556,0.000008847679,0.0064284406],"genre_scores_gemma":[0.9956968,0.000020170046,0.004016244,0.00008266708,0.00013492764,9.76338e-7,5.3492164e-7,0.000011273918,0.000036426158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990691,0.000029899156,0.00047291795,0.0001035495,0.0001691987,0.0001553398],"domain_scores_gemma":[0.9988199,0.0002812834,0.0006424701,0.00010503915,0.00007057996,0.000080729886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039399028,0.00011947794,0.00037920728,0.00016620988,0.000054583663,0.00000755835,0.00012125757,0.00009509178,0.00014612172],"category_scores_gemma":[0.00006488479,0.00009124762,0.00007638339,0.00015616768,0.00011187196,0.000041833242,0.000031126918,0.000249429,0.0000030743238],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027682347,0.00034037523,0.0013815665,0.00016874209,0.00014522704,0.000013099961,0.0033950605,0.000006324016,0.0021227004,0.94828045,0.000725627,0.04314402],"study_design_scores_gemma":[0.0015284288,0.0007215616,0.010520486,0.00009657909,0.0001477024,0.00009448893,0.0049304334,0.000034648096,0.044141293,0.93715173,0.0003970837,0.00023556603],"about_ca_topic_score_codex":0.000011793007,"about_ca_topic_score_gemma":0.000020583266,"teacher_disagreement_score":0.042908456,"about_ca_system_score_codex":0.000017639102,"about_ca_system_score_gemma":0.00003128493,"threshold_uncertainty_score":0.37209696},"labels":[],"label_agreement":null},{"id":"W2072198804","doi":"10.1017/s0305004199004211","title":"On the set of discrete two-generator groups","year":2000,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Generator (circuit theory); Mathematics; Group (periodic table); Conjugacy class; Discrete group; Set (abstract data type); Generating set of a group; Combinatorics; Discrete mathematics; Pure mathematics; Computer science; Power (physics); Physics; Geometry","score_opus":0.03821798510223264,"score_gpt":0.2805763888356663,"score_spread":0.24235840373343367,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072198804","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93602026,0.000027026443,0.00012876395,0.032661118,0.000058078393,0.00055652985,0.000043712393,0.000060991515,0.030443495],"genre_scores_gemma":[0.99626124,0.00001028512,0.0016328509,0.0009456632,0.00031094006,0.000038702023,0.0000010324496,0.00004216302,0.0007571221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975921,0.000038159258,0.0007987181,0.00034700966,0.0007993914,0.00042462154],"domain_scores_gemma":[0.9974897,0.0014456718,0.0003592269,0.00040945996,0.00016740026,0.00012857911],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010686753,0.00031492132,0.0006657034,0.000030984236,0.00022700407,0.00002809972,0.001005864,0.00020833514,0.00072230026],"category_scores_gemma":[0.0013788465,0.0001583569,0.00077594037,0.0006971104,0.0010015176,0.00007669358,0.0002513718,0.0005915281,0.000051991097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031811145,0.00020114174,0.0000396665,0.00030005726,0.00011102637,2.2625866e-7,0.0003600907,0.0000016289796,0.0010797727,0.9852598,0.01248011,0.00013471517],"study_design_scores_gemma":[0.00048829726,0.00013452083,0.000095944335,0.00013713907,0.00012149641,0.000017516273,0.0001957999,0.00080555305,0.005778727,0.99188626,0.0001518954,0.00018683386],"about_ca_topic_score_codex":0.0000026545338,"about_ca_topic_score_gemma":5.4595628e-8,"teacher_disagreement_score":0.060240958,"about_ca_system_score_codex":0.000045924015,"about_ca_system_score_gemma":0.000025022196,"threshold_uncertainty_score":0.79086816},"labels":[],"label_agreement":null},{"id":"W2072781341","doi":"10.1007/bf02985731","title":"Counting Groups: Gnus, Moas, and other Exotica","year":2008,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"Marsden Fund","keywords":"Geology; Mathematics","score_opus":0.1399785610271055,"score_gpt":0.33194167304636385,"score_spread":0.19196311201925834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072781341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81382227,0.0006228062,0.14758936,0.0015124549,0.00018054529,0.00051203184,0.00000603454,0.00022397384,0.03553054],"genre_scores_gemma":[0.9880313,0.00006506362,0.007638509,0.0007512385,0.00017407472,0.000029575303,3.615808e-7,0.00004032089,0.003269542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984572,0.00008654326,0.0004675466,0.00025691104,0.00032230778,0.00040946895],"domain_scores_gemma":[0.9970647,0.0022110434,0.00011768989,0.0004437888,0.000058316822,0.000104435894],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007158515,0.00021636335,0.00036304616,0.00008725741,0.00027833166,0.000032966695,0.00034732523,0.00012206595,0.002655411],"category_scores_gemma":[0.00137185,0.00012646687,0.000088607856,0.0003233925,0.0007709506,0.0000609964,0.00017184867,0.00028518928,0.0005614191],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010802901,0.00012787641,0.00042533828,0.00009280583,0.00005548868,0.000015307556,0.0030584466,8.772805e-7,0.000035875466,0.99248946,0.0025555547,0.0011321936],"study_design_scores_gemma":[0.00009956295,0.000059637732,0.0001332712,0.000048718874,0.000054834447,0.00053071696,0.0010485518,0.0008023959,0.00068365067,0.9934847,0.0028444377,0.00020952895],"about_ca_topic_score_codex":0.00001552903,"about_ca_topic_score_gemma":0.0000045092575,"teacher_disagreement_score":0.17420906,"about_ca_system_score_codex":0.000020697476,"about_ca_system_score_gemma":0.000022555878,"threshold_uncertainty_score":0.9982563},"labels":[],"label_agreement":null},{"id":"W2073323605","doi":"10.1007/s10469-007-0003-5","title":"The property of being equationally Noetherian for some soluble groups","year":2007,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","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":"University of Manitoba","funders":"","keywords":"Noetherian; Mathematics; Pure mathematics; Wreath product; Prime (order theory); Direct product; Torsion (gastropod); Algebra over a field; Product (mathematics); Combinatorics","score_opus":0.048060569622906536,"score_gpt":0.2972467275979617,"score_spread":0.2491861579750552,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073323605","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9359221,0.00093462557,0.051848244,0.0040296195,0.00046354227,0.00076057704,0.0000036757453,0.00006426291,0.005973353],"genre_scores_gemma":[0.9931102,0.000034214554,0.0041410816,0.00028118107,0.00012575956,0.000016449305,0.0000027413103,0.000010672623,0.0022777063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992215,0.000023730692,0.00026042573,0.00013301765,0.00011141505,0.0002499035],"domain_scores_gemma":[0.9981398,0.0015070097,0.00011375224,0.00013938047,0.00005871362,0.000041322503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010224879,0.000086493004,0.00015832699,0.00005468013,0.00020563368,0.000015549089,0.00012996755,0.000061770465,0.000034180004],"category_scores_gemma":[0.0006221313,0.000043491113,0.00005407084,0.00012361885,0.00013801157,0.000056618486,0.000045782082,0.000063617685,0.000004061353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026143827,0.00003839033,0.0003920758,0.000035771485,0.000028198672,0.0000010432409,0.00027027584,2.2764817e-7,0.00035676587,0.9863159,0.00048083902,0.012054347],"study_design_scores_gemma":[0.00035311806,0.00016121799,0.0014984341,0.000006845314,0.000021755352,0.000007681123,0.00039087233,0.00005141687,0.00064463064,0.993655,0.0031319435,0.00007705614],"about_ca_topic_score_codex":0.0000119064025,"about_ca_topic_score_gemma":0.000031731248,"teacher_disagreement_score":0.057188094,"about_ca_system_score_codex":0.000008817894,"about_ca_system_score_gemma":0.000023384991,"threshold_uncertainty_score":0.17735161},"labels":[],"label_agreement":null},{"id":"W2073660050","doi":"10.1007/s00222-014-0513-4","title":"Cubulating malnormal amalgams","year":2014,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Abelian group; Vertex (graph theory); Graph; Action (physics); Combinatorics; Cube (algebra); Pure mathematics; Group (periodic table)","score_opus":0.05310229227626015,"score_gpt":0.3163459488582594,"score_spread":0.2632436565819992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073660050","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70792526,0.0000517053,0.21168157,0.0007426501,0.00037585344,0.00030863384,0.0000021820447,0.0004347834,0.07847734],"genre_scores_gemma":[0.93964857,0.0000021801977,0.055789832,0.00013296351,0.00020209515,0.000032663425,0.0000041748385,0.000035646353,0.0041518863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99846756,0.000104620754,0.0005406534,0.0002369761,0.00028870357,0.00036145508],"domain_scores_gemma":[0.9984746,0.0006815877,0.0002448033,0.00042644847,0.000068615256,0.00010393769],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008409743,0.00018589648,0.0003517971,0.00019304465,0.00015889353,0.0000421582,0.00024345297,0.00010681403,0.0014676215],"category_scores_gemma":[0.0015963983,0.00015838628,0.00016124692,0.00035873326,0.000100977115,0.00012530967,0.00010560804,0.00014451717,0.000731109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000026202692,0.00013503048,0.0005709217,0.00020715568,0.00003017582,0.000002253512,0.00024757214,0.0000021222222,0.00013138847,0.9927646,0.0012397028,0.004666447],"study_design_scores_gemma":[0.00037879602,0.000057538546,0.00074546656,0.00007328904,0.000047920465,0.00006236916,0.00017219488,0.0026666608,0.00046046835,0.9927712,0.0023616876,0.00020239924],"about_ca_topic_score_codex":0.0000049588025,"about_ca_topic_score_gemma":0.0000033166714,"teacher_disagreement_score":0.2317233,"about_ca_system_score_codex":0.00002019928,"about_ca_system_score_gemma":0.000012336377,"threshold_uncertainty_score":0.9994452},"labels":[],"label_agreement":null},{"id":"W2073808092","doi":"10.1007/s12220-014-9538-6","title":"Embedded Morse Theory and Relative Splitting of Cobordisms of Manifolds","year":2014,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Cobordism; Codimension; Pure mathematics; Embedding; Boundary (topology); Mathematical proof; Product (mathematics); Differential geometry; Statement (logic); Topology (electrical circuits); Mathematical analysis; Combinatorics; Geometry","score_opus":0.01592814750776058,"score_gpt":0.29269794024993095,"score_spread":0.2767697927421704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073808092","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77521616,0.000727375,0.22273402,0.00006751138,0.000045762008,0.000042438784,0.000004150204,0.0000043970954,0.0011582033],"genre_scores_gemma":[0.98820776,0.00010536722,0.01108374,0.000021877593,0.00005935293,4.4699433e-7,0.0000010121225,0.000011749975,0.00050871156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99751693,0.00036845883,0.0012708055,0.00014897951,0.0004961859,0.00019863121],"domain_scores_gemma":[0.9916516,0.005039059,0.0023949684,0.00026847675,0.00053045596,0.00011545275],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.004889067,0.00015239215,0.0012103502,0.005336937,0.000046437424,0.000008985971,0.00024649414,0.00012764258,0.0002579987],"category_scores_gemma":[0.009416173,0.000114649134,0.00054309686,0.008429083,0.00017222193,0.00013541148,0.00008341787,0.0002336676,0.0000018905848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048844464,0.0011981014,0.2428335,0.0006075115,0.023255203,0.000048809543,0.003984679,0.0009703232,0.0011117866,0.6799003,0.0010283397,0.044573028],"study_design_scores_gemma":[0.0033171934,0.0018358734,0.1773987,0.00014788446,0.021590928,0.00015758646,0.0073422757,0.003101744,0.0028918162,0.7814197,0.00024631765,0.0005500053],"about_ca_topic_score_codex":0.00002150657,"about_ca_topic_score_gemma":0.0000023209811,"teacher_disagreement_score":0.2129916,"about_ca_system_score_codex":0.000027045367,"about_ca_system_score_gemma":0.000034623168,"threshold_uncertainty_score":0.99892795},"labels":[],"label_agreement":null},{"id":"W2074636003","doi":"10.2140/agt.2009.9.2191","title":"A smallest irreducible lattice in the product of trees","year":2009,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lattice (music); Combinatorics; Product (mathematics); Pure mathematics; Geometry","score_opus":0.044265109775986626,"score_gpt":0.31180650223379286,"score_spread":0.2675413924578062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074636003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9700431,0.0022605348,0.00025139857,0.0090330755,0.00037369327,0.00054842164,0.0000047740764,0.00006724525,0.017417721],"genre_scores_gemma":[0.995725,0.000097825156,0.0020607004,0.00080104795,0.00020624822,0.000029893567,0.000005999518,0.000019874165,0.0010534071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99690825,0.00037385247,0.00088904495,0.00060116465,0.0004202262,0.0008074372],"domain_scores_gemma":[0.99565315,0.002730828,0.0003744082,0.0010367207,0.00011867423,0.000086232954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017106722,0.00032326588,0.0007764274,0.002461606,0.00009181825,0.00001857206,0.0010149193,0.00022717394,0.00052152615],"category_scores_gemma":[0.004832122,0.00023419948,0.00016921328,0.007902545,0.00037607993,0.000076292556,0.00009788898,0.00048567378,0.000036692316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010535472,0.0020784214,0.035469614,0.00009089064,0.00014201658,0.00013836431,0.0025878095,0.000011584488,0.0003271096,0.8899891,0.00843835,0.06062142],"study_design_scores_gemma":[0.0017235508,0.001317871,0.3420744,0.000026023961,0.00014238726,0.00046270608,0.0019058052,0.00002048009,0.0010843683,0.64769214,0.003062718,0.00048758023],"about_ca_topic_score_codex":0.0003018239,"about_ca_topic_score_gemma":0.00022925809,"teacher_disagreement_score":0.30660477,"about_ca_system_score_codex":0.00004854669,"about_ca_system_score_gemma":0.000118099815,"threshold_uncertainty_score":0.9550378},"labels":[],"label_agreement":null},{"id":"W2075559395","doi":"10.1142/s0218196706003396","title":"A FAST ALGORITHM FOR STALLINGS' FOLDING PROCESS","year":2006,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Folding (DSP implementation); Finitely-generated abelian group; Process (computing); Group (periodic table); Word (group theory); Key (lock); Stallings theorem about ends of groups","score_opus":0.020239153241068,"score_gpt":0.3284267487454681,"score_spread":0.3081875955044001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075559395","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38424903,0.00008766972,0.6147527,0.00037037797,0.00033672046,0.00005859889,0.00000463757,0.000009308623,0.00013093154],"genre_scores_gemma":[0.92564344,0.000008203569,0.07365374,0.000049217047,0.00054795557,0.0000028263153,0.000009229567,0.000009569055,0.00007583557],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991476,0.000015044574,0.00038603754,0.0000871501,0.00026716187,0.00009700881],"domain_scores_gemma":[0.998638,0.0003034784,0.00039436002,0.000022417795,0.00060939684,0.00003234797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023112392,0.00007825513,0.00014951067,0.00025698755,0.000044503206,0.000059382885,0.00012386171,0.00004167453,0.000011360066],"category_scores_gemma":[0.000098293895,0.00006844757,0.000070351845,0.00009122018,0.000028852111,0.0001707783,0.000016465861,0.000072228526,6.225126e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012328048,0.00041883293,0.0011924541,0.00006915004,0.00037093408,0.000053794432,0.0008703241,0.0014245268,0.00039212953,0.22545676,0.0024586932,0.7671691],"study_design_scores_gemma":[0.0013656293,0.00018429992,0.001005081,0.000050395076,0.000039999184,0.0002979944,0.00042241008,0.023149095,0.0005978745,0.97242075,0.00036363822,0.000102855345],"about_ca_topic_score_codex":0.000004815064,"about_ca_topic_score_gemma":0.0000014263275,"teacher_disagreement_score":0.76706624,"about_ca_system_score_codex":0.000028339844,"about_ca_system_score_gemma":0.000038220576,"threshold_uncertainty_score":0.27912107},"labels":[],"label_agreement":null},{"id":"W2075667205","doi":"10.2140/gt.2006.10.2247","title":"Three-manifolds, virtual homology, and group determinants","year":2006,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Homology (biology); Pure mathematics; Corollary; Equivariant map; Fundamental group; Torus; 3-manifold; Combinatorics; Covering space; Geometry","score_opus":0.018096842447798685,"score_gpt":0.27046783537626934,"score_spread":0.25237099292847065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075667205","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9853827,0.00090616173,0.009406581,0.000654413,0.0009685918,0.00026191998,0.000018571063,0.00016546067,0.002235648],"genre_scores_gemma":[0.9939665,0.000036352216,0.0039656963,0.0002763717,0.0004417177,0.00003664382,0.000012261094,0.000038237547,0.0012261944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783194,0.00009640711,0.0005268378,0.00057581015,0.00016923252,0.00079979346],"domain_scores_gemma":[0.9979644,0.0011911085,0.00020314904,0.00047036682,0.000050922466,0.00012008377],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00045143426,0.00031349823,0.00064034655,0.0007111613,0.00021455975,0.000024242318,0.00032060663,0.0004580529,0.0009156015],"category_scores_gemma":[0.0004965361,0.0002881093,0.000102813676,0.0006793365,0.00073702633,0.00009513457,0.0003006851,0.0003087985,0.00014707373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040314615,0.00030028747,0.14100271,0.00004712226,0.00006258358,0.00024869436,0.000056019453,7.737048e-7,0.00027883422,0.82736295,0.008486426,0.022113271],"study_design_scores_gemma":[0.0013998747,0.0008642438,0.17177038,0.000010329581,0.000107809996,0.001489381,0.00021277739,0.000050476912,0.00033136035,0.81071484,0.0125216,0.00052690884],"about_ca_topic_score_codex":0.00096764526,"about_ca_topic_score_gemma":0.0016779245,"teacher_disagreement_score":0.030767659,"about_ca_system_score_codex":0.000038187456,"about_ca_system_score_gemma":0.000027539567,"threshold_uncertainty_score":0.9999977},"labels":[],"label_agreement":null},{"id":"W2076304401","doi":"10.1215/00127094-2011-005","title":"Noncommutative Chern-Weil theory and the combinatorics of wheeling","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","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 Toronto","keywords":"Mathematics; Noncommutative geometry; Wheeling; Connection (principal bundle); Constructive; Algebra over a field; Class (philosophy); Construct (python library); Combinatorial proof; Constructive proof; Pure mathematics; Exposition (narrative); Discrete mathematics; Computer science","score_opus":0.055585231354112745,"score_gpt":0.2969507410028179,"score_spread":0.24136550964870512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076304401","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6476905,0.0009284499,0.2602511,0.00075748534,0.00030770074,0.0003926277,0.0000044881417,0.000053274995,0.089614384],"genre_scores_gemma":[0.98626614,0.00005960257,0.01304444,0.000084116014,0.0000518028,0.0000056113026,1.4456832e-7,0.00002078146,0.00046735667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821883,0.0005028785,0.0006249835,0.00010765434,0.00029474663,0.00025087758],"domain_scores_gemma":[0.99437964,0.004717419,0.000395606,0.00023735485,0.0001524527,0.000117556796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004011305,0.00015681221,0.0005109649,0.000118631404,0.0001672024,0.000026169877,0.00033185162,0.000096758646,0.000719186],"category_scores_gemma":[0.0038764144,0.00008571984,0.00014342231,0.0002262333,0.00071504695,0.00007401675,0.00014079304,0.0004959447,0.00002165318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010711045,0.00019894804,0.00008975627,0.00007547351,0.000115943745,0.00001390174,0.011264818,8.415124e-8,0.000012417971,0.9869692,0.00017288499,0.0009794967],"study_design_scores_gemma":[0.0016617944,0.000095123105,0.00013703966,0.000065887056,0.00012776788,0.00054750365,0.0046910425,0.000116030555,0.00037997923,0.9920405,0.00003984134,0.00009745428],"about_ca_topic_score_codex":0.000002058003,"about_ca_topic_score_gemma":2.9766306e-7,"teacher_disagreement_score":0.33857566,"about_ca_system_score_codex":0.000019639896,"about_ca_system_score_gemma":0.000039037255,"threshold_uncertainty_score":0.78745824},"labels":[],"label_agreement":null},{"id":"W2077082121","doi":"10.1007/s11425-010-3085-9","title":"Outer automorphism groups of certain 1-relator groups","year":2010,"lang":"en","type":"article","venue":"Science in China Series A Mathematics","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Mathematics; Outer automorphism group; Automorphism; Inner automorphism; Group of Lie type; Pure mathematics; Class (philosophy); Separable space; Combinatorics; Automorphism group; Group theory; Mathematical analysis; Computer science","score_opus":0.018560051758174285,"score_gpt":0.28285617846396804,"score_spread":0.2642961267057938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077082121","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99073553,0.000013036607,0.0018894437,0.00069009763,0.0008846562,0.00030938085,0.0000089666555,0.000086030595,0.0053828377],"genre_scores_gemma":[0.907767,0.000006402461,0.091228545,0.00002796358,0.00006083553,0.000020118485,9.4302726e-7,0.000025126372,0.00086304004],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997564,0.00003087821,0.0007755484,0.00038442697,0.00064941327,0.0005957195],"domain_scores_gemma":[0.998103,0.0004461476,0.00038728258,0.000803853,0.000114838105,0.0001448384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019399782,0.00025056518,0.0005435739,0.0006135228,0.00017166577,0.000057508223,0.0009945782,0.00017368307,0.0004328769],"category_scores_gemma":[0.00298716,0.00020172715,0.00009978646,0.0018964974,0.0016946215,0.00052369735,0.00032272618,0.00050125876,0.00003282294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000062376175,0.00032700796,0.0016589983,0.00021019464,0.000006980771,0.000020083186,0.006273191,0.0000023544176,0.0051544397,0.9856086,0.00018788225,0.00054402277],"study_design_scores_gemma":[0.00036521791,0.0001309459,0.00567819,0.000064745094,0.0000181818,0.000220351,0.002154586,0.0010690327,0.0034798733,0.98632115,0.00021624978,0.00028146768],"about_ca_topic_score_codex":0.00003061203,"about_ca_topic_score_gemma":0.00011248401,"teacher_disagreement_score":0.08933911,"about_ca_system_score_codex":0.00004804565,"about_ca_system_score_gemma":0.00018465138,"threshold_uncertainty_score":0.82261944},"labels":[],"label_agreement":null},{"id":"W2077319356","doi":"10.1090/s0002-9947-08-04455-3","title":"Twisted Alexander norms give lower bounds on the Thurston norm","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Ministry of Education and Human Resources Development","keywords":"Mathematics; Betti number; Norm (philosophy); Pure mathematics; Manifold (fluid mechanics); Combinatorics; Law","score_opus":0.04159182911375596,"score_gpt":0.28101504493857826,"score_spread":0.2394232158248223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077319356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86245435,0.000018621153,0.12082271,0.006934004,0.00015964836,0.00048686136,0.000022211447,0.000111303205,0.008990281],"genre_scores_gemma":[0.98847246,0.000036227513,0.005482736,0.00089394546,0.0000423496,0.000041142433,5.5381935e-7,0.000032935666,0.0049976497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834293,0.00010458833,0.00044094713,0.00023453886,0.0005105516,0.0003664309],"domain_scores_gemma":[0.99671143,0.0019647465,0.00032721125,0.00082487403,0.00008784551,0.000083916195],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034424156,0.00023824563,0.0005061619,0.000039232484,0.0005441772,0.000012466747,0.00058218837,0.00008300712,0.0014792425],"category_scores_gemma":[0.00023104825,0.0001208539,0.00079783576,0.0009715716,0.0022727177,0.00005117652,0.000029326617,0.0004719358,0.000075717326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00068628334,0.01649538,0.0020985226,0.0011649574,0.005845585,0.000024937186,0.06521068,0.0006159663,0.0038009167,0.7259563,0.16623071,0.011869729],"study_design_scores_gemma":[0.0027830957,0.002133869,0.015374198,0.00029988564,0.0012640142,0.00054102216,0.019752722,0.0046619517,0.009031584,0.9373271,0.0051771165,0.0016534429],"about_ca_topic_score_codex":0.00006305769,"about_ca_topic_score_gemma":0.0000063415378,"teacher_disagreement_score":0.21137075,"about_ca_system_score_codex":0.00008052728,"about_ca_system_score_gemma":0.000066657274,"threshold_uncertainty_score":0.9994335},"labels":[],"label_agreement":null},{"id":"W2077491875","doi":"10.1142/s1793525314500228","title":"Slicing a 2-sphere","year":2014,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Slicing; Diffeomorphism; Jordan curve theorem; Boundary (topology); Constant (computer programming); Simple (philosophy); Combinatorics; Function (biology); Surface (topology); Generating function; Pure mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.01755075939844268,"score_gpt":0.29596377012861114,"score_spread":0.27841301073016844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077491875","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9307128,0.00035456475,0.06428193,0.001959912,0.000114641996,0.0000134737,4.6901872e-7,0.0000070063634,0.0025551755],"genre_scores_gemma":[0.9921415,0.000051001964,0.0066426415,0.00023357282,0.00014708735,2.1743121e-7,2.4801733e-7,0.0000038459784,0.00077990803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992238,0.000119222954,0.00034955936,0.00008170873,0.00009027863,0.00013541189],"domain_scores_gemma":[0.9988573,0.0005469681,0.00033692204,0.00010701034,0.00007954561,0.00007224407],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067521085,0.00007319919,0.00047125737,0.0004332734,0.00006908069,0.0000089481355,0.000105884974,0.00009021532,0.0004939406],"category_scores_gemma":[0.00070268585,0.00005237129,0.000207344,0.0005202459,0.000101521764,0.000046154375,0.00002806636,0.00016636931,0.000003286463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000086465225,0.0002655128,0.36002845,0.0000740513,0.0069494266,0.00008759509,0.0012671517,0.00010471077,0.0003330342,0.5745686,0.0057747513,0.05046026],"study_design_scores_gemma":[0.0015427163,0.00075693656,0.05920929,0.000024138155,0.0073394226,0.0007017508,0.0016444947,0.0017289061,0.0003016122,0.91474664,0.011681949,0.00032211558],"about_ca_topic_score_codex":0.0000140924,"about_ca_topic_score_gemma":0.000027434073,"teacher_disagreement_score":0.34017807,"about_ca_system_score_codex":0.000007736954,"about_ca_system_score_gemma":0.0000126103305,"threshold_uncertainty_score":0.5408304},"labels":[],"label_agreement":null},{"id":"W2077686682","doi":"10.1142/s0219199708003198","title":"TOTALLY NON-COISOTROPIC DISPLACEMENT AND ITS APPLICATIONS TO HAMILTONIAN DYNAMICS","year":2008,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric and Algebraic Topology","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":"Université de Montréal","funders":"","keywords":"Submanifold; Mathematics; Symplectic geometry; Diffeomorphism; Hamiltonian (control theory); Symplectic manifold; Pure mathematics; Conjecture; Symplectomorphism; Lagrangian; Manifold (fluid mechanics); Mathematical analysis","score_opus":0.1508038552269792,"score_gpt":0.36391368165740706,"score_spread":0.21310982643042786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077686682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6695417,0.0034989007,0.19297992,0.01273125,0.0001567172,0.005798276,0.0001307029,0.00037616532,0.11478634],"genre_scores_gemma":[0.90284973,0.00039913176,0.09414424,0.00017037947,0.000017837021,0.00056343334,0.00003139836,0.000035376914,0.0017884736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984441,0.000082903265,0.00073943124,0.00027140457,0.00019926504,0.00026294313],"domain_scores_gemma":[0.99650866,0.0011883742,0.00021030093,0.0018273833,0.00011628899,0.00014900652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038215404,0.00022486997,0.00042761583,0.0003908732,0.00032529424,0.000023242714,0.0009810338,0.00011737139,0.000024255472],"category_scores_gemma":[0.00047363006,0.00022616437,0.000055837394,0.0007879826,0.00019269288,0.00013256448,0.0007347435,0.00028487624,0.0000811022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006988506,0.0010003955,0.0025369553,0.0002249106,0.00005157713,0.00000966202,0.004153504,0.00000678148,0.000058378893,0.988967,0.0017721306,0.0012117326],"study_design_scores_gemma":[0.005906453,0.0007787705,0.017378565,0.0009544595,0.00018176489,0.00074807566,0.013168521,0.0936749,0.00032366213,0.78039044,0.08356795,0.002926432],"about_ca_topic_score_codex":0.000027156337,"about_ca_topic_score_gemma":0.0001773262,"teacher_disagreement_score":0.233308,"about_ca_system_score_codex":0.00016676252,"about_ca_system_score_gemma":0.00013068866,"threshold_uncertainty_score":0.92227155},"labels":[],"label_agreement":null},{"id":"W2078457610","doi":"10.1142/s0218216502002037","title":"CYCLIC AND FINITE SURGERIES ON PRETZEL KNOTS","year":2002,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Dehn surgery; Fundamental group; Pure mathematics; Cyclic group; Manifold (fluid mechanics); Group (periodic table); Combinatorics; Algebra over a field; Knot (papermaking); Physics; Abelian group","score_opus":0.058443890361971874,"score_gpt":0.29375350829034413,"score_spread":0.23530961792837227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078457610","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98805577,0.0035117476,0.0017867486,0.002322673,0.00017399564,0.00009945217,0.000010161688,0.000017729722,0.0040217014],"genre_scores_gemma":[0.99448186,0.0012426759,0.0003476513,0.0001360034,0.000090971196,0.0000022324841,4.5952268e-7,0.00000900596,0.0036891236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917346,0.00017344982,0.00033369288,0.000093021124,0.00010512239,0.00012126796],"domain_scores_gemma":[0.996635,0.0028000001,0.0002585266,0.00012346693,0.00008946115,0.0000935174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006817164,0.00009200338,0.00020944924,0.0002334653,0.00015487554,0.000026909445,0.0000857097,0.00006532214,0.00035989034],"category_scores_gemma":[0.0026476106,0.000069465896,0.00005142017,0.00019470236,0.00010928153,0.000120966906,0.000017918721,0.00018449289,0.000019358298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003695308,0.00019214509,0.00016383873,0.000031799875,0.000055048367,0.000006310841,0.0013405129,0.0000027071455,0.00027821682,0.98446393,0.001907518,0.011521031],"study_design_scores_gemma":[0.00093041384,0.00046705097,0.009042279,0.000118233154,0.00017265935,0.0004160647,0.0011864752,0.0002475501,0.00096704403,0.9633613,0.02282691,0.00026402163],"about_ca_topic_score_codex":1.6624487e-7,"about_ca_topic_score_gemma":3.0482164e-7,"teacher_disagreement_score":0.02110262,"about_ca_system_score_codex":0.000007848328,"about_ca_system_score_gemma":0.000010826369,"threshold_uncertainty_score":0.39405468},"labels":[],"label_agreement":null},{"id":"W2078823474","doi":"10.4153/cmb-2010-051-9","title":"Near-Homeomorphisms of Nöbeling Manifolds","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Ricci-flat manifold; Manifold (fluid mechanics); Geometry; Scalar curvature; Curvature","score_opus":0.020020140287295565,"score_gpt":0.25485253138027164,"score_spread":0.23483239109297607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078823474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9348699,0.00003282747,0.0018407321,0.0050501204,0.0002760366,0.00028399393,0.000024543006,0.0000715093,0.05755037],"genre_scores_gemma":[0.9646911,0.0000016423636,0.031156428,0.000325108,0.000095570205,0.0000150010765,0.0000034426348,0.00003927103,0.0036724613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984666,0.000034546338,0.000499175,0.00023629713,0.00022946608,0.00053388864],"domain_scores_gemma":[0.9979744,0.0007257555,0.0001263475,0.00050615735,0.000102660924,0.000564711],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005734188,0.00018670528,0.00043155206,0.00023581213,0.00012403779,0.00003291069,0.00037061903,0.0002462855,0.05944919],"category_scores_gemma":[0.0024147707,0.00016873905,0.00012147415,0.00030751264,0.00031309528,0.000018072658,0.000048100203,0.0003949588,0.0050577293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033520892,0.00007707009,0.00020301758,0.00016131568,0.000030679086,0.000048966976,0.0002586613,5.759772e-7,0.00047896928,0.9714929,0.026284773,0.0009597412],"study_design_scores_gemma":[0.00044956696,0.00007293187,0.00034203968,0.00005653187,0.00006008599,0.00016972786,0.00021988462,0.00018980661,0.00085665146,0.8859182,0.111312404,0.00035218985],"about_ca_topic_score_codex":0.0009521544,"about_ca_topic_score_gemma":0.00178965,"teacher_disagreement_score":0.085574694,"about_ca_system_score_codex":0.00003469985,"about_ca_system_score_gemma":0.00022174504,"threshold_uncertainty_score":0.9957169},"labels":[],"label_agreement":null},{"id":"W2080369936","doi":"10.1112/s0024611502013424","title":"FANS AND LADDERS IN SMALL CANCELLATION THEORY","year":2002,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":76,"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":"Diagram; Mathematics; Boundary (topology); Subject (documents); Calculus (dental); Geometry; Mathematical analysis; Computer science; Statistics","score_opus":0.03540400205123386,"score_gpt":0.24410282208362738,"score_spread":0.2086988200323935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080369936","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.985629,0.0002076309,0.0005579512,0.0016749329,0.00003256106,0.00031153543,0.000001800127,0.000037371272,0.011547204],"genre_scores_gemma":[0.98694503,0.000079521065,0.010602654,0.0001435698,0.000030150235,0.000016144024,9.696764e-8,0.000017404649,0.0021654458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990816,0.000009140953,0.00033098983,0.00017945548,0.00016047597,0.00023835077],"domain_scores_gemma":[0.9990759,0.0005473674,0.00017687248,0.0000935405,0.000058906327,0.00004744197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062944053,0.00013154968,0.0002855825,0.00003747314,0.00006899135,0.000017917337,0.00021580311,0.00012758096,0.00025369273],"category_scores_gemma":[0.00080492836,0.0000875796,0.00013886996,0.00038741904,0.00025447822,0.000060930983,0.00012524475,0.00020758009,0.0000062895806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067738024,0.0001863313,0.0047241403,0.0007604297,0.000043853768,1.5008217e-7,0.006836808,7.1213714e-7,0.0010402204,0.98109466,0.0035965894,0.0017093318],"study_design_scores_gemma":[0.00042859398,0.000025152922,0.00082563417,0.00008849638,0.000040474417,0.000009694094,0.0018799817,0.0016583237,0.0015858707,0.99323696,0.000109544824,0.00011126718],"about_ca_topic_score_codex":0.000004933012,"about_ca_topic_score_gemma":0.000002419802,"teacher_disagreement_score":0.012142306,"about_ca_system_score_codex":0.00003325709,"about_ca_system_score_gemma":0.000005100798,"threshold_uncertainty_score":0.35713926},"labels":[],"label_agreement":null},{"id":"W2080572212","doi":"10.4153/cmb-2004-032-5","title":"Recurrent Geodesics in Flat Lorentz 3-Manifolds","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"National Science Foundation","keywords":"Geodesic; Holonomy; Mathematics; Lorentz transformation; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Physics; Classical mechanics","score_opus":0.03018716855842151,"score_gpt":0.2673742256653335,"score_spread":0.23718705710691196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2080572212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8721062,0.0003508276,0.009062897,0.02657163,0.00049907545,0.0010399452,0.000035958863,0.0001914868,0.090142004],"genre_scores_gemma":[0.98819953,0.000014149411,0.009046563,0.00075271796,0.0001052996,0.00004673727,0.00000835788,0.000048725422,0.001777892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979664,0.000055172342,0.000551033,0.0003490974,0.0002547964,0.0008235009],"domain_scores_gemma":[0.9984248,0.00039063403,0.00008146828,0.00042194486,0.000048535356,0.00063261687],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005103403,0.00025517127,0.00044108412,0.0004746442,0.0000849441,0.000040469167,0.00034432005,0.00022663758,0.012818777],"category_scores_gemma":[0.001518105,0.00023738257,0.00011189571,0.00049866806,0.00013738421,0.000027177732,0.00005180102,0.00035643295,0.009383998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057797283,0.00010900643,0.000103857856,0.0001273524,0.000016393431,0.00020379742,0.0004266867,0.00000751729,0.0000055556984,0.9879729,0.009361308,0.0016598081],"study_design_scores_gemma":[0.0007465811,0.00007486964,0.00023837907,0.00014226208,0.000021560816,0.000070960734,0.00022109285,0.000027228889,0.000084928186,0.9621073,0.035952386,0.00031242231],"about_ca_topic_score_codex":0.0015243678,"about_ca_topic_score_gemma":0.0085916985,"teacher_disagreement_score":0.11609338,"about_ca_system_score_codex":0.0005005374,"about_ca_system_score_gemma":0.00029722264,"threshold_uncertainty_score":0.9913873},"labels":[],"label_agreement":null},{"id":"W2081482335","doi":"10.2140/agt.2006.6.2351","title":"Genus generators and the positivity of the signature","year":2006,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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; Division of Mathematical Sciences; University of Toronto; Deutsche Forschungsgemeinschaft","keywords":"Signature (topology); Genus; Conjecture; Bounded function; Euler characteristic; Set (abstract data type); Generator (circuit theory)","score_opus":0.0089999907283863,"score_gpt":0.23240420156931216,"score_spread":0.22340421084092585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081482335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9807154,0.0050381003,0.0015918176,0.006200393,0.00079158536,0.00050577306,0.0000194064,0.000057688292,0.0050798585],"genre_scores_gemma":[0.99668795,0.00005975346,0.0007068736,0.0007884438,0.0002659682,0.000026300253,0.000003326666,0.000027202455,0.0014341747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975831,0.0005426687,0.00058316556,0.00040335135,0.0003504764,0.0005372179],"domain_scores_gemma":[0.99516225,0.0035091045,0.00042498586,0.0007155017,0.0001239531,0.00006422757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010324034,0.00028433456,0.00064573355,0.0006156566,0.00031537327,0.00002155716,0.0006076879,0.00034811866,0.00022863405],"category_scores_gemma":[0.0019064402,0.00015448124,0.0002414984,0.0034817427,0.0017551349,0.000059269674,0.0003822396,0.000488584,0.000010970042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004574173,0.0001353578,0.009322177,0.000035473957,0.00012046243,0.000008830206,0.0001519531,0.000005776725,0.0002187318,0.97232085,0.011711174,0.0059234607],"study_design_scores_gemma":[0.0026670448,0.0001311501,0.08421516,0.000009214245,0.00025407484,0.0002808528,0.00019468079,0.000029567993,0.0028904586,0.90483755,0.0041870135,0.00030322405],"about_ca_topic_score_codex":0.0007611645,"about_ca_topic_score_gemma":0.0001337658,"teacher_disagreement_score":0.07489298,"about_ca_system_score_codex":0.000037565354,"about_ca_system_score_gemma":0.000075979246,"threshold_uncertainty_score":0.6466868},"labels":[],"label_agreement":null},{"id":"W2081621861","doi":"10.2140/agt.2001.1.311","title":"Free group automorphisms, invariant orderings and topological applications","year":2001,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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; Automorphism; Braid group; Fibered knot; Invariant (physics); Automorphisms of the symmetric and alternating groups; Pure mathematics; Fundamental group; Group (periodic table); Multiplication (music); Topology (electrical circuits); Discrete mathematics; Combinatorics","score_opus":0.030303021342206228,"score_gpt":0.2768084754568922,"score_spread":0.24650545411468597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081621861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.783423,0.004528091,0.17560841,0.013364102,0.00088047935,0.0016075124,0.000058697384,0.0010687473,0.019460948],"genre_scores_gemma":[0.98066115,0.00076355075,0.013535835,0.0015190823,0.00039570284,0.00030101894,0.000027329663,0.00006024307,0.002736107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99658924,0.0002059757,0.0008084112,0.00095677003,0.00036392492,0.001075653],"domain_scores_gemma":[0.99557906,0.0025037408,0.0003195373,0.0010963175,0.000121515535,0.00037980964],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00081009313,0.00046847176,0.00085831695,0.0017741213,0.00040942949,0.000055737175,0.0009051893,0.00058644265,0.0035771842],"category_scores_gemma":[0.0028688046,0.00042021807,0.0001530085,0.0043625385,0.0009551959,0.00016888506,0.0007762383,0.00057779654,0.00015909245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031078864,0.00037297898,0.008380166,0.000039003105,0.00012236227,0.00012419283,0.00011412163,5.630716e-7,0.000081080514,0.95296144,0.005313109,0.032459926],"study_design_scores_gemma":[0.00175679,0.00058743363,0.023863414,0.000007387649,0.00013563527,0.0018177611,0.00035333564,0.00003899289,0.00005006603,0.8719561,0.09882822,0.0006048458],"about_ca_topic_score_codex":0.00031778123,"about_ca_topic_score_gemma":0.00010358121,"teacher_disagreement_score":0.19723812,"about_ca_system_score_codex":0.000090009824,"about_ca_system_score_gemma":0.000064554304,"threshold_uncertainty_score":0.99982494},"labels":[],"label_agreement":null},{"id":"W2081808964","doi":"10.1142/s0218216509006793","title":"OPEN-CLOSED TQFTS EXTEND KHOVANOV HOMOLOGY FROM LINKS TO TANGLES","year":2009,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Khovanov homology; Mathematics; Tangle; Homology (biology); Pure mathematics; Floer homology; Knot theory; Knot (papermaking); Topology (electrical circuits); Combinatorics; Algebra over a field; Genetics; Biology; Amino acid","score_opus":0.04970606640856114,"score_gpt":0.3517512064565356,"score_spread":0.3020451400479745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2081808964","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9460392,0.0022831305,0.0334692,0.012106781,0.00036938896,0.00032894706,0.00003874075,0.000025815803,0.005338769],"genre_scores_gemma":[0.98800147,0.00011511966,0.00839531,0.0010876793,0.0002248455,0.000003304136,0.0000034331028,0.000010771654,0.0021580628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986845,0.00028408677,0.00054333004,0.00017274864,0.00012522438,0.0001901034],"domain_scores_gemma":[0.99780995,0.0011647912,0.00036186448,0.00025658056,0.00022375128,0.0001830412],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010605466,0.00012997596,0.00037257373,0.0002939746,0.00017393556,0.00006306248,0.0005505005,0.00017605233,0.0004840205],"category_scores_gemma":[0.0023352462,0.00010288855,0.00007484426,0.0003584772,0.00006323095,0.0001845545,0.000074554184,0.0003695343,0.000044752687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012094452,0.000337004,0.00002503778,0.000004618285,0.00006589439,0.000017476956,0.0009547162,0.0000031279658,0.0050454875,0.96222955,0.0026695647,0.02852659],"study_design_scores_gemma":[0.0006415405,0.00038661365,0.0094780335,0.00003712574,0.00010033466,0.00013758148,0.0006751272,0.000011072282,0.0012321904,0.97615516,0.011009062,0.00013614203],"about_ca_topic_score_codex":0.0000020135747,"about_ca_topic_score_gemma":0.00000248308,"teacher_disagreement_score":0.041962247,"about_ca_system_score_codex":0.000022227608,"about_ca_system_score_gemma":0.000076827455,"threshold_uncertainty_score":0.5299685},"labels":[],"label_agreement":null},{"id":"W2083586626","doi":"10.1007/s10455-014-9445-x","title":"Dissolving 4-manifolds, covering spaces and Yamabe invariant","year":2014,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric and Algebraic Topology","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; Counterexample; Differential geometry; Invariant (physics); Pure mathematics; Conjecture; Simply connected space; Yamabe flow; Combinatorics; Geometry; Mathematical physics; Scalar curvature; Sectional curvature","score_opus":0.031055988239192957,"score_gpt":0.31027273562029956,"score_spread":0.2792167473811066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083586626","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98830837,0.0014618974,0.007405733,0.00092082506,0.00003149221,0.000041785916,0.000022557004,0.000020496884,0.0017868411],"genre_scores_gemma":[0.99803233,0.0003712941,0.0012072469,0.0002178111,0.000042600142,0.0000012044527,0.000003925358,0.0000053603753,0.00011821746],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99882144,0.00006216324,0.0003445218,0.0002882495,0.00020772564,0.00027589186],"domain_scores_gemma":[0.9989532,0.0003526755,0.0002259536,0.00023859378,0.000092008035,0.00013754106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006745813,0.00015953352,0.0006065678,0.0002478758,0.000094875504,0.000058068654,0.00012276239,0.00009509041,0.00009962056],"category_scores_gemma":[0.0007113822,0.00013008533,0.00015770321,0.0019331372,0.0001138295,0.00009940341,0.00017223899,0.00006786925,0.000002851964],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000161627,0.00012455769,0.7106357,0.0001314445,0.0016788826,0.0000050620574,0.00007687803,0.000016511045,0.00005746545,0.27401972,0.0007193554,0.012518229],"study_design_scores_gemma":[0.0003037864,0.0001512727,0.8407765,0.00003244713,0.0011065077,0.000012911671,0.0003511307,0.0009841057,0.00024003252,0.15485996,0.0008980211,0.00028330498],"about_ca_topic_score_codex":0.0004510567,"about_ca_topic_score_gemma":0.00018887405,"teacher_disagreement_score":0.13014078,"about_ca_system_score_codex":0.0000049621513,"about_ca_system_score_gemma":0.000009709547,"threshold_uncertainty_score":0.5304726},"labels":[],"label_agreement":null},{"id":"W2083923137","doi":"10.1016/j.dam.2007.03.005","title":"New classes of facets of the cut polytope and tightness of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si17.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>I</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=\"italic\">mm</mml:mi><mml:mn>22</mml:mn></mml:mrow></mml:msub></mml:math> Bell inequalities","year":2007,"lang":"lv","type":"article","venue":"Discrete Applied Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Polytope; Scroll; Algorithm; Combinatorics; Theology","score_opus":0.021315821128699824,"score_gpt":0.2509121246194622,"score_spread":0.2295963034907624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083923137","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.519935,0.0010566544,0.00428844,0.00035671066,0.0010900798,0.00007559297,0.00041373918,0.000118166536,0.4726656],"genre_scores_gemma":[0.9841162,0.000948399,0.011092313,0.0006144078,0.0008834517,0.00039983817,0.0004293973,0.00069240393,0.00082361524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9905845,0.00028320614,0.0029680661,0.0013522663,0.0026254733,0.0021864988],"domain_scores_gemma":[0.98892075,0.0033767906,0.0038242224,0.0028141807,0.00020891541,0.0008551513],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026289087,0.0009687947,0.0006788192,0.0006818438,0.00092885626,0.0005927958,0.002318484,0.0023074113,0.27500045],"category_scores_gemma":[0.0020856054,0.0015615963,0.0015400366,0.0015719854,0.0023493292,0.00077649753,0.0024434414,0.0013326659,0.0005481274],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00070795265,0.00043081935,0.0000135655755,0.0049104947,0.0017721717,0.00025500418,0.0069411835,0.00019430522,0.004110515,0.8488172,0.13077553,0.0010712214],"study_design_scores_gemma":[0.0022348857,0.0011180236,0.000076456665,0.0016275679,0.0022136627,0.00073995173,0.010765241,0.007171595,0.96702766,0.0044253883,0.0011807252,0.0014188194],"about_ca_topic_score_codex":0.0011640466,"about_ca_topic_score_gemma":0.00088216166,"teacher_disagreement_score":0.96291715,"about_ca_system_score_codex":0.000014848378,"about_ca_system_score_gemma":0.0014380213,"threshold_uncertainty_score":0.9989878},"labels":[],"label_agreement":null},{"id":"W2084442909","doi":"10.1016/j.jalgebra.2004.10.022","title":"Conjugacy separability of certain Seifert 3-manifold groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Mathematics; Separable space; Conjugacy class; Pure mathematics; 3-manifold; Manifold (fluid mechanics); Coset; Group (periodic table); Combinatorics; Mathematical analysis; Chemistry","score_opus":0.032390726271873456,"score_gpt":0.3112498031486851,"score_spread":0.27885907687681166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084442909","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99242854,0.00038659343,0.002789276,0.0021558956,0.0002680814,0.00010619047,0.0000032489065,0.000025324083,0.0018368732],"genre_scores_gemma":[0.98328054,0.000039023045,0.01551427,0.00023073492,0.00043111652,9.761328e-7,3.478034e-7,0.000023910025,0.00047908927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797016,0.00012536017,0.0010847375,0.00013632908,0.00040954337,0.00027385124],"domain_scores_gemma":[0.9975052,0.0008526325,0.0008832778,0.00029923886,0.00030889933,0.00015077129],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011464683,0.0001646936,0.00062397117,0.00030178225,0.00004362157,0.000014076475,0.00035820447,0.00013315416,0.0011748908],"category_scores_gemma":[0.0012860075,0.00012830104,0.00030196813,0.0003610977,0.00009836013,0.00022375837,0.000060744438,0.00033391087,0.00003796639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048975524,0.0027273204,0.038603052,0.00046099926,0.00086719514,0.00013159176,0.0035724032,0.000049466275,0.0029181987,0.8761075,0.050144706,0.023927797],"study_design_scores_gemma":[0.0037594722,0.0014470594,0.04183667,0.00014173865,0.00035810878,0.0011778423,0.0015685641,0.00019340435,0.008052198,0.917841,0.023112118,0.0005117833],"about_ca_topic_score_codex":0.000007646822,"about_ca_topic_score_gemma":0.0000086045575,"teacher_disagreement_score":0.041733522,"about_ca_system_score_codex":0.00007666334,"about_ca_system_score_gemma":0.00011720964,"threshold_uncertainty_score":0.99973816},"labels":[],"label_agreement":null},{"id":"W2084615082","doi":"10.4153/cmb-2012-013-7","title":"Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":36,"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; Conjugacy class; Abelian group; Automorphism; Torsion (gastropod); Combinatorics; Pure mathematics","score_opus":0.04662272126959101,"score_gpt":0.29792765310343094,"score_spread":0.25130493183383995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084615082","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96307737,0.00029934576,0.0013717503,0.0064439643,0.0001918528,0.00051693636,0.000037670823,0.000062311345,0.02799883],"genre_scores_gemma":[0.98897904,0.000007676583,0.008430941,0.00053346006,0.000098580356,0.000025545682,0.000007478531,0.000038686074,0.0018785872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979335,0.00012990442,0.0006723076,0.00021319026,0.0002112966,0.0008397998],"domain_scores_gemma":[0.99713147,0.001474271,0.00013610696,0.000435915,0.000087992084,0.00073427625],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007300541,0.00021803647,0.0005733568,0.0005545876,0.000062597326,0.000010369977,0.00025830674,0.0002267152,0.019801592],"category_scores_gemma":[0.0044127847,0.0001940188,0.00011101116,0.0005906313,0.00022271859,0.000038251113,0.000051690233,0.0002845573,0.0026176085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009175795,0.00038697536,0.0025942884,0.00031290122,0.000037366568,0.00004647224,0.0009802108,0.0000010836292,0.00009872806,0.97307885,0.021614032,0.000839931],"study_design_scores_gemma":[0.002455557,0.00025295283,0.014421527,0.0006371803,0.00018999793,0.0002866346,0.0046691843,0.00037899878,0.0007033472,0.834363,0.14037527,0.0012663988],"about_ca_topic_score_codex":0.0012136276,"about_ca_topic_score_gemma":0.0014585148,"teacher_disagreement_score":0.13871588,"about_ca_system_score_codex":0.0001227515,"about_ca_system_score_gemma":0.00016270367,"threshold_uncertainty_score":0.998159},"labels":[],"label_agreement":null},{"id":"W2085293747","doi":"10.5539/jmr.v7n2p117","title":"On the Irreducibility of Artin's Group of Graphs","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric and Algebraic Topology","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; Irreducibility; Sigma; Combinatorics; Graph; Discrete mathematics; Pure mathematics","score_opus":0.37613636515080123,"score_gpt":0.4589868983104915,"score_spread":0.08285053315969026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085293747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99207217,0.00014014963,0.0013496055,0.0010325732,0.00012030959,0.00021338118,0.0000039446304,0.0000040782675,0.0050637913],"genre_scores_gemma":[0.98950326,0.000021821717,0.010134942,0.000008813016,0.0000478782,0.0000028882293,1.4746385e-7,0.000015182019,0.00026509174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996239,0.0005004158,0.0011088767,0.00011117451,0.001747317,0.00029318326],"domain_scores_gemma":[0.9891443,0.007810197,0.00085188926,0.00063673314,0.0014045445,0.00015232433],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.017519677,0.00010823858,0.0005418539,0.00062180543,0.00005085711,0.0000141118635,0.000703242,0.000095395706,0.00019485696],"category_scores_gemma":[0.024090279,0.000059889488,0.00021261969,0.0009134033,0.00050872617,0.00006091888,0.00014703137,0.0006488805,0.0000135920445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096943564,0.002053637,0.00050226226,0.0004436774,0.00014050413,0.000012575517,0.0033904111,0.000007675561,0.001067491,0.96852577,0.02310934,0.00064971467],"study_design_scores_gemma":[0.0004672064,0.0009482551,0.00027215687,0.00015629866,0.000024678486,0.000054406544,0.0055610086,0.00009781573,0.004506412,0.98774576,0.000115273324,0.00005072941],"about_ca_topic_score_codex":0.000010693635,"about_ca_topic_score_gemma":0.0000032167245,"teacher_disagreement_score":0.022994066,"about_ca_system_score_codex":0.00005303131,"about_ca_system_score_gemma":0.0002064682,"threshold_uncertainty_score":0.9841302},"labels":[],"label_agreement":null},{"id":"W2085502345","doi":"10.1007/s10455-007-9057-9","title":"Generalized doubling constructions for constant mean curvature hypersurfaces in S n+1","year":2007,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric and Algebraic Topology","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":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Hypersurface; Mean curvature; Differential geometry; Clifford torus; Constant (computer programming); Immersion (mathematics); Mathematical analysis; Combinatorics; Minimal surface; Pure mathematics; Torus; Curvature; Geometry","score_opus":0.0667825290185308,"score_gpt":0.37509253899820705,"score_spread":0.3083100099796763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085502345","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9859715,0.0027315458,0.009432534,0.0007151652,0.00008759022,0.00013003251,0.00010937294,0.000018494395,0.0008037782],"genre_scores_gemma":[0.98943776,0.00019576703,0.010062335,0.00017391348,0.00003543979,0.0000026164503,0.000014322102,0.0000050261497,0.00007282503],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858725,0.000032410266,0.0005591345,0.00027320406,0.00018919542,0.00035882823],"domain_scores_gemma":[0.99878407,0.00043401017,0.00024505513,0.00019262581,0.00023437306,0.00010988659],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010776079,0.00015445915,0.00064461667,0.00055797346,0.00008148893,0.000021642278,0.00012267013,0.00015398196,0.00007329816],"category_scores_gemma":[0.0003764422,0.00012968502,0.0002848213,0.0043217633,0.00019194721,0.00006935604,0.000046896053,0.000091571426,7.2297144e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013043534,0.00023985111,0.5349032,0.0000828486,0.002328313,0.0000076441165,0.00011063694,0.000076792574,0.00010418604,0.45316184,0.0009893368,0.007864906],"study_design_scores_gemma":[0.004367365,0.00040179005,0.3481195,0.000080508085,0.0039520278,0.000054920154,0.006335727,0.0009164522,0.0030107077,0.62758857,0.004124206,0.0010482263],"about_ca_topic_score_codex":0.00029788876,"about_ca_topic_score_gemma":0.0012527276,"teacher_disagreement_score":0.1867837,"about_ca_system_score_codex":0.000013286469,"about_ca_system_score_gemma":0.000030322251,"threshold_uncertainty_score":0.5288402},"labels":[],"label_agreement":null},{"id":"W2086445880","doi":"10.1007/s00209-009-0534-7","title":"Ruled 4-manifolds and isotopies of symplectic surfaces","year":2009,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symplectic geometry; Mathematics; Symplectic manifold; Symplectomorphism; Moment map; Symplectic representation; Pure mathematics; Symplectic matrix; Symplectic vector space; Disjoint sets; Mathematical analysis","score_opus":0.020310930726009778,"score_gpt":0.2713152934587573,"score_spread":0.25100436273274757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086445880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9280502,0.033478398,0.003152651,0.0025937208,0.0007335721,0.001144438,0.00009747034,0.00023374106,0.030515788],"genre_scores_gemma":[0.9823545,0.0012866671,0.013120862,0.00016918103,0.00022933539,0.000010893065,0.0000114102195,0.0000615752,0.0027555474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99652094,0.00021600172,0.0012851155,0.0006367283,0.0005615386,0.00077965285],"domain_scores_gemma":[0.9965652,0.0013599858,0.0007898653,0.0008526504,0.00019654351,0.0002357291],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009909418,0.0006273024,0.0014985935,0.0005096394,0.0002200651,0.0001090351,0.0004891474,0.00049811584,0.0011588712],"category_scores_gemma":[0.001458778,0.0005502872,0.0002426714,0.0008327573,0.0003545536,0.00022745137,0.00020769416,0.00044029322,0.00039134952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038024333,0.0006951274,0.0007764142,0.001387189,0.00046850066,0.000027825336,0.0043210206,0.0000037462548,0.0020848229,0.98129565,0.0046539996,0.0042476654],"study_design_scores_gemma":[0.006620912,0.0039180377,0.031177998,0.002599296,0.0037332745,0.00049778895,0.003854822,0.0024807537,0.020142995,0.8847901,0.03693652,0.003247489],"about_ca_topic_score_codex":0.000035169534,"about_ca_topic_score_gemma":0.00000891342,"teacher_disagreement_score":0.09650555,"about_ca_system_score_codex":0.000007141586,"about_ca_system_score_gemma":0.000106268555,"threshold_uncertainty_score":0.9997542},"labels":[],"label_agreement":null},{"id":"W2086825746","doi":"10.1142/s0218216504003044","title":"ENUMERATING THE PRIME ALTERNATING KNOTS, PART I","year":2004,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Combinatorics; Prime (order theory); Crossing number (knot theory); Discrete mathematics; Knot (papermaking)","score_opus":0.041540162862302624,"score_gpt":0.3163347272523933,"score_spread":0.2747945643900907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086825746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9584648,0.0027435306,0.031857863,0.004535475,0.00038017472,0.000153809,0.0000044121316,0.000021307858,0.0018386459],"genre_scores_gemma":[0.9966734,0.00017551529,0.0019333774,0.00016664165,0.00034537024,0.000003172499,5.3122653e-7,0.000009772111,0.0006922267],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989839,0.00019530384,0.00045212646,0.000084075764,0.00014426046,0.00014033612],"domain_scores_gemma":[0.99786556,0.0013061615,0.00046121047,0.00015126097,0.00015229304,0.00006351916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017884955,0.00008643816,0.00016676889,0.00010357662,0.0003216327,0.00004138458,0.00021089445,0.000045726385,0.00009015454],"category_scores_gemma":[0.0028542217,0.00005372111,0.000071405426,0.0002118878,0.00007898053,0.0001341832,0.00003180367,0.00027323188,0.000012640187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009719153,0.00007593317,0.000027607874,0.000009635548,0.00005218729,0.0000029575303,0.001429621,0.0000394788,0.0009452765,0.9906867,0.000122013254,0.0065988814],"study_design_scores_gemma":[0.000562511,0.00010241618,0.0007346099,0.00008016387,0.00010287663,0.0003632123,0.0017872857,0.000048232287,0.0034778516,0.9865605,0.0060707214,0.00010960892],"about_ca_topic_score_codex":9.995978e-7,"about_ca_topic_score_gemma":8.7573926e-7,"teacher_disagreement_score":0.03820861,"about_ca_system_score_codex":0.00002205478,"about_ca_system_score_gemma":0.00007359361,"threshold_uncertainty_score":0.34169763},"labels":[],"label_agreement":null},{"id":"W2086964854","doi":"10.1142/s0218196705002104","title":"RESIDUAL FINITENESS OF OUTER AUTOMORPHISM GROUPS OF FINITELY GENERATED NON-TRIANGLE FUCHSIAN GROUPS","year":2005,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Korea Science and Engineering Foundation","keywords":"Mathematics; Outer automorphism group; Automorphism; Group of Lie type; Pure mathematics; Grossman; Finitely-generated abelian group; Residual; Inner automorphism; Property (philosophy); Group (periodic table); Group isomorphism; Automorphism group; Group theory","score_opus":0.03148816624685013,"score_gpt":0.30734834241884823,"score_spread":0.2758601761719981,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086964854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94500184,0.00019596801,0.052645702,0.0013062414,0.000505338,0.000069907706,0.000016348755,0.000008889333,0.00024974582],"genre_scores_gemma":[0.9845687,0.000049814123,0.014728016,0.00011097123,0.00045621986,0.0000010927545,0.00001565369,0.000012679101,0.000056856104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828744,0.00007906298,0.0009246862,0.000118199954,0.00047243727,0.00011818065],"domain_scores_gemma":[0.9975681,0.0004895023,0.0010012129,0.0000716982,0.0008067926,0.00006270217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044798624,0.00012637513,0.00037431277,0.000606653,0.000029676561,0.000019570498,0.00024100658,0.000082973325,0.00008668636],"category_scores_gemma":[0.00024606576,0.000110408386,0.00011452691,0.00022909799,0.00009248139,0.00022798109,0.000057182107,0.00014640931,0.0000034748007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0027021063,0.00431053,0.019131549,0.00051135494,0.0045055933,0.00067544554,0.014589664,0.013644613,0.01908611,0.5058036,0.022248164,0.39279127],"study_design_scores_gemma":[0.018012218,0.0029380813,0.13850868,0.0008261955,0.000609369,0.002950912,0.0028652041,0.039041337,0.039669037,0.75203496,0.0015142185,0.0010298096],"about_ca_topic_score_codex":0.000011184834,"about_ca_topic_score_gemma":0.00000646317,"teacher_disagreement_score":0.39176148,"about_ca_system_score_codex":0.00003502388,"about_ca_system_score_gemma":0.00007899053,"threshold_uncertainty_score":0.45023233},"labels":[],"label_agreement":null},{"id":"W2087792891","doi":"10.4310/mrl.2010.v17.n3.a8","title":"Geography of simply connected spin symplectic 4-manifolds","year":2010,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Minnesota","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Simply connected space; Spin (aerodynamics); Moment map; Physics","score_opus":0.07693588414338981,"score_gpt":0.40184319378487066,"score_spread":0.32490730964148085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087792891","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.980015,0.000011443501,0.006628897,0.006060882,0.000119683406,0.00049179624,0.000007222826,0.00010437168,0.006560721],"genre_scores_gemma":[0.9867361,0.0000041199905,0.012582098,0.00030655554,0.00011462631,0.000056558605,0.0000028513925,0.000042717184,0.00015435956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966618,0.0002797678,0.00062492036,0.0003777418,0.0011242388,0.0009315402],"domain_scores_gemma":[0.9918471,0.0066635655,0.00012663491,0.0007917089,0.00030020307,0.000270796],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0027939882,0.00020911926,0.00052644697,0.00096909667,0.0001641946,0.000051617168,0.0006585566,0.00019317705,0.002750902],"category_scores_gemma":[0.013761016,0.00016925913,0.00020321574,0.0015871626,0.00095110765,0.000083107225,0.00023891599,0.001083613,0.0002849173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026259058,0.00046104167,0.0013891564,0.00051779876,0.000107292784,0.00004269589,0.00028354116,3.0712343e-7,0.06641809,0.91705793,0.012836989,0.00085889426],"study_design_scores_gemma":[0.0006212451,0.00022208132,0.0029697283,0.000060396775,0.000034589833,0.000056259458,0.00017932752,0.00019809969,0.008814885,0.9857165,0.0008853222,0.00024156168],"about_ca_topic_score_codex":0.00003721511,"about_ca_topic_score_gemma":0.00001660527,"teacher_disagreement_score":0.06865857,"about_ca_system_score_codex":0.000025747007,"about_ca_system_score_gemma":0.000064457636,"threshold_uncertainty_score":0.9981607},"labels":[],"label_agreement":null},{"id":"W2088330713","doi":"10.4310/atmp.2012.v16.n5.a3","title":"Topological recursion and mirror curves","year":2012,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission; University of Alberta; U.S. Department of Energy","keywords":"Recursion (computer science); Symplectic geometry; Constant (computer programming); Mirror symmetry; Topology (electrical circuits); Scope (computer science)","score_opus":0.021482076264465744,"score_gpt":0.3278132421063728,"score_spread":0.30633116584190706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088330713","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84747595,0.02471895,0.062055558,0.003914883,0.00044274866,0.00085062947,0.000014542923,0.0002013071,0.060325433],"genre_scores_gemma":[0.9774518,0.0025682105,0.01936703,0.00039570985,0.00009178729,0.000022651882,0.0000013075371,0.00001417829,0.00008732631],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988297,0.000095705545,0.00028473744,0.00020815406,0.00016511313,0.0004165471],"domain_scores_gemma":[0.9976441,0.0019457418,0.00003989382,0.00016018095,0.000027124343,0.00018294214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004717612,0.00017400415,0.00039460714,0.000034380388,0.00005551505,0.000009216636,0.0000938678,0.000099631216,0.0005333738],"category_scores_gemma":[0.0018181525,0.000117333206,0.00004127797,0.00018276564,0.0012065329,0.00023311633,0.00014657903,0.00021927596,0.00003299265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013697017,0.00027888842,0.0005792343,0.00044985785,0.000004586365,0.0000017555453,0.00016680261,1.6248622e-8,0.00001562289,0.9910509,0.00007336589,0.0073652836],"study_design_scores_gemma":[0.00024159453,0.00008660744,0.00023965475,0.00017003456,0.000025606267,0.000028120092,0.00015316471,0.00005958682,0.00022309073,0.9979113,0.0006989841,0.0001622756],"about_ca_topic_score_codex":3.0683057e-7,"about_ca_topic_score_gemma":2.3433164e-7,"teacher_disagreement_score":0.12997586,"about_ca_system_score_codex":0.0000099968465,"about_ca_system_score_gemma":0.000004335051,"threshold_uncertainty_score":0.5840069},"labels":[],"label_agreement":null},{"id":"W2089879290","doi":"10.1090/s0002-9947-08-04253-0","title":"The parity of the Cochran–Harvey invariants of 3–manifolds","year":2008,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Ministry of Education and Human Resources Development","keywords":"Mathematics; Epimorphism; Combinatorics; Torsion (gastropod); Fundamental group; Parity (physics); Invariant (physics); Pure mathematics; Mathematical physics","score_opus":0.03650851679861425,"score_gpt":0.2890333165925721,"score_spread":0.2525247997939578,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089879290","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90760845,0.00006933998,0.087585956,0.002388857,0.00013603276,0.00048412415,0.000053004456,0.000031626725,0.0016426307],"genre_scores_gemma":[0.9923981,0.00013107838,0.0066183,0.00007956622,0.000014338269,0.000013792092,1.7600787e-7,0.000017218199,0.00072742614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998183,0.00022378254,0.00068738696,0.0001475008,0.0004988321,0.00025949808],"domain_scores_gemma":[0.995776,0.002381471,0.00072260096,0.00092790666,0.00014192527,0.000050091145],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00066452,0.00015899175,0.0005723956,0.00002077712,0.00042466473,0.0000045700854,0.0008978548,0.00007309032,0.00016877895],"category_scores_gemma":[0.0005606806,0.00007617866,0.0008176403,0.0010319293,0.003277148,0.000041444717,0.00006132481,0.00030659145,0.000004481214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028895776,0.007756433,0.012571175,0.002687221,0.0042636087,0.00000205101,0.029747013,0.0002770466,0.011968953,0.90080124,0.021253798,0.008382519],"study_design_scores_gemma":[0.0015823247,0.00043863215,0.07615441,0.00028114655,0.0010194855,0.0001533369,0.009862577,0.0018358183,0.03323318,0.8744682,0.00046193806,0.0005089459],"about_ca_topic_score_codex":0.0002002445,"about_ca_topic_score_gemma":0.000019888803,"teacher_disagreement_score":0.08478968,"about_ca_system_score_codex":0.000028409444,"about_ca_system_score_gemma":0.000115531184,"threshold_uncertainty_score":0.99943537},"labels":[],"label_agreement":null},{"id":"W2090095148","doi":"10.1142/s0219498808003120","title":"MODULAR REDUCTION OF THE STEINBERG LATTICE OF THE GENERAL LINEAR GROUP","year":2008,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Geometric and Algebraic Topology","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":"Modular design; Multiplicity (mathematics); Reduction (mathematics); Mathematics; General linear group; Lattice (music); Pure mathematics; Dimensional reduction; Algebra over a field; Computer science; Physics; Mathematical analysis; Symmetric group; Mathematical physics; Geometry","score_opus":0.034693752929838034,"score_gpt":0.2949135661830601,"score_spread":0.2602198132532221,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090095148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.991085,0.0020156202,0.0038768146,0.0017703305,0.00036092196,0.000494976,0.000027175076,0.000006029234,0.00036315207],"genre_scores_gemma":[0.99092233,0.0020961193,0.005695435,0.000037763934,0.0005135641,0.00001981117,0.0000018552688,0.000019699586,0.0006934077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984598,0.00011312758,0.00081733963,0.00015115931,0.00033799844,0.00012056259],"domain_scores_gemma":[0.9971157,0.00017126997,0.0017470972,0.0005176979,0.00039544184,0.00005284029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035152867,0.00015164755,0.00042390212,0.00013986607,0.00013366486,0.0000074707827,0.0005418958,0.00021100885,0.000020822245],"category_scores_gemma":[0.00018565435,0.00008747718,0.00029761536,0.00038584616,0.00019720107,0.00004704979,0.00033737696,0.00059261237,8.510297e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006350588,0.0014507534,0.0010111728,0.0013064761,0.0011870068,0.0000020630182,0.0027229893,0.0014249914,0.02610893,0.9516542,0.0063505233,0.006717382],"study_design_scores_gemma":[0.0013856508,0.000263697,0.026959943,0.00052198436,0.0015212024,0.0011117848,0.0006798295,0.001395922,0.026435534,0.92400503,0.015224908,0.0004944873],"about_ca_topic_score_codex":0.000013052493,"about_ca_topic_score_gemma":0.0000012796116,"teacher_disagreement_score":0.027649147,"about_ca_system_score_codex":0.00002729079,"about_ca_system_score_gemma":0.0001405889,"threshold_uncertainty_score":0.35672158},"labels":[],"label_agreement":null},{"id":"W2091764943","doi":"10.1142/s0218216514500321","title":"Minimal diagrams of free knots","year":2014,"lang":"en","type":"preprint","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Combinatorics; Mathematics; Knot (papermaking); Knot theory; Graph; Tricolorability; Equivalence (formal languages); Skein relation; Discrete mathematics; Engineering","score_opus":0.041971587333824445,"score_gpt":0.3144319375778602,"score_spread":0.27246035024403575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091764943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9586689,0.0042531574,0.032141283,0.0011043632,0.00083476247,0.00027914712,0.00008024106,0.000021257783,0.0026168746],"genre_scores_gemma":[0.99465424,0.00044713487,0.003364755,0.000045221917,0.00035808884,0.00000627467,0.000004948995,0.000021418844,0.0010979001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796176,0.00044419078,0.0009991033,0.00018130998,0.00024052498,0.00017311338],"domain_scores_gemma":[0.9946158,0.0026753854,0.0015958223,0.00052790204,0.0004537621,0.0001313165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022328338,0.00020069256,0.0006843563,0.00042094404,0.00008625861,0.000024623025,0.00063394825,0.00030456806,0.00023099016],"category_scores_gemma":[0.006402016,0.00015884334,0.0002551794,0.00018535563,0.00019280813,0.00006199397,0.00028205075,0.0006658868,0.000007274796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007324255,0.00031000486,0.0001009714,0.00034595764,0.00024028917,0.0000032966855,0.00090611464,0.000018614664,0.0004482466,0.99010056,0.003236423,0.0042163054],"study_design_scores_gemma":[0.0004859289,0.00016857246,0.0028754494,0.0001987935,0.0003549321,0.00008090788,0.0003532771,0.000066134795,0.00078545423,0.9923402,0.0021229254,0.00016741423],"about_ca_topic_score_codex":0.0000011882196,"about_ca_topic_score_gemma":0.0000016664931,"teacher_disagreement_score":0.035985343,"about_ca_system_score_codex":0.000020750718,"about_ca_system_score_gemma":0.00014880682,"threshold_uncertainty_score":0.76642734},"labels":[],"label_agreement":null},{"id":"W2092654178","doi":"10.4153/cmb-2006-056-8","title":"On the Polyak–Viro Vassiliev Invariant of Degree 4","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Triviality; Gauss; Degree (music); Finite type invariant; Invariant (physics); Pure mathematics; Diagram; Polynomial; Mathematical physics; Mathematical analysis; Invariant polynomial; Statistics; Physics; Matrix polynomial; Quantum mechanics","score_opus":0.04036938467333785,"score_gpt":0.23918670735247274,"score_spread":0.19881732267913488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092654178","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4714448,0.00012109028,0.0051924996,0.047221787,0.00016372508,0.00078899506,0.00006713787,0.00008719832,0.47491276],"genre_scores_gemma":[0.98858094,0.000001228792,0.0022847427,0.0010509194,0.00008823096,0.000027577793,0.0000031699644,0.000032324555,0.007930852],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838555,0.00010886624,0.00049178104,0.00022475507,0.0002806311,0.0005084192],"domain_scores_gemma":[0.9961179,0.0028622844,0.00013763898,0.00058219343,0.000054302363,0.0002456802],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00061579415,0.00020116541,0.00037288,0.00023230424,0.00013459435,0.000024579025,0.00041905465,0.00015779272,0.031078106],"category_scores_gemma":[0.0026534356,0.00013162337,0.00013281956,0.00033172214,0.00027987352,0.000010291279,0.000039452945,0.00024584166,0.004143824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036471413,0.00007626047,0.000025614807,0.000042571945,0.000016822347,0.00002300395,0.000044956523,9.623756e-7,0.000022443573,0.87230617,0.12723978,0.00019778045],"study_design_scores_gemma":[0.0002310206,0.00006596227,0.00049002055,0.00005830314,0.00003464807,0.000032605694,0.00012309439,0.000043432316,0.00035478285,0.98261684,0.015780482,0.0001688161],"about_ca_topic_score_codex":0.0028397306,"about_ca_topic_score_gemma":0.0018436062,"teacher_disagreement_score":0.51713616,"about_ca_system_score_codex":0.00008724594,"about_ca_system_score_gemma":0.00015933908,"threshold_uncertainty_score":0.99663156},"labels":[],"label_agreement":null},{"id":"W2093220475","doi":"10.1017/s0004972700035565","title":"Parallel metrics and reducibility of the holonomy group","year":2006,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Geometric and Algebraic Topology","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 Western University; Western University","funders":"","keywords":"Holonomy; Mathematics; Connection (principal bundle); Signature (topology); Group (periodic table); Parallel transport; Manifold (fluid mechanics); Metric (unit); Pure mathematics; Dimension (graph theory); Topology (electrical circuits); Combinatorics; Geometry","score_opus":0.03514099861276498,"score_gpt":0.2731767726547121,"score_spread":0.2380357740419471,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093220475","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9774782,0.00008051246,0.0021619205,0.0154887205,0.00012432916,0.00068437814,0.000023824025,0.000034791487,0.0039233263],"genre_scores_gemma":[0.94309723,0.000004839437,0.049510017,0.00009493074,0.00004811156,0.000012160031,6.160643e-7,0.00001609277,0.0072160256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99831533,0.0001468257,0.00064696086,0.0002521927,0.00035602736,0.0002826447],"domain_scores_gemma":[0.9976494,0.0010197491,0.00042090734,0.00079396536,0.00006579435,0.00005020957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011073621,0.0001776023,0.00044446185,0.000022155436,0.00012112045,0.000012535484,0.0005635909,0.00018694792,0.00054812647],"category_scores_gemma":[0.0011269088,0.00009684478,0.0004925666,0.00045798006,0.00096755655,0.0000124464705,0.0003383178,0.00026134198,0.000010096713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000135113305,0.0009731136,0.012325605,0.0011867854,0.0001516876,4.0217049e-7,0.0005382738,0.000009255665,0.00040528117,0.748331,0.23581117,0.00025389955],"study_design_scores_gemma":[0.0006093438,0.00005067914,0.038106244,0.00009019195,0.00018476846,0.000021589207,0.0005439121,0.000031113785,0.0020299193,0.9481096,0.010040448,0.00018214204],"about_ca_topic_score_codex":0.00009557366,"about_ca_topic_score_gemma":0.0000013444815,"teacher_disagreement_score":0.22577073,"about_ca_system_score_codex":0.000030916624,"about_ca_system_score_gemma":0.000020345104,"threshold_uncertainty_score":0.60016006},"labels":[],"label_agreement":null},{"id":"W2093467695","doi":"10.4171/ggd/119","title":"Scale-invariant groups","year":2011,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Hungarian Scientific Research Fund; Microsoft Research; American Institute of Mathematics; National Science Foundation","keywords":"Mathematics; Combinatorics; Invariant (physics); Conjecture; Abelian group; Nilpotent; Scale invariance; Finite type invariant; Cayley graph; Discrete mathematics; Pure mathematics; Invariant polynomial; Polynomial; Mathematical analysis","score_opus":0.030033364297496503,"score_gpt":0.26619092677358686,"score_spread":0.23615756247609035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093467695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87931305,0.0009550811,0.10209247,0.000456592,0.002352469,0.0006662577,0.00029208834,0.00041018196,0.013461835],"genre_scores_gemma":[0.9757653,0.0005634587,0.019507147,0.0002448731,0.00053151464,0.00006367544,0.0002548607,0.00011643808,0.0029527708],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99675274,0.00015199305,0.0008230222,0.0010804881,0.00038928183,0.0008024562],"domain_scores_gemma":[0.9972061,0.0006052307,0.0005268,0.0011864337,0.00012713665,0.00034832122],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00093314156,0.00071180373,0.0011752471,0.0010074965,0.00023023244,0.00011698068,0.00071090634,0.0012849602,0.00044677686],"category_scores_gemma":[0.00054837996,0.00058669475,0.00031153738,0.0007709561,0.0003732001,0.0001126958,0.0020427487,0.0015435225,0.00007448295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008021079,0.000572085,0.012735351,0.0016409345,0.0004415264,0.00013572436,0.0010819974,0.0000097289385,0.0000051092334,0.9556851,0.0014243468,0.026187925],"study_design_scores_gemma":[0.00057725963,0.00014243134,0.007185476,0.000133418,0.00031312194,0.00018852753,0.00054941076,0.0026112485,0.000015158307,0.98716235,0.00024900114,0.00087259227],"about_ca_topic_score_codex":0.00017074171,"about_ca_topic_score_gemma":0.00018895724,"teacher_disagreement_score":0.09645223,"about_ca_system_score_codex":0.00014541527,"about_ca_system_score_gemma":0.000094183466,"threshold_uncertainty_score":0.99965847},"labels":[],"label_agreement":null},{"id":"W2094348164","doi":"10.2478/s12175-014-0228-4","title":"Low-dimensional topology and ordering groups","year":2014,"lang":"en","type":"article","venue":"Mathematica Slovaca","topic":"Geometric and Algebraic Topology","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; Braid group; Section (typography); Topology (electrical circuits); Braid; Group (periodic table); Pure mathematics; Taste; Combinatorics; Computer science; Geography; Psychology","score_opus":0.020299246455943908,"score_gpt":0.2663252681658843,"score_spread":0.2460260217099404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094348164","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9561226,0.00008241967,0.02544071,0.0011301899,0.00020264501,0.00019531976,0.0000014036414,0.00016987014,0.016654845],"genre_scores_gemma":[0.96218383,0.000007397469,0.036264874,0.0003385837,0.00012955065,0.000020411948,0.0000018489187,0.00003319839,0.0010203215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867535,0.00007814198,0.0003783375,0.00030537447,0.00019657654,0.00036619743],"domain_scores_gemma":[0.99800223,0.001335122,0.0001213863,0.00037305366,0.00004436105,0.00012385199],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044021592,0.00020377069,0.00044124384,0.00020836137,0.00012824924,0.000023164232,0.00018132881,0.00014605762,0.000829677],"category_scores_gemma":[0.0013159723,0.00016808398,0.0000632807,0.00025333095,0.00018109445,0.000060349874,0.00019945133,0.00017610495,0.00019580334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007167767,0.00013315867,0.00010085895,0.00024631206,0.000037585454,0.0000060640646,0.0004573386,0.0000011612699,0.00036062565,0.99254006,0.0021713334,0.0039383452],"study_design_scores_gemma":[0.000574002,0.00010002509,0.0003446123,0.000050842067,0.000042112777,0.00017944105,0.0001857672,0.0013158537,0.0007589701,0.9931916,0.0030071277,0.0002496175],"about_ca_topic_score_codex":0.0000044204403,"about_ca_topic_score_gemma":0.0000043310893,"teacher_disagreement_score":0.015634524,"about_ca_system_score_codex":0.000015483298,"about_ca_system_score_gemma":0.000013784031,"threshold_uncertainty_score":0.9084381},"labels":[],"label_agreement":null},{"id":"W2094626004","doi":"10.5539/jmr.v3n4p141","title":"Higher Dimensional Irreducible Representations of the Pure Braid Group","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric and Algebraic Topology","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":"Irreducibility; Mathematics; Braid group; Tensor product; Irreducible representation; Product (mathematics); Combinatorics; Tensor (intrinsic definition); Braid; Wreath product; Generalization; Group (periodic table); Representation (politics); Algebra over a field; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.2767633934954559,"score_gpt":0.4265446373478648,"score_spread":0.14978124385240887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094626004","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9705602,0.00030484545,0.0013593845,0.001696486,0.0006477836,0.00034940132,0.0000073950864,0.00001190038,0.025062617],"genre_scores_gemma":[0.95629805,0.000022090604,0.03852256,0.000022019978,0.00014831808,0.000005451195,3.0069955e-7,0.000025503303,0.004955687],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99702245,0.0003047864,0.0008580922,0.00012687675,0.0013648368,0.00032296136],"domain_scores_gemma":[0.99586093,0.0020133061,0.0006109796,0.0005718042,0.00082570355,0.000117243326],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0034700977,0.00011086214,0.00037193391,0.0004988447,0.00015260703,0.000018047003,0.0007851852,0.00011164777,0.0017300836],"category_scores_gemma":[0.002866375,0.000065055625,0.00023780287,0.00095795124,0.0003808092,0.00012354733,0.00029381196,0.00067875267,0.000026939237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059780225,0.0028276327,0.0026125226,0.00046247122,0.00034241707,0.00004640399,0.00580657,0.000005123551,0.006229045,0.92143583,0.059612747,0.00055946584],"study_design_scores_gemma":[0.0005483492,0.00024864287,0.006160886,0.00016870424,0.0000551829,0.0002358355,0.0017760266,0.00003619422,0.0063211625,0.9837112,0.0006525553,0.00008526245],"about_ca_topic_score_codex":0.000017956429,"about_ca_topic_score_gemma":0.0000055012842,"teacher_disagreement_score":0.06227538,"about_ca_system_score_codex":0.000044394823,"about_ca_system_score_gemma":0.00016590273,"threshold_uncertainty_score":0.99918246},"labels":[],"label_agreement":null},{"id":"W2095024551","doi":"10.1007/s00014-004-0814-0","title":"Symplectic homology and periodic orbits near symplectic submanifolds","year":2004,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of California, Santa Cruz; National Science Foundation","keywords":"Mathematics; Symplectic geometry; Submanifold; Symplectic manifold; Pure mathematics; Contractible space; Geodesic; Homology (biology); Symplectomorphism; Mathematical analysis; Floer homology; Bounded function","score_opus":0.041242963369405895,"score_gpt":0.30390466112239606,"score_spread":0.26266169775299014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095024551","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9809901,0.0005232801,0.008303805,0.005502094,0.00031636457,0.0007790743,0.000009886785,0.00028018866,0.003295197],"genre_scores_gemma":[0.98203313,0.00005249735,0.015796365,0.0014557597,0.000084829415,0.00010558863,0.000010536648,0.000089005305,0.0003722933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971618,0.00015434135,0.0008034422,0.0005934316,0.00037808256,0.00090891175],"domain_scores_gemma":[0.99740154,0.0012208822,0.00029450323,0.0006987893,0.00009576718,0.0002884962],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005918481,0.00050080474,0.0008819439,0.00033343467,0.0006120556,0.00016305954,0.00044541594,0.0002504018,0.0010528166],"category_scores_gemma":[0.00088315876,0.00045587175,0.00015808508,0.0006521096,0.0005619887,0.00014736017,0.00034858153,0.000429816,0.00029120522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003510188,0.0010616811,0.0017877809,0.00077290897,0.00035622733,0.000165293,0.007952831,0.000008211754,0.00037153912,0.98410356,0.0025465395,0.0008383452],"study_design_scores_gemma":[0.0025336968,0.00078942365,0.0013311289,0.0001501186,0.00039758137,0.0020586445,0.0013767186,0.00013819968,0.00087857357,0.98884326,0.00088255346,0.0006200773],"about_ca_topic_score_codex":0.00019023851,"about_ca_topic_score_gemma":0.00018767668,"teacher_disagreement_score":0.00749256,"about_ca_system_score_codex":0.00026249475,"about_ca_system_score_gemma":0.00015678439,"threshold_uncertainty_score":0.99986035},"labels":[],"label_agreement":null},{"id":"W2095490169","doi":"10.1063/1.2146190","title":"On Chern-Simons theory with an inhomogeneous gauge group and BF theory knot invariants","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Chern–Simons theory; Knot (papermaking); Mathematical physics; Knot theory; Gauge group; Gauge theory; Knot polynomial; Mathematics; Group (periodic table); Knot invariant; Algebra over a field; Theoretical physics; Pure mathematics; Physics; Quantum mechanics","score_opus":0.02764087421883491,"score_gpt":0.281408555292271,"score_spread":0.25376768107343606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095490169","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84604573,0.00013984852,0.1469426,0.00032079004,0.00006110449,0.0001865637,0.0000074172563,0.000035948844,0.006259969],"genre_scores_gemma":[0.969625,0.000017939332,0.029105658,0.0003780478,0.0004745873,0.0000034768661,8.774685e-7,0.000051243424,0.00034319048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981559,0.00028465313,0.00058381236,0.00019098958,0.00046133355,0.00032329583],"domain_scores_gemma":[0.99617213,0.0026361975,0.00048295912,0.00034603474,0.000107677384,0.0002549937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014455796,0.00026361106,0.00061643927,0.00012765516,0.00010031287,0.00004796485,0.0002944952,0.00012702955,0.0003364285],"category_scores_gemma":[0.000858944,0.00016839086,0.00014405244,0.00022978042,0.0002595564,0.0002441696,0.00006395756,0.0004854635,0.000044013308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003047123,0.0012869437,0.000014897862,0.00008177922,0.00017702753,0.000055983583,0.0008902083,0.0000117764475,0.0001133284,0.9814043,0.0003041831,0.01535483],"study_design_scores_gemma":[0.0010980736,0.0012018026,0.00008300571,0.00013628209,0.00020534973,0.00048789356,0.00044077216,0.00016008831,0.0004088858,0.99547446,0.000096737276,0.00020664146],"about_ca_topic_score_codex":4.1027846e-7,"about_ca_topic_score_gemma":0.0000017481788,"teacher_disagreement_score":0.12357922,"about_ca_system_score_codex":0.00004774696,"about_ca_system_score_gemma":0.000054936547,"threshold_uncertainty_score":0.686678},"labels":[],"label_agreement":null},{"id":"W2095648046","doi":"10.1142/s0218216512501301","title":"LEFT ORDERINGS AND QUOTIENTS OF THE BRAID GROUPS","year":2012,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Braid group; Homomorphism; Injective function; Braid; Quotient; Image (mathematics); Combinatorics; Monomorphism; Group (periodic table); Discrete mathematics; Pure mathematics","score_opus":0.027774416608036537,"score_gpt":0.2882706834182197,"score_spread":0.2604962668101832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095648046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950867,0.0015252621,0.0019339536,0.000595172,0.00020101163,0.000069156,0.0000035463281,0.000003648429,0.0005815448],"genre_scores_gemma":[0.99865586,0.00013121874,0.00035553015,0.00006133021,0.000073428935,5.487661e-7,1.6843155e-7,0.0000059936306,0.00071594515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993027,0.0001400245,0.00029710712,0.000046962876,0.00010248417,0.00011072571],"domain_scores_gemma":[0.99869704,0.000681657,0.0003353194,0.00011753317,0.00009919323,0.00006928013],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009740465,0.00006244654,0.00015616407,0.00009839679,0.000107394066,0.000007796485,0.00012775972,0.000046065903,0.00008190385],"category_scores_gemma":[0.0012944407,0.00003833775,0.000049757142,0.00014366828,0.00011761801,0.00015013348,0.00004597113,0.00013690909,0.0000019432243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017041497,0.00014807974,0.004929839,0.000037537993,0.000044983168,1.2598895e-7,0.0023357722,3.8658416e-7,0.0019316354,0.9888939,0.00020248428,0.0014581933],"study_design_scores_gemma":[0.00086660375,0.00016365136,0.18215384,0.00009697052,0.00025876515,0.0004587527,0.0035294585,0.000015586023,0.0051203743,0.7998107,0.0073562036,0.00016907934],"about_ca_topic_score_codex":3.833575e-7,"about_ca_topic_score_gemma":4.383561e-7,"teacher_disagreement_score":0.1890832,"about_ca_system_score_codex":0.0000063995717,"about_ca_system_score_gemma":0.000019403098,"threshold_uncertainty_score":0.1563368},"labels":[],"label_agreement":null},{"id":"W2095726999","doi":"10.2140/gt.2004.8.743","title":"Constructing symplectic forms on 4–manifolds which vanish on circles","year":2004,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"National Science Foundation","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Sign (mathematics); Complement (music); Symplectic manifold; Symplectomorphism; Moment map; Mathematical analysis; Combinatorics","score_opus":0.029500058187812497,"score_gpt":0.2964033408279026,"score_spread":0.2669032826400901,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095726999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9548672,0.00007468937,0.002925733,0.002995796,0.00148493,0.00035650271,0.000016851804,0.0002851561,0.03699316],"genre_scores_gemma":[0.9958879,0.000018572588,0.002278525,0.0009885064,0.0003380649,0.000035545934,0.000013377274,0.00005531824,0.00038420892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99737036,0.00009580908,0.0005732962,0.0006559407,0.0003383662,0.00096620416],"domain_scores_gemma":[0.99703777,0.0017180138,0.00027621927,0.0006623148,0.00012746893,0.0001782224],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047802174,0.00037095178,0.0006694623,0.0010555945,0.00030717344,0.00003867902,0.00042693093,0.000383005,0.0009921102],"category_scores_gemma":[0.003079842,0.00033760513,0.00015727807,0.0017429915,0.00028585063,0.000091292255,0.00013925556,0.0005941439,0.0006153749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000400283,0.0002635483,0.00202168,0.000052320658,0.000107632775,0.00005464217,0.00015709452,0.000036029738,0.000077366894,0.9812483,0.00038761893,0.015553698],"study_design_scores_gemma":[0.0018927698,0.0016813953,0.0043994007,0.00005500703,0.000079884354,0.0006701436,0.0012147893,0.0000059677386,0.004279743,0.9838463,0.0013539932,0.000520574],"about_ca_topic_score_codex":0.000093189556,"about_ca_topic_score_gemma":0.0003068114,"teacher_disagreement_score":0.0410207,"about_ca_system_score_codex":0.00030564933,"about_ca_system_score_gemma":0.00012247419,"threshold_uncertainty_score":0.99992114},"labels":[],"label_agreement":null},{"id":"W2096078138","doi":"10.1007/s00039-005-0525-8","title":"Coherence, local quasiconvexity, and the perimeter of 2-complexes","year":2005,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Quasiconvex function; Coherence (philosophical gambling strategy); Pure mathematics; Finitely-generated abelian group; Quadratic equation; Torsion (gastropod); Group (periodic table); Geometry; Regular polygon","score_opus":0.02962540349964115,"score_gpt":0.25910416298881567,"score_spread":0.2294787594891745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096078138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8350812,0.0058105825,0.15404658,0.0017753339,0.00008146472,0.00012548057,0.000020912847,0.000034147273,0.0030243048],"genre_scores_gemma":[0.99587005,0.00007458313,0.0013028126,0.00013552226,0.00009827249,0.000008479084,0.0000060202956,0.0000055528726,0.0024986982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989926,0.00005567198,0.00031066773,0.00022580689,0.00026089515,0.00015432564],"domain_scores_gemma":[0.9982845,0.0013071235,0.000108220745,0.00015246302,0.0000877629,0.00005992645],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00056866516,0.000121546705,0.00043052237,0.0013881563,0.000107435546,0.00002680963,0.00007258185,0.00006620819,0.0010911097],"category_scores_gemma":[0.00026257194,0.00007114239,0.0001951859,0.0043006497,0.00066774525,0.000055467637,0.000093410876,0.000118877084,0.000021586873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002705843,0.00032535975,0.06277475,0.00015136345,0.0068178424,0.0000029941934,0.0005320364,0.0001954702,0.00004476114,0.8060106,0.00777143,0.115102805],"study_design_scores_gemma":[0.0046705534,0.0003321019,0.35414612,0.000017821012,0.011255332,0.00012016838,0.0023482605,0.0151838,0.00047078598,0.59668607,0.014051471,0.0007174879],"about_ca_topic_score_codex":0.00013789986,"about_ca_topic_score_gemma":0.000031232477,"teacher_disagreement_score":0.29137138,"about_ca_system_score_codex":0.00001158994,"about_ca_system_score_gemma":0.00001534968,"threshold_uncertainty_score":0.999822},"labels":[],"label_agreement":null},{"id":"W2096750250","doi":"10.4310/jdg/1393424918","title":"Manifolds without conjugate points and their fundamental groups","year":2014,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Geometric and Algebraic Topology","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":"Mathematics; Conjugate points; Conjugate; Pure mathematics; Fundamental group; Mathematical analysis","score_opus":0.019403006519727713,"score_gpt":0.26403438423128484,"score_spread":0.24463137771155713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096750250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98042256,0.00016061788,0.017595695,0.00030318883,0.00077632366,0.00007626635,0.000006076818,0.000019198707,0.0006400569],"genre_scores_gemma":[0.99750024,0.00004487272,0.0013977552,0.00013842924,0.0005429653,8.6502456e-7,0.0000015028223,0.000026161804,0.00034720745],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99850184,0.00013188382,0.0006013496,0.00016597337,0.00028732154,0.00031165808],"domain_scores_gemma":[0.9985169,0.00043926347,0.0005506371,0.00018502238,0.00009856561,0.0002095996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054294814,0.000225383,0.0006187847,0.00054845057,0.000093851166,0.00006779838,0.00024296586,0.00013348782,0.00060679845],"category_scores_gemma":[0.00040713075,0.00015272542,0.00018452338,0.00026329854,0.00012818184,0.00013428756,0.00013429277,0.00029700945,0.0000127610165],"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":[0.0013153363,0.0034878827,0.41699028,0.0011048168,0.0033179626,0.00013247554,0.0039964425,0.0000019684892,0.02912009,0.4138862,0.013584009,0.11306254],"study_design_scores_gemma":[0.010739485,0.0033050706,0.21218175,0.00028639493,0.00056228484,0.0026105968,0.002550273,0.00035851018,0.009087533,0.751387,0.0058771903,0.0010539307],"about_ca_topic_score_codex":0.0000036578128,"about_ca_topic_score_gemma":0.0000036968365,"teacher_disagreement_score":0.33750078,"about_ca_system_score_codex":0.000030392957,"about_ca_system_score_gemma":0.000018525512,"threshold_uncertainty_score":0.6644017},"labels":[],"label_agreement":null},{"id":"W2096903203","doi":"10.1142/s1793525309000084","title":"TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS","year":2009,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":41,"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; Hausdorff Center for Mathematics","keywords":"Mathematics; Cobordism; Fundamental group; Equivariant map; Homeomorphism (graph theory); Pure mathematics; Invariant (physics); Intersection (aeronautics); Topology (electrical circuits); Discrete mathematics; Combinatorics","score_opus":0.02017325873281515,"score_gpt":0.29748850788725417,"score_spread":0.277315249154439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096903203","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9891025,0.0005730641,0.005403715,0.003959665,0.00008503752,0.000041341853,0.0000028781494,0.000014589028,0.0008172414],"genre_scores_gemma":[0.98686194,0.000036425878,0.011746265,0.00079687533,0.00015969906,5.098768e-7,0.0000022965137,0.0000052253954,0.00039077472],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998442,0.00013556874,0.00058981596,0.00021335564,0.00031000623,0.0003092653],"domain_scores_gemma":[0.99840003,0.000612296,0.00048326055,0.0001561059,0.0001586151,0.00018971524],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006352876,0.00018301653,0.0008094594,0.0013158142,0.00014880383,0.00002328096,0.00019728218,0.00015849531,0.00095847226],"category_scores_gemma":[0.00030940745,0.00011492048,0.0003023723,0.001605484,0.00028371013,0.000109129665,0.000044472163,0.00035840165,0.0000044051963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001436885,0.0027481234,0.38275415,0.000030224232,0.010020951,0.0024847286,0.00058489386,0.00066952227,0.00078196573,0.57563156,0.0032612698,0.019595709],"study_design_scores_gemma":[0.0047474764,0.007591285,0.37761804,0.000024498346,0.007013872,0.0050396677,0.0009352509,0.00045058786,0.00025372108,0.5951109,0.0005717192,0.000642964],"about_ca_topic_score_codex":0.000010916269,"about_ca_topic_score_gemma":0.000014634209,"teacher_disagreement_score":0.019479347,"about_ca_system_score_codex":0.00003625547,"about_ca_system_score_gemma":0.000038983944,"threshold_uncertainty_score":0.99995476},"labels":[],"label_agreement":null},{"id":"W2097752193","doi":"10.1142/s0218216502002189","title":"THE MULTI-VARIABLE ALEXANDER POLYNOMIAL OF LENS BRAIDS","year":2002,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; University of Toronto","keywords":"Braid; Braid group; Mathematics; Alexander polynomial; Braid theory; Combinatorics; Variable (mathematics); Prime (order theory); Polynomial; Mathematical analysis; Knot (papermaking); Knot theory","score_opus":0.06917344239881096,"score_gpt":0.30090140187568365,"score_spread":0.2317279594768727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097752193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8535831,0.022268575,0.0922768,0.008789093,0.0013913696,0.0005698491,0.000051020565,0.00004717712,0.02102303],"genre_scores_gemma":[0.98517245,0.0007216777,0.002750254,0.00007256158,0.00012580992,0.0000019229842,3.0770042e-7,0.00000934462,0.01114568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896884,0.00021790258,0.00048065657,0.0000729275,0.00011925293,0.0001404238],"domain_scores_gemma":[0.99694926,0.0022142844,0.00041536093,0.00017416094,0.00018925122,0.00005769017],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012940401,0.00008058839,0.00020747351,0.00013138678,0.00022702065,0.000019486055,0.00020562875,0.00006979097,0.00051531586],"category_scores_gemma":[0.0023823457,0.000050429386,0.00008067655,0.00025941682,0.00015607296,0.00012350525,0.000026224481,0.00019425766,0.000009057283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032904096,0.00024167738,0.000088356515,0.000017617496,0.00010861117,9.321282e-7,0.0006781863,0.000006727695,0.0015630213,0.9882615,0.0059113577,0.003089108],"study_design_scores_gemma":[0.006309233,0.0010298854,0.008678391,0.0001951117,0.0009679205,0.0010094424,0.0068584797,0.003136698,0.0067236535,0.72829264,0.2361063,0.00069221307],"about_ca_topic_score_codex":7.4906615e-7,"about_ca_topic_score_gemma":9.4646896e-7,"teacher_disagreement_score":0.25996882,"about_ca_system_score_codex":0.000010917395,"about_ca_system_score_gemma":0.000030613435,"threshold_uncertainty_score":0.56423473},"labels":[],"label_agreement":null},{"id":"W2097788688","doi":"10.1016/j.jalgebra.2010.09.019","title":"Filtrations and distortion in infinite-dimensional algebras","year":2010,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Subalgebra; Filtration (mathematics); Distortion (music); Pure mathematics; Algebra over a field; Lie algebra; Cartan subalgebra; Metric (unit); Algebra representation; Lie conformal algebra; Adjoint representation of a Lie algebra; Computer science","score_opus":0.020017815101720623,"score_gpt":0.2860859860446766,"score_spread":0.266068170942956,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2097788688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9971866,0.0001237016,0.0004459839,0.0011242967,0.00047778722,0.000053673342,0.000001915882,0.0000085592,0.00057748583],"genre_scores_gemma":[0.9912902,0.0000165872,0.00822933,0.00012880165,0.0001894617,0.000001323048,0.0000010942872,0.000009721801,0.00013347958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989934,0.00004192744,0.0005125331,0.00009159002,0.00021028046,0.00015026762],"domain_scores_gemma":[0.9987794,0.0005719281,0.0003113645,0.000115073766,0.00012013973,0.00010209718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053730747,0.00009483972,0.0002349683,0.0004178974,0.000051517723,0.000021695569,0.000103364044,0.00010984467,0.00040183874],"category_scores_gemma":[0.0014214447,0.00007708172,0.000063420215,0.000291151,0.00010185379,0.00021195781,0.00003041363,0.00049408356,0.000008442767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013302614,0.000972575,0.10979568,0.00007774755,0.00013925698,0.00021548462,0.001780992,0.000018200468,0.014736716,0.8379693,0.014896312,0.019264711],"study_design_scores_gemma":[0.0015731961,0.00034211314,0.19968566,0.000042868305,0.00005757221,0.0010651904,0.0002433018,0.00006341926,0.0010993938,0.7925276,0.0030826824,0.00021698828],"about_ca_topic_score_codex":0.00000863822,"about_ca_topic_score_gemma":0.000084972206,"teacher_disagreement_score":0.08988999,"about_ca_system_score_codex":0.00001679486,"about_ca_system_score_gemma":0.00008237928,"threshold_uncertainty_score":0.43998525},"labels":[],"label_agreement":null},{"id":"W2098420962","doi":"10.1007/s00222-008-0118-x","title":"Exotic smooth structures on small 4-manifolds","year":2008,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Diffeomorphism; Symplectic geometry; Construct (python library); Symplectomorphism; Algebra over a field","score_opus":0.15902042179761017,"score_gpt":0.30046252688439873,"score_spread":0.14144210508678856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2098420962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96521866,0.00009941283,0.010515232,0.00045559581,0.00035644992,0.00036511908,0.000005736904,0.00030451993,0.022679266],"genre_scores_gemma":[0.97419953,0.000020631598,0.019398648,0.00022145998,0.00015482787,0.00003795087,0.0000057453667,0.00004809007,0.0059130853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983538,0.00008181026,0.00052524434,0.0003170984,0.0003446573,0.00037740706],"domain_scores_gemma":[0.9984136,0.00059738616,0.00023079217,0.0005650495,0.00007091683,0.00012222276],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00026352942,0.00026105324,0.00042735643,0.0003136433,0.00024258452,0.00002256608,0.00031624938,0.00014688741,0.0015899589],"category_scores_gemma":[0.00081554946,0.00021082585,0.00021385361,0.00039996774,0.0001846382,0.000063244624,0.00007586813,0.00019082824,0.00069401733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009789747,0.00034453135,0.00028342765,0.0002001854,0.000060768765,0.00008107131,0.00051744864,0.0000032873138,0.00007037523,0.994234,0.0035390074,0.00065610185],"study_design_scores_gemma":[0.00047801706,0.00013077633,0.0029578866,0.00006450683,0.000052211446,0.00034499905,0.00017236326,0.00008060005,0.0007000618,0.99373674,0.0010326391,0.00024917236],"about_ca_topic_score_codex":0.0000071952772,"about_ca_topic_score_gemma":0.0000068164036,"teacher_disagreement_score":0.016766181,"about_ca_system_score_codex":0.000039172945,"about_ca_system_score_gemma":0.000035959303,"threshold_uncertainty_score":0.9993227},"labels":[],"label_agreement":null},{"id":"W2100948744","doi":"10.2140/agt.2010.10.925","title":"Convexity package for momentum maps on contact manifolds","year":2010,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"National Science Council; Natural Sciences and Engineering Research Council of Canada; National Center for Theoretical Sciences","keywords":"Mathematics; Zero (linguistics); Convexity; Manifold (fluid mechanics); Combinatorics; Image (mathematics); Momentum (technical analysis); Regular polygon; Torus; Set (abstract data type); Pure mathematics; Geometry; Topology (electrical circuits); Mathematical analysis; Artificial intelligence; Computer science","score_opus":0.032272907601279696,"score_gpt":0.3036616234851335,"score_spread":0.27138871588385377,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100948744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94798934,0.00022946623,0.015812248,0.00537517,0.006441348,0.0017092878,0.00021505872,0.00050166954,0.021726405],"genre_scores_gemma":[0.98704,0.00003278157,0.0036214269,0.001518809,0.0007531544,0.00024326889,0.00008394904,0.00010312471,0.0066035003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960301,0.00016174668,0.000905312,0.0010114469,0.00045694807,0.0014344802],"domain_scores_gemma":[0.9920603,0.0055668266,0.000476284,0.0012702021,0.00022902324,0.00039733978],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001288856,0.00059542357,0.0010812639,0.0023936266,0.0003614567,0.000056899335,0.0009191654,0.000813545,0.0042238277],"category_scores_gemma":[0.006036321,0.000537824,0.0004219273,0.0027559367,0.000420183,0.00013816914,0.0002251296,0.00097305025,0.0006650875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011197061,0.0005315806,0.0023656709,0.00008157497,0.0002042461,0.00004119367,0.000106737025,1.5425996e-7,0.0012150321,0.95210093,0.034404956,0.008835944],"study_design_scores_gemma":[0.004119938,0.0022277215,0.013614304,0.000012175947,0.00019539717,0.0002275439,0.00030427705,0.000018747132,0.008086095,0.87813985,0.09215511,0.0008988435],"about_ca_topic_score_codex":0.000098025994,"about_ca_topic_score_gemma":0.00009750055,"teacher_disagreement_score":0.073961094,"about_ca_system_score_codex":0.00009859282,"about_ca_system_score_gemma":0.00013065239,"threshold_uncertainty_score":0.99970734},"labels":[],"label_agreement":null},{"id":"W2101538842","doi":"10.4171/dm/195","title":"Parametrized braid groups of Chevalley groups.","year":2005,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Geometric and Algebraic Topology","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; Braid group; Group of Lie type; Pure mathematics; Braid theory; Group theory","score_opus":0.035980494841995336,"score_gpt":0.3231217172605759,"score_spread":0.2871412224185806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101538842","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9485425,0.00034327674,0.0137084685,0.0021767945,0.00019752917,0.00083712785,0.000016027841,0.00025038846,0.033927932],"genre_scores_gemma":[0.92249197,0.000042081712,0.07419964,0.0002124146,0.0001418738,0.000051125076,0.000007932639,0.000049913717,0.0028030567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975193,0.00009799086,0.0009737341,0.00035825607,0.00054597197,0.00050474895],"domain_scores_gemma":[0.99721134,0.0013470221,0.00044711746,0.00076256203,0.00007514618,0.00015684357],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00086505763,0.00030325362,0.0007856887,0.00038755697,0.00008088128,0.000038987808,0.00053108524,0.00015984432,0.005432797],"category_scores_gemma":[0.0011767166,0.0002547126,0.0002517683,0.0007275823,0.0001900166,0.00025504897,0.00019413592,0.00020362686,0.0005334327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043584092,0.0010916363,0.00022088127,0.0004737667,0.00024419528,0.0000069300586,0.0017608166,0.0000010896093,0.0017859237,0.9800304,0.009481163,0.004859586],"study_design_scores_gemma":[0.002377268,0.00021252457,0.00018439733,0.000100906036,0.0001932686,0.00007748805,0.0008670202,0.00021424975,0.016637059,0.97332364,0.00536532,0.00044685917],"about_ca_topic_score_codex":0.000009828836,"about_ca_topic_score_gemma":0.0000053327744,"teacher_disagreement_score":0.060491167,"about_ca_system_score_codex":0.00007910249,"about_ca_system_score_gemma":0.00003506718,"threshold_uncertainty_score":0.9999905},"labels":[],"label_agreement":null},{"id":"W2102492417","doi":"10.1142/s1793525312500100","title":"RELATIVE TWISTING IN OUTER SPACE","year":2012,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Projection (relational algebra); Translation (biology); Geometry; Automorphism; Group (periodic table); Space (punctuation); Outer space; Outer automorphism group; Pure mathematics; Annulus (botany); Surface (topology); Automorphism group; Algorithm; Physics; Computer science","score_opus":0.035881011955806,"score_gpt":0.3279033676263465,"score_spread":0.29202235567054047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102492417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9815325,0.0010963829,0.014159552,0.0014959407,0.00013656022,0.000017438791,6.830323e-7,0.0000033333704,0.0015575857],"genre_scores_gemma":[0.99021685,0.000046277997,0.008617362,0.00008437498,0.00012970214,3.1423065e-7,2.6084294e-7,0.0000033811298,0.0009015013],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991706,0.00012992758,0.00036289543,0.00006258363,0.00007736403,0.00019663983],"domain_scores_gemma":[0.9988371,0.00062873244,0.00033967823,0.000071687835,0.000048610327,0.000074165524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000629805,0.000072058465,0.00041791075,0.00076081336,0.00003586731,0.000004647916,0.000067307,0.00009966318,0.00021933547],"category_scores_gemma":[0.0008239894,0.000053245218,0.00014349412,0.00065063144,0.00009633116,0.00014822494,0.00003177593,0.0002477722,0.0000032419373],"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":[0.000018266903,0.00010505873,0.9011891,0.00000904235,0.00086300843,0.000037132995,0.001437177,0.0000073249175,0.000028765093,0.09475077,0.00030074306,0.0012536225],"study_design_scores_gemma":[0.0013893105,0.00025973996,0.4919711,0.00003140856,0.003826858,0.0006538039,0.004865403,0.00019279563,0.00017459616,0.49407294,0.002250004,0.00031202572],"about_ca_topic_score_codex":0.000016831635,"about_ca_topic_score_gemma":0.000024645491,"teacher_disagreement_score":0.40921798,"about_ca_system_score_codex":0.00001981413,"about_ca_system_score_gemma":0.000010885938,"threshold_uncertainty_score":0.24015695},"labels":[],"label_agreement":null},{"id":"W2102882870","doi":"10.1007/s10097-003-0052-6","title":"Rigidity and gluing for Morse and Novikov complexes","year":2003,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Université de Montréal","funders":"","keywords":"Novikov self-consistency principle; Mathematics; Rigidity (electromagnetism); Morse code; Morse theory; Pure mathematics; Composite material; Materials science","score_opus":0.04953293217923054,"score_gpt":0.29446833162492386,"score_spread":0.2449353994456933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102882870","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92787164,0.0002776223,0.06450493,0.00117612,0.00018591329,0.0002366431,0.000004963338,0.000017216864,0.0057249637],"genre_scores_gemma":[0.881806,0.000039695384,0.117098875,0.00024260572,0.00016528045,8.710054e-7,8.257999e-8,0.00002865883,0.0006179371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988802,0.00022708523,0.00043368153,0.00009871769,0.00017728138,0.0001830327],"domain_scores_gemma":[0.997987,0.0013469474,0.00033259872,0.00015262324,0.0000804868,0.00010039305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024088018,0.0001192474,0.00031103202,0.000020918822,0.00018610644,0.000040550727,0.00017338872,0.00003887469,0.000039582956],"category_scores_gemma":[0.0026970047,0.000067814624,0.0002405237,0.00010610737,0.00022514546,0.00006074938,0.00009302754,0.00021698535,0.0000025822203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019427367,0.0004327947,0.0013224513,0.0009012776,0.00036092862,0.000009911596,0.0045301747,0.00000306841,0.0015445934,0.9462976,0.04207409,0.0025036824],"study_design_scores_gemma":[0.0010078502,0.00009747024,0.0018755234,0.00010527889,0.00016407644,0.0005335999,0.0009595393,0.00016931341,0.00032950682,0.99049234,0.004132313,0.0001331988],"about_ca_topic_score_codex":2.2756807e-7,"about_ca_topic_score_gemma":1.2623464e-7,"teacher_disagreement_score":0.05259395,"about_ca_system_score_codex":0.000017558626,"about_ca_system_score_gemma":0.00001590706,"threshold_uncertainty_score":0.32287613},"labels":[],"label_agreement":null},{"id":"W2103995289","doi":"10.1017/s0017089515000129","title":"THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS","year":2015,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Bounded function; Invariant (physics); Embedding; Free group; Word problem (mathematics education); Norm (philosophy); Homogeneous; Cyclic group; Word (group theory); Finitely-generated abelian group; Pure mathematics; Combinatorics; Discrete mathematics; Group (periodic table); Geometry; Arithmetic; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.04603454469906599,"score_gpt":0.2921844984585906,"score_spread":0.24614995375952464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103995289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6717643,0.0058889273,0.27417576,0.021744257,0.0012836246,0.0010321792,0.0000131362485,0.000085854,0.024011957],"genre_scores_gemma":[0.986327,0.00029371417,0.011604765,0.00013493205,0.00031627322,0.000008930323,5.4880724e-7,0.000024523186,0.0012893158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783295,0.00024451292,0.000770761,0.00012950874,0.0006776292,0.0003446507],"domain_scores_gemma":[0.99338835,0.005260384,0.0005159865,0.00032707048,0.0002890356,0.00021914639],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0046947324,0.00016424785,0.00045134252,0.00023261317,0.00029121485,0.0001199274,0.00038654057,0.0001087381,0.00009934343],"category_scores_gemma":[0.010364947,0.00007487571,0.0001302042,0.000927437,0.0005863468,0.00008631311,0.0001476161,0.0004508314,0.00002678618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001318403,0.00010519369,0.00023303283,0.000074034266,0.00015597539,0.000011659759,0.0012949037,0.000008620023,0.000014635126,0.98683953,0.004175958,0.006954609],"study_design_scores_gemma":[0.001804555,0.00007431356,0.00023728429,0.00003295972,0.00012718429,0.00072180026,0.0016890895,0.0012300083,0.00006478584,0.99178064,0.0021311084,0.00010628075],"about_ca_topic_score_codex":0.000006582149,"about_ca_topic_score_gemma":0.0000065948716,"teacher_disagreement_score":0.3145627,"about_ca_system_score_codex":0.0000578764,"about_ca_system_score_gemma":0.00012969872,"threshold_uncertainty_score":0.9979712},"labels":[],"label_agreement":null},{"id":"W2104269748","doi":"10.1142/9789812702616_0007","title":"HYPERBOLIC GROUPS AND COMPLETELY SIMPLE SEMIGROUPS","year":2004,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Simple (philosophy); Computer science; Algebra over a field; Mathematics; Theoretical computer science; Pure mathematics; Epistemology","score_opus":0.046431108122466994,"score_gpt":0.29269047344338767,"score_spread":0.2462593653209207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104269748","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97596484,0.0001209305,0.010045005,0.00085380854,0.00005672948,0.00011215108,0.0000031792083,0.00014290455,0.01270042],"genre_scores_gemma":[0.98856854,0.000016949281,0.010206552,0.00054833887,0.000073893214,0.000005248353,0.000003084516,0.00001491583,0.00056245504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992613,0.0000161103,0.00017835408,0.0001853852,0.000107766136,0.00025103678],"domain_scores_gemma":[0.99942935,0.00022560159,0.000040772033,0.00018869282,0.000021784646,0.00009379743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012373796,0.00011468794,0.00021349938,0.00010355687,0.00008083661,0.000017729242,0.00010045423,0.00006944462,0.00042336754],"category_scores_gemma":[0.00017977491,0.00009229461,0.00003807064,0.00023132018,0.0000896455,0.000053906875,0.00008061884,0.00009422177,0.00009074369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033284934,0.00007256948,0.0015221136,0.00002440566,0.000018983603,0.000009756413,0.00026606696,0.0000014799023,0.00020917169,0.993673,0.0020964867,0.0021026318],"study_design_scores_gemma":[0.0008284263,0.000090624126,0.007215687,0.0000043506448,0.000017855624,0.00011868304,0.00039349406,0.000015503765,0.0003785294,0.9855037,0.0052750264,0.00015812016],"about_ca_topic_score_codex":0.00013166602,"about_ca_topic_score_gemma":0.00007332802,"teacher_disagreement_score":0.012603691,"about_ca_system_score_codex":0.000019137005,"about_ca_system_score_gemma":0.000014539776,"threshold_uncertainty_score":0.46355775},"labels":[],"label_agreement":null},{"id":"W2104285737","doi":"10.1112/s0010437x1700762x","title":"The Kodaira dimension of complex hyperbolic manifolds with cusps","year":2017,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Compactification (mathematics); Cusp (singularity); Kodaira dimension; Algebraic surface; Pure mathematics; Manifold (fluid mechanics); Algebraic number; Algebraic geometry; Geometry; Hyperbolic manifold; Dimension (graph theory); Conjecture; Hausdorff dimension; Hyperbolic 3-manifold; Complex dimension; Mathematical analysis; Relatively hyperbolic group; Hyperbolic function","score_opus":0.05597595471133488,"score_gpt":0.3131906172376021,"score_spread":0.25721466252626723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104285737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.909887,0.00015174103,0.009975595,0.0032485316,0.00016631928,0.00067972566,0.000012897696,0.00012870807,0.075749464],"genre_scores_gemma":[0.9797738,0.000014984445,0.019082973,0.000048495047,0.000052470983,0.000020705282,0.00000263775,0.000030393987,0.0009735139],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986993,0.000058182868,0.00040665024,0.00020018862,0.00032395584,0.00031168535],"domain_scores_gemma":[0.9970489,0.0009123181,0.00050640636,0.0013246512,0.00012816589,0.000079550395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036041456,0.00019480097,0.00044129064,0.000070509515,0.0009132796,0.00009696928,0.000739582,0.000070539056,0.00014681541],"category_scores_gemma":[0.00026422733,0.00011275699,0.00009756511,0.00009328499,0.0005570123,0.000084003856,0.00022741512,0.00013022784,0.0000820604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053357217,0.00030100564,0.00036653577,0.00023115297,0.00013836849,0.000018835308,0.000489937,0.0000013401225,0.002703742,0.98964787,0.004440241,0.0016076146],"study_design_scores_gemma":[0.0017339718,0.00056805526,0.013745571,0.00037782523,0.00023418326,0.00041295248,0.0006164756,0.0012833074,0.006668284,0.9699867,0.0038749436,0.000497769],"about_ca_topic_score_codex":0.000012288373,"about_ca_topic_score_gemma":0.000009564369,"teacher_disagreement_score":0.07477595,"about_ca_system_score_codex":0.000019022355,"about_ca_system_score_gemma":0.000028354929,"threshold_uncertainty_score":0.70243007},"labels":[],"label_agreement":null},{"id":"W2104469817","doi":"10.1016/s0196-8858(03)00021-6","title":"The Alexander polynomial of planar even valence graphs","year":2003,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Planar graph; Tutte polynomial; Spanning tree; Congruence relation; Book embedding; Knot polynomial; HOMFLY polynomial; Bracket polynomial; Knot (papermaking); Discrete mathematics; Jones polynomial; Polynomial; Graph; 1-planar graph; Knot theory; Matrix polynomial; Chordal graph; Knot invariant; Alternating polynomial; Square-free polynomial; Line graph; Voltage graph","score_opus":0.018834554320859984,"score_gpt":0.28860963014713376,"score_spread":0.26977507582627375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104469817","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2752546,0.012659326,0.13913043,0.00041030694,0.0016280952,0.0030908845,0.000047552,0.0003022853,0.5674765],"genre_scores_gemma":[0.8667828,0.0008377112,0.13154711,0.00004475272,0.000026933662,0.00007684197,0.0000014009391,0.00003451509,0.0006479464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985173,0.000034322205,0.00060876674,0.0002013054,0.00027724056,0.00036109422],"domain_scores_gemma":[0.9963716,0.002756569,0.00032936427,0.0004679006,0.000027189502,0.000047359],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068876566,0.00018486172,0.0003808964,0.00013556515,0.0001015874,0.000009465349,0.0003650478,0.000095240706,0.00006629193],"category_scores_gemma":[0.0008243485,0.00012884922,0.00007003784,0.00052452117,0.00028776398,0.0000576738,0.000034367098,0.00018702232,0.000016127196],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010000976,0.00014084164,0.00036352192,0.00018042247,0.000014599656,0.0000020259688,0.0004121274,0.000010157776,0.000093534545,0.9960704,0.0005999176,0.0021024805],"study_design_scores_gemma":[0.00050359307,0.000031564527,0.00005263382,0.000034222816,0.00002105615,0.000017294999,0.0013822,0.000021135724,0.0017434665,0.98644614,0.009589861,0.00015680822],"about_ca_topic_score_codex":0.000001499549,"about_ca_topic_score_gemma":0.000023155899,"teacher_disagreement_score":0.5915282,"about_ca_system_score_codex":0.000024851304,"about_ca_system_score_gemma":0.000038745355,"threshold_uncertainty_score":0.5254319},"labels":[],"label_agreement":null},{"id":"W2104715375","doi":"10.48550/arxiv.0903.0840","title":"Real loci of based loop groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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; University of Toronto","funders":"","keywords":"Loop (graph theory); Computer science; Mathematics; Biology; Combinatorics","score_opus":0.0785463681898912,"score_gpt":0.31785427080850354,"score_spread":0.23930790261861234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104715375","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98597497,0.00016117899,0.003512035,0.0005944992,0.0003786271,0.00029516232,0.000023348734,0.00013881526,0.008921364],"genre_scores_gemma":[0.99205685,0.0000846091,0.0058010095,0.00018862734,0.00025403296,0.000016388363,0.000055855508,0.000041297397,0.0015013366],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981117,0.00011867702,0.000632124,0.00047972312,0.0002847984,0.00037296812],"domain_scores_gemma":[0.99781156,0.00044437574,0.0005179383,0.0009828369,0.00013806818,0.00010521434],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004527419,0.0003257133,0.00077345653,0.00031896294,0.00004475968,0.000010098839,0.0005340947,0.000561848,0.0006080596],"category_scores_gemma":[0.00062293175,0.00030344227,0.0002863464,0.0003224671,0.00014749177,0.000026976179,0.0003283876,0.00064100686,0.00012291134],"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":[0.00020510626,0.0028590877,0.7580364,0.004014151,0.00081741717,0.00029132265,0.0013184081,0.00023036651,0.0014227099,0.17258857,0.045374457,0.012842015],"study_design_scores_gemma":[0.001995004,0.00046182677,0.41581938,0.00039328684,0.000528001,0.000016954073,0.0002628355,0.00038235073,0.006047992,0.57129943,0.0015743087,0.0012186443],"about_ca_topic_score_codex":0.00016618059,"about_ca_topic_score_gemma":0.000019367311,"teacher_disagreement_score":0.39871088,"about_ca_system_score_codex":0.000064268315,"about_ca_system_score_gemma":0.00017715218,"threshold_uncertainty_score":0.99994177},"labels":[],"label_agreement":null},{"id":"W2104926403","doi":"10.2140/pjm.2006.225.53","title":"Genera and fibredness of Montesinos knots","year":2006,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Fibered knot; Monic polynomial; Mathematics; Genus; Combinatorics; Pure mathematics; Mathematical analysis; Polynomial; Biology; Botany","score_opus":0.022998949222568125,"score_gpt":0.2593454151511608,"score_spread":0.23634646592859265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104926403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9602008,0.0011855173,0.032367714,0.0002043451,0.00020577156,0.000108164604,0.0000074146724,0.000013587147,0.0057066972],"genre_scores_gemma":[0.92148924,0.000054325603,0.07739185,0.0000051188326,0.00014105564,8.105333e-7,4.3788228e-7,0.00001928398,0.0008978943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984401,0.000045317527,0.00092415855,0.000086601845,0.00031532857,0.00018851047],"domain_scores_gemma":[0.9978287,0.00073680485,0.00093580154,0.00020015668,0.00023070772,0.00006783401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066584244,0.00014437072,0.00055558654,0.00026978634,0.000039027913,0.000017078559,0.00017120395,0.00009274884,0.0000742945],"category_scores_gemma":[0.00049421255,0.00010867766,0.00012239013,0.00023941412,0.00013188172,0.000079349105,0.000040394516,0.00015223776,0.000003873881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085146006,0.0041058543,0.009160996,0.0038008303,0.0006228123,0.00029934992,0.013338707,0.000110230896,0.0136910165,0.8942463,0.048812386,0.01172639],"study_design_scores_gemma":[0.0011035636,0.00027963074,0.0009702385,0.0002328269,0.00020031504,0.0015095104,0.005305794,0.00042940702,0.005687087,0.98346174,0.00059176504,0.00022814593],"about_ca_topic_score_codex":0.000007640145,"about_ca_topic_score_gemma":0.0000016676205,"teacher_disagreement_score":0.089215435,"about_ca_system_score_codex":0.000017534941,"about_ca_system_score_gemma":0.000043608274,"threshold_uncertainty_score":0.44317466},"labels":[],"label_agreement":null},{"id":"W2105093389","doi":"10.1142/s0218216503002469","title":"DOUBLING HOMOTOPY K3 SURFACES","year":2003,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; Homotopy; Pure mathematics; Homotopy group; Combinatorics; Simply connected space","score_opus":0.04892671733536873,"score_gpt":0.3212630048425061,"score_spread":0.27233628750713734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105093389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97791547,0.0028314248,0.013246931,0.0005883535,0.00026544693,0.0000893658,0.0000033132776,0.000014906967,0.0050448095],"genre_scores_gemma":[0.99427134,0.00029671605,0.0029589788,0.000055279223,0.00006211037,0.0000014302136,3.4683492e-7,0.000008754648,0.0023450628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903196,0.00025968676,0.00037880676,0.00008275256,0.00011417839,0.00013261948],"domain_scores_gemma":[0.99801046,0.0012874654,0.00030260705,0.00012611091,0.00018412924,0.000089220244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017390789,0.00008270301,0.00019968094,0.00020742821,0.00015963147,0.000030110406,0.00012710315,0.00006367363,0.00032780977],"category_scores_gemma":[0.0027376323,0.00006278855,0.00006856869,0.00029886627,0.00006501318,0.00014692356,0.0000110486935,0.00019121192,0.000014810985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014177999,0.0001006529,0.00009696324,0.000015368763,0.000042203945,0.0000026109112,0.0004503845,0.000007654265,0.0009980359,0.9970637,0.00029890958,0.00090932084],"study_design_scores_gemma":[0.0004961261,0.00009169102,0.0008350032,0.000025886497,0.00008705746,0.00026658428,0.0014967319,0.0000251087,0.0029964957,0.9780566,0.015514092,0.00010862959],"about_ca_topic_score_codex":2.2589106e-7,"about_ca_topic_score_gemma":3.8550752e-7,"teacher_disagreement_score":0.019007122,"about_ca_system_score_codex":0.000011687528,"about_ca_system_score_gemma":0.000059734128,"threshold_uncertainty_score":0.3589287},"labels":[],"label_agreement":null},{"id":"W2105369534","doi":"10.1353/ajm.2012.0020","title":"A boundary criterion for cubulation","year":2012,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":120,"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; Boundary (topology); Separable space; Fibered knot; Pure mathematics; Hyperbolic manifold; 3-manifold; Manifold (fluid mechanics); Action (physics); Cube (algebra); Group (periodic table); Mathematical analysis; Combinatorics; Hyperbolic function","score_opus":0.04604609349324386,"score_gpt":0.3468937397578172,"score_spread":0.30084764626457333,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105369534","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7227702,0.00018383111,0.27580678,0.00041779192,0.00033303676,0.00012426285,0.0000033260499,0.00001590247,0.00034486974],"genre_scores_gemma":[0.7059854,0.000013824471,0.29339465,0.0000888351,0.0003557739,0.0000035345035,6.354675e-7,0.000020777692,0.00013651824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987848,0.00004544035,0.0006032601,0.000055853558,0.00023156514,0.00027908653],"domain_scores_gemma":[0.99746823,0.0010842183,0.0009693638,0.00015686272,0.00019264148,0.0001287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010439204,0.000117333715,0.000437114,0.00022226184,0.00006657152,0.000019853953,0.00015623614,0.000036602614,0.000073416224],"category_scores_gemma":[0.001280685,0.00009146025,0.00016909768,0.00026564993,0.0001431287,0.00018811943,0.000023365737,0.00011848184,0.00000971663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024117158,0.0045434027,0.010219974,0.0013061055,0.000926935,0.000019080866,0.03544106,0.000012913009,0.0031125096,0.6514055,0.039657,0.2531143],"study_design_scores_gemma":[0.0018399351,0.0024921263,0.0030576033,0.00024754924,0.0006039655,0.0023713738,0.015986513,0.0005302218,0.00129352,0.9396812,0.031305194,0.0005908436],"about_ca_topic_score_codex":0.0000014928249,"about_ca_topic_score_gemma":2.6646887e-7,"teacher_disagreement_score":0.28827563,"about_ca_system_score_codex":0.000045276334,"about_ca_system_score_gemma":0.000046696812,"threshold_uncertainty_score":0.37296408},"labels":[],"label_agreement":null},{"id":"W2106728562","doi":"10.1093/imrn/rns199","title":"Local Polynomial Convexity of the Unfolded Whitney Umbrella in ℂ2","year":2012,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Convexity; Polynomial; Mathematics; Library science; Humanities; Combinatorics; Computer science; Art; Economics","score_opus":0.21408071766862447,"score_gpt":0.44857658801976397,"score_spread":0.2344958703511395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106728562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96511626,0.00010827238,0.0017935626,0.0025569869,0.0008304884,0.00040286576,0.00002068244,0.000022915587,0.029147958],"genre_scores_gemma":[0.9943005,0.000011924024,0.0035588054,0.000036955687,0.00016695181,0.000021679161,0.0000018185056,0.000019588542,0.0018817834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972194,0.00025853532,0.00060211756,0.00017066517,0.0012305564,0.00051874836],"domain_scores_gemma":[0.9956001,0.0033380666,0.00023878715,0.00040456155,0.0003120754,0.00010639818],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029468501,0.00013708384,0.0002914231,0.00046512907,0.00007812428,0.000034187473,0.001033554,0.00013349314,0.0006902104],"category_scores_gemma":[0.004643026,0.00008549058,0.000110050656,0.0006325575,0.0006046574,0.00017855143,0.00049671996,0.00048828087,0.00010055097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008974395,0.0028866383,0.037609912,0.0007184482,0.00024332575,0.000009058728,0.0075372173,0.000068355745,0.00096357125,0.93600947,0.010625911,0.0032383723],"study_design_scores_gemma":[0.0025919208,0.00016389466,0.03766815,0.00064256066,0.000058931928,0.00006481074,0.00955171,0.012577651,0.02080997,0.9076177,0.0077034803,0.0005492599],"about_ca_topic_score_codex":0.0001750711,"about_ca_topic_score_gemma":0.00011394653,"teacher_disagreement_score":0.029184226,"about_ca_system_score_codex":0.00014450598,"about_ca_system_score_gemma":0.000114543596,"threshold_uncertainty_score":0.755732},"labels":[],"label_agreement":null},{"id":"W2106960193","doi":"","title":"Gauge theory and the $A$-polynomial","year":2005,"lang":"en","type":"article","venue":"Institutional Repositories DataBase (IRDB)","topic":"Geometric and Algebraic Topology","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":"Instanton; Mathematics; Homology (biology); Floer homology; Alexander polynomial; Polynomial; Combinatorics; Gauge theory; Pure mathematics; Khovanov homology; Discrete mathematics; Knot theory; Physics; Algebra over a field; Mathematical analysis; Compressibility; Mathematical physics; Biology","score_opus":0.01898182864377131,"score_gpt":0.2842676280507093,"score_spread":0.265285799406938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106960193","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9073243,0.003581763,0.018751873,0.005737111,0.0035724621,0.00068334123,0.00041543948,0.0002748394,0.059658837],"genre_scores_gemma":[0.9897192,0.00007012068,0.005018607,0.00045397584,0.0021697774,0.000041202384,0.00005642358,0.0000131037405,0.0024575873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9985889,0.00018785837,0.00035762606,0.00028195928,0.00032860707,0.00025503407],"domain_scores_gemma":[0.99742955,0.0018147199,0.00012434695,0.00045267123,0.00008277365,0.000095914846],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001045482,0.00017670417,0.00023996495,0.0000890864,0.000602431,0.00007535866,0.00024276374,0.00008313786,0.00010445838],"category_scores_gemma":[0.0027607365,0.000114647286,0.000075161384,0.00022289465,0.0013498819,0.0003460173,0.00021996791,0.00023726874,0.000053357984],"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":[0.0002824077,0.00006109301,0.0003198668,0.000020180605,0.00005650713,0.000023535518,0.00020981237,0.0000027490946,0.000099259865,0.9865878,0.010944905,0.0013918838],"study_design_scores_gemma":[0.0046366174,0.00006630993,0.0015555186,0.00008607662,0.00022605491,0.001582175,0.00048446443,0.00012614668,0.0032659764,0.23978682,0.7476572,0.0005266357],"about_ca_topic_score_codex":0.00012261834,"about_ca_topic_score_gemma":0.000045207096,"teacher_disagreement_score":0.74680096,"about_ca_system_score_codex":0.00007009148,"about_ca_system_score_gemma":0.00017134336,"threshold_uncertainty_score":0.4973696},"labels":[],"label_agreement":null},{"id":"W2107359861","doi":"10.1007/s00031-011-9130-0","title":"The orientation-preserving diffeomorphism group of ${\\mathbb{S}^{2}}$ deforms to SO(3) smoothly","year":2011,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Geometric and Algebraic Topology","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":"Diffeomorphism; Group (periodic table); Deformation (meteorology); Construct (python library); Surface (topology); Algebra over a field","score_opus":0.04731760609878598,"score_gpt":0.2755464359503566,"score_spread":0.2282288298515706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107359861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78530854,0.000044824075,0.20337227,0.00052932824,0.0003266949,0.0005798496,0.000014913812,0.000100501944,0.009723059],"genre_scores_gemma":[0.9935615,0.00002568105,0.0059485394,0.00013299455,0.000039022634,0.00007147246,0.000013356833,0.00002146433,0.0001859844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984216,0.00005972681,0.0006842651,0.00015479836,0.0003438769,0.00033574086],"domain_scores_gemma":[0.9988681,0.00034340293,0.00019411671,0.00037273415,0.000113626906,0.000108039676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062847184,0.00016791935,0.00024418937,0.00021374517,0.00032161776,0.000030881452,0.0004168512,0.00009317402,0.00028723944],"category_scores_gemma":[0.00018348139,0.00011149319,0.00011545511,0.0005994485,0.00012259206,0.0003616842,0.000039862694,0.00013591653,0.000079767386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009079766,0.00015063555,0.0006588973,0.00013749604,0.000058069214,0.0000012428883,0.03178651,0.0000033670922,0.00040508035,0.9524866,0.00072313624,0.01349817],"study_design_scores_gemma":[0.0019736888,0.00057399576,0.048153803,0.000073681564,0.00012085982,0.00003243899,0.009933777,0.00055864,0.0065649035,0.92496884,0.006533715,0.0005116339],"about_ca_topic_score_codex":0.00013387973,"about_ca_topic_score_gemma":0.00015758048,"teacher_disagreement_score":0.20825292,"about_ca_system_score_codex":0.0000361701,"about_ca_system_score_gemma":0.00002241263,"threshold_uncertainty_score":0.454656},"labels":[],"label_agreement":null},{"id":"W2108077824","doi":"10.4171/ggd/188","title":"Cubulating rhombus groups","year":2013,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; John Abbott College","funders":"","keywords":"Mathematics; Rhombus; Pure mathematics; Combinatorics; Geometry","score_opus":0.016233817209172427,"score_gpt":0.25044379622790125,"score_spread":0.2342099790187288,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108077824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95226604,0.00022769946,0.040825263,0.00044013397,0.00030814784,0.0002528556,0.000010011742,0.00016608638,0.0055037513],"genre_scores_gemma":[0.9877821,0.00003703014,0.010066821,0.00022736851,0.00016023808,0.000023985589,0.000023220764,0.00003414394,0.0016450952],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984541,0.000052050626,0.0003976738,0.00036422108,0.00021592993,0.00051605166],"domain_scores_gemma":[0.99854845,0.00068088464,0.00015992021,0.00034698006,0.000077286844,0.00018650005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032182474,0.00024890839,0.00038194816,0.0003850724,0.00022600302,0.000087420296,0.0002018301,0.00021769237,0.000663842],"category_scores_gemma":[0.00058785925,0.00021951586,0.00008380262,0.0008738312,0.00015270252,0.000252548,0.00020523633,0.00030170393,0.00015596345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000087938015,0.00017018671,0.061887197,0.0001887463,0.00008930808,0.000018081155,0.00038369524,0.000014677819,0.000045988138,0.8740142,0.001463062,0.061716083],"study_design_scores_gemma":[0.00076632743,0.00016649495,0.055447385,0.000028155431,0.00005977595,0.00017357351,0.0018808638,0.030732462,0.000014908697,0.90994024,0.0002654988,0.00052428816],"about_ca_topic_score_codex":0.000090636204,"about_ca_topic_score_gemma":0.00002527817,"teacher_disagreement_score":0.061191794,"about_ca_system_score_codex":0.000054190696,"about_ca_system_score_gemma":0.000013806227,"threshold_uncertainty_score":0.8951597},"labels":[],"label_agreement":null},{"id":"W2108409334","doi":"10.1515/crelle-2015-0040","title":"Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation","year":2015,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric and Algebraic Topology","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":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Foliation (geology); Ergodic theory; Geodesic; Mathematics; Boundary (topology); Pure mathematics; Limit (mathematics); Measure (data warehouse); Homotopy; Set (abstract data type); Surface (topology); Mathematical analysis; Limit set; Geometry; Geology; Computer science","score_opus":0.05936372930573666,"score_gpt":0.34759263719823996,"score_spread":0.2882289078925033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2108409334","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.898361,0.014233963,0.07141183,0.003995488,0.0016483291,0.001120293,0.0000938604,0.00013950276,0.008995697],"genre_scores_gemma":[0.88217705,0.010124166,0.1017124,0.0002291571,0.0019987472,0.000040332146,0.000049531795,0.00043934156,0.003229248],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9927464,0.0005024908,0.0028943387,0.0006409393,0.0020909419,0.0011249031],"domain_scores_gemma":[0.9915214,0.0012659524,0.0032207286,0.0009402947,0.0020228724,0.0010287593],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0037153256,0.001116905,0.0025532136,0.0014355688,0.00046376704,0.00044839317,0.0012708673,0.0010322332,0.0004720235],"category_scores_gemma":[0.0022394226,0.00078452897,0.00093435525,0.0006099299,0.00041786183,0.00036384875,0.000734299,0.004119664,0.00004459048],"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":[0.01218067,0.019509975,0.007941713,0.025871323,0.043690395,0.019221744,0.050247166,0.009894508,0.005171139,0.14067078,0.60414374,0.061456878],"study_design_scores_gemma":[0.005859067,0.0026458728,0.000488638,0.005568996,0.0036930211,0.009733359,0.0017350502,0.0024229556,0.0037372762,0.95582366,0.0064695464,0.0018225443],"about_ca_topic_score_codex":0.000025459938,"about_ca_topic_score_gemma":0.00003520035,"teacher_disagreement_score":0.8151529,"about_ca_system_score_codex":0.0005647748,"about_ca_system_score_gemma":0.0015878245,"threshold_uncertainty_score":0.9994606},"labels":[],"label_agreement":null},{"id":"W2110312356","doi":"10.4153/cmb-2012-011-0","title":"Left-orderability and Exceptional Dehn Surgery on Twist Knots","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Dehn surgery; Twist; Conjecture; Generalization; Group (periodic table)","score_opus":0.05422881767934775,"score_gpt":0.2792821847361603,"score_spread":0.22505336705681253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110312356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9572108,0.00015568367,0.0009543119,0.01038143,0.00023182922,0.00029547568,0.00003179615,0.00007714158,0.030661548],"genre_scores_gemma":[0.9929583,0.0000056649424,0.0024597207,0.0012312918,0.00022735626,0.000019045943,0.0000076370225,0.000030335694,0.0030606426],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825567,0.00011996081,0.00039140077,0.00025856218,0.00023101439,0.0007433994],"domain_scores_gemma":[0.9954382,0.003142335,0.000071837574,0.0003360763,0.00004965027,0.0009618976],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001034093,0.00021762465,0.00041441288,0.00026368166,0.00016573064,0.00003353798,0.00012011528,0.00017977292,0.041514095],"category_scores_gemma":[0.004349172,0.00019141844,0.000103698476,0.00011768657,0.0002567913,0.000034026685,0.00003759575,0.00023944276,0.0060038953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012642309,0.00032742275,0.009600487,0.00030228496,0.000045975386,0.000019111627,0.00055425946,2.2224924e-7,0.0000072471826,0.82409906,0.16102898,0.004002291],"study_design_scores_gemma":[0.0003526728,0.00006209651,0.03130649,0.00010335301,0.000057387042,0.00026206597,0.00029567123,0.000018087829,0.000051306793,0.76289207,0.20397831,0.0006204711],"about_ca_topic_score_codex":0.000283095,"about_ca_topic_score_gemma":0.0005125075,"teacher_disagreement_score":0.061207,"about_ca_system_score_codex":0.00013879103,"about_ca_system_score_gemma":0.00012892894,"threshold_uncertainty_score":0.99477005},"labels":[],"label_agreement":null},{"id":"W2110853357","doi":"10.1017/s0143385709000479","title":"Spectral sequences in Conley’s theory","year":2009,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Connection (principal bundle); Path (computing); Flow (mathematics); Filtration (mathematics); Gravitational singularity; Spectral sequence; Sequence (biology); Joins; Pure mathematics; Matrix (chemical analysis); Action (physics); Zero (linguistics); Type (biology); Combinatorics; Mathematical analysis; Geometry","score_opus":0.014462902606650658,"score_gpt":0.2750590761368733,"score_spread":0.26059617353022263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110853357","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9772964,0.0016405755,0.009928709,0.0002714651,0.00047328367,0.00025903623,0.000007038248,0.00010714932,0.0100163305],"genre_scores_gemma":[0.9968885,0.000028921413,0.00015217262,0.00013074026,0.00012511169,0.000008537481,0.0000028129414,0.000009239123,0.0026539406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980467,0.0007686034,0.0003842131,0.00028787807,0.00014951586,0.00036307648],"domain_scores_gemma":[0.9978883,0.0016855128,0.00008925235,0.00020365698,0.000014964274,0.00011830936],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002120101,0.0001755438,0.00040067328,0.00016838204,0.00008342375,0.00003685173,0.00017133332,0.00017500613,0.00013677485],"category_scores_gemma":[0.0006543857,0.00013159838,0.00005940938,0.0002538608,0.00023806858,0.00007561574,0.000027445452,0.00024884453,0.000025445746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010498467,0.00007763209,0.0005506851,0.00003294151,0.000013972475,0.000048275375,0.0003361318,0.000011792467,0.000093604445,0.9969166,0.000071709015,0.001741671],"study_design_scores_gemma":[0.0004611814,0.00016279236,0.0029868584,0.000060572613,0.000016343483,0.00013891722,0.0010537744,0.00048593653,0.000013174808,0.9942744,0.00017005783,0.00017598447],"about_ca_topic_score_codex":0.000021340129,"about_ca_topic_score_gemma":0.000010286952,"teacher_disagreement_score":0.019592112,"about_ca_system_score_codex":0.00004598887,"about_ca_system_score_gemma":0.000027491333,"threshold_uncertainty_score":0.5366426},"labels":[],"label_agreement":null},{"id":"W2111435919","doi":"10.1090/s0002-9947-02-03022-2","title":"On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks","year":2002,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Deutsche Forschungsgemeinschaft","keywords":"Braid; Mathematics; Counterexample; Crossing number (knot theory); Knot (papermaking); Conjecture; Braid theory; Alexander polynomial; Combinatorics; Skein relation; HOMFLY polynomial; Knot theory; Braid group; Pure mathematics; Discrete mathematics; Polynomial; Mathematical analysis","score_opus":0.02391112776868989,"score_gpt":0.3021344604218298,"score_spread":0.2782233326531399,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111435919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96470577,0.00007255722,0.032971412,0.0014466811,0.000019173947,0.00019906693,0.000040365536,0.000012252328,0.0005327163],"genre_scores_gemma":[0.99137646,0.0000626581,0.008146606,0.0001742864,0.000007783744,0.000006881419,1.3798861e-7,0.000015444188,0.00020974879],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998973,0.000097546086,0.00038412205,0.00016475364,0.00021318447,0.00016736292],"domain_scores_gemma":[0.9968258,0.0024777348,0.00030131248,0.00028182744,0.000061051825,0.000052231764],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00027535387,0.00015292635,0.00049783016,0.000029892313,0.00018332452,0.000020111109,0.0001412664,0.00006571803,0.00032183086],"category_scores_gemma":[0.00022580413,0.00009086445,0.00017457994,0.00038180192,0.0032728084,0.00005690519,0.00003352605,0.0001914925,9.3226464e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045344053,0.007103065,0.02670658,0.007325289,0.0051367646,0.000004432767,0.16724189,0.00004423314,0.03628977,0.667374,0.0039415434,0.078379],"study_design_scores_gemma":[0.0015025121,0.0005882334,0.0405361,0.00055056915,0.0007031938,0.00019103267,0.009848565,0.00732802,0.009263186,0.9289676,0.000041336727,0.00047966983],"about_ca_topic_score_codex":0.00005741827,"about_ca_topic_score_gemma":0.0000015311883,"teacher_disagreement_score":0.26159358,"about_ca_system_score_codex":0.000009673379,"about_ca_system_score_gemma":0.000010799277,"threshold_uncertainty_score":0.9994397},"labels":[],"label_agreement":null},{"id":"W2112116180","doi":"10.4171/cmh/156","title":"$\\underline{E}G$ for systolic groups","year":2009,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Ministerstwo Edukacji i Nauki; Fundacja na rzecz Nauki Polskiej","keywords":"Mathematics; Combinatorics","score_opus":0.09513980626722239,"score_gpt":0.3694420015187141,"score_spread":0.2743021952514917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112116180","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3223947,0.0006930884,0.6046608,0.03613843,0.0010831942,0.004685213,0.00006717962,0.0011192391,0.029158132],"genre_scores_gemma":[0.906843,0.000015958398,0.08600688,0.0049325395,0.0002675656,0.00015341365,0.00003016118,0.000059273996,0.0016911856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99774694,0.000069877504,0.00077495485,0.00039404503,0.000310681,0.00070349715],"domain_scores_gemma":[0.9970646,0.0016519418,0.00028853788,0.00070369244,0.00010302888,0.00018822508],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00061291986,0.0003681934,0.0007143587,0.00027273776,0.0002605279,0.000063455176,0.00051895034,0.00016536459,0.00041727017],"category_scores_gemma":[0.000701533,0.0003206166,0.00026888415,0.00037028463,0.000095904084,0.00010489134,0.000078411045,0.00020889757,0.000121978985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002953083,0.0007616555,0.000037822727,0.00024635537,0.000114817805,0.000006280987,0.0010032268,0.0000013355178,0.000252488,0.94992924,0.043692026,0.0039252443],"study_design_scores_gemma":[0.0015572744,0.0005434563,0.0001219589,0.00009838708,0.00026478572,0.00008083166,0.00088199426,0.0007198561,0.001002412,0.9859297,0.0083909985,0.0004083139],"about_ca_topic_score_codex":0.000010787364,"about_ca_topic_score_gemma":0.000012828848,"teacher_disagreement_score":0.58444834,"about_ca_system_score_codex":0.00012785227,"about_ca_system_score_gemma":0.000038201448,"threshold_uncertainty_score":0.9999246},"labels":[],"label_agreement":null},{"id":"W2113923307","doi":"10.1093/imrn/rnv090","title":"Big Polygon Spaces","year":2015,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"","keywords":"Equivariant map; Equivariant cohomology; Polygon (computer graphics); Cohomology; Torus; Group cohomology","score_opus":0.458187372475935,"score_gpt":0.49270276355858234,"score_spread":0.03451539108264734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113923307","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73459995,0.0002860388,0.006204623,0.010033125,0.0019150221,0.00045273828,0.00002294508,0.00021596538,0.2462696],"genre_scores_gemma":[0.9525608,0.000019279043,0.03288574,0.000060691236,0.0006576359,0.000037687256,0.000006457824,0.00003574021,0.013735969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967529,0.00015509171,0.00041657532,0.00028554723,0.0019018861,0.00048796582],"domain_scores_gemma":[0.9956127,0.0026881024,0.00015783987,0.00039213215,0.00088843785,0.00026081016],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003130527,0.00015970661,0.00025614604,0.00081785215,0.000106709595,0.00023010444,0.0009449611,0.00011488579,0.00044577662],"category_scores_gemma":[0.01111442,0.0001293653,0.00007666742,0.00058146875,0.0002720923,0.00018702589,0.0003875766,0.0003898247,0.00087283814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031575022,0.0006487588,0.000719207,0.00011369495,0.00015439586,0.000053101216,0.0029477028,0.000017687096,0.00017920668,0.96140623,0.029872257,0.003856179],"study_design_scores_gemma":[0.00057841156,0.0001385199,0.00011322124,0.00006966408,0.000014199229,0.00003476804,0.0049963742,0.0025032747,0.0010105371,0.96137065,0.028982548,0.000187844],"about_ca_topic_score_codex":0.0000979711,"about_ca_topic_score_gemma":0.000052215073,"teacher_disagreement_score":0.23253362,"about_ca_system_score_codex":0.00014648782,"about_ca_system_score_gemma":0.00016939659,"threshold_uncertainty_score":0.9999051},"labels":[],"label_agreement":null},{"id":"W2114325061","doi":"10.4171/ggd/543","title":"Cannon–Thurston maps, subgroup distortion, and hyperbolic hydra","year":2020,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"National Science Foundation","keywords":"Lernaean Hydra; Distortion (music); Mathematics; Hyperbolic space; Space (punctuation); Pure mathematics; Relatively hyperbolic group; Hyperbolic manifold; Hyperbolic function; Mathematical analysis; Computer science; Geography; Telecommunications","score_opus":0.02550827957447084,"score_gpt":0.2635964608015526,"score_spread":0.23808818122708175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114325061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9650105,0.0033071649,0.025482189,0.0021568635,0.0011304859,0.00052415725,0.00047376717,0.0002675017,0.0016473761],"genre_scores_gemma":[0.99370354,0.0009932868,0.0028779064,0.0003327162,0.00044560022,0.000043712545,0.00055875786,0.0000860019,0.0009584504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99726033,0.00011080251,0.0006742953,0.0010245249,0.00035664608,0.0005734254],"domain_scores_gemma":[0.9980266,0.00042275622,0.0004164182,0.0006427936,0.000087665874,0.00040373733],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004248036,0.000612704,0.0010348123,0.0005994065,0.00024206232,0.00013150802,0.000371538,0.00079345005,0.00007021312],"category_scores_gemma":[0.00062481925,0.00060860347,0.00016331593,0.00073606,0.00037392467,0.000105254665,0.0012970348,0.0011891945,0.000017598908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016356449,0.0005095389,0.06622997,0.004864184,0.0007466695,0.0002560733,0.0024647817,0.000032984823,0.00003975772,0.87397337,0.0065270215,0.044192098],"study_design_scores_gemma":[0.0010720331,0.0002717093,0.02859966,0.00015327254,0.0005360745,0.00026291504,0.00090363825,0.006512086,0.000015078688,0.9565003,0.0037744928,0.0013987203],"about_ca_topic_score_codex":0.00028428604,"about_ca_topic_score_gemma":0.00022323264,"teacher_disagreement_score":0.08252697,"about_ca_system_score_codex":0.00017733446,"about_ca_system_score_gemma":0.00008398586,"threshold_uncertainty_score":0.99963653},"labels":[],"label_agreement":null},{"id":"W2114619383","doi":"10.1090/s0894-0347-04-00467-9","title":"Dimension and randomness in groups acting on rooted trees","year":2004,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Hungarian Scientific Research Fund; National Science Foundation","keywords":"Dimension (graph theory); Annotation; Type (biology); Algorithm; Mathematics; Tree (set theory); Semantics (computer science); Computer science; Artificial intelligence; Combinatorics; Programming language; Biology","score_opus":0.021195101954487913,"score_gpt":0.294778382427428,"score_spread":0.27358328047294006,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114619383","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9908114,0.000034652872,0.00557862,0.0031682965,0.000064636435,0.000112841626,5.501593e-7,0.000010220779,0.0002187613],"genre_scores_gemma":[0.9871159,0.000029897767,0.01234669,0.0003865517,0.00006900711,0.0000016590055,4.329683e-8,0.000014472705,0.000035775985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872893,0.00010601159,0.00050541136,0.00010741441,0.0003320767,0.0002201681],"domain_scores_gemma":[0.9975928,0.0014317435,0.00067786576,0.00017422622,0.00004487964,0.00007845545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089356914,0.0001356191,0.0005700686,0.000060257935,0.000089926296,0.000018686165,0.00021051275,0.000049628772,0.000016396509],"category_scores_gemma":[0.0015002128,0.00007425282,0.00028960104,0.0005064297,0.00030900276,0.0000614085,0.00008728804,0.00042329752,0.0000030610347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021489174,0.010208665,0.02375767,0.0013923685,0.0021347208,0.00028198326,0.07130469,0.0019854254,0.018724332,0.7726037,0.0068040946,0.08865346],"study_design_scores_gemma":[0.004048832,0.00040739684,0.013825525,0.00040160216,0.00010388717,0.00026575653,0.0057539595,0.00022735064,0.00087281386,0.97386336,0.000042285734,0.00018725367],"about_ca_topic_score_codex":0.000010200544,"about_ca_topic_score_gemma":0.000003466406,"teacher_disagreement_score":0.20125966,"about_ca_system_score_codex":0.00009940195,"about_ca_system_score_gemma":0.000035299192,"threshold_uncertainty_score":0.30279422},"labels":[],"label_agreement":null},{"id":"W2115229476","doi":"10.1142/s021821651350017x","title":"SATANIC AND THELEMIC CIRCLES ON KNOTS","year":2013,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 Victoria","funders":"","keywords":"Mathematics; Knot (papermaking); Finite type invariant; Tricolorability; Knot theory; Skein relation; Knot invariant; Combinatorics; Pure mathematics; Mathematical analysis","score_opus":0.030006887406451882,"score_gpt":0.2929300227002379,"score_spread":0.26292313529378597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115229476","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9939658,0.0014841926,0.0011775924,0.0016980692,0.00009323811,0.00011847149,0.000004009346,0.000011343416,0.001447268],"genre_scores_gemma":[0.997857,0.00047627857,0.0003982019,0.00016598988,0.000090293644,0.000003631809,4.6792866e-7,0.0000088542365,0.0009992892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924314,0.0001513513,0.0003054145,0.00008959398,0.0000939908,0.000116518306],"domain_scores_gemma":[0.99793583,0.0014846582,0.00023873511,0.0001283627,0.000119308475,0.000093125476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064218766,0.000082852064,0.00018040968,0.00018224923,0.00012084291,0.00003092911,0.00011597621,0.000060716113,0.00032504165],"category_scores_gemma":[0.0011843392,0.000060046008,0.000041772924,0.00014312746,0.00008182159,0.00013932493,0.000021547976,0.00018752326,0.000043394157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015947973,0.00009161885,0.00007251119,0.000019109231,0.0000417278,0.0000011929172,0.00047763044,5.528811e-7,0.0030021302,0.97850084,0.0011113272,0.016665393],"study_design_scores_gemma":[0.0003638972,0.0001746368,0.013985563,0.00004233761,0.00005917705,0.00017897632,0.0010084551,0.000030845727,0.0006525416,0.9817719,0.0016391344,0.00009255869],"about_ca_topic_score_codex":7.2165875e-7,"about_ca_topic_score_gemma":3.856677e-7,"teacher_disagreement_score":0.016572835,"about_ca_system_score_codex":0.000010791008,"about_ca_system_score_gemma":0.000025564614,"threshold_uncertainty_score":0.3558978},"labels":[],"label_agreement":null},{"id":"W2117601883","doi":"10.1007/s10998-014-0063-y","title":"A specious unlinking strategy","year":2014,"lang":"en","type":"article","venue":"Periodica Mathematica Hungarica","topic":"Geometric and Algebraic Topology","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":"Unknot; Mathematics; Sequence (biology); Knot (papermaking); Pulp and paper industry","score_opus":0.043770376836476575,"score_gpt":0.3023319658474792,"score_spread":0.2585615890110026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2117601883","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4174921,0.00023398559,0.15576121,0.0032129057,0.00047477224,0.00088659115,0.0000118944035,0.0012212921,0.42070523],"genre_scores_gemma":[0.93944633,0.000012622517,0.056798074,0.0002633178,0.00033658068,0.000046439072,0.0000044005615,0.00006616324,0.0030260908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739826,0.00016857954,0.00071742234,0.00049720943,0.00051622285,0.00070228893],"domain_scores_gemma":[0.9970905,0.0014329606,0.0002933245,0.0008525539,0.00008949999,0.00024111441],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008770528,0.00035611834,0.0007206474,0.00030025077,0.0003642107,0.00014630155,0.0005819038,0.00021254021,0.002916659],"category_scores_gemma":[0.0023792617,0.00029785637,0.0002103146,0.00058348366,0.00029784194,0.0000970405,0.00017753504,0.00039412137,0.0009131965],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012421826,0.00041757926,0.00026050356,0.00026655046,0.00009280055,0.000018790513,0.0016605307,0.0000029182413,0.000299799,0.97674334,0.0076944386,0.012530314],"study_design_scores_gemma":[0.0006976766,0.00024854395,0.00060548185,0.000066017674,0.00011703749,0.00015993106,0.00040229358,0.0038167427,0.00017265372,0.96993494,0.023258751,0.0005199251],"about_ca_topic_score_codex":0.000009481356,"about_ca_topic_score_gemma":0.000005302815,"teacher_disagreement_score":0.5219542,"about_ca_system_score_codex":0.000053767606,"about_ca_system_score_gemma":0.00007023897,"threshold_uncertainty_score":0.99994737},"labels":[],"label_agreement":null},{"id":"W2118479731","doi":"10.2140/pjm.2010.245.373","title":"A remark on Khovanov homology and two-fold branched covers","year":2010,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Khovanov homology; Mathematics; Pure mathematics; Homology (biology); Invariant (physics); Fold (higher-order function); Combinatorics; Algebra over a field; Computer science; Mathematical physics; Genetics; Biology; Gene","score_opus":0.021804974150791304,"score_gpt":0.2938809758410044,"score_spread":0.2720760016902131,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2118479731","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97336626,0.000115142466,0.007935734,0.0009501499,0.00097607233,0.0001642448,0.0000060077487,0.00002941275,0.016457],"genre_scores_gemma":[0.9443573,0.000053749896,0.054431316,0.00008212266,0.00023466798,0.0000019809295,4.4424468e-7,0.000033183784,0.0008052697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982839,0.00007314917,0.0007882767,0.00016236547,0.00036779587,0.00032449],"domain_scores_gemma":[0.9963862,0.0020822221,0.0007945932,0.0003754505,0.00017916106,0.00018241796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014644173,0.0002234404,0.0006599755,0.00040603164,0.00008655382,0.00003698951,0.00027555454,0.00017969277,0.0003390916],"category_scores_gemma":[0.002804453,0.00016929807,0.000154239,0.00028120878,0.00023079042,0.000086781234,0.00005433698,0.0007538466,0.00004058283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001226616,0.0014800484,0.0014143509,0.00043306124,0.000435863,0.00038194,0.00561354,0.000007589779,0.012930721,0.9557601,0.014902849,0.0065172813],"study_design_scores_gemma":[0.002495394,0.00061712065,0.00026358734,0.0001256362,0.00019455957,0.005674743,0.0035332944,0.00017027756,0.0019093875,0.9809057,0.0037799156,0.00033040048],"about_ca_topic_score_codex":0.0000015156738,"about_ca_topic_score_gemma":0.0000049765617,"teacher_disagreement_score":0.046495583,"about_ca_system_score_codex":0.000023010061,"about_ca_system_score_gemma":0.00007112408,"threshold_uncertainty_score":0.6903775},"labels":[],"label_agreement":null},{"id":"W2119048211","doi":"10.2140/gt.2014.18.2375","title":"Lipschitz connectivity and filling invariants in solvable groups and buildings","year":2014,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Connaught Fund; University of Toronto","keywords":"Lipschitz continuity; Measure (data warehouse); Group (periodic table); Linear subspace; Space (punctuation); Euclidean geometry; Bounding overwatch; Hilbert space","score_opus":0.021764252294925866,"score_gpt":0.26796585423822766,"score_spread":0.2462016019433018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119048211","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9871822,0.000429211,0.008930565,0.0010657489,0.0003364186,0.00018292427,0.0000038482044,0.00005939958,0.0018096619],"genre_scores_gemma":[0.99198055,0.00008565668,0.007185239,0.00035966412,0.00013031007,0.00001695191,0.0000021546325,0.000021018172,0.00021844973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834347,0.00018357497,0.00033894452,0.00048269366,0.000104192215,0.00054715294],"domain_scores_gemma":[0.9968891,0.0025541657,0.00013263628,0.00026503784,0.000032099964,0.00012696141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011252558,0.00020860998,0.0005625393,0.00068898185,0.00013493976,0.000028674189,0.0001482089,0.0002830249,0.0002678572],"category_scores_gemma":[0.0034993354,0.00020035477,0.000034413923,0.0006510586,0.00032510565,0.00012179305,0.00025608594,0.00034253998,0.000015249631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037937687,0.00018052809,0.22456259,0.00017887459,0.00006031374,0.000026184103,0.00069901743,0.000005745028,0.00079803675,0.75001884,0.0005409282,0.022891],"study_design_scores_gemma":[0.002039633,0.00041927092,0.13867684,0.000035313064,0.000046626665,0.00033297268,0.00052465114,0.00074921054,0.0004863205,0.8523931,0.0038327544,0.00046329934],"about_ca_topic_score_codex":0.00039270957,"about_ca_topic_score_gemma":0.00017342615,"teacher_disagreement_score":0.10237426,"about_ca_system_score_codex":0.00002559667,"about_ca_system_score_gemma":0.000018693698,"threshold_uncertainty_score":0.81702304},"labels":[],"label_agreement":null},{"id":"W2119483791","doi":"10.1007/jhep11(2012)157","title":"Super-A-polynomials for twist knots","year":2012,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric and Algebraic Topology","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":"Perimeter Institute","funders":"","keywords":"Twist; Conjecture; Knot (papermaking); Knot theory; Homology (biology); Quantum","score_opus":0.04159033054638478,"score_gpt":0.29496264243438747,"score_spread":0.2533723118880027,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119483791","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57712513,0.0009957856,0.4163878,0.0007296712,0.0029913534,0.00008931998,0.000019711182,0.000029858822,0.0016313879],"genre_scores_gemma":[0.98277944,0.000034925088,0.012327953,0.00019744052,0.0035839858,0.0000040582845,0.000002342404,0.000027671522,0.001042193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998898,0.00004487707,0.00044804142,0.00007317763,0.00020197977,0.00033388732],"domain_scores_gemma":[0.9982847,0.0007948569,0.00043611138,0.00016226587,0.00017735844,0.00014471047],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003434889,0.00013695475,0.0004283754,0.00010068147,0.00006507927,0.000015119683,0.00019856321,0.00008489391,0.00006426343],"category_scores_gemma":[0.00030342102,0.00010546575,0.0002308962,0.00018440757,0.000051842773,0.0002266923,0.00003512754,0.00011270098,0.000006351489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032104217,0.0002973073,0.00017029255,0.000021310332,0.000112119546,0.0000020755404,0.00015373014,0.000009038887,0.00028133063,0.9691723,0.023495426,0.006252987],"study_design_scores_gemma":[0.00095835316,0.00022504329,0.00032700822,0.000017533586,0.0001368698,0.00007119256,0.00009983114,0.0000061494425,0.015070697,0.93759716,0.045323305,0.00016683152],"about_ca_topic_score_codex":0.000015409782,"about_ca_topic_score_gemma":0.0000016442766,"teacher_disagreement_score":0.4056543,"about_ca_system_score_codex":0.00004524148,"about_ca_system_score_gemma":0.000056156707,"threshold_uncertainty_score":0.43007684},"labels":[],"label_agreement":null},{"id":"W2119978149","doi":"10.1016/s0040-9383(98)00061-5","title":"Virtual Haken 3-manifolds and Dehn filling","year":2000,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Isotopy; Betti number; Conjecture; Combinatorics; 3-manifold; Dehn surgery; Manifold (fluid mechanics); Covering space; Pure mathematics; Intersection (aeronautics); Fundamental group; Knot (papermaking)","score_opus":0.026189704264798573,"score_gpt":0.28069359598660926,"score_spread":0.2545038917218107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2119978149","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97073704,0.00024422226,0.0008504525,0.0011772288,0.00016996797,0.00008581625,0.000004609392,0.000100940066,0.026629725],"genre_scores_gemma":[0.9804533,0.000085022206,0.0024720747,0.00047447436,0.00015608035,0.000006129773,0.0000032204612,0.000016111033,0.016333569],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991217,0.00006174939,0.00020666221,0.00022517495,0.000071395545,0.00031329575],"domain_scores_gemma":[0.9992392,0.0004282859,0.00004063481,0.00019896872,0.000016539174,0.00007636648],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016764808,0.00012042229,0.00024850346,0.00010496056,0.00009999964,0.000009915193,0.00012228811,0.00016238584,0.010602075],"category_scores_gemma":[0.00016316428,0.00010790938,0.00003718835,0.00014710832,0.00021054174,0.000040783805,0.00004369132,0.0001356106,0.00028606984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035552832,0.00009051779,0.0017653272,0.000015883188,0.00005575604,0.00005656256,0.0008614081,0.0000049040787,0.0000662626,0.89084786,0.008298864,0.0979011],"study_design_scores_gemma":[0.0014795146,0.0006937616,0.0046487767,0.000013058757,0.000088010594,0.0006485124,0.0007332014,0.00027187492,0.00054626545,0.8902433,0.10013895,0.00049479323],"about_ca_topic_score_codex":0.000073943746,"about_ca_topic_score_gemma":0.000034032582,"teacher_disagreement_score":0.097406305,"about_ca_system_score_codex":0.000012026454,"about_ca_system_score_gemma":0.000016243817,"threshold_uncertainty_score":0.9903024},"labels":[],"label_agreement":null},{"id":"W2120555590","doi":"10.1017/s0305004110000241","title":"The spiral index of knots","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Torsion (gastropod); Braid; Knot (papermaking); Curvature; Pure mathematics; Invariant (physics); Trefoil knot; Geometry; Combinatorics; Knot theory; Mathematical physics","score_opus":0.024703256064035277,"score_gpt":0.2746331130047573,"score_spread":0.249929856940722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2120555590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9592432,0.000031459476,0.00026440588,0.018843755,0.00025359736,0.00048984156,0.0000104646615,0.00006467957,0.020798618],"genre_scores_gemma":[0.9958492,0.000006800912,0.0030735137,0.00020117046,0.0003099888,0.000023919183,2.4982089e-7,0.000033686098,0.0005015085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976614,0.000014741773,0.0008478797,0.00027797956,0.0007492575,0.00044870982],"domain_scores_gemma":[0.9972253,0.0013252029,0.0005594513,0.00039353684,0.00036076218,0.000135788],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013135335,0.00025586193,0.0005637062,0.000032202483,0.00029509712,0.000033558532,0.001200851,0.00034066525,0.000057886835],"category_scores_gemma":[0.0035773339,0.00013241424,0.00071946735,0.00062695175,0.0017302945,0.00008633487,0.0005721602,0.0010067882,0.000012466442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017174792,0.0002434683,0.00091682863,0.00035638426,0.000082715254,1.2752291e-7,0.00016940797,8.362103e-8,0.006137199,0.98648566,0.005292066,0.00029889832],"study_design_scores_gemma":[0.00039944687,0.00006658077,0.0018117928,0.00005404416,0.00008420454,0.000027308688,0.00018511615,0.0004679065,0.0062647085,0.98998994,0.00049202057,0.00015691537],"about_ca_topic_score_codex":0.000003085504,"about_ca_topic_score_gemma":3.1979684e-7,"teacher_disagreement_score":0.036605984,"about_ca_system_score_codex":0.000023118813,"about_ca_system_score_gemma":0.00004370535,"threshold_uncertainty_score":0.63753426},"labels":[],"label_agreement":null},{"id":"W2121805679","doi":"10.1017/fms.2013.4","title":"CANNON–THURSTON MAPS DO NOT ALWAYS EXIST","year":2013,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","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":"McMaster University; National Science Foundation","keywords":"Construct (python library); Group (periodic table); Mathematics; Pure mathematics; Computer science; Physics; Programming language","score_opus":0.05145658167477177,"score_gpt":0.2992251027706994,"score_spread":0.24776852109592765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121805679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7143081,0.0020695308,0.039517608,0.006356705,0.005211483,0.0059514632,0.0017130694,0.0010284757,0.22384357],"genre_scores_gemma":[0.8443855,0.00013590552,0.14209297,0.00019002728,0.0003538478,0.000311819,0.00012186667,0.00026484992,0.01214323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99553555,0.0001020122,0.0017469476,0.00075196655,0.0009372337,0.0009262578],"domain_scores_gemma":[0.99402994,0.0013919005,0.0017965662,0.002149812,0.0003831505,0.00024862276],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00094152556,0.0008021986,0.0018904641,0.0006694521,0.0001308716,0.0001005472,0.001440471,0.0010184392,0.0012087538],"category_scores_gemma":[0.001615104,0.0007122585,0.0006049219,0.00037035733,0.0003627649,0.00008937077,0.0017890172,0.0010149431,0.00038849682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012457337,0.0008642172,0.00012609301,0.0048406366,0.00037109546,0.000018481645,0.0024283538,0.00003145488,0.00017776398,0.89750516,0.092124134,0.0015001472],"study_design_scores_gemma":[0.00052487646,0.00014647513,0.000039048085,0.00064685754,0.0002481057,0.000043587625,0.0018926591,0.00027293194,0.002107885,0.9895532,0.003823963,0.0007003845],"about_ca_topic_score_codex":0.00022716091,"about_ca_topic_score_gemma":0.000037737354,"teacher_disagreement_score":0.21170034,"about_ca_system_score_codex":0.0001470609,"about_ca_system_score_gemma":0.00023865937,"threshold_uncertainty_score":0.9997043},"labels":[],"label_agreement":null},{"id":"W2124236911","doi":"10.1017/s0305004113000285","title":"Cubulating one-relator groups with torsion","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Codimension; Torsion (gastropod); Mathematics; Covering space; Linear subspace; Pure mathematics; Combinatorics; Generalization; Mathematical analysis","score_opus":0.030681823506412905,"score_gpt":0.24407766774034367,"score_spread":0.21339584423393076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124236911","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9672477,0.00002470549,0.0010359568,0.012773336,0.00005913816,0.0008617355,0.000004004883,0.00015154398,0.017841853],"genre_scores_gemma":[0.9705723,0.0000028739746,0.028175317,0.00040849653,0.00026594513,0.00007160416,6.617463e-7,0.000055205048,0.0004475949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99753195,0.00001654828,0.0007123154,0.00040486007,0.0008144839,0.00051987],"domain_scores_gemma":[0.9981508,0.00054203765,0.00045374158,0.00028779107,0.00035364807,0.00021197622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005474125,0.0003272275,0.0006632684,0.00004368984,0.00025901655,0.000060638606,0.000643305,0.0003029563,0.00025426666],"category_scores_gemma":[0.0009977508,0.00018962471,0.00044646335,0.00069246,0.00062191795,0.00025231333,0.0004315055,0.00063490734,0.00007944887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000116314895,0.00038702047,0.00085795997,0.0006752879,0.00012189135,2.0302261e-7,0.0003141174,3.499888e-7,0.0031115636,0.98925054,0.0051691066,0.00010035075],"study_design_scores_gemma":[0.0006148175,0.00016457161,0.0019492469,0.0002976168,0.00014913229,0.000037343365,0.0003830248,0.0012003947,0.0026492318,0.9922247,0.000036805635,0.0002931276],"about_ca_topic_score_codex":0.000006905826,"about_ca_topic_score_gemma":5.365463e-8,"teacher_disagreement_score":0.02713936,"about_ca_system_score_codex":0.00008460396,"about_ca_system_score_gemma":0.000025345887,"threshold_uncertainty_score":0.77326715},"labels":[],"label_agreement":null},{"id":"W2125389119","doi":"10.1016/s0166-8641(02)00126-8","title":"Generic fibre product of one-dimensional manifolds","year":2003,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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; Product (mathematics); Manifold (fluid mechanics); Characterization (materials science); Simple (philosophy); Pure mathematics; Topology (electrical circuits); Combinatorics; Geometry; Physics","score_opus":0.04433760754463358,"score_gpt":0.29276524798862463,"score_spread":0.24842764044399104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2125389119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96256894,0.0038970367,0.0065563186,0.002756727,0.00012112785,0.00078872574,0.000025020288,0.00008606808,0.023200063],"genre_scores_gemma":[0.9892461,0.000058869584,0.0078026904,0.00011549138,0.000045356814,0.000083240564,0.000005414787,0.000008432325,0.0026344198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99933434,0.00004626172,0.0002038746,0.00020287895,0.000060902803,0.00015173154],"domain_scores_gemma":[0.99936235,0.0002172425,0.00009213729,0.00021742754,0.00006507391,0.000045772937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015062628,0.000081382495,0.00018260672,0.00009354985,0.00010754295,0.0000020142147,0.00007981782,0.00008316628,0.0006186318],"category_scores_gemma":[0.00015722318,0.00007461585,0.000027467067,0.0002575649,0.00013666657,0.000024821891,0.000031198117,0.00007865794,0.000037953654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000024423925,0.00012484864,0.00027766402,0.000032440865,0.000024828725,3.1347113e-7,0.000043281245,0.0000010512755,0.0016067189,0.9958385,0.0010763201,0.00097157486],"study_design_scores_gemma":[0.00046885776,0.0001195642,0.0036200357,0.000006176375,0.000098350334,0.00014562068,0.00012930219,0.000022850747,0.021568948,0.9266845,0.046919096,0.00021672247],"about_ca_topic_score_codex":0.00000484498,"about_ca_topic_score_gemma":0.0000033806434,"teacher_disagreement_score":0.06915404,"about_ca_system_score_codex":0.000005879391,"about_ca_system_score_gemma":0.00003648821,"threshold_uncertainty_score":0.67735845},"labels":[],"label_agreement":null},{"id":"W2128454579","doi":"10.5565/publmat_50106_12","title":"Compact hyperbolic tetrahedra with non-obtuse dihedral angles","year":2006,"lang":"ca","type":"article","venue":"Publicacions Matemàtiques","topic":"Geometric and Algebraic Topology","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":"Mathematics; Tetrahedron; Dihedral angle; Pure mathematics; Geometry; Combinatorics; Physics","score_opus":0.014020812163950094,"score_gpt":0.25852789317895514,"score_spread":0.24450708101500504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128454579","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89701223,0.0013757064,0.0024919389,0.0142991375,0.0004893663,0.0010930211,0.00030060174,0.0010558688,0.081882104],"genre_scores_gemma":[0.98251003,0.0001458826,0.0044455267,0.00033409477,0.000776156,0.00006177857,0.0001575845,0.00018335953,0.011385565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99547243,0.00027587963,0.0011013704,0.0008991448,0.00069774385,0.0015534373],"domain_scores_gemma":[0.99649835,0.0007372136,0.00058249774,0.001278912,0.00046094603,0.00044208727],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005832155,0.00087598857,0.0012681279,0.0012355103,0.00049352774,0.00064382516,0.00085320364,0.0005442907,0.0016055115],"category_scores_gemma":[0.0003401222,0.00069775386,0.0003252997,0.0020882094,0.00064334593,0.0007842357,0.00020465914,0.00072924636,0.0007174651],"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":[0.00015383669,0.004165994,0.04276725,0.00085414463,0.0006203121,0.00023797316,0.0015905238,0.00003358669,0.00070337614,0.7594046,0.18715885,0.0023095727],"study_design_scores_gemma":[0.008468115,0.0032610837,0.29203734,0.0011333093,0.0017803865,0.0017841228,0.005919171,0.0012689526,0.011563559,0.23321645,0.43369862,0.0058688745],"about_ca_topic_score_codex":0.0011464404,"about_ca_topic_score_gemma":0.00042976587,"teacher_disagreement_score":0.52618814,"about_ca_system_score_codex":0.00020959658,"about_ca_system_score_gemma":0.00032012467,"threshold_uncertainty_score":0.99954736},"labels":[],"label_agreement":null},{"id":"W2132081274","doi":"10.4171/ggd/66","title":"Flag-no-square triangulations and Gromov boundaries in dimension 3","year":2009,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Coxeter group; Flag (linear algebra); Mathematics; Dimension (graph theory); Square (algebra); Combinatorics; Artin group; Pure mathematics; Coxeter complex; Simplicial complex; Geometry; Algebra over a field","score_opus":0.013464997425759101,"score_gpt":0.26310489428270445,"score_spread":0.24963989685694535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132081274","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99006504,0.00053688284,0.006630231,0.0010868338,0.00018930172,0.0001897761,0.00001936703,0.000064003936,0.001218565],"genre_scores_gemma":[0.99500287,0.0000747443,0.0038666714,0.00020344312,0.000060276983,0.0000037609932,0.00003520825,0.000011187575,0.000741819],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892545,0.000051763083,0.00031152184,0.00027836778,0.00014007126,0.00029280453],"domain_scores_gemma":[0.9992196,0.00035030494,0.0000869941,0.00020050246,0.000046086632,0.000096519274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003350543,0.00017313959,0.00032165353,0.0005072001,0.00024931302,0.000094641815,0.00007222202,0.00018027745,0.0000527107],"category_scores_gemma":[0.00063040503,0.00015933752,0.000039660335,0.0007860004,0.00018773641,0.00016010157,0.000062312836,0.00020319321,0.000008762376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065017426,0.00019693034,0.020323854,0.000086913315,0.000021585041,0.0000333535,0.0007804254,0.000007886307,0.000036142595,0.95274353,0.00035038422,0.025353992],"study_design_scores_gemma":[0.0015485672,0.00038562773,0.18442595,0.000047120255,0.00004475894,0.00009396515,0.0007992413,0.008323162,0.000007905461,0.80300635,0.000964958,0.0003524234],"about_ca_topic_score_codex":0.000034707802,"about_ca_topic_score_gemma":0.00014110969,"teacher_disagreement_score":0.16410209,"about_ca_system_score_codex":0.00004379149,"about_ca_system_score_gemma":0.00002308603,"threshold_uncertainty_score":0.6497596},"labels":[],"label_agreement":null},{"id":"W2133112574","doi":"10.5802/afst.1480","title":"Knot complements, hidden symmetries and reflection orbifolds","year":2016,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach; National Science Foundation","keywords":"Homogeneous space; Reflection (computer programming); Knot (papermaking); Mathematics; Pure mathematics; Psychology; Computer science; Geometry; Materials science; Composite material; Programming language","score_opus":0.14038184496993847,"score_gpt":0.4190530114267058,"score_spread":0.27867116645676737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133112574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975266,0.00053134427,0.015748788,0.0011565011,0.00003933666,0.00014898277,0.000021484402,0.00028339218,0.0068041724],"genre_scores_gemma":[0.9269565,0.00068883545,0.07086896,0.00034068708,0.000059301463,0.000025124364,0.0000013558933,0.000020146774,0.0010391341],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805737,0.00037201066,0.00034877582,0.0003562563,0.00029665846,0.00056893076],"domain_scores_gemma":[0.9978004,0.0015543839,0.00017259936,0.00019021322,0.00013050632,0.00015189477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017305831,0.00022161787,0.00029577993,0.0003554321,0.00054894126,0.0002082,0.00035322292,0.00014955482,0.00020434895],"category_scores_gemma":[0.001681327,0.00014300343,0.00006991384,0.000638002,0.0020909582,0.00039145528,0.0001596259,0.00011186151,0.000027804661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042378993,0.00026677834,0.06571418,0.0002976956,0.0001344862,0.000047971975,0.0132457465,0.0000012426108,0.006869678,0.82095003,0.031657938,0.060771894],"study_design_scores_gemma":[0.00043278513,0.00042746981,0.021651622,0.00014963103,0.000044700068,0.00035157695,0.0015299988,0.00009998876,0.006157747,0.96030825,0.008511547,0.00033470106],"about_ca_topic_score_codex":0.0001370893,"about_ca_topic_score_gemma":0.00012639807,"teacher_disagreement_score":0.13935822,"about_ca_system_score_codex":0.00014043615,"about_ca_system_score_gemma":0.000104516526,"threshold_uncertainty_score":0.7704222},"labels":[],"label_agreement":null},{"id":"W2133388067","doi":"10.4153/cmb-2000-034-8","title":"Cockcroft Properties of Thompson’s Group","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Engineering and Physical Sciences Research Council; Heriot-Watt University","keywords":"Mathematics; Group (periodic table); Cantor set; Fundamental group; Euler characteristic; Pure mathematics; Word (group theory); Combinatorics; Geometry; Quantum mechanics","score_opus":0.032014323639103455,"score_gpt":0.2351170033036162,"score_spread":0.20310267966451276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133388067","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84990394,0.00029593584,0.0003463808,0.007463016,0.00007703139,0.00043695496,0.00002128268,0.00009108083,0.14136435],"genre_scores_gemma":[0.97226256,0.000010946456,0.00448426,0.0005379736,0.000068998015,0.000028223945,0.0000021918115,0.00003383386,0.022571027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985242,0.00007056599,0.00046572136,0.00022377413,0.00021202704,0.00050372304],"domain_scores_gemma":[0.9988314,0.00024986046,0.00006860543,0.00038870267,0.000052373573,0.0004090897],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035800622,0.00018362877,0.00043919505,0.00019178326,0.000090152345,0.000019584837,0.00030469973,0.00015265073,0.14038478],"category_scores_gemma":[0.0007430659,0.00014744274,0.00011342167,0.0002561266,0.0002502398,0.000019568623,0.000021684546,0.00016869561,0.007863813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032609085,0.0003268157,0.00012046051,0.0008330003,0.00010506069,0.000070733986,0.0012711141,0.0000015456656,0.00030971415,0.8685598,0.114925995,0.013443188],"study_design_scores_gemma":[0.0008795244,0.00020518598,0.0003203161,0.00038368054,0.0001079489,0.00017948392,0.00073185004,0.00010876235,0.0013321859,0.6442492,0.35084903,0.0006528119],"about_ca_topic_score_codex":0.00077787536,"about_ca_topic_score_gemma":0.0005075374,"teacher_disagreement_score":0.23592305,"about_ca_system_score_codex":0.00006567785,"about_ca_system_score_gemma":0.00010743049,"threshold_uncertainty_score":0.99290866},"labels":[],"label_agreement":null},{"id":"W2134360854","doi":"10.1142/s0218216502001573","title":"UPPER BOUNDS ON LINKING NUMBERS OF THICK LINKS","year":2002,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"York University","funders":"","keywords":"Mathematics; Combinatorics; Writhe; Linking number; Upper and lower bounds; Knot (papermaking); Bounded function; Lattice (music); Order (exchange); Discrete mathematics; Geometry; Twist; Mathematical analysis; Physics","score_opus":0.04868838459953887,"score_gpt":0.30490912518518437,"score_spread":0.2562207405856455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2134360854","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97674537,0.0017360402,0.0038845213,0.0024442743,0.00029870908,0.00010114364,0.000006822206,0.000015498714,0.014767638],"genre_scores_gemma":[0.9951518,0.00038299843,0.0010002995,0.00018010568,0.00013675648,0.0000011030288,5.424501e-7,0.000010368944,0.0031360225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989868,0.00016989926,0.0004726747,0.00008469727,0.00016289952,0.00012306384],"domain_scores_gemma":[0.9976271,0.0015141024,0.00044723265,0.00015917368,0.00017967225,0.00007274046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000985501,0.000088422494,0.00023806025,0.00025589447,0.00012622446,0.000016575934,0.0001645044,0.00015494651,0.00053139485],"category_scores_gemma":[0.0013733185,0.00006772679,0.000104918916,0.00026515825,0.000103667284,0.000095219046,0.00001768112,0.00045632545,0.000023607223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002631967,0.00023343798,0.00015690281,0.00003507102,0.0000688799,0.0000021843755,0.0018350832,0.000006386292,0.0004340676,0.99245554,0.0008908595,0.003855286],"study_design_scores_gemma":[0.00079296186,0.0003389078,0.0021405434,0.00018983099,0.00017326647,0.00018897967,0.0014442292,0.00020657777,0.0013302962,0.9818195,0.011208111,0.0001667871],"about_ca_topic_score_codex":3.316253e-7,"about_ca_topic_score_gemma":3.27663e-7,"teacher_disagreement_score":0.01840645,"about_ca_system_score_codex":0.00001503909,"about_ca_system_score_gemma":0.000021947566,"threshold_uncertainty_score":0.5818401},"labels":[],"label_agreement":null},{"id":"W2138390191","doi":"10.48550/arxiv.1308.2315","title":"Random groups and nonarchimedean lattices","year":2013,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Chemistry","score_opus":0.08048150638752109,"score_gpt":0.20025675787846903,"score_spread":0.11977525149094793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138390191","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9452409,0.0005388319,0.038808137,0.0002926311,0.00083519367,0.0011354128,0.000039879626,0.00015526696,0.012953725],"genre_scores_gemma":[0.9767121,0.0026516353,0.0015026395,0.000109080596,0.00026538578,0.000002965284,0.000022432818,0.00007508662,0.018658672],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99580914,0.0005323768,0.0006638294,0.0018384334,0.00016719388,0.0009890015],"domain_scores_gemma":[0.9946805,0.002278651,0.0008217261,0.0013534523,0.0002387656,0.0006269069],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007394778,0.00088567013,0.0014248117,0.00087456487,0.00047345978,0.00016155405,0.0011614538,0.0009204165,0.0029439302],"category_scores_gemma":[0.00047238605,0.00095340615,0.00045351966,0.00094421173,0.00113763,0.00034695092,0.0024337403,0.0013758012,0.0010182464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048925454,0.0007315592,0.010958974,0.0014765569,0.0013944324,0.00064148294,0.0022227517,0.0023880324,0.000030339317,0.97390807,0.0012216573,0.004536884],"study_design_scores_gemma":[0.007390163,0.0003214591,0.0048663015,0.0003268573,0.0015766923,0.00007884698,0.002780275,0.075616576,0.000041782503,0.902859,0.0024910518,0.0016510446],"about_ca_topic_score_codex":0.0004333782,"about_ca_topic_score_gemma":0.00007044347,"teacher_disagreement_score":0.073228545,"about_ca_system_score_codex":0.00014247588,"about_ca_system_score_gemma":0.00017611444,"threshold_uncertainty_score":0.99975955},"labels":[],"label_agreement":null},{"id":"W2138564812","doi":"10.4310/sdg.2006.v11.n1.a5","title":"Perelman’s Stability Theorem","year":2006,"lang":"en","type":"article","venue":"Surveys in Differential Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Stability (learning theory); Mathematics; Mathematical economics; Economics; Computer science","score_opus":0.03631761044093834,"score_gpt":0.2842263904688558,"score_spread":0.24790878002791744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138564812","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96639687,0.00017475427,0.020975238,0.00007033644,0.0006711052,0.00023657511,0.00003775024,0.00012830469,0.011309039],"genre_scores_gemma":[0.99779624,0.00000809699,0.0005146089,0.000018940715,0.00022302565,0.000018971657,0.000037290414,0.00003433987,0.0013484713],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99664396,0.0012447112,0.0006176793,0.000485158,0.0003806894,0.0006277937],"domain_scores_gemma":[0.99770665,0.0014200205,0.00013981202,0.00058117264,0.00007402993,0.000078284625],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0027282094,0.000277045,0.00052418455,0.00062729564,0.00008377602,0.000039788127,0.00038122237,0.00023765738,0.006293919],"category_scores_gemma":[0.0010890143,0.00024026923,0.00016169655,0.0013173468,0.00021627077,0.00008036663,0.00019366058,0.0003799826,0.00009010405],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030423067,0.0016034141,0.7661742,0.00015979982,0.000052778796,0.000029210792,0.00015390021,0.0000039393044,0.0006350397,0.21078128,0.0017901907,0.018585818],"study_design_scores_gemma":[0.0006727075,0.00004044528,0.6714801,0.000011345605,0.000013787118,0.000004282359,0.00010440503,0.000029468349,0.0012150598,0.32605523,0.00013117495,0.00024196348],"about_ca_topic_score_codex":0.00086237653,"about_ca_topic_score_gemma":0.0009404226,"teacher_disagreement_score":0.11527396,"about_ca_system_score_codex":0.000098692304,"about_ca_system_score_gemma":0.00003708931,"threshold_uncertainty_score":0.9946145},"labels":[],"label_agreement":null},{"id":"W2139572946","doi":"10.37236/1953","title":"Asymptotics of Generating the Symmetric and Alternating Groups","year":2005,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Combinatorics; Symmetric group; Alternating group; Group (periodic table); Physics","score_opus":0.015572134248169917,"score_gpt":0.26789669982978787,"score_spread":0.252324565581618,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139572946","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9776156,0.007899756,0.011886354,0.0017482723,0.00022724191,0.00008992847,3.4989196e-7,0.000007653412,0.00052486645],"genre_scores_gemma":[0.99814194,0.0009393592,0.00036151527,0.000085107175,0.00028173556,8.279502e-7,9.54076e-8,0.000016523389,0.00017289602],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998357,0.0001706805,0.00060753553,0.00007715034,0.00039445225,0.00039318172],"domain_scores_gemma":[0.99699825,0.0016914874,0.0008440355,0.00021087627,0.00021098003,0.000044357723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023840647,0.00012604197,0.00030427126,0.00019539296,0.0001706093,0.000024938035,0.00048285731,0.000057146957,0.000009926198],"category_scores_gemma":[0.0011998316,0.000068389025,0.000097909884,0.0007355626,0.000102931706,0.00008362624,0.00009050721,0.00067241496,0.0000010851938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000073734964,0.000075808646,0.00043699433,0.000014199204,0.00010625984,0.0000014045751,0.0004519277,0.00008377067,0.0001269865,0.99333495,0.00019049554,0.0051698172],"study_design_scores_gemma":[0.00079395005,0.00047605613,0.00029918257,0.000021273392,0.00015181935,0.00050314044,0.00051593175,0.0020241824,0.0014908505,0.992611,0.0010117816,0.000100850324],"about_ca_topic_score_codex":0.0000042421984,"about_ca_topic_score_gemma":0.0000037375737,"teacher_disagreement_score":0.020526363,"about_ca_system_score_codex":0.00012114593,"about_ca_system_score_gemma":0.00014278982,"threshold_uncertainty_score":0.29213458},"labels":[],"label_agreement":null},{"id":"W2139839768","doi":"10.48550/arxiv.1102.0701","title":"On zeros of the Alexander polynomial of an alternating knot","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Alexander polynomial; Knot (papermaking); Mathematics; Knot polynomial; Combinatorics; Jones polynomial; Polynomial; Trefoil knot; Knot theory; Skein relation; Pure mathematics; Discrete mathematics; Mathematical analysis; Engineering","score_opus":0.15762390727469516,"score_gpt":0.22481335974895278,"score_spread":0.06718945247425762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139839768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9872216,0.000009417237,0.0028362372,0.00001240676,0.00041987898,0.00021245934,0.000024449613,0.000027505,0.009236019],"genre_scores_gemma":[0.9970215,0.000009587175,0.00031550767,0.000023048353,0.000056909088,2.8330615e-7,0.0000025368195,0.00001989094,0.0025507463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890375,0.00014364088,0.00026844518,0.00040054598,0.00008658711,0.00019703945],"domain_scores_gemma":[0.99800766,0.00029654562,0.0006398284,0.0008986503,0.000095144256,0.00006219056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021569846,0.00020064159,0.0004086949,0.00023495253,0.000055762925,0.000004288559,0.00089311105,0.00026282817,0.00033317087],"category_scores_gemma":[0.00022851952,0.00016843205,0.00024216932,0.0002736876,0.0002309859,0.000043564924,0.000716884,0.00041615096,0.000007573505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020510436,0.00077062304,0.007141605,0.00036964152,0.00037804397,0.000038832422,0.0010146179,0.006886648,0.00038665254,0.9817006,0.00055501104,0.0005526266],"study_design_scores_gemma":[0.0015795181,0.00033413665,0.006422903,0.00028256708,0.00040413238,0.000006343108,0.0004955998,0.004417063,0.015153029,0.97036326,0.000044717915,0.0004967201],"about_ca_topic_score_codex":0.00041945325,"about_ca_topic_score_gemma":0.000034899145,"teacher_disagreement_score":0.014766376,"about_ca_system_score_codex":0.000048979546,"about_ca_system_score_gemma":0.00009504682,"threshold_uncertainty_score":0.68684596},"labels":[],"label_agreement":null},{"id":"W2140489090","doi":"10.1142/s0218196711006704","title":"LINEAR ESTIMATES FOR SOLUTIONS OF QUADRATIC EQUATIONS IN FREE GROUPS","year":2011,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quadratic equation; Bounded function; Variable (mathematics); Free group; Group (periodic table); Value (mathematics); Combinatorics; Mathematical analysis; Applied mathematics; Statistics; Geometry","score_opus":0.10032451347535111,"score_gpt":0.3431030567158565,"score_spread":0.2427785432405054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140489090","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31576067,0.00025083357,0.6827394,0.00064610783,0.00039670948,0.00008154532,0.000013745482,0.0000054343463,0.00010559184],"genre_scores_gemma":[0.91112417,0.000014224142,0.08872717,0.000023139679,0.00008134008,0.0000034420445,0.0000041775843,0.0000057595043,0.00001661002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991449,0.000027537943,0.0005039613,0.00006428849,0.0001714008,0.000087883716],"domain_scores_gemma":[0.99830633,0.0008089622,0.00038318522,0.000046825495,0.00042341044,0.000031298376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000359583,0.000062602514,0.00016660718,0.00040700258,0.000025012085,0.0000070750752,0.00016311923,0.000044241533,0.000030485466],"category_scores_gemma":[0.0010867192,0.000057393278,0.00006367457,0.00012891502,0.00005868851,0.00017644977,0.000034971865,0.00007276699,7.8630677e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114295464,0.0004933293,0.001991885,0.000053353113,0.00021290706,0.000010847877,0.0027819523,0.00036007407,0.00016216231,0.9786598,0.00073799456,0.014421376],"study_design_scores_gemma":[0.0010238684,0.00021631867,0.005807193,0.000063525105,0.00004153669,0.000058571466,0.00043318124,0.015345442,0.00026194064,0.9766807,0.000012435174,0.00005527999],"about_ca_topic_score_codex":0.000023612109,"about_ca_topic_score_gemma":0.000021436621,"teacher_disagreement_score":0.59536344,"about_ca_system_score_codex":0.000023253211,"about_ca_system_score_gemma":0.00004898717,"threshold_uncertainty_score":0.234043},"labels":[],"label_agreement":null},{"id":"W2140906750","doi":"10.1007/978-3-7643-9911-5_8","title":"Equations and Fully Residually Free Groups","year":2010,"lang":"en","type":"book-chapter","venue":"Birkhäuser Basel eBooks","topic":"Geometric and Algebraic Topology","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":true,"ca_institutions":"McGill University","funders":"","keywords":"Process (computing); Finitely-generated abelian group; SAINT; Group (periodic table); Mathematics; Computer science; Pure mathematics; Mathematics education; Algebra over a field; Physics","score_opus":0.04858030479650327,"score_gpt":0.26595781384066325,"score_spread":0.21737750904415998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140906750","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0013398881,0.00032784138,0.0043863556,0.0006688229,0.00058969756,0.0007095544,0.00024433024,0.00035972422,0.9913738],"genre_scores_gemma":[0.009257166,0.000034807355,0.015545026,0.0005657574,0.0007025154,0.000048007387,0.000041331998,0.00022696989,0.9735784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977616,0.00003940517,0.00064692466,0.0006513324,0.00045512416,0.0004456118],"domain_scores_gemma":[0.9964365,0.0014033671,0.00039689423,0.0013413158,0.00017476361,0.0002471939],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005017503,0.0005643837,0.0006941577,0.00060847454,0.00025452016,0.00007478852,0.00055279623,0.0008425233,0.0015885631],"category_scores_gemma":[0.0009442319,0.00052951305,0.00019463387,0.000033987086,0.00043415825,0.000047490063,0.00044731167,0.001062952,0.00023091369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014254221,0.000019409597,0.000008192763,0.00010552312,0.000112429916,0.000046874946,0.00023268635,2.5913534e-8,0.000085249885,0.9866309,0.009198763,0.0035456487],"study_design_scores_gemma":[0.0005818612,0.000086586486,0.000037132206,0.00007810542,0.00023004269,0.000044537956,0.000023614777,0.000004159525,0.000099459634,0.8388832,0.15942593,0.0005053542],"about_ca_topic_score_codex":0.00003944502,"about_ca_topic_score_gemma":0.000673504,"teacher_disagreement_score":0.15022717,"about_ca_system_score_codex":0.000036015797,"about_ca_system_score_gemma":0.00021018222,"threshold_uncertainty_score":0.9997156},"labels":[],"label_agreement":null},{"id":"W2141223700","doi":"10.1112/jlms/jdn063","title":"Reducible and finite Dehn fillings","year":2008,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Knot (papermaking); Boundary (topology); Fibered knot; Manifold (fluid mechanics); Hyperbolic 3-manifold","score_opus":0.04781017609587428,"score_gpt":0.27930539173738095,"score_spread":0.23149521564150666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141223700","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9780172,0.00046064737,0.016078288,0.0038743357,0.00020252123,0.00012810875,0.000002057438,0.000019336165,0.0012174855],"genre_scores_gemma":[0.90013725,0.0004037859,0.09433198,0.0006624748,0.00028562237,0.0000023552277,1.2654066e-7,0.00002820798,0.0041482258],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862707,0.00006689204,0.0005696873,0.00010879537,0.00039097868,0.00023660001],"domain_scores_gemma":[0.9975616,0.0014970297,0.00045348328,0.00024583345,0.000121649246,0.00012040289],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008212912,0.00013652808,0.00041676927,0.000038118535,0.00022113208,0.00001790211,0.00031693323,0.00012589079,0.00024801324],"category_scores_gemma":[0.00207126,0.00007586671,0.0004444537,0.00030417985,0.00032339853,0.00008914556,0.00013299109,0.0004313052,0.000014966658],"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":[0.00014884483,0.0023465606,0.007977971,0.0017581746,0.001569496,0.00015519465,0.036546268,0.00009259735,0.00312704,0.43936273,0.5029149,0.0040001976],"study_design_scores_gemma":[0.0008893357,0.00012495846,0.0008499353,0.0001246285,0.00013555073,0.001963521,0.0005970192,0.0006329247,0.0011878156,0.99000216,0.0033322752,0.00015986014],"about_ca_topic_score_codex":0.0000011628155,"about_ca_topic_score_gemma":1.366121e-7,"teacher_disagreement_score":0.55063945,"about_ca_system_score_codex":0.0000346975,"about_ca_system_score_gemma":0.00005760555,"threshold_uncertainty_score":0.30937546},"labels":[],"label_agreement":null},{"id":"W2142072686","doi":"10.1090/s0002-9939-09-09802-5","title":"Classification of almost quarter-pinched manifolds","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":33,"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":"John D. and Catherine T. MacArthur Foundation; National Science Foundation","keywords":"Quarter (Canadian coin); Diffeomorphism; Manifold (fluid mechanics); Mathematics; Geometry; Combinatorics; Pure mathematics; Geography; Engineering","score_opus":0.02669155231926932,"score_gpt":0.29382368135105397,"score_spread":0.2671321290317846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142072686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98339546,0.000016052203,0.0015029544,0.0035470715,0.00002319893,0.00028179877,0.000003873896,0.000059676164,0.011169947],"genre_scores_gemma":[0.9660422,0.000010571886,0.033451296,0.00020945386,0.000041667365,0.000008928897,3.5903975e-7,0.0000141331875,0.00022139121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847806,0.00001189685,0.00059962575,0.0002176115,0.00041741034,0.00027540216],"domain_scores_gemma":[0.9981571,0.00032221293,0.0010007407,0.00022707833,0.00022421892,0.00006869209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005085371,0.00017394223,0.00058726873,0.000043402633,0.00007427987,0.000012856745,0.000550859,0.00007567195,0.0000642179],"category_scores_gemma":[0.0007125568,0.00011586121,0.000408947,0.0009167329,0.0005859096,0.000076415105,0.00008249144,0.00017636141,0.000008250168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023600023,0.0006922647,0.002619911,0.00041068633,0.000108176006,7.975492e-8,0.002568145,1.3156772e-7,0.043776963,0.9343964,0.013157812,0.0022458376],"study_design_scores_gemma":[0.00029249978,0.00031416744,0.038401514,0.00008506953,0.00012481172,0.0000139371505,0.006383259,0.0005151172,0.008386008,0.9452273,0.00007946987,0.00017680279],"about_ca_topic_score_codex":0.000004831755,"about_ca_topic_score_gemma":9.028617e-8,"teacher_disagreement_score":0.035781603,"about_ca_system_score_codex":0.00004118412,"about_ca_system_score_gemma":0.000022803111,"threshold_uncertainty_score":0.4724683},"labels":[],"label_agreement":null},{"id":"W2142086445","doi":"10.1090/conm/633/12648","title":"Classification of automorphic conjugacy classes in the free group on two generators","year":2015,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Conjugacy class; Group (periodic table); Automorphic form; Pure mathematics; Langlands–Shahidi method; Free group; Chemistry","score_opus":0.09142112510553647,"score_gpt":0.337193194813558,"score_spread":0.2457720697080215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142086445","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006659265,0.0009621303,0.010627954,0.0016254033,0.00031089762,0.0032180853,0.00047252787,0.0006301513,0.9754936],"genre_scores_gemma":[0.5345284,0.00044045874,0.32046735,0.0030985125,0.0019756202,0.0015304371,0.0006246991,0.0035471388,0.13378741],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99461627,0.00057380635,0.0018634524,0.00076841,0.0015036345,0.00067443965],"domain_scores_gemma":[0.9908122,0.0038855127,0.0024460037,0.0024647505,0.00015811533,0.00023341416],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026848617,0.0009237986,0.0024224997,0.00043210483,0.000089531255,0.00007081704,0.0018960283,0.0005025085,0.0010882257],"category_scores_gemma":[0.0024995888,0.0006353368,0.00062515895,0.0017811313,0.0018476581,0.0000853394,0.00028726176,0.0010010037,0.00016927611],"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":[0.000009703844,0.0013977452,0.00005158798,0.0010197756,0.00022711976,0.00001239635,0.0021975995,3.550768e-7,0.000018076362,0.36139,0.63350004,0.00017562248],"study_design_scores_gemma":[0.0028400084,0.0007762387,0.00007865803,0.0014521029,0.00034771906,0.000049540948,0.018667916,0.001509009,0.000024488856,0.91231966,0.060629595,0.0013050897],"about_ca_topic_score_codex":0.00010353492,"about_ca_topic_score_gemma":0.00003875589,"teacher_disagreement_score":0.84170616,"about_ca_system_score_codex":0.00016738551,"about_ca_system_score_gemma":0.0003942818,"threshold_uncertainty_score":0.99982494},"labels":[],"label_agreement":null},{"id":"W2142104785","doi":"10.1007/bfb0065182","title":"Power series and matrix representations of certain relatively free groups","year":2006,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Physics; Stereochemistry; Combinatorics; Mathematics; Chemistry","score_opus":0.02100898379400197,"score_gpt":0.28323434969906014,"score_spread":0.2622253659050582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142104785","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00897268,0.0053785304,0.27201083,0.002253694,0.00048537127,0.0022441098,0.00048944337,0.00028562738,0.7078797],"genre_scores_gemma":[0.1631492,0.0004973997,0.50297797,0.00011462987,0.00033743712,0.000063221996,0.00012026624,0.000494431,0.33224544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99785215,0.00004172668,0.0010207102,0.00040314402,0.0003829937,0.00029925167],"domain_scores_gemma":[0.99497336,0.0032281338,0.0007735808,0.00084336835,0.00012531492,0.00005621144],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033496958,0.00047921037,0.0010429935,0.00059437455,0.00006713962,0.000023912542,0.00033901815,0.000743758,0.0005824384],"category_scores_gemma":[0.0027442917,0.0004221944,0.000173819,0.00019535422,0.0003961297,0.000077329234,0.00024384882,0.00065057364,0.000013038278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014404326,0.000088098706,0.00011891713,0.0009713682,0.0001135589,0.000039828923,0.0019561343,0.000049672417,0.000024348648,0.99483114,0.001590216,0.00020229246],"study_design_scores_gemma":[0.00040346634,0.000119717675,0.00006488479,0.00040873708,0.00013337572,0.00010477425,0.00007301157,0.00005752303,0.00013180748,0.9970796,0.0010617112,0.00036138017],"about_ca_topic_score_codex":0.000018350845,"about_ca_topic_score_gemma":0.00012144653,"teacher_disagreement_score":0.37563428,"about_ca_system_score_codex":0.000058988542,"about_ca_system_score_gemma":0.000054060114,"threshold_uncertainty_score":0.999823},"labels":[],"label_agreement":null},{"id":"W2142542583","doi":"10.1007/s11856-014-1058-3","title":"Removing chambers in Bruhat-Tits buildings","year":2014,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Countable set; Euclidean geometry; Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics; Arithmetic; Geometry","score_opus":0.029627857318380864,"score_gpt":0.2958069299723204,"score_spread":0.26617907265393953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142542583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9571713,0.00013070322,0.038054276,0.0011844288,0.00033619354,0.00010008242,7.1807443e-7,0.00002440656,0.002997861],"genre_scores_gemma":[0.8023797,0.000031607735,0.19687714,0.00017044369,0.00017187129,0.0000010612512,1.5969133e-7,0.00003434994,0.0003336648],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979207,0.00009067198,0.001065007,0.00012798303,0.0004510628,0.00034458283],"domain_scores_gemma":[0.9970599,0.0014462704,0.00091992214,0.00027722208,0.00016870843,0.00012800415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023475203,0.00019079965,0.00064452074,0.00046295312,0.00006985748,0.000047507907,0.0004009882,0.00014122612,0.000069485955],"category_scores_gemma":[0.0042895465,0.00015519607,0.00016785317,0.00048583743,0.00009444217,0.00012773112,0.000078174984,0.00040356608,0.000028632072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000404498,0.0013449107,0.0062198387,0.0011050222,0.00020265924,0.00028903308,0.010788172,0.00015264873,0.0018918526,0.946315,0.005339464,0.026310984],"study_design_scores_gemma":[0.0017583703,0.00028126276,0.00074935914,0.0006313523,0.000094168216,0.0017261237,0.002756787,0.0020655382,0.0007837581,0.9848581,0.003952791,0.00034240112],"about_ca_topic_score_codex":0.0000127332,"about_ca_topic_score_gemma":0.000018840736,"teacher_disagreement_score":0.15882286,"about_ca_system_score_codex":0.00009390441,"about_ca_system_score_gemma":0.00006663038,"threshold_uncertainty_score":0.6328712},"labels":[],"label_agreement":null},{"id":"W2143149197","doi":"10.1016/j.ejc.2008.01.011","title":"From the Kneser–Poulsen conjecture to ball-polyhedra","year":2008,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Geometric and Algebraic Topology","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 Calgary","funders":"","keywords":"Mathematics; Polyhedron; Ball (mathematics); Conjecture; Combinatorics; Euclidean geometry; Euclidean space; Intersection (aeronautics); Finite set; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.050821044902606215,"score_gpt":0.2747463600608664,"score_spread":0.22392531515826017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143149197","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9731941,0.000690251,0.0069874045,0.005568075,0.0018629163,0.00011841014,0.0000066147836,0.000034372784,0.011537812],"genre_scores_gemma":[0.9955322,0.00006428229,0.0014082125,0.0007570982,0.0007463976,3.5389087e-7,8.168324e-7,0.000042517888,0.0014481194],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980166,0.0005392432,0.00059005973,0.00013853585,0.0004520646,0.00026351554],"domain_scores_gemma":[0.99769396,0.001045481,0.00042774502,0.00038508483,0.00023348891,0.00021423015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009582764,0.00018199356,0.0003637205,0.00014305451,0.00018992735,0.00003132365,0.00084182835,0.000041799027,0.00022206879],"category_scores_gemma":[0.001647989,0.00011419986,0.00016935926,0.00059466343,0.0000919571,0.000077478275,0.00015947719,0.0005288806,0.00018061994],"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":[0.00014830971,0.0006623777,0.013071374,0.0000239035,0.00046289992,0.004549077,0.01209031,0.00003828754,0.00030628897,0.21684971,0.7458343,0.005963134],"study_design_scores_gemma":[0.004410227,0.0018570632,0.07783512,0.00013067057,0.00023122657,0.0029774953,0.0017430091,0.000010999565,0.00063577306,0.45837492,0.4511064,0.0006870905],"about_ca_topic_score_codex":0.000005607427,"about_ca_topic_score_gemma":6.86042e-7,"teacher_disagreement_score":0.29472792,"about_ca_system_score_codex":0.00004366297,"about_ca_system_score_gemma":0.000079048084,"threshold_uncertainty_score":0.4656935},"labels":[],"label_agreement":null},{"id":"W2146778057","doi":"10.1090/conm/510/10018","title":"Stretching three-holed spheres and the Margulis invariant","year":2010,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; SPHERES; Invariant (physics); Pure mathematics; Mathematical analysis; Mathematical physics; Physics","score_opus":0.03208266718052761,"score_gpt":0.2809657310342381,"score_spread":0.2488830638537105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146778057","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0037093072,0.002604149,0.06639875,0.0035439418,0.0006215178,0.0045450255,0.0002134231,0.0015514047,0.9168125],"genre_scores_gemma":[0.04319631,0.0005598445,0.53934234,0.0020119296,0.0017462374,0.00075844536,0.00007895983,0.0031969738,0.40910897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953571,0.00029438396,0.0015370817,0.0009569967,0.0009710075,0.0008834211],"domain_scores_gemma":[0.99073625,0.004804444,0.0020618162,0.0019002348,0.000091858485,0.0004054187],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0018919874,0.0011974187,0.0030860286,0.00017941039,0.00032667586,0.00025117878,0.0012712595,0.00082653953,0.0046296464],"category_scores_gemma":[0.002379268,0.0007514942,0.00095016055,0.00075034844,0.004977502,0.00010330422,0.0008306121,0.0019113654,0.00021772702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020762545,0.00037962812,0.000046572146,0.0016394116,0.00092754955,0.00001929953,0.0023277132,5.2649973e-8,0.000008326371,0.5130867,0.48051012,0.0010338866],"study_design_scores_gemma":[0.0027240047,0.00011041558,0.0000072051303,0.0007664601,0.0005881383,0.000113384085,0.0076832282,0.002902819,0.000011152929,0.9357728,0.048130244,0.0011901634],"about_ca_topic_score_codex":0.00039347322,"about_ca_topic_score_gemma":0.00023127122,"teacher_disagreement_score":0.5077035,"about_ca_system_score_codex":0.000055059314,"about_ca_system_score_gemma":0.00024225102,"threshold_uncertainty_score":0.9994936},"labels":[],"label_agreement":null},{"id":"W2148459541","doi":"10.1112/s0010437x0700334x","title":"Symplectomorphism groups and embeddings of balls into rational ruled 4-manifolds","year":2008,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","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; University of Toronto","keywords":"Symplectomorphism; Symplectic geometry; Homotopy; Homotopy group; Diffeomorphism; Symplectic vector space; Symplectic manifold; Group (periodic table)","score_opus":0.030444354484459785,"score_gpt":0.27935710018345394,"score_spread":0.24891274569899416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148459541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9636595,0.0001540243,0.029427383,0.0004843457,0.0000680243,0.0002941242,0.000008694322,0.000091473274,0.0058123963],"genre_scores_gemma":[0.9268691,0.000021917866,0.07251322,0.00008726112,0.000053006195,0.00002236573,0.00001032685,0.000023988847,0.00039882158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986364,0.00005732201,0.000537837,0.00023466478,0.00030253915,0.00023123689],"domain_scores_gemma":[0.99825287,0.0010029441,0.00023366479,0.00028430115,0.00012163483,0.000104569524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024671337,0.00019395717,0.0005101078,0.00022155694,0.00018921809,0.000014798408,0.00019647778,0.0001061879,0.0005670528],"category_scores_gemma":[0.00027759894,0.00017504023,0.0000922623,0.00028173506,0.00031520845,0.00010105571,0.000115920906,0.00011500146,0.00005405512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019400344,0.00035079411,0.0003878677,0.00039776543,0.00010362804,0.000028490509,0.0031300215,9.319903e-7,0.0072180913,0.9842981,0.0039566197,0.000108293905],"study_design_scores_gemma":[0.0009427421,0.0001846574,0.0018099786,0.000106396314,0.000087893415,0.0008503238,0.0001660192,0.0009112134,0.004621167,0.989891,0.00015482589,0.0002737929],"about_ca_topic_score_codex":0.000007710075,"about_ca_topic_score_gemma":0.0000012730833,"teacher_disagreement_score":0.043085836,"about_ca_system_score_codex":0.000029954681,"about_ca_system_score_gemma":0.000042126463,"threshold_uncertainty_score":0.71379334},"labels":[],"label_agreement":null},{"id":"W2149181791","doi":"10.1090/gsm/176","title":"Ordered Groups and Topology","year":2016,"lang":"en","type":"book","venue":"Graduate studies in mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Manitoba","funders":"","keywords":"Mathematics; Braid group; Knot (papermaking); Betti number; Algebraic number; Singular homology; Group (periodic table); Fundamental group; Braid theory; Homology (biology); Floer homology; Pure mathematics; Topology (electrical circuits); Combinatorics","score_opus":0.19151807941848734,"score_gpt":0.3729551444521955,"score_spread":0.18143706503370818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2149181791","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010706595,0.014971617,0.0019833753,0.0042128237,0.0034677903,0.0023550754,0.00013901829,0.0004958335,0.9616679],"genre_scores_gemma":[0.003472416,0.009563047,0.018997688,0.0001384238,0.0005422895,0.000117895026,0.000010199337,0.00017943025,0.9669786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997246,0.000101661324,0.0010533325,0.0005819368,0.0003737472,0.0006433129],"domain_scores_gemma":[0.99427444,0.0042079682,0.00058130024,0.00067400024,0.00017607254,0.00008620919],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00087434764,0.0006401968,0.0018214195,0.0005989999,0.0001279236,0.000015676895,0.00036893433,0.00049187307,0.00012817034],"category_scores_gemma":[0.0031597689,0.00045997338,0.00014622032,0.0002089245,0.0012859738,0.000050542225,0.0006737656,0.00055626914,0.00012139095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064156175,0.00009319804,0.000019660676,0.0021032786,0.0004543745,0.00013753072,0.004348184,3.7250658e-8,9.362355e-7,0.86198866,0.12839185,0.0024558683],"study_design_scores_gemma":[0.0006844832,0.00010740681,0.000010180296,0.00074034504,0.00017450762,0.00017097757,0.0016437325,0.000005479952,0.0000034659397,0.9830018,0.012968783,0.0004888157],"about_ca_topic_score_codex":0.0000016824478,"about_ca_topic_score_gemma":0.000040582516,"teacher_disagreement_score":0.12101315,"about_ca_system_score_codex":0.00023112753,"about_ca_system_score_gemma":0.000100213605,"threshold_uncertainty_score":0.9997852},"labels":[],"label_agreement":null},{"id":"W2150467819","doi":"10.1515/jgth-2016-0502","title":"Conjugacy distinguished subgroups","year":2016,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Conjugacy class; Mathematics; Combinatorics; Quotient; Group (periodic table); Finitely-generated abelian group; Normal subgroup; Quotient group; Class (philosophy); Cyclic group; Physics","score_opus":0.03581878191108102,"score_gpt":0.3124548961057769,"score_spread":0.2766361141946959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150467819","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6644327,0.004126044,0.26473817,0.0020685885,0.012111699,0.0005588436,0.00007439226,0.00015217598,0.05173739],"genre_scores_gemma":[0.9879562,0.00011445119,0.0066371392,0.00016514062,0.00264187,0.000004773145,0.0000027752992,0.00006695332,0.002410666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99714845,0.000526019,0.0012091928,0.00026290515,0.00047033423,0.00038311916],"domain_scores_gemma":[0.9933255,0.0032750068,0.0022648415,0.0005675174,0.000369486,0.00019767416],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0036425458,0.00035181834,0.0010506188,0.0005227277,0.00007631722,0.000054227294,0.0008984796,0.00043303904,0.0011955291],"category_scores_gemma":[0.006525611,0.00022804944,0.00058773655,0.00014779072,0.00026264208,0.000083068466,0.00058245537,0.0011719448,0.00003913731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023025571,0.00023469095,0.0007999629,0.0002689928,0.00045310165,0.0002429998,0.00042143365,3.7041175e-7,0.00016004589,0.9798743,0.010006351,0.007307511],"study_design_scores_gemma":[0.00085957744,0.00017586365,0.0009846388,0.00043686607,0.00023395175,0.00032898076,0.00019711672,0.0000020880727,0.0000627248,0.99260247,0.0038485196,0.00026719557],"about_ca_topic_score_codex":0.0000022561028,"about_ca_topic_score_gemma":0.0000011919881,"teacher_disagreement_score":0.32352355,"about_ca_system_score_codex":0.00013823817,"about_ca_system_score_gemma":0.00015403342,"threshold_uncertainty_score":0.99971753},"labels":[],"label_agreement":null},{"id":"W2150510917","doi":"10.1073/pnas.1207377110","title":"Homological and homotopical Dehn functions are different","year":2013,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Geometric and Algebraic Topology","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":"Dehn surgery; Mathematics; Group (periodic table); A priori and a posteriori; Finitely-generated abelian group; Pure mathematics; Function (biology); Space (punctuation); Algebra over a field; Computer science; Knot (papermaking); Engineering; Philosophy; Biology; Physics","score_opus":0.08139627481720398,"score_gpt":0.31648879822320103,"score_spread":0.23509252340599707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150510917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898677,0.000044314467,0.0000059397003,0.0068594613,0.000014357913,0.00012552264,0.0000028416803,0.000009922845,0.0030699414],"genre_scores_gemma":[0.9981603,0.000010794869,0.0011823393,0.00013538096,0.000043064214,0.000013810068,1.791066e-8,0.0000015331715,0.00045274282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990993,0.0000051198895,0.0001984005,0.0001433695,0.00044215276,0.00011164507],"domain_scores_gemma":[0.9992978,0.0003214368,0.00021107549,0.0000050727767,0.00013152312,0.00003306482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002969296,0.00006216837,0.00014046166,0.00011727996,0.00014132923,0.000014781111,0.00029791193,0.00006749087,0.00008780932],"category_scores_gemma":[0.001274568,0.000032921398,0.00004396225,0.00039074675,0.0008832747,0.00015659993,0.00013950779,0.00012528492,0.000002538738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034107481,0.00015239905,0.096843556,0.00007613556,0.000019525143,5.266386e-9,0.00010819341,7.858517e-7,0.010043899,0.88716096,0.0044780406,0.001113116],"study_design_scores_gemma":[0.000065808585,0.000030542386,0.47859773,0.000013340438,0.0000064650812,0.00001025033,0.00019933896,0.00006415506,0.0029235096,0.5180139,0.00004317618,0.000031768766],"about_ca_topic_score_codex":0.0000030589035,"about_ca_topic_score_gemma":3.814547e-8,"teacher_disagreement_score":0.38175416,"about_ca_system_score_codex":0.000009751978,"about_ca_system_score_gemma":0.0000053966805,"threshold_uncertainty_score":0.32544625},"labels":[],"label_agreement":null},{"id":"W2150689270","doi":"10.4153/cmb-2015-070-2","title":"A Note on Fine Graphs and Homological Isoperimetric Inequalities","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Conjugacy class; Vertex (graph theory); Characterization (materials science); Upper and lower bounds; Finitely-generated abelian group","score_opus":0.07625910247398864,"score_gpt":0.29575668733588756,"score_spread":0.2194975848618989,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150689270","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8842442,0.00037387895,0.0016227145,0.017960176,0.00018240685,0.0004864338,0.00004363283,0.00018262984,0.09490394],"genre_scores_gemma":[0.98561424,0.0000050913095,0.007352885,0.0014292313,0.000057739777,0.00003056974,0.000004528206,0.000030097513,0.005475609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998392,0.00012261173,0.00037102404,0.00030697344,0.000258724,0.00054866896],"domain_scores_gemma":[0.99710023,0.0014101287,0.00006684417,0.00032732563,0.00007991491,0.0010155359],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00071965187,0.00023152778,0.00045750794,0.0006026699,0.00009633448,0.000048541737,0.00021400672,0.00021322249,0.00557687],"category_scores_gemma":[0.00810096,0.00017997791,0.00007103091,0.0005281894,0.0002699927,0.000018028679,0.000061603445,0.0002715743,0.0036399448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011330063,0.0000746827,0.000097044714,0.000055371434,0.000015048154,0.00009879691,0.0003743179,3.3900872e-7,0.0000015198759,0.9456594,0.052371614,0.0012405617],"study_design_scores_gemma":[0.0005520723,0.00035240545,0.00017974923,0.00003511993,0.000026473599,0.00013520582,0.0003580375,0.00003922878,0.000033213095,0.9619974,0.036020435,0.00027065715],"about_ca_topic_score_codex":0.0007050447,"about_ca_topic_score_gemma":0.00040028463,"teacher_disagreement_score":0.10137006,"about_ca_system_score_codex":0.00010327928,"about_ca_system_score_gemma":0.00014816687,"threshold_uncertainty_score":0.9971358},"labels":[],"label_agreement":null},{"id":"W2151914851","doi":"10.1002/jgt.20496","title":"Geodesics and almost geodesic cycles in random regular graphs","year":2010,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Geodesic; Mathematics; Combinatorics; Random graph; Discrete mathematics; Graph; Geometry","score_opus":0.014040755417775877,"score_gpt":0.27120220803344014,"score_spread":0.25716145261566425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151914851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9954383,0.0008465564,0.0020209816,0.00029756187,0.00040073725,0.00009637567,0.0000018182529,0.000011992346,0.00088572147],"genre_scores_gemma":[0.995299,0.00025458698,0.0041091642,0.00010465469,0.00008836772,0.0000016986122,3.0154035e-7,0.000019269537,0.00012298381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986276,0.00022059093,0.00055893266,0.0001245873,0.000218321,0.00024997935],"domain_scores_gemma":[0.9976835,0.0014863567,0.0004036815,0.00021061159,0.000095591546,0.00012023691],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030781678,0.00015038498,0.00045244698,0.00080467836,0.00006948798,0.000024301276,0.00023589787,0.00015422769,0.000108128035],"category_scores_gemma":[0.001160169,0.000113077556,0.00017256668,0.00046264278,0.00033610137,0.00013787513,0.000039896906,0.00063213764,0.0000021187736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032539977,0.0002019525,0.010226636,0.000041609095,0.000103104176,0.000112930975,0.00057082943,0.0000022851111,0.0025126028,0.97641104,0.0006020167,0.008889567],"study_design_scores_gemma":[0.002261091,0.00009612795,0.011035792,0.000035739024,0.00006514517,0.0004655788,0.00043917363,0.0000050358826,0.0006404766,0.98449117,0.00034262676,0.00012201937],"about_ca_topic_score_codex":0.000005165157,"about_ca_topic_score_gemma":0.000019269486,"teacher_disagreement_score":0.008767548,"about_ca_system_score_codex":0.000007636108,"about_ca_system_score_gemma":0.000050686318,"threshold_uncertainty_score":0.46111688},"labels":[],"label_agreement":null},{"id":"W2152237026","doi":"10.1017/s1446788700002718","title":"Towers, ladders and the B. B. Newman Spelling Theorem","year":2001,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Mathematics; Torsion (gastropod); Spelling; Diagram; Combinatorics; Quasiconvex function; Pure mathematics; Geometry; Regular polygon; Linguistics","score_opus":0.04171515760633948,"score_gpt":0.2989989668949546,"score_spread":0.2572838092886151,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152237026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8919138,0.00035079505,0.015854893,0.083724424,0.0005571523,0.00053436053,0.0000027299575,0.000037085243,0.007024783],"genre_scores_gemma":[0.97012186,0.00024100547,0.017482564,0.0008478345,0.00043427863,0.0000017823331,1.0495644e-7,0.000027103008,0.010843438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834454,0.00016767925,0.00062932837,0.00011136141,0.00042843,0.0003186589],"domain_scores_gemma":[0.99743587,0.001526232,0.0005106107,0.00032155652,0.0000820999,0.0001236063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021320933,0.000172978,0.00045172198,0.000028322313,0.00021045703,0.00007346085,0.000565427,0.00013038485,0.0006207202],"category_scores_gemma":[0.0010143159,0.00007570357,0.0006296511,0.00033021346,0.00077626284,0.00009437902,0.000120385834,0.00057744904,0.000017501092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090591806,0.00019011468,0.00072231033,0.00013010904,0.0005058671,0.000017116236,0.0061343913,0.00001540888,0.000077444805,0.9140627,0.07660662,0.0014473645],"study_design_scores_gemma":[0.0013199939,0.000041922052,0.00023424848,0.00007343286,0.0002375189,0.00078781525,0.0045492174,0.00017972208,0.000103476785,0.9864071,0.005954954,0.00011056826],"about_ca_topic_score_codex":0.0000034779976,"about_ca_topic_score_gemma":6.751324e-7,"teacher_disagreement_score":0.08287659,"about_ca_system_score_codex":0.0000374969,"about_ca_system_score_gemma":0.000033427095,"threshold_uncertainty_score":0.6796451},"labels":[],"label_agreement":null},{"id":"W2152963358","doi":"10.1017/s0305004111000557","title":"Ordered groups, eigenvalues, knots, surgery and L-spaces","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia; Université du Québec à Montréal","funders":"","keywords":"Knot (papermaking); Fibered knot; Mathematics; Floer homology; Alexander polynomial; Knot invariant; Automorphism; Pure mathematics; Dehn surgery; Combinatorics; Knot theory","score_opus":0.07678485254629212,"score_gpt":0.278036413104481,"score_spread":0.20125156055818888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152963358","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622647,0.0011839875,0.0006385126,0.01790397,0.0005441871,0.0015572957,0.00009209809,0.00033745743,0.015477749],"genre_scores_gemma":[0.98674476,0.00031141873,0.0111989295,0.00038538352,0.0006081024,0.00011159577,0.0000060469774,0.00012962676,0.000504124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958834,0.00005433645,0.0014101452,0.0009733772,0.000925425,0.0007533304],"domain_scores_gemma":[0.9957113,0.0017166117,0.0012194351,0.0006137445,0.0004164256,0.00032243703],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018188043,0.0007904915,0.0019876384,0.00012624513,0.0002721929,0.00011887159,0.0011866819,0.0012593815,0.000115355004],"category_scores_gemma":[0.003474221,0.00053821463,0.0014328861,0.0005533336,0.0016120657,0.0001197416,0.0034321954,0.0018501916,0.000017470124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030612395,0.0005202483,0.00075811055,0.00647419,0.00045718777,0.0000013232054,0.00078755675,1.4898397e-7,0.0001476116,0.9641172,0.026493974,0.0002117933],"study_design_scores_gemma":[0.00027833998,0.000045694494,0.0007552495,0.00072842685,0.0004885014,0.000057218564,0.00026200453,0.00023782822,0.00066485617,0.99576306,0.00014892341,0.00056990096],"about_ca_topic_score_codex":0.000018198029,"about_ca_topic_score_gemma":2.1255315e-7,"teacher_disagreement_score":0.031645812,"about_ca_system_score_codex":0.000102376165,"about_ca_system_score_gemma":0.0001252662,"threshold_uncertainty_score":0.9997069},"labels":[],"label_agreement":null},{"id":"W2153395165","doi":"10.4153/cmb-2006-006-0","title":"Non Abelian Twisted Reidemeister Torsion for Fibered Knots","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Fibered knot; Mathematics; Monodromy; Torsion (gastropod); Pure mathematics; Abelian group; Tricolorability; Knot theory; Trefoil knot; Knot (papermaking); Anatomy","score_opus":0.023362009506251412,"score_gpt":0.2628689822299861,"score_spread":0.2395069727237347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153395165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7009538,0.00024829296,0.039730445,0.039602224,0.0008659823,0.003929564,0.000254802,0.0004466209,0.21396829],"genre_scores_gemma":[0.8973421,0.0000016309506,0.035853423,0.0013253867,0.0004520138,0.00016807765,0.00006364295,0.000100936886,0.0646928],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980338,0.000038252554,0.0005840842,0.0003715871,0.00019775209,0.00077449996],"domain_scores_gemma":[0.9981659,0.00067719346,0.00012756321,0.0004602596,0.00011648597,0.0004526203],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004475496,0.00026214117,0.00046634403,0.00031623783,0.00018506708,0.00005262952,0.00028103896,0.0002704131,0.010829925],"category_scores_gemma":[0.0010022959,0.00023442667,0.00018110994,0.00028404503,0.00011765063,0.000023297705,0.0000346948,0.000161849,0.004014828],"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":[0.000015513477,0.000110607245,0.000079664605,0.00033647017,0.000027055004,0.000032891072,0.00009806955,0.000001095668,0.00011457504,0.40214577,0.59630513,0.0007331531],"study_design_scores_gemma":[0.0008778294,0.00010466474,0.00040030555,0.000100267025,0.00006713692,0.000039321072,0.000088989094,0.00023825419,0.00039624027,0.64721066,0.3500894,0.00038693598],"about_ca_topic_score_codex":0.0019071808,"about_ca_topic_score_gemma":0.0023351354,"teacher_disagreement_score":0.24621573,"about_ca_system_score_codex":0.00018887813,"about_ca_system_score_gemma":0.00013316984,"threshold_uncertainty_score":0.99676067},"labels":[],"label_agreement":null},{"id":"W2153435781","doi":"10.2140/gt.2006.10.27","title":"Modifying surfaces in 4–manifolds by twist spinning","year":2006,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Twist; Mathematics; Diffeomorphism; Knot (papermaking); Sigma; Alexander polynomial; Combinatorics; Pure mathematics; Type (biology); Spinning; Surface (topology); Knot theory; Geometry; Physics; Chemistry; Materials science; Quantum mechanics","score_opus":0.02322869578864436,"score_gpt":0.28873576450918187,"score_spread":0.26550706872053753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153435781","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9825636,0.0017649609,0.0032140864,0.0011606562,0.00059695024,0.00021176835,0.000013879893,0.00015014465,0.010323932],"genre_scores_gemma":[0.99311084,0.000028853618,0.00320778,0.00021118161,0.00018419915,0.000026349766,0.000024300723,0.000036548197,0.0031699627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765414,0.000132194,0.0006322705,0.0005046415,0.00021597148,0.0008607797],"domain_scores_gemma":[0.9984239,0.00086002715,0.00020360491,0.00038953018,0.0000463172,0.000076641656],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006018517,0.0002795655,0.00059387984,0.00087418465,0.00012450939,0.000029502182,0.0003638274,0.00034765087,0.0010462562],"category_scores_gemma":[0.0005425594,0.00027872744,0.00009848709,0.0014943974,0.0002601399,0.00010823999,0.00016222821,0.0003754045,0.00013661748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060703333,0.0009899392,0.32723486,0.00024695796,0.00011297342,0.000296746,0.00047989728,0.00031737104,0.0049120695,0.5933606,0.065259665,0.0067281863],"study_design_scores_gemma":[0.0040908013,0.00053644786,0.10082593,0.00007033962,0.000108448665,0.00036405004,0.0017384217,0.0006423596,0.005491149,0.8063635,0.07808908,0.0016794647],"about_ca_topic_score_codex":0.0026935667,"about_ca_topic_score_gemma":0.0003866831,"teacher_disagreement_score":0.22640894,"about_ca_system_score_codex":0.0001033794,"about_ca_system_score_gemma":0.00003708113,"threshold_uncertainty_score":0.9999665},"labels":[],"label_agreement":null},{"id":"W2154095293","doi":"10.1016/s0040-9383(00)00043-4","title":"On the algebraic components of the SL(2,C) character varieties of knot exteriors","year":2002,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","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 British Columbia; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Knot (papermaking); Pure mathematics; Algebraic number; Combinatorics; Torus; Character (mathematics); Discrete mathematics; Geometry; Mathematical analysis","score_opus":0.06756370831760808,"score_gpt":0.26149401461241456,"score_spread":0.19393030629480648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154095293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98641336,0.00009502387,0.00007742116,0.00543866,0.000508671,0.00018986287,0.000008673546,0.000018215625,0.007250133],"genre_scores_gemma":[0.9957158,0.00001618232,0.00010213405,0.0006635369,0.00004801114,0.0000103424245,8.5064073e-7,0.000013402566,0.0034297612],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881417,0.00023321711,0.00037700182,0.00015289747,0.00017987973,0.00024284981],"domain_scores_gemma":[0.99771595,0.0013393264,0.00029741108,0.0005729251,0.000048582493,0.000025781792],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00024280319,0.00013569508,0.0003492493,0.00010514859,0.00008864214,0.0000034104694,0.0004761115,0.00013271585,0.0052637504],"category_scores_gemma":[0.0005792521,0.0000723643,0.00013183011,0.00025520273,0.00077026995,0.000020727795,0.00015017577,0.00020921552,0.000077540564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018061635,0.00022241901,0.0012951766,0.000033821012,0.00006190679,0.0000015991976,0.0013437402,5.3280934e-7,0.0015941752,0.989881,0.0049646185,0.00058298936],"study_design_scores_gemma":[0.0007803072,0.0004265606,0.05268497,0.0000405099,0.00009038723,0.000055736247,0.0005433858,0.00008787463,0.008231477,0.93115604,0.005685045,0.00021771452],"about_ca_topic_score_codex":0.00005039256,"about_ca_topic_score_gemma":0.0000072057414,"teacher_disagreement_score":0.058724925,"about_ca_system_score_codex":0.000012567504,"about_ca_system_score_gemma":0.000008698831,"threshold_uncertainty_score":0.9956456},"labels":[],"label_agreement":null},{"id":"W2157180606","doi":"10.1007/s40316-017-0092-z","title":"On Sandon-type metrics for contactomorphism groups","year":2017,"lang":"fr","type":"preprint","venue":"Annales mathématiques du Québec","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"European Research Council; Israel Science Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Invariant (physics); Norm (philosophy); Symplectic geometry; Bounded function; Group action; Group (periodic table); Mathematical analysis; Physics","score_opus":0.055222006915214034,"score_gpt":0.3119346326562418,"score_spread":0.2567126257410277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157180606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86775994,0.015785053,0.048862103,0.03152559,0.007919637,0.0046965736,0.0008229637,0.00073668576,0.02189146],"genre_scores_gemma":[0.94878715,0.003285839,0.013403705,0.0016757544,0.0016967208,0.00039121063,0.00029014028,0.0003012973,0.0301682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99487144,0.0003768172,0.0016002163,0.0012767403,0.0006865498,0.0011882298],"domain_scores_gemma":[0.9854353,0.008258132,0.0023322832,0.0022955101,0.0012355441,0.00044319636],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0017953473,0.0012816974,0.0023646704,0.00090044347,0.00080279476,0.00045262557,0.0019474298,0.0014936359,0.0017798063],"category_scores_gemma":[0.01632276,0.0012053648,0.001021222,0.00035945713,0.00076707057,0.0002696233,0.00090440694,0.0013813055,0.0015195843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035028293,0.0009276826,0.0014661637,0.002220118,0.0008264587,0.00010581632,0.002529401,0.000020173353,0.000018373108,0.76400536,0.21956322,0.007966939],"study_design_scores_gemma":[0.0019541767,0.0016405667,0.0033769272,0.0011338096,0.0007861094,0.00014831856,0.00019295978,0.0015078656,0.00046168597,0.60606587,0.3812353,0.0014964378],"about_ca_topic_score_codex":0.017389312,"about_ca_topic_score_gemma":0.013814968,"teacher_disagreement_score":0.16167209,"about_ca_system_score_codex":0.00073656044,"about_ca_system_score_gemma":0.0021350146,"threshold_uncertainty_score":0.9999935},"labels":[],"label_agreement":null},{"id":"W2158448919","doi":"10.1007/s00029-017-0351-5","title":"On the geography and botany of knot Floer homology","year":2017,"lang":"en","type":"preprint","venue":"Selecta Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"University of Glasgow; National Science Foundation","keywords":"Floer homology; Mathematics; Knot invariant; Knot (papermaking); Fibered knot; Knot complement; Trefoil knot; Pure mathematics; Skein relation; Tricolorability; Knot theory; Knot polynomial; Combinatorics; Symplectic geometry","score_opus":0.0426775905274913,"score_gpt":0.30530319342498097,"score_spread":0.26262560289748965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2158448919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9438574,0.0010517379,0.0024549298,0.0034401354,0.00043597756,0.00120428,0.000053290823,0.00012203961,0.04738025],"genre_scores_gemma":[0.992463,0.0001499285,0.0060097068,0.00012530455,0.000091727634,0.000107820095,0.0000034543193,0.000058655354,0.0009904073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794465,0.00018420795,0.0006024829,0.0005004018,0.00033124277,0.000437018],"domain_scores_gemma":[0.99399185,0.0032739232,0.00080431096,0.0017086515,0.00013923686,0.00008201949],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009116673,0.00041243003,0.0010052155,0.00035397673,0.00022298134,0.00006320234,0.00094315433,0.00048274413,0.0006481164],"category_scores_gemma":[0.0037378313,0.0002656409,0.00025879985,0.00016464901,0.00065885356,0.000025390396,0.0007845025,0.00082823046,0.000046934078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021411734,0.00029312007,0.00016351184,0.00096904475,0.00042719417,0.000010546964,0.0006854279,3.6063932e-7,0.00005838048,0.986485,0.010017999,0.00086799485],"study_design_scores_gemma":[0.00021066156,0.00015164225,0.0004312308,0.00026033,0.00020669392,0.000047772937,0.000055337132,0.00010938447,0.0004405829,0.997566,0.00026450978,0.00025585774],"about_ca_topic_score_codex":0.00002242198,"about_ca_topic_score_gemma":0.0000057296957,"teacher_disagreement_score":0.04860564,"about_ca_system_score_codex":0.000018100318,"about_ca_system_score_gemma":0.00009796129,"threshold_uncertainty_score":0.99997956},"labels":[],"label_agreement":null},{"id":"W2159200840","doi":"10.1090/s0002-9947-07-04168-2","title":"Homologous non-isotopic symplectic surfaces of higher genus","year":2007,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Symplectic geometry; Genus; Mathematics; Construct (python library); Symplectic representation; Pure mathematics; Symplectic group; Class (philosophy); Combinatorics; Moment map; Zoology; Biology; Computer science","score_opus":0.021100836674221704,"score_gpt":0.30083192371751527,"score_spread":0.2797310870432936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159200840","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76720685,0.000037970563,0.23001294,0.0004019499,0.00010093003,0.00022485007,0.000008703505,0.000039228315,0.0019666008],"genre_scores_gemma":[0.9624419,0.000015541122,0.035847317,0.00008031204,0.00002257546,0.00000806283,2.3711671e-7,0.000021041069,0.0015629872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855435,0.000055068325,0.00056901254,0.00017586851,0.00031078025,0.00033490156],"domain_scores_gemma":[0.99743235,0.0014650916,0.00042886406,0.0005150048,0.00008710688,0.000071597344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005243692,0.0001649897,0.0005830274,0.000055581673,0.00012082138,0.000004689923,0.0004030446,0.00008237602,0.00049202895],"category_scores_gemma":[0.0001169791,0.0001124128,0.00054610835,0.0010242102,0.0011495177,0.000036566347,0.000025581801,0.00024112177,0.000010920763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005115521,0.016932828,0.020719672,0.009490715,0.008758639,0.00002537463,0.03999834,0.0008640881,0.0732958,0.7293217,0.013317583,0.08676372],"study_design_scores_gemma":[0.0014457222,0.0008835858,0.050378658,0.00016292126,0.0011374132,0.000114108625,0.0062327334,0.0008460732,0.045076314,0.89252293,0.0004824631,0.000717062],"about_ca_topic_score_codex":0.00010741253,"about_ca_topic_score_gemma":0.000008723502,"teacher_disagreement_score":0.1952351,"about_ca_system_score_codex":0.000047008605,"about_ca_system_score_gemma":0.00004073443,"threshold_uncertainty_score":0.53873724},"labels":[],"label_agreement":null},{"id":"W2160610635","doi":"10.1007/s00208-012-0852-7","title":"On L-spaces and left-orderable fundamental groups","year":2012,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":182,"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; Fibered knot; Fundamental group; Covering space; Knot (papermaking); Pure mathematics; Complement (music); Equivalence (formal languages); Combinatorics; Link (geometry); Group (periodic table)","score_opus":0.049328048148121806,"score_gpt":0.3106111223769377,"score_spread":0.2612830742288159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160610635","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9666867,0.00090371893,0.0012411203,0.0007830248,0.00015420002,0.00020561005,0.000007903338,0.00010799497,0.029909674],"genre_scores_gemma":[0.9834597,0.000044242282,0.0073739323,0.00031015367,0.00013710778,0.000012786004,0.0000032981338,0.00003223443,0.008626515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879867,0.00005949373,0.00023940997,0.0002006217,0.00022530982,0.00047650834],"domain_scores_gemma":[0.99881595,0.00060495664,0.00011850518,0.0002768478,0.00002246506,0.00016126271],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005036451,0.00020457094,0.00031282593,0.00015603239,0.00015083828,0.00004864217,0.00013670679,0.000104969855,0.001615029],"category_scores_gemma":[0.00034532518,0.00016280996,0.00006280344,0.00014192777,0.00009424634,0.00021542708,0.000106127525,0.00017681527,0.00041416837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018247623,0.0004662841,0.008448608,0.00022253786,0.000099107114,0.0000049308783,0.004191678,2.590025e-7,0.00014958496,0.9417624,0.042461388,0.0021749616],"study_design_scores_gemma":[0.001067749,0.0003455495,0.010877136,0.00012669849,0.000102758335,0.0003212989,0.0023496589,0.00006608805,0.0016702225,0.9545016,0.027930694,0.0006405122],"about_ca_topic_score_codex":0.0000080980535,"about_ca_topic_score_gemma":0.0000045847496,"teacher_disagreement_score":0.021283159,"about_ca_system_score_codex":0.00001680558,"about_ca_system_score_gemma":0.000009412539,"threshold_uncertainty_score":0.9992976},"labels":[],"label_agreement":null},{"id":"W2162000779","doi":"10.1142/s0218216510008510","title":"THE JONES POLYNOMIAL AND THE PLANAR ALGEBRA OF ALTERNATING LINKS","year":2010,"lang":"en","type":"preprint","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Centennial College","funders":"Departamento Administrativo de Ciencia, Tecnología e Innovación (COLCIENCIAS)","keywords":"Jones polynomial; Skein; Mathematics; Bracket polynomial; Invariant (physics); Generalization; Polynomial; HOMFLY polynomial; Planar; Alternation (linguistics); Knot polynomial; Pure mathematics; Algebra over a field; Combinatorics; Discrete mathematics; Alternating polynomial; Matrix polynomial; Square-free polynomial; Skein relation; Knot theory; Mathematical analysis; Knot (papermaking); Computer science","score_opus":0.027000242643850814,"score_gpt":0.303681507530355,"score_spread":0.2766812648865042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162000779","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9762503,0.008931956,0.003528301,0.009019506,0.0010349937,0.00034232737,0.00003333756,0.000010747429,0.0008485142],"genre_scores_gemma":[0.99494827,0.002863904,0.0008606224,0.00007544251,0.0005398485,0.00000778741,0.0000016018075,0.00001572088,0.00068681064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981528,0.00052014017,0.0008356162,0.00013904514,0.00019947249,0.00015291535],"domain_scores_gemma":[0.99016744,0.007605462,0.001547152,0.00034028618,0.00026646652,0.00007322267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004197425,0.00016671754,0.00045512404,0.00017002136,0.00038377024,0.00007867755,0.0005394046,0.0003294121,0.000027484373],"category_scores_gemma":[0.004679517,0.00008515132,0.00016027654,0.000106962914,0.00062947854,0.000055154138,0.00019095516,0.0017440567,0.0000013185746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017270513,0.000051204202,0.000039679533,0.000069536574,0.00023837504,0.0000014161897,0.0018763054,0.0000048096144,0.00030498876,0.9905845,0.00043593202,0.0062205517],"study_design_scores_gemma":[0.0008708405,0.000054655364,0.001016176,0.00010898738,0.00032475177,0.00018826078,0.0014214133,0.00022233973,0.00045530507,0.9926015,0.0026152376,0.000120527104],"about_ca_topic_score_codex":0.0000059732756,"about_ca_topic_score_gemma":0.0000076073857,"teacher_disagreement_score":0.018697945,"about_ca_system_score_codex":0.000010159657,"about_ca_system_score_gemma":0.00012490152,"threshold_uncertainty_score":0.7577156},"labels":[],"label_agreement":null},{"id":"W2162204538","doi":"10.1007/978-3-642-31564-0_2","title":"Diffeomorphisms and Embeddings of Manifolds","year":2012,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Fibered knot; Pure mathematics; Separable space; Context (archaeology); Boundary (topology); Differential topology; Exponential function; Ricci-flat manifold; Mathematical analysis; Geometry; Geology","score_opus":0.031818487344014726,"score_gpt":0.2717485894713797,"score_spread":0.23993010212736499,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162204538","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.040050156,0.02284021,0.34910506,0.0012200414,0.001563971,0.0037889278,0.00026648337,0.0004971259,0.58066803],"genre_scores_gemma":[0.64703083,0.0013168755,0.28479216,0.00026514966,0.00070878485,0.000035008503,0.00004115484,0.0005287361,0.065281324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981791,0.000017930959,0.00079294736,0.00029835722,0.00034169134,0.00037000963],"domain_scores_gemma":[0.9964083,0.0022481538,0.0006475851,0.00053843355,0.00006582888,0.00009172765],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00039679735,0.00048818652,0.001170104,0.00048026466,0.00003488588,0.0000136391445,0.0002635958,0.0008342038,0.0010596836],"category_scores_gemma":[0.00086545636,0.00040957532,0.00015466654,0.0000980229,0.00025151463,0.00003781914,0.00019238135,0.00058010174,0.00003159786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007023337,0.00012661538,0.00016371292,0.0021513642,0.000129199,0.00002519257,0.0022153507,0.0000021654769,0.00008206112,0.98843706,0.00018556869,0.006474707],"study_design_scores_gemma":[0.00029457928,0.00006607314,0.000024615963,0.0004736045,0.00020976058,0.00010438272,0.000016746104,0.00007435293,0.00037429796,0.99669355,0.0012942329,0.00037382406],"about_ca_topic_score_codex":0.0000057961884,"about_ca_topic_score_gemma":0.000017359118,"teacher_disagreement_score":0.6069807,"about_ca_system_score_codex":0.000051467403,"about_ca_system_score_gemma":0.00002691887,"threshold_uncertainty_score":0.9998535},"labels":[],"label_agreement":null},{"id":"W2162977479","doi":"10.1080/00927872.2013.783586","title":"Tame Automorphisms of Elementary Free Groups","year":2014,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Geometric and Algebraic Topology","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":"Mathematics; Automorphism; Finitely-generated abelian group; Pure mathematics; Group (periodic table); Free group; Automorphism group; Outer automorphism group; Automorphisms of the symmetric and alternating groups; Combinatorics; Chemistry","score_opus":0.05498583065012398,"score_gpt":0.3260370921084171,"score_spread":0.2710512614582931,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162977479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92767197,0.0011792041,0.018035559,0.011052271,0.00026891768,0.00059257133,0.0000351719,0.00021983609,0.040944498],"genre_scores_gemma":[0.901226,0.000101020014,0.098190874,0.0002072296,0.000020846135,0.00003834929,0.000023323726,0.000016035825,0.00017631061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987596,0.00024762197,0.000506094,0.00014470686,0.0001428641,0.00019905607],"domain_scores_gemma":[0.99528843,0.0013918469,0.00019564237,0.003025162,0.000055562105,0.000043334363],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007282165,0.00011058596,0.0002784678,0.00031583774,0.00007994047,0.0000071972604,0.0018250718,0.00008387976,0.00033785173],"category_scores_gemma":[0.0011719868,0.00011109072,0.000063537984,0.0006235487,0.00032222498,0.000068907946,0.0008216081,0.0002399819,0.0000367305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000023894966,0.00027283904,0.0066476073,0.00002382265,0.000019718731,3.0979902e-7,0.0003199907,0.0000010081615,0.000084992374,0.9799089,0.004724049,0.007994412],"study_design_scores_gemma":[0.0006819729,0.000064456035,0.009921115,0.000032204913,0.000022473703,0.0000053016274,0.00021153121,0.000571182,0.00028657645,0.9793608,0.008724655,0.000117723896],"about_ca_topic_score_codex":0.000083113264,"about_ca_topic_score_gemma":0.0002067004,"teacher_disagreement_score":0.08015532,"about_ca_system_score_codex":0.000040427014,"about_ca_system_score_gemma":0.000026232668,"threshold_uncertainty_score":0.45301482},"labels":[],"label_agreement":null},{"id":"W2166525679","doi":"10.1016/j.disc.2011.11.027","title":"Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices","year":2011,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Enumeration; Genus; Embedding; Discrete mathematics","score_opus":0.037800835729499827,"score_gpt":0.28083531937180994,"score_spread":0.24303448364231012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166525679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98142487,0.0002704963,0.007666908,0.000017541275,0.00006007056,0.00019231241,0.00010277479,0.000018130366,0.0102468915],"genre_scores_gemma":[0.95101964,0.000043567466,0.048533723,0.0000072362595,0.000009882385,0.0000060871407,0.000016432085,0.000019632083,0.00034378745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884754,0.00003775654,0.00062093884,0.00013324885,0.0002027825,0.00015774241],"domain_scores_gemma":[0.99876535,0.00030317024,0.0005000967,0.0002846218,0.000099764366,0.000047011425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024513036,0.0001369106,0.00046610224,0.0000865759,0.000025318215,0.0000039623997,0.00014308502,0.000099688215,0.0002948007],"category_scores_gemma":[0.000325074,0.000113244045,0.00006509113,0.00025252026,0.00020841463,0.0000943651,0.00006818024,0.00007159831,0.0000041665007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007075661,0.0012235692,0.015504439,0.0046737143,0.0004032712,0.000004105035,0.022081159,4.5315008e-7,0.007835121,0.9430705,0.0035163632,0.0016165758],"study_design_scores_gemma":[0.00083297887,0.00022966755,0.0006989259,0.00021650987,0.00030931417,0.000028002227,0.0039865905,0.00025993394,0.2615529,0.7314148,0.00020927754,0.00026108508],"about_ca_topic_score_codex":0.00005522099,"about_ca_topic_score_gemma":0.0000031583406,"teacher_disagreement_score":0.25371778,"about_ca_system_score_codex":0.0000060141915,"about_ca_system_score_gemma":0.000022943897,"threshold_uncertainty_score":0.4617958},"labels":[],"label_agreement":null},{"id":"W2167343666","doi":"10.1017/s014338570000078x","title":"An invariant of minimal flows coming from the $K_0$-group of a crossed product $C^*$-algebra","year":2000,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","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":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Crossed product; Invariant (physics); Diophantine equation; Group (periodic table); Combinatorics; Product (mathematics); Generalization; Rotation number; Pure mathematics; Algebra over a field; Mathematical analysis; Geometry; Mathematical physics","score_opus":0.01421198854942074,"score_gpt":0.25712832167653354,"score_spread":0.2429163331271128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167343666","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9941298,0.0009902003,0.0036174653,0.00007985384,0.00019426028,0.00038394408,0.00008588611,0.00004041925,0.00047816825],"genre_scores_gemma":[0.9988821,0.000015965243,0.00056678726,0.000034088247,0.00017911704,0.00001748401,0.00001657642,0.000020155649,0.00026769633],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99755377,0.00093187665,0.0006814568,0.0003374693,0.00023095556,0.0002644897],"domain_scores_gemma":[0.9964285,0.0026440963,0.00022917049,0.0005554349,0.000040536972,0.00010229051],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018378387,0.0001923395,0.00058809394,0.00006203243,0.00012483425,0.00003093545,0.00035289905,0.00014478894,0.00045667338],"category_scores_gemma":[0.0005479637,0.00012219156,0.000094628194,0.00025172727,0.00046290222,0.00008272846,0.000052961997,0.00019698948,0.000007979274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008665736,0.00050819915,0.0023096658,0.00024775468,0.00018242167,0.0000131513825,0.003121107,0.000053697375,0.007555068,0.97967577,0.00011931932,0.005347272],"study_design_scores_gemma":[0.0047793896,0.0014471001,0.034444064,0.0007149066,0.0005095002,0.00021589686,0.00745726,0.028078679,0.0009469561,0.91926926,0.0011714865,0.0009655175],"about_ca_topic_score_codex":0.00042041423,"about_ca_topic_score_gemma":0.000038250848,"teacher_disagreement_score":0.06040653,"about_ca_system_score_codex":0.000015175195,"about_ca_system_score_gemma":0.000033836957,"threshold_uncertainty_score":0.50002533},"labels":[],"label_agreement":null},{"id":"W2169328670","doi":"10.4310/cag.2010.v18.n1.a5","title":"Simon’s conjecture for two-bridge knots","year":2010,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Peking University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Agence Nationale de la Recherche; National Science Foundation","keywords":"Mathematics; Conjecture; Bridge (graph theory); Mathematical economics; Combinatorics; Pure mathematics; Medicine; Surgery","score_opus":0.05352785811696397,"score_gpt":0.380169759045254,"score_spread":0.32664190092829004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169328670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97616154,0.0007738989,0.018148016,0.0026019826,0.00007850385,0.0002415562,0.000040670682,0.000043119446,0.0019107277],"genre_scores_gemma":[0.97120583,0.0001246756,0.027987223,0.00012573782,0.000032250457,0.000051948056,0.00005399684,0.000010382291,0.0004079454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991071,0.000065993685,0.00033539272,0.00020950877,0.00008289659,0.00019908164],"domain_scores_gemma":[0.996382,0.0018404683,0.00012773747,0.0015018863,0.00008284587,0.000065081724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067832624,0.000118928794,0.00037505614,0.0012679168,0.00018537343,0.00003679181,0.0005909588,0.00012351389,0.00016276205],"category_scores_gemma":[0.0011972999,0.000106295316,0.00015824474,0.0028486017,0.00020570749,0.00005043357,0.00025285047,0.00036189836,0.000005749288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010803757,0.00053118245,0.3179838,0.000052522566,0.0008978614,0.0000012307216,0.0004990116,0.00001882227,0.00037736175,0.6359983,0.0018820859,0.041747004],"study_design_scores_gemma":[0.0024352192,0.0000968131,0.45791414,0.000018353796,0.0021019855,0.000011253783,0.0007848435,0.011049553,0.00037723113,0.4895411,0.03494799,0.0007215025],"about_ca_topic_score_codex":0.00012879692,"about_ca_topic_score_gemma":0.0038341198,"teacher_disagreement_score":0.14645723,"about_ca_system_score_codex":0.000013098007,"about_ca_system_score_gemma":0.000021571765,"threshold_uncertainty_score":0.4334597},"labels":[],"label_agreement":null},{"id":"W2170544022","doi":"10.1142/s0218216500000359","title":"ON DOUBLE-TORUS KNOTS (II)","year":2000,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Fibered knot; Torus; Mathematics; Knot (papermaking); Combinatorics; Knot theory; Knot complement; Tricolorability; Trefoil knot; Pure mathematics; Geometry","score_opus":0.0363703080819276,"score_gpt":0.31249850149330116,"score_spread":0.27612819341137357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170544022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9784248,0.0007896353,0.0007317219,0.001257952,0.00016675724,0.000099132405,0.0000053273707,0.000018127948,0.018506583],"genre_scores_gemma":[0.9826811,0.0002787056,0.00033069064,0.0001832367,0.00015366198,0.0000025549525,8.00906e-7,0.000010584557,0.016358659],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991005,0.00012520266,0.0003864259,0.00009990828,0.0001433809,0.00014459073],"domain_scores_gemma":[0.99845946,0.0009492116,0.00020966593,0.00016679136,0.00010746573,0.0001073832],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008451417,0.0000994342,0.00021030089,0.00020461362,0.00023737129,0.000019107165,0.00017163476,0.00007735938,0.002536949],"category_scores_gemma":[0.0004596921,0.000074248725,0.000082598686,0.0002543741,0.000066322835,0.00011217516,0.000013738792,0.00023294654,0.00008464197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019455072,0.00025013482,0.000007023681,0.000009346835,0.00004508241,0.000004268401,0.0005382652,0.000011851581,0.0001707827,0.98245597,0.0020308373,0.014281872],"study_design_scores_gemma":[0.0011823704,0.000349597,0.0010787213,0.000044179626,0.00009482836,0.00020613417,0.00024427098,0.000025100027,0.0006653912,0.96739125,0.028587746,0.0001304255],"about_ca_topic_score_codex":3.755509e-7,"about_ca_topic_score_gemma":3.25632e-7,"teacher_disagreement_score":0.026556907,"about_ca_system_score_codex":0.000017337785,"about_ca_system_score_gemma":0.000041940144,"threshold_uncertainty_score":0.9983749},"labels":[],"label_agreement":null},{"id":"W2170629524","doi":"10.2140/agt.2011.11.1001","title":"The embedded contact homology of sutured solid tori","year":2011,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Torus; Homology (biology); Morse homology; Cellular homology; Topology (electrical circuits)","score_opus":0.05285334143304536,"score_gpt":0.3039025027253278,"score_spread":0.25104916129228244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170629524","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93682355,0.004463683,0.007167123,0.0013982286,0.0049141305,0.000911584,0.00002936521,0.00030144342,0.043990865],"genre_scores_gemma":[0.9933127,0.00027396236,0.0026131386,0.0003236243,0.0002704973,0.00006412159,0.000008054627,0.0000579626,0.003075947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99600846,0.0004719412,0.0012507299,0.0006328105,0.00039241163,0.0012436388],"domain_scores_gemma":[0.9925946,0.004796403,0.0007928951,0.0012621505,0.0003252413,0.00022872286],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013446148,0.00044877952,0.0011226381,0.0014713447,0.00035727763,0.000016966118,0.001277778,0.0005948202,0.0026922808],"category_scores_gemma":[0.0055283085,0.0003223992,0.00036667148,0.0035703778,0.0010326214,0.00011089626,0.00037150047,0.0005668399,0.0001832842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019707173,0.0004906331,0.0057414956,0.000053875567,0.00059595547,0.00008266672,0.0015327691,2.454949e-7,0.00031304389,0.9568213,0.018522743,0.01564816],"study_design_scores_gemma":[0.0026366827,0.0024377683,0.041897986,0.000015835676,0.0003652178,0.00065709586,0.002976619,0.000013516008,0.0097488025,0.9250762,0.013381411,0.00079285976],"about_ca_topic_score_codex":0.0004366428,"about_ca_topic_score_gemma":0.00011848798,"teacher_disagreement_score":0.056489114,"about_ca_system_score_codex":0.000089514804,"about_ca_system_score_gemma":0.00018399964,"threshold_uncertainty_score":0.9999228},"labels":[],"label_agreement":null},{"id":"W2171406797","doi":"10.1112/plms/pdw025","title":"Hyperbolic 4‐manifolds, colourings and mutations","year":2016,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Orbifold; Coxeter group; Geodesic; Cusp (singularity); Hyperbolic triangle; Hyperbolic manifold; Hyperbolic tree; Hyperbolic set","score_opus":0.021448773198394763,"score_gpt":0.25840996682296286,"score_spread":0.23696119362456808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171406797","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9909835,0.000055364104,0.0006049656,0.004850391,0.00003877605,0.00029358864,0.000005232079,0.000072823255,0.0030953991],"genre_scores_gemma":[0.98134995,0.000038725957,0.015631687,0.00012954857,0.00005155755,0.000027605327,7.694317e-8,0.000022856364,0.0027480023],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888575,0.0000048129,0.00035293875,0.0002076089,0.0002745934,0.0002742797],"domain_scores_gemma":[0.998707,0.0007163677,0.00023148957,0.00012141288,0.00014029178,0.00008343229],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042621826,0.0001517819,0.0003185885,0.000031273285,0.00014058613,0.000021616483,0.00030327705,0.00012424684,0.00014783717],"category_scores_gemma":[0.0013646672,0.000076492,0.00020946749,0.0002967139,0.00043970125,0.00011214179,0.00025127703,0.00011307701,0.00001840006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005268341,0.00013561081,0.002885826,0.00043532765,0.00007439825,1.1266882e-7,0.0011820417,1.3589322e-8,0.014824626,0.97347105,0.006101632,0.0008841274],"study_design_scores_gemma":[0.00053383555,0.000041280215,0.0019237542,0.00012766672,0.00008876732,0.00003760189,0.000544437,0.00003168693,0.013672303,0.9823812,0.0004905208,0.00012692658],"about_ca_topic_score_codex":0.0000020012008,"about_ca_topic_score_gemma":2.1296707e-7,"teacher_disagreement_score":0.015026722,"about_ca_system_score_codex":0.00003117372,"about_ca_system_score_gemma":0.00001576663,"threshold_uncertainty_score":0.3119253},"labels":[],"label_agreement":null},{"id":"W2193662740","doi":"10.1007/s11856-017-1445-7","title":"A cubical flat torus theorem and the bounded packing property","year":2017,"lang":"en","type":"preprint","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Torus; Abelian group; Bounded function; Cube (algebra); Combinatorics; Pure mathematics; Discrete mathematics; Geometry; Mathematical analysis","score_opus":0.07067177934581477,"score_gpt":0.33056318538600354,"score_spread":0.2598914060401888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2193662740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89799166,0.0075586727,0.050221737,0.0140312975,0.003666132,0.0020505185,0.00003273958,0.00011612758,0.024331141],"genre_scores_gemma":[0.9253646,0.0010235653,0.06936944,0.0002368039,0.0012146435,0.000019047558,0.00000133625,0.00011275103,0.0026577967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968105,0.00030066588,0.0014319665,0.0002639529,0.00078427186,0.00040862733],"domain_scores_gemma":[0.9924993,0.00260516,0.003195805,0.0010984114,0.0004270836,0.0001742476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004399458,0.00045904744,0.0016152327,0.00025369966,0.00035108923,0.00044117577,0.0013813275,0.00048091108,0.000055809483],"category_scores_gemma":[0.007721136,0.00020610736,0.00053330447,0.00008440924,0.0010403914,0.00009209937,0.0011348764,0.0017284985,0.0000117399795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019272797,0.00038163835,0.00021968024,0.001933184,0.0011679216,0.00026571093,0.008854496,0.000004709208,0.000029330844,0.97240007,0.004388894,0.010161625],"study_design_scores_gemma":[0.0019381276,0.00008927738,0.000038258546,0.00096864736,0.0006134532,0.0018925047,0.0016810604,0.0006895869,0.00008525395,0.9901547,0.0015644912,0.00028466462],"about_ca_topic_score_codex":0.000022661214,"about_ca_topic_score_gemma":0.0000129901855,"teacher_disagreement_score":0.027372982,"about_ca_system_score_codex":0.00008207061,"about_ca_system_score_gemma":0.00030146883,"threshold_uncertainty_score":0.9243479},"labels":[],"label_agreement":null},{"id":"W2203877689","doi":"10.4310/cntp.2018.v12.n1.a1","title":"Quantum modularity and complex Chern–Simons theory","year":2018,"lang":"en","type":"preprint","venue":"Communications in Number Theory and Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Root of unity; Pure mathematics; Quantum invariant; Invariant (physics); Topological quantum field theory; Formal power series; Conjecture; Categorification; Knot invariant; Quantum; Knot (papermaking); Knot theory; Power series; Mathematical physics; Mathematical analysis; Quantum mechanics; Physics","score_opus":0.12449784541363704,"score_gpt":0.38449653930797695,"score_spread":0.25999869389433994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2203877689","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7358296,0.0048398464,0.11723622,0.0021209028,0.00086474535,0.0021231873,0.0015026531,0.00049159187,0.13499126],"genre_scores_gemma":[0.9836031,0.0009813422,0.014142051,0.00017090981,0.00012363786,0.00010546898,0.00023984951,0.00004208802,0.0005915424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720395,0.0016408814,0.000407697,0.00038315335,0.00010979637,0.0002545387],"domain_scores_gemma":[0.99167997,0.0052645705,0.0002610967,0.0026132949,0.000101313824,0.00007975802],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0018462136,0.0003026713,0.0005268663,0.00006307526,0.00032683465,0.00006157093,0.0010225346,0.00033541533,0.00045918318],"category_scores_gemma":[0.00080175366,0.00030162846,0.000086489934,0.0002514669,0.0016526851,0.00006702176,0.0033029162,0.0010670424,0.000030928135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025717462,0.00028087018,0.0014764664,0.0001414386,0.00008867091,6.9575594e-7,0.002000384,0.0000011672955,0.0000027172623,0.98637545,0.001351892,0.008254532],"study_design_scores_gemma":[0.00025774207,0.000014046475,0.0025924274,0.0001219301,0.000085818756,0.0000070345477,0.0006024254,0.0010459776,0.0000060167176,0.9909188,0.004047686,0.0003000922],"about_ca_topic_score_codex":0.0000369846,"about_ca_topic_score_gemma":0.000034675006,"teacher_disagreement_score":0.24777351,"about_ca_system_score_codex":0.000036297828,"about_ca_system_score_gemma":0.00006206197,"threshold_uncertainty_score":0.99994355},"labels":[],"label_agreement":null},{"id":"W2206579737","doi":"10.1142/s1793525320500272","title":"Complexity of unknotting of trivial 2-knots","year":2019,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Unknot; Mathematics; Knot (papermaking); Combinatorics; Isotopy; Knot theory; Tricolorability; Equivalence (formal languages); Knot invariant; Discrete mathematics","score_opus":0.04792684226911594,"score_gpt":0.32371673246787036,"score_spread":0.27578989019875444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2206579737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9950529,0.00027282792,0.0032653948,0.0004558054,0.0001132877,0.00002795445,0.000004570312,0.0000021445387,0.0008051583],"genre_scores_gemma":[0.9943558,0.000041157746,0.005264556,0.000026101896,0.000046777135,1.02913205e-7,6.897903e-7,0.0000033604451,0.00026143],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882853,0.00012288206,0.0006984917,0.00008426965,0.00014242656,0.00012342056],"domain_scores_gemma":[0.9979813,0.0006084225,0.0010506054,0.00013501452,0.0001788825,0.000045794728],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007112907,0.000077989214,0.0008685782,0.0007034467,0.000025816438,0.0000022761242,0.00014212634,0.000103647246,0.00073375663],"category_scores_gemma":[0.0004708671,0.00005880291,0.00032498362,0.0006536382,0.00030999223,0.000046447738,0.000046917165,0.00015809074,0.0000014255183],"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":[0.00023156658,0.00043750447,0.7236821,0.0002369584,0.0054803086,0.000020287214,0.0009913631,0.000073876974,0.0033962815,0.26096773,0.00032964352,0.004152376],"study_design_scores_gemma":[0.0037798337,0.0016599372,0.2992141,0.00007716452,0.0073404135,0.00024645365,0.0028155642,0.0010642065,0.008626205,0.67445606,0.0003925696,0.00032752086],"about_ca_topic_score_codex":0.000032124906,"about_ca_topic_score_gemma":0.000014943455,"teacher_disagreement_score":0.42446798,"about_ca_system_score_codex":0.000007936354,"about_ca_system_score_gemma":0.000031981777,"threshold_uncertainty_score":0.803412},"labels":[],"label_agreement":null},{"id":"W2207797172","doi":"10.1142/s1793525317500236","title":"The Farrell–Jones conjecture for hyperbolic and CAT(0)-groups revisited","year":2016,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Product (mathematics); Class (philosophy); Relatively hyperbolic group; Hyperbolic manifold; Hyperbolic group","score_opus":0.018399957578196693,"score_gpt":0.2964077115013363,"score_spread":0.27800775392313964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2207797172","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9541264,0.005122306,0.021948885,0.018471267,0.00014186511,0.0000766465,0.00001025314,0.0000072814614,0.00009507805],"genre_scores_gemma":[0.99508256,0.0019529802,0.0016335648,0.00017854614,0.00018099377,0.0000019692955,4.9220085e-7,0.000006099445,0.0009627883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914414,0.00010112858,0.0003787067,0.00011629928,0.000076787685,0.00018291289],"domain_scores_gemma":[0.99702126,0.002281136,0.00037234699,0.00013413021,0.00011711041,0.00007403864],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006744642,0.00010252928,0.00048394408,0.00029964783,0.00021264734,0.00001772739,0.00012504864,0.00012091482,0.00007572721],"category_scores_gemma":[0.0010397163,0.000045563436,0.00020325859,0.0003181158,0.00030695368,0.00004705382,0.00003430384,0.000084678824,8.1765967e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003697755,0.00013611287,0.117420614,0.000100728204,0.008672604,0.000047105517,0.00089506997,0.000002184759,0.0014848509,0.76186794,0.00895362,0.10004936],"study_design_scores_gemma":[0.0023800933,0.0006641496,0.025886437,0.00003832854,0.0057559973,0.0007675726,0.0011471576,0.000109143984,0.00038364663,0.9336407,0.028951926,0.0002748047],"about_ca_topic_score_codex":0.000004743372,"about_ca_topic_score_gemma":0.00002729229,"teacher_disagreement_score":0.17177278,"about_ca_system_score_codex":0.000010025696,"about_ca_system_score_gemma":0.000020383126,"threshold_uncertainty_score":0.1858023},"labels":[],"label_agreement":null},{"id":"W2211936080","doi":"10.1090/tran/8623","title":"Logspace and compressed-word computations in nilpotent groups","year":2022,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Champlain Regional College; Concordia University; McGill University","funders":"","keywords":"Mathematics; Conjugacy problem; Nilpotent; Word (group theory); Computation; Logarithm; Conjugacy class; Word problem (mathematics education); Polynomial; Space (punctuation); Algebra over a field; Discrete mathematics; Pure mathematics; Arithmetic; Algorithm; Mathematical analysis; Computer science; Geometry","score_opus":0.02337698459868491,"score_gpt":0.28226394609704075,"score_spread":0.2588869614983558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2211936080","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71997803,0.00004303737,0.2759241,0.0033385635,0.00005426936,0.00029849063,0.000025764988,0.000042737734,0.0002950198],"genre_scores_gemma":[0.9706992,0.00001354205,0.028776899,0.00019449047,0.0000074130794,0.000053915304,6.9997645e-7,0.000014713729,0.00023912839],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988622,0.00016032842,0.0003304995,0.00016986836,0.0002701513,0.00020695654],"domain_scores_gemma":[0.99841374,0.0010293812,0.00020216356,0.0002808091,0.000023317816,0.000050585575],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032710898,0.00011604992,0.00037155332,0.00005676196,0.0002860277,0.000009046541,0.00026554527,0.00002243088,0.00030213586],"category_scores_gemma":[0.00005959742,0.0000907915,0.00022233516,0.00092479365,0.00063814095,0.000031634332,0.00007161569,0.00035332332,0.000002145169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001908603,0.010218434,0.006426882,0.0016546114,0.001292762,0.000010382041,0.05004684,0.030997908,0.0019081469,0.854265,0.010186105,0.032802105],"study_design_scores_gemma":[0.0010714929,0.00025078026,0.0102532795,0.00003586784,0.0001958271,0.00009542523,0.023864089,0.026033275,0.00012811917,0.9373028,0.0004481644,0.00032085698],"about_ca_topic_score_codex":0.000086178734,"about_ca_topic_score_gemma":0.000007218088,"teacher_disagreement_score":0.25072116,"about_ca_system_score_codex":0.00006400124,"about_ca_system_score_gemma":0.000028880017,"threshold_uncertainty_score":0.37023702},"labels":[],"label_agreement":null},{"id":"W2213792970","doi":"10.1142/s0129167x19500472","title":"Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology","year":2019,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Cohomology; Euclidean geometry; Graph; Pure mathematics; Discrete mathematics; Algebra over a field; Combinatorics; Geometry","score_opus":0.03356995636210954,"score_gpt":0.3368068004080203,"score_spread":0.3032368440459108,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2213792970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8756835,0.002828446,0.09114998,0.01089355,0.010376899,0.0006206936,0.00022236985,0.00008329887,0.008141286],"genre_scores_gemma":[0.9357511,0.0013911101,0.05567472,0.00064750854,0.00116002,0.000015058967,0.000032786458,0.00011124803,0.0052164732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964547,0.00017858983,0.0017511396,0.00035434496,0.00088525185,0.00037598054],"domain_scores_gemma":[0.99337953,0.0024630353,0.0026113612,0.0004602177,0.0009231411,0.00016272007],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010441913,0.00045502168,0.0013184176,0.00070619455,0.00004476313,0.00010726213,0.0014348015,0.00072338735,0.00069119764],"category_scores_gemma":[0.0023900645,0.00038360688,0.00038069088,0.00010766918,0.00031992322,0.00011545978,0.0010097341,0.0013594476,0.00006462129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025460563,0.0040348275,0.007819947,0.0026050392,0.009005183,0.0012604664,0.005335108,0.00024407763,0.0009718223,0.64786017,0.31140393,0.00920483],"study_design_scores_gemma":[0.0016947614,0.00037694076,0.00019256125,0.0006843139,0.0004255718,0.005055926,0.0012801047,0.00065932964,0.0007817359,0.9761214,0.012167871,0.0005594715],"about_ca_topic_score_codex":0.000017182447,"about_ca_topic_score_gemma":0.000008898939,"teacher_disagreement_score":0.32826126,"about_ca_system_score_codex":0.00019395677,"about_ca_system_score_gemma":0.00032769787,"threshold_uncertainty_score":0.9998616},"labels":[],"label_agreement":null},{"id":"W2224000622","doi":"10.5539/jmr.v8n1p5","title":"Attacks on the Faithfulness of the Burau Representation of the Braid Group $B_4$","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric and Algebraic Topology","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":"Braid group; Mathematics; Combinatorics; Representation (politics); Kernel (algebra); Group (periodic table); Discrete mathematics","score_opus":0.23764797672652002,"score_gpt":0.43602506121184786,"score_spread":0.19837708448532784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2224000622","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97830117,0.00005893318,0.0037709582,0.013663645,0.0002837233,0.00046118716,0.000008319479,0.0000044442286,0.0034475967],"genre_scores_gemma":[0.99683255,0.000038449358,0.00085775973,0.000034179666,0.00012445454,0.000008088434,5.559863e-8,0.000021909238,0.0020825835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957134,0.00088399876,0.0009895338,0.00012345317,0.00197741,0.00031216472],"domain_scores_gemma":[0.9854877,0.011496212,0.0011679376,0.0009792807,0.0008109813,0.000057890455],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0058159246,0.00012850355,0.00043066265,0.00027341963,0.00019891968,0.000023431034,0.001541788,0.00010995734,0.00033220556],"category_scores_gemma":[0.014345167,0.00004264017,0.00034510097,0.0011103463,0.00071004016,0.000088643406,0.000376513,0.00059592753,0.0000134502225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013470603,0.0015053911,0.0037320654,0.0006684128,0.00041402405,0.000008967589,0.0050855,0.000010128635,0.035158865,0.91293,0.03347685,0.006875096],"study_design_scores_gemma":[0.0009102187,0.00035216837,0.0054195374,0.0009677626,0.000064351065,0.00011991888,0.00480625,0.000066609195,0.10168367,0.88490325,0.0006086209,0.00009762274],"about_ca_topic_score_codex":0.0000110636265,"about_ca_topic_score_gemma":0.000009173621,"teacher_disagreement_score":0.0665248,"about_ca_system_score_codex":0.00007335342,"about_ca_system_score_gemma":0.00014660136,"threshold_uncertainty_score":0.9939574},"labels":[],"label_agreement":null},{"id":"W2237729787","doi":"10.1007/978-1-4613-0163-9_15","title":"The Rank Polynomial","year":2001,"lang":"en","type":"book-chapter","venue":"Graduate texts in mathematics","topic":"Geometric and Algebraic Topology","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":"Rank (graph theory); Polynomial; Mathematics; Graph; Tutte polynomial; Construct (python library); Combinatorics; Computer science; Discrete mathematics; Voltage graph; Line graph; Programming language","score_opus":0.08751834680128912,"score_gpt":0.3034239058273054,"score_spread":0.21590555902601627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2237729787","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00070119865,0.0009472013,0.000994042,0.0012664765,0.0008995535,0.00091675256,0.000027361128,0.00019081941,0.9940566],"genre_scores_gemma":[0.0034935,0.0017043557,0.0058177686,0.00010216627,0.0005670884,0.000043620326,0.000013847545,0.00023579354,0.98802185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967283,0.000049321716,0.0013121682,0.00047096165,0.0007117705,0.0007275],"domain_scores_gemma":[0.99490845,0.0028841652,0.00074531743,0.0012315408,0.00010710514,0.00012339781],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012433092,0.00067155674,0.0010480535,0.00044850097,0.00025563786,0.00009076563,0.00092348276,0.0006000537,0.00067659415],"category_scores_gemma":[0.00095824036,0.000471836,0.00034443702,0.0001859195,0.000458253,0.000049054033,0.00027947265,0.0011347423,0.00087493384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011195586,0.00007738379,0.0000030073581,0.00017461869,0.000103082035,0.0001143833,0.0004577716,7.0454456e-7,6.94398e-7,0.9236291,0.06425602,0.011172035],"study_design_scores_gemma":[0.00046149796,0.000045225413,0.00000619181,0.00021403111,0.00010494498,0.0001496031,0.000098052624,0.00007582904,0.000005137493,0.8427615,0.15564418,0.00043379157],"about_ca_topic_score_codex":0.000008866894,"about_ca_topic_score_gemma":0.00007064501,"teacher_disagreement_score":0.09138815,"about_ca_system_score_codex":0.00016141012,"about_ca_system_score_gemma":0.00011477963,"threshold_uncertainty_score":0.999903},"labels":[],"label_agreement":null},{"id":"W2248024583","doi":"10.4153/cmb-2016-023-6","title":"Testing Bi-orderability of Knot Groups","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"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 Waterloo; University of Manitoba","funders":"","keywords":"Knot (papermaking); Knot invariant; Trefoil knot; Tricolorability; Knot theory","score_opus":0.0474376238705825,"score_gpt":0.26526048395570423,"score_spread":0.21782286008512172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2248024583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9174951,0.000050467785,0.011124119,0.012659245,0.000117593554,0.000413879,0.000047488233,0.00010913656,0.057982985],"genre_scores_gemma":[0.98233396,0.0000010947045,0.015309027,0.0002034793,0.000066947876,0.00001965937,6.985951e-7,0.00002900361,0.002036116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830395,0.0000908299,0.0005642093,0.00028370207,0.00020706958,0.0005502652],"domain_scores_gemma":[0.9949132,0.0038215641,0.00013916675,0.000498634,0.00015191748,0.00047551005],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00072561915,0.00018357029,0.00044473438,0.00023721739,0.00008017217,0.0000112896705,0.0002962994,0.00015480244,0.02431643],"category_scores_gemma":[0.015989937,0.00012295824,0.00010036506,0.00038136108,0.0003150559,0.000021822,0.000054650536,0.00011765084,0.003143118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006042708,0.00013503562,0.0019474475,0.00031159815,0.000036487345,0.00002540396,0.0001588179,1.02194285e-7,0.0004986371,0.9660823,0.016342144,0.014456015],"study_design_scores_gemma":[0.00039818155,0.00008480816,0.0018405495,0.00015030024,0.000028428602,0.000041607767,0.00009425744,0.000010372109,0.0004131083,0.98651236,0.010207267,0.00021877812],"about_ca_topic_score_codex":0.0005164562,"about_ca_topic_score_gemma":0.00046145826,"teacher_disagreement_score":0.064838886,"about_ca_system_score_codex":0.00012043726,"about_ca_system_score_gemma":0.00019611788,"threshold_uncertainty_score":0.99763304},"labels":[],"label_agreement":null},{"id":"W2249222310","doi":"10.1215/00127094-3450752","title":"Cubulating hyperbolic free-by-cyclic groups: The irreducible case","year":2016,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Torus; Graph; Irreducible representation; Free group; Combinatorics; Hyperbolic group; Cyclic group; Pure mathematics; Word (group theory); Group (periodic table); Hyperbolic manifold; Geometry; Hyperbolic function","score_opus":0.04071706987014746,"score_gpt":0.3008543147944617,"score_spread":0.2601372449243142,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249222310","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8872855,0.0003395459,0.09181684,0.009332323,0.000383621,0.00027700362,0.000017988485,0.00012442033,0.010422777],"genre_scores_gemma":[0.98749995,0.000027741286,0.0086972,0.00026769307,0.00061856065,0.000018827668,3.9793574e-7,0.000056995137,0.0028126035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997442,0.00023306989,0.0008468034,0.00027237178,0.0005078562,0.00069791655],"domain_scores_gemma":[0.9948581,0.0036154033,0.00036173355,0.0007525066,0.00009990101,0.0003123476],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015385903,0.00028610695,0.0004894289,0.00016539881,0.00051997043,0.00013379124,0.0006804912,0.00015819065,0.0026569774],"category_scores_gemma":[0.0053544138,0.0001313681,0.00024485966,0.0003863368,0.0002985142,0.00018819001,0.00024091391,0.0004891249,0.00040840718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019686831,0.0004907902,0.00021654411,0.00010225812,0.00020747591,0.0017591353,0.0013373413,5.009259e-7,0.0027126297,0.87842184,0.0929312,0.02180061],"study_design_scores_gemma":[0.0009772349,0.000084037325,0.00002890503,0.00012173615,0.00009522974,0.0545898,0.00079924334,0.00006510485,0.0005757678,0.9395678,0.002862323,0.00023281766],"about_ca_topic_score_codex":0.0000049107302,"about_ca_topic_score_gemma":0.0000022931624,"teacher_disagreement_score":0.1002145,"about_ca_system_score_codex":0.00008084154,"about_ca_system_score_gemma":0.000050839782,"threshold_uncertainty_score":0.9982547},"labels":[],"label_agreement":null},{"id":"W2253326806","doi":"10.1016/j.disc.2016.11.032","title":"The coarse geometry of Hartnell’s firefighter problem on infinite graphs","year":2017,"lang":"en","type":"preprint","venue":"Discrete Mathematics","topic":"Geometric and Algebraic Topology","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; Combinatorics; Containment (computer programming); Square tiling; Bounded function; Conjecture; Converse; Euclidean geometry; Discrete mathematics; Property (philosophy); Constant (computer programming); Euclidean space; Grid; Geometry; Computer science; Mathematical analysis","score_opus":0.058459638982851954,"score_gpt":0.3302508096630953,"score_spread":0.27179117068024333,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2253326806","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70208883,0.0024097774,0.013739725,0.0053672986,0.0044385516,0.006837794,0.0013314077,0.00075986277,0.26302677],"genre_scores_gemma":[0.9140286,0.00096061005,0.06373065,0.00017958281,0.00037098388,0.0004102283,0.00012603834,0.0003298329,0.019863496],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963279,0.00013717129,0.0014057183,0.00059264293,0.00086087215,0.0006757008],"domain_scores_gemma":[0.99120826,0.0027861947,0.0023447832,0.0032471518,0.00025990963,0.00015371483],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014207409,0.0006998232,0.0013070971,0.00046179144,0.00049664476,0.00023656384,0.0019655158,0.00065583497,0.0001853689],"category_scores_gemma":[0.0023787296,0.0004403466,0.0006520893,0.0002664154,0.00074569957,0.00006445122,0.0014192603,0.0011980715,0.00012802529],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003649886,0.00042153316,0.0001690975,0.003234567,0.00061694783,0.000025219695,0.0023899358,0.000023881965,0.0000150263395,0.9735175,0.016432472,0.0031173555],"study_design_scores_gemma":[0.00042661699,0.00014161009,0.0000959474,0.00091724546,0.0002762123,0.000016324819,0.00038971633,0.0006353417,0.0003849678,0.99170613,0.0045059426,0.00050392246],"about_ca_topic_score_codex":0.000022933635,"about_ca_topic_score_gemma":0.000017227476,"teacher_disagreement_score":0.24316327,"about_ca_system_score_codex":0.000051936233,"about_ca_system_score_gemma":0.00014801952,"threshold_uncertainty_score":0.99980485},"labels":[],"label_agreement":null},{"id":"W2261269916","doi":"10.1142/s0218196715500253","title":"Packing subgroups in solvable groups","year":2015,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"McGill University","keywords":"Mathematics; Bounded function; Combinatorics; Solvable group; Group (periodic table); Finitely-generated abelian group; Property (philosophy); Nilpotent; Nilpotent group; Finitely generated group; Mathematical analysis","score_opus":0.05845439335433538,"score_gpt":0.33767210811704346,"score_spread":0.27921771476270807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2261269916","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9466741,0.0002093098,0.050584156,0.0009891072,0.0007338687,0.000036840516,6.6935814e-7,0.00000852431,0.00076340383],"genre_scores_gemma":[0.99341714,0.000021075892,0.006191524,0.00009516018,0.00023154117,6.70351e-7,0.0000020455598,0.000006756065,0.00003407435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990337,0.00005138105,0.0003975012,0.00007845746,0.0003396413,0.00009933847],"domain_scores_gemma":[0.99902153,0.00024119203,0.00028522394,0.000032192194,0.0003484323,0.00007144483],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005553185,0.0000712493,0.00016180823,0.0004010001,0.000015191909,0.00004616462,0.00013941695,0.00004549934,0.000016136553],"category_scores_gemma":[0.00037471196,0.00006252654,0.000039203034,0.00015465383,0.000031138447,0.0002470738,0.00004189149,0.00013257015,0.0000041953554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048990763,0.0007383744,0.09449204,0.000044504668,0.00037862407,0.00064282684,0.008226662,0.0018384195,0.00027585722,0.74854094,0.006896479,0.13743536],"study_design_scores_gemma":[0.0018218752,0.00018174645,0.014632855,0.00005616443,0.000014442215,0.000528081,0.0013611085,0.0024116088,0.000106119165,0.9784877,0.00030129397,0.00009702063],"about_ca_topic_score_codex":0.000015521438,"about_ca_topic_score_gemma":0.000011211775,"teacher_disagreement_score":0.22994675,"about_ca_system_score_codex":0.000067217814,"about_ca_system_score_gemma":0.000056920733,"threshold_uncertainty_score":0.25497583},"labels":[],"label_agreement":null},{"id":"W2266015244","doi":"10.1017/9781316576571.013","title":"Thompson's Group <i>F</i> is Not Liouville","year":2017,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Geometric and Algebraic Topology","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":"Group (periodic table); Mathematics; Psychology; Physics; Quantum mechanics","score_opus":0.05131337509471005,"score_gpt":0.24162882844535516,"score_spread":0.19031545335064512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2266015244","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00013232208,0.00012406566,0.00050923025,0.00012445076,0.00056923076,0.00042094933,0.00044406616,0.00021316203,0.9974625],"genre_scores_gemma":[0.0020734554,0.00014298513,0.0005995219,0.00029937772,0.0003279795,8.9116526e-7,0.000027141665,0.00009106193,0.9964376],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9981082,0.00003785446,0.00026220607,0.000726186,0.00039118418,0.00047435513],"domain_scores_gemma":[0.9972354,0.00027096464,0.000604995,0.0014880693,0.0001568103,0.00024377325],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017299093,0.00055305834,0.0008291329,0.00036556047,0.00048725176,0.000069972804,0.0012057157,0.00077699835,0.0000943851],"category_scores_gemma":[0.00007309375,0.0006153246,0.00045456056,0.000007704523,0.0005046883,0.00009555476,0.0008468911,0.0007289258,0.0001054978],"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":[0.00004407992,0.000013728203,9.5038223e-7,0.00010691179,0.0001738177,0.00032144846,0.000047673904,1.8514898e-8,0.000007561306,0.75562865,0.24220563,0.0014495247],"study_design_scores_gemma":[0.0008079427,0.000077144905,0.000007989037,0.00013512252,0.00039622572,0.00004245778,0.000031218187,0.000005208737,0.00018911637,0.0015674309,0.99611026,0.0006298919],"about_ca_topic_score_codex":0.000101594414,"about_ca_topic_score_gemma":0.000004336356,"teacher_disagreement_score":0.7540612,"about_ca_system_score_codex":0.00014125674,"about_ca_system_score_gemma":0.00009216613,"threshold_uncertainty_score":0.9996298},"labels":[],"label_agreement":null},{"id":"W2273072947","doi":"10.1142/s0219199717500420","title":"On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus","year":2017,"lang":"en","type":"preprint","venue":"Communications in Contemporary Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"National Science Foundation","keywords":"Torus; Mathematical proof; Mathematics; Norm (philosophy); Pure mathematics; Hamiltonian system; Hamiltonian (control theory); Algebra over a field; Mathematical analysis; Geometry; Philosophy","score_opus":0.24502927369896288,"score_gpt":0.36048379777318107,"score_spread":0.11545452407421819,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2273072947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68464273,0.0030666958,0.0019517705,0.06406563,0.0013708029,0.0074012512,0.00054840784,0.00014871523,0.23680396],"genre_scores_gemma":[0.9946469,0.00020323605,0.0034072145,0.00025729398,0.000028107359,0.00031095077,0.000016433274,0.000055775425,0.0010740728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996761,0.00077719183,0.0014181813,0.00029449473,0.0004986829,0.0002504549],"domain_scores_gemma":[0.9702179,0.013830343,0.0026335688,0.013113048,0.00016603712,0.000039112932],"candidate_categories":["open_science"],"consensus_categories":[],"category_scores_codex":[0.0025148108,0.00041822842,0.00093511684,0.00023126461,0.00051851396,0.000056459416,0.0087517,0.00037227082,0.0000704698],"category_scores_gemma":[0.0055326764,0.00021252414,0.0004058381,0.00031236722,0.0017616606,0.00004094894,0.004040225,0.0017067698,0.00001602297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010095323,0.0010905608,0.00025395097,0.0003005962,0.0001470308,0.0000011507383,0.0035836129,0.0000131838515,0.000020400823,0.989282,0.0049801255,0.00031728824],"study_design_scores_gemma":[0.00034573645,0.00009735149,0.001264433,0.0016134979,0.00007729048,0.000005930359,0.0012758975,0.0017289174,0.00027871577,0.9913419,0.001716213,0.00025410543],"about_ca_topic_score_codex":0.00016527968,"about_ca_topic_score_gemma":0.00016446841,"teacher_disagreement_score":0.31000414,"about_ca_system_score_codex":0.00011653518,"about_ca_system_score_gemma":0.00032523062,"threshold_uncertainty_score":0.9966114},"labels":[],"label_agreement":null},{"id":"W2285424051","doi":"10.1017/s0305004118000440","title":"Growth of quasiconvex subgroups","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Quasiconvex function; Exponential growth; Group (periodic table); Class (philosophy); Work (physics)","score_opus":0.03673943761262972,"score_gpt":0.27785584993218215,"score_spread":0.24111641231955244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2285424051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9479962,0.00003086624,0.0013513949,0.013239535,0.00015553189,0.00048236793,0.000016992597,0.00009940037,0.036627732],"genre_scores_gemma":[0.98939043,0.000005202554,0.00943083,0.00036392626,0.00044906783,0.000015670385,4.4493947e-7,0.000039677492,0.0003047421],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975978,0.000018638242,0.0008905285,0.00034980057,0.0007102011,0.0004330259],"domain_scores_gemma":[0.9976371,0.0006693061,0.0005616202,0.00029429156,0.00069092185,0.00014675455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095017446,0.000277719,0.0007569113,0.000056770597,0.00015352994,0.00001700747,0.0009117516,0.00030105223,0.00015245625],"category_scores_gemma":[0.0025085092,0.0001787252,0.0007089653,0.0009126449,0.0020021752,0.00011319706,0.00049570994,0.00040465716,0.000032987184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021412961,0.00039656865,0.0008385003,0.0009002501,0.000107135354,1.3666077e-7,0.00043710208,6.634229e-9,0.00392804,0.98459166,0.0087329615,0.00004621175],"study_design_scores_gemma":[0.00046391285,0.00021372213,0.00080293586,0.00013266405,0.00013006959,0.000023673763,0.0002006598,0.00022428368,0.028294355,0.9692704,0.000054474698,0.00018884045],"about_ca_topic_score_codex":0.00000429394,"about_ca_topic_score_gemma":6.959218e-8,"teacher_disagreement_score":0.041394256,"about_ca_system_score_codex":0.00004551644,"about_ca_system_score_gemma":0.000034161883,"threshold_uncertainty_score":0.7377098},"labels":[],"label_agreement":null},{"id":"W2286652117","doi":"10.1090/conm/662/13316","title":"Lagrangian inclusion with an open Whitney umbrella is rationally convex","year":2016,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada; Western University","funders":"","keywords":"Mathematics; Lagrangian; Regular polygon; Inclusion (mineral); Pure mathematics; Geometry; Geology","score_opus":0.05237881885845187,"score_gpt":0.3371964841029428,"score_spread":0.2848176652444909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2286652117","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0003616094,0.00034283198,0.1418197,0.0031484044,0.00014436193,0.00340608,0.00048132616,0.0009646586,0.849331],"genre_scores_gemma":[0.005035759,0.00015050304,0.32387617,0.002699859,0.0005646037,0.00036192278,0.00016483851,0.0018493574,0.665297],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9941938,0.0003029448,0.001566288,0.0013958466,0.0015447406,0.0009963787],"domain_scores_gemma":[0.9925283,0.0018028561,0.0023894391,0.0022781678,0.00026253366,0.000738711],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0014613285,0.0013649696,0.0031142172,0.00031343504,0.0005240384,0.00028779102,0.0028556231,0.0007436392,0.017194374],"category_scores_gemma":[0.00044511183,0.0009158801,0.0005388939,0.00089887035,0.0019643784,0.00035117593,0.0026243683,0.00070944784,0.0011384621],"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":[0.000048757425,0.0015169269,0.000025062713,0.0016339548,0.00094119087,0.00003378613,0.0043567857,4.6317947e-8,0.000041067677,0.21699348,0.7733094,0.0010995545],"study_design_scores_gemma":[0.0027095668,0.0011329554,0.0000050674503,0.002308677,0.00043149802,0.000108712484,0.0032999974,0.0003790519,0.00007448533,0.72205323,0.26534626,0.0021504695],"about_ca_topic_score_codex":0.00013335834,"about_ca_topic_score_gemma":0.000034588662,"teacher_disagreement_score":0.5079631,"about_ca_system_score_codex":0.00018206415,"about_ca_system_score_gemma":0.00076544494,"threshold_uncertainty_score":0.9999101},"labels":[],"label_agreement":null},{"id":"W2287429944","doi":"10.1007/s10801-016-0667-9","title":"Geodesic growth of right-angled Coxeter groups based on trees","year":2016,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Geometric and Algebraic Topology","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":"Division of Mathematical Sciences; Université de Genève; Université de Fribourg; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Combinatorics; Coxeter group; Mathematics; Geodesic; Tree (set theory); Cardinality (data modeling); Geometry; Computer science","score_opus":0.020120830466232767,"score_gpt":0.2591981139847355,"score_spread":0.23907728351850277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2287429944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98358357,0.00014865948,0.010027151,0.0024958171,0.0013385749,0.00017268615,0.000008691475,0.00003780539,0.0021870707],"genre_scores_gemma":[0.99799377,0.00003248033,0.0010163045,0.00021406909,0.00014737758,0.0000028305928,5.0037573e-7,0.000039847007,0.000552794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997313,0.00020387779,0.0010815125,0.00020907471,0.00080434984,0.0003881726],"domain_scores_gemma":[0.99457145,0.0029816283,0.0012294287,0.00041608882,0.0005872015,0.00021417919],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010288341,0.00028081602,0.00080875907,0.0008429011,0.00007069956,0.000016929707,0.0005702637,0.00017171293,0.0005749012],"category_scores_gemma":[0.0022960906,0.000168785,0.00040906074,0.0007911778,0.00017033468,0.0001730029,0.00006204399,0.00030379614,0.000023411583],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030017577,0.0017120428,0.00846388,0.00013826747,0.00024144266,0.00018387147,0.00018672616,0.0000018735788,0.0014756549,0.97257334,0.012585274,0.0021374447],"study_design_scores_gemma":[0.0049842154,0.0021555142,0.009679199,0.00023654035,0.00016641035,0.00009339771,0.000044050335,0.000037631457,0.00774008,0.9738997,0.0006811072,0.0002821149],"about_ca_topic_score_codex":0.0000033617248,"about_ca_topic_score_gemma":0.0000018430803,"teacher_disagreement_score":0.014410253,"about_ca_system_score_codex":0.00015500905,"about_ca_system_score_gemma":0.00017245255,"threshold_uncertainty_score":0.68828523},"labels":[],"label_agreement":null},{"id":"W2293047492","doi":"10.2140/gt.2023.27.2181","title":"Filtering the Heegaard Floer contact invariant","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Floer homology; Mathematics; Invariant (physics); Pure mathematics; Combinatorics; Mathematical analysis; Mathematical physics; Symplectic geometry","score_opus":0.05890568846348711,"score_gpt":0.31638885105091014,"score_spread":0.25748316258742304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2293047492","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97114974,0.00031045018,0.0028593035,0.011816462,0.0026851173,0.000412113,0.000024334795,0.0005403879,0.0102021145],"genre_scores_gemma":[0.991889,0.000061174724,0.000662296,0.001006219,0.0004648938,0.000045604105,0.00001534091,0.000039377188,0.0058160694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796766,0.0001906235,0.00042793519,0.00038794213,0.00022414743,0.00080167386],"domain_scores_gemma":[0.9964325,0.0025721837,0.00014206958,0.0006916432,0.000057560275,0.00010408831],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00095385045,0.00023215714,0.00045110047,0.0006550313,0.0002855167,0.00003507269,0.00057198823,0.00023091493,0.0033609287],"category_scores_gemma":[0.0021424321,0.00016168889,0.00015356277,0.0021343182,0.00022866514,0.000070074406,0.00041895037,0.00039569166,0.0017666528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051004594,0.000120182456,0.008069273,0.00009991004,0.00034467163,0.00034389412,0.0011180288,0.000020408086,0.0015519562,0.8715285,0.10547475,0.011277449],"study_design_scores_gemma":[0.0020816554,0.00064329006,0.07615587,0.00003677961,0.00020027815,0.00082970486,0.003418987,0.00043795822,0.002497801,0.6076025,0.3051125,0.0009826523],"about_ca_topic_score_codex":0.00015924817,"about_ca_topic_score_gemma":0.000043386488,"teacher_disagreement_score":0.26392597,"about_ca_system_score_codex":0.00004356417,"about_ca_system_score_gemma":0.00005117264,"threshold_uncertainty_score":0.99901056},"labels":[],"label_agreement":null},{"id":"W2296706642","doi":"10.20382/jocg.v5i1a4","title":"Hyperbolic Delaunay complexes and Voronoi diagrams made practical","year":2013,"lang":"en","type":"article","venue":"Journal of Computational Geometry (Carleton University)","topic":"Geometric and Algebraic Topology","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":"Agence Nationale de la Recherche; Institut national de recherche en informatique et en automatique (INRIA)","keywords":"Voronoi diagram; Delaunay triangulation; Bowyer–Watson algorithm; Computer science; Geology; Geometry; Mathematics; Algorithm","score_opus":0.02859963742090648,"score_gpt":0.26730071844677533,"score_spread":0.23870108102586884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2296706642","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9181284,0.00011316589,0.077424735,0.0023595756,0.00016749809,0.00011335946,0.0000042168517,0.000021445303,0.001667629],"genre_scores_gemma":[0.9450375,0.000040844505,0.05357477,0.00017871519,0.00014952858,1.8411428e-7,0.0000030040437,0.00001296983,0.0010025045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872017,0.000130454,0.00036770946,0.00015405557,0.00039185953,0.00023575136],"domain_scores_gemma":[0.99700046,0.001764209,0.0004394341,0.000097350916,0.00045891586,0.00023965033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025827115,0.00015364321,0.00037732013,0.0010472963,0.00012427426,0.00005601335,0.00020136547,0.00010905193,0.0005082666],"category_scores_gemma":[0.00050834904,0.0001419213,0.00013217254,0.0008555739,0.000187788,0.00048471717,0.00011079814,0.00032966438,0.00003610947],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017612058,0.0010087495,0.02790563,0.0001545665,0.0009587336,0.0005564913,0.00061871647,0.0021008092,0.00057958474,0.91093266,0.028409222,0.0265987],"study_design_scores_gemma":[0.005049344,0.0011438127,0.227843,0.00009539257,0.00048644346,0.0034147096,0.0037463806,0.0037126727,0.00019599631,0.7123383,0.041166745,0.0008071609],"about_ca_topic_score_codex":0.000023783856,"about_ca_topic_score_gemma":0.000002147499,"teacher_disagreement_score":0.19993737,"about_ca_system_score_codex":0.00008223005,"about_ca_system_score_gemma":0.00012543026,"threshold_uncertainty_score":0.5787383},"labels":[],"label_agreement":null},{"id":"W2312309446","doi":"10.4153/cjm-2004-046-9","title":"Non-Orientable Surfaces and Dehn Surgeries","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Dehn surgery; Mathematics; Knot (papermaking); Combinatorics; Intersection (aeronautics); Euler characteristic; Euler's formula; Surface (topology); Pure mathematics; Geometry; Mathematical analysis","score_opus":0.025259209292491803,"score_gpt":0.251199202902877,"score_spread":0.2259399936103852,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2312309446","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932475,0.0005716971,0.0034596696,0.00071192725,0.00031322014,0.000077980614,0.000006846266,0.000006786574,0.0016043823],"genre_scores_gemma":[0.9637747,0.000041478892,0.03563657,0.000066215944,0.000073787975,8.542299e-7,4.128308e-7,0.000020606041,0.0003853698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989537,0.000013072648,0.00047425076,0.000081715945,0.00015817201,0.00031909],"domain_scores_gemma":[0.99864054,0.00027185387,0.0003072228,0.0001539591,0.00015313222,0.00047330404],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005670778,0.0001324178,0.0003861202,0.00034105603,0.00013097032,0.000056091787,0.0001715243,0.000084101695,0.00014352915],"category_scores_gemma":[0.0008295676,0.00010939223,0.00007084478,0.000268743,0.00017621783,0.00013783443,0.000014936361,0.00017168488,0.0000121109015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013058463,0.0003268136,0.02931436,0.0011164449,0.00046795423,0.0014971098,0.024038853,0.0001734499,0.0001976322,0.9191038,0.021645911,0.0021045827],"study_design_scores_gemma":[0.0009775335,0.00021191662,0.00160757,0.00026319915,0.00012025356,0.002355886,0.0071188267,0.000023029836,0.0013216232,0.9791,0.0065993518,0.00030082054],"about_ca_topic_score_codex":0.00074689,"about_ca_topic_score_gemma":0.005525691,"teacher_disagreement_score":0.059996158,"about_ca_system_score_codex":0.000083723695,"about_ca_system_score_gemma":0.0007172163,"threshold_uncertainty_score":0.44608858},"labels":[],"label_agreement":null},{"id":"W2314178742","doi":"10.4153/cmb-2003-032-x","title":"Second Order Dehn Functions of Asynchronously Automatic Groups","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Dehn surgery; Order (exchange); Pure mathematics; Combinatorics; Algebra over a field; Knot (papermaking)","score_opus":0.017397379958608284,"score_gpt":0.23753358580116288,"score_spread":0.22013620584255458,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2314178742","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66072875,0.00018037419,0.030936638,0.0022568144,0.0003150257,0.0007082909,0.00005916563,0.00015410103,0.30466086],"genre_scores_gemma":[0.96409893,0.0000017108587,0.022359647,0.00040492316,0.000042348995,0.00004712939,0.0000058096507,0.00005099649,0.012988491],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810725,0.00013460683,0.00063299935,0.00027978834,0.00022309939,0.0006222347],"domain_scores_gemma":[0.9975779,0.0010475868,0.00015488555,0.0005235529,0.00014012193,0.00055595656],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00058810215,0.00023901512,0.0005337088,0.00039251367,0.00014284076,0.000024749823,0.00023770634,0.00020707797,0.21939765],"category_scores_gemma":[0.004118179,0.00021819686,0.00013295923,0.0006121353,0.00022561669,0.00002730149,0.000023491239,0.00023738228,0.0076743467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001328281,0.00014534117,0.000098313845,0.00038454143,0.000078099554,0.000026158355,0.0002946684,0.0000012187649,0.000018232624,0.9353822,0.06284821,0.00072170986],"study_design_scores_gemma":[0.00074493256,0.00014926525,0.0002890433,0.00009771527,0.00012924803,0.00026566422,0.0010402096,0.00016056585,0.00019753889,0.87406,0.122394755,0.0004710753],"about_ca_topic_score_codex":0.00015024705,"about_ca_topic_score_gemma":0.0016894521,"teacher_disagreement_score":0.3033702,"about_ca_system_score_codex":0.0001389468,"about_ca_system_score_gemma":0.00042136203,"threshold_uncertainty_score":0.9930983},"labels":[],"label_agreement":null},{"id":"W2317754099","doi":"10.4153/cmb-2003-026-2","title":"Reducing Spheres and Klein Bottles after Dehn Fillings","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Klein bottle; Mathematics; Torus; Boundary (topology); Manifold (fluid mechanics); SPHERES; Pure mathematics; Combinatorics; 3-manifold; Topology (electrical circuits); Mathematical analysis; Geometry","score_opus":0.018026311539915026,"score_gpt":0.23805761742567225,"score_spread":0.22003130588575723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2317754099","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91304034,0.0008498529,0.0029225268,0.0039666966,0.00013031397,0.00037329426,0.000018320157,0.00008852938,0.07861014],"genre_scores_gemma":[0.95677704,0.000013199922,0.031636987,0.00075226,0.000059876693,0.0000422941,0.0000014333075,0.000045678593,0.010671252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985213,0.00008490261,0.0003494417,0.00031126427,0.00014995917,0.000583101],"domain_scores_gemma":[0.99827915,0.00070887204,0.000062289655,0.0003040836,0.00004362745,0.00060195307],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00037454977,0.00021228069,0.00034774226,0.00017586151,0.00012004542,0.000059608778,0.000128841,0.00017054984,0.074420504],"category_scores_gemma":[0.0032226318,0.00018774167,0.00006888855,0.00019807678,0.00019684549,0.00002288498,0.0000257781,0.0002053259,0.0024173332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006623097,0.000059858132,0.00043151714,0.00028582028,0.000046582263,0.0001651997,0.00074545573,6.6736516e-7,0.000019282654,0.9368769,0.05960011,0.0017619875],"study_design_scores_gemma":[0.00033903896,0.00005106335,0.00019422997,0.00013317718,0.00005608995,0.00021219275,0.0010254325,0.000029781339,0.00016740932,0.80011356,0.19728021,0.00039782297],"about_ca_topic_score_codex":0.00060767477,"about_ca_topic_score_gemma":0.001159617,"teacher_disagreement_score":0.13768011,"about_ca_system_score_codex":0.00006737356,"about_ca_system_score_gemma":0.00011291651,"threshold_uncertainty_score":0.9983594},"labels":[],"label_agreement":null},{"id":"W2319177270","doi":"10.4153/cmb-2003-028-7","title":"Rigidity of Hamiltonian Actions","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Symplectic geometry; Hamiltonian (control theory); Lie group; Symplectic manifold; Rigidity (electromagnetism); Hamiltonian system; Pure mathematics; Mathematical physics; Quantum mechanics; Physics","score_opus":0.0630593275148564,"score_gpt":0.2934953880306858,"score_spread":0.2304360605158294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2319177270","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3755893,0.00007770358,0.00878606,0.0047272746,0.00025004166,0.00043800342,0.000046144185,0.00008909515,0.6099964],"genre_scores_gemma":[0.97637355,0.00000327549,0.014854322,0.00023723245,0.00002827495,0.00001667228,0.0000016691362,0.000023838022,0.008461155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99875,0.00009316901,0.0003756036,0.0001875803,0.00016351831,0.00043016515],"domain_scores_gemma":[0.99829435,0.00067391706,0.000092965696,0.0003960941,0.000074067626,0.00046858995],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044529108,0.000145327,0.00033980262,0.0002609181,0.000106946594,0.000012651605,0.00018029704,0.00014568926,0.05602187],"category_scores_gemma":[0.0037382036,0.00013235136,0.000111701076,0.00033747114,0.0001833922,0.000015263975,0.000013542013,0.00018072224,0.0035464177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[8.890447e-7,0.00006665308,0.000091307884,0.00007204201,0.000022092576,0.000011143665,0.000096220676,2.8170024e-7,0.000024701354,0.9621461,0.03728926,0.00017932328],"study_design_scores_gemma":[0.00020932604,0.00003393185,0.00020847023,0.0000266764,0.000034016186,0.000063190455,0.00022518919,0.0000067388623,0.0005029605,0.75242704,0.24610282,0.00015964096],"about_ca_topic_score_codex":0.0005054565,"about_ca_topic_score_gemma":0.0010185036,"teacher_disagreement_score":0.6015352,"about_ca_system_score_codex":0.000090134956,"about_ca_system_score_gemma":0.00023407914,"threshold_uncertainty_score":0.99722946},"labels":[],"label_agreement":null},{"id":"W2323629771","doi":"10.4064/bc100-0-5","title":"On stability of Alexander polynomials of knots and links (survey)","year":2014,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Geometric and Algebraic Topology","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; Difference polynomials; Classical orthogonal polynomials; Discrete orthogonal polynomials; Wilson polynomials; Orthogonal polynomials; Hahn polynomials; Macdonald polynomials; Pure mathematics; Gegenbauer polynomials; Stability (learning theory); Koornwinder polynomials; Algebra over a field; Computer science","score_opus":0.06800172883125676,"score_gpt":0.31129849379220337,"score_spread":0.2432967649609466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2323629771","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97856253,0.000031149248,0.008529013,0.0013960868,0.0000688335,0.00020823564,0.00012017995,0.000027626105,0.011056337],"genre_scores_gemma":[0.99833596,0.000005764436,0.0010987072,0.00008326557,0.000017325228,0.00001118504,0.000030332547,0.000008395272,0.00040909374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9990138,0.00018430402,0.00037076857,0.00018184171,0.00010938075,0.00013994328],"domain_scores_gemma":[0.99775016,0.0013023942,0.00020768035,0.00047328015,0.00019877336,0.00006771561],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084017485,0.00008211576,0.00024463283,0.00021512317,0.00003709102,0.000008685152,0.00015662746,0.00011188979,0.00048055314],"category_scores_gemma":[0.003018061,0.00007078979,0.000046315246,0.00032889927,0.0001396575,0.000054088065,0.000059175447,0.000110280154,0.0000047247318],"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":[0.000021239186,0.0011535947,0.40262505,0.00012441124,0.00007724703,2.7821146e-8,0.00030628627,4.780141e-7,0.00028868212,0.56986886,0.021451902,0.0040822327],"study_design_scores_gemma":[0.0007925254,0.00013536094,0.95035714,0.000014758099,0.00002466944,0.0000018257128,0.00005012299,0.0000816979,0.001410677,0.043300405,0.0037128848,0.00011793953],"about_ca_topic_score_codex":0.00008608842,"about_ca_topic_score_gemma":0.00009677387,"teacher_disagreement_score":0.54773206,"about_ca_system_score_codex":0.000013200792,"about_ca_system_score_gemma":0.000033147488,"threshold_uncertainty_score":0.526172},"labels":[],"label_agreement":null},{"id":"W2324094609","doi":"10.4310/pamq.2006.v2.n3.a9","title":"Combinatorial Identities in the Theory of SU(n) Casson Invariants of Knots","year":2006,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Quarterly","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Pure mathematics; Knot theory; Algebra over a field; Combinatorics; Knot (papermaking)","score_opus":0.01826797059640894,"score_gpt":0.2472068030592479,"score_spread":0.22893883246283894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324094609","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9779813,0.000112679605,0.0029093982,0.000054816042,0.000096680546,0.00035260196,0.000012648208,0.000015893293,0.018463977],"genre_scores_gemma":[0.9977643,0.0000036334459,0.0020133185,0.000012362044,0.00006245005,0.000025516654,0.0000041439357,0.0000143775505,0.00009989552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998736,0.000056923596,0.0005971362,0.00013848393,0.0002696546,0.00020176938],"domain_scores_gemma":[0.99805254,0.0012727118,0.00033041468,0.00028544615,0.000039201434,0.000019675748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009770112,0.00015178994,0.0004555901,0.0001729003,0.000041268948,0.00002346547,0.00023845509,0.0001153643,0.000054315064],"category_scores_gemma":[0.00006221885,0.00010607309,0.000056259007,0.00029118967,0.00017732783,0.000045840872,0.000023144627,0.00013100237,0.0000058055343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014444691,0.00039320532,0.00008434687,0.00044818068,0.000020026744,0.0000036020656,0.0062566404,2.739791e-7,0.0005290511,0.99117184,0.00047379176,0.0006045989],"study_design_scores_gemma":[0.0007299023,0.00013781468,0.00048082822,0.00004138725,0.000055225442,0.000018858882,0.009029157,0.00001087846,0.00085693185,0.98851836,0.000019749674,0.00010091341],"about_ca_topic_score_codex":0.000018593586,"about_ca_topic_score_gemma":0.000016577967,"teacher_disagreement_score":0.019782998,"about_ca_system_score_codex":0.000007478567,"about_ca_system_score_gemma":0.000020048758,"threshold_uncertainty_score":0.4325535},"labels":[],"label_agreement":null},{"id":"W2324579300","doi":"10.1142/9789812792679_0003","title":"On Simple Points Of Character Varieties Of 3-Manifolds","year":2000,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Character (mathematics); Simple (philosophy); Mathematics; Pure mathematics; Computer science; Algebra over a field; Topology (electrical circuits); Combinatorics; Geometry; Epistemology; Philosophy","score_opus":0.025043348244997304,"score_gpt":0.27971993243940957,"score_spread":0.25467658419441225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2324579300","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9240359,0.0000067838087,0.00024754062,0.00016835265,0.000030524065,0.00005959735,0.00000590262,0.000019946057,0.07542542],"genre_scores_gemma":[0.9880051,0.0000067199558,0.0011382342,0.00014629838,0.000017519005,0.0000015400773,0.000002020172,0.000007494539,0.01067507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940085,0.000021884565,0.00024643142,0.00008720521,0.00012701206,0.00011662233],"domain_scores_gemma":[0.9993051,0.0003573049,0.00007394246,0.00020562067,0.00003428098,0.000023747802],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012687116,0.00006908518,0.00021842391,0.00009501986,0.000012867166,0.0000019488366,0.00009748435,0.00006188408,0.02868471],"category_scores_gemma":[0.0001332974,0.000051920088,0.00005791167,0.00015073553,0.000053318454,0.000025955222,0.00001592976,0.00004737733,0.000107401735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030889234,0.0002314352,0.00064993196,0.00005464644,0.000033557724,0.0000013082526,0.00027718546,6.7756355e-7,0.00015142372,0.98764765,0.0066566695,0.0042646015],"study_design_scores_gemma":[0.00040452764,0.00029686716,0.007842649,0.000009290169,0.000021099313,0.000004288154,0.00012552056,0.000018539833,0.010917334,0.9770676,0.003198404,0.000093894945],"about_ca_topic_score_codex":0.00004116139,"about_ca_topic_score_gemma":0.0000036401577,"teacher_disagreement_score":0.06475035,"about_ca_system_score_codex":0.000004425766,"about_ca_system_score_gemma":0.000010564396,"threshold_uncertainty_score":0.9722032},"labels":[],"label_agreement":null},{"id":"W2329919292","doi":"10.1515/advgeom-2013-0035","title":"Cubic tessellations of the didicosm","year":2014,"lang":"en","type":"article","venue":"Advances in Geometry","topic":"Geometric and Algebraic Topology","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":"York University","funders":"","keywords":"Mathematics; Tessellation (computer graphics); Quotient; Group (periodic table); Isomorphism (crystallography); Automorphism; Homogeneous space; Combinatorics; Automorphism group; Manifold (fluid mechanics); Geometry; Pure mathematics; Crystallography; Crystal structure; Physics","score_opus":0.013121239469957493,"score_gpt":0.2971951831218914,"score_spread":0.28407394365193395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329919292","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9476866,0.002241798,0.014075756,0.00041244962,0.00063195254,0.00016986878,0.00000462525,0.00003598587,0.03474094],"genre_scores_gemma":[0.9961729,0.00010098622,0.003029839,0.00006845831,0.000049837054,0.0000061153864,5.5944037e-7,0.000008597384,0.00056269707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999222,0.000060226987,0.0002604477,0.00012993401,0.00015532608,0.00017208462],"domain_scores_gemma":[0.99826044,0.0011926068,0.0001436532,0.00034843598,0.00003232106,0.000022571223],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029677144,0.000078574034,0.00018767928,0.00023374776,0.000045901343,0.000003197041,0.00026506625,0.00005427094,0.00013798475],"category_scores_gemma":[0.0019157374,0.000053543605,0.00005638789,0.0014274301,0.0001371185,0.00009007682,0.00007898031,0.0001313496,0.000013909919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000452485,0.00017399504,0.17977446,0.00012942844,0.000012700005,5.099548e-7,0.00016812581,0.00025690903,0.00017509084,0.7796495,0.00052592444,0.039128862],"study_design_scores_gemma":[0.00033398808,0.000040156992,0.031107021,0.000041612,0.0000136134495,0.0000046115633,0.00013630673,0.00012244775,0.0016960029,0.93713015,0.029265577,0.00010852892],"about_ca_topic_score_codex":0.000006431899,"about_ca_topic_score_gemma":0.00002271781,"teacher_disagreement_score":0.15748066,"about_ca_system_score_codex":0.00001460009,"about_ca_system_score_gemma":0.00001285063,"threshold_uncertainty_score":0.2293455},"labels":[],"label_agreement":null},{"id":"W2335361557","doi":"10.1090/proc/13006","title":"Erratum to “Some hyperbolic three-manifolds that bound geometrically”","year":2016,"lang":"en","type":"erratum","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mistake; Upper and lower bounds; Mathematics; Pure mathematics; Mathematical analysis; Law; Political science","score_opus":0.03032572072446591,"score_gpt":0.28433217110298586,"score_spread":0.25400645037851993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2335361557","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41127977,0.004078033,0.008434693,0.05793206,0.024225371,0.0108657405,0.00072266086,0.0024074262,0.48005423],"genre_scores_gemma":[0.1665181,0.0026772032,0.09359716,0.011570629,0.010812018,0.0011253555,0.000022940236,0.0016647866,0.7120118],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99415237,0.00003082958,0.0012941234,0.0010953301,0.0019657367,0.0014616399],"domain_scores_gemma":[0.9943916,0.0013393146,0.0022749382,0.00090857944,0.0005636724,0.00052189693],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012326868,0.0010226162,0.0028195921,0.00041535118,0.00035010217,0.00015691199,0.0030464015,0.00072024384,0.00032715866],"category_scores_gemma":[0.00476242,0.0006090431,0.0018658565,0.0033720734,0.0017468827,0.00021991371,0.0018559751,0.0015600935,0.00023886187],"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":[0.000018284087,0.00030792065,0.00028746977,0.0012109046,0.00047885132,8.2370684e-7,0.00042115297,2.812268e-8,0.0002327463,0.093244426,0.9026176,0.0011798198],"study_design_scores_gemma":[0.00036884335,0.0003601463,0.001136781,0.0008563018,0.0005079487,0.00004844472,0.000718186,0.0000288127,0.00030238737,0.9243617,0.07034393,0.00096652826],"about_ca_topic_score_codex":0.00003819775,"about_ca_topic_score_gemma":0.0000020705472,"teacher_disagreement_score":0.83227366,"about_ca_system_score_codex":0.0003867892,"about_ca_system_score_gemma":0.00024245077,"threshold_uncertainty_score":0.9996361},"labels":[],"label_agreement":null},{"id":"W2340671844","doi":"10.1090/jams/1029","title":"Bordered Floer homology for manifolds with torus boundary via immersed curves","year":2023,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Canada Research Chairs","keywords":"Algorithm; Artificial intelligence; Computer science; Mathematics","score_opus":0.022597300982607205,"score_gpt":0.2987359264998574,"score_spread":0.2761386255172502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2340671844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77742535,0.002760858,0.14784671,0.06633182,0.0017877523,0.0022108804,0.00014344485,0.00016274555,0.0013304413],"genre_scores_gemma":[0.8529289,0.003710218,0.11562225,0.011688474,0.002090851,0.00012497981,0.000013967942,0.00045291713,0.013367472],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959509,0.00032632516,0.0014426392,0.00035057223,0.00091785606,0.001011734],"domain_scores_gemma":[0.9923563,0.0034924273,0.0026546589,0.00073589926,0.00046737498,0.00029333192],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002170068,0.0005006951,0.0018386428,0.00014598719,0.00046236528,0.000075288524,0.0011365812,0.00020803837,0.0004181466],"category_scores_gemma":[0.0014674328,0.00029512212,0.0017037418,0.0020616134,0.0019406283,0.00013267784,0.00032547134,0.00084571855,0.00010893102],"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":[0.0010928306,0.0031779918,0.001648406,0.009451156,0.009805774,0.00020357747,0.0105361035,0.00006949958,0.0020337685,0.03833588,0.91203886,0.011606135],"study_design_scores_gemma":[0.007684645,0.007311587,0.0077531375,0.0030745652,0.005931968,0.003994634,0.02828366,0.006299497,0.00078880374,0.89995086,0.027069287,0.0018573306],"about_ca_topic_score_codex":0.000020779456,"about_ca_topic_score_gemma":0.0000032385317,"teacher_disagreement_score":0.8849696,"about_ca_system_score_codex":0.00020575468,"about_ca_system_score_gemma":0.00047114192,"threshold_uncertainty_score":0.9999501},"labels":[],"label_agreement":null},{"id":"W23497026","doi":"10.1007/978-3-642-39449-2_11","title":"A Few Snapshots from the Work of Mikhail Gromov","year":2013,"lang":"en","type":"book-chapter","venue":"The Abel prize","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Work (physics); Style (visual arts); Perception; Sociology; Art history; Epistemology; Humanities; Philosophy; Art; Archaeology; Geography; Engineering","score_opus":0.05051475389439227,"score_gpt":0.2505225423629933,"score_spread":0.20000778846860104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W23497026","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012523734,0.007914688,0.0011615132,0.004668511,0.0018161453,0.0021276535,0.00020735592,0.00019587408,0.96938455],"genre_scores_gemma":[0.07061811,0.00027127442,0.0025696163,0.0010533932,0.00087999256,0.000057985864,0.00005000461,0.00016433212,0.9243353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997963,0.00008243405,0.00068046636,0.0004102442,0.00048273997,0.00038109094],"domain_scores_gemma":[0.9945536,0.003072612,0.0006918528,0.001474389,0.00012261258,0.00008489325],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00042199687,0.0004597028,0.0008001464,0.00010579159,0.00014795759,0.000039281094,0.0011717421,0.0005662714,0.009853134],"category_scores_gemma":[0.00020103532,0.00025376308,0.00036730527,0.00014753155,0.0004861971,0.00003562493,0.00040337798,0.0007903399,0.0013562423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035331035,0.000090152156,0.00007539876,0.00009544993,0.00084926,0.000017471535,0.001127947,3.3871527e-7,0.000026113014,0.6989393,0.28440973,0.014333497],"study_design_scores_gemma":[0.0003687537,0.00004764832,0.00032402962,0.00017231055,0.00029284257,0.000009278205,0.000064964814,0.0000032652442,0.000011695665,0.78276134,0.21566087,0.00028297288],"about_ca_topic_score_codex":0.00020222587,"about_ca_topic_score_gemma":0.00007194367,"teacher_disagreement_score":0.08382204,"about_ca_system_score_codex":0.000039458726,"about_ca_system_score_gemma":0.000086755186,"threshold_uncertainty_score":0.9999915},"labels":[],"label_agreement":null},{"id":"W2367741273","doi":"10.1112/topo.12053","title":"Counting loxodromics for hyperbolic actions","year":2018,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","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":"European Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Geodesic; Boundary (topology); Word (group theory); Set (abstract data type); Metric (unit); Class (philosophy); Action (physics); Metric space; Space (punctuation)","score_opus":0.10064947987533866,"score_gpt":0.383137355586047,"score_spread":0.2824878757107083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2367741273","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.952903,0.000080273014,0.038521435,0.0032426217,0.0020956534,0.00008558977,0.000003588777,0.0000150550595,0.0030527923],"genre_scores_gemma":[0.96434927,0.000020328922,0.032151673,0.0003598793,0.0019865977,0.0000019036256,3.3028698e-7,0.000014513981,0.001115526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991485,0.000034151923,0.00041910398,0.00007974149,0.000084987965,0.00023354852],"domain_scores_gemma":[0.99834937,0.0006924276,0.00044327157,0.00012227241,0.00033265975,0.00006002657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047453278,0.000079841026,0.0003040147,0.00025842292,0.00012199641,0.000009567997,0.00018625827,0.00012286034,0.0003716408],"category_scores_gemma":[0.0015394111,0.00006533211,0.00013166838,0.00015866669,0.00021087064,0.000068933485,0.000029874616,0.00016051717,0.000019612833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002017129,0.00033974487,0.004722473,0.0000692261,0.00032833643,0.000025287858,0.0009326569,0.0000027461404,0.004398318,0.88461167,0.09232734,0.012040484],"study_design_scores_gemma":[0.001639678,0.0019329382,0.0014569005,0.00001905167,0.00020058415,0.0023863446,0.00084267475,0.00010523561,0.0038473215,0.83845514,0.14892504,0.0001891261],"about_ca_topic_score_codex":0.0000057938287,"about_ca_topic_score_gemma":0.000016432692,"teacher_disagreement_score":0.05659769,"about_ca_system_score_codex":0.00003943929,"about_ca_system_score_gemma":0.00008116088,"threshold_uncertainty_score":0.4069206},"labels":[],"label_agreement":null},{"id":"W2382612979","doi":"10.1090/proc/13484","title":"Local homological properties and cyclicity of homogeneous ANR-compacta","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Nipissing University","funders":"","keywords":"Homogeneous; Conjecture; Boundary (topology); Combinatorics; Mathematics; Dimension (graph theory); Metric (unit); Ball (mathematics); Mathematical analysis","score_opus":0.04700818719020177,"score_gpt":0.276772549974838,"score_spread":0.22976436278463624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2382612979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9913513,0.00019859699,0.003946958,0.0016178519,0.000051508836,0.0005998058,0.00003636018,0.00007956812,0.0021180562],"genre_scores_gemma":[0.98198706,0.0001167405,0.017374845,0.00011535743,0.00006771919,0.000044564025,3.3985177e-7,0.00004192494,0.00025142456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99751836,0.000035559096,0.0008871103,0.0005127451,0.0005765821,0.0004696693],"domain_scores_gemma":[0.9968794,0.00068015145,0.0016038645,0.00037302825,0.00032017162,0.00014341265],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0006943123,0.0004382309,0.0016598697,0.00006217246,0.000107291846,0.000028010667,0.0009772582,0.0002955825,0.000049771574],"category_scores_gemma":[0.0015846357,0.0002277039,0.0007208699,0.0003652401,0.005142747,0.000045059525,0.0022354892,0.0006194847,0.0000032327976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00050637155,0.004786414,0.024402875,0.033492427,0.004051877,0.0000046645414,0.017428113,0.000007932031,0.065693356,0.81148195,0.019737385,0.018406644],"study_design_scores_gemma":[0.00027250333,0.00021885654,0.0021912982,0.00065611955,0.00029721364,0.00006842652,0.0020912306,0.00038254863,0.014727598,0.97870004,0.000030128722,0.0003640322],"about_ca_topic_score_codex":0.00003232871,"about_ca_topic_score_gemma":3.5391332e-7,"teacher_disagreement_score":0.1672181,"about_ca_system_score_codex":0.00007929681,"about_ca_system_score_gemma":0.00007371024,"threshold_uncertainty_score":0.9975647},"labels":[],"label_agreement":null},{"id":"W2389884153","doi":"","title":"Symplectic Mapping and Hamiltonian Control Systems","year":2005,"lang":"en","type":"article","venue":"Mathematica Applicata","topic":"Geometric and Algebraic Topology","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":"Symplectomorphism; Symplectic geometry; Hamiltonian system; Mathematics; Hamiltonian (control theory); Observability; Pure mathematics; Moment map; Affine transformation; Mathematical analysis; Applied mathematics; Mathematical optimization","score_opus":0.03421257546200534,"score_gpt":0.27591986812038205,"score_spread":0.2417072926583767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2389884153","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44995072,0.0018783238,0.49877012,0.0062121307,0.0001624284,0.003028349,0.00005084745,0.00090011995,0.03904697],"genre_scores_gemma":[0.9811194,0.0000157234,0.016863467,0.00019821683,0.0001885633,0.0002377426,0.0000021992726,0.00004164639,0.0013330495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842125,0.000048815233,0.00050514925,0.00036917688,0.00022377416,0.00043183102],"domain_scores_gemma":[0.9980208,0.00095251354,0.00018214586,0.00064493204,0.000041052997,0.00015851016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005589715,0.00023081123,0.0005272804,0.00018071613,0.00014798479,0.000075885764,0.0002957655,0.0001243759,0.00014695725],"category_scores_gemma":[0.00032098131,0.00019371329,0.00006035025,0.00032818576,0.0001278593,0.00007519764,0.000104192186,0.00016601985,0.00037166415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052031887,0.00017467291,0.0001478322,0.00052231207,0.00009851546,0.0000042255515,0.00061428716,0.0000028385841,0.00053907075,0.9877115,0.005276499,0.0049030473],"study_design_scores_gemma":[0.0029714429,0.00011572791,0.00061706064,0.00021394998,0.00028355088,0.00090433063,0.0014456138,0.019960485,0.0003428015,0.9084834,0.06368129,0.0009803682],"about_ca_topic_score_codex":0.0000084289395,"about_ca_topic_score_gemma":0.0000035212654,"teacher_disagreement_score":0.5311687,"about_ca_system_score_codex":0.00004416495,"about_ca_system_score_gemma":0.000019279152,"threshold_uncertainty_score":0.7899399},"labels":[],"label_agreement":null},{"id":"W2400257103","doi":"10.1017/cbo9781316227343.015","title":"Something for nothing: some consequences of the solution of the Tarski problems","year":2015,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Geometric and Algebraic Topology","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Terminology; Diophantine equation; Section (typography); Algebraic number; Combinatorics; Pure mathematics; Algebra over a field; Calculus (dental); Computer science; Mathematical analysis; Philosophy","score_opus":0.10154222196035693,"score_gpt":0.25721090594379864,"score_spread":0.1556686839834417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2400257103","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004421779,0.0006814761,0.0035807488,0.000522064,0.0012244125,0.0025718715,0.0007187949,0.000077513214,0.98620135],"genre_scores_gemma":[0.0433914,0.00001678589,0.00061304326,0.000043649994,0.00007500213,0.0000016806359,0.0000043217306,0.000030096518,0.955824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99878335,0.000072242125,0.00032477273,0.0002559524,0.00035014463,0.00021356241],"domain_scores_gemma":[0.9975687,0.0004917713,0.0009473871,0.000588763,0.00035251558,0.000050856008],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043762822,0.00022825472,0.0004913092,0.00015180174,0.00018740028,0.000007981804,0.00088100025,0.00036889844,0.0000024672615],"category_scores_gemma":[0.00030251232,0.00016008965,0.00036467306,0.000024470195,0.0011391015,0.00006049013,0.0004994079,0.00036754395,4.9169944e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023175015,0.00001245757,0.0000029129399,0.00040944258,0.00013943878,0.0000013140938,0.00044761668,0.000007549389,0.00041718985,0.98999035,0.00840471,0.00014382835],"study_design_scores_gemma":[0.0021755723,0.00023280717,0.00001985161,0.0013943844,0.0016178207,0.000037142985,0.0005474682,0.0001407104,0.014852143,0.1307568,0.8474681,0.0007572216],"about_ca_topic_score_codex":0.0001740629,"about_ca_topic_score_gemma":0.0000036650388,"teacher_disagreement_score":0.85923356,"about_ca_system_score_codex":0.000117615564,"about_ca_system_score_gemma":0.00032316506,"threshold_uncertainty_score":0.6528266},"labels":[],"label_agreement":null},{"id":"W2407009606","doi":"","title":"The Cayley digraph associated to the Kautz digraph.","year":2010,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric and Algebraic Topology","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":"Digraph; Mathematics; Combinatorics","score_opus":0.014421888408352918,"score_gpt":0.2671424952072362,"score_spread":0.2527206067988833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2407009606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9828403,0.00007770026,0.000016687341,0.0065205684,0.004965128,0.00036564906,0.000007388584,0.00014101688,0.0050655464],"genre_scores_gemma":[0.99705625,0.000014612778,0.00006812694,0.00037054354,0.000030567713,0.00005537921,0.000002800985,0.000027261956,0.0023744686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984728,0.00012880005,0.00030256814,0.0002462369,0.00034225086,0.0005073227],"domain_scores_gemma":[0.99662966,0.0021275908,0.00014965054,0.0008207219,0.00013677841,0.00013563076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010758693,0.00018746768,0.00023055861,0.00011242677,0.000663362,0.000099626406,0.0008285044,0.00016287263,0.00008429826],"category_scores_gemma":[0.003307518,0.00010403973,0.00014947233,0.0011565661,0.00017617167,0.000048661987,0.00016875417,0.00057592615,0.00017594169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000051024736,0.00010470115,0.0050195768,0.000002454171,0.00007206297,0.0000031794054,0.0004414231,1.662545e-7,0.0001053527,0.9450234,0.048277017,0.00094552315],"study_design_scores_gemma":[0.0003925804,0.00007666655,0.018057717,0.0000050898852,0.000035970806,0.0000054101397,0.00021870491,0.000009755717,0.00030844915,0.9272648,0.053469352,0.00015548138],"about_ca_topic_score_codex":0.000113300484,"about_ca_topic_score_gemma":0.0006116362,"teacher_disagreement_score":0.01775862,"about_ca_system_score_codex":0.000020120402,"about_ca_system_score_gemma":0.00004484728,"threshold_uncertainty_score":0.5102111},"labels":[],"label_agreement":null},{"id":"W2407809474","doi":"10.1142/s0218216517400089","title":"The four-genus of a link, Levine–Tristram signatures and satellites","year":2016,"lang":"en","type":"preprint","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Link (geometry); Triviality; Genus; Homotopy; Mathematics; String (physics); Combinatorics; Pure mathematics; Mathematical physics; Biology; Botany","score_opus":0.046500257838630335,"score_gpt":0.31358536870052406,"score_spread":0.26708511086189374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2407809474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84274536,0.12491202,0.016288491,0.011607221,0.0011105228,0.00071723363,0.0001857324,0.000033703476,0.00239971],"genre_scores_gemma":[0.98773736,0.009243987,0.0009622287,0.000031452924,0.00034173465,0.0000057810216,0.000001584105,0.000016713882,0.0016591358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830633,0.0003999814,0.0007750876,0.00016195691,0.0001900893,0.00016656579],"domain_scores_gemma":[0.99170804,0.0062455274,0.0012147942,0.00031635712,0.00041494422,0.00010036562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022407107,0.00018340343,0.00045062698,0.00022738539,0.00019330764,0.00005086673,0.00037392427,0.00027557675,0.00004404647],"category_scores_gemma":[0.004476922,0.00010063161,0.00015812072,0.00013383642,0.00032777071,0.000056640005,0.00015752652,0.0006404157,0.000002039492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092613656,0.00007199865,0.000049091217,0.00019988239,0.00028425595,0.0000041841113,0.0005783727,0.00000331733,0.0010342677,0.9567475,0.0005728348,0.040361732],"study_design_scores_gemma":[0.00028122423,0.000106578525,0.0018292604,0.00023091905,0.00024998077,0.00010089041,0.00030302373,0.000015779668,0.0009936492,0.98862535,0.0071372995,0.00012605658],"about_ca_topic_score_codex":5.193394e-7,"about_ca_topic_score_gemma":8.888459e-7,"teacher_disagreement_score":0.14499202,"about_ca_system_score_codex":0.000015408172,"about_ca_system_score_gemma":0.00014249259,"threshold_uncertainty_score":0.53596175},"labels":[],"label_agreement":null},{"id":"W2410304208","doi":"10.1142/s0129167x17500409","title":"Rational and polynomial density on compact real manifolds","year":2017,"lang":"en","type":"preprint","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Dimension (graph theory); Mathematics; Manifold (fluid mechanics); Polynomial; Rational function; Combinatorics; Characterization (materials science); Element (criminal law); Pure mathematics; Mathematical analysis; Physics","score_opus":0.0701655255193443,"score_gpt":0.36328132979480027,"score_spread":0.29311580427545597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2410304208","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9799214,0.00008581273,0.0043183533,0.003570177,0.0035175353,0.00019096165,0.00007444896,0.000025214034,0.00829611],"genre_scores_gemma":[0.9795357,0.0002790182,0.017382957,0.0000989516,0.0017432941,0.0000014885187,0.00001131587,0.000035016456,0.0009122814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99752665,0.00006920192,0.0009789008,0.00021175493,0.0010273281,0.0001861795],"domain_scores_gemma":[0.9952767,0.0010420142,0.002433031,0.00038794705,0.00072048197,0.00013985712],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009691981,0.0003024186,0.0007270988,0.0005060489,0.00010341542,0.00023696605,0.001040019,0.0003091929,0.00015551165],"category_scores_gemma":[0.0018505028,0.0002503936,0.0002884134,0.000027604303,0.00016021708,0.00010890483,0.00042341757,0.00081441825,0.000018456978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006685445,0.0037977297,0.007994478,0.0009906957,0.005700337,0.002252361,0.005113095,0.00026680186,0.00039793868,0.8153821,0.14848626,0.008949642],"study_design_scores_gemma":[0.0017234276,0.00028350856,0.007440113,0.0009455011,0.0002937933,0.0022751987,0.00031097943,0.0007953562,0.00057370984,0.98353297,0.0013729761,0.0004524723],"about_ca_topic_score_codex":0.00003442849,"about_ca_topic_score_gemma":0.000014742458,"teacher_disagreement_score":0.16815086,"about_ca_system_score_codex":0.00018068306,"about_ca_system_score_gemma":0.00026828935,"threshold_uncertainty_score":0.9999948},"labels":[],"label_agreement":null},{"id":"W2410686863","doi":"10.4171/ggd/356","title":"Effective coherence of groups discriminated by a locally quasi-convex hyperbolic group","year":2016,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Embedding; Abelian group; Centralizer and normalizer; Iterated function; Finitely-generated abelian group; Group (periodic table); Torsion (gastropod); Regular polygon; Decidability; Pure mathematics; Discrete mathematics; Combinatorics; Computer science; Mathematical analysis; Physics","score_opus":0.012375123573943391,"score_gpt":0.2585953361901528,"score_spread":0.2462202126162094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2410686863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7884262,0.0014159039,0.20538975,0.00023596162,0.00079845433,0.0011746534,0.0008906178,0.00017658235,0.0014918703],"genre_scores_gemma":[0.9964566,0.0003421308,0.0017493654,0.00009203037,0.00015835791,0.00017451856,0.00031348743,0.000101513324,0.0006119848],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99608564,0.00033316293,0.0010524845,0.0011704718,0.00053926074,0.0008189946],"domain_scores_gemma":[0.99537325,0.0021206306,0.0009384791,0.0010247745,0.00023575168,0.0003070866],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008191342,0.00084566185,0.00179174,0.0008273035,0.0001533184,0.00006555549,0.0007914142,0.001217207,0.00013172426],"category_scores_gemma":[0.001103023,0.0006833482,0.0003333622,0.00089867716,0.00086627627,0.00014723782,0.0014382697,0.0011194601,0.000020468347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057140115,0.0029227396,0.026032956,0.007647433,0.0016570722,0.00010213318,0.0016002157,0.000008078703,0.0009804795,0.8143315,0.002543992,0.14160202],"study_design_scores_gemma":[0.0026093277,0.0012873928,0.010498321,0.00090580486,0.0006495227,0.000116013616,0.0010187764,0.0038743655,0.0002955108,0.976989,0.00017578091,0.0015802],"about_ca_topic_score_codex":0.00019109574,"about_ca_topic_score_gemma":0.00008187454,"teacher_disagreement_score":0.2080304,"about_ca_system_score_codex":0.00021605949,"about_ca_system_score_gemma":0.00007960347,"threshold_uncertainty_score":0.9995618},"labels":[],"label_agreement":null},{"id":"W2413157341","doi":"10.1007/978-3-319-44479-6_3","title":"Computing Heegaard Genus is NP-Hard","year":2017,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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":"Quest University Canada","funders":"","keywords":"Genus; Heegaard splitting; Combinatorics; Mathematics; Quadratic equation; Reduction (mathematics); Geometry; Zoology; Biology","score_opus":0.0931322197064243,"score_gpt":0.31688814113773683,"score_spread":0.22375592143131254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2413157341","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00017045642,0.0003137664,0.0028015932,0.00075187004,0.0007023944,0.00021448766,0.000027557355,0.00017704333,0.99484086],"genre_scores_gemma":[0.0037792912,0.00006338585,0.009174898,0.0007782897,0.0006705313,0.0000013296416,0.000010552752,0.00008619143,0.98543555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984164,0.000010279711,0.000442948,0.0004634836,0.000302887,0.00036395658],"domain_scores_gemma":[0.9979057,0.00035178373,0.00050291,0.0010132127,0.00010902896,0.00011740939],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025577945,0.0003964188,0.0007568267,0.00026425952,0.00022500692,0.00006585763,0.00055937713,0.000577185,0.009718986],"category_scores_gemma":[0.00021347539,0.00034313236,0.0002993664,0.00001464906,0.00016283387,0.00003576278,0.00033966222,0.0004894477,0.0023739024],"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":[0.0000024187455,0.000010250248,0.00001753947,0.00008226626,0.00014612328,0.0000480649,0.000096694945,4.8590742e-8,7.2060186e-7,0.76858675,0.21482235,0.016186744],"study_design_scores_gemma":[0.00017378123,0.00003277684,0.000015949841,0.000049950984,0.00007878321,0.000059293616,0.000007540472,0.000009626053,0.000012144344,0.45163265,0.5476299,0.00029760972],"about_ca_topic_score_codex":0.000028845832,"about_ca_topic_score_gemma":0.000009852339,"teacher_disagreement_score":0.33280754,"about_ca_system_score_codex":0.000044081346,"about_ca_system_score_gemma":0.00006769439,"threshold_uncertainty_score":0.99990207},"labels":[],"label_agreement":null},{"id":"W241514567","doi":"10.1142/s0218216515410011","title":"Virtual braids and virtual curve diagrams","year":2015,"lang":"en","type":"preprint","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Braid group; Injective function; Homomorphism; Braid; Combinatorics; Mathematics; Free group; Group (periodic table); Artin group; Extension (predicate logic); Kernel (algebra); Discrete mathematics; Physics; Coxeter group; Computer science","score_opus":0.05572401463324798,"score_gpt":0.32704233795559867,"score_spread":0.2713183233223507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W241514567","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.963171,0.0070858747,0.02598455,0.0010939998,0.0010418039,0.0002996605,0.0000847188,0.000035887213,0.0012024954],"genre_scores_gemma":[0.99459183,0.0012068592,0.00083994225,0.00009379545,0.0004891265,0.000008509794,0.0000108579525,0.000028993105,0.002730097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978128,0.00061135535,0.0008108887,0.0002627277,0.0002824568,0.0002197488],"domain_scores_gemma":[0.99558985,0.002378068,0.0009097739,0.00032548184,0.00050231256,0.00029452308],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033291841,0.0002691766,0.00065228075,0.00045930923,0.00012426657,0.00009101826,0.00036142668,0.00036771796,0.000112325186],"category_scores_gemma":[0.0056604957,0.00021428928,0.00014836203,0.0002281187,0.0002691383,0.00015616755,0.00032912087,0.000992505,0.000013121716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000737116,0.00020797299,0.00008004017,0.000055211145,0.00021853778,0.000008204516,0.0019580943,0.000018323663,0.00008946981,0.9849216,0.0023956718,0.009973184],"study_design_scores_gemma":[0.00064469513,0.00042613628,0.000984749,0.00012337053,0.00034249754,0.00027050544,0.0021149013,0.00010793349,0.000083302264,0.9902687,0.0043625957,0.00027059563],"about_ca_topic_score_codex":0.0000015328834,"about_ca_topic_score_gemma":0.0000021525134,"teacher_disagreement_score":0.03142081,"about_ca_system_score_codex":0.00004329706,"about_ca_system_score_gemma":0.0002703167,"threshold_uncertainty_score":0.8738463},"labels":[],"label_agreement":null},{"id":"W2442263320","doi":"10.4310/jdg/1542423625","title":"Non-convex balls in the Teichmüller metric","year":2018,"lang":"en","type":"preprint","venue":"Journal of Differential Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Metric (unit); Mathematics; Regular polygon; Pure mathematics; Geometry; Economics","score_opus":0.037427722550239545,"score_gpt":0.31967680144296695,"score_spread":0.28224907889272743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2442263320","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98109555,0.00083825795,0.01025866,0.000664585,0.0044487217,0.00038549324,0.000016285238,0.000015214378,0.0022772432],"genre_scores_gemma":[0.9946794,0.00022054439,0.0017331159,0.00020078039,0.0024461397,0.000009465838,0.0000064187416,0.00004964235,0.0006544888],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957444,0.0003268035,0.0017135112,0.0003827526,0.0012352773,0.00059726613],"domain_scores_gemma":[0.9952378,0.0014392681,0.0019408623,0.00080116093,0.00041883055,0.00016203405],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002096586,0.0005057418,0.0015078683,0.003989812,0.00008420815,0.00015981995,0.0020091215,0.0007534934,0.0022056438],"category_scores_gemma":[0.002031247,0.0003128549,0.00078638905,0.0021832483,0.00020256096,0.000094177245,0.0007999113,0.0025779065,0.0000689732],"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":[0.0016531408,0.018310543,0.18947671,0.0072886753,0.010926845,0.002856417,0.015248162,0.00014870272,0.0011059666,0.030442797,0.6599444,0.062597625],"study_design_scores_gemma":[0.0066050743,0.0018859429,0.3719738,0.0012615559,0.0021173498,0.0009598507,0.0022929441,0.0002659898,0.0012050756,0.6033248,0.006245077,0.0018625946],"about_ca_topic_score_codex":0.00003034358,"about_ca_topic_score_gemma":0.0000092727305,"teacher_disagreement_score":0.65369934,"about_ca_system_score_codex":0.00013178358,"about_ca_system_score_gemma":0.0002362709,"threshold_uncertainty_score":0.99993235},"labels":[],"label_agreement":null},{"id":"W2460645998","doi":"10.1090/proc/13667","title":"Concordance group of virtual knots","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Concordance; Knot (papermaking); Group (periodic table); Mathematics; Medicine; Physics; Materials science; Internal medicine; Composite material","score_opus":0.02696743963646786,"score_gpt":0.3033304574237753,"score_spread":0.27636301778730743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2460645998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98728704,0.00001475078,0.0012539986,0.0009347951,0.00006064763,0.00022176716,0.000006928174,0.00003423506,0.010185862],"genre_scores_gemma":[0.9678816,0.000017911594,0.031263545,0.000106970874,0.00006033293,0.000013841551,9.887163e-8,0.000022096381,0.0006336001],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985801,0.000008185092,0.0004910071,0.00021808463,0.00041107176,0.0002915257],"domain_scores_gemma":[0.99711823,0.00048662236,0.0017266211,0.0004021292,0.0001923663,0.00007403537],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005776211,0.00017390285,0.0006976552,0.000022945811,0.00023984385,0.00002970539,0.0012218362,0.000060839036,0.000061837825],"category_scores_gemma":[0.002921164,0.0001130258,0.00044761106,0.0002462643,0.0025717115,0.0001229801,0.00054084114,0.00020595726,0.000007467101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023861943,0.000335291,0.009041232,0.0004926698,0.00015907176,1.3483057e-7,0.0013621678,9.933902e-8,0.009243568,0.97070616,0.0060304864,0.002605272],"study_design_scores_gemma":[0.00050368137,0.000301519,0.019290645,0.00018280945,0.00012998028,0.000013381349,0.003577936,0.00025809967,0.0105445795,0.9647395,0.00023257788,0.00022527792],"about_ca_topic_score_codex":0.000026459875,"about_ca_topic_score_gemma":4.0700496e-7,"teacher_disagreement_score":0.030009547,"about_ca_system_score_codex":0.000027525297,"about_ca_system_score_gemma":0.000022205712,"threshold_uncertainty_score":0.94755787},"labels":[],"label_agreement":null},{"id":"W2460897146","doi":"10.15407/mag10.04.399","title":"A Study on the φ - Symmetric K-Contact Manifold Admitting Quarter-Symmetric Metric Connection","year":2014,"lang":"en","type":"article","venue":"Zurnal matematiceskoj fiziki analiza geometrii","topic":"Geometric and Algebraic Topology","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":"Quarter (Canadian coin); Connection (principal bundle); Mathematics; Combinatorics; Metric (unit); Manifold (fluid mechanics); Metric connection; Symmetric closure; Pure mathematics; Ring of symmetric functions; Geometry; Geography; Fundamental theorem of Riemannian geometry; Engineering","score_opus":0.054793544021785996,"score_gpt":0.30809047319956717,"score_spread":0.2532969291777812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2460897146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.948345,0.0006228237,0.01479765,0.0011409917,0.001284252,0.0023832016,0.00002132816,0.00046522298,0.030939521],"genre_scores_gemma":[0.9966014,0.000041071435,0.0006731288,0.0007669005,0.00054223737,0.00019285004,0.000009647998,0.00013087763,0.0010418587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9910822,0.0019239408,0.0023271595,0.001105835,0.0021654214,0.0013954774],"domain_scores_gemma":[0.97756237,0.017840726,0.0020069475,0.00165373,0.00048186767,0.0004543438],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.009774217,0.00092092156,0.0017162778,0.0106650125,0.0009933907,0.0005738001,0.0014949485,0.00033937563,0.0016328437],"category_scores_gemma":[0.02681864,0.00062529487,0.00059589115,0.027654096,0.00007701344,0.0004443631,0.0002959571,0.0010792555,0.001106648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019478511,0.005574354,0.04104662,0.0012782837,0.0021559224,0.00019542621,0.0019469447,0.000055214892,0.00005996808,0.9219252,0.017624324,0.00794299],"study_design_scores_gemma":[0.023541696,0.036567718,0.3598182,0.0022197375,0.007033267,0.0019478202,0.07620557,0.01698461,0.0022844784,0.44596842,0.019091962,0.008336544],"about_ca_topic_score_codex":0.00025056727,"about_ca_topic_score_gemma":0.000033839122,"teacher_disagreement_score":0.47595674,"about_ca_system_score_codex":0.00031056802,"about_ca_system_score_gemma":0.00007524121,"threshold_uncertainty_score":0.9996711},"labels":[],"label_agreement":null},{"id":"W2473163582","doi":"10.1017/cbo9780511842474.007","title":"Discriminating groups: a comprehensive overview","year":2011,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Geometric and Algebraic Topology","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":"Class (philosophy); Algebraic number; Mathematics; Group (periodic table); Algebra over a field; Object (grammar); Pure mathematics; Mathematics education; Computer science; Artificial intelligence; Mathematical analysis; Physics","score_opus":0.12391568390578989,"score_gpt":0.26389529514027665,"score_spread":0.13997961123448677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2473163582","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00032609134,0.00070339587,0.001185069,0.000012358727,0.0003053253,0.0004596066,0.00015218958,0.00020799857,0.99664795],"genre_scores_gemma":[0.0023349363,0.00028205526,0.00075999205,0.00008941724,0.00014338743,0.0000010481169,0.000029475386,0.00008312678,0.99627656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99834305,0.00006518333,0.0003178102,0.0005873366,0.00027731544,0.00040933254],"domain_scores_gemma":[0.99801785,0.00038329445,0.0004774137,0.00071347854,0.00021839932,0.0001895553],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000094200586,0.00051897997,0.00081352284,0.0003518391,0.00020501857,0.000022441347,0.0006329567,0.0005080493,0.00006710465],"category_scores_gemma":[0.000049727198,0.0005661172,0.00037560784,0.000017750972,0.00036353237,0.000071971386,0.0007343663,0.0006330064,0.000047712296],"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":[0.000027464908,0.000019097597,9.336051e-7,0.00042981375,0.00021857751,0.0003384051,0.00016744064,3.2562166e-8,0.000003990901,0.9698588,0.026529187,0.0024062383],"study_design_scores_gemma":[0.0006958631,0.00010926552,0.000024808995,0.00043559057,0.00073201495,0.00007309433,0.00020035797,0.000005723225,0.000050426253,0.011854351,0.9850492,0.0007692985],"about_ca_topic_score_codex":0.00014553912,"about_ca_topic_score_gemma":0.000003324419,"teacher_disagreement_score":0.95852,"about_ca_system_score_codex":0.00014870166,"about_ca_system_score_gemma":0.000070312104,"threshold_uncertainty_score":0.999679},"labels":[],"label_agreement":null},{"id":"W2484927098","doi":"10.1090/cbms/117/14","title":"Hyperbolic groups with a quasiconvex hierachy","year":2012,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Geometric and Algebraic Topology","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":"Quasiconvex function; Pure mathematics; Mathematics; Computer science; Geometry","score_opus":0.08234800431203163,"score_gpt":0.27739234573708715,"score_spread":0.19504434142505553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2484927098","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006903839,0.001892076,0.005259947,0.0021042323,0.0003960057,0.0014747966,0.000067391076,0.00036087693,0.98154086],"genre_scores_gemma":[0.0959325,0.0020513413,0.06579782,0.00036884664,0.00083350483,0.00015432874,0.00011781045,0.00043933513,0.8343045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972054,0.000040031908,0.0008734261,0.0005052293,0.0007238255,0.0006521221],"domain_scores_gemma":[0.9971197,0.0008427627,0.00071130187,0.00087570987,0.00025103297,0.0001994803],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00041968352,0.00076358416,0.0013537809,0.0005254313,0.00010098294,0.000056830897,0.00059322274,0.0007099422,0.0021820392],"category_scores_gemma":[0.00020999399,0.00061922753,0.00018756672,0.00016129548,0.0007955243,0.00023757546,0.00018902087,0.0009350524,0.00028135642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035049754,0.00014079385,0.000027294967,0.0006657038,0.00012227276,0.00006452284,0.0015452439,2.5736978e-7,0.0000037991479,0.994701,0.0011507696,0.0015432825],"study_design_scores_gemma":[0.00041482568,0.0001904688,0.000028450015,0.0007758128,0.0001518285,0.0007744567,0.000643098,0.000016577858,0.000014174542,0.94945085,0.04680627,0.00073321915],"about_ca_topic_score_codex":0.0000074039476,"about_ca_topic_score_gemma":0.00009359316,"teacher_disagreement_score":0.14723632,"about_ca_system_score_codex":0.00013266338,"about_ca_system_score_gemma":0.00029623308,"threshold_uncertainty_score":0.9996259},"labels":[],"label_agreement":null},{"id":"W2487114692","doi":"10.1090/cbms/117/02","title":"Nonpositively curved cube complexes","year":2012,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Geometric and Algebraic Topology","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":"Cube (algebra); Computer science; Computer graphics (images); Geometry; Mathematics","score_opus":0.13442175761351882,"score_gpt":0.31162193110333397,"score_spread":0.17720017348981515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2487114692","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0014158486,0.0013261162,0.005321255,0.0013844424,0.00042475338,0.0010575948,0.0001563259,0.00025243164,0.9886612],"genre_scores_gemma":[0.042848762,0.0017493437,0.05491945,0.00024174496,0.0006207229,0.00007651637,0.00018182458,0.00028701196,0.8990746],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99717784,0.00005498889,0.0010208249,0.00046872927,0.0006561397,0.00062147545],"domain_scores_gemma":[0.9968603,0.0012241844,0.0007348844,0.00069412356,0.00030972654,0.00017674238],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00051613466,0.00071475207,0.0013405557,0.0004880426,0.000117175616,0.00005736351,0.00064424373,0.0007002692,0.0031819143],"category_scores_gemma":[0.0003370265,0.0006653647,0.00026407122,0.00012283948,0.0007790547,0.0002146587,0.00029136462,0.0008164973,0.00039245957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001972669,0.00012152805,0.000015745254,0.00058102317,0.00010792464,0.000037090405,0.001046808,2.241741e-7,0.000017698718,0.9937089,0.0033547026,0.0009885945],"study_design_scores_gemma":[0.00030050322,0.00008883398,0.000053113035,0.00076129,0.00010804441,0.00028081637,0.00037711416,0.000020019306,0.00005265524,0.94313014,0.054158922,0.00066856534],"about_ca_topic_score_codex":0.000009613722,"about_ca_topic_score_gemma":0.00007567285,"teacher_disagreement_score":0.08958661,"about_ca_system_score_codex":0.00014240145,"about_ca_system_score_gemma":0.00023769191,"threshold_uncertainty_score":0.9995798},"labels":[],"label_agreement":null},{"id":"W2490801276","doi":"10.4171/160-1/9","title":"Representations of fundamental groups of 2-manifolds","year":2015,"lang":"en","type":"book-chapter","venue":"IRMA lectures in mathematics and theoretical physics","topic":"Geometric and Algebraic Topology","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":"Pure mathematics; Moduli space; Holomorphic function; Mathematics; Vector bundle; Riemann surface; Algebra over a field; Subject (documents); Computer science","score_opus":0.038232846502744874,"score_gpt":0.3112821803451181,"score_spread":0.27304933384237323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2490801276","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024132723,0.0011020233,0.013916965,0.00015363793,0.00023812866,0.00087531627,0.00019627705,0.000048820835,0.9593361],"genre_scores_gemma":[0.9845734,0.00009708036,0.010047917,0.0000199154,0.00012542406,0.000008277304,0.00002157827,0.00007614432,0.005030237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982356,0.000029787896,0.0008067441,0.00026972085,0.00043921254,0.00021895126],"domain_scores_gemma":[0.99742573,0.0013728896,0.00049636734,0.00047660372,0.00014068637,0.00008769964],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038874664,0.00032367778,0.0009571413,0.00018605175,0.00002710935,0.000011294679,0.0002477406,0.0003225975,0.00044982278],"category_scores_gemma":[0.00041770304,0.0002679387,0.00017573946,0.0001109907,0.0012740515,0.000030125226,0.00021389793,0.0003716723,0.0000057296556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016658807,0.00020446195,0.000014891123,0.0006335023,0.00010693688,0.0000068587406,0.0010037806,0.0000060921407,0.00003381679,0.9970158,0.00043993286,0.0005172878],"study_design_scores_gemma":[0.0004069181,0.00015430011,0.000007245373,0.00024591517,0.00016499581,0.000017541146,0.00016169278,0.00025005068,0.00027255574,0.99794894,0.00014603113,0.00022383318],"about_ca_topic_score_codex":0.0000038875296,"about_ca_topic_score_gemma":0.0000026621897,"teacher_disagreement_score":0.9604407,"about_ca_system_score_codex":0.00003285894,"about_ca_system_score_gemma":0.000054314998,"threshold_uncertainty_score":0.9999773},"labels":[],"label_agreement":null},{"id":"W2491849412","doi":"10.1017/fms.2018.12","title":"COLORING CURVES ON SURFACES","year":2018,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","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":"Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Combinatorics; Chromatic scale; Graph; Homomorphism; Discrete mathematics","score_opus":0.07049163471608608,"score_gpt":0.3281491480350771,"score_spread":0.257657513318991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2491849412","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92972887,0.001700621,0.010335998,0.0023677477,0.0021480185,0.0018230624,0.00022367407,0.00039917248,0.051272854],"genre_scores_gemma":[0.91562086,0.000556087,0.0786514,0.00024127985,0.0002868216,0.0001091375,0.000037865673,0.00016423561,0.004332302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99716747,0.00007845798,0.0010601109,0.0004901624,0.0006714511,0.0005323417],"domain_scores_gemma":[0.99524647,0.0019625914,0.0011859762,0.0012523961,0.00024280495,0.00010978114],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009923931,0.00048670082,0.0012744296,0.00037167242,0.00008842698,0.00002762751,0.000890349,0.00048592495,0.0007796212],"category_scores_gemma":[0.0026654655,0.0004167918,0.00034187685,0.00027328986,0.00028081713,0.00004093963,0.0010112489,0.0005565163,0.00013494499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005064201,0.002912733,0.0010744092,0.037874445,0.0010699305,0.000028039598,0.0027513902,0.00017280088,0.00015052404,0.6862131,0.26680475,0.0008972675],"study_design_scores_gemma":[0.00033342192,0.00040192032,0.00007607984,0.004331114,0.00020511443,0.00001178053,0.00073117035,0.00074645143,0.004549582,0.9869951,0.0011148668,0.00050339237],"about_ca_topic_score_codex":0.00002040546,"about_ca_topic_score_gemma":0.000014957994,"teacher_disagreement_score":0.30078205,"about_ca_system_score_codex":0.000061602426,"about_ca_system_score_gemma":0.00012185026,"threshold_uncertainty_score":0.9998284},"labels":[],"label_agreement":null},{"id":"W2493093864","doi":"10.1515/crelle-2018-0041","title":"Dehn functions and Hölder extensions in asymptotic cones","year":2019,"lang":"en","type":"preprint","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Dehn surgery; Mathematics; Sobolev space; Pure mathematics; Invariant (physics); Isometry (Riemannian geometry); Quadratic equation; Function (biology); Mathematical proof; Mathematical analysis; Knot (papermaking); Geometry","score_opus":0.044799844324515885,"score_gpt":0.3365208738839722,"score_spread":0.29172102955945634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2493093864","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8552971,0.08465609,0.031620763,0.011211748,0.006080355,0.0015019618,0.00008491215,0.00018624787,0.009360807],"genre_scores_gemma":[0.8879717,0.048562247,0.023771482,0.00049921096,0.003716941,0.0000523219,0.00003060559,0.00045706116,0.03493843],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944179,0.0005125951,0.0023697051,0.00070753606,0.0009292705,0.001062983],"domain_scores_gemma":[0.99351484,0.0021082808,0.0022574167,0.0008287147,0.000622987,0.0006677839],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.002572758,0.0009686918,0.0021536825,0.0021560662,0.0007078005,0.00069881184,0.00074964593,0.00084133155,0.0007692291],"category_scores_gemma":[0.0024901486,0.00073673704,0.0007602785,0.0005459676,0.0002671522,0.00032248828,0.0009459575,0.004835183,0.00013182705],"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":[0.0018135349,0.013465558,0.030256381,0.020624634,0.023813391,0.023632068,0.034050602,0.011407578,0.00448185,0.19509535,0.56741977,0.07393931],"study_design_scores_gemma":[0.0041492465,0.0005197207,0.0013456809,0.0050883223,0.0016370871,0.018850284,0.0042228983,0.0012640689,0.00014376952,0.9402516,0.02095294,0.0015744077],"about_ca_topic_score_codex":0.00002431647,"about_ca_topic_score_gemma":0.000068642534,"teacher_disagreement_score":0.7451562,"about_ca_system_score_codex":0.00033925354,"about_ca_system_score_gemma":0.00053185236,"threshold_uncertainty_score":0.9995084},"labels":[],"label_agreement":null},{"id":"W2502930507","doi":"10.1090/cbms/117/08","title":"Cubulating malnormal graphs of cubulated groups","year":2012,"lang":"en","type":"book-chapter","venue":"Regional conference series in mathematics","topic":"Geometric and Algebraic Topology","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":"Computer science; Mathematics","score_opus":0.08915499498968903,"score_gpt":0.28956809780938314,"score_spread":0.2004131028196941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2502930507","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04310928,0.0021419835,0.0036416466,0.00065414846,0.0007041358,0.0016112768,0.0001319037,0.0003138904,0.94769174],"genre_scores_gemma":[0.6082254,0.0016307848,0.072302684,0.00008588489,0.00034965883,0.000047764344,0.00016384905,0.00033590753,0.31685808],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99694365,0.000042983796,0.0014291602,0.00037118772,0.0006669181,0.0005461019],"domain_scores_gemma":[0.99673617,0.0008780263,0.0012474899,0.0006876478,0.0003189448,0.0001317373],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00059196237,0.0006135226,0.0013786205,0.0006725973,0.00007372147,0.000022826207,0.00054739666,0.000769133,0.0020878315],"category_scores_gemma":[0.0003587895,0.00057189364,0.0002854316,0.00020006587,0.0006589117,0.00020777278,0.00026297945,0.00073651626,0.00005864699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021188875,0.000105099665,0.000075243624,0.0011189483,0.00011646706,0.000022599821,0.0012197614,0.0000016568032,0.000026680269,0.99590856,0.00042967265,0.0009541349],"study_design_scores_gemma":[0.00030359862,0.00010323701,0.00006993972,0.0010022062,0.00012991867,0.00023657616,0.0005083564,0.00007535113,0.000075341755,0.994019,0.002946377,0.00053014676],"about_ca_topic_score_codex":0.000009646368,"about_ca_topic_score_gemma":0.000030985124,"teacher_disagreement_score":0.6308336,"about_ca_system_score_codex":0.000072068266,"about_ca_system_score_gemma":0.00017291158,"threshold_uncertainty_score":0.99967325},"labels":[],"label_agreement":null},{"id":"W2511217879","doi":"10.4153/cmb-2017-008-8","title":"Generalized Torsion Elements and Bi-orderability of 3-manifold Groups","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Converse; Torsion (gastropod); Conjecture; Fibonacci number; Generator (circuit theory)","score_opus":0.035166991327281044,"score_gpt":0.2886457668307547,"score_spread":0.25347877550347364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511217879","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9830407,0.000056500194,0.00045592798,0.0039920853,0.00009102795,0.00031012547,0.000023712728,0.000021825446,0.012008125],"genre_scores_gemma":[0.9877088,0.000011660391,0.01037458,0.00018076834,0.000051829153,0.000015407011,0.0000029290097,0.000020760455,0.0016332878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986098,0.00006392302,0.000475342,0.0002680601,0.00018710787,0.00039576623],"domain_scores_gemma":[0.99824744,0.00029733157,0.00023282721,0.0007258798,0.000072980256,0.0004235314],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068304833,0.00017018203,0.00043777615,0.00014512913,0.0002993204,0.000055382458,0.0003533426,0.00014504926,0.011061701],"category_scores_gemma":[0.0033787484,0.00014710378,0.00007737256,0.000057990837,0.00023534018,0.00003243057,0.000116640855,0.00012857367,0.00037693736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008793209,0.00008877529,0.003103681,0.00030041786,0.00003901585,0.000017431832,0.00017678722,4.0672187e-8,0.00008083925,0.98438764,0.010638939,0.001157616],"study_design_scores_gemma":[0.00092534086,0.00009605085,0.0067602214,0.000080062346,0.00006226301,0.000025553563,0.00015121755,0.0000968689,0.00029425,0.97662026,0.014616685,0.0002712251],"about_ca_topic_score_codex":0.0016282416,"about_ca_topic_score_gemma":0.0014599438,"teacher_disagreement_score":0.010684764,"about_ca_system_score_codex":0.000060031405,"about_ca_system_score_gemma":0.00007393378,"threshold_uncertainty_score":0.9898423},"labels":[],"label_agreement":null},{"id":"W2511984658","doi":"10.4153/cmb-2015-084-2","title":"A Note on Quaternionic Hyperbolic Ideal Triangle Groups","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Ideal (ethics); Embedding; Invariant (physics); Pure mathematics; Tangent; Relatively hyperbolic group; Mathematical analysis; Hyperbolic manifold; Geometry; Hyperbolic function; Mathematical physics","score_opus":0.059340918922302845,"score_gpt":0.2931689251904158,"score_spread":0.23382800626811298,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511984658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76791376,0.0001910042,0.0046734894,0.037759528,0.0006661936,0.0009673988,0.000048570913,0.0003265757,0.18745351],"genre_scores_gemma":[0.98593163,0.0000027306596,0.0036666663,0.0020918231,0.00029804188,0.000052968593,0.000008366903,0.00006331897,0.007884432],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783826,0.00014722031,0.00049604446,0.0003577638,0.00037554975,0.0007851426],"domain_scores_gemma":[0.99693835,0.0009588044,0.00010408042,0.0005413747,0.000085388245,0.0013720045],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000926521,0.00027436976,0.0005580944,0.0004138142,0.00010803592,0.000055672448,0.00038349215,0.00023857981,0.00951493],"category_scores_gemma":[0.0049710623,0.00023288325,0.0001503221,0.00035829132,0.00013777122,0.000022879023,0.000048958795,0.00032382933,0.041816395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002344281,0.00012982899,0.000031967957,0.00005993962,0.000028009532,0.00015082846,0.0006117415,0.0000024259411,0.00000369141,0.8490807,0.14799993,0.0018775393],"study_design_scores_gemma":[0.0012316066,0.00024522597,0.00007102287,0.00006360281,0.000041216917,0.00013036844,0.00032156255,0.00012835982,0.000039949282,0.84411573,0.15325749,0.0003538385],"about_ca_topic_score_codex":0.0011285336,"about_ca_topic_score_gemma":0.001331611,"teacher_disagreement_score":0.21801792,"about_ca_system_score_codex":0.00034139154,"about_ca_system_score_gemma":0.0003855017,"threshold_uncertainty_score":0.9913905},"labels":[],"label_agreement":null},{"id":"W2512341735","doi":"10.1112/plms.12283","title":"The smallest positive eigenvalue of fibered hyperbolic 3‐manifolds","year":2019,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"European Research Council","keywords":"Fibered knot; Eigenvalues and eigenvectors; Operator (biology); Constant (computer programming); Fiber; Genus","score_opus":0.015444946573983343,"score_gpt":0.2486783327907731,"score_spread":0.23323338621678974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2512341735","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9839486,0.00015371773,0.000084219435,0.0012782413,0.00010423855,0.0006883356,0.000008684497,0.00003465624,0.0136993],"genre_scores_gemma":[0.98966676,0.00005007378,0.006372527,0.000100749916,0.00005371328,0.000020073234,3.9645263e-7,0.000031822125,0.0037038787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981654,0.000013782261,0.0006415439,0.00024221647,0.0005410017,0.00039601975],"domain_scores_gemma":[0.99734336,0.001402727,0.0005662829,0.0003029926,0.00031692826,0.000067726796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094845594,0.00022079484,0.00054954516,0.00002711888,0.00017765032,0.00002929589,0.00086799276,0.00018996531,0.00019385765],"category_scores_gemma":[0.00097590045,0.00011732633,0.000590814,0.00051495235,0.00043916295,0.000062528394,0.0004102738,0.00028353886,0.000043080763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025949377,0.0002153267,0.0031156824,0.00076578365,0.00021477295,8.181038e-8,0.002625031,6.4781943e-7,0.0096262535,0.97883415,0.0043330393,0.00024330307],"study_design_scores_gemma":[0.00070227636,0.00014861513,0.003664246,0.00020939641,0.00016774151,0.00002654244,0.0032562301,0.0004024844,0.038925316,0.9520296,0.0002570413,0.00021054209],"about_ca_topic_score_codex":0.000008447045,"about_ca_topic_score_gemma":5.606745e-7,"teacher_disagreement_score":0.029299062,"about_ca_system_score_codex":0.000043872406,"about_ca_system_score_gemma":0.000038691167,"threshold_uncertainty_score":0.47844288},"labels":[],"label_agreement":null},{"id":"W2523134281","doi":"10.1017/etds.2016.37","title":"Syzygy sequences of the -center problem","year":2016,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","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":"Hilbert's syzygy theorem; Mathematics; Combinatorics; Center (category theory); Pure mathematics; Crystallography","score_opus":0.013242760103526666,"score_gpt":0.25021088432090544,"score_spread":0.23696812421737878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2523134281","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98138326,0.000474723,0.013730016,0.00044838677,0.0004399236,0.0002508268,0.000023514996,0.000040634757,0.0032086996],"genre_scores_gemma":[0.99600226,0.000014031359,0.0000903869,0.000025615065,0.000054641485,0.000013382158,3.0414284e-7,0.000008195704,0.0037911865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987804,0.0004397486,0.00029034627,0.00016273813,0.00014303181,0.000183702],"domain_scores_gemma":[0.99832517,0.0012275109,0.00013683707,0.00022817179,0.000027299908,0.00005503701],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080651627,0.000101632206,0.0002345929,0.000040986495,0.000065308544,0.000008967488,0.00019365712,0.000097190736,0.00009061553],"category_scores_gemma":[0.0003437108,0.00004247343,0.00006663412,0.00011311,0.0004008828,0.000039918697,0.00008904827,0.00007032431,0.000012501717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002621863,0.000044216315,0.002525031,0.00009589976,0.000023263332,0.000001357136,0.000106382424,5.581456e-7,0.0010314813,0.9946583,0.0001429855,0.0013443391],"study_design_scores_gemma":[0.0006654581,0.000092793,0.0010419565,0.00032069374,0.00003185137,0.00011942527,0.00032014688,0.000047036512,0.00023040928,0.9954566,0.001535058,0.00013859736],"about_ca_topic_score_codex":0.000011892188,"about_ca_topic_score_gemma":0.0000032865569,"teacher_disagreement_score":0.014618982,"about_ca_system_score_codex":0.000018864364,"about_ca_system_score_gemma":0.000019374273,"threshold_uncertainty_score":0.17320162},"labels":[],"label_agreement":null},{"id":"W2523720522","doi":"10.1007/s10711-017-0285-2","title":"Schottky groups and maximal representations","year":2017,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hyperbolic geometry; Boundary (topology); Schottky diode; Automorphism; Differential geometry; Pure mathematics; Group (periodic table); Action (physics); Space (punctuation); Combinatorics; Discrete mathematics; Mathematical analysis; Physics; Quantum mechanics; Computer science","score_opus":0.07708381238950383,"score_gpt":0.36206430918817395,"score_spread":0.2849804967986701,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2523720522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9500762,0.00061760715,0.008605121,0.0061884406,0.0007430298,0.00036738254,0.00006479416,0.00013976023,0.03319765],"genre_scores_gemma":[0.9909718,0.00013747207,0.0067756157,0.0001132946,0.0002520893,0.000021706759,0.000024210933,0.000020344025,0.0016834842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858904,0.000040537627,0.00030784923,0.00040007808,0.00029868234,0.00036378848],"domain_scores_gemma":[0.9974803,0.00066573126,0.00029361746,0.0012849562,0.00006467245,0.00021074327],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007357115,0.00015087439,0.00029748527,0.0005900314,0.0006950078,0.00017761622,0.00067727413,0.000137782,0.0010363155],"category_scores_gemma":[0.011246357,0.00013559595,0.00006842279,0.0004286758,0.00039662732,0.00027636808,0.00050037465,0.00023330626,0.00013901289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007579182,0.00044630628,0.17466386,0.00016720932,0.0003614863,0.00015160687,0.0004679614,2.7857172e-7,0.00029127664,0.6122467,0.1306732,0.080454305],"study_design_scores_gemma":[0.002679647,0.0001455435,0.4121098,0.000031670334,0.00016387603,0.00018195432,0.00043441734,0.00005123542,0.00048102514,0.55741155,0.025862051,0.00044721024],"about_ca_topic_score_codex":0.000115790404,"about_ca_topic_score_gemma":0.00002110009,"teacher_disagreement_score":0.23744594,"about_ca_system_score_codex":0.000016617727,"about_ca_system_score_gemma":0.00003542862,"threshold_uncertainty_score":0.99987686},"labels":[],"label_agreement":null},{"id":"W2527109742","doi":"10.4153/cmb-2016-068-6","title":"Cokernels of Homomorphisms from Burnside Rings to Inverse Limits","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Homomorphism; Inverse limit; Inverse; Cartesian product; Combinatorics; Order (exchange); Prime (order theory); Pure mathematics; Geometry","score_opus":0.039164641544720914,"score_gpt":0.26094388375706407,"score_spread":0.22177924221234316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2527109742","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9443026,0.000040230334,0.009958944,0.019792804,0.00015657704,0.00045097605,0.00021732211,0.00007772744,0.02500278],"genre_scores_gemma":[0.9720418,0.000004346503,0.017838063,0.0013507209,0.00009720737,0.000028585519,0.0000027802814,0.00004516939,0.008591343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982384,0.000062857056,0.00053686835,0.00033336802,0.00025768453,0.0005708335],"domain_scores_gemma":[0.9964723,0.0017737129,0.00012878279,0.00054302916,0.00011208198,0.0009701205],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003469966,0.00022095117,0.00053648406,0.0003439547,0.000056319663,0.000015398284,0.0003910371,0.00018085385,0.04035065],"category_scores_gemma":[0.00481023,0.0001590316,0.00011824383,0.00029766627,0.00020137885,0.00002410661,0.00006500184,0.000114927054,0.015722033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020696021,0.00012360812,0.00041662026,0.00010970452,0.00012094049,0.00015374695,0.0007256036,5.171186e-7,0.00176285,0.7876746,0.20534238,0.0035486883],"study_design_scores_gemma":[0.0006764658,0.00011343791,0.000560271,0.00030641127,0.00007339249,0.000028839304,0.00019529271,0.0000064537708,0.004831107,0.9314192,0.06142815,0.00036097842],"about_ca_topic_score_codex":0.0024939405,"about_ca_topic_score_gemma":0.0018255681,"teacher_disagreement_score":0.14391424,"about_ca_system_score_codex":0.00014068854,"about_ca_system_score_gemma":0.00015419356,"threshold_uncertainty_score":0.98504436},"labels":[],"label_agreement":null},{"id":"W2527217833","doi":"10.4171/dm/558","title":"Concordance Invariance of Levine-Tristram Signatures of Links","year":2017,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Concordance; Mathematics; Signature (topology); Unit circle; Pure mathematics; Combinatorics; Geometry; Biology","score_opus":0.04843536628868057,"score_gpt":0.3537534298030653,"score_spread":0.30531806351438473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2527217833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9327719,0.00049674907,0.011045376,0.0012150132,0.00038247486,0.0007488258,0.0000539924,0.00007075187,0.053214878],"genre_scores_gemma":[0.9687576,0.000037854228,0.02888214,0.000040822368,0.000050278522,0.000016244965,0.0000021192145,0.000021279337,0.0021916374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984668,0.0000429798,0.00069701445,0.00022512421,0.00031774337,0.0002503417],"domain_scores_gemma":[0.99680454,0.0007116258,0.0011386857,0.0011682634,0.00010862911,0.000068257235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049554283,0.00018549542,0.0006573088,0.00010481269,0.0001217251,0.00003726826,0.00086654245,0.0001982868,0.00083660893],"category_scores_gemma":[0.0021562872,0.0001547093,0.0001408956,0.00011290454,0.00043468724,0.00018522784,0.00021397065,0.0002541179,0.000026942162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029592902,0.000379175,0.0011546214,0.0011989906,0.00014744312,0.00000891526,0.00064286595,8.311102e-7,0.0050753537,0.9849764,0.004984277,0.001401516],"study_design_scores_gemma":[0.0010199803,0.0001799123,0.0016575868,0.00033468805,0.0001094217,0.000015932044,0.0003292921,0.00008403776,0.048615567,0.94669354,0.00072817924,0.00023186389],"about_ca_topic_score_codex":0.000039326922,"about_ca_topic_score_gemma":0.0000057043594,"teacher_disagreement_score":0.05102324,"about_ca_system_score_codex":0.0000180341,"about_ca_system_score_gemma":0.000048829897,"threshold_uncertainty_score":0.9160281},"labels":[],"label_agreement":null},{"id":"W2527984589","doi":"10.4007/annals.2018.187.3.4","title":"Stability of the elliptic Harnack inequality","year":2018,"lang":"en","type":"preprint","venue":"Annals of Mathematics","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Harnack's inequality; Harnack's principle; Mathematics; Inequality; Stability (learning theory); Economics; Mathematical analysis; Computer science","score_opus":0.27744794658670685,"score_gpt":0.3972147780920902,"score_spread":0.11976683150538336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2527984589","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898236,0.00024450576,0.0038989068,0.0012684066,0.00050273683,0.0007031843,0.0001726873,0.000045742738,0.0033402669],"genre_scores_gemma":[0.98151016,0.00009110064,0.017793192,0.00011073194,0.00013091542,0.000019071258,0.0000053136127,0.000044792207,0.0002947238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966705,0.0002644606,0.0016671933,0.00035673482,0.00069020357,0.00035091693],"domain_scores_gemma":[0.99265677,0.0017561743,0.0022729137,0.0023934802,0.0008430213,0.00007762041],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002750372,0.00035640592,0.0012605448,0.00013570582,0.000054436245,0.00001367995,0.0012611975,0.0004636369,0.0005902141],"category_scores_gemma":[0.007013211,0.00023942628,0.0006045282,0.00038198492,0.0007541786,0.000033502536,0.0015170696,0.00052796846,0.0000225373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006825652,0.008671769,0.011124335,0.06335428,0.0020073296,0.000005466114,0.03036442,0.000027619724,0.00069911644,0.8357022,0.046530213,0.0014449907],"study_design_scores_gemma":[0.00014244864,0.00008321174,0.0010055213,0.0005418066,0.00015274913,0.0000041160797,0.00051713764,0.00020023403,0.033947375,0.9628757,0.00029482285,0.00023483478],"about_ca_topic_score_codex":0.000042832617,"about_ca_topic_score_gemma":0.000010560595,"teacher_disagreement_score":0.12717354,"about_ca_system_score_codex":0.000018783963,"about_ca_system_score_gemma":0.00020868715,"threshold_uncertainty_score":0.97635204},"labels":[],"label_agreement":null},{"id":"W2528445851","doi":"10.1007/s00031-016-9413-6","title":"PROPER AFFINE DEFORMATIONS OF THE ONE-HOLED TORUS","year":2016,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Ideal (ethics); Torus; Affine transformation; Homotopy; Pure mathematics; Surface (topology); Bounded function; Triangulation; Polyhedron; Manifold (fluid mechanics); Group (periodic table); Geometry; Combinatorics; Mathematical analysis; Physics","score_opus":0.04179197811105655,"score_gpt":0.26369052445399654,"score_spread":0.22189854634293998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2528445851","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80286384,0.000025048308,0.1655355,0.007463052,0.0003036214,0.00063479424,0.00003322387,0.00010274504,0.023038205],"genre_scores_gemma":[0.9977393,0.000012847403,0.00093650713,0.00007557755,0.00003377704,0.000026181193,0.0000024081426,0.000008985928,0.001164427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990568,0.00005101814,0.0004256834,0.00007204787,0.00022826799,0.00016618163],"domain_scores_gemma":[0.99935454,0.00014053026,0.0001328449,0.00025099775,0.00008718105,0.00003388177],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025460418,0.00009150179,0.0001585809,0.00010757822,0.00009461259,0.0000070552064,0.0002024003,0.00006895367,0.00058492],"category_scores_gemma":[0.00013187442,0.000044136672,0.00009607109,0.00034598252,0.00008777695,0.00032218124,0.000017327613,0.00006473715,0.00008680367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003322226,0.00022606448,0.0005250729,0.00018290304,0.000061079925,1.4192038e-7,0.0056303614,0.0000040655086,0.0052212127,0.9520706,0.0013648773,0.034680426],"study_design_scores_gemma":[0.010050956,0.0005036496,0.033843033,0.00052850443,0.00038927112,0.00008161843,0.0028177407,0.0003665023,0.1592913,0.7494899,0.04165085,0.0009866839],"about_ca_topic_score_codex":0.0000067156648,"about_ca_topic_score_gemma":0.000020633548,"teacher_disagreement_score":0.20258068,"about_ca_system_score_codex":0.000033594286,"about_ca_system_score_gemma":0.000028859773,"threshold_uncertainty_score":0.64044636},"labels":[],"label_agreement":null},{"id":"W2531071150","doi":"10.1080/00927872.2015.1065844","title":"On Fully Residually- Groups","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Geometric and Algebraic Topology","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":"Stallings theorem about ends of groups; Relatively hyperbolic group; Group (periodic table); Generalization; Finitely-generated abelian group; Profinite group; Embedding; Transitive relation; Iterated function; Homomorphism","score_opus":0.08017872741301683,"score_gpt":0.3508608076690773,"score_spread":0.27068208025606044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2531071150","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82696307,0.0008121972,0.006842022,0.04404478,0.00027413224,0.00054907566,0.000020639047,0.00034805742,0.120146014],"genre_scores_gemma":[0.9856626,0.00024052356,0.011224908,0.00043456786,0.00002489171,0.00006490289,0.00000403502,0.000021470812,0.0023221404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988423,0.00022518483,0.00034919387,0.00019238816,0.00014200847,0.00024891418],"domain_scores_gemma":[0.9939106,0.0034143575,0.000103611594,0.0024674118,0.00004899881,0.00005498241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000496284,0.00012225559,0.0001930563,0.00035200093,0.00011895464,0.000013235449,0.0012377506,0.00010517543,0.00045785308],"category_scores_gemma":[0.0021839987,0.00008686352,0.0000530428,0.00054835336,0.00024200576,0.000078289544,0.0004081415,0.000201823,0.0004897247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007718174,0.00019584315,0.001125736,0.0000046818277,0.000010393052,0.0000016691564,0.00013467771,9.414991e-8,0.000064577805,0.9747186,0.0078077023,0.015928352],"study_design_scores_gemma":[0.0006017228,0.000057353212,0.007489094,0.000067396955,0.00000755532,0.0000065850395,0.00008440118,0.0000062177255,0.00016006187,0.98269767,0.008684044,0.00013789514],"about_ca_topic_score_codex":0.000009375528,"about_ca_topic_score_gemma":0.00008988198,"teacher_disagreement_score":0.15869948,"about_ca_system_score_codex":0.00008313506,"about_ca_system_score_gemma":0.000039947125,"threshold_uncertainty_score":0.6294583},"labels":[],"label_agreement":null},{"id":"W2533550331","doi":"10.4153/cmb-2016-074-0","title":"Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Vertex (graph theory); Combinatorics; Cube (algebra); Cyclic group; Group (periodic table); Graph; Chemistry","score_opus":0.022418220231781954,"score_gpt":0.2473757706593886,"score_spread":0.22495755042760665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2533550331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8118848,0.00018962123,0.008065703,0.086882584,0.00038230995,0.0010850668,0.0006586776,0.00040841737,0.090442814],"genre_scores_gemma":[0.97500265,0.000013908841,0.004417106,0.0028286374,0.0002208873,0.00007399264,0.000015265654,0.000111604466,0.017315924],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99729866,0.00013592628,0.00058232585,0.0005224139,0.0004132458,0.0010474096],"domain_scores_gemma":[0.9954133,0.0022047458,0.0001361384,0.001124113,0.00006610853,0.0010556077],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00049647846,0.00039643416,0.00063454016,0.00034956424,0.00020413676,0.000053252177,0.0008742351,0.00029697217,0.04446284],"category_scores_gemma":[0.0036568213,0.00027485934,0.00018172435,0.00028792646,0.00035176097,0.000035886573,0.000104114646,0.0002181693,0.020779714],"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":[0.000007540964,0.000110882866,0.00007404364,0.00005965422,0.00004558471,0.000057018005,0.00009029713,4.2892065e-8,0.00043318872,0.48180598,0.5162221,0.0010936764],"study_design_scores_gemma":[0.0009647856,0.0001832797,0.00019233405,0.00015097867,0.0000486893,0.000069716225,0.00009836252,0.000007880026,0.00079080346,0.7722048,0.22479331,0.0004950284],"about_ca_topic_score_codex":0.0010780793,"about_ca_topic_score_gemma":0.0012567153,"teacher_disagreement_score":0.29142877,"about_ca_system_score_codex":0.00030620288,"about_ca_system_score_gemma":0.00014813239,"threshold_uncertainty_score":0.9999704},"labels":[],"label_agreement":null},{"id":"W2534598819","doi":"10.1093/imrn/rnx270","title":"Packing Curves on Surfaces with Few Intersections","year":2017,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"National Science Foundation","keywords":"Combinatorics; Genus; Circle packing; Mathematics; Degree (music); Surface (topology); Upper and lower bounds; Polynomial; Simple (philosophy); Zero (linguistics); Geometry; Mathematical analysis; Physics","score_opus":0.33079969606937876,"score_gpt":0.49536723642204067,"score_spread":0.1645675403526619,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2534598819","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70074004,0.0010894416,0.004778251,0.025612378,0.0037610203,0.002340696,0.00034001577,0.00044004855,0.26089814],"genre_scores_gemma":[0.9723698,0.00070963154,0.01501247,0.00011167077,0.00055282295,0.00022230792,0.000056736906,0.000103051876,0.010861501],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995362,0.00026028717,0.0006460873,0.0007376765,0.0023751187,0.00061882334],"domain_scores_gemma":[0.9911825,0.0052341227,0.0007956918,0.0013796826,0.0012384237,0.00016955624],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0028514124,0.00043296654,0.00067364826,0.0011589266,0.0004884059,0.00068297517,0.0024900027,0.0003182419,0.00089064037],"category_scores_gemma":[0.0089966245,0.00032705843,0.0001958203,0.00022016633,0.0006491533,0.00020652334,0.0016286768,0.0021253258,0.0002759538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000421036,0.0065974956,0.005786317,0.023240127,0.006709324,0.0007528739,0.013240945,0.002079979,0.00010170682,0.76965946,0.16576777,0.00564296],"study_design_scores_gemma":[0.0006745228,0.0004322524,0.0009692779,0.015056378,0.00015543377,0.00005945718,0.0024865957,0.0059524244,0.000483432,0.9675316,0.005412915,0.00078568904],"about_ca_topic_score_codex":0.00021141468,"about_ca_topic_score_gemma":0.0004261302,"teacher_disagreement_score":0.27162978,"about_ca_system_score_codex":0.00025932206,"about_ca_system_score_gemma":0.0003101798,"threshold_uncertainty_score":0.99991816},"labels":[],"label_agreement":null},{"id":"W2535664972","doi":"10.1090/jams/903","title":"Quantitative null-cobordism","year":2018,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Homotopy; Metric (unit); Upper and lower bounds; Product (mathematics); Degree (music); Simply connected space; Polynomial","score_opus":0.042844662563516885,"score_gpt":0.3561389596039189,"score_spread":0.313294297040402,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2535664972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8792555,0.00005887848,0.10653952,0.00880761,0.00035835747,0.00014566976,0.0000033714866,0.000028561826,0.0048025395],"genre_scores_gemma":[0.77063656,0.00001906553,0.22628486,0.0018221941,0.0004523985,0.0000021368644,6.118643e-8,0.000028147228,0.0007546029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832916,0.0001478843,0.000617654,0.000116598036,0.0004906787,0.0002980255],"domain_scores_gemma":[0.99660945,0.0014510498,0.0011912547,0.00033189633,0.0002956733,0.000120670695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009949042,0.0001555323,0.00058484107,0.000043850894,0.0001769443,0.000025063528,0.0006001862,0.000050036822,0.00034462774],"category_scores_gemma":[0.0023238813,0.0000839582,0.00069288386,0.0007551957,0.0015476532,0.000078879726,0.00015486375,0.0003674327,0.000084349274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114973824,0.00076463656,0.0009683637,0.00012193308,0.00089830393,0.000009480402,0.007985844,0.0000014966366,0.0017008401,0.7399772,0.24337976,0.0040771784],"study_design_scores_gemma":[0.00035283781,0.00072255504,0.0014868516,0.00006584048,0.00015799687,0.00020627886,0.0036219014,0.00043186266,0.0005324813,0.98958236,0.0026905837,0.00014847775],"about_ca_topic_score_codex":0.000005064384,"about_ca_topic_score_gemma":6.6529424e-7,"teacher_disagreement_score":0.24960515,"about_ca_system_score_codex":0.00006973936,"about_ca_system_score_gemma":0.00007950365,"threshold_uncertainty_score":0.5702393},"labels":[],"label_agreement":null},{"id":"W2538489698","doi":"10.1070/sm8489","title":"Volume formulae for fibred cone-manifolds with spherical geometry","year":2016,"lang":"en","type":"article","venue":"Sbornik Mathematics","topic":"Geometric and Algebraic Topology","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":"Fibration; Fibered knot; Cone (formal languages); Mathematics; Geometry; Manifold (fluid mechanics); Volume (thermodynamics); Mathematical analysis; Pure mathematics; Physics; Homotopy","score_opus":0.029468150753348916,"score_gpt":0.27834256206004665,"score_spread":0.24887441130669774,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2538489698","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17336252,0.000058213598,0.82005346,0.0014923146,0.0001988108,0.0009002208,0.000100764206,0.00031153025,0.0035221758],"genre_scores_gemma":[0.60467136,0.000011047146,0.3774659,0.00014480812,0.00022975834,0.00015106004,0.000008303317,0.0001260596,0.017191684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978885,0.00003021736,0.0006096193,0.00039316795,0.00038343298,0.0006950352],"domain_scores_gemma":[0.9963916,0.0021729218,0.0003488944,0.0006848688,0.00021020937,0.00019153253],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00046283836,0.00035133658,0.00068283227,0.00018011167,0.00013884503,0.000037646358,0.00038574776,0.00022463182,0.0009950853],"category_scores_gemma":[0.00179284,0.00020464517,0.00018008372,0.0004963457,0.00019562422,0.00014324643,0.000104106075,0.000114587165,0.00023946437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014605209,0.0009238554,0.0013918814,0.0013816159,0.00041578588,0.000042654145,0.0007804439,0.0000021408537,0.0012840579,0.92951,0.05448668,0.009634861],"study_design_scores_gemma":[0.003888164,0.0011624144,0.00038654724,0.0002593759,0.00031337878,0.00025147435,0.00077157863,0.00047578072,0.0027418693,0.9545598,0.034308434,0.0008812057],"about_ca_topic_score_codex":0.0000027133754,"about_ca_topic_score_gemma":0.000007720951,"teacher_disagreement_score":0.44258755,"about_ca_system_score_codex":0.00008203563,"about_ca_system_score_gemma":0.00008717332,"threshold_uncertainty_score":0.99991816},"labels":[],"label_agreement":null},{"id":"W2540032772","doi":"10.4153/cmb-2017-011-8","title":"On Subcritically Stein Fillable 5-manifolds","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Homotopy; Pure mathematics","score_opus":0.03623092774833848,"score_gpt":0.2907492739036408,"score_spread":0.25451834615530233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2540032772","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22001286,0.000036375037,0.0017371734,0.040160142,0.0003328813,0.0005082527,0.000053951186,0.00014096498,0.7370174],"genre_scores_gemma":[0.9554376,0.0000027571575,0.0045504454,0.0017436993,0.00014146298,0.00003315766,0.0000034318678,0.000053823576,0.038033597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799883,0.00006036877,0.00039388257,0.00038326162,0.000306854,0.00085682055],"domain_scores_gemma":[0.9964478,0.0011659847,0.00011616696,0.0012830271,0.00009376762,0.00089322566],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005759201,0.00026169073,0.00045806693,0.00022860024,0.00067027065,0.00022390559,0.00081552326,0.0002405634,0.064442195],"category_scores_gemma":[0.010635587,0.00023087343,0.00013428416,0.000082400424,0.00031057163,0.000036749938,0.00009147427,0.00030294422,0.03280894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005168562,0.00006137087,0.000031399773,0.00007213579,0.000020199619,0.00015782595,0.000040854877,1.8006509e-7,0.0000053756894,0.86936647,0.12974615,0.0004928494],"study_design_scores_gemma":[0.00040859284,0.00012244146,0.0002731397,0.00009326412,0.000031040563,0.000048605987,0.00006924354,0.000040925035,0.00009034041,0.92323524,0.075284585,0.00030255914],"about_ca_topic_score_codex":0.0010312883,"about_ca_topic_score_gemma":0.0013478247,"teacher_disagreement_score":0.73542476,"about_ca_system_score_codex":0.00014013094,"about_ca_system_score_gemma":0.00017833218,"threshold_uncertainty_score":0.99769825},"labels":[],"label_agreement":null},{"id":"W2542972671","doi":"10.1017/fms.2020.3","title":"COARSE AND FINE GEOMETRY OF THE THURSTON METRIC","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; University of Oklahoma; American Institute of Mathematics; National Science Foundation","keywords":"Geodesic; Torus; Mathematics; Metric (unit); Teichmüller space; Surface (topology); Geometry; Focus (optics); Metric space; Infinitesimal; Space (punctuation); Intrinsic metric; Pure mathematics; Mathematical analysis; Injective metric space; Riemann surface; Physics; Computer science","score_opus":0.03421918085619116,"score_gpt":0.26406726518064333,"score_spread":0.22984808432445217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2542972671","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9751513,0.0007377829,0.016205924,0.0039599277,0.00013618404,0.00045753428,0.000042288513,0.000046342233,0.003262692],"genre_scores_gemma":[0.9746867,0.000018374452,0.024798095,0.00012214849,0.000026433177,0.0000046876235,9.914781e-7,0.000023620336,0.00031895874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986297,0.000039069884,0.0005817559,0.00016851934,0.00035101656,0.00022995714],"domain_scores_gemma":[0.9977955,0.0011363704,0.00050528895,0.00039357223,0.00008562326,0.00008364191],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033994453,0.0001603619,0.0005372184,0.00019642913,0.000050945662,0.000006610125,0.00037530548,0.00010766476,0.00020775858],"category_scores_gemma":[0.0034095345,0.00010588954,0.00014412381,0.0012633932,0.0002169799,0.00004417083,0.00030101,0.00015165326,0.0000069736398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034378576,0.00093010574,0.008118123,0.0039961697,0.00032875777,0.000005455123,0.005090967,0.000025361069,0.0028521717,0.94979686,0.020597823,0.008223818],"study_design_scores_gemma":[0.0022943295,0.00091115973,0.0016719014,0.00027423396,0.0004943985,0.00006386149,0.0064782514,0.0063453377,0.05215736,0.9268468,0.0019217164,0.0005406754],"about_ca_topic_score_codex":0.000008150534,"about_ca_topic_score_gemma":0.0000052266478,"teacher_disagreement_score":0.04930519,"about_ca_system_score_codex":0.000009168618,"about_ca_system_score_gemma":0.000031375053,"threshold_uncertainty_score":0.431805},"labels":[],"label_agreement":null},{"id":"W2550372858","doi":"10.4171/lem/62-3/4-6","title":"Rational approximation and Lagrangian inclusions","year":2017,"lang":"fr","type":"preprint","venue":"L’Enseignement Mathématique","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Intersection (aeronautics); Lagrangian; Mathematics; Limit (mathematics); Regular polygon; Rational function; Function (biology); Sequence (biology); Convex function; Combinatorics; Pure mathematics; Complex plane; Transverse plane; Surface (topology); Mathematical analysis; Geometry","score_opus":0.028414169174245656,"score_gpt":0.28733808527927107,"score_spread":0.2589239161050254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2550372858","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4791944,0.004723453,0.28459707,0.054355413,0.004540122,0.0070292633,0.00073058635,0.00058038085,0.16424929],"genre_scores_gemma":[0.8440602,0.00161921,0.12092573,0.0008416243,0.0009009471,0.0006268585,0.0006876724,0.0001598878,0.030177917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99600166,0.00037452366,0.0012403554,0.00095320435,0.00071664446,0.00071363774],"domain_scores_gemma":[0.995899,0.000672865,0.0014182356,0.001392509,0.00030567177,0.0003116953],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013904198,0.00078690355,0.0010577275,0.0004623013,0.001457482,0.00038889635,0.0007354658,0.0010592875,0.0022997952],"category_scores_gemma":[0.001177096,0.0007868389,0.0002717256,0.00017666034,0.00050587027,0.0002651697,0.0021655373,0.0009950656,0.00037771428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022172222,0.0005162887,0.00023590145,0.0019113995,0.0002959084,0.00004049721,0.0075102835,0.000053155323,0.0002667894,0.96641517,0.015387005,0.0073454026],"study_design_scores_gemma":[0.0013862213,0.00018862014,0.014259163,0.0010359681,0.00046630728,0.00017835728,0.0010875674,0.0074202665,0.00033771523,0.9413249,0.031227259,0.0010876869],"about_ca_topic_score_codex":0.00027725144,"about_ca_topic_score_gemma":0.00039840682,"teacher_disagreement_score":0.36486575,"about_ca_system_score_codex":0.00032296363,"about_ca_system_score_gemma":0.00043252355,"threshold_uncertainty_score":0.99984246},"labels":[],"label_agreement":null},{"id":"W2554828541","doi":"10.1016/j.aim.2018.10.026","title":"Maximal subgroups of groups of intermediate growth","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":21,"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; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Alexander von Humboldt-Stiftung","keywords":"Mathematics; Conjugacy class; Iterated function; Congruence subgroup; Finitely generated group; Combinatorics; Torsion (gastropod); Finitely-generated abelian group; Locally finite group; Congruence (geometry); Group (periodic table); Pure mathematics; Abelian group; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.019753090145193383,"score_gpt":0.3056514070445802,"score_spread":0.28589831689938683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2554828541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95743257,0.00046385685,0.027926238,0.000030352288,0.00031322276,0.00021414694,0.000011417007,0.000035332952,0.013572878],"genre_scores_gemma":[0.93448913,0.00020251289,0.06506344,0.000014279466,0.00007356903,0.00000919985,0.0000013767182,0.000022197355,0.00012427168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984409,0.0000404301,0.0008149374,0.00017696753,0.00025469417,0.00027207352],"domain_scores_gemma":[0.9980113,0.0009155098,0.000512326,0.00035485325,0.00016441397,0.00004160554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004938275,0.00016254968,0.0005631459,0.00031980037,0.000020576064,0.0000033042984,0.00037449814,0.000094276904,0.00024942865],"category_scores_gemma":[0.0014757812,0.00013767256,0.00008454963,0.00063277624,0.0005789925,0.0001774912,0.00012918263,0.00012417739,0.000019509827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030000914,0.0005728275,0.008489281,0.0014426872,0.00003021744,0.0000075307116,0.003065607,9.658919e-7,0.00032220362,0.9825284,0.000102738944,0.0034075542],"study_design_scores_gemma":[0.0004767971,0.00025992034,0.0017992536,0.00017517591,0.000025341451,0.000014971467,0.0010009066,0.00019463268,0.006323983,0.9894827,0.000109476685,0.00013685862],"about_ca_topic_score_codex":0.0000048591683,"about_ca_topic_score_gemma":0.000028308845,"teacher_disagreement_score":0.0371372,"about_ca_system_score_codex":0.000021505202,"about_ca_system_score_gemma":0.000021200314,"threshold_uncertainty_score":0.5614124},"labels":[],"label_agreement":null},{"id":"W2557074210","doi":"10.1142/s0129167x1650107x","title":"Contact non-squeezing at large scale in ℝ2n × S1","year":2016,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Tel Aviv University","keywords":"Mathematics; Equivariant map; Sheaf; Homology (biology); Closure (psychology); Pure mathematics; Combinatorics","score_opus":0.024393056004919637,"score_gpt":0.3167055386378655,"score_spread":0.29231248263294585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2557074210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93315923,0.000048511694,0.06149939,0.0018240443,0.00077980483,0.000087269465,0.00001683312,0.000012875155,0.0025720363],"genre_scores_gemma":[0.97486115,0.00006277531,0.023148235,0.00011668244,0.0002797525,0.0000024531273,8.388741e-7,0.000022771996,0.0015053485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981485,0.00003923641,0.0008801503,0.000108595275,0.00058077514,0.00024276967],"domain_scores_gemma":[0.9976512,0.0010773141,0.0007027372,0.00015967456,0.00032447415,0.00008458961],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008675319,0.00013903635,0.00037460885,0.00047380454,0.000028050144,0.000022542947,0.00052888127,0.00009367602,0.0010826834],"category_scores_gemma":[0.0013238088,0.00008867265,0.00016316664,0.00013687517,0.000037983616,0.00018680822,0.00015122077,0.00015652392,0.0001858745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00050972606,0.0076714526,0.19545425,0.00051943737,0.0018858293,0.0023578485,0.021217383,0.00002076686,0.037208237,0.64426357,0.06503814,0.023853354],"study_design_scores_gemma":[0.011154443,0.0004376477,0.007777532,0.0023586687,0.00012011769,0.0035874776,0.0028778648,0.000771149,0.014975199,0.94107074,0.014206504,0.00066267],"about_ca_topic_score_codex":0.0000029236473,"about_ca_topic_score_gemma":0.000033206925,"teacher_disagreement_score":0.29680714,"about_ca_system_score_codex":0.00027999125,"about_ca_system_score_gemma":0.00005920371,"threshold_uncertainty_score":0.9998305},"labels":[],"label_agreement":null},{"id":"W2559657499","doi":"10.4213/sm8489","title":"Формулы объемов расслоенных конических многообразий со сферической геометрией","year":2016,"lang":"ru","type":"article","venue":"Математический сборник","topic":"Geometric and Algebraic Topology","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":"Materials science","score_opus":0.03532129237131579,"score_gpt":0.28613297822062417,"score_spread":0.25081168584930835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2559657499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5173926,0.02739306,0.05259687,0.11830351,0.024705062,0.007146971,0.0027658795,0.0046003778,0.24509567],"genre_scores_gemma":[0.8024138,0.00230222,0.0058313757,0.0025035322,0.0033739998,0.00019854223,0.00004719772,0.000584779,0.18274455],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9867395,0.00086985703,0.0031111222,0.0029505137,0.0021225947,0.0042064223],"domain_scores_gemma":[0.98668915,0.003713383,0.0015858898,0.005660025,0.0007635319,0.0015880252],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0022642522,0.0022559625,0.002881535,0.0017300451,0.0009000643,0.00035715773,0.0038486407,0.0020327007,0.031806305],"category_scores_gemma":[0.0054716486,0.0017188312,0.0013504074,0.0027970572,0.0016356208,0.0009129252,0.0021821747,0.0014790552,0.02593494],"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":[0.0005404056,0.0032942384,0.0103875,0.0013180159,0.0020350856,0.00096985267,0.002405776,0.00000901172,0.00859135,0.30119267,0.3586385,0.31061763],"study_design_scores_gemma":[0.013657417,0.0021726873,0.017411577,0.0022587297,0.0018487788,0.00073926547,0.0019934033,0.00019667715,0.011765041,0.4727821,0.46911687,0.0060574603],"about_ca_topic_score_codex":0.00031593404,"about_ca_topic_score_gemma":0.00026826753,"teacher_disagreement_score":0.30456015,"about_ca_system_score_codex":0.0008442943,"about_ca_system_score_gemma":0.00096287904,"threshold_uncertainty_score":0.99926287},"labels":[],"label_agreement":null},{"id":"W2562114859","doi":"10.1090/tran/7152","title":"Detecting geometric splittings in finitely presented groups","year":2016,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Constant (computer programming); Presentation (obstetrics); Word problem (mathematics education); Word (group theory); Group (periodic table)","score_opus":0.029462294611589685,"score_gpt":0.2893057558262771,"score_spread":0.25984346121468743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2562114859","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66669774,0.000013797483,0.33111787,0.001464494,0.00004158322,0.00020992322,0.000008125795,0.000058680944,0.00038781532],"genre_scores_gemma":[0.9722023,0.000023296645,0.026933646,0.0000759509,0.00002265683,0.000030193365,9.844085e-8,0.000026160727,0.00068570266],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982909,0.00012123653,0.000598049,0.00024650237,0.00034158505,0.00040173435],"domain_scores_gemma":[0.9949704,0.004006746,0.00038705222,0.0004992892,0.00006240708,0.00007414101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065790286,0.00017745067,0.0005113894,0.00016430469,0.000118671196,0.000008962954,0.00044568695,0.00007271555,0.0003277939],"category_scores_gemma":[0.0014472498,0.00009916008,0.00049116684,0.0027422183,0.00071410806,0.000083461804,0.000043263717,0.0002567665,0.000023537565],"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":[0.00049405877,0.011255029,0.04864701,0.0039671916,0.0028934437,0.000017457327,0.022512466,0.00019236808,0.04965368,0.22293107,0.005423835,0.63201237],"study_design_scores_gemma":[0.0024271319,0.00043034385,0.024438709,0.00047147978,0.0003216414,0.000078538746,0.0065924223,0.001234091,0.016627187,0.9463574,0.00030399748,0.00071704097],"about_ca_topic_score_codex":0.00007202023,"about_ca_topic_score_gemma":0.000007544666,"teacher_disagreement_score":0.72342634,"about_ca_system_score_codex":0.000087631786,"about_ca_system_score_gemma":0.0000331303,"threshold_uncertainty_score":0.4043631},"labels":[],"label_agreement":null},{"id":"W2570860517","doi":"10.1007/s12188-016-0169-7","title":"Invariant subsets of scattered trees and the tree alternative property of Bonato and Tardif","year":2017,"lang":"de","type":"article","venue":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","topic":"Geometric and Algebraic Topology","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 Calgary","funders":"","keywords":"Mathematics; Combinatorics; Tree (set theory); Conjecture; Binary tree; Invariant (physics); Vertex (graph theory); Range tree; K-ary tree; Discrete mathematics; Tree structure; Graph","score_opus":0.02673695210495726,"score_gpt":0.255267433367127,"score_spread":0.22853048126216974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2570860517","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93193173,0.043481212,0.0047698244,0.0045730663,0.0005229724,0.0025255943,0.00032271596,0.00005463734,0.011818258],"genre_scores_gemma":[0.98586977,0.0028545181,0.003637594,0.000047496796,0.00011027678,0.00001233576,0.000010419137,0.00006121853,0.0073963725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99697775,0.00036982953,0.0008871039,0.0006690062,0.00054713286,0.00054918113],"domain_scores_gemma":[0.9945232,0.0015502636,0.001973175,0.0014182104,0.00030520596,0.00022989901],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0013397854,0.00059096114,0.0016456833,0.00036950636,0.0006610581,0.00013433943,0.0011309827,0.0003763477,0.00023934334],"category_scores_gemma":[0.0008883415,0.00037623852,0.00027089776,0.00023382613,0.0030334839,0.0007218694,0.0012266341,0.0003891743,0.000027325103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004443154,0.0024186706,0.01768294,0.00775403,0.030953422,0.0010994948,0.180874,0.000008421084,0.006012254,0.6767396,0.023491153,0.048522882],"study_design_scores_gemma":[0.07801015,0.0034408814,0.039625704,0.010767784,0.04989006,0.0018601546,0.054327793,0.013862585,0.062160686,0.66006434,0.019967815,0.006022031],"about_ca_topic_score_codex":0.0009195137,"about_ca_topic_score_gemma":0.0001652513,"teacher_disagreement_score":0.1265462,"about_ca_system_score_codex":0.000057577454,"about_ca_system_score_gemma":0.00013794932,"threshold_uncertainty_score":0.9998689},"labels":[],"label_agreement":null},{"id":"W2574885958","doi":"10.1017/etds.2019.5","title":"Hyperfiniteness of boundary actions of cubulated hyperbolic groups","year":2019,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Boundary (topology); Action (physics); Relatively hyperbolic group; Hyperbolic group; Group (periodic table); Hyperbolic manifold; Hyperbolic triangle","score_opus":0.018389149743823323,"score_gpt":0.26870919283772243,"score_spread":0.2503200430938991,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2574885958","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9929555,0.00073699735,0.0030398106,0.000021244596,0.0005298283,0.0002339937,0.000024328292,0.00004070483,0.0024175746],"genre_scores_gemma":[0.99852383,0.00002260546,0.00008785015,0.000010380107,0.000041363295,0.000007513288,0.0000067142873,0.00001615366,0.0012835865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867684,0.00031996847,0.0004591467,0.00019408246,0.00016006781,0.0001899227],"domain_scores_gemma":[0.9978922,0.001475634,0.00020496755,0.00029349342,0.000060158458,0.00007353358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074203085,0.0001321075,0.0005268178,0.00017091025,0.00005129444,0.000009248778,0.00013699426,0.00017560627,0.00016960164],"category_scores_gemma":[0.00029849578,0.000103552724,0.00008380482,0.0003167088,0.00025953728,0.000055839675,0.0000630048,0.00014564743,0.000021034224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011681062,0.00014402598,0.0038101538,0.00044793243,0.000086053595,0.0000020456564,0.00025880217,0.000029825796,0.003147072,0.99142694,0.00001935234,0.0005109731],"study_design_scores_gemma":[0.0030576405,0.0008057575,0.020945877,0.00051288365,0.00030427575,0.00037994963,0.0050781257,0.0055964696,0.00068979565,0.9600518,0.0019200114,0.0006574383],"about_ca_topic_score_codex":0.0000452116,"about_ca_topic_score_gemma":0.000001978871,"teacher_disagreement_score":0.031375177,"about_ca_system_score_codex":0.00001667817,"about_ca_system_score_gemma":0.000035264697,"threshold_uncertainty_score":0.42227575},"labels":[],"label_agreement":null},{"id":"W2579421887","doi":"10.48550/arxiv.1701.03483","title":"An invitation to Alexandrov geometry: CAT(0) spaces","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"","keywords":"Geometry; Regular polygon; Euclidean geometry; Space (punctuation); Convex geometry; Stochastic geometry; Mathematics; Euclidean space; Pure mathematics; Computer science; Convex set; Convex optimization; Statistics","score_opus":0.14708615987263443,"score_gpt":0.2596904857998504,"score_spread":0.11260432592721595,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2579421887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94471693,0.000027016824,0.04970228,0.0003523249,0.0006529414,0.00041257753,0.000048751644,0.00017963625,0.0039075306],"genre_scores_gemma":[0.988733,0.000054646203,0.0033477768,0.0001356962,0.00018502267,0.000001859612,0.000044686898,0.000039885468,0.007457457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817485,0.00013353695,0.0002140582,0.0009432875,0.00011241099,0.0004218454],"domain_scores_gemma":[0.9971753,0.0002684018,0.00041825138,0.0016291677,0.00018146451,0.00032742426],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039853892,0.0003528134,0.0005306708,0.00090922776,0.00027324975,0.00013354744,0.0012200465,0.00047534215,0.00024682985],"category_scores_gemma":[0.0006668139,0.00039838767,0.00016861309,0.0004961249,0.00014590968,0.00022113012,0.00075654255,0.00039006284,0.00024470993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002078233,0.0008260477,0.0303797,0.00066625036,0.00059097214,0.00078051776,0.0024695888,0.020091878,0.00019198464,0.92025524,0.019736458,0.0038035288],"study_design_scores_gemma":[0.0009992403,0.00035818695,0.008697213,0.0001517173,0.0004199362,0.000012310027,0.0012780359,0.008503021,0.00021003254,0.97445965,0.0037331267,0.0011775404],"about_ca_topic_score_codex":0.00053046143,"about_ca_topic_score_gemma":0.0002916281,"teacher_disagreement_score":0.05420439,"about_ca_system_score_codex":0.00017966022,"about_ca_system_score_gemma":0.00014968253,"threshold_uncertainty_score":0.9998468},"labels":[],"label_agreement":null},{"id":"W2581877947","doi":"10.4153/cmb-2017-052-5","title":"Growth Rates of 3-dimensional Hyperbolic Coxeter Groups are Perron Numbers","year":2017,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Coxeter group; Mathematics; Polyhedron; Combinatorics; PARRY; Hyperbolic triangle; Dihedral group; Point group; Hyperbolic geometry; Pure mathematics; Group (periodic table); Physics; Differential geometry; Computer science","score_opus":0.050682894064339394,"score_gpt":0.2986017307625893,"score_spread":0.24791883669824988,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2581877947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92261875,0.00057724916,0.0005650037,0.022857977,0.0009819417,0.0013360962,0.00049217313,0.00013326762,0.050437532],"genre_scores_gemma":[0.98418534,0.000019624793,0.007258603,0.00057456794,0.0002851911,0.00008667842,0.000052034837,0.000116677795,0.0074213124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969021,0.0001583905,0.00089984044,0.00069101603,0.0004970681,0.0008515611],"domain_scores_gemma":[0.9956191,0.0010960835,0.0007893179,0.0013121689,0.0003153857,0.00086795544],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007177368,0.00058626453,0.0014551069,0.0005123351,0.00023516093,0.000090167,0.0010629847,0.00085637986,0.020617094],"category_scores_gemma":[0.0051573105,0.0005317928,0.00042989885,0.0001162884,0.00063262647,0.000024798697,0.000510097,0.00097572984,0.0034161815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038823295,0.0004457531,0.0014334267,0.0053445254,0.00056536606,0.0004905837,0.0011557855,0.000008721582,0.000025607726,0.6448402,0.34532827,0.0003229321],"study_design_scores_gemma":[0.00053793733,0.000047046095,0.0010873975,0.0009692064,0.00023076283,0.00012016292,0.00027851862,0.00010957543,0.00015186891,0.9877848,0.007929673,0.0007530568],"about_ca_topic_score_codex":0.0033657292,"about_ca_topic_score_gemma":0.002128137,"teacher_disagreement_score":0.3429446,"about_ca_system_score_codex":0.00022737062,"about_ca_system_score_gemma":0.00059010787,"threshold_uncertainty_score":0.99971336},"labels":[],"label_agreement":null},{"id":"W2585169510","doi":"10.4064/dm785-3-2018","title":"Alexander invariants of periodic virtual knots","year":2018,"lang":"it","type":"article","venue":"Dissertationes Mathematicae","topic":"Geometric and Algebraic Topology","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; Braid; Quotient; Knot theory; Knot (papermaking); Periodic orbits; Pure mathematics; Tricolorability; Connected sum; Skein relation; Combinatorics; Mathematical analysis","score_opus":0.03198810205888632,"score_gpt":0.3124780939562573,"score_spread":0.280489991897371,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2585169510","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9450119,0.00020956369,0.02694211,0.00047291766,0.00072599953,0.00066218135,0.000034102464,0.00009880917,0.02584242],"genre_scores_gemma":[0.9731732,0.000027866012,0.007977733,0.00009203551,0.0002297015,0.00003630149,0.000024549416,0.000080732076,0.018357854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99670875,0.00015792903,0.0014033265,0.0005224764,0.00061400805,0.000593499],"domain_scores_gemma":[0.99622613,0.0012721649,0.0008450174,0.0008629535,0.00057943404,0.00021427905],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006050234,0.00047037273,0.0009928626,0.0004654249,0.00028956978,0.000073517345,0.00055058935,0.00033181708,0.015161196],"category_scores_gemma":[0.0026345574,0.00042059793,0.0002506156,0.0011052813,0.000735114,0.00023548388,0.00011907186,0.00021437254,0.0022282084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100551864,0.0013384315,0.00092767255,0.0009829951,0.00042263398,0.0000113691685,0.034140207,0.0000024292617,0.0035090998,0.9547466,0.0015077824,0.0023102127],"study_design_scores_gemma":[0.0053604157,0.0031744803,0.05746018,0.0022199084,0.00183686,0.00019470073,0.08113223,0.0070877085,0.04031704,0.7977673,0.0010050781,0.0024440943],"about_ca_topic_score_codex":0.00002904139,"about_ca_topic_score_gemma":0.00002974208,"teacher_disagreement_score":0.15697931,"about_ca_system_score_codex":0.000035136552,"about_ca_system_score_gemma":0.00018434605,"threshold_uncertainty_score":0.9998246},"labels":[],"label_agreement":null},{"id":"W2586114551","doi":"10.1090/tran/6852","title":"The fundamental theorem of cubical small cancellation theory","year":2015,"lang":"lv","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Discrete mathematics","score_opus":0.0364739054348256,"score_gpt":0.29438901327209105,"score_spread":0.25791510783726546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2586114551","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46188,0.00084249163,0.5230276,0.0042072027,0.0009618716,0.0022047348,0.0004172534,0.00011110367,0.006347756],"genre_scores_gemma":[0.975826,0.00057224656,0.019385483,0.000111668465,0.00012584716,0.00008770584,0.0000058648734,0.00009039175,0.0037947688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99494666,0.0010132205,0.0017874225,0.00055071415,0.0010065233,0.00069543626],"domain_scores_gemma":[0.9883992,0.0065812026,0.0024332935,0.0019282498,0.0004355847,0.00022247255],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0033975407,0.0006231399,0.0016637535,0.000070675815,0.00057752867,0.000051522355,0.0018211018,0.00037501886,0.00060455076],"category_scores_gemma":[0.0007459342,0.00036203838,0.00224671,0.0010961995,0.007643409,0.000047918,0.00031356188,0.0014760375,0.00004129526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00086220197,0.0044500493,0.00039934102,0.004283241,0.0067662457,0.0000015556126,0.031656537,0.002728866,0.0012075314,0.8931338,0.0041270186,0.05038359],"study_design_scores_gemma":[0.00065609696,0.00032878306,0.0004054944,0.00035343098,0.0015928289,0.00002897794,0.021857997,0.0051405234,0.0015229249,0.96709126,0.000566178,0.00045552067],"about_ca_topic_score_codex":0.00025023447,"about_ca_topic_score_gemma":0.000033950317,"teacher_disagreement_score":0.51394606,"about_ca_system_score_codex":0.00035575355,"about_ca_system_score_gemma":0.0005819743,"threshold_uncertainty_score":0.9998832},"labels":[],"label_agreement":null},{"id":"W2591225889","doi":"10.1007/jhep11(2017)060","title":"Spinning geodesic Witten diagrams","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Geodesic; Formalism (music); Conformal map; Anti-de Sitter space; Connection (principal bundle); Boundary (topology); Spinning; Conformal field theory; Spin connection","score_opus":0.039384966459253885,"score_gpt":0.293085324409408,"score_spread":0.2537003579501541,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2591225889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75477815,0.00020208413,0.2384598,0.001275037,0.001315243,0.000030362602,0.0000019385761,0.000025040488,0.00391235],"genre_scores_gemma":[0.99173623,0.00005633347,0.0057148095,0.00012577776,0.0013460509,0.000001016113,6.3150515e-7,0.000022797863,0.0009963379],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989815,0.000034613415,0.0003619648,0.000102729515,0.0002839366,0.00023530531],"domain_scores_gemma":[0.99806803,0.00017973698,0.0010711764,0.00041664182,0.00016604904,0.00009839012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023960834,0.00013720753,0.0003971576,0.000079245634,0.00024545894,0.0000776553,0.0005283024,0.00007373215,0.00003464868],"category_scores_gemma":[0.00033828884,0.00010545136,0.00017325887,0.000090850794,0.00011930618,0.00026941716,0.00009804602,0.0002090741,0.0000070903875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014529401,0.00011771788,0.00091208983,0.000012358423,0.00012244472,0.0000713909,0.00006921378,0.00003500017,0.00006899442,0.9673614,0.0038019076,0.027412966],"study_design_scores_gemma":[0.0005956465,0.00015056416,0.0046557616,0.00004109859,0.00007596095,0.00006692145,0.000033661967,0.000024291468,0.0019572934,0.98999345,0.0022750224,0.00013032957],"about_ca_topic_score_codex":0.00007237882,"about_ca_topic_score_gemma":0.000006297551,"teacher_disagreement_score":0.2369581,"about_ca_system_score_codex":0.00003166783,"about_ca_system_score_gemma":0.00005525685,"threshold_uncertainty_score":0.4300182},"labels":[],"label_agreement":null},{"id":"W2591601825","doi":"10.1007/s00039-015-0320-0","title":"Arcs intersecting at most once","year":2015,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pairwise comparison; Cardinality (data modeling); Combinatorics; Euler characteristic; Set (abstract data type); Bounded function; Surface (topology); Simple (philosophy); Polynomial; Boundary (topology); Euler's formula; Jordan curve theorem; Discrete mathematics; Geometry; Mathematical analysis","score_opus":0.08443067350045641,"score_gpt":0.2840017176295363,"score_spread":0.1995710441290799,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2591601825","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8857279,0.0020525153,0.10158995,0.00055496953,0.00045349146,0.00007069921,0.000015570793,0.00011894962,0.009415957],"genre_scores_gemma":[0.98397785,0.000027180937,0.0014316172,0.00014440203,0.0001970771,0.0000072005973,0.000026189511,0.000011010631,0.014177454],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987318,0.000036256442,0.00028443444,0.00033956082,0.00035936685,0.00024856802],"domain_scores_gemma":[0.99871814,0.0006644689,0.000100767815,0.00016975186,0.00015066806,0.00019619205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059173605,0.00014575013,0.00033181018,0.0025965895,0.00013135729,0.000038097798,0.000073181225,0.00008581577,0.0006915518],"category_scores_gemma":[0.0013794203,0.00011739515,0.00016430444,0.010445017,0.00007840771,0.00007598934,0.00017664114,0.00014805037,0.00019027092],"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":[0.00030541443,0.00058925257,0.6012843,0.00022124768,0.013748716,0.00013455117,0.0020756505,0.0019137907,0.000080451515,0.13604738,0.17825268,0.06534656],"study_design_scores_gemma":[0.0048218775,0.0011392302,0.22414114,0.00006031577,0.019255562,0.00082663936,0.015422345,0.03358385,0.00032805942,0.579165,0.11845758,0.0027984516],"about_ca_topic_score_codex":0.00012421016,"about_ca_topic_score_gemma":0.00005195973,"teacher_disagreement_score":0.4431176,"about_ca_system_score_codex":0.0001209875,"about_ca_system_score_gemma":0.000032485277,"threshold_uncertainty_score":0.75720066},"labels":[],"label_agreement":null},{"id":"W2592697473","doi":"10.5802/tsg.314","title":"A note on the relation between Hartnell’s firefighter problem and growth of groups","year":2018,"lang":"en","type":"article","venue":"Séminaire de théorie spectrale et géométrie","topic":"Geometric and Algebraic Topology","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":"Combinatorics; Mathematics; Vertex (graph theory); Converse; Containment (computer programming); Discrete mathematics; Polynomial; Graph; Equivalence relation; Time complexity; Computer science","score_opus":0.02403686405307584,"score_gpt":0.2882860536017204,"score_spread":0.2642491895486445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592697473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9458311,0.000041539028,0.0057296166,0.012005621,0.00013028846,0.00048383753,0.000020855603,0.00010317416,0.035653967],"genre_scores_gemma":[0.9940459,0.000027044118,0.0039305934,0.00022448659,0.0003931187,0.000018930345,0.000006715893,0.000034700723,0.0013185123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983971,0.0001990873,0.00039877094,0.0003227476,0.0002773847,0.00040487855],"domain_scores_gemma":[0.9977768,0.0013712635,0.0002486677,0.0003992071,0.000108778695,0.00009525643],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009800257,0.00022614963,0.0003503792,0.00017885877,0.00017550956,0.000027413209,0.00024443195,0.00018887394,0.00026442937],"category_scores_gemma":[0.00076727633,0.00015800502,0.00009334304,0.00056937506,0.00042816,0.00011960084,0.00008107132,0.00034594932,0.000060481238],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000551659,0.00008549549,0.017312462,0.00008554696,0.000056999786,0.000008227432,0.0025141132,1.0580691e-7,0.00025282335,0.97317827,0.0052982327,0.0011525593],"study_design_scores_gemma":[0.00045120623,0.00064123014,0.080193795,0.000075175754,0.00008239516,0.000016870541,0.00008887252,0.000017723483,0.011198169,0.90664804,0.00039644106,0.00019006676],"about_ca_topic_score_codex":0.000035945108,"about_ca_topic_score_gemma":0.000037028247,"teacher_disagreement_score":0.06653021,"about_ca_system_score_codex":0.000058408925,"about_ca_system_score_gemma":0.00008048693,"threshold_uncertainty_score":0.64432573},"labels":[],"label_agreement":null},{"id":"W2592759192","doi":"10.1103/physrevd.97.026001","title":"Knot invariants and M-theory: Proofs and derivations","year":2018,"lang":"en","type":"article","venue":"Physical review. D/Physical review. D.","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematical proof; Knot theory; Knot (papermaking); Twist; Mathematics; Pure mathematics; Supersymmetry; Algebra over a field; Theoretical physics; Physics; Geometry; Engineering; Mathematical physics","score_opus":0.0376400499980008,"score_gpt":0.45375285829267137,"score_spread":0.41611280829467057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2592759192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90827316,0.06970609,0.0008757054,0.007838959,0.00015349223,0.0025392435,0.00003207651,0.00019818803,0.010383062],"genre_scores_gemma":[0.91117775,0.07923582,0.0017226051,0.006105913,0.0010995518,0.00026640124,0.000015236476,0.00007442411,0.00030227532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973699,0.0004268386,0.00058895804,0.00069364725,0.0003930576,0.0005276038],"domain_scores_gemma":[0.99678457,0.0016354775,0.00032581508,0.0006943328,0.00021006947,0.00034974996],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007392587,0.00044179556,0.0014760498,0.00007621919,0.00022058764,0.000038364473,0.00032194454,0.00005586838,0.0000980507],"category_scores_gemma":[0.006074489,0.000327433,0.00024775704,0.0009777041,0.00061797694,0.00021493541,0.00033559767,0.00037823938,0.00038950404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009031745,0.0005173045,0.00077330857,0.005955379,0.00008715177,0.0000044697435,0.00013233813,6.285648e-9,0.0010080513,0.89956397,0.009731768,0.082217194],"study_design_scores_gemma":[0.00029937527,0.00030926554,0.002371208,0.004091186,0.00059345906,0.00002491099,0.000009106719,0.00007923394,0.0006297336,0.95484304,0.03632342,0.0004260404],"about_ca_topic_score_codex":0.0000054310576,"about_ca_topic_score_gemma":0.0000032198584,"teacher_disagreement_score":0.081791155,"about_ca_system_score_codex":0.000028371476,"about_ca_system_score_gemma":0.00006133857,"threshold_uncertainty_score":0.99991775},"labels":[],"label_agreement":null},{"id":"W2593506075","doi":"10.1090/gsm/176/07","title":"Left-orderings of the braid groups","year":2016,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Braid; Braid group; Mathematics; Pure mathematics; Geography; Archaeology","score_opus":0.18462791193220934,"score_gpt":0.3438251223321665,"score_spread":0.15919721039995716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593506075","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006555323,0.0027099545,0.0004199698,0.0019898526,0.001891939,0.0006924717,0.00008115187,0.00013030281,0.985529],"genre_scores_gemma":[0.027967239,0.004013211,0.0075704395,0.00009286247,0.00027078926,0.000028191254,0.0000016375299,0.00019901256,0.9598566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972731,0.0000420069,0.0012337816,0.00039033385,0.00062991894,0.00043087738],"domain_scores_gemma":[0.99535996,0.0022485699,0.0010551492,0.0010593244,0.00023303185,0.000043966018],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007757918,0.0005644155,0.001482127,0.00033033674,0.000110638044,0.000008025682,0.0007503228,0.000309895,0.00018757266],"category_scores_gemma":[0.0021122384,0.0003282437,0.00038768392,0.00012975972,0.0011333497,0.000041870437,0.0008881042,0.00051179813,0.00007570391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003613826,0.000060849376,0.000019763556,0.002117961,0.0004090182,0.000014054586,0.003810338,1.836609e-7,0.000008066327,0.98640937,0.005379953,0.0017668456],"study_design_scores_gemma":[0.00036742727,0.00004405366,0.000011488709,0.0020102542,0.00017655111,0.00005018746,0.00078526704,0.0000026403447,0.000068642395,0.9897981,0.006330347,0.00035499132],"about_ca_topic_score_codex":0.000001194841,"about_ca_topic_score_gemma":0.000028501367,"teacher_disagreement_score":0.025672417,"about_ca_system_score_codex":0.00012492314,"about_ca_system_score_gemma":0.00005232872,"threshold_uncertainty_score":0.999917},"labels":[],"label_agreement":null},{"id":"W2593542841","doi":"10.1090/gsm/176/08","title":"Groups of homeomorphisms","year":2016,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Pure mathematics; Mathematics","score_opus":0.25478454049469706,"score_gpt":0.36270214524585265,"score_spread":0.10791760475115558,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593542841","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0033221121,0.0044278177,0.0013787275,0.0006807372,0.0014941177,0.0010894646,0.0001541752,0.00016532768,0.9872875],"genre_scores_gemma":[0.033853546,0.008516392,0.028001359,0.00005375394,0.00043715924,0.000067393616,0.000008476509,0.00029549375,0.9287664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997024,0.000033522112,0.0014528561,0.0004242692,0.0006160558,0.00044928395],"domain_scores_gemma":[0.99496084,0.0027401773,0.0011069623,0.00083687785,0.0002906529,0.000064474705],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008613782,0.0006036367,0.0020363168,0.00070105074,0.000060343416,0.0000058239148,0.00047814994,0.00036695134,0.00030263764],"category_scores_gemma":[0.0016082606,0.00043369413,0.00031637322,0.00014563631,0.0010344282,0.00004362977,0.0004631443,0.00042202443,0.00017848385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058343876,0.00008535364,0.0000068638305,0.0018503466,0.00048635667,0.00007309425,0.0021610316,1.1576239e-7,0.0000037914826,0.9842932,0.009618169,0.0014158007],"study_design_scores_gemma":[0.0005191555,0.00011129068,0.0000042513725,0.0017025111,0.00020650889,0.00005184234,0.0006855376,0.0000028736808,0.000034148412,0.9931958,0.0030497806,0.00043630082],"about_ca_topic_score_codex":7.951597e-7,"about_ca_topic_score_gemma":0.0000099666295,"teacher_disagreement_score":0.058521092,"about_ca_system_score_codex":0.0001435389,"about_ca_system_score_gemma":0.00004541203,"threshold_uncertainty_score":0.9998115},"labels":[],"label_agreement":null},{"id":"W2593910134","doi":"","title":"Gromov Hyperbolicity of Regular Graphs.","year":2017,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"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; Pure mathematics","score_opus":0.03411865966423241,"score_gpt":0.2952394456813125,"score_spread":0.2611207860170801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593910134","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98697144,0.000068147776,0.00001644086,0.00030232326,0.0010422993,0.000105555395,0.0000033422982,0.000042249656,0.011448178],"genre_scores_gemma":[0.99838144,0.000017020173,0.00089219766,0.000024399498,0.000007970846,0.000005370366,0.0000010107995,0.000015710553,0.0006548856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991118,0.000041325115,0.00024762555,0.00017805715,0.00019640857,0.00022481939],"domain_scores_gemma":[0.99837095,0.00017936683,0.00030627273,0.0009834367,0.00008873117,0.00007126933],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032288852,0.00011909225,0.00033374116,0.00010893918,0.00021267254,0.000021800037,0.00056414073,0.00011529197,0.00009794429],"category_scores_gemma":[0.0010611535,0.00010886777,0.00011000582,0.000121975514,0.00024897186,0.00009463165,0.00017170087,0.00012297406,0.000025636115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005538451,0.00013436377,0.010802458,0.000030888812,0.000036964393,0.000007353305,0.000092575174,2.893686e-8,0.00031267686,0.98456556,0.0032300467,0.00078154384],"study_design_scores_gemma":[0.0006471047,0.00007224339,0.036936857,0.000014304508,0.000028995242,0.0000067723504,0.00003299543,0.000004160761,0.005562577,0.9559546,0.00063194754,0.00010743086],"about_ca_topic_score_codex":0.000107416105,"about_ca_topic_score_gemma":0.0000048466486,"teacher_disagreement_score":0.028610948,"about_ca_system_score_codex":0.000012476609,"about_ca_system_score_gemma":0.00001994576,"threshold_uncertainty_score":0.44394985},"labels":[],"label_agreement":null},{"id":"W2594129372","doi":"10.1007/s10711-010-9483-x","title":"Collapsing manifolds with boundary","year":2010,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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; Boundary (topology); Sectional curvature; Topology (electrical circuits); Manifold (fluid mechanics); Geodesic; Pure mathematics; Mathematical analysis; Scalar curvature; Curvature; Geometry; Combinatorics","score_opus":0.023231048698076826,"score_gpt":0.28208252950188945,"score_spread":0.2588514808038126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594129372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96738595,0.00016530429,0.0052888887,0.0016383976,0.0012247268,0.00033884213,0.000033266228,0.00024530716,0.02367933],"genre_scores_gemma":[0.96815586,0.000013901816,0.028766926,0.00028052786,0.0004850831,0.000020336165,0.000029359742,0.000046522422,0.0022015104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99811965,0.000038614868,0.00035468893,0.00041763464,0.00050945586,0.000559983],"domain_scores_gemma":[0.9976041,0.0009930438,0.00020067209,0.00083912077,0.00011050114,0.00025257136],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00090488046,0.00022754111,0.00038591257,0.00097401,0.0002528436,0.000085770036,0.000554199,0.00022942365,0.0033024969],"category_scores_gemma":[0.0027147406,0.00017654998,0.00007640779,0.0027395156,0.00032215388,0.00013100683,0.00016981602,0.00055313605,0.00024545795],"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":[0.00039924565,0.0016632789,0.061270144,0.00045879112,0.0009095057,0.000704297,0.0009559974,0.000001344756,0.0062229997,0.434378,0.40623778,0.08679861],"study_design_scores_gemma":[0.006340152,0.00091511384,0.027602782,0.00008088105,0.0004268968,0.0016343008,0.00081563625,0.000054403357,0.0057635135,0.3171164,0.6377303,0.0015196264],"about_ca_topic_score_codex":0.00004522935,"about_ca_topic_score_gemma":0.000118258926,"teacher_disagreement_score":0.23149249,"about_ca_system_score_codex":0.00002580097,"about_ca_system_score_gemma":0.00018235204,"threshold_uncertainty_score":0.9976086},"labels":[],"label_agreement":null},{"id":"W2594510987","doi":"10.1090/gsm/176/03","title":"Free groups, surface groups and covering spaces","year":2016,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Surface (topology); Geography; Mathematics; Geometry","score_opus":0.14840249864095403,"score_gpt":0.3288805901879965,"score_spread":0.18047809154704245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594510987","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.076891094,0.024145892,0.0028704249,0.0033865047,0.0030808821,0.0025784196,0.00047572976,0.0006718076,0.88589925],"genre_scores_gemma":[0.060343478,0.035454046,0.055440914,0.0001453487,0.0008858068,0.000065396576,0.000011580386,0.0005734497,0.84708],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971447,0.000041740484,0.0010104424,0.0006246888,0.0005745251,0.0006038771],"domain_scores_gemma":[0.9948898,0.00319613,0.000686476,0.00096685404,0.00015688856,0.00010386243],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009219446,0.0007836956,0.0017472714,0.00036191838,0.00016463845,0.000041926996,0.00051242224,0.00039010664,0.00009801002],"category_scores_gemma":[0.0019445592,0.0005900704,0.00018019302,0.00011919375,0.000881431,0.00009981277,0.0012047297,0.00055353186,0.000075706055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006852823,0.00004731739,0.000038037266,0.001958148,0.00048440404,0.00011400176,0.0036835729,6.343947e-7,0.0000034475527,0.9830983,0.009890125,0.000675112],"study_design_scores_gemma":[0.00071568973,0.00009113087,0.00001174148,0.0015182745,0.00020584137,0.00009529069,0.0017382875,0.000016108987,0.000010193024,0.99093825,0.0040073805,0.0006518129],"about_ca_topic_score_codex":0.0000030161962,"about_ca_topic_score_gemma":0.00004993417,"teacher_disagreement_score":0.05257049,"about_ca_system_score_codex":0.00016878932,"about_ca_system_score_gemma":0.000030300258,"threshold_uncertainty_score":0.99965507},"labels":[],"label_agreement":null},{"id":"W2594685698","doi":"10.1007/s00222-018-0824-y","title":"Deciding isomorphy using Dehn fillings, the splitting case","year":2018,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Automorphism; Isomorphism (crystallography); Group isomorphism; Vertex (graph theory); Torsion (gastropod); Nilpotent; Automorphism group; Pure mathematics; Congruence relation; Combinatorics; Discrete mathematics; Outer automorphism group; Graph","score_opus":0.20283883344553358,"score_gpt":0.39469622742644017,"score_spread":0.1918573939809066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594685698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8965479,0.00014384335,0.09911544,0.00041640393,0.00048034743,0.00032689303,0.0000037112072,0.00014913846,0.0028163071],"genre_scores_gemma":[0.9370281,0.0000045068887,0.061662525,0.00015925651,0.0006239682,0.000019836943,0.0000013659434,0.000042640193,0.00045777147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982808,0.00012326428,0.0006279194,0.0002773044,0.00027209276,0.00041858034],"domain_scores_gemma":[0.99762213,0.0012047467,0.00036923075,0.00054152956,0.00017535247,0.00008702344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011979594,0.0002128393,0.00032181587,0.00018722734,0.00073618256,0.000108171786,0.0002869733,0.00010686087,0.0008962668],"category_scores_gemma":[0.001915335,0.0001484598,0.00018131438,0.00066430843,0.00036532155,0.0001668324,0.00016749864,0.00017628596,0.00029405273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010742027,0.00029471636,0.00028857467,0.00038532296,0.0001990157,0.00034878013,0.00475653,0.0000036217145,0.0014638627,0.98593116,0.0031004052,0.0032172808],"study_design_scores_gemma":[0.0003185464,0.000055667515,0.000019019464,0.00022045785,0.00017056074,0.0054259067,0.0037782872,0.0063503264,0.0021432997,0.98027384,0.0009917439,0.00025235294],"about_ca_topic_score_codex":0.00003419751,"about_ca_topic_score_gemma":0.00001837256,"teacher_disagreement_score":0.040480208,"about_ca_system_score_codex":0.000045541005,"about_ca_system_score_gemma":0.000033284567,"threshold_uncertainty_score":0.9813493},"labels":[],"label_agreement":null},{"id":"W2594704620","doi":"10.1515/advgeom-2020-0023","title":"Einstein tori and crooked surfaces","year":2021,"lang":"en","type":"preprint","venue":"Advances in Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Division of Mathematical Sciences; National Science Foundation","keywords":"Hyperplane; Einstein; Geodesic; Symplectic geometry; Invariant (physics); Mathematics; Pure mathematics; Physics; Geometry; Mathematical physics","score_opus":0.023950021138235793,"score_gpt":0.32216760102673103,"score_spread":0.29821757988849523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594704620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90612894,0.0850442,0.0014750676,0.00019465377,0.0017714512,0.00026481113,0.000018554578,0.00008665991,0.0050156484],"genre_scores_gemma":[0.9636469,0.0104797175,0.024213875,0.00009717628,0.00018305099,0.00003957451,0.000026690086,0.000042362866,0.0012706888],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99780977,0.00011643508,0.0005751013,0.00074493635,0.00030277562,0.00045100358],"domain_scores_gemma":[0.9978371,0.0010613496,0.000288468,0.00063280936,0.000081121376,0.000099110846],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00049392926,0.00036623457,0.0008420579,0.00064918713,0.00005890255,0.00007634039,0.00037197323,0.0004615609,0.00031449183],"category_scores_gemma":[0.0016534625,0.0003594739,0.000105441184,0.00088177,0.00019120853,0.00020903948,0.0010791044,0.0008464867,0.000009207531],"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":[0.00015679629,0.001790244,0.31185248,0.014202119,0.00072078,0.0014376701,0.005054796,0.0029009727,0.00029947053,0.28517973,0.0019751452,0.3744298],"study_design_scores_gemma":[0.0017170225,0.00017113211,0.020260634,0.0011422782,0.0001415396,0.00008219209,0.0040790075,0.0002591685,0.0011516759,0.9281718,0.04109197,0.0017315662],"about_ca_topic_score_codex":0.00007929456,"about_ca_topic_score_gemma":0.00024225065,"teacher_disagreement_score":0.6429921,"about_ca_system_score_codex":0.00008578796,"about_ca_system_score_gemma":0.00009105818,"threshold_uncertainty_score":0.99988574},"labels":[],"label_agreement":null},{"id":"W2595983772","doi":"10.1016/j.top.2006.02.002","title":"Some examples of free actions on products of spheres","year":2006,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","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":"ACT-X","keywords":"Mathematics; SPHERES; Pure mathematics; Physics","score_opus":0.06493849863914167,"score_gpt":0.30505205206861846,"score_spread":0.2401135534294768,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2595983772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98672384,0.00030267314,0.0001782386,0.0012100214,0.00030817333,0.00012223031,0.000019409812,0.000038042665,0.011097371],"genre_scores_gemma":[0.99250823,0.000008542052,0.004405604,0.000034196128,0.00023319382,0.0000059621366,0.0000034239545,0.000010612694,0.0027902552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921685,0.00005615452,0.00029715066,0.00015411142,0.000093991584,0.00018176345],"domain_scores_gemma":[0.99878985,0.0005104241,0.00018597745,0.00043286206,0.00006348025,0.00001741368],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009632127,0.00008821727,0.0002974721,0.00016467898,0.000029189518,0.0000011598049,0.0001883152,0.00010155093,0.00073751557],"category_scores_gemma":[0.00074213237,0.00007554699,0.000048172846,0.00023162855,0.0003113831,0.000026915935,0.000056595953,0.000084791885,0.000017418039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015775715,0.0002532084,0.0013765065,0.000060878076,0.000026317379,0.000001902778,0.000052209387,0.0000053341632,0.0038768293,0.9746453,0.019280205,0.00040549788],"study_design_scores_gemma":[0.00037842293,0.0002674908,0.006831697,0.0000073247047,0.00003333758,0.000012811075,0.00022844356,0.0000012663916,0.06354483,0.92523223,0.0033859038,0.000076211414],"about_ca_topic_score_codex":0.0007327271,"about_ca_topic_score_gemma":0.00023145557,"teacher_disagreement_score":0.059668,"about_ca_system_score_codex":0.000011077921,"about_ca_system_score_gemma":0.00003601192,"threshold_uncertainty_score":0.80752784},"labels":[],"label_agreement":null},{"id":"W2605695276","doi":"10.1515/gcc-2017-0005","title":"Log-space conjugacy problem in the Grigorchuk group","year":2017,"lang":"en","type":"article","venue":"journal of Groups complexity cryptology","topic":"Geometric and Algebraic Topology","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":"Champlain Regional College","funders":"","keywords":"Conjugacy class; Space (punctuation); Group (periodic table); Mathematics; Combinatorics; Pure mathematics; Computer science; Physics; Operating system","score_opus":0.11630180828129263,"score_gpt":0.3556580237808279,"score_spread":0.23935621549953526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605695276","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9411549,0.00027694576,0.021113295,0.02573339,0.0008889142,0.00034902195,0.0000048576126,0.000021016927,0.010457644],"genre_scores_gemma":[0.9641813,0.000037307265,0.03481521,0.00049495045,0.0003871286,0.0000058192786,0.0000012618575,0.00001738842,0.00005961963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99749476,0.0005217326,0.00089375454,0.00021046159,0.00036833956,0.000510928],"domain_scores_gemma":[0.9960323,0.0014028876,0.0015430589,0.0007427355,0.00017545116,0.00010355502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002221049,0.00022691324,0.00080347486,0.00036816034,0.00041716782,0.00010794465,0.0017620717,0.00020370985,0.00032439057],"category_scores_gemma":[0.00184154,0.00014775801,0.00022674624,0.00020485734,0.0010434123,0.00028110188,0.00023215392,0.00092098635,0.000028688131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009376472,0.0003517649,0.022967828,0.000044802997,0.0000637201,0.0002674208,0.0008891759,0.0000010551057,0.00007940311,0.96715236,0.0071469317,0.0009417662],"study_design_scores_gemma":[0.001615434,0.00049923966,0.10714932,0.000031195046,0.00004472023,0.001845426,0.00069053983,0.000027078044,0.000013124828,0.8821714,0.0057655876,0.00014695928],"about_ca_topic_score_codex":0.00013303121,"about_ca_topic_score_gemma":0.00052232656,"teacher_disagreement_score":0.084980994,"about_ca_system_score_codex":0.000062545674,"about_ca_system_score_gemma":0.000071754344,"threshold_uncertainty_score":0.60253966},"labels":[],"label_agreement":null},{"id":"W2606124566","doi":"10.4171/ggd/478","title":"Determining the finite subgraphs of curve graphs","year":2018,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Combinatorics","score_opus":0.029453906603826914,"score_gpt":0.28237862749658066,"score_spread":0.25292472089275375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606124566","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9788745,0.000458162,0.01735373,0.00016176693,0.0009939678,0.00037002243,0.0002394247,0.00007518255,0.0014732169],"genre_scores_gemma":[0.995268,0.0002475192,0.0037619276,0.00009540612,0.00014596677,0.000023435414,0.0001084444,0.000047069305,0.00030225152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997775,0.00015578954,0.0007125789,0.00055573357,0.0003442838,0.00045659472],"domain_scores_gemma":[0.99574137,0.0022892242,0.00070538477,0.0009275209,0.00022688974,0.00010960457],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010299747,0.00043126353,0.00078092376,0.0008495586,0.0002068828,0.00006091391,0.00067203137,0.0006106313,0.00008654287],"category_scores_gemma":[0.0014949809,0.0003178785,0.00030319826,0.0010342224,0.00079683133,0.000059054666,0.0012156586,0.0008400517,0.0000065269187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007521431,0.00046144784,0.40998834,0.002116143,0.000770219,0.000019483878,0.0016815069,0.00005344893,0.0000026913006,0.5610635,0.0015881389,0.022179829],"study_design_scores_gemma":[0.00050395017,0.00021730298,0.049350977,0.00013818922,0.00028040298,0.000018759283,0.0004422012,0.0065912115,0.00001228489,0.94181347,0.00015784943,0.00047338914],"about_ca_topic_score_codex":0.00003935411,"about_ca_topic_score_gemma":0.00007724094,"teacher_disagreement_score":0.38074994,"about_ca_system_score_codex":0.000032741347,"about_ca_system_score_gemma":0.00005546853,"threshold_uncertainty_score":0.99992734},"labels":[],"label_agreement":null},{"id":"W2607936773","doi":"10.1090/amsip/050/11","title":"Invariants of knots and 3-manifolds derived from the equivariant linking pairing","year":2011,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Pairing; Equivariant map; Pure mathematics; Mathematics; Physics; Quantum mechanics","score_opus":0.16437973937934114,"score_gpt":0.33909437782396296,"score_spread":0.17471463844462182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2607936773","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13596024,0.113613896,0.08896219,0.0013806247,0.006273428,0.009048131,0.00061642966,0.00090682507,0.64323825],"genre_scores_gemma":[0.521466,0.037040353,0.36910683,0.00055360957,0.0008186435,0.00022479211,0.000043115277,0.0006991053,0.07004755],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99718827,0.000053269425,0.0013566524,0.0005489469,0.0003884589,0.0004644296],"domain_scores_gemma":[0.9921057,0.005473302,0.001237985,0.0009266342,0.00019121035,0.00006514573],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00070152123,0.0006438374,0.0016862333,0.00024133085,0.00015947073,0.0000149610805,0.00056857464,0.00039714802,0.00013085613],"category_scores_gemma":[0.0020929233,0.000469669,0.00017057356,0.00013537641,0.0007034165,0.00009767802,0.0011105605,0.0006204425,0.00001907246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002367287,0.00011006982,0.000073439354,0.0013695692,0.0008930709,0.000092662405,0.01615924,0.000004259293,0.00009361353,0.9742185,0.00018994331,0.006771994],"study_design_scores_gemma":[0.0007026824,0.000103080376,0.000088684355,0.003218577,0.0003509595,0.00002974351,0.0028629496,0.00003773299,0.00015726713,0.9913005,0.0006810712,0.0004667491],"about_ca_topic_score_codex":0.000023373854,"about_ca_topic_score_gemma":0.00016214722,"teacher_disagreement_score":0.5731907,"about_ca_system_score_codex":0.00009528501,"about_ca_system_score_gemma":0.00005365724,"threshold_uncertainty_score":0.9997755},"labels":[],"label_agreement":null},{"id":"W2608624358","doi":"10.1090/crmp/038/06","title":"Representations of fundamental groups of nonorientable 2-manifolds","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric and Algebraic Topology","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":"Pure mathematics; Mathematics; Algebra over a field","score_opus":0.029676576916053847,"score_gpt":0.2817917466980076,"score_spread":0.25211516978195375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608624358","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.042995103,0.0010056834,0.0025685674,0.00040582469,0.00046494306,0.00085019233,0.00012569255,0.00013754336,0.9514465],"genre_scores_gemma":[0.9948498,0.00006674985,0.0013912105,0.000051789902,0.00027679,0.000014813651,0.00003602872,0.00008760589,0.0032251866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979865,0.0000032033677,0.00076631416,0.00048334576,0.00044290995,0.00031775376],"domain_scores_gemma":[0.9979301,0.00034709385,0.000977737,0.00024530213,0.0004106847,0.00008904809],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001724606,0.000420011,0.0008787327,0.0005285182,0.000091123475,0.000022572904,0.00033711272,0.0005701174,0.0014456318],"category_scores_gemma":[0.00059200526,0.00038763648,0.000307379,0.00022381151,0.00028477862,0.00010159292,0.00015557467,0.00044167676,0.000018578503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027129961,0.000087234715,0.00072992436,0.00071367866,0.000195979,0.0000028674583,0.0012534247,0.000003292706,0.0010113573,0.99536353,0.0001644455,0.00044714057],"study_design_scores_gemma":[0.0004705709,0.00027008014,0.0001512989,0.0003116436,0.00032287545,0.00003488316,0.00016017878,0.0000019969204,0.010228839,0.9863864,0.0013534266,0.0003077701],"about_ca_topic_score_codex":0.000057850728,"about_ca_topic_score_gemma":0.000010246944,"teacher_disagreement_score":0.9518547,"about_ca_system_score_codex":0.00011258101,"about_ca_system_score_gemma":0.0001308464,"threshold_uncertainty_score":0.99985754},"labels":[],"label_agreement":null},{"id":"W2608804245","doi":"10.1090/amsip/050/17","title":"Intersection pairings on spaces of connections and Chern-Simons theory on Seifert manifolds","year":2011,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Chern–Simons theory; Intersection (aeronautics); Pure mathematics; Mathematics; Physics; Mathematical physics; Geography; Gauge theory; Cartography","score_opus":0.11830444910018642,"score_gpt":0.3435233374215545,"score_spread":0.22521888832136808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2608804245","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06916301,0.0034671912,0.006774229,0.00035887066,0.0020614062,0.0021239216,0.00009026891,0.0003942616,0.91556686],"genre_scores_gemma":[0.603874,0.008963132,0.019339746,0.00029663477,0.00027269195,0.00021356966,0.00001062023,0.00038056672,0.366649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979947,0.0000464143,0.00084181875,0.00050242076,0.00028530206,0.00032933563],"domain_scores_gemma":[0.9951463,0.003238717,0.00079775555,0.0006042909,0.00015047267,0.00006249738],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005483956,0.0005856202,0.0012697098,0.00066403346,0.00012112845,0.000008556517,0.00021804035,0.00035259448,0.00015515859],"category_scores_gemma":[0.0015469447,0.00049805135,0.00018057019,0.00013339805,0.0006127119,0.00006394656,0.00024675613,0.0005770656,0.00003795133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006910826,0.00023480828,0.000010941869,0.0011064522,0.0004677836,0.00002148413,0.0063258177,0.0000075284233,0.000009725964,0.98806435,0.000542535,0.0031394577],"study_design_scores_gemma":[0.0005757223,0.0007891954,0.000018912338,0.0020884776,0.00021814552,0.00003609383,0.008581592,0.0000120913655,0.0002388066,0.9851356,0.0018735828,0.00043176525],"about_ca_topic_score_codex":0.00000480464,"about_ca_topic_score_gemma":0.000082434875,"teacher_disagreement_score":0.54891783,"about_ca_system_score_codex":0.00018049242,"about_ca_system_score_gemma":0.00002290981,"threshold_uncertainty_score":0.9997471},"labels":[],"label_agreement":null},{"id":"W2609243979","doi":"10.1090/crmp/035/13","title":"Compressions of group actions","year":2004,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric and Algebraic Topology","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; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Group (periodic table); Group action; Psychology; Physics","score_opus":0.059567604729837895,"score_gpt":0.2985599009058626,"score_spread":0.2389922961760247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609243979","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016015308,0.00092779874,0.006852037,0.0009651151,0.000432738,0.0005089807,0.000053781252,0.00027206467,0.988386],"genre_scores_gemma":[0.9932419,0.00010943463,0.0018413904,0.00013633621,0.0005214323,0.000018475874,0.000024018596,0.000117438634,0.003989574],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984028,0.0000027290967,0.00049920875,0.0004374826,0.00033524138,0.00032254859],"domain_scores_gemma":[0.9983073,0.00047163808,0.00059574004,0.00021267589,0.00029519768,0.000117431584],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001113799,0.0004515094,0.0007707992,0.0005078069,0.00016953376,0.00002663354,0.0003362837,0.0008295491,0.001592546],"category_scores_gemma":[0.00079697743,0.00037810116,0.0002950965,0.00015997155,0.00023841712,0.00006699771,0.00013169706,0.00085186545,0.000042742056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011032356,0.000054281503,0.000026138116,0.00034911808,0.00012260748,0.0000025390198,0.00036694104,0.0000016541192,0.0005796674,0.9959306,0.00042197233,0.0021334116],"study_design_scores_gemma":[0.0002767582,0.00013434533,0.000039848077,0.00047733975,0.00027040558,0.000040964773,0.00002635568,0.0000021020842,0.0015025553,0.9761374,0.020756364,0.0003355854],"about_ca_topic_score_codex":0.000013903067,"about_ca_topic_score_gemma":0.0000062063123,"teacher_disagreement_score":0.9916404,"about_ca_system_score_codex":0.000085799686,"about_ca_system_score_gemma":0.00009117008,"threshold_uncertainty_score":0.9998671},"labels":[],"label_agreement":null},{"id":"W2609303411","doi":"10.1090/amsip/050/06","title":"Extending the 𝑆𝑈(3) Casson invariant to rational homology 3-spheres","year":2011,"lang":"en","type":"book-chapter","venue":"AMS/IP studies in advanced mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"SPHERES; Homology (biology); Invariant (physics); Pure mathematics; Mathematics; Physics; Mathematical physics; Biology; Genetics; Astronomy","score_opus":0.18926575987503377,"score_gpt":0.38108338313742673,"score_spread":0.19181762326239296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609303411","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0046568573,0.023683237,0.06319598,0.00306714,0.005628786,0.0062202574,0.000190551,0.00058868155,0.8927685],"genre_scores_gemma":[0.021501696,0.007219402,0.25784037,0.0014549434,0.00092533365,0.000804608,0.00002978974,0.00051423727,0.70970964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99676245,0.000070518145,0.0013152008,0.00067157927,0.00048970914,0.00069056265],"domain_scores_gemma":[0.993554,0.0042072656,0.00081991364,0.0010372484,0.00027355916,0.00010799358],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007654183,0.00074865745,0.0015465237,0.00042999303,0.0002848009,0.00002056758,0.0007575896,0.0004105493,0.0008510954],"category_scores_gemma":[0.0036107097,0.0005399021,0.00023049554,0.00024279355,0.00061673415,0.000090984104,0.00084295426,0.0007864941,0.00030410296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019944371,0.000105705694,0.000008018265,0.0004279837,0.0003830797,0.00015350626,0.0050475355,0.000028465622,0.000008032131,0.9825251,0.007134922,0.0041576945],"study_design_scores_gemma":[0.00043583196,0.00019176268,0.000012989714,0.0006667031,0.00018507385,0.00020658766,0.0031437948,0.000021372214,0.00003345891,0.9757283,0.018793434,0.0005807322],"about_ca_topic_score_codex":0.000011308961,"about_ca_topic_score_gemma":0.0004669151,"teacher_disagreement_score":0.19464438,"about_ca_system_score_codex":0.00031314374,"about_ca_system_score_gemma":0.0000947576,"threshold_uncertainty_score":0.99970526},"labels":[],"label_agreement":null},{"id":"W2609956324","doi":"10.48550/arxiv.1704.05827","title":"Givental's non-linear Maslov index on lens spaces","year":2017,"lang":"en","type":"preprint","venue":"Kölner Universitäts PublikationsServer (Universität zu Köln)","topic":"Geometric and Algebraic Topology","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":"Projective space; Mathematics; Conjecture; Covering space; Rigidity (electromagnetism); Invariant (physics); Projective test; Pure mathematics; Mathematical analysis; Engineering; Structural engineering; Mathematical physics","score_opus":0.063486434340728,"score_gpt":0.29350530316823814,"score_spread":0.23001886882751016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2609956324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64391476,0.00031783435,0.022838399,0.028756928,0.0063685128,0.0030106616,0.0009342621,0.00137094,0.29248774],"genre_scores_gemma":[0.9100279,0.0001500603,0.0036874178,0.00029730136,0.00048802953,0.000010855961,0.0005210516,0.00013986086,0.084677525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950931,0.00028019046,0.00057611964,0.0017443739,0.0011448651,0.0011613519],"domain_scores_gemma":[0.99390167,0.0005737942,0.001458565,0.002924957,0.0006424416,0.0004985994],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006092113,0.00111687,0.0013019992,0.0032247545,0.0018007176,0.0004874088,0.003277412,0.0014731898,0.002870876],"category_scores_gemma":[0.0004055,0.0012789224,0.00088579685,0.0010705753,0.0006315883,0.0040616062,0.0032545477,0.002161938,0.00073096674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004470595,0.0016369885,0.008504497,0.00081318186,0.0029008763,0.0013052771,0.0039154515,0.0019378366,0.0000254272,0.847117,0.12856042,0.0028359846],"study_design_scores_gemma":[0.016142216,0.0013258582,0.043337915,0.0020056302,0.0043547987,0.00015849342,0.026364231,0.009222398,0.00030482782,0.5429961,0.3452546,0.008532913],"about_ca_topic_score_codex":0.000961529,"about_ca_topic_score_gemma":0.00050559733,"teacher_disagreement_score":0.3041209,"about_ca_system_score_codex":0.0010394086,"about_ca_system_score_gemma":0.0008775302,"threshold_uncertainty_score":0.9998231},"labels":[],"label_agreement":null},{"id":"W2610428211","doi":"10.4153/cmb-2017-031-2","title":"A Real-analytic Nonpolynomially Convex Isotropic Torus with no Attached Discs","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Holomorphic function; Convexity; Torus; Pure mathematics; Regular polygon; Isotropy; Polynomial; Mathematical analysis; Geometry","score_opus":0.031869068324670395,"score_gpt":0.28946716480793194,"score_spread":0.25759809648326154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2610428211","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51411533,0.00003998068,0.0030174027,0.02792508,0.00035283927,0.0010261697,0.000066221466,0.00017981773,0.45327717],"genre_scores_gemma":[0.9471118,0.000008037532,0.0105727045,0.0005611771,0.0002915446,0.000053850283,0.0000070695746,0.00007996352,0.04131385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977153,0.00006926196,0.00049953925,0.0004784957,0.00032863196,0.00090878067],"domain_scores_gemma":[0.9965204,0.0005622309,0.00030263007,0.0014878537,0.00015080806,0.0009761],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004046848,0.00035915183,0.000781296,0.00022940847,0.0005808651,0.00023422354,0.00088385306,0.00024049408,0.02526495],"category_scores_gemma":[0.002896139,0.00027654928,0.0001548005,0.00011909397,0.00055544026,0.000057708912,0.00010848705,0.00033336965,0.015392969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007260343,0.00023077687,0.0035876243,0.00051342434,0.00040832773,0.0007831789,0.00055327686,9.805589e-7,0.00004541865,0.84175014,0.15103336,0.0010208662],"study_design_scores_gemma":[0.0074540195,0.0014201998,0.022367727,0.0007955893,0.0013896564,0.00057716493,0.0012005595,0.0010194989,0.00025315688,0.5921613,0.3678178,0.0035433269],"about_ca_topic_score_codex":0.00543365,"about_ca_topic_score_gemma":0.0067034587,"teacher_disagreement_score":0.43299648,"about_ca_system_score_codex":0.00023579232,"about_ca_system_score_gemma":0.00047118057,"threshold_uncertainty_score":0.99996865},"labels":[],"label_agreement":null},{"id":"W2611957621","doi":"10.1007/978-3-319-58747-9_20","title":"The Conjugacy Problem in Free Solvable Groups and Wreath Products of Abelian Groups is in $${{\\mathsf {T}}}{{\\mathsf {C}}}^0$$","year":2017,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Geometric and Algebraic Topology","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":"Champlain Regional College","funders":"","keywords":"Conjugacy problem; Wreath product; Abelian group; Iterated function; Combinatorics; Conjugacy class; Mathematics; Product (mathematics); Mathematical analysis; Geometry","score_opus":0.026360128821350304,"score_gpt":0.266095211976629,"score_spread":0.2397350831552787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2611957621","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15105481,0.048624028,0.6205905,0.06895956,0.014643099,0.0161323,0.00027611875,0.0006233403,0.07909622],"genre_scores_gemma":[0.7461766,0.0019224343,0.24276067,0.0010876838,0.00091373286,0.00009293216,0.000009134613,0.00018912737,0.0068476764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99646896,0.00005616461,0.00087583595,0.0011316995,0.0006525346,0.00081483176],"domain_scores_gemma":[0.9958111,0.0013871492,0.00065868715,0.0018393705,0.00020608578,0.00009760997],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0022255068,0.0005128774,0.0009153935,0.00097278325,0.00026258407,0.00021796237,0.0022450876,0.00042975222,0.000026624295],"category_scores_gemma":[0.0012884586,0.00037925612,0.000077003046,0.0005384401,0.00194051,0.0003205737,0.0012607529,0.0009518954,0.000008310375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008472448,0.00043075293,0.00336768,0.0018592194,0.000080192454,0.00031735943,0.013643727,0.00030858704,0.00016729465,0.59431636,0.0014096033,0.3840145],"study_design_scores_gemma":[0.00075210334,0.00021304902,0.0006445659,0.00084990053,0.00001583729,0.00007010055,0.0000045248457,0.002086618,0.00037418894,0.99304104,0.0015102008,0.00043784408],"about_ca_topic_score_codex":0.00021614975,"about_ca_topic_score_gemma":0.0009405558,"teacher_disagreement_score":0.5951218,"about_ca_system_score_codex":0.00014669985,"about_ca_system_score_gemma":0.00038998664,"threshold_uncertainty_score":0.99986595},"labels":[],"label_agreement":null},{"id":"W2616551511","doi":"10.1307/mmj/1574845273","title":"Multivariable Signatures, Genus Bounds, and 0.5-Solvable Cobordisms","year":2019,"lang":"en","type":"preprint","venue":"The Michigan Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Universität Regensburg; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Centres of Competence in Research SwissMAP; Deutsche Forschungsgemeinschaft; McMaster University","keywords":"Cobordism; Mathematics; Concordance; Invariant (physics); Multivariable calculus; Signature (topology); Genus; Pure mathematics; Set (abstract data type); Combinatorics; Computer science; Biology; Bioinformatics; Zoology; Geometry","score_opus":0.0328262472041546,"score_gpt":0.2977552550494255,"score_spread":0.2649290078452709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2616551511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7311094,0.00911679,0.21870014,0.0069714715,0.0035341163,0.0025500115,0.000113756454,0.00032631124,0.027578032],"genre_scores_gemma":[0.89571756,0.0004433407,0.0855136,0.00090423046,0.0016882493,0.000049671977,0.00001797837,0.00024910658,0.015416279],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99654055,0.00037799345,0.0010596502,0.0005090866,0.0006862054,0.0008265147],"domain_scores_gemma":[0.99519944,0.0024767562,0.0008012099,0.0010331473,0.00017075696,0.00031869044],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0023981507,0.0006155425,0.0012252775,0.0002596871,0.00047347764,0.0004890946,0.0011779197,0.0007165404,0.0009725136],"category_scores_gemma":[0.0016692758,0.00037414368,0.0003392715,0.00022194625,0.00041918308,0.00008857498,0.0013395641,0.003571164,0.00023859869],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013638464,0.00080575,0.00009422282,0.0023825595,0.0015469234,0.00017701155,0.006603597,0.00062455353,0.0005669773,0.95149714,0.03281081,0.0027540773],"study_design_scores_gemma":[0.00073974667,0.00008274371,0.00006365045,0.0004355382,0.00040986305,0.0009942496,0.00048623356,0.0033166585,0.00011434212,0.9895607,0.0033296056,0.0004666171],"about_ca_topic_score_codex":0.000009764891,"about_ca_topic_score_gemma":0.0000045860415,"teacher_disagreement_score":0.16460818,"about_ca_system_score_codex":0.00006238904,"about_ca_system_score_gemma":0.00028457228,"threshold_uncertainty_score":0.99994075},"labels":[],"label_agreement":null},{"id":"W2618858442","doi":"10.1142/s0218216518500189","title":"A tabulation of ribbon knots in tangle form","year":2018,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Canada Research Chairs; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tangle; Mathematics; Knot (papermaking); Ribbon; Closure (psychology); Knot theory; Notation; Knot invariant; Skein relation; Combinatorics; Knot polynomial; Pure mathematics; Geometry; Arithmetic","score_opus":0.03596522945842263,"score_gpt":0.3260831809385447,"score_spread":0.2901179514801221,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2618858442","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9878391,0.00043457924,0.009743782,0.0003414702,0.000110542096,0.00008712192,0.0000039116057,0.000004763765,0.0014347549],"genre_scores_gemma":[0.9981354,0.00005709686,0.0012058399,0.00002443313,0.00010267014,0.000001429651,7.0230215e-7,0.000005667897,0.00046678827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99919164,0.00010617833,0.00044819558,0.00006207125,0.00009799237,0.000093905735],"domain_scores_gemma":[0.9985884,0.0006415711,0.00039246806,0.00010392031,0.00023209387,0.000041570423],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011136952,0.000058449376,0.0001848649,0.0003196727,0.000053086667,0.000006231885,0.00009892096,0.00006140654,0.00017541795],"category_scores_gemma":[0.0014636737,0.00004628612,0.000043096163,0.00036443,0.000093204326,0.00013510614,0.000016310143,0.00010619339,0.000007003706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006749484,0.00017913041,0.00052302965,0.000025101965,0.00002232279,9.766551e-7,0.0020077094,0.0000019938925,0.0030743391,0.98968935,0.00020732188,0.004201211],"study_design_scores_gemma":[0.0006121732,0.0002807242,0.024668273,0.0000660635,0.000049036076,0.00006144096,0.0007652039,0.00020867238,0.0036845924,0.9681777,0.0013526861,0.00007346869],"about_ca_topic_score_codex":8.8424576e-7,"about_ca_topic_score_gemma":0.000004484894,"teacher_disagreement_score":0.024145244,"about_ca_system_score_codex":0.000017258357,"about_ca_system_score_gemma":0.000041781328,"threshold_uncertainty_score":0.19207036},"labels":[],"label_agreement":null},{"id":"W2626015688","doi":"10.1016/j.jmp.2019.01.002","title":"Interval orders, semiorders and ordered groups","year":2019,"lang":"en","type":"preprint","venue":"Journal of Mathematical Psychology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; University of Calgary","funders":"","keywords":"Abelian group; Group (periodic table); Mathematics; Order (exchange); Combinatorics; Interval (graph theory); Cyclic group; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.07040867874785793,"score_gpt":0.38586191277841697,"score_spread":0.315453234030559,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2626015688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74806666,0.0017875073,0.21686159,0.015049649,0.004072666,0.00077711465,0.000017647246,0.00007852545,0.013288667],"genre_scores_gemma":[0.91444784,0.00049483706,0.081557095,0.0014226775,0.0006573456,0.000011939561,0.000004338738,0.00012725202,0.0012766655],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99650407,0.00033442973,0.0017685256,0.0004573337,0.00044302328,0.00049263734],"domain_scores_gemma":[0.9951753,0.0019326241,0.0016431212,0.00071051746,0.00029824517,0.00024016867],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017724115,0.00047006182,0.00188964,0.00068666716,0.00004322871,0.00005094339,0.00077325624,0.00094971916,0.0012826003],"category_scores_gemma":[0.0030500782,0.0003631972,0.00043275935,0.00022798697,0.0003895897,0.00007637197,0.0006083051,0.0020909267,0.00010434035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010243786,0.004249791,0.0019471041,0.008307474,0.003813488,0.00074074283,0.005073058,0.00004226132,0.00026038295,0.5914019,0.36519605,0.017943399],"study_design_scores_gemma":[0.0016412016,0.000475758,0.0003720892,0.00042092407,0.00029835285,0.0019779196,0.00038805127,0.00013915941,0.0000083355435,0.9910257,0.0029093733,0.00034316134],"about_ca_topic_score_codex":0.0000018021497,"about_ca_topic_score_gemma":0.0000019784122,"teacher_disagreement_score":0.3996238,"about_ca_system_score_codex":0.000053351414,"about_ca_system_score_gemma":0.00012657836,"threshold_uncertainty_score":0.999882},"labels":[],"label_agreement":null},{"id":"W2626753618","doi":"10.1007/978-3-319-98684-5_1","title":"Searching for Hyperbolicity","year":2017,"lang":"en","type":"preprint","venue":"Association for Women in Mathematics series","topic":"Geometric and Algebraic Topology","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":"Air Force Institute of Technology; University of Colorado Denver; University of California, Santa Barbara; College of Engineering, Michigan State University; Uniwersytet Marii Curie-Skłodowskiej; Universidad de Murcia; Universität Wien; École Polytechnique Fédérale de Lausanne; George Fox University; University of South Alabama; Division of Mathematical Sciences; Kent State University; Saint Louis University; Youngstown State University; Pacific Northwest National Laboratory; Università degli Studi di Salerno; Idaho State University; Swarthmore College; College of Charleston; West Virginia University; Iowa State University; University of South Florida; University of Akron; Georgia State University; University of Louisiana at Lafayette; Coastal Carolina University; Wellesley College; University of Cincinnati; Pennsylvania State University; Clemson University; Grand Valley State University; University of Denver; University of Nebraska-Lincoln; University of Notre Dame; Sonoma State University; University of Wyoming; Louisiana State University; University of Southern California; University of Oklahoma; University of Pittsburgh; University of Central Florida; University of Washington; University of California, Irvine; University of Dayton; Michigan State University; Auburn University; South Dakota State University; Williams College; Baylor University; University of Rochester; Virginia Polytechnic Institute and State University; University of Canterbury; Case Western Reserve University; University of Minnesota; Wichita State University; City University of New York; Ohio State University; Wake Forest University; University of Pennsylvania; Rice University; Georgia Institute of Technology; San Diego State University; University of Toronto; Washington and Lee University; Technische Universität Kaiserslautern; Portland State University; Tulane University; Arizona State University; University of Oregon; Brown University; University of Wisconsin-Madison; Western Carolina University; Oregon State University; University of Miami; California State University, Fresno; Eastern Kentucky University; U.S. Naval Academy; University of North Carolina at Chapel Hill; Wayne State University; University of California, San Diego; University of Southern Mississippi; University of Waterloo; Brigham Young University; Rowan University; Temple University; Purdue University; Ohio Wesleyan University; Georgia Southern University; Pitzer College; Vanderbilt University; Central Washington University; Massachusetts Institute of Technology","keywords":"Theme (computing); Focus (optics); Field (mathematics); Computer science; Sociology; Epistemology; Pure mathematics; Mathematics; Philosophy; Physics; World Wide Web; Optics","score_opus":0.06583992482189016,"score_gpt":0.3560993441326678,"score_spread":0.29025941931077764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2626753618","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8662985,0.00020245604,0.010429732,0.0067535085,0.0037413544,0.010326167,0.0016010395,0.0006088088,0.10003847],"genre_scores_gemma":[0.5147404,0.00014084931,0.100693725,0.000052953783,0.0009183307,0.0068875267,0.000194396,0.00024385838,0.37612796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975239,0.00006968667,0.00077747245,0.0004033908,0.0003667013,0.000858871],"domain_scores_gemma":[0.9939145,0.0034882354,0.0015402747,0.0006500227,0.0003132983,0.00009370905],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0040433286,0.00033406116,0.0010731654,0.00033396206,0.00033348612,0.00023484802,0.00062615547,0.00060047384,0.000031154304],"category_scores_gemma":[0.019923946,0.00033992247,0.00026722794,0.00010169568,0.000059982925,0.00015094675,0.0004259947,0.00044345885,0.0000090059875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005509578,0.0004325003,0.0021599745,0.0061672525,0.0004579906,0.0000012616182,0.022332985,0.00004605232,0.000029959074,0.9636412,0.0042531122,0.00042259556],"study_design_scores_gemma":[0.0006903709,0.00008042637,0.0002945982,0.00014340074,0.00005182668,0.0000014959909,0.0018387742,0.0005054026,0.00012552869,0.99150026,0.0044401847,0.00032772947],"about_ca_topic_score_codex":0.000023204573,"about_ca_topic_score_gemma":0.000101327816,"teacher_disagreement_score":0.35155806,"about_ca_system_score_codex":0.0011738065,"about_ca_system_score_gemma":0.00022054279,"threshold_uncertainty_score":0.9999053},"labels":[],"label_agreement":null},{"id":"W2633234297","doi":"10.1112/plms.12284","title":"Large‐type Artin groups are systolic","year":2019,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Narodowe Centrum Nauki; McGill University","keywords":"Mathematics; Conjecture; Type (biology); Pure mathematics; Class (philosophy); Conductor; Group (periodic table); Algebra over a field; Geometry","score_opus":0.0204937836850454,"score_gpt":0.26358407665486,"score_spread":0.2430902929698146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2633234297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9915821,0.000087740904,0.00023910006,0.0012182044,0.00017476208,0.0005593847,0.0000050553617,0.00011097539,0.0060226973],"genre_scores_gemma":[0.9899003,0.000011982242,0.005384346,0.00028872432,0.00008766699,0.000016847443,4.313664e-7,0.00003919409,0.0042705215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981345,0.000009258431,0.00054319686,0.00029874887,0.0005184711,0.00049580995],"domain_scores_gemma":[0.9983983,0.0004329668,0.0005356801,0.00027397266,0.0002649379,0.000094115676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008566501,0.0002322161,0.0006163193,0.000040573686,0.000117485724,0.000033385153,0.00063847494,0.00022214916,0.0006837664],"category_scores_gemma":[0.0013245444,0.00014754824,0.00047061502,0.00077630626,0.0001529241,0.000114042195,0.00039929544,0.00035934342,0.00026280637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017742734,0.00044059183,0.012617057,0.0026932773,0.00013955859,2.3431241e-7,0.002424344,3.531355e-7,0.00383626,0.9546178,0.023163024,0.000049757215],"study_design_scores_gemma":[0.0006386462,0.00008721912,0.0017661582,0.0003133616,0.00012269366,0.000033392855,0.0045556664,0.00060950057,0.0069486755,0.983558,0.0010987193,0.0002679506],"about_ca_topic_score_codex":0.0000011267555,"about_ca_topic_score_gemma":2.5050707e-7,"teacher_disagreement_score":0.028940218,"about_ca_system_score_codex":0.00005586316,"about_ca_system_score_gemma":0.000021723807,"threshold_uncertainty_score":0.74867624},"labels":[],"label_agreement":null},{"id":"W2668970737","doi":"10.1017/fms.2019.24","title":"FREE FINITE GROUP ACTIONS ON RATIONAL HOMOLOGY 3-SPHERES","year":2019,"lang":"en","type":"preprint","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; University of British Columbia","funders":"","keywords":"SPHERES; Homology (biology); Group (periodic table); Finite group; Mathematics; Pure mathematics; Physics; Biology; Genetics; Quantum mechanics","score_opus":0.06253972763244313,"score_gpt":0.3103506992228326,"score_spread":0.24781097159038945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2668970737","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3910043,0.0007326367,0.48256275,0.0064791543,0.0066779433,0.0042487704,0.0024546054,0.0006649791,0.10517486],"genre_scores_gemma":[0.8776462,0.000059165217,0.11351773,0.00025216665,0.0003091787,0.00018657318,0.00020120892,0.00014911228,0.0076786256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99716717,0.00011294649,0.0010798587,0.00053533516,0.00059663976,0.0005080531],"domain_scores_gemma":[0.99204385,0.004682252,0.0011368358,0.0018536194,0.00018559623,0.0000978277],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004508302,0.0004927198,0.0011558593,0.00050069485,0.00010748294,0.00003403489,0.0010643285,0.00079004094,0.0024069287],"category_scores_gemma":[0.0032569133,0.0004447222,0.00045500815,0.00026054136,0.00022114922,0.000055665256,0.0011170242,0.0008744725,0.00020185858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024525554,0.001251894,0.0002253289,0.0015996024,0.00036656702,0.000007810204,0.0006430505,0.0011129187,0.000053325486,0.9306682,0.06366839,0.0003784315],"study_design_scores_gemma":[0.00069957715,0.00034451552,0.000095496864,0.00031895225,0.00015993614,0.000023413671,0.0014138396,0.00220798,0.0003822415,0.9919193,0.0020313128,0.00040347897],"about_ca_topic_score_codex":0.000033990596,"about_ca_topic_score_gemma":0.00010094556,"teacher_disagreement_score":0.48664194,"about_ca_system_score_codex":0.00008487763,"about_ca_system_score_gemma":0.00017583287,"threshold_uncertainty_score":0.99980044},"labels":[],"label_agreement":null},{"id":"W269992417","doi":"","title":"Toroidal Manifolds and Dehn Fillings on Links","year":2007,"lang":"en","type":"article","venue":"Kyungpook mathematical journal","topic":"Geometric and Algebraic Topology","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 Moncton","funders":"","keywords":"Torus; Mathematics; Isotopy; Combinatorics; Boundary (topology); Manifold (fluid mechanics); Surface (topology); Intersection (aeronautics); Toroid; Dehn surgery; Geometry; Pure mathematics; Mathematical analysis; Physics","score_opus":0.0320239614134498,"score_gpt":0.30742250141594457,"score_spread":0.27539854000249475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W269992417","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8422334,0.00025094234,0.10316378,0.0013610844,0.0003745065,0.00023828252,0.000003303355,0.00012597995,0.052248683],"genre_scores_gemma":[0.94425035,0.000040013612,0.050757356,0.00075537025,0.0006189803,0.0000018665443,8.2586024e-7,0.000054362063,0.0035208664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784005,0.000056444584,0.00072625245,0.00024322265,0.0005122517,0.00062179007],"domain_scores_gemma":[0.99718183,0.001806065,0.00023748308,0.00024852908,0.000094382835,0.0004316837],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019136977,0.00025968006,0.0004526152,0.00029944594,0.00023264867,0.00009989907,0.00023008526,0.000356161,0.0014973269],"category_scores_gemma":[0.0014105678,0.00019271621,0.00014837753,0.00020916975,0.00014893073,0.00010431547,0.00008661488,0.0010349364,0.0002493315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050105846,0.00039338725,0.0003181385,0.00011601233,0.00010109112,0.0003469297,0.00111156,6.741578e-7,0.00021176161,0.9782792,0.006341434,0.012729727],"study_design_scores_gemma":[0.0007994763,0.0003589084,0.0009369361,0.00013410531,0.00007350076,0.002128857,0.0005013592,0.00010205826,0.00062773976,0.9921183,0.0019394108,0.0002793298],"about_ca_topic_score_codex":0.0000011319037,"about_ca_topic_score_gemma":0.0000021355877,"teacher_disagreement_score":0.10201692,"about_ca_system_score_codex":0.00006778803,"about_ca_system_score_gemma":0.00003323508,"threshold_uncertainty_score":0.99941546},"labels":[],"label_agreement":null},{"id":"W2725160677","doi":"10.2140/gt.2023.27.1273","title":"Floer theory and reduced cohomology on open manifolds","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; Hebrew University of Jerusalem","keywords":"Mathematics; Symplectic geometry; Floer homology; Pure mathematics; Cohomology; Monotone polygon; Bounded function; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.05195780182864832,"score_gpt":0.349554269340187,"score_spread":0.2975964675115387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2725160677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97201973,0.00014962445,0.0003611386,0.0041608643,0.0013758366,0.00051111716,0.000018899647,0.0002698937,0.021132909],"genre_scores_gemma":[0.9771209,0.00009677039,0.000943393,0.001428028,0.000234157,0.00010142398,0.000024034074,0.000050757902,0.020000568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974939,0.00051877444,0.0004098887,0.0006432121,0.00016063017,0.0007736016],"domain_scores_gemma":[0.9948506,0.0041468367,0.00015007287,0.0006420245,0.000052729025,0.00015773819],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0019112726,0.00027788605,0.0006522345,0.0010956717,0.00022903107,0.000040240193,0.000692981,0.00040533597,0.003290504],"category_scores_gemma":[0.0028366384,0.00024455367,0.00007881708,0.0014979877,0.00047565933,0.000078103876,0.00089310197,0.0003525278,0.001173936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013956218,0.00010096833,0.0015700185,0.000031410447,0.0001224364,0.00015559555,0.00024716402,0.0000012030624,0.00040523865,0.9668446,0.02280258,0.007579212],"study_design_scores_gemma":[0.0011431486,0.0006418647,0.028358432,0.00001130756,0.00006438169,0.0003463727,0.0008090212,0.000009086099,0.0005260478,0.9439739,0.023781491,0.00033492633],"about_ca_topic_score_codex":0.00007772876,"about_ca_topic_score_gemma":0.00001873281,"teacher_disagreement_score":0.026788414,"about_ca_system_score_codex":0.000039986557,"about_ca_system_score_gemma":0.00005355819,"threshold_uncertainty_score":0.99960375},"labels":[],"label_agreement":null},{"id":"W2728113263","doi":"10.1093/imrn/rnx338","title":"Smooth and Topological Almost Concordance","year":2018,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal; McMaster University","funders":"","keywords":"Concordance; Mathematics; Homotopy; Class (philosophy); Manifold (fluid mechanics); Modulo; Topology (electrical circuits); Space (punctuation); Fundamental group; Connected sum; Pure mathematics; Combinatorics; Topological space; Simply connected space; Computer science; Artificial intelligence; Medicine","score_opus":0.24887862644047776,"score_gpt":0.47863184805733777,"score_spread":0.22975322161686001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2728113263","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90114504,0.0006191915,0.005361498,0.0064935726,0.0020616765,0.0009467208,0.00014313585,0.0001903061,0.083038874],"genre_scores_gemma":[0.9168315,0.00031663358,0.07570791,0.00010640968,0.001131232,0.0001326505,0.000027772383,0.000059489124,0.00568641],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961173,0.00026519244,0.0007361407,0.00073393283,0.0015379185,0.0006095101],"domain_scores_gemma":[0.99222684,0.0054674577,0.0004034833,0.0006828913,0.0010157818,0.00020354253],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0028964898,0.00034777424,0.0006109285,0.00067620334,0.00021045013,0.0003546281,0.0015080576,0.00048219733,0.0017917647],"category_scores_gemma":[0.010183797,0.00028424527,0.00012578003,0.00025359873,0.00140509,0.00011038964,0.0032177542,0.0014022554,0.00024703282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005547176,0.0008110589,0.0012605035,0.0013635322,0.00041596877,0.0001209845,0.0021248378,0.0000084352705,0.000068103145,0.9694011,0.021565806,0.0028041506],"study_design_scores_gemma":[0.00030040837,0.00014564398,0.0006049362,0.00036326828,0.00003150503,0.00003170505,0.00078616216,0.0039844583,0.00017680976,0.9849711,0.008304825,0.0002991994],"about_ca_topic_score_codex":0.00008681528,"about_ca_topic_score_gemma":0.00004710606,"teacher_disagreement_score":0.077352464,"about_ca_system_score_codex":0.00015210953,"about_ca_system_score_gemma":0.00017646523,"threshold_uncertainty_score":0.99996096},"labels":[],"label_agreement":null},{"id":"W2735974687","doi":"10.1112/jlms.12125","title":"Concordance of knots in S1×S2","year":2018,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Hausdorff Research Institute for Mathematics","keywords":"Knot (papermaking); Concordance; Knot theory; Pairwise comparison; Class (philosophy); Winding number; Linking number","score_opus":0.03197295504613344,"score_gpt":0.3150549418070359,"score_spread":0.28308198676090246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2735974687","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9847639,0.00013770946,0.010670854,0.0017517129,0.00031708262,0.00014643028,0.0000022389636,0.000007915533,0.00220215],"genre_scores_gemma":[0.96476275,0.000026718997,0.0338924,0.00024565565,0.00023692404,0.0000014134378,5.70046e-8,0.000015233068,0.0008188408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982511,0.0001019312,0.00089005404,0.0000924558,0.00042460073,0.00023990357],"domain_scores_gemma":[0.9975874,0.0010638062,0.000767365,0.00029686262,0.00021602615,0.000068537585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011454024,0.00012426116,0.0005451284,0.000050900468,0.000052178828,0.00000966483,0.0005270569,0.00012458258,0.0005470979],"category_scores_gemma":[0.001932274,0.000071080976,0.0004714816,0.0005197693,0.00046221254,0.00007261369,0.0001354493,0.0003658043,0.00003387704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021297814,0.0028037536,0.016381864,0.0017051816,0.00068294065,0.000025750067,0.016063893,0.0000135286555,0.009917941,0.8066433,0.14023516,0.0053136963],"study_design_scores_gemma":[0.0011126758,0.00022340665,0.002306343,0.00029324926,0.000068653986,0.00014447383,0.00069866405,0.00033015598,0.0061599184,0.9873724,0.0011805026,0.00010954697],"about_ca_topic_score_codex":0.0000031440286,"about_ca_topic_score_gemma":0.0000026996347,"teacher_disagreement_score":0.18072909,"about_ca_system_score_codex":0.00006328511,"about_ca_system_score_gemma":0.00007710135,"threshold_uncertainty_score":0.59903383},"labels":[],"label_agreement":null},{"id":"W2740136473","doi":"10.4153/cmb-2017-081-9","title":"A note on concordance properties of fibers in Seifert homology spheres","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Homology (biology); Cobordism; Concordance; SPHERES; Pure mathematics; Biology; Bioinformatics; Amino acid; Physics; Genetics","score_opus":0.04650403298281377,"score_gpt":0.2863238733732917,"score_spread":0.2398198403904779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2740136473","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93258274,0.00008067179,0.00021708116,0.009056448,0.00015842741,0.00036758115,0.000013037481,0.000023384351,0.05750065],"genre_scores_gemma":[0.9929435,0.0000042542174,0.0026055332,0.00045597838,0.00004943761,0.000030208124,6.0539264e-7,0.000024724848,0.0038857053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986175,0.000069236135,0.00042586855,0.00025213294,0.00015487568,0.00048039726],"domain_scores_gemma":[0.99835205,0.00043560413,0.00019004632,0.00071747904,0.000052180425,0.00025266],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003179934,0.00017948131,0.00051781005,0.0002020288,0.00013323953,0.000029266184,0.0005301857,0.00017665165,0.006764774],"category_scores_gemma":[0.00503135,0.00014816182,0.000078712495,0.00008417955,0.0005332746,0.000022460395,0.00006067662,0.0002358609,0.0014425096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009346689,0.0003208247,0.0021709541,0.0009315017,0.000064652086,0.00038312605,0.0015375277,0.0000045308257,0.00024748564,0.94143796,0.048139125,0.0046688407],"study_design_scores_gemma":[0.0019247718,0.00043604546,0.0037804444,0.0011237308,0.00005235554,0.00011896921,0.0011001754,0.00020934887,0.0033536681,0.9566389,0.03053452,0.0007270876],"about_ca_topic_score_codex":0.0044434974,"about_ca_topic_score_gemma":0.012699799,"teacher_disagreement_score":0.060360834,"about_ca_system_score_codex":0.000105310566,"about_ca_system_score_gemma":0.00021397573,"threshold_uncertainty_score":0.999335},"labels":[],"label_agreement":null},{"id":"W274379984","doi":"10.1090/conm/675/13581","title":"Hurwitz equivalence for Lefschetz fibrations and their multisections","year":2016,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Equivalence (formal languages); Pure mathematics; Discrete mathematics","score_opus":0.0674399489656237,"score_gpt":0.3371321859514612,"score_spread":0.2696922369858375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W274379984","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00022626533,0.0009103263,0.6993361,0.0013534544,0.00022841725,0.002739128,0.00088695425,0.0010182793,0.29330105],"genre_scores_gemma":[0.007392547,0.00041561763,0.39016291,0.00038802283,0.0007770272,0.0010599488,0.00006960859,0.0013639678,0.5983704],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966175,0.00011471336,0.0011718097,0.0009086768,0.00039461136,0.0007927215],"domain_scores_gemma":[0.99177086,0.005187609,0.0013674203,0.0011362327,0.00013798846,0.0003999149],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00073685974,0.00096893945,0.0020266667,0.00026813056,0.00032013774,0.00010562933,0.0006118012,0.000543059,0.0021043806],"category_scores_gemma":[0.0015729829,0.00067565544,0.0008458284,0.00046484344,0.0018731513,0.00013620612,0.0003293092,0.00043312315,0.00018797588],"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":[0.0000075346543,0.00052148127,0.0000140958755,0.0027302222,0.0007140362,0.0000021667602,0.0018688614,5.166512e-8,0.00012472384,0.2900581,0.70221126,0.001747458],"study_design_scores_gemma":[0.0013360148,0.00030216508,0.00000421313,0.0012548835,0.00026120144,0.00006224029,0.0047059194,0.0012617041,0.000109152716,0.8223591,0.16701674,0.0013267047],"about_ca_topic_score_codex":0.00002304219,"about_ca_topic_score_gemma":0.000008340214,"teacher_disagreement_score":0.5351945,"about_ca_system_score_codex":0.00009275211,"about_ca_system_score_gemma":0.0002434193,"threshold_uncertainty_score":0.9995695},"labels":[],"label_agreement":null},{"id":"W2747502945","doi":"10.1090/proc/14166","title":"A polynomial time knot polynomial","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Nederlandse Organisatie voor Wetenschappelijk Onderzoek","keywords":"Knot polynomial; HOMFLY polynomial; Alexander polynomial; Knot (papermaking); Mathematics; Jones polynomial; Knot invariant; Time complexity; Alternating polynomial; Reciprocal polynomial; Polynomial; Matrix polynomial; Quantum invariant; Combinatorics; Knot theory; Square-free polynomial; Mathematical analysis; Engineering","score_opus":0.01691186954508481,"score_gpt":0.27789045416714614,"score_spread":0.2609785846220613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2747502945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97135407,0.000010044056,0.00020466928,0.0022483522,0.0000895836,0.00030859135,0.000008588216,0.0001253257,0.02565076],"genre_scores_gemma":[0.9558721,0.0000038467474,0.039160404,0.0006117847,0.0006189054,0.000019698335,2.6551157e-7,0.00004755121,0.003665425],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981536,0.0000148014715,0.0005368639,0.00032418562,0.0004505824,0.00051994395],"domain_scores_gemma":[0.9982237,0.0004611536,0.0006917247,0.00025043066,0.00023794774,0.00013502248],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000574774,0.0002542052,0.00069185556,0.00005163578,0.00021688404,0.00003605971,0.00080635125,0.00009772828,0.0005393418],"category_scores_gemma":[0.0012963227,0.00016702032,0.00054956914,0.0009792225,0.0024873938,0.00009346959,0.00046189892,0.00026053825,0.00021633218],"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":[0.00013785229,0.0007566902,0.0018474436,0.00036804625,0.0004341711,3.0687158e-7,0.0053666024,4.399483e-8,0.038753133,0.043251596,0.90577394,0.003310172],"study_design_scores_gemma":[0.0038007242,0.0028730726,0.009379699,0.00049055676,0.0012092583,0.0002895539,0.011344524,0.0033330577,0.11267065,0.8240687,0.02818499,0.0023551786],"about_ca_topic_score_codex":0.00001798434,"about_ca_topic_score_gemma":2.6683418e-7,"teacher_disagreement_score":0.8775889,"about_ca_system_score_codex":0.00007217993,"about_ca_system_score_gemma":0.00005427974,"threshold_uncertainty_score":0.9164906},"labels":[],"label_agreement":null},{"id":"W2748883484","doi":"10.4171/ggd/582","title":"Arcs on punctured disks intersecting at most twice with endpoints on the boundary","year":2020,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Hyperplane; Boundary (topology); Simple (philosophy); Combinatorics; Square (algebra); Pairwise comparison; Mathematics; Geometry; Mathematical analysis; Philosophy; Statistics","score_opus":0.03611699087682683,"score_gpt":0.2673737006423988,"score_spread":0.23125670976557197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2748883484","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9733572,0.00015937096,0.012578552,0.004007723,0.00095530506,0.00071564084,0.00025386258,0.00019093174,0.0077814083],"genre_scores_gemma":[0.99559116,0.00005916132,0.0011025794,0.0017161026,0.00032566203,0.00004870836,0.00021446853,0.00009280962,0.0008493483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972367,0.0001881765,0.00050665386,0.0009725816,0.000531749,0.0005640867],"domain_scores_gemma":[0.99581,0.0024828122,0.0005001414,0.00092281867,0.000072605515,0.0002116661],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00056873576,0.0006997383,0.000803157,0.0004265317,0.00049792975,0.0001871321,0.0005950202,0.00051914464,0.00017743316],"category_scores_gemma":[0.0014754278,0.00043432333,0.000181172,0.0008108656,0.00037703334,0.000047492584,0.0014373082,0.0021902386,0.00004555176],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0042517744,0.0011958097,0.011751316,0.0035139774,0.002661052,0.0007686809,0.009342988,0.00076043,0.00006946523,0.92639416,0.0089647565,0.030325564],"study_design_scores_gemma":[0.003026678,0.003576483,0.011374711,0.001562505,0.0009551394,0.00052556145,0.009701681,0.02738338,0.00025698295,0.9352551,0.0033806448,0.0030011418],"about_ca_topic_score_codex":0.000046365443,"about_ca_topic_score_gemma":0.00020252031,"teacher_disagreement_score":0.027324423,"about_ca_system_score_codex":0.00032188307,"about_ca_system_score_gemma":0.00008064717,"threshold_uncertainty_score":0.9998109},"labels":[],"label_agreement":null},{"id":"W2753582680","doi":"10.1093/imrn/rny093","title":"Isomorphisms Between Big Mapping Class Groups","year":2018,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; National Science Foundation","keywords":"Automorphism; Mathematics; Homeomorphism (graph theory); Isomorphism (crystallography); Class (philosophy); Automorphism group; Mapping class group; Pure mathematics; Type (biology); Outer automorphism group; Argument (complex analysis); Genus; Group (periodic table); Combinatorics; Surface (topology); Geometry; Computer science; Crystallography; Physics; Crystal structure; Artificial intelligence","score_opus":0.37661530020726813,"score_gpt":0.45848394761031774,"score_spread":0.08186864740304961,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2753582680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8147232,0.00023629183,0.064355284,0.009038787,0.005918201,0.0019404772,0.00034819424,0.0004896646,0.10294989],"genre_scores_gemma":[0.9125599,0.0000989721,0.07435392,0.00007464416,0.005248486,0.00021040601,0.00015756498,0.00015034332,0.007145746],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9931689,0.00041147202,0.0013622537,0.0009622458,0.0030903704,0.0010047948],"domain_scores_gemma":[0.98820394,0.007690216,0.0008257055,0.0012491919,0.0017425946,0.00028836372],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0052222563,0.0005356243,0.00096653565,0.002276484,0.00030759114,0.0005506889,0.0032756096,0.00077686796,0.002204327],"category_scores_gemma":[0.009465527,0.00048546836,0.0003383807,0.0006891015,0.0008959235,0.00014622306,0.004344314,0.0023395063,0.0016673167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067839595,0.0025215412,0.0060919737,0.0074734124,0.0046591293,0.00038627183,0.014615865,0.00010540294,0.00023556843,0.84305155,0.10359587,0.017195545],"study_design_scores_gemma":[0.0004085345,0.0000982756,0.000697391,0.00090359745,0.0000724767,0.000020623322,0.0013589994,0.0046279286,0.00025253245,0.97884744,0.012202535,0.0005096745],"about_ca_topic_score_codex":0.00013651596,"about_ca_topic_score_gemma":0.00004625687,"teacher_disagreement_score":0.13579585,"about_ca_system_score_codex":0.00043829056,"about_ca_system_score_gemma":0.00034802206,"threshold_uncertainty_score":0.99996215},"labels":[],"label_agreement":null},{"id":"W2760416013","doi":"","title":"Some Ζ 2 -actions on the Torus","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric and Algebraic Topology","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; Torus; Pure mathematics; Geometry","score_opus":0.3643040303791086,"score_gpt":0.4619318577032004,"score_spread":0.09762782732409181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2760416013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96137804,0.00021844107,0.0010702153,0.020143505,0.00039707567,0.00046640928,0.0000018178796,0.00001928168,0.01630523],"genre_scores_gemma":[0.9800789,0.0001591365,0.010852918,0.00017480744,0.00080034614,0.000029905415,1.3434277e-7,0.00003503119,0.007868854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976196,0.00024777785,0.0005571108,0.00008500326,0.0011103584,0.00038012574],"domain_scores_gemma":[0.9914838,0.007034088,0.00028557325,0.00040170172,0.0006597262,0.0001350817],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0035489418,0.000103343395,0.00027804787,0.0005190178,0.00024417375,0.0001016392,0.0005981868,0.00008576714,0.002116837],"category_scores_gemma":[0.006457945,0.000054375658,0.0001446715,0.0005062029,0.00019210785,0.00015889466,0.000102307575,0.0009416094,0.00081763125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004473921,0.00050950574,0.000020636751,0.000058444282,0.00007952776,0.0000132785135,0.0006997001,0.000002390764,0.00058900774,0.8371647,0.15974341,0.0011149248],"study_design_scores_gemma":[0.00019900638,0.00030283642,0.00016968654,0.000066105706,0.000012290163,0.00013835482,0.0036812765,0.00014757855,0.0009625567,0.9894681,0.004788559,0.00006363342],"about_ca_topic_score_codex":0.000011796146,"about_ca_topic_score_gemma":0.0000013328646,"teacher_disagreement_score":0.15495487,"about_ca_system_score_codex":0.0000858978,"about_ca_system_score_gemma":0.00010582971,"threshold_uncertainty_score":0.99996036},"labels":[],"label_agreement":null},{"id":"W276684084","doi":"","title":"Hamiltonian dynamics and symplectic capacities","year":2012,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Geometric and Algebraic Topology","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":"Symplectic geometry; Hamiltonian (control theory); Dynamics (music); Hamiltonian mechanics; Hamiltonian system; Symplectic integrator; Mathematical physics; Mathematics; Physics; Classical mechanics; Pure mathematics; Symplectic manifold; Quantum mechanics; Mathematical optimization","score_opus":0.024447773871483246,"score_gpt":0.24969818632427537,"score_spread":0.22525041245279212,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W276684084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6844733,0.0028815554,0.20339882,0.011082742,0.00061584235,0.0006259375,0.0001384822,0.00044130217,0.09634201],"genre_scores_gemma":[0.9346629,0.0004201629,0.048802864,0.000064669905,0.000038417405,0.00005005171,0.00015344024,0.00005793504,0.015749577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955873,0.0026285073,0.00047389622,0.00054051774,0.00030207887,0.0004677068],"domain_scores_gemma":[0.9938946,0.0030551339,0.00044561314,0.0015259484,0.0008679377,0.000210772],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003881633,0.00034833056,0.00049406546,0.00031248367,0.00031418033,0.00019550958,0.00067427545,0.00045725366,0.00023825985],"category_scores_gemma":[0.003410018,0.0003599739,0.0001440453,0.00031553072,0.00057736086,0.000091176706,0.0012683667,0.0008222137,0.00002788659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000028293514,0.00022849397,0.0028415981,0.00035517526,0.00009171538,0.0000022997874,0.010107213,0.0000011167326,0.000046309262,0.97152174,0.0007031846,0.01409832],"study_design_scores_gemma":[0.00094740116,9.034704e-7,0.01152169,0.0017698548,0.0003551177,0.00013926452,0.0019410361,0.010629854,0.004075079,0.9627601,0.0044883243,0.0013713723],"about_ca_topic_score_codex":0.0008182685,"about_ca_topic_score_gemma":0.002844806,"teacher_disagreement_score":0.25018957,"about_ca_system_score_codex":0.00015821392,"about_ca_system_score_gemma":0.00015569445,"threshold_uncertainty_score":0.9998852},"labels":[],"label_agreement":null},{"id":"W2767163839","doi":"10.1007/s10711-018-0374-x","title":"Metric transforms yielding Gromov hyperbolic spaces","year":2018,"lang":"en","type":"preprint","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Geodesic; Hyperbolic group; Metric space; Hyperbolic space; Pure mathematics; Metric (unit); Real line; Space (punctuation); Euclidean geometry; Mathematical analysis; Combinatorics; Hyperbolic manifold; Hyperbolic function; Geometry","score_opus":0.07554189130968941,"score_gpt":0.3326805025421808,"score_spread":0.2571386112324914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2767163839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90167564,0.010258781,0.04601321,0.0034832337,0.0080693085,0.002193967,0.00056129525,0.0010904613,0.0266541],"genre_scores_gemma":[0.9784146,0.0016170167,0.014196061,0.0003122215,0.0029304437,0.00015977601,0.0003890596,0.0001847493,0.0017961012],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9941568,0.0001851146,0.0013766879,0.0015369534,0.0013484374,0.0013960243],"domain_scores_gemma":[0.9936533,0.0023933433,0.0008733629,0.0022334273,0.00028585564,0.0005607269],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002788194,0.0009283535,0.0018383047,0.0068998914,0.00029751696,0.00023711224,0.0024574362,0.0015901473,0.0046072896],"category_scores_gemma":[0.010254071,0.0007917456,0.00070016464,0.0070117316,0.00050771324,0.00017063647,0.001725319,0.0018792334,0.00069452426],"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":[0.000361928,0.0033089207,0.011488255,0.007200864,0.0064834384,0.0005470944,0.004383564,0.000032594486,0.00032495352,0.07404427,0.67806596,0.21375813],"study_design_scores_gemma":[0.003849811,0.000845457,0.0044161743,0.00076445536,0.002041014,0.00032602245,0.0009459737,0.00023304617,0.004653793,0.8625799,0.11579248,0.0035518853],"about_ca_topic_score_codex":0.00028555482,"about_ca_topic_score_gemma":0.000028933042,"teacher_disagreement_score":0.7885356,"about_ca_system_score_codex":0.0002021169,"about_ca_system_score_gemma":0.00036228754,"threshold_uncertainty_score":0.999706},"labels":[],"label_agreement":null},{"id":"W2767364122","doi":"10.1142/s1793525319500456","title":"Limit sets of Weil–Petersson geodesics with nonminimal ending laminations","year":2018,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Limit (mathematics); Geodesic; Mathematics; Physics; Mathematical analysis","score_opus":0.03962610067433579,"score_gpt":0.32919656797172314,"score_spread":0.28957046729738734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2767364122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96889275,0.00035953897,0.028500592,0.0008684957,0.00023646794,0.00006495306,0.0000324484,0.000008256006,0.0010364786],"genre_scores_gemma":[0.97324556,0.00024841062,0.02590156,0.000037742608,0.00017369729,0.000001794368,0.000008648917,0.000013326584,0.00036928596],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827707,0.0001702559,0.0008264107,0.00023393639,0.00025833555,0.00023398398],"domain_scores_gemma":[0.99657637,0.00076470367,0.0018547494,0.00028512307,0.00042060504,0.000098420656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008469859,0.00022669161,0.0012319324,0.0016552972,0.00009663229,0.000019118706,0.00030323167,0.00039821255,0.00037778987],"category_scores_gemma":[0.0004773879,0.00016888183,0.00042765032,0.0006360083,0.0004949434,0.00006183013,0.00022229264,0.00060416106,0.0000011541778],"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":[0.0011399454,0.0025033809,0.741608,0.0022782164,0.08168242,0.0011057057,0.011443458,0.0012546037,0.0004623001,0.13272591,0.0054004136,0.018395612],"study_design_scores_gemma":[0.004995843,0.0064729718,0.1858383,0.00089755317,0.08690472,0.002568098,0.0068588625,0.0046237786,0.00488032,0.6924411,0.0013882178,0.0021302474],"about_ca_topic_score_codex":0.000020163261,"about_ca_topic_score_gemma":0.00004674512,"teacher_disagreement_score":0.55971515,"about_ca_system_score_codex":0.000039205246,"about_ca_system_score_gemma":0.00012138491,"threshold_uncertainty_score":0.6886801},"labels":[],"label_agreement":null},{"id":"W2769843865","doi":"10.1007/978-3-319-61199-0_3","title":"The Fundamental Group of a Profinite Graph","year":2017,"lang":"de","type":"book-chapter","venue":"Ergebnisse der Mathematik und ihrer Grenzgebiete","topic":"Geometric and Algebraic Topology","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":"Carleton University","funders":"","keywords":"Profinite group; Mathematics; Cayley graph; Discrete mathematics; Combinatorics; Graph; Pure mathematics; Group (periodic table); Physics","score_opus":0.04396371861580883,"score_gpt":0.3007876567940447,"score_spread":0.25682393817823584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2769843865","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02357272,0.13221933,0.008011408,0.006599158,0.018994404,0.017609388,0.0023989617,0.0011972899,0.78939736],"genre_scores_gemma":[0.22246876,0.015071269,0.018458406,0.0005337109,0.002992675,0.00089349534,0.00051782647,0.0017546115,0.7373092],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9911358,0.0002471497,0.0033228514,0.0016290849,0.0018539258,0.001811196],"domain_scores_gemma":[0.98595583,0.0029362836,0.0053479853,0.0046660197,0.00053725863,0.0005566447],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","insufficient_payload"],"category_scores_codex":[0.0021973997,0.0021277189,0.0030788262,0.0009526356,0.0022342806,0.0005307267,0.0032281824,0.0015502995,0.003180499],"category_scores_gemma":[0.0011146304,0.001565864,0.0016780766,0.00026235633,0.003115451,0.00036108843,0.0012824198,0.0018849766,0.00309619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002265412,0.0005580201,0.00010756204,0.0020494475,0.0046684803,0.0001313995,0.0016814161,4.307195e-7,0.0001615244,0.9734206,0.011037212,0.005957352],"study_design_scores_gemma":[0.0020568268,0.0007339447,0.00013840248,0.0015786835,0.0025910751,0.00014585753,0.00040773823,0.00008717673,0.0003083298,0.7820669,0.2082797,0.0016053815],"about_ca_topic_score_codex":0.000058092588,"about_ca_topic_score_gemma":0.00011797699,"teacher_disagreement_score":0.19889604,"about_ca_system_score_codex":0.00016039883,"about_ca_system_score_gemma":0.00029349455,"threshold_uncertainty_score":0.9997459},"labels":[],"label_agreement":null},{"id":"W2770432992","doi":"10.1112/jlms.12189","title":"Quasi‐isometric groups with no common model geometry","year":2018,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Azrieli Foundation; Israel Science Foundation","keywords":"Geodesic; Mathematics; Boundary (topology); Metric (unit); Surface (topology); Simple (philosophy); Pure mathematics; Space (punctuation); Metric space; Mathematical analysis; Geometry; Computer science","score_opus":0.028036434516691498,"score_gpt":0.288075598277575,"score_spread":0.2600391637608835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770432992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8334195,0.00014454444,0.16028908,0.0017471705,0.00032295572,0.00025151082,0.0000049147507,0.000040976778,0.0037793175],"genre_scores_gemma":[0.8861867,0.000031036332,0.10978758,0.0007093509,0.0005735281,0.0000030542506,2.4452515e-7,0.000048754002,0.002659756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973729,0.00011574298,0.0008874063,0.00018402051,0.0009685137,0.0004713979],"domain_scores_gemma":[0.9964533,0.0013623717,0.0009121429,0.00056928967,0.00050338876,0.00019952563],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001611245,0.0002684182,0.0007739025,0.00018066386,0.00026642144,0.00005652726,0.0008998892,0.00021957619,0.00044134993],"category_scores_gemma":[0.0016191504,0.00013697142,0.00068751065,0.0017281872,0.0005566479,0.00017171417,0.00023619342,0.0007340239,0.0001218136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046631417,0.0074198297,0.0069038873,0.0015967647,0.0021390954,0.000037547685,0.0063170656,0.0001371684,0.0008890347,0.7704458,0.19994254,0.0037049295],"study_design_scores_gemma":[0.0018184934,0.0013964984,0.0005093968,0.00022978935,0.0003934192,0.00064173545,0.0005910084,0.014452822,0.0007384031,0.97803515,0.00085244305,0.00034081354],"about_ca_topic_score_codex":0.0000019328531,"about_ca_topic_score_gemma":0.0000017744899,"teacher_disagreement_score":0.20758936,"about_ca_system_score_codex":0.00013367152,"about_ca_system_score_gemma":0.00013276277,"threshold_uncertainty_score":0.5585532},"labels":[],"label_agreement":null},{"id":"W2770439248","doi":"10.1090/pspum/102","title":"Breadth in Contemporary Topology","year":2019,"lang":"en","type":"book","venue":"Proceedings of symposia in pure mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Knot (papermaking); Topology (electrical circuits); Period (music); Welding; Mathematics; Computer science; Engineering; Combinatorics; Art; Aesthetics; Mechanical engineering; Pulp and paper industry","score_opus":0.04560473590849499,"score_gpt":0.2892555828580009,"score_spread":0.24365084694950592,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770439248","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03497357,0.0013527621,0.000036852838,0.0004565577,0.00037041865,0.0017760175,0.000036238704,0.00009943816,0.96089816],"genre_scores_gemma":[0.18661737,0.00043171644,0.023818476,0.00020311475,0.00039850478,0.00022168251,0.00004830427,0.0004549306,0.7878059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962332,0.000012822456,0.0019614499,0.0006349187,0.0005531945,0.0006043884],"domain_scores_gemma":[0.99672574,0.0010461037,0.0015114762,0.0003502811,0.00027155483,0.00009485564],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0010546786,0.0006648447,0.002274925,0.0016971845,0.00002326734,0.00003138592,0.0009135848,0.0013206659,0.00018067172],"category_scores_gemma":[0.0008067115,0.00063357805,0.00025055188,0.0005874478,0.00030208818,0.00017229612,0.00034547783,0.0010718728,0.000079916805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023595861,0.00045432587,0.0014283705,0.006830886,0.000086675274,0.000026832471,0.0023704988,3.4601322e-7,0.00009695082,0.9531807,0.035385005,0.00011581969],"study_design_scores_gemma":[0.001256155,0.00026353684,0.000059661957,0.00238313,0.00008073574,0.00014271202,0.0010099938,0.000056968576,0.00019450957,0.98471296,0.009200421,0.0006391882],"about_ca_topic_score_codex":0.000014192415,"about_ca_topic_score_gemma":0.000011130967,"teacher_disagreement_score":0.17309225,"about_ca_system_score_codex":0.0003082066,"about_ca_system_score_gemma":0.00044103074,"threshold_uncertainty_score":0.9999758},"labels":[],"label_agreement":null},{"id":"W2772783639","doi":"10.1090/proc/13887","title":"Helson Sets of Synthesis Are Ditkin Sets","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Computer science","score_opus":0.03721482035273651,"score_gpt":0.3135187721006351,"score_spread":0.2763039517478986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2772783639","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98890257,0.000018424409,0.00018368379,0.0028290593,0.00005043922,0.00026220104,0.00002303373,0.00004611317,0.0076844995],"genre_scores_gemma":[0.97217137,0.000030467521,0.027243432,0.00010668215,0.000040066636,0.00002903723,1.1050423e-7,0.000032532003,0.00034630168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998237,0.000012630062,0.0005493369,0.00027844383,0.0005590578,0.00036351287],"domain_scores_gemma":[0.9956131,0.0010968013,0.0024166175,0.00052004046,0.00025848727,0.00009493977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077534665,0.00022773787,0.00091161043,0.000037741454,0.00029764025,0.0000435518,0.001341622,0.00010366106,0.00010208048],"category_scores_gemma":[0.0073711677,0.00014839153,0.00058490376,0.00028767114,0.0017079075,0.00012465636,0.00060408824,0.0002483616,0.000011414587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010990505,0.0023456307,0.08397258,0.008451178,0.0014187347,0.0000018487104,0.0073173405,7.362703e-7,0.016614132,0.8168038,0.04921709,0.01374699],"study_design_scores_gemma":[0.00026627094,0.00009483797,0.031891715,0.00048898073,0.00027351957,0.000017079572,0.0047401255,0.00026495595,0.033258196,0.92831504,0.00010852254,0.0002807749],"about_ca_topic_score_codex":0.000030430496,"about_ca_topic_score_gemma":8.7166774e-7,"teacher_disagreement_score":0.111511186,"about_ca_system_score_codex":0.000040339524,"about_ca_system_score_gemma":0.000027868637,"threshold_uncertainty_score":0.8824509},"labels":[],"label_agreement":null},{"id":"W2774605976","doi":"10.1007/s40687-025-00585-9","title":"A geometric quantisation view on the AJ-conjecture for the Teichmüller TQFT","year":2025,"lang":"en","type":"preprint","venue":"Research in the Mathematical Sciences","topic":"Geometric and Algebraic Topology","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":"HORIZON EUROPE European Research Council; Danmarks Grundforskningsfond; Simons Foundation","keywords":"Conjecture; Topological quantum field theory; Mathematics; Pure mathematics","score_opus":0.5397049805465272,"score_gpt":0.5365533491477759,"score_spread":0.003151631398751298,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2774605976","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13259141,0.0075245406,0.09111661,0.6069965,0.001942693,0.026900647,0.00018269596,0.00024751175,0.1324974],"genre_scores_gemma":[0.988907,0.0004168257,0.0042322725,0.0009750458,0.0003971284,0.0022961,0.0000036092395,0.000023207007,0.002748813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9937081,0.0016802534,0.0006742648,0.000673555,0.0022743228,0.0009895302],"domain_scores_gemma":[0.89888066,0.09951609,0.00019725529,0.0011635515,0.00018205089,0.000060419974],"candidate_categories":["metaresearch"],"consensus_categories":["metaresearch"],"category_scores_codex":[0.035670318,0.00031098194,0.00054261443,0.001043949,0.0012799612,0.00051258894,0.004340026,0.0003159021,0.00046614808],"category_scores_gemma":[0.030384632,0.00011285665,0.00027383544,0.0055089816,0.0018939121,0.000046838457,0.001163311,0.0019735007,0.000107589076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009437854,0.00021409859,0.00001841154,0.0006219502,0.000039002553,0.0000018376078,0.0012243635,0.000063139996,8.936779e-7,0.9783137,0.010957382,0.008535813],"study_design_scores_gemma":[0.0001319385,0.00020089805,0.00017314019,0.00048690208,0.000032727865,0.0000069379134,0.0021760894,0.004504497,0.000032249172,0.98828876,0.00382478,0.00014106468],"about_ca_topic_score_codex":0.000085902,"about_ca_topic_score_gemma":0.00003688597,"teacher_disagreement_score":0.8563156,"about_ca_system_score_codex":0.00011772566,"about_ca_system_score_gemma":0.00045018503,"threshold_uncertainty_score":0.99298036},"labels":[],"label_agreement":null},{"id":"W2780204841","doi":"10.1007/978-3-319-61199-0_15","title":"Conjugacy Separability in Amalgamated Products","year":2017,"lang":"de","type":"book-chapter","venue":"Ergebnisse der Mathematik und ihrer Grenzgebiete","topic":"Geometric and Algebraic Topology","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":"Carleton University","funders":"","keywords":"Free product; Conjugacy class; Profinite group; Mathematics; Separable space; Action (physics); Product (mathematics); Group (periodic table); Finitely-generated abelian group; Pure mathematics; Geometry","score_opus":0.06092361737244525,"score_gpt":0.32743032709111114,"score_spread":0.2665067097186659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2780204841","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.097030684,0.0419826,0.0021096487,0.010431994,0.01370042,0.020290162,0.0013707995,0.002255793,0.8108279],"genre_scores_gemma":[0.33576038,0.0036565976,0.02823026,0.00077660696,0.00304002,0.00080880604,0.00085607375,0.0018253333,0.6250459],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9879008,0.00039596058,0.0041234707,0.0033852546,0.0016710762,0.002523423],"domain_scores_gemma":[0.9862537,0.0017095474,0.0038216903,0.0064509176,0.0010132564,0.00075091544],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0029432594,0.0029818674,0.00490378,0.0017844803,0.00089715864,0.00059796864,0.0028568215,0.0026218318,0.010125508],"category_scores_gemma":[0.0036942402,0.002857936,0.0009189641,0.0004764898,0.001815524,0.00070332113,0.0012094358,0.0030127005,0.011919887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004266384,0.0020819986,0.00068598386,0.006808958,0.0029369798,0.0011830771,0.0044339523,0.0000035308406,0.0004269054,0.95763546,0.017837152,0.0055393404],"study_design_scores_gemma":[0.005339707,0.0006297024,0.0017010475,0.0040083323,0.0025080342,0.00030086527,0.0002469716,0.0005076916,0.0014270324,0.8352701,0.14347816,0.004582378],"about_ca_topic_score_codex":0.00013641444,"about_ca_topic_score_gemma":0.00015296804,"teacher_disagreement_score":0.2387297,"about_ca_system_score_codex":0.00050494197,"about_ca_system_score_gemma":0.0007219272,"threshold_uncertainty_score":0.99928737},"labels":[],"label_agreement":null},{"id":"W2783059397","doi":"10.48550/arxiv.1801.04750","title":"The visual boundary of hyperbolic free-by-cyclic groups","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Boundary (topology); Mathematics; Geology; Mathematical analysis","score_opus":0.0641827825427427,"score_gpt":0.22371462846972798,"score_spread":0.15953184592698527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2783059397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.981179,0.0003860273,0.011192951,0.00014551819,0.00076541334,0.00030503306,0.00005943933,0.000111618254,0.0058549885],"genre_scores_gemma":[0.9934733,0.0003982873,0.00021131078,0.000048652295,0.00020257795,0.0000011833057,0.000016232307,0.000039606562,0.0056088683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982172,0.00020364394,0.00035737478,0.0006354237,0.00013398353,0.00045235225],"domain_scores_gemma":[0.99697334,0.00089751766,0.0005106094,0.001317501,0.00016950685,0.00013150713],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004467776,0.00033406,0.0005397554,0.0002516898,0.00030854536,0.00004043427,0.0015151933,0.00045844668,0.00021103024],"category_scores_gemma":[0.00054763415,0.00028876986,0.00030417918,0.00060135615,0.000982689,0.000068980946,0.0018281204,0.00059949845,0.000086509695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027788707,0.00091855,0.008359406,0.00056955183,0.0012077878,0.00014784923,0.00070144853,0.00013458036,0.00019937959,0.88234085,0.10308447,0.0020582296],"study_design_scores_gemma":[0.0007831111,0.00017773501,0.0010681472,0.00006156277,0.0002826233,0.000008458621,0.0004217283,0.0012790998,0.00035335377,0.98608196,0.009056805,0.0004254197],"about_ca_topic_score_codex":0.00016391365,"about_ca_topic_score_gemma":0.0000797613,"teacher_disagreement_score":0.103741094,"about_ca_system_score_codex":0.00011060192,"about_ca_system_score_gemma":0.00017492638,"threshold_uncertainty_score":0.9999564},"labels":[],"label_agreement":null},{"id":"W2787536425","doi":"10.1215/17358787-2019-0009","title":"On uniform connectivity of algebraic matrix sets","year":2019,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Geometric and Algebraic Topology","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":"Division of Mathematical Sciences; University of Toronto","keywords":"Combinatorics; Mathematics; Matrix (chemical analysis); Algebraic number; Mathematical analysis","score_opus":0.020830111164240123,"score_gpt":0.31193750408441423,"score_spread":0.2911073929201741,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2787536425","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96014184,0.0000812656,0.034712292,0.00042270753,0.00007290442,0.0001330383,0.000008893552,0.000014432195,0.0044126543],"genre_scores_gemma":[0.9884782,0.000011265442,0.010610279,0.000045171968,0.000032808068,0.000001254558,0.0000013972806,0.000018386425,0.0008012526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99730164,0.00017017248,0.0012422758,0.00019371575,0.0007875395,0.00030464417],"domain_scores_gemma":[0.99446785,0.0033986547,0.0011562732,0.00048512346,0.00031707453,0.00017499177],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017810042,0.00022503585,0.0015024041,0.0012681857,0.000038766473,0.000017798948,0.00042812113,0.00015316547,0.00489136],"category_scores_gemma":[0.0022609609,0.00015490499,0.000970853,0.0018698676,0.00010251579,0.00011800349,0.00006939467,0.00034561334,0.00015497275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012047206,0.0012711396,0.004307536,0.0004206265,0.0042513846,0.000040449762,0.00035451766,0.0003181713,0.00019990653,0.9866073,0.0010615655,0.0010469141],"study_design_scores_gemma":[0.000954915,0.00061320345,0.0023342664,0.00009942952,0.0027196265,0.00010609433,0.00043264244,0.0026690192,0.000780438,0.98902583,0.00005072985,0.00021381101],"about_ca_topic_score_codex":0.0000059401723,"about_ca_topic_score_gemma":0.0000042607235,"teacher_disagreement_score":0.028336372,"about_ca_system_score_codex":0.000064344225,"about_ca_system_score_gemma":0.00006735795,"threshold_uncertainty_score":0.9960183},"labels":[],"label_agreement":null},{"id":"W2788865931","doi":"10.1007/s00454-020-00230-y","title":"Equivelar Toroids with Few Flag-Orbits","year":2021,"lang":"en","type":"preprint","venue":"Discrete & Computational Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Toroid; Torus; Tessellation (computer graphics); Quotient; Mathematics; Flag (linear algebra); Geometry; Dimension (graph theory); Euclidean space; Tetrahedron; Combinatorics; Space (punctuation); Polytope; Euclidean geometry; Orbit (dynamics); Physics; Pure mathematics; Algebra over a field; Computer science; Quantum mechanics","score_opus":0.037414859234279056,"score_gpt":0.3168305712470329,"score_spread":0.27941571201275384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2788865931","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74559575,0.0016603919,0.24339098,0.00082399725,0.0009594827,0.0005566534,0.00019882624,0.00027340153,0.006540486],"genre_scores_gemma":[0.90896267,0.00003191433,0.087014124,0.00035945815,0.0004364576,0.00006611674,0.0012618188,0.000103142906,0.0017643002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962146,0.00018555613,0.00074808527,0.0010818995,0.0011320563,0.00063776213],"domain_scores_gemma":[0.9967172,0.0011922088,0.0005335826,0.00070929603,0.00058812095,0.0002595977],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004461341,0.0006461601,0.0010110638,0.000780865,0.00020125334,0.00022826588,0.00065219944,0.0005280284,0.0015122241],"category_scores_gemma":[0.0005808082,0.000575586,0.00035495553,0.0012747844,0.00024390544,0.00013837856,0.0012313932,0.0011114301,0.00009020578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045230356,0.0022250602,0.024740944,0.006329451,0.0073358375,0.0022813366,0.0055524623,0.1523606,0.000080289654,0.7509119,0.027570484,0.02015936],"study_design_scores_gemma":[0.0033375248,0.0006186981,0.057762887,0.0013546498,0.00094083446,0.0005697593,0.0030030273,0.009943313,0.00021138322,0.91600686,0.0028362293,0.0034148328],"about_ca_topic_score_codex":0.00007371025,"about_ca_topic_score_gemma":0.000018989822,"teacher_disagreement_score":0.165095,"about_ca_system_score_codex":0.0001739691,"about_ca_system_score_gemma":0.00064822036,"threshold_uncertainty_score":0.99966955},"labels":[],"label_agreement":null},{"id":"W2790660003","doi":"10.4171/ggd/59","title":"Combination of quasiconvex subgroups of relatively hyperbolic groups","year":2009,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Quasiconvex function; Relatively hyperbolic group; Hyperbolic group; Group (periodic table); Type (biology)","score_opus":0.01780955877955986,"score_gpt":0.2625647788138139,"score_spread":0.24475522003425404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2790660003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97247493,0.00034732415,0.02386936,0.00028049547,0.00013762512,0.00019627881,0.000030428384,0.000048257312,0.002615326],"genre_scores_gemma":[0.9962322,0.00010224709,0.0032549403,0.00006603019,0.00003432285,0.0000028593793,0.00003091836,0.000016284712,0.0002602045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984307,0.00008481652,0.0006330963,0.00027649754,0.00028538736,0.00028944702],"domain_scores_gemma":[0.99833596,0.0006589889,0.00045153897,0.00031347552,0.00014679022,0.00009322183],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005536597,0.00021381272,0.0006028833,0.00064188446,0.00007594089,0.000009965652,0.00020110085,0.00024109508,0.000051171635],"category_scores_gemma":[0.0006038064,0.00020201453,0.00011883686,0.0012791654,0.00024116809,0.00017428085,0.00006559657,0.00023450778,0.0000037387608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044930286,0.00046675617,0.019496957,0.0001401419,0.000047913338,0.0000033038962,0.00048356288,0.0000038578205,0.00023620954,0.96605754,0.000050028764,0.012968821],"study_design_scores_gemma":[0.0013556211,0.00089005876,0.19888018,0.000046708705,0.00009346416,0.0000401256,0.0009502639,0.0034425019,0.00034687153,0.79366076,0.000028615937,0.00026479905],"about_ca_topic_score_codex":0.000022429496,"about_ca_topic_score_gemma":0.000009921149,"teacher_disagreement_score":0.17938323,"about_ca_system_score_codex":0.000041517087,"about_ca_system_score_gemma":0.000022622095,"threshold_uncertainty_score":0.8237914},"labels":[],"label_agreement":null},{"id":"W2791799686","doi":"10.1007/s00208-018-1656-1","title":"On the classification of topological 4-manifolds with finite fundamental group: corrigendum","year":2018,"lang":"en","type":"erratum","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mistake; Mathematics; Lemma (botany); Fundamental group; Topological group; Group (periodic table); Pure mathematics; Topology (electrical circuits); Combinatorics; Physics; Biology; Ecology","score_opus":0.10905153229295264,"score_gpt":0.30697650090526396,"score_spread":0.19792496861231132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2791799686","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14726217,0.0015379969,0.019675862,0.007814203,0.016200988,0.0045471396,0.0008482584,0.0006757434,0.8014376],"genre_scores_gemma":[0.44031045,0.0002064282,0.005305162,0.000833682,0.0018965338,0.00033582372,0.00043082834,0.00023604059,0.5504451],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971135,0.00024432119,0.00076082547,0.0005867706,0.0007850298,0.00050950417],"domain_scores_gemma":[0.9957726,0.0016753095,0.001088171,0.0011752526,0.00018858541,0.000100098994],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00086240325,0.0005523322,0.0009146791,0.00029985647,0.00022461514,0.0000519638,0.000918339,0.00072906306,0.005071243],"category_scores_gemma":[0.0010651478,0.00030427804,0.0002548158,0.00051756756,0.00071303203,0.000066567736,0.00019852282,0.0009581374,0.00048572544],"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":[0.0000374337,0.00029621617,0.0000441712,0.00021073151,0.00017513453,0.000009929912,0.00036774357,8.286009e-8,0.000012410897,0.3602267,0.63848,0.00013941688],"study_design_scores_gemma":[0.000911404,0.0035090235,0.0037245448,0.001290492,0.00058408774,0.00014346413,0.0019549937,0.00030351878,0.00017838263,0.7108115,0.2754388,0.0011497776],"about_ca_topic_score_codex":0.000017456669,"about_ca_topic_score_gemma":0.000041287865,"teacher_disagreement_score":0.36304122,"about_ca_system_score_codex":0.000058242233,"about_ca_system_score_gemma":0.00010477563,"threshold_uncertainty_score":0.99994093},"labels":[],"label_agreement":null},{"id":"W2795085407","doi":"10.1007/s10711-018-0346-1","title":"$$\\mathbf {Aut(F}_2\\mathbf )$$ puzzles","year":2018,"lang":"la","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Japan Society for the Promotion of Science; Agence Nationale de la Recherche","keywords":"Combinatorics; Automorphism group; Automorphism; Group (periodic table); Mathematics; Physics; Quantum mechanics","score_opus":0.056096994793653196,"score_gpt":0.3395750411966511,"score_spread":0.2834780464029979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795085407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77607906,0.023166064,0.028557844,0.02014056,0.018691827,0.0037905488,0.0019825192,0.0016611851,0.12593041],"genre_scores_gemma":[0.96052694,0.0014712283,0.00982461,0.0016421374,0.0074021923,0.000080280784,0.00040705857,0.00028274706,0.01836279],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9909155,0.00044948046,0.0022434038,0.0018686394,0.0018561337,0.002666877],"domain_scores_gemma":[0.9903985,0.00298171,0.0012898779,0.0034415142,0.00070803065,0.0011803687],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0037490267,0.0011960374,0.0019930517,0.004006883,0.0009124304,0.0003500372,0.002938462,0.0014053414,0.032997698],"category_scores_gemma":[0.014962059,0.0011185309,0.0006848843,0.009834767,0.00231303,0.00043478212,0.0016912001,0.0012750002,0.022133758],"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":[0.00024622475,0.0021692892,0.0023108323,0.0009692062,0.0014625272,0.00028811462,0.002473873,9.716381e-7,0.00042969192,0.12312351,0.779672,0.08685373],"study_design_scores_gemma":[0.0063648904,0.0022530248,0.0057717045,0.00044804212,0.0014640882,0.00060190016,0.002326182,0.00051717256,0.0041442174,0.1193434,0.854121,0.0026443542],"about_ca_topic_score_codex":0.00026286385,"about_ca_topic_score_gemma":0.00008250011,"teacher_disagreement_score":0.18444791,"about_ca_system_score_codex":0.00026141646,"about_ca_system_score_gemma":0.00058581686,"threshold_uncertainty_score":0.99989104},"labels":[],"label_agreement":null},{"id":"W2795107462","doi":"10.4153/s0008439519000377","title":"Rigidity Properties for Hyperbolic Generalizations","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Rigidity (electromagnetism); Hyperbolic manifold; Relatively hyperbolic group; Hyperbolic group; Hyperbolic 3-manifold; Hyperbolic set; Hyperbolic space; Hyperbolic equilibrium point","score_opus":0.05460478405393781,"score_gpt":0.262676537161993,"score_spread":0.2080717531080552,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795107462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9438207,0.00008915563,0.008280829,0.007904896,0.00025010935,0.0013500316,0.00004956798,0.000121181896,0.03813351],"genre_scores_gemma":[0.957112,0.000002745895,0.010394771,0.0009011983,0.00013572637,0.00014193529,0.000009137862,0.00004671642,0.031255774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877506,0.00003783292,0.00030436396,0.00024541168,0.00013057742,0.00050677155],"domain_scores_gemma":[0.99875426,0.00036752978,0.000058789352,0.00036652616,0.00009726683,0.0003556018],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002643778,0.0001633979,0.00032628214,0.00019353886,0.00012884,0.000039373142,0.00023640688,0.00013797035,0.019299107],"category_scores_gemma":[0.0012334321,0.000134499,0.000109752145,0.00019445123,0.00008286702,0.000021756687,0.000026598322,0.00010223295,0.009180551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000038645944,0.00004904001,0.00022029266,0.00023404969,0.000029358416,0.0000024339872,0.00020413286,0.000003084043,0.00007711959,0.93482155,0.064134836,0.00022023772],"study_design_scores_gemma":[0.00055125204,0.0000868608,0.0001767786,0.00005866375,0.000051081744,0.000027540165,0.00015984547,0.00042962783,0.0004106009,0.7439232,0.25376776,0.0003567901],"about_ca_topic_score_codex":0.0004523426,"about_ca_topic_score_gemma":0.0004438114,"teacher_disagreement_score":0.19089836,"about_ca_system_score_codex":0.00008872553,"about_ca_system_score_gemma":0.00016089919,"threshold_uncertainty_score":0.9915909},"labels":[],"label_agreement":null},{"id":"W2795384126","doi":"","title":"Quadric Complexes","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"","keywords":"Quadric; Square (algebra); Mathematics; Bipartite graph; Cube (algebra); Combinatorics; Pure mathematics; Geometry","score_opus":0.21537323261500413,"score_gpt":0.2487693027258979,"score_spread":0.033396070110893766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795384126","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89989066,0.0001342232,0.057084534,0.00021490753,0.0010889074,0.0003760763,0.000053933232,0.00032138,0.04083535],"genre_scores_gemma":[0.97949785,0.00011216669,0.00090091646,0.00003786305,0.00015769083,6.462921e-7,0.000017567882,0.000030869738,0.019244425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985063,0.000102330094,0.00020210857,0.00073243986,0.00007462347,0.00038219654],"domain_scores_gemma":[0.9974386,0.00034234242,0.0004659685,0.0014940283,0.000111950794,0.00014710827],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023473488,0.0003200196,0.0005594498,0.0003658403,0.00028026113,0.000059034614,0.0012632991,0.00042588756,0.00054862694],"category_scores_gemma":[0.00038270655,0.0003487266,0.00028000292,0.0002100378,0.00029495577,0.000084515144,0.0013632493,0.00063281547,0.00031299275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024064791,0.00015366859,0.004593625,0.00021915525,0.00020561845,0.00036521544,0.00013382266,0.0008036796,0.000006346883,0.985122,0.007928189,0.00044459797],"study_design_scores_gemma":[0.0004547239,0.000035276516,0.002433254,0.000063089996,0.00020085865,0.000008964473,0.00013837857,0.0032685723,0.000027671334,0.9899469,0.0029836409,0.00043867907],"about_ca_topic_score_codex":0.00024614081,"about_ca_topic_score_gemma":0.000084773565,"teacher_disagreement_score":0.07960717,"about_ca_system_score_codex":0.00011043251,"about_ca_system_score_gemma":0.000124705,"threshold_uncertainty_score":0.99989647},"labels":[],"label_agreement":null},{"id":"W2795591575","doi":"10.1112/topo.70002","title":"Geometry of symplectic flux and Lagrangian torus fibrations","year":2024,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","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":"Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo; United States Pharmacopeia; Instituto Serrapilheira; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Simons Foundation; National Science Foundation","keywords":"Symplectic geometry; Torus; Lagrangian; Symplectomorphism; Flux (metallurgy); Geometry; Mathematics; Physics; Mathematical analysis; Materials science","score_opus":0.026500090449618728,"score_gpt":0.31926632640567887,"score_spread":0.29276623595606016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795591575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97875845,0.0046299314,0.009426358,0.0041973167,0.001073995,0.000057383597,0.000006332288,0.000018318939,0.001831889],"genre_scores_gemma":[0.99466056,0.00009767669,0.0034611663,0.000065707434,0.00023934159,6.2542136e-7,5.025042e-7,0.000010056901,0.0014643553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991466,0.00006431295,0.0004397307,0.00008595302,0.000111855836,0.00015156934],"domain_scores_gemma":[0.99859893,0.0009693064,0.00017768393,0.00010089325,0.00008781611,0.00006537614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036312346,0.00007971366,0.00031638943,0.0006358977,0.00003696798,0.000014172655,0.000109264285,0.000110256886,0.00071912224],"category_scores_gemma":[0.00076292263,0.000061486266,0.000103761355,0.00034515763,0.00015198014,0.000088416135,0.00003781687,0.00020794151,0.00000798654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033486245,0.00013446988,0.003221095,0.0004081253,0.00042984347,0.00018124515,0.0013416647,0.000004709966,0.0029086692,0.9551078,0.02320373,0.013025179],"study_design_scores_gemma":[0.0007538017,0.0014102466,0.0063273152,0.00013362673,0.00038797111,0.0048578307,0.00125328,0.00011778849,0.002985035,0.96500325,0.016567696,0.00020215531],"about_ca_topic_score_codex":0.000009491494,"about_ca_topic_score_gemma":0.000014280894,"teacher_disagreement_score":0.015902093,"about_ca_system_score_codex":0.000021974787,"about_ca_system_score_gemma":0.000086690656,"threshold_uncertainty_score":0.78738844},"labels":[],"label_agreement":null},{"id":"W2795620082","doi":"10.48550/arxiv.1711.04578","title":"Taut foliations in branched cyclic covers and left-orderable groups","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Fibered knot; Mathematics; Dehn surgery; Pure mathematics; Homology (biology); Covering space; Fundamental group; Knot (papermaking); Foliation (geology); Abelian group; Combinatorics","score_opus":0.11031676516431588,"score_gpt":0.23584176312181776,"score_spread":0.12552499795750188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2795620082","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9730541,0.000116416435,0.01468804,0.000246526,0.00038213728,0.0003489266,0.000027863942,0.000086702275,0.011049273],"genre_scores_gemma":[0.991624,0.0004295237,0.0004435033,0.00004802063,0.000052435495,8.5685326e-7,0.000016405822,0.000024621968,0.007360647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985599,0.000100141966,0.00022302727,0.00068703655,0.000064582964,0.0003653383],"domain_scores_gemma":[0.9982663,0.0003943102,0.00032773148,0.00082961353,0.000060401537,0.0001216648],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00027156618,0.00027685685,0.00050839235,0.00050839427,0.00022276038,0.00006221926,0.00052572595,0.0004381049,0.0001862618],"category_scores_gemma":[0.00050951494,0.0003280587,0.00012802925,0.00022720062,0.00020689238,0.00016429804,0.00069831667,0.00061826495,0.000039665836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006323092,0.00032052596,0.09843297,0.00041631103,0.0002659051,0.00036326877,0.0010270186,0.005642132,0.000025999972,0.8912171,0.0018103148,0.00041523358],"study_design_scores_gemma":[0.001358044,0.000033936205,0.01971616,0.00008529145,0.00015424569,0.0000087329145,0.00033214182,0.0067461324,0.000019421508,0.9703809,0.0007158232,0.00044917397],"about_ca_topic_score_codex":0.0005048008,"about_ca_topic_score_gemma":0.0007387588,"teacher_disagreement_score":0.07916381,"about_ca_system_score_codex":0.00014673549,"about_ca_system_score_gemma":0.0001269978,"threshold_uncertainty_score":0.99991715},"labels":[],"label_agreement":null},{"id":"W2798737648","doi":"10.1515/jgth-2018-2001","title":"Semi-free subgroups of a profinite surface group","year":2018,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation","keywords":"Profinite group; Mathematics; Normal subgroup; Group (periodic table); Free group; Pure mathematics; Physics","score_opus":0.034631086595059715,"score_gpt":0.29623060198944134,"score_spread":0.26159951539438164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2798737648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94399816,0.0026246936,0.045108136,0.00031623256,0.0026741226,0.0004268836,0.00006967785,0.000049033733,0.0047330763],"genre_scores_gemma":[0.9649204,0.000297088,0.03217311,0.000105236075,0.0012312097,0.00000494497,0.000007883369,0.0001001562,0.0011599854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99565065,0.0008181935,0.0018743185,0.0003634961,0.0008129782,0.0004803399],"domain_scores_gemma":[0.99165547,0.0025450983,0.0037324731,0.0012503377,0.00060726085,0.00020933362],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0063250205,0.0004833329,0.0015911454,0.00066712254,0.000075280375,0.000038508708,0.0018455401,0.00072194583,0.0007061317],"category_scores_gemma":[0.003460622,0.00038159845,0.0007811668,0.000431934,0.0005534848,0.00013511052,0.001364895,0.0015463375,0.00002192884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015032439,0.0017263062,0.0042923586,0.0028848343,0.002169774,0.00026845996,0.0032443458,0.000037462578,0.0021231289,0.9498105,0.029240312,0.002699294],"study_design_scores_gemma":[0.0012842624,0.00080893456,0.001365403,0.000649035,0.00044571524,0.0003096588,0.0005722401,0.000019138184,0.00054873223,0.99268943,0.0009523387,0.00035509618],"about_ca_topic_score_codex":0.000012919915,"about_ca_topic_score_gemma":0.0000075877515,"teacher_disagreement_score":0.042878967,"about_ca_system_score_codex":0.00012831154,"about_ca_system_score_gemma":0.00019333034,"threshold_uncertainty_score":0.99986356},"labels":[],"label_agreement":null},{"id":"W2799651526","doi":"10.1007/s11005-019-01157-z","title":"Asymptotic properties of the Hitchin–Witten connection","year":2019,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Geometric and Algebraic Topology","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 Saskatchewan","funders":"Danmarks Grundforskningsfond; National Research Foundation","keywords":"Connection (principal bundle); Mathematics; Toeplitz matrix; Pure mathematics; Genus; Operator (biology); Recursion (computer science); Mathematical physics; Differential operator; Geometry","score_opus":0.027682451158772062,"score_gpt":0.24133864887361806,"score_spread":0.213656197714846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799651526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98941773,0.0000111796935,0.0058162375,0.0021125474,0.00019718842,0.00038271546,8.058664e-7,0.000030250802,0.0020313552],"genre_scores_gemma":[0.9973388,6.4886035e-7,0.0016417445,0.0006347261,0.00006322045,0.00001331656,2.8554535e-7,0.000020176358,0.0002871301],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998885,0.00008895581,0.00036115164,0.00016869578,0.00026959958,0.0002266099],"domain_scores_gemma":[0.9989715,0.00038834222,0.00015335744,0.00043906452,0.00002494581,0.000022787985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024028405,0.00013718547,0.00035029126,0.00005314417,0.000029006409,0.00001010263,0.0002806644,0.00006470168,0.00009832807],"category_scores_gemma":[0.00035038844,0.000083865794,0.0001187082,0.00039286734,0.00014623809,0.00006725647,0.000104752595,0.00023395907,0.00011033024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018690032,0.00050157204,0.0065575745,0.0012417106,0.000068826914,0.0000017889868,0.0020277773,0.0001372817,0.040562227,0.9471664,0.0010104188,0.0007057281],"study_design_scores_gemma":[0.0004713053,0.000032820717,0.0012591762,0.0002584717,0.00003284411,0.000007964972,0.00025746587,0.0013010193,0.0130361365,0.98315424,0.000026580103,0.00016195247],"about_ca_topic_score_codex":0.000005764403,"about_ca_topic_score_gemma":8.772297e-7,"teacher_disagreement_score":0.035987858,"about_ca_system_score_codex":0.000036678153,"about_ca_system_score_gemma":0.000014886417,"threshold_uncertainty_score":0.3419948},"labels":[],"label_agreement":null},{"id":"W2802023461","doi":"10.22215/etd/2018-12633","title":"On Properties of Relatively Hyperbolic Groups","year":2018,"lang":"en","type":"dissertation","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Conjugacy problem; Relatively hyperbolic group; Finitely-generated abelian group; Stallings theorem about ends of groups; Hyperbolic group; Transitive relation; Conjugacy class; Quadratic equation; Word problem (mathematics education); Pure mathematics; Group (periodic table); Commutative property; Equivalence (formal languages); Torsion (gastropod); Hyperbolic manifold; Discrete mathematics; Combinatorics; Hyperbolic function; Mathematical analysis; Arithmetic; Geometry","score_opus":0.05615660585647,"score_gpt":0.29881229850709545,"score_spread":0.24265569265062545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2802023461","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82504857,0.00013902565,0.000040186136,0.000027610668,0.00037038678,0.00019000555,0.000002819042,0.00005013578,0.17413129],"genre_scores_gemma":[0.84833336,0.000016557164,0.0012229836,0.000031088748,0.00008776541,0.000016428132,0.000025614381,0.00003450944,0.15023169],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990082,0.000036937985,0.00035128958,0.00021505354,0.00022501189,0.00016353173],"domain_scores_gemma":[0.9991193,0.00016677206,0.00027951202,0.00025117528,0.00015073069,0.00003253855],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00013142586,0.00019624177,0.0004304571,0.0003104683,0.000042575677,0.0000054607763,0.00017487441,0.0003136311,0.0010941672],"category_scores_gemma":[0.00093566295,0.00013478384,0.00010511124,0.0002415005,0.0000711536,0.000028389844,0.000015410129,0.00018800017,0.0002215258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013506903,0.00022720986,0.000025166551,0.00060728216,0.00014368225,0.0000016970514,0.0032824147,6.192737e-8,0.0007023317,0.9801094,0.012728417,0.002037267],"study_design_scores_gemma":[0.0006025438,0.0008245812,0.0017086497,0.00061600364,0.00018527299,0.000005666404,0.0045743464,0.00001023096,0.05078407,0.93830633,0.001862719,0.00051958824],"about_ca_topic_score_codex":0.000031155258,"about_ca_topic_score_gemma":0.000054869863,"teacher_disagreement_score":0.050081737,"about_ca_system_score_codex":0.00001830907,"about_ca_system_score_gemma":0.00005761661,"threshold_uncertainty_score":0.999819},"labels":[],"label_agreement":null},{"id":"W2802919785","doi":"10.1017/s0305004120000201","title":"Divergence and quasi-isometry classes of random Gromov’s monsters","year":2021,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Divergence (linguistics); Isometry (Riemannian geometry); Mathematics; Function (biology); Subsequence; Combinatorics; Pure mathematics; Mathematical analysis; Evolutionary biology; Biology; Philosophy","score_opus":0.04085687589990207,"score_gpt":0.2813575921899902,"score_spread":0.24050071629008812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2802919785","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98381364,0.00066982454,0.0023399258,0.008155549,0.00029634693,0.00089120277,0.0000711883,0.00008176489,0.003680527],"genre_scores_gemma":[0.9844687,0.0002532081,0.014628811,0.0001785034,0.00019530315,0.000048270613,0.0000036131062,0.000059029073,0.00016457577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962469,0.000054454897,0.0014240425,0.00075817393,0.0010258951,0.0004905395],"domain_scores_gemma":[0.9958877,0.0016378183,0.0011941665,0.000508443,0.00055076956,0.00022111805],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012013904,0.0005709031,0.0019136275,0.00010867359,0.00015571906,0.000071138005,0.0011172179,0.000873577,0.00007069913],"category_scores_gemma":[0.003996064,0.0004006616,0.001136798,0.00073737337,0.0016304814,0.000114598435,0.0035765888,0.0014042616,0.0000022548963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000097021264,0.0018192283,0.0029476618,0.021706123,0.0012179703,0.00000322536,0.001868573,0.0000022769905,0.0038844561,0.9612637,0.0049014976,0.00028827268],"study_design_scores_gemma":[0.0010336055,0.00012849516,0.00086372194,0.0012804485,0.00068479736,0.000052558225,0.001198229,0.0009811074,0.003983188,0.98930424,0.000015399215,0.00047423455],"about_ca_topic_score_codex":0.000010742227,"about_ca_topic_score_gemma":1.4428122e-7,"teacher_disagreement_score":0.02804052,"about_ca_system_score_codex":0.0000789953,"about_ca_system_score_gemma":0.00010408686,"threshold_uncertainty_score":0.99984455},"labels":[],"label_agreement":null},{"id":"W2807651944","doi":"10.1090/tran/8472","title":"Random outer automorphisms of free groups: Attracting trees and their singularity structures","year":2021,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Queen's University","funders":"City University of New York; National Science Foundation","keywords":"Automorphism; Mathematics; Combinatorics; Ideal (ethics); Tree (set theory); Outer automorphism group; Automorphism group; Singularity; Graph; Group (periodic table); Pure mathematics; Discrete mathematics; Physics; Geometry; Law; Quantum mechanics","score_opus":0.031305359219669975,"score_gpt":0.2860078467842957,"score_spread":0.2547024875646257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2807651944","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58629143,0.00014520973,0.41198614,0.0008011013,0.00013372675,0.00034259647,0.00010924539,0.000054034266,0.00013649765],"genre_scores_gemma":[0.84534496,0.00009056921,0.15432452,0.00006390213,0.000041340925,0.00002158129,0.0000031975474,0.000037394235,0.00007253173],"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977831,0.00025469717,0.0008700464,0.00041069227,0.00037524197,0.00030617986],"domain_scores_gemma":[0.99485046,0.002579041,0.0011154788,0.0012146055,0.00015240199,0.00008803659],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006000422,0.00039459582,0.0015784838,0.00006540044,0.00018193045,0.000038562146,0.0007227318,0.00025834035,0.00022396493],"category_scores_gemma":[0.00066264626,0.00025575724,0.001265801,0.00042671824,0.001820184,0.000054719898,0.00029948703,0.00096371083,3.6036053e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011861882,0.018288251,0.005323729,0.057761997,0.04526999,0.000040418214,0.3306915,0.005621007,0.049981657,0.2850434,0.0068240934,0.19396779],"study_design_scores_gemma":[0.0010277876,0.00009026409,0.002013888,0.0003701752,0.0008554555,0.00006821337,0.010567843,0.0022760455,0.005813816,0.97653574,0.000014362956,0.00036641213],"about_ca_topic_score_codex":0.00021111718,"about_ca_topic_score_gemma":0.000025762312,"teacher_disagreement_score":0.6914923,"about_ca_system_score_codex":0.000050478222,"about_ca_system_score_gemma":0.00010862344,"threshold_uncertainty_score":0.99998945},"labels":[],"label_agreement":null},{"id":"W2809700462","doi":"10.1112/jlms.12426","title":"Quasi‐geodesics in Out(Fn) and their shadows in sub‐factors","year":2021,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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","keywords":"Class (philosophy); Folding (DSP implementation); Shadow (psychology); Contrast (vision); Construct (python library); Group (periodic table); Element (criminal law)","score_opus":0.03943530265915042,"score_gpt":0.28521231200712177,"score_spread":0.24577700934797136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2809700462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99118435,0.00054731907,0.005116525,0.0025457053,0.00017479135,0.00012645117,0.0000037089362,0.000007923354,0.0002932393],"genre_scores_gemma":[0.993527,0.00018995933,0.0056369985,0.00026576535,0.00006897281,0.000002132889,3.566976e-7,0.000021106413,0.00028768965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820274,0.00020212198,0.00082226715,0.00015085647,0.0003007795,0.00032125335],"domain_scores_gemma":[0.99725723,0.0019151401,0.00036739066,0.00026487786,0.000093791736,0.00010158752],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013300102,0.00019223239,0.0006628051,0.00006591337,0.000063846965,0.000037615286,0.0003020514,0.00019338849,0.00011316341],"category_scores_gemma":[0.0021451067,0.00010735119,0.00042006976,0.0005122956,0.00015719158,0.00010452468,0.00018910598,0.000717898,0.0000051232005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022780808,0.015645608,0.23843506,0.0046980847,0.0015521916,0.0004896141,0.16525842,0.00015560575,0.012610785,0.51466024,0.032737035,0.01352957],"study_design_scores_gemma":[0.0012904023,0.000088517496,0.006790295,0.0002925686,0.000047975354,0.00021840562,0.006889237,0.00064473925,0.003749515,0.9794605,0.00033389597,0.00019394253],"about_ca_topic_score_codex":0.0000038341127,"about_ca_topic_score_gemma":0.00003372689,"teacher_disagreement_score":0.4648003,"about_ca_system_score_codex":0.00011453832,"about_ca_system_score_gemma":0.000111424146,"threshold_uncertainty_score":0.43776545},"labels":[],"label_agreement":null},{"id":"W2883801513","doi":"10.1007/s00208-021-02326-z","title":"Schottky presentations of positive representations","year":2022,"lang":"en","type":"preprint","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Université de Sherbrooke","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Construct (python library); Mathematics; Pure mathematics; Dimension (graph theory); Discontinuity (linguistics); Fock space; Space (punctuation); Order (exchange); Domain (mathematical analysis); Projective test; Algebra over a field; Mathematical analysis; Computer science; Physics; Quantum mechanics","score_opus":0.0928988613955239,"score_gpt":0.3901776993643494,"score_spread":0.2972788379688255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883801513","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58075565,0.0022326016,0.056266814,0.0054783295,0.0014503876,0.0042187064,0.0022663658,0.00058985257,0.3467413],"genre_scores_gemma":[0.84932977,0.00027412976,0.09369395,0.00017554706,0.0003387509,0.0012797916,0.00071362505,0.00020318924,0.053991273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971295,0.00032095177,0.00095506845,0.00058688736,0.00065209914,0.00035549657],"domain_scores_gemma":[0.99592936,0.0014925535,0.0009794664,0.0012226847,0.0002666905,0.00010925854],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00064004463,0.00035147776,0.0008087307,0.0006301876,0.00020782632,0.000042662796,0.00081099017,0.00024971986,0.006629647],"category_scores_gemma":[0.0014140841,0.00035414254,0.0004097943,0.0006229512,0.00019451472,0.00010711079,0.0016524104,0.00091666036,0.00006249573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000365511,0.0012186525,0.0036289152,0.0018586471,0.0012519741,0.000047668986,0.010729124,0.00026303143,0.00015473139,0.7945546,0.18542808,0.00082806085],"study_design_scores_gemma":[0.00042559998,0.000081314334,0.00594593,0.00012890705,0.00039838295,0.000040282066,0.0025694484,0.00020183885,0.0011360815,0.986019,0.0026007819,0.00045243232],"about_ca_topic_score_codex":0.0001469983,"about_ca_topic_score_gemma":0.000011195213,"teacher_disagreement_score":0.29275003,"about_ca_system_score_codex":0.000032267013,"about_ca_system_score_gemma":0.00020808229,"threshold_uncertainty_score":0.99989104},"labels":[],"label_agreement":null},{"id":"W2883943665","doi":"10.4171/jems/1113","title":"Local maxima of the systole function","year":2021,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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","keywords":"Maxima; Mathematics; Genus; Combinatorics; Surface (topology); Function (biology); Sequence (biology); Maxima and minima; Mathematical analysis; Geometry; Biology","score_opus":0.034282525064325046,"score_gpt":0.26321364033743944,"score_spread":0.22893111527311438,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2883943665","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4646963,0.001233594,0.4970213,0.004687208,0.004560433,0.0007087614,0.000019738753,0.000051513893,0.027021164],"genre_scores_gemma":[0.9858992,0.000040718154,0.0114012845,0.00026221425,0.00047554303,0.0000015293156,5.60761e-7,0.00006413052,0.001854804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962866,0.0010546021,0.0013348619,0.00020016191,0.00086657866,0.0002572525],"domain_scores_gemma":[0.9957902,0.00070050906,0.0020915456,0.0009442155,0.00038041556,0.0000931469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030984688,0.00027907154,0.00082102494,0.000036285903,0.00014375249,0.000057485027,0.0013941257,0.00021868532,0.00027421556],"category_scores_gemma":[0.0017336187,0.00013696577,0.002236132,0.00035096443,0.00045533627,0.00004521505,0.0019659658,0.0017040097,0.00001575185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023246343,0.008441184,0.0017384205,0.0327284,0.013160056,0.0002174151,0.032383244,0.0034308066,0.003515153,0.46292582,0.4140032,0.027223838],"study_design_scores_gemma":[0.0010330564,0.00013539726,0.005197814,0.0034296676,0.0019673186,0.0007854511,0.005681613,0.0010249309,0.0010311657,0.97743773,0.0018393132,0.00043654098],"about_ca_topic_score_codex":0.0000017110859,"about_ca_topic_score_gemma":4.7937704e-7,"teacher_disagreement_score":0.5212029,"about_ca_system_score_codex":0.00013096209,"about_ca_system_score_gemma":0.00019452609,"threshold_uncertainty_score":0.74031687},"labels":[],"label_agreement":null},{"id":"W2885263239","doi":"10.1088/1751-8121/aaea14","title":"Closed strings as single-valued open strings: a genus-zero derivation","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Deutsche Forschungsgemeinschaft; Hausdorff Center for Mathematics; Government of Canada; Innovation, Science and Economic Development Canada","keywords":"Amplitude; Riemann surface; Riemann hypothesis; Genus; Relation (database)","score_opus":0.02962904535380705,"score_gpt":0.299100298452658,"score_spread":0.26947125309885095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2885263239","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9619556,0.000031803873,0.029769212,0.0005125767,0.000107408654,0.00033870383,0.0000036195377,0.000017757464,0.007263332],"genre_scores_gemma":[0.9832329,0.0000073137403,0.016189495,0.00016238178,0.00016041598,0.000003519096,0.0000013444961,0.00003099469,0.00021160884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811906,0.00010958581,0.00076124223,0.00021203102,0.00047436327,0.00032370372],"domain_scores_gemma":[0.9976458,0.0012393992,0.00046629616,0.00025682076,0.00017055584,0.00022114531],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00089957967,0.00022333386,0.0007365803,0.00010575717,0.00006560899,0.00015504997,0.00045628374,0.00014088197,0.000993051],"category_scores_gemma":[0.0011862378,0.0001586022,0.00014208844,0.00027044202,0.0003406917,0.00024704268,0.00030696057,0.00038769926,0.000103486054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010806196,0.0005848445,0.00006567869,0.00014804442,0.00010400612,0.000016584316,0.00039462862,8.2470626e-7,0.0009443051,0.99376345,0.00016093356,0.0037086403],"study_design_scores_gemma":[0.0014311302,0.00077447394,0.000049293983,0.00015946625,0.00012490521,0.000195431,0.00027128684,0.0004151858,0.002669226,0.9935471,0.0001748099,0.00018772295],"about_ca_topic_score_codex":0.0000012229127,"about_ca_topic_score_gemma":4.7492165e-8,"teacher_disagreement_score":0.02127734,"about_ca_system_score_codex":0.00003869886,"about_ca_system_score_gemma":0.00007158282,"threshold_uncertainty_score":0.9999202},"labels":[],"label_agreement":null},{"id":"W2888073038","doi":"10.4064/fm660-12-2019","title":"Independence of the Yoshikawa eighth move and a minimal generating set of band moves","year":2020,"lang":"en","type":"article","venue":"Fundamenta Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Diagram; Independence (probability theory); Graph; Surface (topology); Set (abstract data type); Quarter (Canadian coin); Discrete mathematics; Combinatorics; Topology (electrical circuits); Geometry; Computer science; Statistics; History","score_opus":0.07120554174172647,"score_gpt":0.29662373881498577,"score_spread":0.2254181970732593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888073038","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9946785,0.00024073197,0.0018674082,0.001052925,0.00005122585,0.0002988072,0.000054848162,0.000020183112,0.0017353821],"genre_scores_gemma":[0.9827318,0.000010576359,0.016712213,0.00020079625,0.000055440883,0.000010129536,0.0000011340543,0.000017997527,0.00025992194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985742,0.00007964505,0.0005629471,0.00022042982,0.00036170782,0.0002010474],"domain_scores_gemma":[0.99851316,0.00063143607,0.00041546798,0.00030244718,0.000053322416,0.000084137384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031450987,0.00016297243,0.00044728158,0.000055469292,0.0000665817,0.000019259889,0.00030292379,0.0000871821,0.0003752134],"category_scores_gemma":[0.0009538752,0.00010880648,0.0000910334,0.00032077343,0.0002451534,0.00007448296,0.0002271956,0.00015238301,0.000005776035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014533056,0.00072959333,0.020751579,0.0067901784,0.0007885646,0.00001905108,0.06302895,0.000013376524,0.14294861,0.75224775,0.006485854,0.006051164],"study_design_scores_gemma":[0.0034010515,0.0009532101,0.006319015,0.000668382,0.0005331606,0.00014340994,0.021131603,0.007215798,0.3333768,0.6247672,0.0006014564,0.0008889586],"about_ca_topic_score_codex":0.000010882495,"about_ca_topic_score_gemma":0.0000026684845,"teacher_disagreement_score":0.1904282,"about_ca_system_score_codex":0.000011615261,"about_ca_system_score_gemma":0.00004419642,"threshold_uncertainty_score":0.44369996},"labels":[],"label_agreement":null},{"id":"W2894664863","doi":"10.2140/agt.2023.23.1501","title":"The realization problem for noninteger Seifert fibered surgeries","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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; University of British Columbia","funders":"","keywords":"Fibered knot; Mathematics; Torus; Knot (papermaking); Combinatorics; Vertex (graph theory); Integer (computer science); Pure mathematics; Geometry; Computer science; Graph","score_opus":0.047734089777252096,"score_gpt":0.3255371769814617,"score_spread":0.2778030872042096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2894664863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7435471,0.0040768026,0.16223776,0.04626798,0.010194973,0.0066886363,0.00022177566,0.0041176453,0.022647355],"genre_scores_gemma":[0.9472758,0.00070014,0.0025585773,0.00061404315,0.0005789566,0.0007944244,0.00019733279,0.0001374978,0.04714319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966182,0.00023119138,0.00087184465,0.0006337567,0.00037353803,0.0012714524],"domain_scores_gemma":[0.9877418,0.010722318,0.00038538614,0.00074441754,0.0002464555,0.0001595976],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019862147,0.00036657802,0.00064046483,0.0017485776,0.0008401132,0.00008297517,0.0006466828,0.00038494973,0.00033318796],"category_scores_gemma":[0.007787015,0.00026737998,0.0002839006,0.007575027,0.00052965246,0.00012885059,0.00024238588,0.00027079246,0.0003190089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084000036,0.000089359884,0.0017033651,0.00009307047,0.00024018268,0.000016529286,0.00044086686,0.000014061692,0.00003487485,0.6970193,0.26118687,0.039077565],"study_design_scores_gemma":[0.00080776174,0.00031615546,0.0031401338,0.000010924531,0.00008360988,0.000070940034,0.00078774843,0.00011999135,0.0003271984,0.7994062,0.19456758,0.00036179993],"about_ca_topic_score_codex":0.00011802012,"about_ca_topic_score_gemma":0.00012997395,"teacher_disagreement_score":0.20372877,"about_ca_system_score_codex":0.000089566034,"about_ca_system_score_gemma":0.0001629734,"threshold_uncertainty_score":0.9999778},"labels":[],"label_agreement":null},{"id":"W2895006594","doi":"10.4171/ggd/526","title":"Big Torelli groups: generation and commensuration","year":2019,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Sigma; Mapping class group; Combinatorics; Mathematics; Group (periodic table); Type (biology); Surface (topology); Homology (biology); Geometry; Physics; Quantum mechanics","score_opus":0.0445706168264422,"score_gpt":0.27790401457158004,"score_spread":0.23333339774513784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2895006594","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87843853,0.0012044156,0.11651668,0.0005578088,0.0018273067,0.0005027426,0.00013328178,0.00009855029,0.00072068843],"genre_scores_gemma":[0.9916331,0.0010471216,0.004700299,0.00023408771,0.0006654634,0.0000285905,0.0007172141,0.00005140677,0.0009226747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99799937,0.00012704653,0.0005486707,0.00069359643,0.00026908304,0.0003622565],"domain_scores_gemma":[0.99830043,0.0005045769,0.00037955097,0.0005730219,0.00010635908,0.00013606816],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00060980854,0.00042798964,0.00066016434,0.0005910143,0.00018705931,0.00017059152,0.00019182808,0.00078379206,0.000040287676],"category_scores_gemma":[0.0003324266,0.00041294104,0.00009757767,0.00037907742,0.00015261688,0.0000987221,0.00069280155,0.00071846833,0.0000142563385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006721823,0.00039335067,0.0423942,0.0027645626,0.00045807942,0.000026928556,0.0011927537,0.0004592245,0.0000954098,0.85971814,0.0036028128,0.08882731],"study_design_scores_gemma":[0.0018376652,0.00046652884,0.01912209,0.00016637416,0.00051742623,0.00018556374,0.0011593373,0.28512377,0.000040907886,0.6886486,0.0010231567,0.0017086335],"about_ca_topic_score_codex":0.000061660845,"about_ca_topic_score_gemma":0.00013072017,"teacher_disagreement_score":0.28466454,"about_ca_system_score_codex":0.00011643707,"about_ca_system_score_gemma":0.00004677724,"threshold_uncertainty_score":0.9998323},"labels":[],"label_agreement":null},{"id":"W2896061041","doi":"10.1007/s12220-019-00171-w","title":"A Characterization of Rationally Convex Immersions","year":2019,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric and Algebraic Topology","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; Regular polygon; Dimension (graph theory); Immersion (mathematics); Characterization (materials science); Convex body; Differential geometry; Combinatorics; Pure mathematics; Degenerate energy levels; Convex function; Mathematical analysis; Geometry; Convex optimization; Physics","score_opus":0.017581600101896945,"score_gpt":0.27453310827653044,"score_spread":0.25695150817463347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896061041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8589592,0.000100582685,0.13984938,0.00034167687,0.0001435495,0.000062584644,0.000008954541,0.000004011634,0.00053006224],"genre_scores_gemma":[0.99585754,0.000089977344,0.0018489354,0.00006500152,0.00006562603,5.4984224e-7,0.000011583981,0.00000791509,0.0020528827],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9982602,0.000071973984,0.00087898545,0.00010902501,0.0005344978,0.00014529233],"domain_scores_gemma":[0.99702233,0.00055076793,0.0014638302,0.00020222126,0.00067862193,0.0000822535],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008280159,0.000101389975,0.00072809163,0.005799362,0.000030406958,0.000011876119,0.00023112087,0.00008762768,0.00238315],"category_scores_gemma":[0.0010167322,0.000080139595,0.00053245213,0.011120351,0.000036082904,0.00016143573,0.000036088102,0.00014918623,0.000024791825],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026584565,0.0018911854,0.84263074,0.00029229306,0.016138686,0.00004336909,0.0009751934,0.000958278,0.07404154,0.04473918,0.002828937,0.015194724],"study_design_scores_gemma":[0.0036431241,0.0013379183,0.9465625,0.00007071784,0.011987239,0.00013400363,0.0014531305,0.0023398045,0.0071145315,0.016714612,0.008006111,0.00063629035],"about_ca_topic_score_codex":0.000008485434,"about_ca_topic_score_gemma":0.0000011694616,"teacher_disagreement_score":0.13800044,"about_ca_system_score_codex":0.00004147078,"about_ca_system_score_gemma":0.00009417901,"threshold_uncertainty_score":0.9985288},"labels":[],"label_agreement":null},{"id":"W2896176675","doi":"10.1007/s10711-020-00514-w","title":"Harmonic maps between ideal 2-dimensional simplicial complexes","year":2020,"lang":"en","type":"preprint","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Ideal (ethics); Mathematics; Pure mathematics; Harmonic; Simplicial complex; Harmonic map; Physics; Epistemology; Quantum mechanics; Philosophy","score_opus":0.12403430692209096,"score_gpt":0.3452040981663312,"score_spread":0.22116979124424024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896176675","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8949533,0.005482112,0.03158834,0.036668718,0.006915733,0.0039843596,0.011793026,0.002001658,0.0066127544],"genre_scores_gemma":[0.9737493,0.000097721124,0.01454293,0.0010519958,0.0047587166,0.00009317748,0.0052249245,0.00016741267,0.0003138227],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99405944,0.00027525018,0.0015455879,0.0015651662,0.0014284683,0.0011260558],"domain_scores_gemma":[0.99312544,0.0033566644,0.0010042035,0.0015533228,0.00021197837,0.0007483718],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013186927,0.0008454325,0.0020400493,0.0018561628,0.00027591898,0.00012560793,0.0021749348,0.001157454,0.0023957053],"category_scores_gemma":[0.0062791044,0.000822503,0.00063105853,0.0023902806,0.00041557822,0.000075152995,0.0049947053,0.002477406,0.00096939574],"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":[0.00012258222,0.00039274493,0.0063083456,0.0010423047,0.0017364048,0.0001921184,0.00026672005,0.000013737445,0.0002034423,0.042083807,0.9316379,0.015999904],"study_design_scores_gemma":[0.0019220784,0.00023622075,0.014251067,0.00014551538,0.0008038193,0.000041036816,0.00006860277,0.00006619503,0.00060474727,0.93474716,0.045867115,0.0012464408],"about_ca_topic_score_codex":0.00029657278,"about_ca_topic_score_gemma":0.000015472368,"teacher_disagreement_score":0.89266336,"about_ca_system_score_codex":0.00018366845,"about_ca_system_score_gemma":0.000618222,"threshold_uncertainty_score":0.9998239},"labels":[],"label_agreement":null},{"id":"W2896336899","doi":"10.1112/topo.12131","title":"Structures in genus‐zero relative Gromov–Witten theory","year":2019,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","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":"University of Alberta","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Construct (python library); Quantum; Cohomology; Quantum cohomology; Algebra over a field","score_opus":0.02215371044222281,"score_gpt":0.30108499522323373,"score_spread":0.2789312847810109,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2896336899","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98635364,0.00046156743,0.002799578,0.0014300381,0.001032768,0.00010099197,0.0000015490165,0.000008448221,0.007811408],"genre_scores_gemma":[0.9920487,0.000027667238,0.005070821,0.0002792405,0.00015270551,7.8983317e-7,3.6683215e-7,0.000014544175,0.0024051855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856395,0.00030492176,0.0005700703,0.0001284784,0.00016091026,0.00027165114],"domain_scores_gemma":[0.9978984,0.0012446301,0.0005131784,0.0001899763,0.00008947892,0.00006433662],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008552688,0.00012808046,0.000509464,0.0005106364,0.00002575535,0.000006678105,0.00028683504,0.00021030116,0.001850601],"category_scores_gemma":[0.0010444634,0.00009393221,0.00013126891,0.00024695578,0.000140407,0.00012319216,0.00006870494,0.00053405704,0.000052684725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013145704,0.00007262297,0.01872795,0.000022030956,0.00011813877,0.00014061233,0.001139016,0.0000135796245,0.00021921295,0.9753188,0.002059176,0.0020374407],"study_design_scores_gemma":[0.00093924813,0.00038471085,0.01873571,0.000014316165,0.00003252128,0.00067971426,0.0007144927,0.000004370724,0.00018491545,0.9765998,0.0016145378,0.000095662625],"about_ca_topic_score_codex":0.000012063318,"about_ca_topic_score_gemma":0.000009448934,"teacher_disagreement_score":0.005695028,"about_ca_system_score_codex":0.00006349384,"about_ca_system_score_gemma":0.00007153311,"threshold_uncertainty_score":0.9990618},"labels":[],"label_agreement":null},{"id":"W2897666743","doi":"10.48550/arxiv.1810.07891","title":"Excursions of generic geodesics in right-angled Artin groups and graph products","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Alfred P. Sloan Foundation","keywords":"Mathematics; Excursion; Geodesic; Cusp (singularity); Artin group; Graph; Group (periodic table); Distribution (mathematics); Free product; Pure mathematics; Combinatorics; Geometry; Mathematical analysis; Weyl group","score_opus":0.10805167880903034,"score_gpt":0.2129366233782924,"score_spread":0.10488494456926205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2897666743","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98981595,0.00013711413,0.007902998,0.0000881911,0.00029581526,0.0003774927,0.00001912697,0.00005758187,0.0013057553],"genre_scores_gemma":[0.9963697,0.0002043863,0.0022467626,0.000018575734,0.000080098755,0.0000012826252,0.000012411849,0.000024172132,0.0010425609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983432,0.00015854723,0.00032918935,0.00074770703,0.0000786246,0.00034269044],"domain_scores_gemma":[0.998344,0.00025196752,0.00039182688,0.00073586556,0.00017001294,0.00010632432],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003668422,0.0002804195,0.00056727487,0.00075887167,0.000070140595,0.00001094356,0.00041728764,0.00035224672,0.00012224946],"category_scores_gemma":[0.00034827908,0.00028966638,0.000113498645,0.001245135,0.0004292058,0.00007054942,0.00071588985,0.0004072152,0.000014500309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019037169,0.0012991581,0.048967466,0.0016300679,0.00042268608,0.0005401287,0.0015318255,0.0018126937,0.00035563778,0.93818593,0.004502846,0.00056120043],"study_design_scores_gemma":[0.0008252081,0.00011620643,0.008754382,0.00013173732,0.00022100906,0.000009818306,0.00024153484,0.002281934,0.0006227205,0.98618764,0.00017625326,0.00043157983],"about_ca_topic_score_codex":0.00009938585,"about_ca_topic_score_gemma":0.00009754666,"teacher_disagreement_score":0.0480017,"about_ca_system_score_codex":0.00006501318,"about_ca_system_score_gemma":0.00011326354,"threshold_uncertainty_score":0.99995553},"labels":[],"label_agreement":null},{"id":"W2898459284","doi":"10.1016/j.geomphys.2018.10.008","title":"Multisymplectic structures induced by symplectic structures","year":2018,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Geometric and Algebraic Topology","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","keywords":"Symplectic geometry; Mathematics; Symplectic manifold; Pure mathematics; Symplectic representation; Symplectomorphism; Moment map","score_opus":0.03360646233759658,"score_gpt":0.31697998584804976,"score_spread":0.2833735235104532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898459284","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9897415,0.0003305148,0.008868168,0.00012681168,0.00055640703,0.000067837434,0.0000069578837,0.00001450695,0.00028730766],"genre_scores_gemma":[0.9952499,0.000028652526,0.003373493,0.0001671884,0.0010863577,5.489226e-7,9.4301197e-7,0.000020416895,0.00007246868],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987431,0.00008568927,0.00044425362,0.00015414468,0.00029403172,0.00027876958],"domain_scores_gemma":[0.9983269,0.000597617,0.00050439907,0.00017152552,0.00025656974,0.00014296494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028693388,0.00019028688,0.00043033235,0.0001839085,0.00018268943,0.00005143044,0.00020623104,0.00012871397,0.00018134103],"category_scores_gemma":[0.000736581,0.00014453789,0.00010247631,0.00077152747,0.0001316145,0.00017232618,0.000057690588,0.00038188646,0.0000037217972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052092585,0.00080779154,0.015732624,0.000601973,0.0020486754,0.00006385657,0.0054524927,0.0000122890315,0.08568852,0.62499017,0.046467494,0.21761322],"study_design_scores_gemma":[0.0008879978,0.0009457081,0.007225643,0.000019006517,0.00013212954,0.00027932628,0.00024227475,0.000025408544,0.018597305,0.970469,0.0009647527,0.00021147556],"about_ca_topic_score_codex":0.000012533028,"about_ca_topic_score_gemma":0.0000022392633,"teacher_disagreement_score":0.34547883,"about_ca_system_score_codex":0.000028903161,"about_ca_system_score_gemma":0.00005842812,"threshold_uncertainty_score":0.5894084},"labels":[],"label_agreement":null},{"id":"W2899201617","doi":"10.4171/ggd/493","title":"Some virtual limit groups","year":2018,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Limit (mathematics); Pure mathematics; Mathematical analysis","score_opus":0.019160724844436716,"score_gpt":0.2625502176976138,"score_spread":0.24338949285317707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899201617","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9718632,0.000306564,0.023366239,0.00047323524,0.0009300205,0.00015701879,0.000035882345,0.00018703306,0.0026807815],"genre_scores_gemma":[0.99247146,0.000110930574,0.0029936235,0.0005172182,0.0011209482,0.000009163612,0.000025853577,0.000038865837,0.0027119555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830353,0.000059267375,0.00037773323,0.000442906,0.0002595379,0.00055701984],"domain_scores_gemma":[0.9985435,0.00058291754,0.00014271936,0.0004354074,0.000086852844,0.00020861918],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00046529985,0.0002726459,0.00040333337,0.0005160825,0.00029053979,0.00006122494,0.00028001645,0.0002774474,0.0002601162],"category_scores_gemma":[0.0006295213,0.00024742103,0.000095936804,0.00094308966,0.00048608356,0.00025565858,0.0002758165,0.0002915447,0.00018057889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032698386,0.00013332584,0.0043748682,0.000042010524,0.000060995106,0.000015572143,0.00024164576,6.5240005e-7,0.000020739923,0.97958624,0.0011863849,0.014304878],"study_design_scores_gemma":[0.0011341486,0.0010881698,0.01106331,0.000026639127,0.000101167214,0.00018339508,0.0013684971,0.005598649,0.00006985008,0.97671175,0.0020467897,0.00060764165],"about_ca_topic_score_codex":0.000016472331,"about_ca_topic_score_gemma":0.000048217444,"teacher_disagreement_score":0.020608217,"about_ca_system_score_codex":0.00006258677,"about_ca_system_score_gemma":0.000025472358,"threshold_uncertainty_score":0.9999978},"labels":[],"label_agreement":null},{"id":"W2899301906","doi":"10.2140/agt.2021.21.2995","title":"Geodesics in the mapping class group","year":2021,"lang":"en","type":"preprint","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Geodesic; Mapping class group; Mathematics; Disjoint sets; Group (periodic table); Combinatorics; Projection (relational algebra); Ball (mathematics); Graph; Class (philosophy); Sequence (biology); Geometry; Surface (topology); Physics; Computer science; Algorithm; Artificial intelligence","score_opus":0.06348695553622832,"score_gpt":0.3063939763291493,"score_spread":0.24290702079292095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899301906","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93506616,0.009018112,0.028114373,0.008691222,0.004819925,0.0016110782,0.00003943328,0.00031095394,0.012328718],"genre_scores_gemma":[0.9869791,0.0007948388,0.0068361284,0.0029622759,0.0008038945,0.00036219016,0.00020322087,0.00011924264,0.00093910744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9921184,0.0015659137,0.0018121254,0.0017480865,0.0009567098,0.001798771],"domain_scores_gemma":[0.98880094,0.0073350295,0.0009282833,0.0025067914,0.00022648515,0.00020244467],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.003563731,0.0009958694,0.0020028579,0.0047280923,0.00027030113,0.00022299918,0.0027139003,0.0019557339,0.0015588267],"category_scores_gemma":[0.0066414345,0.00082029327,0.0006892342,0.008800516,0.0006845702,0.00013389839,0.0023885344,0.00382581,0.00011993053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005478056,0.0023631474,0.019380076,0.0015214932,0.0011580229,0.0024641217,0.009559991,0.00009914082,0.00004598554,0.86809206,0.029007629,0.06625353],"study_design_scores_gemma":[0.0020529206,0.0003378194,0.0443564,0.00020933196,0.00039205357,0.00093555945,0.013232718,0.00020309174,0.000049328777,0.9136517,0.022722244,0.0018568272],"about_ca_topic_score_codex":0.0011228083,"about_ca_topic_score_gemma":0.0006689348,"teacher_disagreement_score":0.064396694,"about_ca_system_score_codex":0.00035075564,"about_ca_system_score_gemma":0.00043607547,"threshold_uncertainty_score":0.9994248},"labels":[],"label_agreement":null},{"id":"W2899780846","doi":"10.1007/jhep01(2019)124","title":"Topological strings, strips and quivers","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Office of Science; Banff International Research Station for Mathematical Innovation and Discovery; Fundacja na rzecz Nauki Polskiej; European Commission; Fondation Université Grenoble Alpes; Aspen Center for Physics; High Energy Physics; U.S. Department of Energy; National Science Foundation","keywords":"STRIPS; Topology (electrical circuits); Pure mathematics; Mathematics; Combinatorics; Algorithm","score_opus":0.020853830893996502,"score_gpt":0.251443335430775,"score_spread":0.2305895045367785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899780846","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98503995,0.00014541294,0.012677665,0.00025285105,0.00038117956,0.000021019829,0.0000015465461,0.000010566301,0.0014698359],"genre_scores_gemma":[0.996023,0.00010164985,0.002367317,0.00012398812,0.00026675678,2.556573e-7,5.1047397e-7,0.000008839575,0.0011076728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992397,0.000051361854,0.00025929324,0.00009445063,0.00019549587,0.00015974132],"domain_scores_gemma":[0.99904317,0.00037473076,0.0003067034,0.00011143611,0.00008505751,0.00007887614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016272903,0.00010084175,0.00031968986,0.0000752873,0.000037769838,0.000014318636,0.00013827132,0.00007744429,0.00012515477],"category_scores_gemma":[0.000093730836,0.00007383435,0.00008388865,0.00016383766,0.000063041014,0.00010793508,0.000057388617,0.00021118844,0.000005607641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022326849,0.000075778684,0.000990664,0.000010388361,0.00005985643,0.000017531886,0.000050076444,0.000015383663,0.00009881919,0.9948365,0.0012562927,0.0025663641],"study_design_scores_gemma":[0.0008385785,0.0004249989,0.0019692369,0.000015680795,0.000044855697,0.00009034643,0.00025268056,0.000009476256,0.0016267765,0.99046713,0.0041488702,0.00011139269],"about_ca_topic_score_codex":0.000019504443,"about_ca_topic_score_gemma":9.4093696e-7,"teacher_disagreement_score":0.010983086,"about_ca_system_score_codex":0.000025069437,"about_ca_system_score_gemma":0.000034745917,"threshold_uncertainty_score":0.30108777},"labels":[],"label_agreement":null},{"id":"W2900586581","doi":"10.4153/s0008439519000808","title":"On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Embedding; Constructive; Class (philosophy); Contact geometry; Five-dimensional space; Constructive proof","score_opus":0.023565901672144684,"score_gpt":0.29424359434357666,"score_spread":0.270677692671432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900586581","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63786054,0.00011537409,0.00037805014,0.0075483066,0.00012290564,0.0018049063,0.00006311076,0.000022843054,0.35208398],"genre_scores_gemma":[0.99138725,0.000004059345,0.0010186253,0.0023394853,0.00002488146,0.000034871566,0.0000038380713,0.000031901098,0.0051550623],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981842,0.00017440597,0.0005347723,0.00027680246,0.0003148927,0.0005149521],"domain_scores_gemma":[0.9965841,0.002387429,0.00015451164,0.0006048495,0.00005047673,0.00021863244],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011563004,0.00021330883,0.0006353795,0.00019440286,0.000060503364,0.00007377077,0.00090159784,0.00016136283,0.07675572],"category_scores_gemma":[0.0012390658,0.00014951824,0.00010418686,0.00026134195,0.000051373452,0.000040524956,0.00007855324,0.0003163398,0.0040678564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037615853,0.00006988658,0.00017857789,0.00015579158,0.00002669794,0.000064879336,0.0005349879,0.0000016390019,0.000015253882,0.9319835,0.06674515,0.00018602656],"study_design_scores_gemma":[0.0025946172,0.0009528289,0.0010443109,0.00070721324,0.000058469956,0.000083372004,0.004069719,0.000113235415,0.00015713424,0.82122433,0.1684849,0.0005098924],"about_ca_topic_score_codex":0.0015174419,"about_ca_topic_score_gemma":0.0016076285,"teacher_disagreement_score":0.35352674,"about_ca_system_score_codex":0.00018318096,"about_ca_system_score_gemma":0.00025041687,"threshold_uncertainty_score":0.9967076},"labels":[],"label_agreement":null},{"id":"W2900871523","doi":"10.2140/agt.2020.20.3733","title":"Ribbon 2–knots, 1 + 1 = 2 and Duflo’s theoremfor arbitrary Lie algebras","year":2020,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Mathematics; Lie algebra; Pure mathematics; Isomorphism (crystallography); Algebra over a field","score_opus":0.04399796826630578,"score_gpt":0.2786040067484906,"score_spread":0.23460603848218484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900871523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9432336,0.006504662,0.010184304,0.022023275,0.0010499415,0.0009044879,0.00005543972,0.00078011915,0.015264168],"genre_scores_gemma":[0.98280776,0.00043317283,0.0070491247,0.0076180478,0.0007959665,0.00006183921,0.000033147455,0.0001182081,0.0010827619],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954738,0.0003418178,0.0010494738,0.0012617931,0.00051502197,0.0013580901],"domain_scores_gemma":[0.99463546,0.0032839817,0.00043307908,0.0007412796,0.0001343787,0.0007718453],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000764039,0.0006913316,0.0012861359,0.0015749522,0.0003283131,0.00007317113,0.0008231695,0.000656501,0.003937072],"category_scores_gemma":[0.0059806425,0.0006269046,0.0002866239,0.004813074,0.0009165206,0.00026253346,0.0006333184,0.0009072527,0.0005359803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011673303,0.00024349915,0.005804161,0.00018356029,0.00032490096,0.00017589256,0.00089670724,7.8208484e-7,0.00019852814,0.9356753,0.024154602,0.032225315],"study_design_scores_gemma":[0.002809365,0.0014203631,0.011921682,0.000021341588,0.0003203808,0.00053179194,0.0010798753,0.0001077655,0.001335635,0.93522227,0.044065077,0.0011644264],"about_ca_topic_score_codex":0.000090160764,"about_ca_topic_score_gemma":0.000013192903,"teacher_disagreement_score":0.039574128,"about_ca_system_score_codex":0.00006733109,"about_ca_system_score_gemma":0.00015724047,"threshold_uncertainty_score":0.99961823},"labels":[],"label_agreement":null},{"id":"W2900886685","doi":"10.1090/tran/8555","title":"Shortcut graphs and groups","year":2021,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Uniwersytet Wrocławski; European Research Council; Natural Sciences and Engineering Research Council of Canada; Institut des Sciences Mathématiques, Université du Québec à Montréal; McGill University","keywords":"Mathematics; Isoperimetric inequality; Cayley graph; Coxeter group; Combinatorics; Group (periodic table); Graph; Discrete mathematics","score_opus":0.022025556552728982,"score_gpt":0.28245887115880064,"score_spread":0.26043331460607166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900886685","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8202934,0.00008825137,0.17581482,0.0020594122,0.000057428624,0.00013297216,0.000013336197,0.00006438969,0.0014759618],"genre_scores_gemma":[0.9455728,0.000087807406,0.05325072,0.00022360314,0.000009556482,0.0000115114335,3.8500812e-7,0.000016038435,0.0008276059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990455,0.00007017555,0.00029057465,0.0001785789,0.00021376793,0.0002014034],"domain_scores_gemma":[0.99857897,0.0007429113,0.00014319907,0.00040096496,0.00006298783,0.00007097538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001965623,0.000121832774,0.00038423282,0.000022421926,0.0001485287,0.000011077411,0.0001717329,0.00004610361,0.0003681814],"category_scores_gemma":[0.00015500911,0.000083918785,0.00039970368,0.0007764241,0.00088815094,0.00003863896,0.000030456444,0.00020163169,0.0000048699585],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019018444,0.0013545782,0.001379126,0.00069759495,0.0009015787,0.000004440869,0.004695222,0.000012476432,0.0038213297,0.9663274,0.003302203,0.017485026],"study_design_scores_gemma":[0.00021706166,0.000054618988,0.0018717331,0.000029014054,0.00022279871,0.000093852264,0.0038413194,0.00029946465,0.0025737905,0.9905174,0.00013894335,0.000139996],"about_ca_topic_score_codex":0.000012692011,"about_ca_topic_score_gemma":0.0000041296057,"teacher_disagreement_score":0.12527934,"about_ca_system_score_codex":0.000016006277,"about_ca_system_score_gemma":0.000036120055,"threshold_uncertainty_score":0.40313283},"labels":[],"label_agreement":null},{"id":"W2901137514","doi":"10.1142/s1793525321500321","title":"Thickness of skeletons of arithmetic hyperbolic orbifolds","year":2021,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; National Science Foundation","keywords":"Geodesic; Hyperbolic space; Mathematics; Hyperbolic manifold; Pure mathematics; Arithmetic; Space (punctuation); Hyperbolic geometry; Euclidean geometry; Hyperbolic triangle; Relatively hyperbolic group; Euclidean space; Algebra over a field; Mathematical analysis; Hyperbolic function; Geometry; Computer science; Algebraic geometry","score_opus":0.031299760270348136,"score_gpt":0.32209912496114185,"score_spread":0.2907993646907937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2901137514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9780913,0.0050707585,0.014903633,0.0011260001,0.00033480034,0.000049645718,0.000019623047,0.000004470455,0.00039979094],"genre_scores_gemma":[0.9846916,0.0014191649,0.013420317,0.000045656096,0.000107853484,0.0000013052512,0.0000061397195,0.000011602781,0.00029631326],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758136,0.0003427258,0.001363307,0.00022746799,0.00027925943,0.00020589377],"domain_scores_gemma":[0.99570084,0.0009720433,0.0021862509,0.00042556526,0.0006155624,0.00009974299],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010196351,0.00022095829,0.002271337,0.0017163755,0.00004443973,0.000011268992,0.00038411428,0.00058489543,0.000551329],"category_scores_gemma":[0.0012250349,0.0001771889,0.0010157229,0.0010959235,0.0004759103,0.00003824503,0.00036753286,0.00077784085,3.6889293e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043392414,0.0056624003,0.56506366,0.0077412287,0.13370836,0.0012025426,0.012476981,0.002943489,0.005116718,0.23708373,0.0019647102,0.02660226],"study_design_scores_gemma":[0.0028247875,0.0011572803,0.1442883,0.0007819188,0.07679815,0.001842076,0.0104339635,0.0010752407,0.0064023654,0.7527214,0.0005076985,0.0011667976],"about_ca_topic_score_codex":0.00013971831,"about_ca_topic_score_gemma":0.000056861514,"teacher_disagreement_score":0.5156377,"about_ca_system_score_codex":0.000020201824,"about_ca_system_score_gemma":0.00024516447,"threshold_uncertainty_score":0.72255534},"labels":[],"label_agreement":null},{"id":"W2901748265","doi":"10.1017/prm.2019.52","title":"Residually finite tubular groups","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Vertex (graph theory); Separable space; Mathematics; Combinatorics; Graph; Enhanced Data Rates for GSM Evolution; Group (periodic table); Discrete mathematics; Computer science; Physics; Mathematical analysis; Artificial intelligence","score_opus":0.017084016064857238,"score_gpt":0.24414423155074252,"score_spread":0.2270602154858853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2901748265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98063064,0.000059030146,0.001657016,0.0005888274,0.0006270399,0.00058219203,0.000006580364,0.00008979442,0.0157589],"genre_scores_gemma":[0.9557802,0.000022387063,0.029100798,0.00008451393,0.00024997117,0.000016443666,7.713294e-7,0.000038693768,0.014706219],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980141,0.0000067740925,0.0007502482,0.00026106703,0.000655661,0.00031217246],"domain_scores_gemma":[0.99767524,0.0005714094,0.0009725104,0.00025356602,0.00046461867,0.00006266649],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010145872,0.00023729177,0.0005763203,0.00008860589,0.000109549175,0.000022309832,0.0005358602,0.00026490894,0.0008136854],"category_scores_gemma":[0.00091766106,0.00017328141,0.00055816333,0.00070978556,0.00019848594,0.00010884277,0.00027312324,0.00034584448,0.0000051585785],"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":[0.00010339202,0.0030958303,0.0342517,0.010942826,0.0018779798,5.424206e-7,0.03758282,0.00037555138,0.0434155,0.25221387,0.6155976,0.00054238975],"study_design_scores_gemma":[0.0026192255,0.0007756158,0.0017809772,0.0011312177,0.0005957901,0.000043213593,0.020137696,0.024196321,0.07153536,0.87184566,0.0044459994,0.0008928981],"about_ca_topic_score_codex":0.000011803134,"about_ca_topic_score_gemma":3.3532774e-7,"teacher_disagreement_score":0.6196318,"about_ca_system_score_codex":0.000056368495,"about_ca_system_score_gemma":0.00003992352,"threshold_uncertainty_score":0.89092845},"labels":[],"label_agreement":null},{"id":"W2902096014","doi":"10.4171/ggd/592","title":"Subgroups of word hyperbolic groups in rational dimension 2","year":2020,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Dimension (graph theory); Torsion (gastropod); Finitely-generated abelian group; Cohomological dimension; Mathematics; Word (group theory); Hyperbolic group; Group (periodic table); Combinatorics; Pure mathematics; Class (philosophy); Physics; Hyperbolic function; Hyperbolic manifold; Mathematical analysis; Geometry; Computer science; Quantum mechanics","score_opus":0.027103784033906574,"score_gpt":0.27114766950225094,"score_spread":0.24404388546834438,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902096014","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9819229,0.0008738666,0.014333363,0.00083758327,0.00065749453,0.0004792005,0.00016297025,0.00008496075,0.00064761215],"genre_scores_gemma":[0.9912798,0.00034316507,0.0074024876,0.00015198579,0.0002109417,0.000032459975,0.00037607912,0.00005607172,0.00014700046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971179,0.00015762808,0.0010132644,0.0007900472,0.00045853507,0.00046261912],"domain_scores_gemma":[0.99768764,0.0009263626,0.0005399411,0.0005511715,0.00010747288,0.0001874098],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00062634994,0.00049044885,0.0011821543,0.0010571952,0.00007760112,0.000039875493,0.0004078703,0.0007506592,0.0001133032],"category_scores_gemma":[0.0009029903,0.00048973784,0.00020990185,0.0013056136,0.00024966642,0.00009996253,0.0012135756,0.0011663674,0.000011045145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022258933,0.0006938093,0.06654475,0.0023526223,0.00024669303,0.00010265698,0.0012645965,0.00033277084,0.00014341623,0.9161738,0.0004480641,0.01147421],"study_design_scores_gemma":[0.0012580026,0.0001740447,0.07210127,0.00022477146,0.00014457956,0.000055907956,0.00072419085,0.02276972,0.00003874891,0.90172094,0.00008077817,0.0007070634],"about_ca_topic_score_codex":0.00009805133,"about_ca_topic_score_gemma":0.00016897534,"teacher_disagreement_score":0.022436948,"about_ca_system_score_codex":0.00013486392,"about_ca_system_score_gemma":0.000106142645,"threshold_uncertainty_score":0.99975544},"labels":[],"label_agreement":null},{"id":"W2902218048","doi":"10.48550/arxiv.1811.10849","title":"Entropy and drift for word metric on relatively hyperbolic groups","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Word (group theory); Mathematics; Metric (unit); Entropy (arrow of time); Physics; Economics; Geometry; Operations management; Thermodynamics","score_opus":0.11774316284120137,"score_gpt":0.23137751407989657,"score_spread":0.1136343512386952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902218048","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92675316,0.00011494499,0.06800768,0.00012461573,0.00054689776,0.0007131313,0.00005169722,0.00014946207,0.0035383848],"genre_scores_gemma":[0.99053633,0.00019576689,0.0027429685,0.0000833356,0.00023720031,0.0000035065618,0.000014221362,0.000045509787,0.006141162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981873,0.000121766745,0.0002475528,0.00092872995,0.0000855287,0.00042914713],"domain_scores_gemma":[0.99734443,0.0013593031,0.00035108838,0.00061809085,0.00015273198,0.0001743575],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032811836,0.0003770042,0.000596739,0.00097233895,0.00018458915,0.000032394357,0.00046120363,0.00050935324,0.00013697261],"category_scores_gemma":[0.0008648249,0.00038625748,0.0002326683,0.0008736207,0.0002735469,0.000075473836,0.0005832371,0.00051465386,0.00007743559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017205732,0.00019502794,0.002704903,0.00019245771,0.0002933613,0.000047815724,0.00020759612,0.00020390419,0.000004982091,0.9922035,0.0031003053,0.0006740984],"study_design_scores_gemma":[0.0013959417,0.00033839393,0.0040208297,0.00008094226,0.00039296725,0.0000062668255,0.00020410502,0.004722676,0.000056192024,0.98515105,0.003120866,0.00050974014],"about_ca_topic_score_codex":0.000024637764,"about_ca_topic_score_gemma":0.000010862867,"teacher_disagreement_score":0.06526471,"about_ca_system_score_codex":0.00013640078,"about_ca_system_score_gemma":0.000072614945,"threshold_uncertainty_score":0.9998589},"labels":[],"label_agreement":null},{"id":"W2904434970","doi":"10.4171/ggd/712","title":"On the topology of the space of bi-orderings of a free group on two generators","year":2023,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Free group; Group (periodic table); Topology (electrical circuits); Space (punctuation); Topological group; Pure mathematics; Discrete mathematics; Combinatorics; Computer science","score_opus":0.0175070243810854,"score_gpt":0.2556631629849494,"score_spread":0.238156138603864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904434970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952551,0.000052929146,0.0013162574,0.0014749196,0.00037286896,0.00019082065,0.00007063485,0.000025973193,0.0012405113],"genre_scores_gemma":[0.9990487,0.000042558386,0.0004254002,0.00011154878,0.00004425207,0.000007187819,0.000004492558,0.000017926111,0.0002979115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881494,0.00011073291,0.00037116272,0.00020234194,0.0002531394,0.00024770226],"domain_scores_gemma":[0.99700254,0.0019214728,0.00031925118,0.000665537,0.00005375578,0.00003743908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000604408,0.00016043217,0.00038506687,0.00039904297,0.00009262951,0.000004745018,0.00043243964,0.00012966436,0.000060960836],"category_scores_gemma":[0.0013283608,0.00009492816,0.00012631633,0.00185846,0.00045447264,0.00002232961,0.0003088194,0.00022088915,0.0000033293684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003339992,0.00011078949,0.004806536,0.00011549333,0.00006405834,0.0000016477521,0.0002748861,0.00009169496,0.0003124549,0.99254686,0.00079520367,0.00084695395],"study_design_scores_gemma":[0.0011656169,0.0008300131,0.01805383,0.000082762395,0.00009083937,0.000015964952,0.0023269781,0.0041889916,0.002899399,0.9699718,0.00014840745,0.00022541064],"about_ca_topic_score_codex":0.00009766576,"about_ca_topic_score_gemma":0.00008910286,"teacher_disagreement_score":0.022575095,"about_ca_system_score_codex":0.000019327346,"about_ca_system_score_gemma":0.000018667472,"threshold_uncertainty_score":0.3871058},"labels":[],"label_agreement":null},{"id":"W2906965873","doi":"10.1090/s0002-9947-09-05039-9","title":"Free actions of finite groups on S^n\\\\times S^n Sn×Sn","year":2010,"lang":"en","type":"article","venue":"Max Planck Institute for Plasma Physics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Combinatorics; Pure mathematics","score_opus":0.05511590364228945,"score_gpt":0.2956987534358031,"score_spread":0.24058284979351363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2906965873","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93606347,0.000005220829,0.015214632,0.00049833365,0.0044694645,0.00065376976,0.0020758642,0.00019925716,0.040819988],"genre_scores_gemma":[0.97761244,0.000004436057,0.01950726,0.00009910196,0.00079698017,0.0000684237,0.00020310956,0.00004000243,0.0016682373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987367,0.000014423099,0.00035627242,0.00029380154,0.00023499399,0.00036383924],"domain_scores_gemma":[0.99777615,0.0011012019,0.00025243935,0.000679207,0.000097527234,0.00009348945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014580744,0.00025088646,0.0004305032,0.00015735597,0.00019019931,0.00002138196,0.0004337183,0.00021049466,0.000106209794],"category_scores_gemma":[0.00089190603,0.0002302478,0.00018901413,0.00036355626,0.00022392586,0.00018704178,0.00009076522,0.00041524757,0.0000695693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007453145,0.00039153386,0.00024636128,0.0001284919,0.00009511086,0.0000042831134,0.00015841326,0.00016538739,0.0009011119,0.96997005,0.024861936,0.0030027772],"study_design_scores_gemma":[0.0021339355,0.0003984848,0.00034900577,0.00004504189,0.00013032998,0.000020113283,0.00008507055,0.0011722215,0.015795296,0.8666805,0.11276161,0.00042835975],"about_ca_topic_score_codex":0.000031849915,"about_ca_topic_score_gemma":0.00020281636,"teacher_disagreement_score":0.10328953,"about_ca_system_score_codex":0.00002026684,"about_ca_system_score_gemma":0.00008150405,"threshold_uncertainty_score":0.9389233},"labels":[],"label_agreement":null},{"id":"W2912308353","doi":"10.1103/physreve.100.012501","title":"Osmotic pressure of compressed lattice knots","year":2019,"lang":"en","type":"article","venue":"Physical review. E","topic":"Geometric and Algebraic Topology","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unknot; Knot (papermaking); Osmotic pressure; Lattice (music); Mathematics; Physics; Materials science; Chemistry; Composite material","score_opus":0.033007014395197126,"score_gpt":0.3640577418043402,"score_spread":0.3310507274091431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2912308353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9490725,0.018061955,0.0005423859,0.0010599867,0.00024926054,0.0010665706,0.000015607306,0.00008644156,0.029845325],"genre_scores_gemma":[0.997295,0.00051776675,0.0005683237,0.00025053637,0.00007261131,0.000009081631,0.00000241513,0.000014534636,0.0012697248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907845,0.00009005243,0.00025430982,0.00017996608,0.000216588,0.00018065277],"domain_scores_gemma":[0.9983987,0.0008767433,0.0001690841,0.0004278959,0.00007182954,0.000055734217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015627274,0.0001183669,0.00060314365,0.000032838954,0.0000138304595,0.0000033914166,0.0002306993,0.00003015551,0.00052827026],"category_scores_gemma":[0.00063716824,0.00008929088,0.00015506259,0.00029728774,0.00004856428,0.000045022924,0.00008086798,0.00013746398,0.000493179],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000158553,0.001102164,0.0021945871,0.017689234,0.00022639969,0.0000032028775,0.00021322719,0.000008455419,0.003003969,0.94937235,0.018752182,0.007418351],"study_design_scores_gemma":[0.0011812171,0.0003799903,0.0091563305,0.0027574792,0.0010704253,0.000009448392,0.000030880223,0.0016013139,0.0041308785,0.8809215,0.09823151,0.00052902446],"about_ca_topic_score_codex":0.00000574853,"about_ca_topic_score_gemma":2.2978007e-7,"teacher_disagreement_score":0.07947933,"about_ca_system_score_codex":0.000004619658,"about_ca_system_score_gemma":0.000016510061,"threshold_uncertainty_score":0.63389826},"labels":[],"label_agreement":null},{"id":"W2914310075","doi":"10.48550/arxiv.1902.00930","title":"Fukaya categories of Lagrangian cobordisms and duality","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Pairing; Duality (order theory); Lagrangian; Pure mathematics; Mathematics; Combinatorics; Physics; Quantum mechanics","score_opus":0.10283631994617361,"score_gpt":0.22214773066008217,"score_spread":0.11931141071390856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2914310075","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96968955,0.00014740521,0.022518031,0.000085418185,0.0003683652,0.0002832448,0.00006810451,0.0000694427,0.0067704376],"genre_scores_gemma":[0.99496585,0.000119963835,0.00041332474,0.000020604706,0.000036873967,3.3737143e-7,0.000017034617,0.000018972458,0.004407009],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987881,0.00011782632,0.00024054054,0.00053702545,0.00006925763,0.00024724024],"domain_scores_gemma":[0.99833137,0.0004175088,0.00034703352,0.00067916705,0.00012890497,0.000096001015],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028967657,0.0002461955,0.0005883741,0.00027684038,0.000056190504,0.000014154005,0.00035990687,0.00038035878,0.00014288505],"category_scores_gemma":[0.00017323691,0.0002575614,0.00015610756,0.00036938107,0.00032298337,0.00006405476,0.0007781673,0.0003715589,0.000025271693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049392245,0.0001256858,0.025561063,0.0009150189,0.00019257929,0.000052339536,0.00059182115,0.0006358603,0.000015099563,0.9710091,0.0006568727,0.00019519175],"study_design_scores_gemma":[0.00082559837,0.00009015272,0.011024749,0.000061052255,0.000383436,0.000007179953,0.001411219,0.0014281673,0.00019151525,0.9835374,0.0005708523,0.00046867842],"about_ca_topic_score_codex":0.00038484696,"about_ca_topic_score_gemma":0.00007046672,"teacher_disagreement_score":0.025276328,"about_ca_system_score_codex":0.000046919027,"about_ca_system_score_gemma":0.000105139756,"threshold_uncertainty_score":0.99998766},"labels":[],"label_agreement":null},{"id":"W2919031019","doi":"10.1088/1751-8121/ab56f0","title":"The free energy of compressed lattice knots","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","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":"Lattice (music); Polygon (computer graphics); Knot (papermaking); Lattice constant; Unknot; Cube (algebra); Polyhedron","score_opus":0.012382483489456423,"score_gpt":0.25482138492782735,"score_spread":0.24243890143837094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919031019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93537265,0.00033746994,0.050181195,0.001982081,0.00022350972,0.0001342346,0.00000598086,0.000012682463,0.0117501775],"genre_scores_gemma":[0.99480534,0.000039322153,0.004768137,0.000053584,0.00013279148,0.0000011637424,1.3931859e-7,0.000014652614,0.00018485425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985757,0.00011701879,0.0006104496,0.000095313124,0.0003895099,0.00021200304],"domain_scores_gemma":[0.99396604,0.005049249,0.00036752963,0.00032376515,0.00018229579,0.00011110538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00069789786,0.00013164004,0.00051457266,0.000042985594,0.000053645243,0.000026171194,0.00038457263,0.00007805482,0.00023722289],"category_scores_gemma":[0.0010593827,0.00006982377,0.00017114865,0.00016302078,0.0007786606,0.00005831663,0.00016362155,0.00022952903,0.000009512863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005830355,0.00023749194,0.00003061787,0.00010724272,0.000095666546,0.0000041372145,0.00014630759,5.072759e-7,0.00023118891,0.9968772,0.00030899124,0.0019023637],"study_design_scores_gemma":[0.00067961344,0.00026490338,0.000037154256,0.00008178041,0.00009238533,0.00008297292,0.00017066635,0.00084366935,0.0017911296,0.995629,0.0002466745,0.000080020225],"about_ca_topic_score_codex":4.797723e-7,"about_ca_topic_score_gemma":9.500892e-8,"teacher_disagreement_score":0.059432685,"about_ca_system_score_codex":0.0000076069855,"about_ca_system_score_gemma":0.00003258873,"threshold_uncertainty_score":0.28690073},"labels":[],"label_agreement":null},{"id":"W2919400643","doi":"10.1016/j.crma.2019.02.002","title":"Geography of simply connected spin symplectic 4-manifolds, II","year":2019,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","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; Simons Foundation","keywords":"Symplectic geometry; Signature (topology); Mathematics; Construct (python library); Dimension (graph theory); Pure mathematics; Spin (aerodynamics); Combinatorics; Physics; Geometry; Computer science","score_opus":0.019734734933261434,"score_gpt":0.2813149615832666,"score_spread":0.26158022665000513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919400643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9861655,0.00037630036,0.00139226,0.00031392157,0.0003214257,0.0005095233,0.000022271106,0.00022015125,0.010678611],"genre_scores_gemma":[0.9942431,0.00005899654,0.0047983876,0.00014590567,0.000048251895,0.000023331451,0.000018015184,0.00004334594,0.0006207037],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811786,0.0001348834,0.00067910354,0.0003568471,0.00027510535,0.00043622384],"domain_scores_gemma":[0.99762315,0.0009738014,0.00043255676,0.00069805246,0.00016598456,0.00010647316],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00033533297,0.00028341534,0.0007290275,0.0005163985,0.00009922822,0.000019667206,0.0004346928,0.00022516686,0.0042003454],"category_scores_gemma":[0.0004832662,0.00025602998,0.00020872921,0.0008466012,0.00010811991,0.000090109505,0.00022511734,0.00028477883,0.00030218725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044378718,0.000761046,0.047410473,0.0010314598,0.0003940982,0.000018697101,0.0009447713,0.000021419417,0.005019515,0.91148084,0.031469803,0.0014034742],"study_design_scores_gemma":[0.0029798083,0.0016698898,0.07174496,0.00042354758,0.00022347894,0.00021408059,0.00074298703,0.001318226,0.013887938,0.89697015,0.008607937,0.0012169752],"about_ca_topic_score_codex":0.00006543986,"about_ca_topic_score_gemma":0.000011252265,"teacher_disagreement_score":0.024334492,"about_ca_system_score_codex":0.00003082829,"about_ca_system_score_gemma":0.00006318735,"threshold_uncertainty_score":0.9999892},"labels":[],"label_agreement":null},{"id":"W2920822632","doi":"10.5802/aif.3394","title":"Promoting circular-orderability to left-orderability","year":2021,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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; University of Manitoba","keywords":"Torsion (gastropod); Mathematics; Combinatorics; Topology (electrical circuits); Surgery; Medicine","score_opus":0.05382555308496757,"score_gpt":0.3251828168421001,"score_spread":0.27135726375713254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2920822632","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9573811,0.0010052355,0.027285693,0.006122235,0.001226908,0.0014121145,0.000057000736,0.00033924213,0.0051704287],"genre_scores_gemma":[0.9490032,0.00005958528,0.048084293,0.0011964269,0.00052550354,0.00015877219,0.000084796935,0.00008256444,0.00080482016],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950549,0.00049358874,0.0010950466,0.0015860251,0.00066036923,0.0011100429],"domain_scores_gemma":[0.99562085,0.0006387948,0.00037673113,0.0022152213,0.0006222927,0.0005261315],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0021694307,0.0007228069,0.0012762479,0.00034617374,0.00037293189,0.00026575083,0.00089194975,0.00090127374,0.0013668375],"category_scores_gemma":[0.01005102,0.00074519514,0.00063377066,0.00055882777,0.00035977073,0.0001510165,0.0017985523,0.0016736854,0.00009548562],"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":[0.0004938811,0.014607316,0.3742262,0.040279403,0.007429174,0.0043483027,0.1505568,0.0048647253,0.0014117316,0.12689172,0.05152538,0.22336535],"study_design_scores_gemma":[0.0016034297,0.00032267085,0.033219513,0.0013737188,0.0008960646,0.00059873826,0.0018756943,0.0027199453,0.0023512433,0.82030433,0.13095205,0.0037826195],"about_ca_topic_score_codex":0.00024261298,"about_ca_topic_score_gemma":0.0004291597,"teacher_disagreement_score":0.6934126,"about_ca_system_score_codex":0.0003712858,"about_ca_system_score_gemma":0.0013661426,"threshold_uncertainty_score":0.99954605},"labels":[],"label_agreement":null},{"id":"W2921346449","doi":"10.1007/s00039-023-00633-y","title":"Arboreal structures on groups and the associated boundaries","year":2023,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Boundary (topology); Random walk; Countable set; Group (periodic table); Poisson distribution; Pointwise; Triviality; Combinatorics; Mathematical analysis; Statistics","score_opus":0.027518171357021125,"score_gpt":0.2557330515623045,"score_spread":0.2282148802052834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2921346449","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99024624,0.0010319727,0.0032017627,0.0029375097,0.00030907145,0.00011290762,0.000057987323,0.00016947856,0.0019330563],"genre_scores_gemma":[0.9957028,0.0001524896,0.000046892248,0.00020727118,0.00011849919,0.000013208505,0.00006339198,0.000009107654,0.0036863124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988442,0.00007376632,0.00022124509,0.00027693933,0.00035699253,0.00022684451],"domain_scores_gemma":[0.9973534,0.0022895026,0.000088921566,0.0001411742,0.00006397324,0.00006307354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007628256,0.00014285215,0.00036377186,0.0023420537,0.00048403585,0.00016382388,0.000063427666,0.00009495396,0.00025286712],"category_scores_gemma":[0.0017785056,0.000082094535,0.00016986748,0.011168539,0.00048699786,0.00003757272,0.0000848193,0.00018217975,0.00003475186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010218697,0.00003474511,0.01623496,0.000021260232,0.0037388129,0.000008640531,0.00023071357,0.00008066822,7.6452545e-7,0.9544737,0.019762974,0.0053105797],"study_design_scores_gemma":[0.0006343124,0.00005063508,0.39001316,0.0000020067007,0.0014826892,0.000005396351,0.00032282024,0.0015500075,0.0000013479457,0.6036492,0.0021746182,0.00011380796],"about_ca_topic_score_codex":0.00013683231,"about_ca_topic_score_gemma":0.000047870115,"teacher_disagreement_score":0.3737782,"about_ca_system_score_codex":0.000021342505,"about_ca_system_score_gemma":0.000021797643,"threshold_uncertainty_score":0.53661126},"labels":[],"label_agreement":null},{"id":"W2921618863","doi":"10.4171/jems/1164","title":"Measurable Hall’s theorem for actions of abelian groups","year":2021,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Equidistributed sequence; Abelian group; Mathematics; Conjecture; Pure mathematics; Measure (data warehouse); Algebra over a field; Discrete mathematics; Computer science","score_opus":0.09096124611735656,"score_gpt":0.31655353271040354,"score_spread":0.22559228659304698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2921618863","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36536905,0.0014613689,0.56154,0.008832881,0.004015542,0.0017310117,0.000111852605,0.00010277044,0.05683556],"genre_scores_gemma":[0.8278963,0.00017436594,0.16819231,0.00020176652,0.00089879025,0.000008491514,0.0000028575982,0.00013117086,0.0024939561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99674267,0.00063789374,0.0014282543,0.00022935009,0.0006375792,0.0003242565],"domain_scores_gemma":[0.99458146,0.0017857602,0.0020469048,0.00077066163,0.0006792098,0.00013599228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004727195,0.00030471743,0.0010255115,0.00006742878,0.00017507377,0.00007631871,0.0011925949,0.00022423622,0.00022509646],"category_scores_gemma":[0.0043212594,0.00018465366,0.002472368,0.00028802425,0.0002869891,0.00006763076,0.000808705,0.0011913446,0.000007278891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010226722,0.004460248,0.00020106813,0.013794291,0.0071205995,0.00004547079,0.020508945,0.00048434938,0.004020288,0.7858831,0.15760028,0.005779058],"study_design_scores_gemma":[0.00069357204,0.00008773039,0.00026387308,0.0011254429,0.0008465613,0.00019306641,0.0027882627,0.000264179,0.00091621996,0.99163187,0.0009444574,0.00024475885],"about_ca_topic_score_codex":0.0000014866355,"about_ca_topic_score_gemma":8.9608017e-7,"teacher_disagreement_score":0.46252725,"about_ca_system_score_codex":0.00011263246,"about_ca_system_score_gemma":0.000209993,"threshold_uncertainty_score":0.7529958},"labels":[],"label_agreement":null},{"id":"W2923231975","doi":"10.4153/s0008439519000791","title":"Concordance, Crossing Changes, and Knots in Homology Spheres","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Unknot; Knot (papermaking); Homology (biology); Tricolorability; Knot invariant; Combinatorics; Pure mathematics; Knot theory; Biology; Genetics","score_opus":0.019337156374468496,"score_gpt":0.25912923353784567,"score_spread":0.23979207716337717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923231975","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9624884,0.0003009556,0.00020434092,0.0051916796,0.000119554636,0.000350813,0.000008709285,0.000034473476,0.03130107],"genre_scores_gemma":[0.98424155,0.0000074800873,0.004588842,0.0013837059,0.000054789005,0.000022430993,0.0000023251605,0.000030968687,0.009667931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861234,0.00008884324,0.0002942547,0.0003066213,0.00010642711,0.0005915158],"domain_scores_gemma":[0.99832976,0.0009578229,0.000069148984,0.00028041922,0.00002892048,0.00033393444],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003812264,0.00017503652,0.00045771358,0.00026854014,0.00009157374,0.00005892865,0.00016872243,0.0001898041,0.024667626],"category_scores_gemma":[0.0010665702,0.00016234841,0.00003312993,0.0002556504,0.0002808708,0.00001773242,0.000053923475,0.00028562365,0.0035874976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017453762,0.00009750879,0.008914493,0.0006321265,0.000035363806,0.00029002526,0.0012307379,0.0000011988723,0.00009574124,0.9416396,0.036095116,0.0109506175],"study_design_scores_gemma":[0.0013825734,0.0001736147,0.0037640145,0.00024559224,0.000024059049,0.00032428507,0.0015238203,0.00018111776,0.000080134465,0.7961147,0.19564207,0.0005440292],"about_ca_topic_score_codex":0.0024274942,"about_ca_topic_score_gemma":0.013271249,"teacher_disagreement_score":0.15954696,"about_ca_system_score_codex":0.000095368276,"about_ca_system_score_gemma":0.00015526457,"threshold_uncertainty_score":0.9971883},"labels":[],"label_agreement":null},{"id":"W2923642836","doi":"10.1142/s0218216521500309","title":"Virtual concordance and the generalized Alexander polynomial","year":2021,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Alexander polynomial; Mathematics; Crossing number (knot theory); Knot (papermaking); Combinatorics; HOMFLY polynomial; Noetherian; Concordance; Knot theory; Ribbon; Torus; Polynomial; Pure mathematics; Discrete mathematics; Algebra over a field; Geometry; Mathematical analysis; Matrix polynomial; Square-free polynomial","score_opus":0.028027427212219867,"score_gpt":0.2973023476069213,"score_spread":0.26927492039470147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923642836","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9703118,0.007797394,0.013946378,0.0059035667,0.0003014358,0.00009806798,0.000007096292,0.000008465907,0.0016257537],"genre_scores_gemma":[0.9920808,0.0009614368,0.0007185878,0.00040483713,0.00020860572,0.000002650638,7.6057887e-7,0.0000069260172,0.0056153997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989223,0.00045136694,0.00034229053,0.000087467044,0.000096693504,0.00009990449],"domain_scores_gemma":[0.9972124,0.0021681287,0.00025020473,0.00012705487,0.0001755929,0.00006658972],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012090586,0.000076136,0.00024000704,0.000065662825,0.00018146903,0.000035364694,0.00010320936,0.000050332023,0.00024482477],"category_scores_gemma":[0.0021466059,0.000046693134,0.00006737449,0.00016916679,0.00024235541,0.00008429047,0.000037725313,0.00017986672,0.0000030565027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014354494,0.000046842793,0.000031136817,0.00000599118,0.00007742146,0.0000050237095,0.0006153285,0.0000018370259,0.00086948107,0.99345905,0.0017130125,0.003031312],"study_design_scores_gemma":[0.009004498,0.00019639006,0.0035307694,0.000064595355,0.0004930541,0.0021058163,0.006438821,0.0003410624,0.0034034946,0.9472824,0.02685738,0.0002817633],"about_ca_topic_score_codex":7.951715e-7,"about_ca_topic_score_gemma":0.0000018410517,"teacher_disagreement_score":0.046176713,"about_ca_system_score_codex":0.0000107355845,"about_ca_system_score_gemma":0.00008467611,"threshold_uncertainty_score":0.26806596},"labels":[],"label_agreement":null},{"id":"W2933682407","doi":"10.1016/j.aim.2019.04.013","title":"The Hanna Neumann conjecture for Demushkin groups","year":2019,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; Israel Science Foundation; Ministerio de Economía y Competitividad","keywords":"Conjecture; Bar (unit); Cardinality (data modeling); Backslash; Mathematics; Combinatorics; Group (periodic table); Von Neumann architecture; Cover (algebra); Pure mathematics; Physics; Computer science; Quantum mechanics","score_opus":0.03287260248321257,"score_gpt":0.34340960773582596,"score_spread":0.3105370052526134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2933682407","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07506094,0.051615614,0.8141229,0.0048914338,0.014099666,0.012027188,0.0003443753,0.00064610207,0.027191784],"genre_scores_gemma":[0.5089542,0.01286098,0.45317155,0.0006218674,0.0016572225,0.0027750954,0.00014518293,0.00056998886,0.019243872],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972898,0.00009342433,0.001012456,0.00056237256,0.00036437472,0.0006775982],"domain_scores_gemma":[0.9903357,0.00734162,0.00084799033,0.0012875301,0.00012348418,0.00006364359],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011970924,0.0005160985,0.0009879863,0.00022476721,0.00018244894,0.000097634904,0.0011808471,0.0005329183,0.00004531174],"category_scores_gemma":[0.003058163,0.0003531654,0.0003072373,0.00028338618,0.00024133024,0.00010567215,0.0006533832,0.00093149417,0.00004555798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022375416,0.0002171851,0.00014449337,0.00391084,0.00010101025,0.000008103814,0.0015768246,0.0010276353,0.0000030412557,0.9805511,0.0036486331,0.008788753],"study_design_scores_gemma":[0.00050963124,0.000065461936,0.000025978685,0.00035123603,0.000077598655,0.00002398443,0.0007592285,0.0032888923,0.000032312382,0.96005327,0.034420718,0.00039166582],"about_ca_topic_score_codex":0.0000029333191,"about_ca_topic_score_gemma":0.000095270974,"teacher_disagreement_score":0.4338933,"about_ca_system_score_codex":0.00010678961,"about_ca_system_score_gemma":0.000114963936,"threshold_uncertainty_score":0.99989206},"labels":[],"label_agreement":null},{"id":"W2938172806","doi":"10.1007/s00208-022-02527-0","title":"Virtual specialness of certain graphs of special cube complexes","year":2022,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Vertex (graph theory); Mathematics; Cube (algebra); Space (punctuation); Tree (set theory); Virtual space; Graph; Combinatorics; Discrete mathematics; Pure mathematics; Computer science","score_opus":0.03968421832318111,"score_gpt":0.2812301268039855,"score_spread":0.2415459084808044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2938172806","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9622859,0.0043020207,0.003135339,0.0010116274,0.0032391108,0.0013528109,0.0017884312,0.000088494126,0.022796316],"genre_scores_gemma":[0.982561,0.00022167625,0.003587321,0.0001091027,0.0019376248,0.000078188474,0.00009641378,0.00013124243,0.0112774605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951507,0.000574552,0.0018108865,0.00054048846,0.0012398685,0.00068351236],"domain_scores_gemma":[0.9956787,0.0013581936,0.001603471,0.0009683875,0.000232919,0.0001583307],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014973354,0.00050070556,0.0017193691,0.00091517123,0.00033316403,0.000023939272,0.0011760367,0.00019722526,0.027934378],"category_scores_gemma":[0.0006993335,0.0005135827,0.000623998,0.0017140041,0.0006568424,0.00011329737,0.0010434102,0.0006301102,0.00022118674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022566077,0.0023689314,0.0007015949,0.0013572216,0.000938918,0.00005632826,0.014606542,0.00006110931,0.00082890637,0.8911507,0.08063496,0.0070691397],"study_design_scores_gemma":[0.0033930265,0.0025076962,0.0016600426,0.00035330595,0.0012088128,0.00013078161,0.022591667,0.00038780578,0.010429198,0.830079,0.12593658,0.0013220871],"about_ca_topic_score_codex":0.00008133822,"about_ca_topic_score_gemma":0.000015264428,"teacher_disagreement_score":0.06107169,"about_ca_system_score_codex":0.00006031235,"about_ca_system_score_gemma":0.00022125235,"threshold_uncertainty_score":0.9997316},"labels":[],"label_agreement":null},{"id":"W2938872545","doi":"10.1007/s10711-023-00776-0","title":"Coarse geometry of the fire retaining property and group splittings","year":2023,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft","keywords":"Mathematics; Combinatorics; Invariant (physics); Degree (music); Polynomial; Finitely generated group; Monic polynomial; Group (periodic table); Group action; Discrete mathematics; Finitely-generated abelian group; Pure mathematics; Mathematical analysis","score_opus":0.051568104199312154,"score_gpt":0.2870543590218549,"score_spread":0.23548625482254273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2938872545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9947822,0.0004608853,0.00020388469,0.002280174,0.00035164272,0.0003858981,0.000041370058,0.00015604118,0.0013378952],"genre_scores_gemma":[0.99572,0.00016527582,0.0012968289,0.00020188143,0.00014183176,0.000022208527,0.000024648349,0.000034726643,0.0023925467],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978452,0.000113615555,0.00057236245,0.0004159961,0.0005428676,0.0005099574],"domain_scores_gemma":[0.9969778,0.0016381601,0.00036275026,0.0008023894,0.00008243274,0.00013645538],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0021889817,0.00020426093,0.00047572126,0.0008110496,0.00021725231,0.0000257415,0.00065800914,0.00019499118,0.0002696009],"category_scores_gemma":[0.01146818,0.00011482549,0.00013234568,0.0070709763,0.00042622478,0.00009387554,0.0008324607,0.00034470277,0.000052261785],"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":[0.00015184499,0.000636194,0.19219351,0.0020208757,0.0007468662,0.00009250259,0.0033933383,0.0000047857184,0.0021341976,0.08406843,0.24058343,0.47397402],"study_design_scores_gemma":[0.0120199695,0.0016165092,0.36698642,0.0012923133,0.0012492504,0.0005779557,0.012765057,0.0045168437,0.0072909347,0.38429806,0.20453198,0.0028546923],"about_ca_topic_score_codex":0.00009565154,"about_ca_topic_score_gemma":0.0000056539493,"teacher_disagreement_score":0.47111934,"about_ca_system_score_codex":0.000023840366,"about_ca_system_score_gemma":0.00005533945,"threshold_uncertainty_score":0.99685866},"labels":[],"label_agreement":null},{"id":"W2939413407","doi":"10.4153/s0008439519000493","title":"Dense Orderings in the Space of Left-orderings of a Group","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Mathematics; Closure (psychology); Partition (number theory); Group (periodic table); Invariant (physics); Combinatorics; Space (punctuation); Pure mathematics; Discrete mathematics","score_opus":0.01434819644852899,"score_gpt":0.23650260273014054,"score_spread":0.22215440628161154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2939413407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97174764,0.00006346843,0.0005890193,0.0044338303,0.000056089073,0.00044411578,0.000007544655,0.00001270523,0.022645574],"genre_scores_gemma":[0.9936938,0.0000045343777,0.0046004243,0.00026281632,0.000015486983,0.000010152883,0.0000012586208,0.000022589193,0.0013889181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985895,0.00008284264,0.00049206126,0.00019131259,0.00023972026,0.00040456423],"domain_scores_gemma":[0.99792457,0.0012597268,0.00015159306,0.0004681808,0.000054335276,0.00014160106],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008127862,0.00015699545,0.0004749333,0.0003068542,0.000024221988,0.000010412386,0.0004161166,0.00013059522,0.011356328],"category_scores_gemma":[0.0015189669,0.00011713907,0.00009812427,0.00038540407,0.00016427219,0.000016473015,0.000047076974,0.00021099515,0.00089084066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011669828,0.00015008291,0.0016620614,0.00084013474,0.000028846547,0.000028370609,0.002907452,0.0000024070612,0.00025918233,0.98635834,0.0074950033,0.0002564369],"study_design_scores_gemma":[0.0016336158,0.00043508314,0.0038765934,0.0005252706,0.00008290584,0.00023266289,0.0073159114,0.00020150119,0.0007252945,0.91671336,0.06766769,0.00059013476],"about_ca_topic_score_codex":0.0022102913,"about_ca_topic_score_gemma":0.0021775118,"teacher_disagreement_score":0.06964502,"about_ca_system_score_codex":0.000046150337,"about_ca_system_score_gemma":0.00009552526,"threshold_uncertainty_score":0.9998871},"labels":[],"label_agreement":null},{"id":"W2943573267","doi":"10.1093/imrn/rnaa033","title":"Hyperbolic Groups That Are Not Commensurably Co-Hopfian","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Azrieli Foundation; Israel Science Foundation; National Science Foundation","keywords":"Torsion (gastropod); Mathematics; Pure mathematics; Relatively hyperbolic group; Hyperbolic manifold; Mathematical analysis; Hyperbolic function","score_opus":0.46249499601683325,"score_gpt":0.4866249619218552,"score_spread":0.024129965905021977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943573267","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77319163,0.00056312064,0.0068531497,0.088005684,0.004384919,0.003267865,0.0015498339,0.0008826796,0.121301085],"genre_scores_gemma":[0.9750721,0.00020132214,0.020007918,0.0005369361,0.0010710988,0.00021824487,0.00014275414,0.00014959401,0.002600034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99307334,0.00049341837,0.0010614796,0.0009962481,0.00344831,0.0009271989],"domain_scores_gemma":[0.9894933,0.0070544537,0.00094790536,0.0011497823,0.00094896165,0.0004055835],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002808367,0.00060417317,0.0011313084,0.0012384567,0.00029186672,0.00064858556,0.0032781875,0.00061679777,0.0015956298],"category_scores_gemma":[0.008819059,0.0005445452,0.00038945884,0.00047082084,0.00056316983,0.00018150211,0.0028473043,0.0029713165,0.001152634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019789647,0.002977553,0.0033829443,0.006729575,0.002508238,0.0007304415,0.009148555,0.000108900436,0.0005176144,0.83646333,0.13498765,0.002247296],"study_design_scores_gemma":[0.00079822406,0.00011753177,0.001653076,0.000896393,0.000098382254,0.000046847057,0.0038275828,0.0068495073,0.0016571835,0.96957463,0.013725807,0.0007548212],"about_ca_topic_score_codex":0.000112687405,"about_ca_topic_score_gemma":0.00006390034,"teacher_disagreement_score":0.20188044,"about_ca_system_score_codex":0.0003500968,"about_ca_system_score_gemma":0.00024685264,"threshold_uncertainty_score":0.9997006},"labels":[],"label_agreement":null},{"id":"W2943995256","doi":"10.1007/978-3-030-05213-3_12","title":"Vassiliev Invariants of Framed Knots","year":2019,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Geometric and Algebraic Topology","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":"Pure mathematics; Mathematics","score_opus":0.059277730887854554,"score_gpt":0.2906789752819657,"score_spread":0.23140124439411114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943995256","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.001153625,0.00042435213,0.0030343835,0.0000679894,0.00053302036,0.00095448294,0.000053833905,0.00008599493,0.99369234],"genre_scores_gemma":[0.009381508,0.000119278535,0.036776785,0.00008555809,0.00014541869,0.000018084662,0.000016858827,0.00023570351,0.9532208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687517,0.000032466905,0.0015387808,0.00048302417,0.00060893834,0.0004616066],"domain_scores_gemma":[0.9955506,0.0016658062,0.0011946236,0.0013372878,0.00014672177,0.000104989784],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00069139653,0.00060270075,0.0017747082,0.0008019369,0.000033635657,0.00002037479,0.0007216827,0.0010726897,0.0019419695],"category_scores_gemma":[0.0010967356,0.00055505964,0.00031684435,0.000109865134,0.00029767823,0.000055658304,0.0003179505,0.00087150285,0.0005150177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000073203605,0.00014269269,0.000024817338,0.0018191658,0.00013930819,0.0000397759,0.00074323465,0.0000011554674,0.000022990058,0.9917396,0.0042668,0.0010531507],"study_design_scores_gemma":[0.0006132827,0.0001012126,0.000016349508,0.0012430788,0.00015551664,0.000037280373,0.000107901826,0.00012904091,0.00011329777,0.9870581,0.009924569,0.0005003631],"about_ca_topic_score_codex":0.000004749277,"about_ca_topic_score_gemma":0.000013310482,"teacher_disagreement_score":0.040471513,"about_ca_system_score_codex":0.00011652673,"about_ca_system_score_gemma":0.00028001826,"threshold_uncertainty_score":0.9996901},"labels":[],"label_agreement":null},{"id":"W2944395389","doi":"10.1017/s0017089501010102","title":"On a question of Remeslennikov","year":2001,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Element (criminal law); Mathematics; Conjugate; Closure (psychology); Combinatorics; Pure mathematics; Mathematical analysis; Law; Political science","score_opus":0.03711987580218293,"score_gpt":0.31895816726589243,"score_spread":0.28183829146370953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944395389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7915001,0.000084038045,0.1600471,0.0014547877,0.00028390982,0.00016757738,0.000002073739,0.00007073273,0.046389688],"genre_scores_gemma":[0.96901596,0.000054261414,0.028353754,0.00013689772,0.00021439236,0.000004153597,5.755303e-7,0.000025605226,0.0021944179],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832565,0.00012530373,0.0006362174,0.00013595608,0.00046656694,0.0003102949],"domain_scores_gemma":[0.99801224,0.0011208365,0.00031026293,0.00025693089,0.00013354066,0.00016620739],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010036072,0.00015389294,0.00040220047,0.00027568717,0.00008539287,0.000024223098,0.0002272169,0.00012110762,0.00240808],"category_scores_gemma":[0.0033684396,0.00011133439,0.00016646285,0.00034580566,0.00011035459,0.000075781674,0.000037828682,0.0003658768,0.00022892619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051389525,0.00043672978,0.00015014572,0.00006268732,0.00004393654,0.00006722757,0.00015824963,0.000002981923,0.00015435516,0.9893168,0.004674099,0.0048813825],"study_design_scores_gemma":[0.0005453224,0.00028971184,0.00022786573,0.00016684427,0.000043291315,0.0018170583,0.00011515836,0.00015032772,0.00028619994,0.99553704,0.00070792454,0.000113241746],"about_ca_topic_score_codex":9.573437e-7,"about_ca_topic_score_gemma":6.257795e-7,"teacher_disagreement_score":0.17751585,"about_ca_system_score_codex":0.000045259916,"about_ca_system_score_gemma":0.00004353017,"threshold_uncertainty_score":0.99850386},"labels":[],"label_agreement":null},{"id":"W2944760900","doi":"10.1007/978-3-030-05213-3_6","title":"Knot Invariants Through R-Matrix Representations of $$\\mathfrak {B}_n$$","year":2019,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Geometric and Algebraic Topology","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":"Braid; Knot (papermaking); Braid group; Mathematics; Pure mathematics; Connection (principal bundle); Knot invariant; Quantum invariant; Matrix (chemical analysis); Algebra over a field; Combinatorics; Knot theory; Geometry; Engineering; Materials science","score_opus":0.07610013404691458,"score_gpt":0.3446743621645424,"score_spread":0.2685742281176278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944760900","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0006820892,0.0007127635,0.0073880176,0.00015061614,0.0005756873,0.001333955,0.00012334509,0.00012264006,0.9889109],"genre_scores_gemma":[0.005313365,0.00027829193,0.077286944,0.00007331013,0.00018339408,0.000034987082,0.00004475166,0.00025989686,0.91652507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960637,0.0000517229,0.002019287,0.00063204346,0.00071511645,0.0005181474],"domain_scores_gemma":[0.9941959,0.0021499575,0.0015470593,0.0017934572,0.00022167477,0.00009196132],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00067244534,0.00067335955,0.0018293263,0.00069799676,0.000068761554,0.000034237954,0.00082703785,0.0009019578,0.0020102523],"category_scores_gemma":[0.0013084197,0.00064177165,0.0004149005,0.00019091099,0.00037434965,0.0001379955,0.00042052093,0.00084025145,0.00064259145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007944162,0.00017665605,0.00002328559,0.0016733593,0.00017672843,0.00004421008,0.0021587268,0.000008361115,0.000025926593,0.9871721,0.008316901,0.00021577015],"study_design_scores_gemma":[0.00071159046,0.000093135975,0.000009424836,0.0010114897,0.00023882893,0.00007198417,0.0003938895,0.0001362218,0.00013292978,0.98117805,0.015468612,0.0005538559],"about_ca_topic_score_codex":0.000022908582,"about_ca_topic_score_gemma":0.00002886725,"teacher_disagreement_score":0.072385825,"about_ca_system_score_codex":0.00013377408,"about_ca_system_score_gemma":0.00032516423,"threshold_uncertainty_score":0.99960333},"labels":[],"label_agreement":null},{"id":"W2944891608","doi":"10.1215/00127094-2021-0039","title":"Filling metric spaces","year":2022,"lang":"en","type":"preprint","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Hausdorff space; Isoperimetric inequality; Mathematics; Infimum and supremum; Hausdorff measure; Compact space; Combinatorics; Metric space; Hausdorff distance; Banach space; Discrete mathematics; Pure mathematics; Mathematical analysis; Hausdorff dimension","score_opus":0.07005861174305993,"score_gpt":0.3410135533393862,"score_spread":0.27095494159632627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2944891608","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35616016,0.00486251,0.48332664,0.007045642,0.007254595,0.0016453658,0.00014364142,0.0007668525,0.13879459],"genre_scores_gemma":[0.685824,0.00066840946,0.29327354,0.0005261689,0.0027835362,0.0001630236,0.000032274475,0.00032931732,0.01639975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957837,0.00038626525,0.0013066825,0.000497657,0.0012691359,0.0007565956],"domain_scores_gemma":[0.9949266,0.0027757075,0.0009981756,0.0007440774,0.00016451748,0.00039095522],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0025473002,0.00052680285,0.0012646577,0.0012805447,0.00046003153,0.00036497242,0.0012160987,0.00042801927,0.027168382],"category_scores_gemma":[0.005467949,0.0004265335,0.0007054355,0.0008463561,0.00014489406,0.00007640107,0.0018232727,0.003819314,0.00023613217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034271394,0.0010517325,0.00021400885,0.0018312024,0.0009037387,0.0008705979,0.0018789748,0.0004216519,0.000017687124,0.93743575,0.049882192,0.0054582106],"study_design_scores_gemma":[0.00037941858,0.000094306946,0.000045684315,0.00016076754,0.0002891453,0.0012489506,0.0009479828,0.00087087223,0.000027215907,0.9844571,0.011012343,0.00046624595],"about_ca_topic_score_codex":0.00000334499,"about_ca_topic_score_gemma":6.6395665e-7,"teacher_disagreement_score":0.3296638,"about_ca_system_score_codex":0.00027360086,"about_ca_system_score_gemma":0.00027686695,"threshold_uncertainty_score":0.9998186},"labels":[],"label_agreement":null},{"id":"W2945738089","doi":"10.1007/s00220-019-03598-y","title":"Orbit Equivalence Rigidity for Product Actions","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric and Algebraic Topology","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 Regina","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Measure (data warehouse); Orbit (dynamics); Equivalence (formal languages); Rigidity (electromagnetism); Product (mathematics); Action (physics); Direct product","score_opus":0.24260702660760855,"score_gpt":0.4284814789090594,"score_spread":0.18587445230145086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945738089","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33873147,0.0005199025,0.4900334,0.009448986,0.0006048264,0.0059154676,0.00008931338,0.00058952,0.15406713],"genre_scores_gemma":[0.84607726,0.00004767823,0.15199439,0.000059471018,0.00006049868,0.00025634118,0.000014166655,0.000027071683,0.0014631446],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878156,0.000096766395,0.0004266268,0.00024453847,0.00015861643,0.0002919104],"domain_scores_gemma":[0.99406326,0.0032085592,0.00014592698,0.0024092507,0.00012100971,0.000051966566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055148796,0.0001508916,0.00035095203,0.00009186548,0.00013693607,0.000024409137,0.0010163216,0.00007098958,0.00018703728],"category_scores_gemma":[0.0015167327,0.0001394575,0.00011555521,0.0006106783,0.00021989107,0.00015160028,0.00035414964,0.00031129978,0.00039166145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003841029,0.0006525475,0.0002871612,0.00018781208,0.00001703204,9.2845426e-8,0.00026838583,0.0000073304204,0.00015583573,0.9952115,0.0010800269,0.0021284805],"study_design_scores_gemma":[0.000318995,0.000033903776,0.000174225,0.00006501458,0.00002154101,0.0000036609474,0.0001856955,0.003399589,0.0003089362,0.9916542,0.0036738897,0.00016032353],"about_ca_topic_score_codex":0.0000033822612,"about_ca_topic_score_gemma":0.000004581822,"teacher_disagreement_score":0.5073458,"about_ca_system_score_codex":0.00007343073,"about_ca_system_score_gemma":0.00005911815,"threshold_uncertainty_score":0.56869113},"labels":[],"label_agreement":null},{"id":"W2948563350","doi":"10.4153/s000843952000065x","title":"Rigidity of diagonally embedded triangle groups","year":2020,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Université de Sherbrooke","funders":"European Commission","keywords":"Diagonal; Linear subspace; Rigidity (electromagnetism); Mathematics; Combinatorics; Pure mathematics; Geometry; Structural engineering; Engineering","score_opus":0.07333200046836245,"score_gpt":0.29776333853686276,"score_spread":0.2244313380685003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948563350","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58407056,0.0013752577,0.019711383,0.07587684,0.002152687,0.0050673,0.0021491728,0.00069758977,0.3088992],"genre_scores_gemma":[0.973847,0.000028437145,0.020604774,0.0007238077,0.0006446732,0.0001410343,0.00010059664,0.00014199124,0.0037677095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966232,0.00023104399,0.0012217435,0.0006873338,0.0004889942,0.00074767624],"domain_scores_gemma":[0.9952967,0.0018440605,0.00053101196,0.0009844421,0.00017570543,0.0011680544],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00080454774,0.0005270768,0.0016892155,0.00046642963,0.000086333195,0.000051216473,0.0009867715,0.00078845874,0.039924007],"category_scores_gemma":[0.006489509,0.0005008016,0.000555854,0.00036172316,0.00032127148,0.000014325472,0.00047452727,0.0010825469,0.0043577985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024851579,0.0001899126,0.000024628835,0.002392194,0.00025034332,0.0003616022,0.00078382995,0.000002800718,0.000009310138,0.81749076,0.17774996,0.00071978976],"study_design_scores_gemma":[0.00057755987,0.000082672,0.00004686172,0.00026378132,0.00019325783,0.000045780434,0.00018952665,0.000091115166,0.00011775008,0.9717132,0.026199989,0.0004784945],"about_ca_topic_score_codex":0.0007846194,"about_ca_topic_score_gemma":0.0006605292,"teacher_disagreement_score":0.3897764,"about_ca_system_score_codex":0.00022425585,"about_ca_system_score_gemma":0.000989813,"threshold_uncertainty_score":0.99974436},"labels":[],"label_agreement":null},{"id":"W2948660110","doi":"10.1093/imrn/rnab068","title":"Acylindrical Actions for Two-Dimensional Artin Groups of Hyperbolic Type","year":2021,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Engineering and Physical Sciences Research Council","keywords":"Coxeter group; Mathematics; Action (physics); Pure mathematics; Type (biology); Hyperbolic space; Product (mathematics); Simple (philosophy); Group (periodic table); Space (punctuation); Geometry; Computer science; Physics","score_opus":0.3421613698616342,"score_gpt":0.505884461570656,"score_spread":0.16372309170902183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948660110","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9808153,0.00026708093,0.0063439603,0.0025653215,0.0021324826,0.0010181102,0.00016426522,0.00007309921,0.0066203624],"genre_scores_gemma":[0.8718165,0.000024820623,0.125049,0.000032814918,0.00062147545,0.00018402387,0.0001478525,0.00006407506,0.0020594427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960069,0.00021204483,0.0010126742,0.00056677614,0.0016895452,0.00051205605],"domain_scores_gemma":[0.9870786,0.008680756,0.0005523104,0.000680907,0.0028549898,0.00015242028],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0021941205,0.0002906814,0.00072214263,0.00093147845,0.00014625033,0.00015818888,0.0011286327,0.00035695685,0.0010835471],"category_scores_gemma":[0.014267089,0.00026444416,0.0003343379,0.00051153224,0.00033691464,0.00011192482,0.001539175,0.001110551,0.00005305171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023783783,0.0054363897,0.0002696879,0.00411895,0.0023116604,0.0000631763,0.0033965257,0.003968983,0.0049090493,0.9608835,0.012220821,0.0021834066],"study_design_scores_gemma":[0.0009934268,0.00019803141,0.00020255237,0.0007277347,0.00015905856,0.00004271926,0.0015553964,0.045700446,0.0051153246,0.94366336,0.0012187187,0.00042324196],"about_ca_topic_score_codex":0.00005663288,"about_ca_topic_score_gemma":0.00006030372,"teacher_disagreement_score":0.118705034,"about_ca_system_score_codex":0.00017211003,"about_ca_system_score_gemma":0.000541053,"threshold_uncertainty_score":0.99998075},"labels":[],"label_agreement":null},{"id":"W2948702950","doi":"10.5802/crmath.350","title":"Trisection diagrams and twists of 4-manifolds","year":2022,"lang":"fr","type":"preprint","venue":"Comptes Rendus Mathématique","topic":"Geometric and Algebraic Topology","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 Georgia","keywords":"Twist; Miller; Mathematics; Manifold (fluid mechanics); Pure mathematics; Combinatorics; Algebra over a field; Geometry; Geology; Engineering","score_opus":0.03399103187839301,"score_gpt":0.29194120861753853,"score_spread":0.2579501767391455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948702950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9609935,0.0133126695,0.010435577,0.0011751747,0.0027950334,0.0012014561,0.00024715142,0.00019145902,0.009647971],"genre_scores_gemma":[0.9718881,0.004370212,0.0124972705,0.000079473684,0.00029901296,0.00025209607,0.00015855742,0.00011552368,0.010339723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99594194,0.0007121822,0.0014503724,0.0008211728,0.00050647144,0.00056787865],"domain_scores_gemma":[0.99531925,0.0018559324,0.0014009746,0.0010391077,0.00016643696,0.00021832959],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010835509,0.00066877314,0.0015860173,0.00057422806,0.00018592633,0.0000682573,0.0006443224,0.0007994102,0.0108914245],"category_scores_gemma":[0.0007655993,0.0007110255,0.00035827074,0.00064877316,0.00041221236,0.0000859585,0.0017730447,0.001561615,0.000102235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011155778,0.0019968452,0.017263597,0.008956247,0.0010555891,0.00013377522,0.009979032,0.00045884386,0.00052288617,0.90102595,0.02546628,0.033029404],"study_design_scores_gemma":[0.002452267,0.0012880672,0.056710705,0.0011666379,0.0010095867,0.00072732405,0.0034148837,0.004975831,0.0017999155,0.8038005,0.120602295,0.0020519374],"about_ca_topic_score_codex":0.0004936292,"about_ca_topic_score_gemma":0.000049349383,"teacher_disagreement_score":0.09722539,"about_ca_system_score_codex":0.00024319746,"about_ca_system_score_gemma":0.0001689179,"threshold_uncertainty_score":0.9995341},"labels":[],"label_agreement":null},{"id":"W2949160953","doi":"10.1112/jlms/jdv029","title":"One-connectivity and finiteness of Hamiltonian<i>S</i><sup>1</sup>-manifolds with minimal fixed sets","year":2015,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Symplectic geometry; Manifold (fluid mechanics); Fixed point; Symplectic manifold; Point (geometry); Set (abstract data type); Hamiltonian (control theory)","score_opus":0.046768167663160644,"score_gpt":0.2787009771008442,"score_spread":0.23193280943768355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949160953","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9910178,0.00018019887,0.0061509865,0.0017607402,0.000065722954,0.00021173114,0.000008832873,0.000015651367,0.0005883301],"genre_scores_gemma":[0.9523821,0.000019177636,0.046981126,0.000180622,0.000094771116,0.0000033961833,2.571242e-7,0.000028034343,0.0003105295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978194,0.00019325859,0.0007544423,0.00017058999,0.0007423676,0.00031993113],"domain_scores_gemma":[0.99641573,0.001819726,0.0008012935,0.0003678628,0.00036830138,0.00022709974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018162644,0.00022340879,0.0008410229,0.00006228366,0.00009885659,0.000033321812,0.00042820527,0.00019791015,0.00006809607],"category_scores_gemma":[0.001862241,0.00012999102,0.00037849235,0.0004288333,0.00040674413,0.0001571002,0.00020820535,0.00045435794,0.0000050286517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0034554107,0.017121207,0.08726092,0.011544007,0.009712745,0.00021383844,0.13031524,0.001429311,0.0059551527,0.6348738,0.086193316,0.011925023],"study_design_scores_gemma":[0.0059565734,0.0014030597,0.010465194,0.0006802617,0.0008877646,0.0012385274,0.0059089675,0.0031851893,0.0033135242,0.9660164,0.00044958707,0.00049494277],"about_ca_topic_score_codex":0.0000059258555,"about_ca_topic_score_gemma":0.0000019104627,"teacher_disagreement_score":0.33114257,"about_ca_system_score_codex":0.000070038455,"about_ca_system_score_gemma":0.00017499091,"threshold_uncertainty_score":0.530088},"labels":[],"label_agreement":null},{"id":"W2949245455","doi":"10.48550/arxiv.0908.0569","title":"Compressed words and automorphisms in fully residually free groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Decidability; Automorphism; Word (group theory); Word problem (mathematics education); Mathematics; Group (periodic table); Polynomial; Finitely-generated abelian group; Free group; Combinatorics; Discrete mathematics; Arithmetic; Physics; Mathematical analysis; Geometry","score_opus":0.07058922011539687,"score_gpt":0.3044489275108015,"score_spread":0.23385970739540463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949245455","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9902894,0.001052989,0.0011917612,0.0023599565,0.0004564852,0.0005163138,0.00003246483,0.000224653,0.0038759804],"genre_scores_gemma":[0.9910814,0.00017502508,0.006656958,0.0004359243,0.00024847765,0.000042713556,0.00003431794,0.00005360883,0.0012715524],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974143,0.00020450726,0.00073568657,0.00076657336,0.0003247298,0.00055420306],"domain_scores_gemma":[0.9975237,0.0006393198,0.00036657866,0.0012470117,0.00007064815,0.00015272653],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006770975,0.00046193053,0.0009196297,0.0005518977,0.00007770949,0.000051905186,0.00082751445,0.00069411076,0.00025149924],"category_scores_gemma":[0.0010719586,0.00045065096,0.00012293312,0.00040511353,0.00020669695,0.00006490252,0.0012711859,0.0012175881,0.000051273684],"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":[0.0002670391,0.0016837333,0.783756,0.0017672539,0.0005143075,0.0012419093,0.0064339414,0.00015764627,0.00056079804,0.14657643,0.047846187,0.009194731],"study_design_scores_gemma":[0.0013178965,0.00011911969,0.48358598,0.00023288693,0.00007879047,0.000027861495,0.00016437045,0.000096456744,0.00013216565,0.51303035,0.00069769827,0.0005164219],"about_ca_topic_score_codex":0.00019334619,"about_ca_topic_score_gemma":0.00028894073,"teacher_disagreement_score":0.36645392,"about_ca_system_score_codex":0.000080887265,"about_ca_system_score_gemma":0.00013244606,"threshold_uncertainty_score":0.99979454},"labels":[],"label_agreement":null},{"id":"W2949253081","doi":"10.48550/arxiv.1402.1570","title":"Arcs intersecting at most once","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Pairwise comparison; Cardinality (data modeling); Mathematics; Set (abstract data type); Bounded function; Combinatorics; Simple (philosophy); Euler characteristic; Surface (topology); Polynomial; Euler's formula; Discrete mathematics; Geometry; Mathematical analysis; Computer science; Statistics","score_opus":0.12733091853547765,"score_gpt":0.22068850340631743,"score_spread":0.09335758487083978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949253081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8940368,0.000031955624,0.08813189,0.00007625952,0.00077602745,0.00020953154,0.000012302468,0.00021690362,0.01650831],"genre_scores_gemma":[0.9846269,0.000038681195,0.0012766931,0.000110513654,0.0001452994,6.579965e-7,0.000014871721,0.000039685867,0.01374672],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982369,0.00015049838,0.0002642518,0.000833329,0.000079490135,0.00043556187],"domain_scores_gemma":[0.9977468,0.000708226,0.00040121743,0.00087809615,0.00010846476,0.00015715476],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033830397,0.0003395522,0.0005148887,0.00036463223,0.00018170325,0.000026356285,0.0007365115,0.0004289314,0.00046842854],"category_scores_gemma":[0.0005824799,0.0003819355,0.00022901098,0.0004832761,0.00017648713,0.000058750993,0.0021076761,0.0007443041,0.00027744944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001732448,0.00034178354,0.020588825,0.001124789,0.00068758597,0.0008474096,0.0017999039,0.023605831,0.00009839429,0.93580014,0.013100072,0.0018320243],"study_design_scores_gemma":[0.0014093547,0.00015532758,0.00086606876,0.000386022,0.0004922822,0.000057782894,0.0014331213,0.06435616,0.000370438,0.9233163,0.0057481886,0.001408959],"about_ca_topic_score_codex":0.00014251196,"about_ca_topic_score_gemma":0.00013160358,"teacher_disagreement_score":0.09059005,"about_ca_system_score_codex":0.0003655199,"about_ca_system_score_gemma":0.00007622097,"threshold_uncertainty_score":0.99986327},"labels":[],"label_agreement":null},{"id":"W2949453465","doi":"10.3929/ethz-b-000094886","title":"Lagrangian Cobordism and Fukaya Categories","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Cobordism; Mathematics; Morphism; Lagrangian; Pure mathematics; Functor; Symplectic geometry; Symplectic manifold; Manifold (fluid mechanics); Construct (python library); Concrete category; Algebra over a field; Computer science","score_opus":0.08280615134089067,"score_gpt":0.2057064007894808,"score_spread":0.12290024944859013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949453465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97053415,0.0002395267,0.017639864,0.00023984392,0.00046595986,0.00035457424,0.000025654412,0.00019363928,0.010306811],"genre_scores_gemma":[0.9869091,0.0002608113,0.00068265485,0.000055461453,0.00009650888,0.0000013696991,0.000016507964,0.000029163033,0.011948403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866456,0.000088393565,0.00018840336,0.00064808276,0.000059347065,0.00035122575],"domain_scores_gemma":[0.99858916,0.00030546662,0.00021028698,0.00060679275,0.000111085465,0.000177237],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015613233,0.0003123866,0.0004686378,0.00033101637,0.00013362785,0.000051197185,0.00041208175,0.0004462689,0.00041819326],"category_scores_gemma":[0.00014251345,0.00032283517,0.00013477322,0.00036075705,0.0003073293,0.00010320787,0.0008704336,0.0005147107,0.00014792582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013096219,0.00007031213,0.0036821219,0.00023608012,0.00016096227,0.00012285083,0.0004066862,0.00015242562,0.0000050604785,0.99086547,0.0037245895,0.00056033593],"study_design_scores_gemma":[0.00046924263,0.000041991858,0.0025852695,0.000035075136,0.00022305037,0.000011624238,0.00076602417,0.001817171,0.000023329676,0.99160296,0.001981495,0.00044279627],"about_ca_topic_score_codex":0.0005247286,"about_ca_topic_score_gemma":0.00008267308,"teacher_disagreement_score":0.01695721,"about_ca_system_score_codex":0.00006418881,"about_ca_system_score_gemma":0.00007582561,"threshold_uncertainty_score":0.9999224},"labels":[],"label_agreement":null},{"id":"W2949587182","doi":"10.48550/arxiv.0804.2661","title":"The Non-triviality of the Grope Filtrations of The Knot and Link Concordance Groups","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Triviality; Knot (papermaking); Link (geometry); Concordance; Mathematics; Knot theory; Computer science; Pure mathematics; Combinatorics; Engineering; Biology; Genetics; Pulp and paper industry","score_opus":0.0657462163570693,"score_gpt":0.2954375065856383,"score_spread":0.229691290228569,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949587182","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99165016,0.00046051803,0.000579309,0.0033456248,0.0008892658,0.000603466,0.000049532217,0.000016721615,0.0024054206],"genre_scores_gemma":[0.9974695,0.0006031379,0.0002372649,0.0001168338,0.0001941553,0.000032733602,0.0000024373344,0.000018577728,0.0013253903],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9983647,0.00025840788,0.0006232053,0.0002796844,0.000258501,0.00021551631],"domain_scores_gemma":[0.9961225,0.0015111422,0.00080077373,0.0013555377,0.00017368414,0.00003638812],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052739214,0.00021122408,0.00044069882,0.000039574403,0.0003364875,0.000012946994,0.00090779644,0.00023526028,0.000026157795],"category_scores_gemma":[0.0018492119,0.00010298535,0.00024116745,0.0003555455,0.0010865805,0.000026938693,0.0010047207,0.0006858403,0.000005081843],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000379959,0.00033032367,0.88786346,0.00071953435,0.00045699504,0.0000030874137,0.003858985,0.000049107253,0.0009660772,0.09501098,0.007987502,0.0027159585],"study_design_scores_gemma":[0.0003947198,0.00004591095,0.8807756,0.00015726063,0.00014899368,0.000018125123,0.0002335721,0.00006643602,0.003818651,0.1116802,0.0024625272,0.00019800819],"about_ca_topic_score_codex":0.0002167957,"about_ca_topic_score_gemma":0.00015929835,"teacher_disagreement_score":0.016669225,"about_ca_system_score_codex":0.000023917755,"about_ca_system_score_gemma":0.00020260426,"threshold_uncertainty_score":0.41996208},"labels":[],"label_agreement":null},{"id":"W2949690125","doi":"10.1090/tran/7833","title":"Taut foliations in branched cyclic covers and left-orderable groups","year":2019,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.012885155937438601,"score_gpt":0.2687138510522583,"score_spread":0.2558286951148197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949690125","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.928427,0.000024786797,0.06807899,0.0014666503,0.000056164434,0.000347829,0.000010447095,0.000037794016,0.0015503692],"genre_scores_gemma":[0.9837434,0.00004421649,0.014893683,0.00018362707,0.000008220396,0.000010950272,4.737715e-7,0.000017882474,0.0010974966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890953,0.00007120565,0.0003616144,0.00019419692,0.00020768172,0.00025576068],"domain_scores_gemma":[0.9983288,0.0010113383,0.000194615,0.00038106597,0.000028921377,0.000055251232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002830157,0.00013907572,0.00045638566,0.000055298668,0.000095694064,0.0000116305,0.00021358918,0.00006230703,0.0005439117],"category_scores_gemma":[0.00012708976,0.00010293616,0.00026294286,0.0006441213,0.0004444784,0.000080833735,0.000021997883,0.0002566172,0.000023702498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018500739,0.005775968,0.068772055,0.0035123979,0.0019281722,0.0000025983657,0.04301473,0.0021525023,0.018569626,0.83939236,0.0041448567,0.012549725],"study_design_scores_gemma":[0.0016583861,0.00021023098,0.0258187,0.00010334008,0.00023197876,0.000035888683,0.008902139,0.0062898644,0.0011018766,0.95497966,0.00025475214,0.00041319738],"about_ca_topic_score_codex":0.0000898157,"about_ca_topic_score_gemma":0.000019247049,"teacher_disagreement_score":0.11558729,"about_ca_system_score_codex":0.00004960893,"about_ca_system_score_gemma":0.000035502188,"threshold_uncertainty_score":0.5955452},"labels":[],"label_agreement":null},{"id":"W2949714496","doi":"","title":"Casson towers and slice links","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Mathematics; Counterexample; Ribbon; Tower; Embedding; Pure mathematics; Conjecture; Fundamental group; Boundary (topology); Homotopy; Slicing; Manifold (fluid mechanics); Construct (python library); Prime (order theory); Topology (electrical circuits); Geometry; Mathematical analysis; Discrete mathematics; Combinatorics; Computer science; Engineering","score_opus":0.1075448252169114,"score_gpt":0.21791375435461086,"score_spread":0.11036892913769945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949714496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9426367,0.00013550743,0.04533417,0.000212417,0.00050417415,0.00024228416,0.0000144556625,0.00017094094,0.010749341],"genre_scores_gemma":[0.990429,0.00025900372,0.0008951731,0.00013141919,0.00012519895,5.0785854e-7,0.000008427683,0.000027260265,0.008123999],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998609,0.00011425313,0.00018299602,0.0007048645,0.00006153527,0.00032733058],"domain_scores_gemma":[0.99835324,0.00049232837,0.0002452546,0.0006509202,0.00008584777,0.00017241774],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029280758,0.0002852851,0.00045916598,0.0003216182,0.00010332791,0.000030445743,0.0004122807,0.000832049,0.00016371647],"category_scores_gemma":[0.0003035019,0.00031233224,0.00013935022,0.00029585187,0.00017074586,0.000052120162,0.00084019545,0.0009856716,0.00005774267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068803645,0.00018283346,0.0074745095,0.0006351872,0.00038190404,0.0004082506,0.00068135926,0.0022333027,0.000015401616,0.9740626,0.009310349,0.004545507],"study_design_scores_gemma":[0.001206333,0.00014331042,0.001391373,0.00012956843,0.0005233895,0.000032460524,0.0005289235,0.019633705,0.000055501358,0.95771927,0.017710049,0.000926098],"about_ca_topic_score_codex":0.00018555336,"about_ca_topic_score_gemma":0.000029537538,"teacher_disagreement_score":0.0477923,"about_ca_system_score_codex":0.00008899255,"about_ca_system_score_gemma":0.00006304511,"threshold_uncertainty_score":0.9999329},"labels":[],"label_agreement":null},{"id":"W2949763105","doi":"10.48550/arxiv.math/0603552","title":"Constructing hyperbolic polyhedra using Newton's Method","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Polyhedron; Mathematics; Geodesic; Hyperbolic manifold; Dihedral angle; Integer (computer science); Hyperbolic space; Dihedral group; Pure mathematics; Hyperbolic group; Mathematical analysis; Geometry; Group (periodic table); Physics; Hyperbolic function; Computer science","score_opus":0.1458547831144494,"score_gpt":0.37768045211844775,"score_spread":0.23182566900399834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949763105","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9408946,0.0004477749,0.04808529,0.0005389309,0.0014933978,0.00034942164,0.000021999711,0.00028022492,0.007888382],"genre_scores_gemma":[0.7528382,0.000012489171,0.2432376,0.00019963105,0.0011406335,0.000018601382,0.000027423395,0.00011975751,0.0024056486],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970879,0.0002709773,0.0007984604,0.00082159427,0.0003063886,0.0007146826],"domain_scores_gemma":[0.997097,0.000955183,0.0007117838,0.000957377,0.00013441291,0.00014423266],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006544928,0.0005378991,0.0010505812,0.0005008168,0.0001836365,0.000059404527,0.0005641941,0.00074005354,0.00030657786],"category_scores_gemma":[0.0010282298,0.00053228316,0.00034595485,0.0004926962,0.00020206212,0.00007074684,0.0010659193,0.0011873567,0.000069718255],"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":[0.000017807106,0.00024260479,0.9009723,0.00079835043,0.00052641187,0.00016365809,0.00053439476,0.00019229634,0.0009982995,0.070551164,0.0031934893,0.02180923],"study_design_scores_gemma":[0.0034731484,0.00014149932,0.122912005,0.0010465699,0.0024068423,0.0018047349,0.0032151826,0.0045641563,0.013640132,0.8322985,0.00955722,0.0049400097],"about_ca_topic_score_codex":0.0013865875,"about_ca_topic_score_gemma":0.000034683322,"teacher_disagreement_score":0.77806026,"about_ca_system_score_codex":0.0002061643,"about_ca_system_score_gemma":0.00026156785,"threshold_uncertainty_score":0.9997129},"labels":[],"label_agreement":null},{"id":"W2949816891","doi":"10.48550/arxiv.math/0702091","title":"Totally Non-coisotropic Displacement and Its Applications to Hamiltonian Dynamics","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Submanifold; Symplectic geometry; Mathematics; Hamiltonian (control theory); Diffeomorphism; Pure mathematics; Lagrangian; Symplectic manifold; Conjecture; Symplectomorphism; Mathematical proof; Manifold (fluid mechanics); Mathematical analysis; Geometry; Mathematical optimization","score_opus":0.05455941452913341,"score_gpt":0.3367235618248839,"score_spread":0.28216414729575046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949816891","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91240793,0.00024055409,0.079193324,0.0013605724,0.00033679482,0.0013521286,0.000062055224,0.00010574158,0.00494092],"genre_scores_gemma":[0.9876276,0.00012870337,0.0059081153,0.00039849817,0.0002401568,0.00032883242,0.00006565236,0.00005648653,0.0052459575],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9980479,0.000030131136,0.0005176909,0.0006765237,0.00024616686,0.00048158283],"domain_scores_gemma":[0.9983357,0.00028777125,0.00022851606,0.00076192647,0.00012611908,0.00025995044],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00027904217,0.00036615142,0.0005046334,0.00037451062,0.00014303565,0.000035418125,0.00042774566,0.0003843727,0.00011785084],"category_scores_gemma":[0.00023151633,0.0003618383,0.00010526519,0.00036707227,0.00006501004,0.00003315289,0.0010658153,0.0005532495,0.0003161284],"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":[0.00010787572,0.0015766704,0.319315,0.0033305765,0.001046528,0.000104920604,0.0029090215,0.00026921407,0.0006066563,0.64047784,0.004904717,0.025351016],"study_design_scores_gemma":[0.0023478214,0.00059853995,0.80964357,0.0005344407,0.00082166627,0.00008563251,0.0012319543,0.0031606995,0.00083280454,0.13237171,0.04533521,0.0030359242],"about_ca_topic_score_codex":0.00006977294,"about_ca_topic_score_gemma":0.00028234953,"teacher_disagreement_score":0.5081061,"about_ca_system_score_codex":0.0002724111,"about_ca_system_score_gemma":0.00009412251,"threshold_uncertainty_score":0.99988335},"labels":[],"label_agreement":null},{"id":"W2950204081","doi":"10.48550/arxiv.0705.2623","title":"Densely ordered braid subgroups","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Braid group; Mathematics; Commutator subgroup; Combinatorics; Kernel (algebra); Braid; Characterization (materials science); Commutator; Pure mathematics; Group (periodic table); Normal subgroup; Algebra over a field; Physics; Geography","score_opus":0.15289907713171905,"score_gpt":0.23206857357772284,"score_spread":0.0791694964460038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950204081","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7501612,0.00016570796,0.20872883,0.00015653632,0.0007326037,0.0005338672,0.000024193092,0.00039071965,0.039106373],"genre_scores_gemma":[0.98068154,0.0001673585,0.0022176718,0.00016067675,0.00015193458,8.637206e-7,0.00002565557,0.00005372872,0.01654056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976907,0.00020157603,0.00039302433,0.0009727567,0.00012742545,0.00061454094],"domain_scores_gemma":[0.9970155,0.0010557348,0.00044388237,0.00105257,0.00020259862,0.0002297618],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00073171215,0.00045242585,0.00085225113,0.000779526,0.0001382928,0.0000369779,0.0008786341,0.0007925793,0.00075382704],"category_scores_gemma":[0.0006286605,0.0004941662,0.00044593887,0.0009547347,0.00045238613,0.00008329318,0.0010514085,0.00096460705,0.0003196291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031975904,0.00017505545,0.0014220335,0.0001980074,0.00027323375,0.0006567786,0.00019099154,0.0005918861,0.0000040776795,0.9941132,0.0017790355,0.00027593563],"study_design_scores_gemma":[0.0034923512,0.000045652578,0.0005440255,0.00006179596,0.00034197886,0.000024899222,0.00027901935,0.002642847,0.00006603332,0.99002486,0.0018474746,0.0006290508],"about_ca_topic_score_codex":0.000258373,"about_ca_topic_score_gemma":0.00014782659,"teacher_disagreement_score":0.2305204,"about_ca_system_score_codex":0.00019090083,"about_ca_system_score_gemma":0.00017051956,"threshold_uncertainty_score":0.999751},"labels":[],"label_agreement":null},{"id":"W2950209990","doi":"10.48550/arxiv.0810.4867","title":"On Systems of Equations over Free Partially Commutative Groups","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Eusko Jaurlaritza","keywords":"Commutative property; Group (periodic table); Mathematics; Pure mathematics; Algebra over a field; Physics; Quantum mechanics","score_opus":0.1188455811369115,"score_gpt":0.329125597930379,"score_spread":0.21028001679346747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950209990","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97481894,0.00025520302,0.017902676,0.00023083037,0.00096504367,0.00056522555,0.00014447843,0.00009990989,0.0050176675],"genre_scores_gemma":[0.99798006,0.00007272652,0.0005701564,0.0000819558,0.00018058611,0.000092551454,0.00005157464,0.000043530978,0.00092683965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797356,0.00025178533,0.0007232235,0.00038080264,0.0003716562,0.00029898985],"domain_scores_gemma":[0.9951715,0.002621197,0.0007050974,0.00123749,0.00017968217,0.000085040076],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00034092076,0.0003059679,0.0007519137,0.0002999754,0.000104465005,0.000013311247,0.00063431874,0.00039542894,0.00019110892],"category_scores_gemma":[0.0027789108,0.00027756242,0.00021573358,0.00027506874,0.0002221586,0.000038792317,0.0006343552,0.00067180773,0.0001349288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006562755,0.0011823522,0.071766116,0.0010150855,0.0009570224,0.00007532611,0.005402571,0.002561057,0.00007541104,0.8923591,0.02436172,0.00017863364],"study_design_scores_gemma":[0.0027362795,0.0007030603,0.116142735,0.0010088299,0.0005361117,0.000030000912,0.0012976328,0.0021718608,0.00075128546,0.8724683,0.0008640965,0.0012898277],"about_ca_topic_score_codex":0.0003968035,"about_ca_topic_score_gemma":0.00006127756,"teacher_disagreement_score":0.04437662,"about_ca_system_score_codex":0.00008565439,"about_ca_system_score_gemma":0.00014683013,"threshold_uncertainty_score":0.99996763},"labels":[],"label_agreement":null},{"id":"W2950237633","doi":"10.3929/ethz-b-000070886","title":"Lagrangian Rabinowitz Floer homology and twisted cotangent bundles","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Floer homology; Mathematics; Submanifold; Lagrangian; Symplectic geometry; Cotangent bundle; Hypersurface; Pure mathematics; Homology (biology); Diffeomorphism; Hamiltonian (control theory); Trigonometric functions; Intersection (aeronautics); Mathematical analysis; Geometry","score_opus":0.08624247168997833,"score_gpt":0.2149385043699527,"score_spread":0.12869603267997437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950237633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98059523,0.00022931593,0.012182744,0.00025136975,0.000848658,0.00037373428,0.000043556774,0.00018535863,0.0052900393],"genre_scores_gemma":[0.9902411,0.00019713031,0.0013607127,0.00009162975,0.00013568564,0.0000015591056,0.000026585905,0.00003930179,0.007906307],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981902,0.00015737233,0.000256815,0.0008702808,0.00007269897,0.00045263718],"domain_scores_gemma":[0.9981101,0.00042455917,0.0002761683,0.0008295352,0.0001349182,0.00022471396],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026995264,0.00038729506,0.0006201812,0.00048157014,0.00014506442,0.000034351215,0.0005446055,0.0009042835,0.00052513357],"category_scores_gemma":[0.00023989758,0.00040822348,0.00019720735,0.0004039631,0.00049163465,0.000058349957,0.0009876002,0.0010695006,0.00009225232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010362597,0.0004293982,0.009531497,0.00046635355,0.0005357296,0.00085424556,0.00065388915,0.00021568524,0.00021481086,0.98284286,0.0029076296,0.0012442761],"study_design_scores_gemma":[0.0018585131,0.0001802583,0.0062446143,0.00008431199,0.0008076715,0.00012829893,0.00063417066,0.0034476009,0.00021554425,0.9771385,0.008147391,0.0011130958],"about_ca_topic_score_codex":0.00023928916,"about_ca_topic_score_gemma":0.00039383947,"teacher_disagreement_score":0.010822032,"about_ca_system_score_codex":0.00008049678,"about_ca_system_score_gemma":0.00010789209,"threshold_uncertainty_score":0.999837},"labels":[],"label_agreement":null},{"id":"W2950275389","doi":"10.48550/arxiv.1206.1342","title":"Equidistant hypersurfaces of the bidisk","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Equidistant; Mathematics; Geometry","score_opus":0.17596278197021037,"score_gpt":0.2214463388145995,"score_spread":0.04548355684438912,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950275389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98310745,0.000283467,0.005888967,0.00008948012,0.00080508157,0.00025245053,0.000052378757,0.0000582639,0.009462479],"genre_scores_gemma":[0.9949773,0.00010448668,0.00032472104,0.000018158362,0.000060452065,3.5341114e-7,0.0000029885562,0.000020651241,0.0044908817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884665,0.00014267139,0.0002285919,0.00037380183,0.00009304861,0.00031523794],"domain_scores_gemma":[0.9981249,0.00031828924,0.00042330616,0.0009539418,0.00009263402,0.000086959786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002871099,0.00023021972,0.00040407968,0.00014619084,0.0000894997,0.000008721459,0.0008939591,0.0003047709,0.00031141733],"category_scores_gemma":[0.00022013379,0.00017945583,0.0003015302,0.0005344976,0.00030734672,0.000051990704,0.0013288311,0.0004279037,0.000038142618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003942649,0.00026415664,0.017258704,0.00036875685,0.00028082074,0.000019755998,0.00050519785,0.0016217683,0.00014570242,0.9778971,0.0014301097,0.00016848437],"study_design_scores_gemma":[0.0008329281,0.000055114393,0.006632855,0.00017541336,0.00089711597,0.0000087455155,0.0014208495,0.0017739758,0.0015538781,0.9833779,0.00258084,0.0006903805],"about_ca_topic_score_codex":0.00012306026,"about_ca_topic_score_gemma":0.000026516618,"teacher_disagreement_score":0.011869874,"about_ca_system_score_codex":0.00008549045,"about_ca_system_score_gemma":0.00011284679,"threshold_uncertainty_score":0.73179966},"labels":[],"label_agreement":null},{"id":"W2950312651","doi":"10.48550/arxiv.1505.00191","title":"Cubic Tessellations of the Helicosms","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Tessellation (computer graphics); Mathematics; Combinatorics; Quotient; Manifold (fluid mechanics); Isomorphism (crystallography); Torus; Cubic form; Euclidean space; Tetrahedron; Group (periodic table); Geometry; Euclidean geometry; Point (geometry); Pure mathematics; Crystallography; Physics; Chemistry; Crystal structure","score_opus":0.1990875390377878,"score_gpt":0.23096518989363854,"score_spread":0.03187765085585073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950312651","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9632349,0.00009270397,0.018013852,0.00017606144,0.0006185412,0.00033611836,0.00004558456,0.00007727798,0.017404934],"genre_scores_gemma":[0.9912135,0.00003253158,0.0003254349,0.000023596649,0.000058621863,4.2597827e-7,0.000005055706,0.000017339798,0.008323484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990236,0.00012320904,0.00020916862,0.00036077492,0.000084313644,0.00019893565],"domain_scores_gemma":[0.9980691,0.0003107357,0.00036697244,0.00094125,0.00023061557,0.00008130127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002453179,0.00018431693,0.00033548236,0.00021352465,0.000079099606,0.000008838276,0.00076126936,0.00028070217,0.00017644552],"category_scores_gemma":[0.000403363,0.00015407031,0.00022211799,0.0007574277,0.0002161573,0.000047411333,0.0009687792,0.00041723953,0.00004549536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013159082,0.000180098,0.0064742235,0.00016688618,0.0001613355,0.000015010214,0.00029989894,0.012441048,0.000023687122,0.97406095,0.0060468265,0.000116876894],"study_design_scores_gemma":[0.0003077948,0.0000216623,0.000980724,0.000055837834,0.00021070111,0.000003292987,0.00024804118,0.0041837622,0.0001488844,0.99283814,0.00081371656,0.00018743928],"about_ca_topic_score_codex":0.00009138352,"about_ca_topic_score_gemma":0.000039932485,"teacher_disagreement_score":0.027978582,"about_ca_system_score_codex":0.00009547135,"about_ca_system_score_gemma":0.0002376027,"threshold_uncertainty_score":0.62828046},"labels":[],"label_agreement":null},{"id":"W2950320606","doi":"10.1215/00127094-2010-216","title":"Random walks on the mapping class group","year":2011,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":103,"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; California Institute of Technology; National Science Foundation","keywords":"Mapping class group; Random walk; Group (periodic table); Mathematics; Class (philosophy); Combinatorics; Surface (topology); Element (criminal law); Pure mathematics; Geometry; Statistics; Computer science; Physics; Artificial intelligence","score_opus":0.11350631773341195,"score_gpt":0.2798542629857488,"score_spread":0.16634794525233682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950320606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4012948,0.00010578718,0.2505019,0.004946175,0.0007600733,0.0006028463,0.000003807079,0.00017315976,0.34161144],"genre_scores_gemma":[0.97450155,0.000018969778,0.022592502,0.00095645105,0.00038010933,0.000021533822,4.156266e-7,0.00004250023,0.0014859731],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794805,0.00024886598,0.00065832475,0.00018106564,0.00047116503,0.0004925552],"domain_scores_gemma":[0.9965506,0.0025070924,0.0002758363,0.00039545938,0.00007156186,0.00019942025],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019504705,0.00022738482,0.00044436211,0.00020210142,0.00032789027,0.00007295813,0.0005250458,0.00013790658,0.0063998355],"category_scores_gemma":[0.0024323594,0.00012101224,0.00027161583,0.00030757353,0.00019198559,0.00007424992,0.0000963297,0.00078073423,0.00076870376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047636808,0.0003106626,0.000039064533,0.000037829763,0.000098951576,0.000075112766,0.0019977565,1.3621327e-7,0.0000561025,0.9862493,0.009275493,0.0018118962],"study_design_scores_gemma":[0.0010850738,0.00013678694,0.00020944174,0.00010670797,0.0000528403,0.00089900085,0.0015172618,0.00018547999,0.00016398566,0.99239933,0.0030722788,0.00017182129],"about_ca_topic_score_codex":0.0000012305865,"about_ca_topic_score_gemma":6.486432e-7,"teacher_disagreement_score":0.5732067,"about_ca_system_score_codex":0.000044621735,"about_ca_system_score_gemma":0.000026517622,"threshold_uncertainty_score":0.99450845},"labels":[],"label_agreement":null},{"id":"W2950360923","doi":"10.48550/arxiv.1308.1594","title":"A prime decomposition theorem for the 2-string link monoid","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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 Victoria","funders":"","keywords":"Prime (order theory); Link (geometry); String (physics); Monoid; Decomposition; Syntactic monoid; Mathematics; Pure mathematics; Stacking; Free monoid; Algebra over a field; Combinatorics; Discrete mathematics; Physics; Mathematical physics; Chemistry","score_opus":0.10721479166298577,"score_gpt":0.2378582164467443,"score_spread":0.1306434247837585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950360923","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.400364,0.0001318339,0.5954914,0.00045875134,0.00052287977,0.0011226746,0.000026802694,0.00016714532,0.0017145026],"genre_scores_gemma":[0.99314135,0.00012397437,0.0030064269,0.00007862215,0.00028317064,0.000010097531,0.000019962063,0.000036175836,0.0033002463],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867374,0.00009831313,0.00023138251,0.00057517993,0.00006012226,0.00036127702],"domain_scores_gemma":[0.99708587,0.001516825,0.00033095802,0.00081843534,0.00015644787,0.000091445625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035570114,0.00028623128,0.0003652422,0.00023275235,0.0002498428,0.000056462693,0.0007817093,0.00038221898,0.00017815077],"category_scores_gemma":[0.000228168,0.00023699485,0.00032044871,0.00030327414,0.00015258782,0.00008175223,0.00066197355,0.0005198856,0.00008699932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047667505,0.0000726104,0.00023015708,0.00012835399,0.0002536922,0.000013724537,0.0001816198,0.0035142088,0.000031155116,0.99224335,0.0009863696,0.0022970822],"study_design_scores_gemma":[0.000552041,0.00005543667,0.0003118581,0.000055950328,0.0003431726,0.0000052205887,0.00021809644,0.052253164,0.0003264077,0.9446675,0.00090208574,0.00030905023],"about_ca_topic_score_codex":0.00008747975,"about_ca_topic_score_gemma":0.000011445913,"teacher_disagreement_score":0.5927773,"about_ca_system_score_codex":0.00013440932,"about_ca_system_score_gemma":0.00008622744,"threshold_uncertainty_score":0.9664369},"labels":[],"label_agreement":null},{"id":"W2950392338","doi":"10.1142/s1793525323500097","title":"Quasimorphisms on surfaces and continuity in the Hofer norm","year":2023,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Azrieli Foundation","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Norm (philosophy); Lipschitz continuity; Homology (biology); Hamiltonian (control theory); Khovanov homology; Law","score_opus":0.0381478655558227,"score_gpt":0.3277543191484979,"score_spread":0.2896064535926752,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950392338","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99242663,0.00025621458,0.000122054684,0.006671717,0.0000640247,0.000027532376,0.0000021548324,0.000004840331,0.00042480396],"genre_scores_gemma":[0.99887323,0.00028712614,0.00015678916,0.0002775276,0.000043978394,6.536079e-7,6.678738e-7,0.0000027135654,0.0003573265],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99914485,0.00018379997,0.00030864292,0.0000931002,0.00012173398,0.00014788583],"domain_scores_gemma":[0.9982763,0.0013410673,0.00020677096,0.00010138465,0.00003783404,0.000036660516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014083898,0.00007636365,0.0003968354,0.0007152032,0.00007246477,0.000014167646,0.00012043555,0.000087001754,0.0000829614],"category_scores_gemma":[0.0004998305,0.00004371817,0.00010597463,0.0010540648,0.0001671964,0.000039597096,0.000029612938,0.000230828,0.0000038114626],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013971241,0.00028220148,0.82725054,0.000042005133,0.001789721,0.00046642264,0.0052445508,0.00009336383,0.000087255576,0.15200205,0.0053937607,0.007208429],"study_design_scores_gemma":[0.00075773895,0.00036115764,0.79492044,0.000011284795,0.0009025062,0.00012393332,0.004864839,0.00027495477,0.000038005597,0.19661303,0.0010173803,0.00011475699],"about_ca_topic_score_codex":0.00003705631,"about_ca_topic_score_gemma":0.00020384208,"teacher_disagreement_score":0.044610973,"about_ca_system_score_codex":0.000006625901,"about_ca_system_score_gemma":0.0000114518925,"threshold_uncertainty_score":0.17827752},"labels":[],"label_agreement":null},{"id":"W2950545432","doi":"10.48550/arxiv.math/0102050","title":"Cyclic and finite surgeries on pretzel knots","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.12288928876109365,"score_gpt":0.32756370982876093,"score_spread":0.20467442106766728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950545432","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9880353,0.0005540612,0.00033813366,0.0009115395,0.00075167144,0.0002936694,0.000024963187,0.00017268432,0.0089179585],"genre_scores_gemma":[0.98978716,0.00071016897,0.0005713826,0.00031297622,0.00030549106,0.000048388665,0.000026563173,0.00005467486,0.008183165],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998239,0.000102834,0.00043548856,0.00059311424,0.0002071476,0.0004224397],"domain_scores_gemma":[0.99727577,0.0015137995,0.00028369157,0.0007395412,0.000058156038,0.00012904778],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030807537,0.00037853394,0.0006421906,0.0003246798,0.00010908171,0.000038363774,0.00025974333,0.00048652894,0.00048539258],"category_scores_gemma":[0.0017182402,0.0003398449,0.00014495615,0.00024041359,0.0001926662,0.0000418243,0.00056162145,0.00071050995,0.00023303047],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000080602425,0.0004576477,0.9546538,0.0008961992,0.0003627486,0.00023236887,0.0014106642,0.000025209953,0.000052251587,0.019451112,0.013885256,0.008492165],"study_design_scores_gemma":[0.0011366156,0.00029214815,0.56482303,0.00059063564,0.0002892921,0.00008260038,0.00034961617,0.000066009175,0.000954564,0.39533883,0.03457728,0.0014993954],"about_ca_topic_score_codex":0.000063015366,"about_ca_topic_score_gemma":0.000019979654,"teacher_disagreement_score":0.38983074,"about_ca_system_score_codex":0.00003635298,"about_ca_system_score_gemma":0.00006471882,"threshold_uncertainty_score":0.99990535},"labels":[],"label_agreement":null},{"id":"W2950756385","doi":"10.48550/arxiv.1810.05127","title":"A Characterization of Rationally Convex Immersions","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Regular polygon; Dimension (graph theory); Mathematics; Transverse isotropy; Characterization (materials science); Degenerate energy levels; Immersion (mathematics); Pure mathematics; Combinatorics; Convex function; Convex body; Mathematical analysis; Isotropy; Geometry; Physics; Convex optimization; Optics","score_opus":0.11029373509429097,"score_gpt":0.21817089612741924,"score_spread":0.10787716103312828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950756385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80892867,0.000005823274,0.18795277,0.000105500796,0.00035595178,0.00021870917,0.000072215575,0.00004909188,0.0023112632],"genre_scores_gemma":[0.9944683,0.000054789365,0.0004872343,0.00005404841,0.00010377179,6.612148e-7,0.0001278573,0.00001774425,0.00468565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989964,0.000087073066,0.00024793288,0.00041866556,0.00007257168,0.00017736465],"domain_scores_gemma":[0.9985354,0.00015235865,0.00045268354,0.00048270967,0.0003014235,0.00007545399],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017826924,0.00018284758,0.00036356653,0.00035422106,0.00007350144,0.000009152093,0.00037876982,0.00030946796,0.0007702309],"category_scores_gemma":[0.00018957027,0.00020485496,0.00016078349,0.00043689072,0.00021536756,0.00007319623,0.0004556342,0.0002322281,0.000061452796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008644358,0.0003503458,0.0049221804,0.00034360052,0.0002695142,0.00004599998,0.0004259561,0.00031219685,0.0038970127,0.9876553,0.0015153536,0.00017608996],"study_design_scores_gemma":[0.0013986751,0.00021363478,0.015645219,0.00023452657,0.00061810616,0.000009689706,0.00036203343,0.015819525,0.0032358144,0.9586729,0.002953839,0.0008360774],"about_ca_topic_score_codex":0.000023603197,"about_ca_topic_score_gemma":0.0000075201783,"teacher_disagreement_score":0.18746555,"about_ca_system_score_codex":0.00006126762,"about_ca_system_score_gemma":0.00017914576,"threshold_uncertainty_score":0.8433488},"labels":[],"label_agreement":null},{"id":"W2950807927","doi":"10.1112/topo.12018","title":"Grope metrics on the knot concordance set","year":2017,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Knot (papermaking); Infimum and supremum; Concordance; Conjecture; Set (abstract data type)","score_opus":0.12501666748841647,"score_gpt":0.3746804404965795,"score_spread":0.24966377300816303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950807927","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9339762,0.00033027338,0.0020533376,0.038926367,0.0026352701,0.00010477326,0.000005157677,0.000011404804,0.021957228],"genre_scores_gemma":[0.99463516,0.00008079799,0.0014760625,0.0009765688,0.0005741929,0.0000012392071,1.2271914e-7,0.000011956062,0.002243914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884135,0.00015271858,0.00043605544,0.000103150946,0.00022072445,0.000246003],"domain_scores_gemma":[0.9961179,0.0019362702,0.0011385038,0.0005523871,0.00018025885,0.00007468919],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0011150879,0.000117062315,0.00039137737,0.00023145236,0.00033384492,0.000042658972,0.0009293655,0.00011704939,0.00061600085],"category_scores_gemma":[0.009324255,0.00006607203,0.00015209954,0.00013106457,0.00040273197,0.00008264264,0.00012299135,0.00047281297,0.00006598257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007783413,0.000119971985,0.0067356126,0.000013824986,0.00014530926,0.00019492801,0.00022883526,0.000001994766,0.000084797546,0.89529103,0.092268646,0.004837211],"study_design_scores_gemma":[0.0013885843,0.0014254182,0.015074187,0.0000379935,0.00012345919,0.0012815404,0.00065825623,0.00002865542,0.0017287192,0.8771633,0.10087584,0.00021403069],"about_ca_topic_score_codex":0.000021321483,"about_ca_topic_score_gemma":0.000012759369,"teacher_disagreement_score":0.060658958,"about_ca_system_score_codex":0.000039074625,"about_ca_system_score_gemma":0.00006886711,"threshold_uncertainty_score":0.99902064},"labels":[],"label_agreement":null},{"id":"W2950905993","doi":"10.48550/arxiv.math/0110016","title":"On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Braid; Index (typography); Mathematics; Crossing number (knot theory); History; Knot (papermaking); Computer science; Materials science; Archaeology; Composite material","score_opus":0.055290969443759504,"score_gpt":0.34399913626389567,"score_spread":0.28870816682013617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950905993","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99609065,0.0006230542,0.0005837043,0.0005968303,0.00018571796,0.00032765057,0.000070033595,0.000021616099,0.0015007502],"genre_scores_gemma":[0.99835986,0.0001921895,0.00058946485,0.00022593517,0.000074440635,0.000011374234,0.0000064902265,0.000034832436,0.0005054343],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9984206,0.00014234964,0.00052059616,0.0004551302,0.00020038919,0.00026092702],"domain_scores_gemma":[0.9971867,0.0017091646,0.00044449666,0.00044809462,0.00013265907,0.00007885005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044471206,0.00032290918,0.0007232014,0.00016736738,0.00013484473,0.000063431275,0.0001822412,0.00038538728,0.00019529636],"category_scores_gemma":[0.0008424937,0.00023868708,0.00008165348,0.00020538457,0.0010515882,0.000065339125,0.0006166858,0.0004644956,0.0000026603313],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009840003,0.00018722579,0.9755395,0.0007960293,0.00032539712,0.000020347987,0.003896591,0.0000013751412,0.0009338257,0.015374434,0.00032569436,0.0025011762],"study_design_scores_gemma":[0.0007459396,0.00012233628,0.79318124,0.0005650802,0.00015700446,0.00010327149,0.00041410996,0.000058944563,0.002136892,0.20209791,0.00009178245,0.0003255027],"about_ca_topic_score_codex":0.00023068732,"about_ca_topic_score_gemma":0.000015224684,"teacher_disagreement_score":0.18672347,"about_ca_system_score_codex":0.000014394072,"about_ca_system_score_gemma":0.000056848898,"threshold_uncertainty_score":0.97333765},"labels":[],"label_agreement":null},{"id":"W2950928954","doi":"10.82308/32270","title":"Hyperfiniteness of boundary actions of hyperbolic groups","year":2017,"lang":"en","type":"article","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"McGill University","keywords":"Mathematics; Equivalence relation; Borel equivalence relation; Polish space; Cayley graph; Combinatorics; Hyperbolic group; Pure mathematics; Graph; Discrete mathematics; Mathematical analysis; Borel measure; Probability measure; Hyperbolic manifold","score_opus":0.0701752168541709,"score_gpt":0.30314137544255937,"score_spread":0.23296615858838848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950928954","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93796533,0.000099385245,0.0000038750472,0.00006154825,0.0006374502,0.00024592038,0.00032739076,0.00008708479,0.060572036],"genre_scores_gemma":[0.99565166,0.00008434811,0.0028000984,0.000060874547,0.000044919456,0.000026546464,0.000008383649,0.00007090041,0.0012522562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99752444,0.00017732388,0.00082957675,0.00047066153,0.0004860879,0.00051189546],"domain_scores_gemma":[0.996142,0.00074963964,0.00096352055,0.0015965361,0.00035043556,0.00019786182],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00087202975,0.0003352651,0.0008223943,0.00043022062,0.0013001661,0.000038172504,0.0010451208,0.0003332959,0.00038228623],"category_scores_gemma":[0.004149859,0.00032422793,0.00031755955,0.00040685575,0.0005468872,0.0005835184,0.00045071507,0.0005478517,0.000083167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057955127,0.00053259404,0.0012716033,0.0002734949,0.00020451902,0.00002072694,0.00000980187,0.0000025935087,0.035790473,0.9092942,0.000009610708,0.052532434],"study_design_scores_gemma":[0.0018583075,0.00031472582,0.019797556,0.00016529656,0.00029285686,0.00012592667,0.00028116108,0.000011561853,0.14833866,0.7978045,0.030373182,0.0006362933],"about_ca_topic_score_codex":0.00026593922,"about_ca_topic_score_gemma":0.00012356705,"teacher_disagreement_score":0.112548195,"about_ca_system_score_codex":0.0001028821,"about_ca_system_score_gemma":0.000050684295,"threshold_uncertainty_score":0.9999958},"labels":[],"label_agreement":null},{"id":"W2951150309","doi":"10.48550/arxiv.math/0407407","title":"Virtual Knot Diagrams and the Witten-Reshetikhin-Turaev Invariant","year":2004,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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. Military Academy; University of Waterloo; Defense Advanced Research Projects Agency; U.S. Air Force; Institut Périmètre de physique théorique; Advanced Research Projects Agency; National Science Foundation","keywords":"Invariant (physics); Knot (papermaking); Mathematics; Pure mathematics; Quantum invariant; Finite type invariant; Generalization; Knot invariant; Knot theory; Invariant polynomial; Mathematical physics; Mathematical analysis; Polynomial","score_opus":0.08139850500808646,"score_gpt":0.2011849106358767,"score_spread":0.11978640562779025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951150309","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.938589,0.00028746543,0.053236216,0.0011005393,0.00066907005,0.0007509961,0.000027477823,0.00019286254,0.005146406],"genre_scores_gemma":[0.99453264,0.00040721454,0.00027286183,0.00022006461,0.00015237239,0.0000023985451,0.000013465657,0.00003520153,0.004363799],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807334,0.00026576957,0.00029689385,0.0008197397,0.000116435454,0.00042780532],"domain_scores_gemma":[0.9974133,0.0010052545,0.00033911184,0.000948575,0.00012220928,0.00017157594],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005500626,0.00041673912,0.0006540371,0.00026781042,0.0002430431,0.000077337914,0.0008179037,0.00047356304,0.00016352013],"category_scores_gemma":[0.0006605376,0.0003181865,0.00022916844,0.0006197983,0.00092427834,0.000087257315,0.0015290164,0.0009918405,0.00007562517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012990652,0.000100493424,0.00040467555,0.0000737757,0.00022333604,0.00022406278,0.0006657509,0.0026062462,0.000002083099,0.99470925,0.000583943,0.00027646392],"study_design_scores_gemma":[0.0030482418,0.00008237859,0.0009896068,0.00009349352,0.00040486985,0.000034914305,0.0007334248,0.0034352797,0.000020836864,0.9902036,0.00048460558,0.00046874533],"about_ca_topic_score_codex":0.0004847197,"about_ca_topic_score_gemma":0.00014050605,"teacher_disagreement_score":0.055943657,"about_ca_system_score_codex":0.00014331032,"about_ca_system_score_gemma":0.00021121048,"threshold_uncertainty_score":0.99992704},"labels":[],"label_agreement":null},{"id":"W2951313695","doi":"10.48550/arxiv.0808.2932","title":"Krull dimension of solvable groups","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Mathematics; Krull dimension; Dimension (graph theory); Class (philosophy); Solvable group; Global dimension; Pure mathematics; Limit (mathematics); Algebraic number; Group (periodic table); Algebra over a field; Mathematical analysis; Computer science; Physics; Noetherian","score_opus":0.08725429989336562,"score_gpt":0.30251138244931586,"score_spread":0.21525708255595022,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951313695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9912624,0.00053381175,0.001152368,0.00024382364,0.0008669514,0.000284524,0.000013784403,0.00011450063,0.0055278745],"genre_scores_gemma":[0.9920844,0.00044701278,0.0038617733,0.00009686483,0.00020448127,0.000020386866,0.000026097123,0.000049084967,0.003209918],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981986,0.00007867375,0.00059906556,0.00047314962,0.00027681116,0.0003736814],"domain_scores_gemma":[0.9979679,0.00040543897,0.00048478218,0.00091076264,0.00013845203,0.00009266266],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00027443646,0.00030569106,0.0007544548,0.00027812622,0.000076517426,0.000005952501,0.0004058498,0.0005025357,0.00038265192],"category_scores_gemma":[0.0006089563,0.00027518632,0.00024753946,0.00026258157,0.00017401365,0.00003812256,0.0008810618,0.00060940906,0.00023480866],"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":[0.0001653007,0.00281591,0.7771969,0.00404434,0.001282025,0.00040734475,0.00525012,0.00024964544,0.004842578,0.08319739,0.117177226,0.0033712182],"study_design_scores_gemma":[0.0030265392,0.0006590715,0.2057709,0.0009846444,0.0007321292,0.00023069193,0.00079613144,0.0003819576,0.02805576,0.7429904,0.013955265,0.0024165341],"about_ca_topic_score_codex":0.00013706839,"about_ca_topic_score_gemma":0.000007838029,"teacher_disagreement_score":0.65979296,"about_ca_system_score_codex":0.00004826961,"about_ca_system_score_gemma":0.00010604998,"threshold_uncertainty_score":0.99997},"labels":[],"label_agreement":null},{"id":"W2951443616","doi":"10.48550/arxiv.1504.02774","title":"Geodesic growth of right-angled Coxeter groups based on trees","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Coxeter group; Combinatorics; Mathematics; Geodesic; Tree (set theory); Cardinality (data modeling); Geometry","score_opus":0.10952486761018272,"score_gpt":0.2143917640004316,"score_spread":0.10486689639024889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951443616","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9436797,0.000026308495,0.037321977,0.000107088104,0.00046387236,0.00042086258,0.000072243274,0.00016480655,0.017743172],"genre_scores_gemma":[0.9962877,0.000011787553,0.0008788582,0.000102350525,0.000083791456,0.0000012946484,0.000033627606,0.000039813876,0.0025607815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981678,0.00023175783,0.00032973004,0.00073754165,0.0001612315,0.00037194628],"domain_scores_gemma":[0.9973675,0.000685926,0.0004803398,0.00097337714,0.00029838548,0.0001944917],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041809864,0.00039732884,0.0007513742,0.0007793879,0.00006420648,0.000015431751,0.0007752507,0.0004308915,0.00051270967],"category_scores_gemma":[0.0003936826,0.00038682076,0.00034977138,0.000658148,0.00024758474,0.000064026695,0.0004320582,0.0005429902,0.00008730503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000526291,0.0013502472,0.010252676,0.0007374096,0.0004831309,0.0007217691,0.00033625588,0.011322529,0.000035575722,0.96416104,0.0099407835,0.00013231295],"study_design_scores_gemma":[0.002290215,0.00037277798,0.0018821174,0.0001728379,0.0004911424,0.0000035838025,0.00013171794,0.035361473,0.0004186126,0.95804244,0.00017580712,0.00065727375],"about_ca_topic_score_codex":0.000120802346,"about_ca_topic_score_gemma":0.000051314168,"teacher_disagreement_score":0.052608024,"about_ca_system_score_codex":0.00018581856,"about_ca_system_score_gemma":0.00020894376,"threshold_uncertainty_score":0.9998584},"labels":[],"label_agreement":null},{"id":"W2951457033","doi":"10.48550/arxiv.1611.03574","title":"Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Geodesic; Eigenvalues and eigenvectors; Torsion (gastropod); Equivalence (formal languages); Pure mathematics; Laplace operator; Hyperbolic geometry; Homology (biology); Differential geometry; Mathematical analysis; Physics","score_opus":0.1004783752550338,"score_gpt":0.21064074493111354,"score_spread":0.11016236967607974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951457033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9676805,0.000043924425,0.0043994877,0.00019491996,0.0007860896,0.00038755778,0.00008189157,0.00007746746,0.026348175],"genre_scores_gemma":[0.98415774,0.00010707246,0.00011513676,0.00009767698,0.00014341387,0.0000010619199,0.0000043468217,0.00003929088,0.015334239],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982755,0.00013621133,0.00032891083,0.0006685268,0.00015645454,0.00043435648],"domain_scores_gemma":[0.9972123,0.0005140696,0.00053129427,0.0014956025,0.000121970814,0.00012478906],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032248854,0.0003781159,0.0005785723,0.0005230034,0.00014465078,0.000013635215,0.0013378498,0.0005646782,0.0005027164],"category_scores_gemma":[0.00031714005,0.00027411603,0.0004493466,0.00075828587,0.00029624635,0.000041032607,0.0012721597,0.00059223955,0.00015053485],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005334003,0.0001951968,0.011161141,0.0002004729,0.00022701902,0.0000603407,0.00012417791,0.00033084216,0.00002748731,0.9859286,0.0011675104,0.00052389305],"study_design_scores_gemma":[0.0011445705,0.00015175893,0.015833525,0.00035666974,0.0003672203,0.00001612395,0.00028469664,0.00038013546,0.0009260639,0.9776774,0.0022016815,0.0006601521],"about_ca_topic_score_codex":0.000079117686,"about_ca_topic_score_gemma":0.000061916326,"teacher_disagreement_score":0.016477276,"about_ca_system_score_codex":0.0001921697,"about_ca_system_score_gemma":0.00016955653,"threshold_uncertainty_score":0.9999711},"labels":[],"label_agreement":null},{"id":"W2951591003","doi":"10.48550/arxiv.math/0703297","title":"The log-concavity conjecture for the Duistermaat-Heckman measure revisited","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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; Counterexample; Conjecture; Symplectic geometry; Combinatorics; Disjoint sets; Hamiltonian (control theory); Torus; Measure (data warehouse); Manifold (fluid mechanics); Pure mathematics; Discrete mathematics; Geometry; Computer science","score_opus":0.1264352961663506,"score_gpt":0.3534193814978822,"score_spread":0.2269840853315316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951591003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91355383,0.014698187,0.03518074,0.016856147,0.006258494,0.0053831087,0.00020489118,0.00049618207,0.0073684044],"genre_scores_gemma":[0.99024576,0.00030571272,0.0006215963,0.0012639816,0.0017407819,0.00018667385,0.000041855143,0.00008386668,0.005509755],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99731576,0.00021602846,0.0007209433,0.00064175605,0.00039355145,0.0007119382],"domain_scores_gemma":[0.9917585,0.005360151,0.00066040293,0.0017599827,0.000344236,0.00011668887],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0025654782,0.0005067538,0.00070430303,0.0001699915,0.0007374844,0.00010752133,0.0013428287,0.0007741976,0.00012821447],"category_scores_gemma":[0.004015655,0.00027380724,0.00052921224,0.0004296137,0.00042440582,0.000032536056,0.00073622895,0.0014954793,0.00007864365],"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":[0.0007539016,0.00066093914,0.24763611,0.003489118,0.004530951,0.0001536338,0.0044209524,0.000063304215,0.00031551183,0.31494957,0.36089224,0.062133756],"study_design_scores_gemma":[0.0025266525,0.00025534883,0.1349501,0.0004285401,0.0016831717,0.00012824217,0.0010560141,0.00018780568,0.0011362128,0.28062686,0.5754482,0.0015728163],"about_ca_topic_score_codex":0.00004567375,"about_ca_topic_score_gemma":0.000098424236,"teacher_disagreement_score":0.21455598,"about_ca_system_score_codex":0.00010714799,"about_ca_system_score_gemma":0.00015413573,"threshold_uncertainty_score":0.9999714},"labels":[],"label_agreement":null},{"id":"W2951664906","doi":"10.1515/jgth-2019-0135","title":"Tits alternative for Artin groups of type FC","year":2020,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki; Narodowym Centrum Nauki; Instytut Matematyczny, Polskiej Akademii Nauk; University of Michigan; Simons Foundation","keywords":"Stabiliser; Cube (algebra); Mathematics; Vertex (graph theory); Simple (philosophy); Type (biology); Group (periodic table); Action (physics); Combinatorics; Pure mathematics; Physics; Graph; Biology","score_opus":0.08578176773835436,"score_gpt":0.3468206896036699,"score_spread":0.2610389218653155,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951664906","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6563912,0.0022688848,0.32988128,0.0015369137,0.005211662,0.00076829834,0.00014578254,0.000035623547,0.003760372],"genre_scores_gemma":[0.9785049,0.0001148408,0.019493721,0.00015337126,0.0011672328,0.000005313349,0.000006540469,0.000044992732,0.0005090801],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817044,0.00022618238,0.00092869997,0.00018098061,0.00029987097,0.00019384765],"domain_scores_gemma":[0.9953243,0.0018830586,0.002010951,0.00024347348,0.0004301335,0.00010804558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017067641,0.00021254619,0.00086951355,0.00031451552,0.000028902312,0.000014239693,0.0005535897,0.00023356239,0.00023797172],"category_scores_gemma":[0.0035972968,0.00016741245,0.00042604003,0.00018114834,0.000113452224,0.00004973252,0.0003015883,0.00069539953,0.000011899738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011689588,0.00029424994,0.000086434506,0.00082017883,0.0009092505,0.00004697688,0.0016668368,0.00003767986,0.0005892723,0.98100215,0.0089742085,0.0044038156],"study_design_scores_gemma":[0.0006771667,0.00086749415,0.0001236,0.00020618798,0.00026073877,0.000046784437,0.00039060347,0.00008459223,0.0007462954,0.9950491,0.0014016941,0.0001457514],"about_ca_topic_score_codex":0.000002166594,"about_ca_topic_score_gemma":0.000001599375,"teacher_disagreement_score":0.32211372,"about_ca_system_score_codex":0.000055115506,"about_ca_system_score_gemma":0.00012024337,"threshold_uncertainty_score":0.6826881},"labels":[],"label_agreement":null},{"id":"W2951721922","doi":"10.48550/arxiv.1201.5077","title":"The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Symplectomorphism; Mathematics; Pure mathematics; Symplectic geometry; Homotopy group; Quantum cohomology; Complex projective space; Projective plane; Homotopy; Symplectic manifold; Projective space; Real projective plane; Symplectic representation; Cohomology; Topology (electrical circuits); Algebra over a field; Geometry; Equivariant cohomology; Combinatorics; Projective test","score_opus":0.08530313464187657,"score_gpt":0.20834953167434261,"score_spread":0.12304639703246605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951721922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99311614,0.00025494263,0.002117349,0.00007506117,0.0005241707,0.0008133411,0.00012475399,0.000034245633,0.0029399905],"genre_scores_gemma":[0.9982887,0.00018367817,0.00018006905,0.000011312251,0.0000680835,0.0000023584494,0.000007132397,0.00002960147,0.0012290465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981472,0.00031001514,0.0005162489,0.00043508486,0.00019387329,0.0003976126],"domain_scores_gemma":[0.9954681,0.0014489577,0.0013553123,0.0013511088,0.00029936814,0.00007720226],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005932815,0.00032598613,0.0007537778,0.0002876975,0.00013876217,0.0000073123333,0.0014146495,0.0004117637,0.0001581837],"category_scores_gemma":[0.0004709588,0.00022658797,0.00044447367,0.00093035947,0.00085904443,0.000060025523,0.0012941309,0.0006339342,0.0000065901695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001522999,0.00049393094,0.019674338,0.00060401805,0.00078194856,0.000013235757,0.0013040147,0.00013345029,0.00025190486,0.9757452,0.0006108551,0.00023478387],"study_design_scores_gemma":[0.0015515982,0.00026336123,0.019649044,0.00036348423,0.0013022029,0.000023615112,0.0017491509,0.00081643974,0.010200101,0.9631496,0.0003573476,0.0005740557],"about_ca_topic_score_codex":0.0003182125,"about_ca_topic_score_gemma":0.00009295554,"teacher_disagreement_score":0.012595618,"about_ca_system_score_codex":0.00009342432,"about_ca_system_score_gemma":0.00024195902,"threshold_uncertainty_score":0.9239989},"labels":[],"label_agreement":null},{"id":"W2951842869","doi":"10.1090/proc/12520","title":"Some hyperbolic three-manifolds that bound geometrically","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; Geodesic; Dimension (graph theory); Manifold (fluid mechanics); Dodecahedron; Hyperbolic manifold; Boundary (topology); Constant (computer programming); Simple (philosophy); Pure mathematics; Bounded function; Mathematical analysis; Combinatorics; Geometry; Hyperbolic function; Computer science","score_opus":0.05595934931690484,"score_gpt":0.2927036134453619,"score_spread":0.23674426412845706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951842869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98888797,0.00018609884,0.0010344159,0.0025835154,0.0001165887,0.00041599423,0.0000060279917,0.00016427,0.006605138],"genre_scores_gemma":[0.9626456,0.000036604713,0.035358213,0.0007360303,0.0002599531,0.00003851599,3.999436e-7,0.000060660008,0.0008640125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973583,0.000015939813,0.00058297574,0.00038662142,0.0010210957,0.0006350375],"domain_scores_gemma":[0.9974773,0.0007084454,0.0008367364,0.00033988856,0.0003343052,0.00030335432],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011435061,0.0003257223,0.000922702,0.00011565003,0.00015388438,0.00006988502,0.001093728,0.00012647499,0.0000582722],"category_scores_gemma":[0.0029619974,0.00020892762,0.0006067677,0.0020079948,0.0012686409,0.00022022484,0.00061384606,0.00038221083,0.00006063342],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003873915,0.0007972125,0.017860683,0.0004978579,0.00037418527,8.809835e-7,0.0021632127,7.769466e-7,0.0010009711,0.9260194,0.04955371,0.0016924068],"study_design_scores_gemma":[0.00045746795,0.00020199135,0.0037197284,0.000046540135,0.0001389904,0.000042721585,0.0026862537,0.00029008387,0.0012589997,0.9901793,0.00069513306,0.00028276036],"about_ca_topic_score_codex":0.000035220375,"about_ca_topic_score_gemma":6.369208e-7,"teacher_disagreement_score":0.06415997,"about_ca_system_score_codex":0.000136882,"about_ca_system_score_gemma":0.00008586745,"threshold_uncertainty_score":0.8519821},"labels":[],"label_agreement":null},{"id":"W2951870507","doi":"10.48550/arxiv.1410.2579","title":"Counting cycles in labeled graphs: The nonpositive immersion property for one-relator groups","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Immersion (mathematics); Mathematics; Torsion (gastropod); Property (philosophy); Von Neumann architecture; Rank (graph theory); Pure mathematics; Combinatorics; Philosophy","score_opus":0.09449826009269967,"score_gpt":0.2212030735102255,"score_spread":0.12670481341752582,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951870507","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.959125,0.000068489244,0.03739819,0.00030202366,0.00035052962,0.0011924243,0.000027615231,0.00008650639,0.0014492405],"genre_scores_gemma":[0.9974245,0.000085723,0.0007750501,0.00012192876,0.00008849018,0.000009285502,0.000022982582,0.000041259944,0.0014307826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981037,0.00023151106,0.00033232482,0.00076265854,0.00010102363,0.00046878573],"domain_scores_gemma":[0.99747086,0.0012097579,0.00043351282,0.0006285157,0.00017703327,0.00008033313],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00082849397,0.00033966402,0.00056817086,0.00041909632,0.0002491481,0.000038024995,0.0007295137,0.00046770694,0.000047530895],"category_scores_gemma":[0.0003568056,0.0002457082,0.0002876179,0.0006069615,0.00023391398,0.00009745632,0.0006529046,0.00072365644,0.00003262473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032728433,0.00052152894,0.015818598,0.00075130933,0.00048514394,0.000055660297,0.0011297201,0.0027102511,0.00013229785,0.975791,0.001569092,0.0007081276],"study_design_scores_gemma":[0.002859411,0.00020150721,0.0044840914,0.0005517833,0.0006447183,0.000006189608,0.0023815713,0.04384225,0.00031408266,0.94328487,0.0005105567,0.0009189427],"about_ca_topic_score_codex":0.00030262847,"about_ca_topic_score_gemma":0.00014162037,"teacher_disagreement_score":0.041131996,"about_ca_system_score_codex":0.00018072671,"about_ca_system_score_gemma":0.000095680836,"threshold_uncertainty_score":0.9999995},"labels":[],"label_agreement":null},{"id":"W2951965714","doi":"10.48550/arxiv.0905.4888","title":"Semigroup Actions, Covering Spaces and Schutzenberger Groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Automorphism; Semigroup; Nilpotent; Mathematical proof; Action (physics); Pure mathematics; Simple (philosophy); Group (periodic table); Transitive relation; Polynomial; Discrete mathematics; Combinatorics; Algebra over a field; Mathematical analysis","score_opus":0.09315733235942902,"score_gpt":0.3241018597632483,"score_spread":0.23094452740381927,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951965714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9898324,0.0013061735,0.0017528995,0.0011348196,0.0007616713,0.00027174104,0.000011969956,0.00022851341,0.004699831],"genre_scores_gemma":[0.99188435,0.0008051042,0.0032632158,0.00024582137,0.0004576094,0.000027244916,0.000017449976,0.000045323046,0.0032538793],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9982986,0.00008013962,0.00040367097,0.0005901516,0.00021246173,0.00041500072],"domain_scores_gemma":[0.99849313,0.00037756359,0.0003048262,0.0006287266,0.00005842958,0.00013732137],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035422042,0.00037184992,0.00058797374,0.00030092982,0.00016018689,0.000075356664,0.00027520963,0.0004950066,0.00027185195],"category_scores_gemma":[0.00056935713,0.00034993433,0.00014703764,0.00024756396,0.000112352805,0.0001081846,0.00057276036,0.0008680421,0.00011827382],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006299054,0.0005965181,0.83338416,0.0014382661,0.00080674514,0.0001546468,0.0019840153,0.00006423025,0.0011076675,0.116287895,0.032784626,0.011328247],"study_design_scores_gemma":[0.0010393325,0.00017486353,0.6097518,0.0005203516,0.00047410012,0.00015488264,0.0010815405,0.00011509623,0.0012601385,0.34924024,0.034636784,0.0015508367],"about_ca_topic_score_codex":0.00009605956,"about_ca_topic_score_gemma":0.00004279536,"teacher_disagreement_score":0.23295234,"about_ca_system_score_codex":0.00007263129,"about_ca_system_score_gemma":0.000057040044,"threshold_uncertainty_score":0.9998953},"labels":[],"label_agreement":null},{"id":"W2952035935","doi":"10.48550/arxiv.math/0510260","title":"A relative Seidel morphism and the Albers map","year":2005,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; University of Waterloo","funders":"","keywords":"Mathematics; Floer homology; Homomorphism; Submanifold; Morphism; Pure mathematics; Symplectic geometry; Homotopy; Homology (biology); Class (philosophy); Computer science; Artificial intelligence","score_opus":0.09192365025573948,"score_gpt":0.2064945117964542,"score_spread":0.11457086154071472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952035935","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84644514,0.00095970766,0.10363642,0.0057980367,0.0008747071,0.0013739143,0.000046449873,0.00029353774,0.0405721],"genre_scores_gemma":[0.9620774,0.00028041602,0.0013645414,0.00020993207,0.00012554148,0.0000016092113,0.0000059323324,0.000026223672,0.03590844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854344,0.0002236679,0.00022356324,0.00062855805,0.00007402548,0.00030671526],"domain_scores_gemma":[0.9975951,0.0012200325,0.00031677185,0.0006767603,0.00007923371,0.00011215675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042427127,0.00030335924,0.0004896568,0.00025280382,0.0001757048,0.000027707136,0.00050147314,0.00038615655,0.00023899374],"category_scores_gemma":[0.00031494198,0.00024500058,0.00021885727,0.00032861772,0.0007074864,0.00010249151,0.0010204149,0.00084476743,0.00010633099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000077811375,0.000043735894,0.0003950176,0.000058705053,0.00026844093,0.00008074343,0.0009030269,0.0013811714,3.9805468e-7,0.9940379,0.0025565426,0.0001965006],"study_design_scores_gemma":[0.0017022772,0.000021142225,0.00027652955,0.00004795109,0.00040421527,0.000013942901,0.0005640223,0.013776971,0.0000037783059,0.9801132,0.0027674655,0.00030847118],"about_ca_topic_score_codex":0.00024112476,"about_ca_topic_score_gemma":0.00006391889,"teacher_disagreement_score":0.11563224,"about_ca_system_score_codex":0.00011507516,"about_ca_system_score_gemma":0.00008695917,"threshold_uncertainty_score":0.99908334},"labels":[],"label_agreement":null},{"id":"W2952064580","doi":"10.48550/arxiv.math/0504489","title":"Hartogs type theorems on coverings of Stein manifolds","year":2005,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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 Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Type (biology); Mathematics; Mathematical economics; Economics; Pure mathematics; Geology; Paleontology","score_opus":0.09330215534232171,"score_gpt":0.3246953866628822,"score_spread":0.2313932313205605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952064580","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97239983,0.00027948155,0.00027184284,0.00034766254,0.0008616474,0.0002925519,0.00002355732,0.000108081695,0.025415359],"genre_scores_gemma":[0.98921233,0.00014796937,0.00092380075,0.00022409865,0.0003585971,0.0000135192895,0.000018789873,0.00005914712,0.00904173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983238,0.00007180741,0.0005221852,0.00045845108,0.0002848367,0.00033893503],"domain_scores_gemma":[0.9980485,0.00041118305,0.0004328741,0.00090389705,0.00012034045,0.00008321258],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00037380366,0.00033107318,0.0006457541,0.00026849628,0.0000424334,0.000013533926,0.0005208476,0.0004642766,0.002104513],"category_scores_gemma":[0.0006021307,0.00029338305,0.00019678599,0.00025051154,0.00012755491,0.000032537846,0.00053490995,0.00060503307,0.000564575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004543591,0.0021842446,0.22652577,0.003217704,0.0013824295,0.0001473379,0.003174241,0.00031124937,0.0024057496,0.69562674,0.056084655,0.008485556],"study_design_scores_gemma":[0.0029686864,0.0015823441,0.16466583,0.0013254909,0.00069825375,0.000057747347,0.00066432724,0.00014759254,0.03033167,0.72221065,0.07287041,0.00247702],"about_ca_topic_score_codex":0.00006819621,"about_ca_topic_score_gemma":0.0000101024525,"teacher_disagreement_score":0.061859936,"about_ca_system_score_codex":0.00006844443,"about_ca_system_score_gemma":0.00009042114,"threshold_uncertainty_score":0.99995184},"labels":[],"label_agreement":null},{"id":"W2952477506","doi":"10.1142/s0218216504003056","title":"ENUMERATING THE PRIME ALTERNATING KNOTS, PART II","year":2004,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Knot (papermaking); Prime (order theory); Combinatorics; Crossing number (knot theory); Knot theory; Tricolorability; Discrete mathematics; Knot invariant","score_opus":0.039141304325752566,"score_gpt":0.31192692489598334,"score_spread":0.27278562057023076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952477506","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9764822,0.0021828534,0.014883911,0.0044975416,0.00031631804,0.00013028717,0.0000039461056,0.000018415363,0.0014844997],"genre_scores_gemma":[0.99635446,0.00017151443,0.0018953459,0.00017557095,0.00035556697,0.0000034456732,6.0650905e-7,0.000010194324,0.0010332686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989543,0.00018332289,0.00047341143,0.00008947879,0.00015057888,0.00014893555],"domain_scores_gemma":[0.9980483,0.0010843994,0.00048328572,0.00015938611,0.00015819432,0.000066443085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017954921,0.00009214902,0.00017621755,0.00010900963,0.00054310507,0.000035443707,0.00022255688,0.000049087525,0.00010064423],"category_scores_gemma":[0.0027750842,0.000057698053,0.00007551487,0.00022249279,0.000082705876,0.00014154353,0.000049860002,0.00028812376,0.000009172798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010164291,0.000097885066,0.000019776902,0.000008957539,0.0000549382,0.0000026098107,0.002031866,0.000040572733,0.0009270583,0.99050534,0.00014871007,0.0061521274],"study_design_scores_gemma":[0.0006124741,0.00015758988,0.00056427513,0.00008670698,0.00011093869,0.00035986857,0.0017411903,0.000051564555,0.0036994738,0.98420227,0.00829471,0.000118928176],"about_ca_topic_score_codex":0.0000010600411,"about_ca_topic_score_gemma":9.627609e-7,"teacher_disagreement_score":0.01987226,"about_ca_system_score_codex":0.000023344171,"about_ca_system_score_gemma":0.000077717435,"threshold_uncertainty_score":0.41771802},"labels":[],"label_agreement":null},{"id":"W2952622740","doi":"10.48550/arxiv.1308.1721","title":"Balloons and Hoops and their Universal Finite Type Invariant, BF Theory, and an Ultimate Alexander Invariant","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Categorification; Covering space; Mathematics; Invariant (physics); Homotopy; Pure mathematics; Alexander polynomial; Configuration space; Mathematical physics; Combinatorics; Physics; Quantum mechanics; Knot theory","score_opus":0.08744165062246469,"score_gpt":0.21959618846401074,"score_spread":0.13215453784154607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952622740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9705006,0.00027765977,0.024545083,0.000154362,0.00019477184,0.00046875008,0.00006839989,0.0001347809,0.0036556148],"genre_scores_gemma":[0.99436164,0.0011174041,0.0009443372,0.000118412056,0.00006112649,8.5560305e-7,0.00002793334,0.00004244852,0.0033258186],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979693,0.00041087437,0.00022146587,0.00093642686,0.000055733184,0.0004061961],"domain_scores_gemma":[0.99752563,0.0011200721,0.00024957448,0.00064316863,0.00012958719,0.00033197494],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005617963,0.00046221187,0.0005947077,0.00042797637,0.00022879687,0.00011343383,0.00037550778,0.000511988,0.00045609538],"category_scores_gemma":[0.00034528773,0.00042344292,0.00006501451,0.00035669692,0.0006553252,0.00027821132,0.0012990148,0.0005955234,0.000019787327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014564248,0.00011967022,0.0033497037,0.00019805274,0.00033314864,0.000166843,0.0014497644,0.0002172663,0.000059312744,0.99317074,0.00040997396,0.00037989303],"study_design_scores_gemma":[0.0015497593,0.00022847056,0.0050552534,0.00010623296,0.00039091476,0.000061673476,0.0029727633,0.02410373,0.000034419998,0.9643679,0.00035967107,0.0007692055],"about_ca_topic_score_codex":0.00032176345,"about_ca_topic_score_gemma":0.00011260858,"teacher_disagreement_score":0.028802825,"about_ca_system_score_codex":0.000050718852,"about_ca_system_score_gemma":0.00012389624,"threshold_uncertainty_score":0.9998217},"labels":[],"label_agreement":null},{"id":"W2952626970","doi":"10.48550/arxiv.0710.5265","title":"Goldman flows on a nonorientable surface","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Moduli space; Mathematics; Flow (mathematics); Surface (topology); Cylinder; Covering space; Submanifold; Cover (algebra); Space (punctuation); Pure mathematics; Mathematical analysis; Inverse; Geometry; Computer science","score_opus":0.11282710600477446,"score_gpt":0.34314297554023093,"score_spread":0.23031586953545646,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952626970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9665346,0.00022798033,0.0015786809,0.00039920217,0.0020066733,0.00045941622,0.0000262545,0.000241828,0.028525332],"genre_scores_gemma":[0.9765574,0.000059010985,0.0048251883,0.0004151379,0.0004996014,0.000019975056,0.000039364422,0.000080717466,0.017503634],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975364,0.00008211515,0.00057291304,0.00076323183,0.00035665208,0.00068863994],"domain_scores_gemma":[0.9975251,0.00064820354,0.00032125352,0.0012140283,0.000105694984,0.00018570771],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00069873256,0.00045647554,0.000699511,0.00028702526,0.00011845545,0.00003324807,0.00059948774,0.0006412711,0.0010012236],"category_scores_gemma":[0.0005726355,0.00042439412,0.00024914427,0.0004234505,0.000085715146,0.00004249609,0.00073277083,0.0011433542,0.0016276074],"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":[0.0002551167,0.0027159427,0.7802991,0.0017221351,0.0010778415,0.0005304613,0.0029981344,0.0012863417,0.00057173945,0.1129048,0.09148986,0.0041485266],"study_design_scores_gemma":[0.005705419,0.0014140005,0.21626303,0.0014150143,0.0010801415,0.00013184932,0.0019808915,0.0010737628,0.015990183,0.5164525,0.23237713,0.0061160894],"about_ca_topic_score_codex":0.00023777688,"about_ca_topic_score_gemma":0.000078086414,"teacher_disagreement_score":0.5640361,"about_ca_system_score_codex":0.00016851285,"about_ca_system_score_gemma":0.000121117504,"threshold_uncertainty_score":0.999912},"labels":[],"label_agreement":null},{"id":"W2952654670","doi":"10.4153/cmb-2013-026-4","title":"A Short Note on Short Pants","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"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; Upper and lower bounds; Bounded function; Constant (computer programming); Genus; Decomposition; Surface (topology); Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.03652243699655393,"score_gpt":0.2807761172680118,"score_spread":0.24425368027145788,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952654670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70973146,0.0000354519,0.0036124245,0.01833813,0.00026428263,0.0012278425,0.000029511575,0.00022318475,0.26653773],"genre_scores_gemma":[0.98261446,0.0000022362578,0.0050994754,0.0020408838,0.00013900621,0.00012219367,0.0000055855917,0.000056376528,0.00991979],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997901,0.000065470056,0.0004659506,0.0003781612,0.00031717072,0.0008722119],"domain_scores_gemma":[0.99739313,0.00089748466,0.000033526467,0.00059541164,0.000086834756,0.0009935981],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00034945706,0.00028531728,0.00046562823,0.00034424762,0.00014314057,0.00007059387,0.00038529406,0.0002483169,0.060269736],"category_scores_gemma":[0.0019095426,0.0002382807,0.00013536905,0.00028511806,0.00015453427,0.00002936856,0.000048149574,0.00034293236,0.06067516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005296849,0.00020598683,0.00033977893,0.00014153412,0.00006363944,0.00014238508,0.0002769954,9.2420623e-7,0.000045746812,0.5677757,0.41228354,0.018718405],"study_design_scores_gemma":[0.0002873255,0.00017695669,0.0025112873,0.00013977177,0.0000657479,0.00013516119,0.00028403898,0.00023413492,0.00028741194,0.895187,0.09995983,0.0007312857],"about_ca_topic_score_codex":0.00081439404,"about_ca_topic_score_gemma":0.00046868715,"teacher_disagreement_score":0.3274113,"about_ca_system_score_codex":0.00017399271,"about_ca_system_score_gemma":0.00011523147,"threshold_uncertainty_score":0.97168046},"labels":[],"label_agreement":null},{"id":"W2952729930","doi":"10.48550/arxiv.1010.0754","title":"Pentagon and hexagon equations following Furusho","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Pentagon; Braid; Mathematics; Algebraic number; Pure mathematics; Algebraic geometry; Algebra over a field; Geometry; Mathematical analysis; Materials science","score_opus":0.12867279146844518,"score_gpt":0.23501802239712544,"score_spread":0.10634523092868026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952729930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.934361,0.00007009404,0.059491787,0.00014925281,0.00086118793,0.000281918,0.000016543992,0.00014181106,0.004626407],"genre_scores_gemma":[0.9935776,0.000062178835,0.0016288472,0.000046836634,0.00010803026,0.0000011046551,0.000022618135,0.000028859457,0.004523906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866027,0.00008409258,0.00020490498,0.00066313817,0.000073763345,0.00031384645],"domain_scores_gemma":[0.9983333,0.00060989877,0.00021243765,0.0006289796,0.000058392274,0.00015703344],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028759454,0.00027457843,0.00040088734,0.00039483813,0.00019161023,0.000044488163,0.0003964666,0.00050674507,0.00024998392],"category_scores_gemma":[0.00043793657,0.00031033426,0.00022640228,0.0003587589,0.0001264269,0.0001033588,0.0008407426,0.0008689231,0.000057628156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018839117,0.00015754896,0.0048122043,0.00015173516,0.00024530364,0.00023216246,0.00040852194,0.0004665282,0.000097639444,0.99195766,0.000544913,0.00090691616],"study_design_scores_gemma":[0.0007978867,0.00005121162,0.0011645972,0.000067834175,0.00052076374,0.000008608138,0.00061303837,0.010812882,0.00011679622,0.9843527,0.0009196123,0.00057407905],"about_ca_topic_score_codex":0.00015558569,"about_ca_topic_score_gemma":0.0001519862,"teacher_disagreement_score":0.05921662,"about_ca_system_score_codex":0.00007124857,"about_ca_system_score_gemma":0.00009938604,"threshold_uncertainty_score":0.99993485},"labels":[],"label_agreement":null},{"id":"W2952742305","doi":"10.48550/arxiv.0705.4081","title":"Examples of Free Actions on Products of Spheres","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Abelian group; Action (physics); Mathematics; Extension (predicate logic); Construct (python library); Order (exchange); Group (periodic table); Pure mathematics; SPHERES; Combinatorics; Physics; Computer science; Business; Quantum mechanics","score_opus":0.2520864925932899,"score_gpt":0.24910673777211284,"score_spread":0.002979754821177072,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952742305","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9718912,0.000051343613,0.012305218,0.000042133353,0.00032884945,0.00026325937,0.000060252565,0.00005724658,0.015000471],"genre_scores_gemma":[0.9936322,0.00006766594,0.0026530034,0.0000092322125,0.00006869969,2.8533674e-7,0.0000075388944,0.000018898423,0.0035424624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887246,0.00007116774,0.0002804536,0.00046402373,0.0000947356,0.00021715288],"domain_scores_gemma":[0.9974565,0.00060805056,0.00050572015,0.0011410211,0.00022780377,0.000060918952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021517764,0.00020372558,0.0004683262,0.00048453323,0.000041159798,0.0000037016137,0.00062552455,0.00029316568,0.00037226043],"category_scores_gemma":[0.0008969296,0.0002153681,0.00016347982,0.00069847796,0.00024734827,0.000037269114,0.00055128144,0.00037759313,0.00001382556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010169108,0.00056827074,0.003859718,0.0007661535,0.00028012323,0.00004434457,0.00020403996,0.0029953055,0.0002242921,0.98648363,0.004022571,0.00044984257],"study_design_scores_gemma":[0.00084671355,0.00024801533,0.004799301,0.0002411251,0.00037217353,0.000004260918,0.0014218071,0.00023100527,0.012961008,0.9772299,0.0012275713,0.0004171255],"about_ca_topic_score_codex":0.00032827392,"about_ca_topic_score_gemma":0.00016593013,"teacher_disagreement_score":0.021740988,"about_ca_system_score_codex":0.00006130898,"about_ca_system_score_gemma":0.00012861325,"threshold_uncertainty_score":0.8782456},"labels":[],"label_agreement":null},{"id":"W2953053943","doi":"10.48550/arxiv.1103.1896","title":"Homomorphic expansions for knotted trivalent graphs","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Homomorphic encryption; Diagrammatic reasoning; Invariant (physics); Algebraic number; Mathematics; Knot (papermaking); Combinatorics; Pure mathematics; Discrete mathematics; Computer science; Engineering; Mathematical physics; Mathematical analysis","score_opus":0.22722541613704175,"score_gpt":0.23483499436441188,"score_spread":0.0076095782273701285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953053943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85082346,0.00014233575,0.14224519,0.00012428824,0.0011675102,0.0012696,0.0001354885,0.00054825936,0.003543891],"genre_scores_gemma":[0.99072295,0.00021333675,0.0025293364,0.00006159697,0.00008370037,0.000009263915,0.000033663004,0.000071868395,0.006274265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803704,0.00012276843,0.0003325203,0.0009219144,0.0000750563,0.0005107107],"domain_scores_gemma":[0.9974355,0.00064421084,0.00038912235,0.0010921512,0.00022249456,0.00021653522],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029490716,0.00040808436,0.0006625049,0.00073311065,0.00020077956,0.000018928578,0.00083157833,0.0005929774,0.00048220812],"category_scores_gemma":[0.00037901473,0.00043846964,0.00057418866,0.0006795105,0.00022913152,0.00006648741,0.00069454726,0.0005734837,0.000106083025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009227726,0.00036973174,0.00074660766,0.00027611098,0.0002989592,0.00010265674,0.00026293364,0.00025335915,0.00001549286,0.9912625,0.0060781552,0.00024120466],"study_design_scores_gemma":[0.0011671587,0.0001237083,0.00046464248,0.00007960607,0.000543947,0.000007330501,0.00027129572,0.001631374,0.000109758956,0.9939498,0.0011478662,0.0005035398],"about_ca_topic_score_codex":0.00010376681,"about_ca_topic_score_gemma":0.00004412028,"teacher_disagreement_score":0.13989954,"about_ca_system_score_codex":0.000101813974,"about_ca_system_score_gemma":0.00016983633,"threshold_uncertainty_score":0.9998067},"labels":[],"label_agreement":null},{"id":"W2953155627","doi":"10.48550/arxiv.0906.4997","title":"Exotic left orderings of the free groups from the Dehornoy ordering","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Combinatorics; Mathematics","score_opus":0.0830532238573459,"score_gpt":0.27379857167945576,"score_spread":0.19074534782210986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953155627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907238,0.00079948123,0.0022994226,0.0030537045,0.0010107636,0.00048657192,0.000034397523,0.000109303495,0.0014825396],"genre_scores_gemma":[0.99622446,0.000108097505,0.0021574313,0.00045379027,0.00037842352,0.000015655167,0.000009019222,0.000055498378,0.00059760927],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9978151,0.00017929602,0.0006647309,0.000527628,0.0003786908,0.00043457482],"domain_scores_gemma":[0.9956998,0.0011732602,0.0005814102,0.0023728465,0.00010841296,0.000064271466],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00047630677,0.0004080417,0.00066734524,0.00009537173,0.00018426227,0.000034559725,0.0022508986,0.00041203364,0.00043241621],"category_scores_gemma":[0.0024578015,0.00024592114,0.0003416794,0.00032657268,0.00026234068,0.00004278502,0.0023437047,0.0011303802,0.00005059267],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053684143,0.00063470344,0.9276691,0.0007362409,0.0010968006,0.000054601936,0.007389038,0.00036777477,0.0011630015,0.039484847,0.01579535,0.0055548525],"study_design_scores_gemma":[0.00046778537,0.000041554627,0.49806762,0.00030851885,0.00027661253,0.000021100434,0.00054395804,0.00006058022,0.0008458022,0.4972921,0.0016799693,0.00039441482],"about_ca_topic_score_codex":0.0005764716,"about_ca_topic_score_gemma":0.00042953505,"teacher_disagreement_score":0.45780724,"about_ca_system_score_codex":0.000056545217,"about_ca_system_score_gemma":0.00012233308,"threshold_uncertainty_score":0.9999993},"labels":[],"label_agreement":null},{"id":"W2953271046","doi":"10.48550/arxiv.1311.0779","title":"Converting homotopies to isotopies and dividing homotopies in half in an effective way","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Bounded function; Mathematics; Homotopy; Intersection (aeronautics); Space (punctuation); Pure mathematics; Transversal (combinatorics); Riemannian manifold; Manifold (fluid mechanics); Simple (philosophy); Mathematical analysis; Computer science","score_opus":0.08483193650455086,"score_gpt":0.22918748599330177,"score_spread":0.1443555494887509,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953271046","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9946909,0.00011736054,0.0029304973,0.00014280727,0.00023014532,0.0011333497,0.000007546189,0.00009461169,0.0006527876],"genre_scores_gemma":[0.9981409,0.00008601117,0.0008186599,0.000052572595,0.00005657083,0.000018459721,0.00000526903,0.000030446241,0.00079114904],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791265,0.00026983075,0.00033812388,0.0009014277,0.00007485251,0.00050309097],"domain_scores_gemma":[0.9981759,0.00085707346,0.00019458348,0.0005268817,0.00008572001,0.00015981113],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042709036,0.00038607215,0.0007320124,0.0011484537,0.00010119643,0.00007385896,0.00046719456,0.0003894044,0.00007646302],"category_scores_gemma":[0.0005769259,0.00042098406,0.000091576716,0.00070836354,0.00018822684,0.00027235717,0.0012176672,0.0006701402,0.000028220593],"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":[0.000079688434,0.0003763665,0.5351265,0.0009739552,0.00013346317,0.00050116994,0.011912607,0.0024113401,0.0001290799,0.44077772,0.00007709752,0.007500985],"study_design_scores_gemma":[0.0016455074,0.00028887077,0.242267,0.000718504,0.00009653533,0.000010566354,0.00630721,0.010695206,0.00040571787,0.7363101,0.00014807738,0.0011067062],"about_ca_topic_score_codex":0.0016699798,"about_ca_topic_score_gemma":0.0017373221,"teacher_disagreement_score":0.29553238,"about_ca_system_score_codex":0.00021234014,"about_ca_system_score_gemma":0.00003220758,"threshold_uncertainty_score":0.9998242},"labels":[],"label_agreement":null},{"id":"W2953434422","doi":"10.46298/dmtcs.6330","title":"Asymptotics of polygons in restricted geometries subject to a force","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Geometric and Algebraic Topology","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":"Conjecture; Mathematics; Combinatorics; Vertex (graph theory); Geometry; Asymptote; Hamiltonian (control theory); Graph","score_opus":0.025967794231911874,"score_gpt":0.2893095730497538,"score_spread":0.26334177881784193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2953434422","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41076773,0.000015500405,0.58459127,0.0018607859,0.00009168856,0.00036949158,0.00001223776,0.000075182725,0.0022161214],"genre_scores_gemma":[0.7931893,0.0000027077426,0.20638159,0.0003341039,0.0000497084,0.000007669109,0.0000010386742,0.000020766654,0.000013145781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969551,0.00007447684,0.0008457645,0.0005614728,0.0008525796,0.00071062206],"domain_scores_gemma":[0.9966558,0.0018864691,0.00020246183,0.0006046882,0.00020192162,0.00044865065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010170667,0.00027508315,0.00068167987,0.00075401476,0.00012399557,0.00008975426,0.0013450295,0.000099459554,0.00012416636],"category_scores_gemma":[0.005821405,0.00022226147,0.000121291814,0.006315662,0.0018019923,0.00014424512,0.0008591563,0.00027087142,0.00003691885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002136292,0.00011852015,0.0002243099,0.00012577676,0.00001084712,0.000010777928,0.0036847522,0.00004663605,0.00087693933,0.99428767,0.00008336049,0.0005090398],"study_design_scores_gemma":[0.00053687766,0.000767383,0.0007924292,0.0001316199,0.000037232567,0.000020765921,0.0006413871,0.06695586,0.006361669,0.92333204,0.00002408415,0.00039867684],"about_ca_topic_score_codex":0.0000046490773,"about_ca_topic_score_gemma":0.0000017623515,"teacher_disagreement_score":0.38242152,"about_ca_system_score_codex":0.000042630312,"about_ca_system_score_gemma":0.00014143996,"threshold_uncertainty_score":0.906356},"labels":[],"label_agreement":null},{"id":"W2955232156","doi":"10.46298/dmtcs.6329","title":"Asymptotic laws for knot diagrams","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Geometric and Algebraic Topology","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":"University of Georgia; University of Saskatchewan; National Science Foundation","keywords":"Knot (papermaking); Mathematics; Combinatorics; Conjecture; Knot invariant; Knot theory","score_opus":0.035397707436227006,"score_gpt":0.2984304149216633,"score_spread":0.2630327074854363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955232156","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.029528826,0.000020192092,0.9611932,0.0040333346,0.00027027854,0.0006246519,0.000014063816,0.00022288553,0.004092584],"genre_scores_gemma":[0.6596817,0.0000016800396,0.3393608,0.0006532114,0.00022271373,0.000028013677,0.0000023104017,0.000027617061,0.00002199738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972287,0.000055959797,0.0005805692,0.0006777245,0.00066043,0.0007966614],"domain_scores_gemma":[0.9965289,0.002018357,0.00017496356,0.0005777337,0.00019657124,0.0005034723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011823697,0.0003080917,0.00055341155,0.00013587203,0.00036286796,0.00022281229,0.0013409018,0.00010017963,0.0002503328],"category_scores_gemma":[0.002574129,0.00023145661,0.00021156501,0.0011072946,0.0024686577,0.00017199825,0.0005636639,0.00021618047,0.0001148875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009163614,0.000095130876,0.000019636938,0.00016620393,0.000016567405,0.000004205063,0.0013461555,0.000005781988,0.00016019143,0.99569017,0.00050274853,0.0019840377],"study_design_scores_gemma":[0.00035353066,0.00033266665,0.000018587105,0.00003270583,0.000045479774,0.000015155641,0.0001277873,0.2114423,0.000762727,0.78636754,0.00023153427,0.0002699853],"about_ca_topic_score_codex":4.449448e-7,"about_ca_topic_score_gemma":2.3424427e-7,"teacher_disagreement_score":0.6301528,"about_ca_system_score_codex":0.000030081896,"about_ca_system_score_gemma":0.00008317427,"threshold_uncertainty_score":0.94385266},"labels":[],"label_agreement":null},{"id":"W2955457212","doi":"10.4171/ggd/531","title":"On the subexponential growth of groups acting on rooted trees","year":2019,"lang":"en","type":"preprint","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Tree (set theory); Combinatorics; Biology","score_opus":0.024044700957714875,"score_gpt":0.2616847294404241,"score_spread":0.2376400284827092,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955457212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.976487,0.000121929894,0.017380053,0.0006692948,0.0012725884,0.00058993325,0.00018760558,0.000092032875,0.003199553],"genre_scores_gemma":[0.9982132,0.00009653067,0.000514058,0.00016815182,0.00022400709,0.000023727118,0.00012496792,0.00006717692,0.00056821713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99728584,0.00023048984,0.0007034345,0.000713999,0.00055251963,0.00051371305],"domain_scores_gemma":[0.99378544,0.0042342357,0.00077864254,0.0009760004,0.000121935744,0.000103729944],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009720156,0.00055368367,0.00094493653,0.00085923716,0.00019039084,0.000072598436,0.00066829496,0.00074208836,0.0001710629],"category_scores_gemma":[0.0020605503,0.00040123414,0.00032485375,0.000747153,0.00024270294,0.000056521247,0.0008320059,0.0014971778,0.00003326347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017906923,0.00046781157,0.004490428,0.00078805955,0.00037853682,0.000014801547,0.00048977695,0.00028516652,0.000029243987,0.98823816,0.0006252765,0.004013672],"study_design_scores_gemma":[0.0013411901,0.00077868596,0.015891686,0.00056067534,0.0003654766,0.0000304487,0.0015185215,0.019333012,0.00022018835,0.95893514,0.00004253869,0.000982451],"about_ca_topic_score_codex":0.000105389554,"about_ca_topic_score_gemma":0.00005861505,"teacher_disagreement_score":0.029303031,"about_ca_system_score_codex":0.00011228533,"about_ca_system_score_gemma":0.000056824956,"threshold_uncertainty_score":0.99984396},"labels":[],"label_agreement":null},{"id":"W2956549117","doi":"10.1215/00127094-2021-0069","title":"Torsion groups do not act on 2-dimensional CAT(0) complexes","year":2022,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Torsion (gastropod); Mathematical proof; Geodesic; Fixed point; Graph; Pure mathematics; Finitely-generated abelian group; Combinatorics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.0481824249771527,"score_gpt":0.30609128578033623,"score_spread":0.25790886080318354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2956549117","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98580545,0.000042919197,0.0025299736,0.0027102863,0.0006642632,0.00022470934,0.000022557319,0.000092502494,0.007907307],"genre_scores_gemma":[0.98361194,0.0000037390705,0.013584368,0.00096352975,0.0003592118,0.000020550578,0.000005653891,0.0000461164,0.0014048615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99704784,0.00025285032,0.0007034623,0.00028300655,0.0011879156,0.00052494113],"domain_scores_gemma":[0.99757653,0.0013880356,0.00031546666,0.00035579456,0.00007681605,0.00028737084],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013685812,0.00026162542,0.0005265187,0.00036497737,0.00083674846,0.000083199484,0.0004939968,0.00008483017,0.016498579],"category_scores_gemma":[0.00078968966,0.00020131255,0.0002763496,0.00037724912,0.000116951414,0.00008044907,0.00036999394,0.000828763,0.00037831636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013200525,0.0010876214,0.00010407134,0.000055953402,0.000088987574,0.00023009056,0.0006364566,0.00004936054,0.00080773985,0.9552138,0.040316183,0.0012777183],"study_design_scores_gemma":[0.0012259637,0.00070671074,0.00044540165,0.000055919936,0.00007278412,0.0039843433,0.0008034917,0.0008334385,0.0005730029,0.9847399,0.0062078875,0.00035114025],"about_ca_topic_score_codex":0.0000014377035,"about_ca_topic_score_gemma":3.1937844e-7,"teacher_disagreement_score":0.034108296,"about_ca_system_score_codex":0.0002175943,"about_ca_system_score_gemma":0.00008720553,"threshold_uncertainty_score":0.98440045},"labels":[],"label_agreement":null},{"id":"W2960812094","doi":"10.4310/mrl.2022.v29.n6.a7","title":"Representations of surface groups with universally finite mapping class group orbit","year":2022,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","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; Conjecture; Combinatorics; Sigma; Isomorphism (crystallography); Orbit (dynamics); Genus; Mapping class group; Surface (topology); Class (philosophy); Finite group; Group (periodic table); Image (mathematics); Pure mathematics; Geometry; Crystallography; Physics","score_opus":0.10072849158416858,"score_gpt":0.3537238508295041,"score_spread":0.2529953592453355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2960812094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8946005,0.000022973785,0.086919755,0.009813454,0.000044865974,0.0006171112,0.000023724078,0.00008239062,0.007875215],"genre_scores_gemma":[0.9739168,0.0000034337795,0.024107443,0.00020846096,0.000032096144,0.00006310452,0.000011303956,0.000043043307,0.0016142976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961885,0.00070622,0.00045811431,0.00039020253,0.0015858925,0.0006710443],"domain_scores_gemma":[0.99147594,0.0074280966,0.00014904988,0.0006439366,0.00014584897,0.00015711455],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002592221,0.00016242488,0.00039993363,0.0005469509,0.0004167044,0.000034800014,0.0006304692,0.00005025587,0.0021811025],"category_scores_gemma":[0.0021091118,0.00013891667,0.00010441749,0.0020987755,0.0005807436,0.00010719051,0.00060283346,0.0008266213,0.000059704707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012620524,0.0007235448,0.0013681522,0.00053350796,0.00020939775,0.00026425152,0.0042609763,0.00076189236,0.0062544774,0.9663111,0.018962074,0.00022442218],"study_design_scores_gemma":[0.003358602,0.0013786788,0.0021867258,0.00023194945,0.00010937281,0.00020502252,0.041135523,0.007847686,0.00091223954,0.93401444,0.007784716,0.0008350154],"about_ca_topic_score_codex":0.000051358267,"about_ca_topic_score_gemma":0.000012139975,"teacher_disagreement_score":0.0793163,"about_ca_system_score_codex":0.00016705027,"about_ca_system_score_gemma":0.00008270309,"threshold_uncertainty_score":0.998731},"labels":[],"label_agreement":null},{"id":"W2961561497","doi":"10.1112/jlms.12417","title":"Higher genus relative Gromov–Witten theory and double ramification cycles","year":2020,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Ramification; Moduli space; Genus; Space (punctuation); Class (philosophy); Moduli","score_opus":0.04911251116376647,"score_gpt":0.29579532702449,"score_spread":0.24668281586072355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2961561497","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88830316,0.00090250134,0.07042887,0.03634681,0.0002795278,0.00042028172,0.000004779911,0.000054068212,0.0032600274],"genre_scores_gemma":[0.97156626,0.00007577756,0.025050163,0.0012668454,0.00034500146,0.000004095019,3.2207316e-7,0.0000308139,0.0016607429],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985098,0.0001996927,0.00057409063,0.00014004651,0.000375074,0.00020125025],"domain_scores_gemma":[0.99747807,0.0014784945,0.00058121275,0.00019934277,0.00011110825,0.00015179499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001236495,0.00015590624,0.00041817516,0.000022754857,0.0001410247,0.000038109032,0.000348298,0.00015036465,0.00030585966],"category_scores_gemma":[0.0009363356,0.00008757841,0.00038644552,0.0002989333,0.0002539018,0.00015432607,0.00015070141,0.0004944531,0.000024601719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100239624,0.00013564249,0.00027110372,0.00018364654,0.00028628286,0.0000042378806,0.0047972826,0.0000027581734,0.0006397627,0.9838993,0.008913162,0.0007665789],"study_design_scores_gemma":[0.0011164953,0.0000925565,0.0013784454,0.00005340785,0.00023145508,0.00008443978,0.00085004605,0.00015187188,0.00063539797,0.99376225,0.0015259326,0.00011772562],"about_ca_topic_score_codex":5.7179807e-7,"about_ca_topic_score_gemma":7.019931e-8,"teacher_disagreement_score":0.08326311,"about_ca_system_score_codex":0.000042876363,"about_ca_system_score_gemma":0.000032530093,"threshold_uncertainty_score":0.3571344},"labels":[],"label_agreement":null},{"id":"W2962715240","doi":"10.1142/s0129167x18500180","title":"Bisectors determining unique pairs of points in the bidisk","year":2018,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"National Research Foundation of Korea; Graduate Center; Natural Sciences and Engineering Research Council of Canada; Konkuk University; Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Equidistant; Metric (unit); Rank (graph theory); Assertion; Uniqueness; Euclidean geometry; Combinatorics; Metric space; Euclidean space; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.05771468582867306,"score_gpt":0.35435735522764783,"score_spread":0.29664266939897477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962715240","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98306686,0.00003133093,0.01361095,0.0008502701,0.00048237902,0.0000713495,0.0000036876613,0.0000056600175,0.0018775401],"genre_scores_gemma":[0.9635794,0.000017418768,0.035966422,0.00011938922,0.00024735671,0.0000012490974,3.179591e-7,0.000011469039,0.000056937457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837214,0.00009275032,0.00080682104,0.00006363841,0.0005399105,0.00012473062],"domain_scores_gemma":[0.9972081,0.0013520344,0.00081555865,0.00015638812,0.00043725528,0.00003064856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014808716,0.00009767465,0.0002596248,0.0004636523,0.000020118141,0.000019056699,0.00075442577,0.000061078164,0.00018134686],"category_scores_gemma":[0.0023293511,0.00006183952,0.00011972726,0.00028912138,0.00013963175,0.00009116095,0.000060081788,0.00018070589,0.000008497298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016390432,0.0038153178,0.05603298,0.00039356053,0.0011342758,0.0007277632,0.07995704,0.000018038965,0.0021220958,0.8254123,0.0115886405,0.018634083],"study_design_scores_gemma":[0.0012450073,0.00051089376,0.0056871944,0.00049755827,0.00006885984,0.0014802702,0.0072554015,0.00046913658,0.005430991,0.97612286,0.0010581792,0.00017362954],"about_ca_topic_score_codex":0.000005865415,"about_ca_topic_score_gemma":0.000015524476,"teacher_disagreement_score":0.15071058,"about_ca_system_score_codex":0.000038812683,"about_ca_system_score_gemma":0.000065707885,"threshold_uncertainty_score":0.2788619},"labels":[],"label_agreement":null},{"id":"W2962801603","doi":"10.1016/j.jpaa.2012.04.016","title":"C(6) groups do not contain <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>","year":2012,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Scroll; Presentation (obstetrics); Mathematics; Computer science; Algorithm; Database; History; Archaeology","score_opus":0.017867001544197597,"score_gpt":0.24293945074307519,"score_spread":0.2250724491988776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962801603","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3847654,0.0047769323,0.0018528776,0.0019290248,0.005951192,0.000103328945,0.00079598214,0.0003785779,0.5994467],"genre_scores_gemma":[0.96917605,0.004500337,0.005026838,0.004883119,0.0089156795,0.0019928855,0.002103116,0.002372021,0.0010299389],"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9754899,0.0013289258,0.005795786,0.0038195385,0.006636443,0.006929378],"domain_scores_gemma":[0.9775278,0.0054304027,0.0075853993,0.004692712,0.00059601705,0.0041676424],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0067042815,0.0025257785,0.0011936944,0.00224896,0.003815838,0.00383029,0.005726424,0.0068917917,0.8567764],"category_scores_gemma":[0.004826109,0.004981745,0.005251734,0.0037102716,0.004496828,0.0038107676,0.0049104416,0.005936789,0.0045955363],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0038055407,0.0010025603,0.00004602555,0.0024002641,0.0045916294,0.0030553823,0.0035353447,0.00077345874,0.0039191097,0.39416906,0.5785186,0.004182989],"study_design_scores_gemma":[0.0068106833,0.0044112857,0.00026244414,0.0025868625,0.005959402,0.007863781,0.0074066436,0.0043734335,0.9408188,0.0013073229,0.013530775,0.00466859],"about_ca_topic_score_codex":0.0018955078,"about_ca_topic_score_gemma":0.002543391,"teacher_disagreement_score":0.93689966,"about_ca_system_score_codex":0.000055611206,"about_ca_system_score_gemma":0.003933748,"threshold_uncertainty_score":0.9996531},"labels":[],"label_agreement":null},{"id":"W2962817913","doi":"10.1142/s0218216508006609","title":"THISTLETHWAITE'S THEOREM FOR VIRTUAL LINKS","year":2008,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":49,"is_retracted":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":"Ohio State University","keywords":"Mathematics; Tutte polynomial; Combinatorics; Planar graph; Discrete mathematics; Generalization; Graph minor; Robertson–Seymour theorem; Graph; 1-planar graph; Chordal graph; Voltage graph; Line graph; Mathematical analysis","score_opus":0.05768175805924774,"score_gpt":0.3142333843925583,"score_spread":0.2565516263333106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962817913","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8271866,0.001986263,0.16409282,0.0024976837,0.0005196521,0.0002939947,0.000029818677,0.000034270128,0.0033589234],"genre_scores_gemma":[0.99180466,0.00029133502,0.0030272312,0.00019985385,0.00027116833,0.000005967771,0.0000017634355,0.00001391022,0.004384121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990519,0.00016121498,0.00042709478,0.000097947785,0.00011758666,0.00014424084],"domain_scores_gemma":[0.99624664,0.002899881,0.00034196812,0.00014143022,0.00027518865,0.00009488962],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013426954,0.00009694987,0.00024246765,0.00020532889,0.00027057403,0.000011292515,0.0001828032,0.00014517846,0.00013541471],"category_scores_gemma":[0.0030662643,0.000072203315,0.00012386881,0.00018801549,0.0001628634,0.00011514423,0.00001948396,0.00030057656,0.000010029483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008067457,0.0001254615,0.000020272533,0.000013798039,0.000054589735,0.0000032121332,0.001193737,0.0000024658445,0.000634995,0.99291295,0.002305715,0.0026521143],"study_design_scores_gemma":[0.0007283054,0.00033691293,0.00068030256,0.000021396985,0.00009547262,0.0005299615,0.0009520801,0.00006777434,0.001002186,0.977841,0.017625825,0.00011877377],"about_ca_topic_score_codex":1.4668075e-7,"about_ca_topic_score_gemma":2.086641e-7,"teacher_disagreement_score":0.16461807,"about_ca_system_score_codex":0.00001721421,"about_ca_system_score_gemma":0.0000842513,"threshold_uncertainty_score":0.36708263},"labels":[],"label_agreement":null},{"id":"W2962837788","doi":"10.4153/cmb-2002-016-0","title":"The Topological Interpretation of the Core Group of a Surface in<i>S</i><sup>4</sup>","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Codimension; Group (periodic table); Interpretation (philosophy); Fundamental group; Invariant (physics); Surface (topology); Pure mathematics; Combinatorics; Generalization; Topology (electrical circuits); Geometry; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","score_opus":0.03203855121654016,"score_gpt":0.24707016753535138,"score_spread":0.21503161631881124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962837788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9727619,0.00027309635,0.00055228366,0.008435469,0.00007069119,0.00045698078,0.000016482005,0.000015831132,0.017417228],"genre_scores_gemma":[0.99672294,0.000014596702,0.0011789405,0.00024243373,0.000016749927,0.0000119054,6.783905e-7,0.000014272974,0.0017974869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984525,0.00015615288,0.0006098192,0.00017038507,0.00023046017,0.0003806997],"domain_scores_gemma":[0.99676466,0.0023984944,0.00017601137,0.00045319193,0.00006275212,0.00014488763],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00063670555,0.00014468216,0.00036178433,0.00008785416,0.00009775364,0.00001223468,0.00051516865,0.00015338165,0.005701474],"category_scores_gemma":[0.0037817657,0.0000823368,0.000137321,0.0004374545,0.00056182686,0.0000134728725,0.00007309059,0.00026123732,0.0002655699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000134851425,0.00016401548,0.0012780097,0.00017094116,0.000035087265,0.000010646464,0.0023995275,0.00005926247,0.000025722133,0.9785466,0.016065368,0.0012312917],"study_design_scores_gemma":[0.0006922843,0.00017802925,0.0013850249,0.00025092586,0.000058404166,0.00006147507,0.0029806558,0.013830913,0.0001427484,0.96979606,0.010353872,0.0002695799],"about_ca_topic_score_codex":0.00057315495,"about_ca_topic_score_gemma":0.0011853995,"teacher_disagreement_score":0.023960996,"about_ca_system_score_codex":0.00007512359,"about_ca_system_score_gemma":0.000040212402,"threshold_uncertainty_score":0.9952074},"labels":[],"label_agreement":null},{"id":"W2962855597","doi":"10.1142/s0218216513500582","title":"META-MONOIDS, META-BICROSSED PRODUCTS, AND THE ALEXANDER POLYNOMIAL","year":2013,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"McGill University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Invariant (physics); Algebraic number; Algebra over a field; Alexander polynomial; Polynomial; Extension (predicate logic); Pure mathematics; Computer science; Knot theory; Knot (papermaking); Programming language; Engineering","score_opus":0.09096415185445088,"score_gpt":0.29825320355558876,"score_spread":0.20728905170113787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962855597","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8674158,0.06544575,0.00712933,0.055456843,0.0005220485,0.001342155,0.00002451676,0.000045322995,0.0026182474],"genre_scores_gemma":[0.989235,0.00052215904,0.0012574687,0.00032995408,0.00019315256,0.000034251207,7.441109e-7,0.000012926077,0.008414331],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848986,0.00052036205,0.0005410228,0.00014262283,0.00014165648,0.00016446214],"domain_scores_gemma":[0.99662495,0.0022634289,0.00046695027,0.00024074061,0.00031123828,0.00009270926],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026268992,0.0001501451,0.00058520853,0.00015013565,0.00026704726,0.00008466384,0.00020822279,0.0000710798,0.00093665824],"category_scores_gemma":[0.0021683755,0.000072938106,0.00021202098,0.00024486848,0.00037237557,0.00024966273,0.000046090758,0.00026508197,0.000016269983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100626756,0.00013214262,0.000011582441,0.000034131077,0.0055817976,0.0000013056408,0.0012091653,0.000001938258,0.0011572065,0.9820905,0.008479868,0.0011997543],"study_design_scores_gemma":[0.0028556865,0.0001628126,0.0021909063,0.000009127569,0.021478765,0.00058765605,0.0018563233,0.000063362706,0.0027650907,0.9453734,0.022367217,0.00028966245],"about_ca_topic_score_codex":0.000004724157,"about_ca_topic_score_gemma":8.938723e-7,"teacher_disagreement_score":0.12181923,"about_ca_system_score_codex":0.000007617534,"about_ca_system_score_gemma":0.000055355013,"threshold_uncertainty_score":0.99997663},"labels":[],"label_agreement":null},{"id":"W2962855835","doi":"10.1016/j.jalgebra.2014.07.039","title":"Growth of subalgebras and subideals in free Lie algebras","year":2014,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Subalgebra; Finitely-generated abelian group; Lie algebra; Pure mathematics; Exponential growth; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.01902909940044122,"score_gpt":0.26667288968999336,"score_spread":0.24764379028955213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962855835","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9926777,0.0013971381,0.001891336,0.0020850517,0.0003449131,0.00009836225,0.0000033807885,0.000012896051,0.0014892587],"genre_scores_gemma":[0.9910303,0.00020909387,0.0080824215,0.00021125075,0.00023864249,0.0000013851778,4.3025886e-7,0.000027809134,0.00019871225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977476,0.00020636182,0.0011186792,0.00017281996,0.00041119233,0.00034331737],"domain_scores_gemma":[0.9969352,0.0014551447,0.0008619871,0.00032219046,0.00025039446,0.0001750809],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018815262,0.00019812821,0.00079307775,0.00080300827,0.000032052176,0.000020113928,0.0004551114,0.00018754198,0.00021536548],"category_scores_gemma":[0.00469845,0.00016555277,0.00015781554,0.0006163368,0.0002048845,0.00023389561,0.00013499853,0.00039212423,0.0000068970403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000088918794,0.00032649894,0.048563037,0.00026962723,0.00011872517,0.000059551247,0.0006569018,7.0657524e-7,0.00089520775,0.9322888,0.011747582,0.0049844473],"study_design_scores_gemma":[0.0018389337,0.00050196267,0.041578814,0.00012221039,0.00006675928,0.00033242066,0.00016825323,0.000011798155,0.0033251562,0.95138305,0.0005030542,0.0001675547],"about_ca_topic_score_codex":0.00004550841,"about_ca_topic_score_gemma":0.000033251457,"teacher_disagreement_score":0.019094285,"about_ca_system_score_codex":0.0000352506,"about_ca_system_score_gemma":0.00008118532,"threshold_uncertainty_score":0.6751046},"labels":[],"label_agreement":null},{"id":"W2962914818","doi":"10.1017/s0305004113000510","title":"Metabelian SL(<i>n</i>, ) representations of knot groups IV: twisted Alexander polynomials","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Alexander polynomial; Knot (papermaking); Mathematics; Tensor product; Knot polynomial; Pure mathematics; Algebra over a field; Combinatorics; Knot theory; Skein relation","score_opus":0.04008795781058019,"score_gpt":0.28426439023344247,"score_spread":0.24417643242286227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962914818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93064815,0.00011510194,0.0012302686,0.030336626,0.00016052429,0.0015566169,0.00003843408,0.00014611715,0.035768148],"genre_scores_gemma":[0.98497814,0.0000125468205,0.012703119,0.0004655862,0.0002227538,0.00010542934,0.0000021005433,0.000052718362,0.001457598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968884,0.000039474373,0.001317714,0.0004502584,0.0007895571,0.0005145886],"domain_scores_gemma":[0.99685204,0.0011334309,0.00077800016,0.00045022633,0.000566489,0.00021982104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008238562,0.00035245053,0.0010148584,0.00008900957,0.00018091466,0.00004582464,0.0008922282,0.0003343061,0.000595411],"category_scores_gemma":[0.0025490557,0.00023238084,0.00093739433,0.0010273332,0.0010280318,0.00024408668,0.0005321053,0.00049426965,0.00005685197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012943443,0.0006320337,0.00059230905,0.000905906,0.0003093975,1.981616e-7,0.0005215013,5.823813e-7,0.021503236,0.9422922,0.033120792,0.000108900305],"study_design_scores_gemma":[0.0008476372,0.00009145008,0.0023652862,0.0001339671,0.0003132568,0.000029212957,0.00064546923,0.00060312625,0.012995596,0.9815895,0.00010097316,0.0002845492],"about_ca_topic_score_codex":0.000027385731,"about_ca_topic_score_gemma":1.5035265e-7,"teacher_disagreement_score":0.054329984,"about_ca_system_score_codex":0.000057326128,"about_ca_system_score_gemma":0.000041432002,"threshold_uncertainty_score":0.9476216},"labels":[],"label_agreement":null},{"id":"W2962951933","doi":"10.1515/form.2002.023","title":"Four-manifolds which admit {Z_p x Z_p} actions","year":2002,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.11062240981636381,"score_gpt":0.3042477653400462,"score_spread":0.1936253555236824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962951933","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41632837,0.0005747826,0.058913372,0.020064713,0.0021088144,0.0018311798,0.00006109429,0.0018505708,0.49826708],"genre_scores_gemma":[0.9442263,0.000027356242,0.01869394,0.00028620745,0.00020598744,0.000092685,0.0000042414817,0.0000805183,0.036382727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977439,0.0000611998,0.0006168997,0.00037827095,0.00042274056,0.00077701145],"domain_scores_gemma":[0.99778664,0.00079770834,0.00028200162,0.00079562055,0.00013595156,0.00020205452],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00034878825,0.00033006354,0.0005397043,0.0003539493,0.00034603168,0.00007247708,0.00043092598,0.00020728135,0.007941312],"category_scores_gemma":[0.0015199455,0.00028418456,0.00020608652,0.0009495876,0.000068461406,0.00021236968,0.00016601573,0.0003132608,0.0032381762],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006190306,0.00082639634,0.00029022177,0.000392414,0.00020742461,0.000035707184,0.0015404881,0.000004455089,0.00015054437,0.7570826,0.23470873,0.004754869],"study_design_scores_gemma":[0.00088425004,0.00023608468,0.00018570629,0.00013192977,0.00020027102,0.0004967162,0.0014776955,0.003926588,0.00064352737,0.9408484,0.050298344,0.0006704845],"about_ca_topic_score_codex":0.000008904807,"about_ca_topic_score_gemma":0.000055016506,"teacher_disagreement_score":0.52789795,"about_ca_system_score_codex":0.0000706967,"about_ca_system_score_gemma":0.000023101431,"threshold_uncertainty_score":0.999961},"labels":[],"label_agreement":null},{"id":"W2963007982","doi":"10.4171/jems/314","title":"Limits of relatively hyperbolic groups and Lyndon’s completions","year":2012,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Pure mathematics","score_opus":0.06954231133958808,"score_gpt":0.2947287694078448,"score_spread":0.22518645806825674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963007982","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9636606,0.000458357,0.013471183,0.0015209479,0.00020810812,0.00013340452,0.000004467803,0.000015325479,0.020527616],"genre_scores_gemma":[0.97208595,0.000044298788,0.027002154,0.0001166274,0.0002556981,3.9344235e-7,9.645445e-8,0.000022728816,0.00047204777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983991,0.0003790591,0.00063043716,0.00006531916,0.00030041623,0.00022566631],"domain_scores_gemma":[0.9978094,0.001129118,0.00061916787,0.00020177994,0.00010613344,0.0001343948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021680817,0.000121910045,0.00038167878,0.000035808363,0.00011537598,0.000011499992,0.00029557387,0.000048825903,0.000113880065],"category_scores_gemma":[0.001520481,0.000069163456,0.00037396388,0.00023176034,0.00028795944,0.00010956664,0.00016137997,0.00035018288,0.00002113544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018504214,0.0014539028,0.008052275,0.000544252,0.00063101534,0.000004790141,0.018818177,0.000002554146,0.0025549755,0.9250832,0.040648192,0.0021881326],"study_design_scores_gemma":[0.0017040493,0.0002287136,0.1334662,0.0004032274,0.0006361256,0.0012904716,0.0036098792,0.00015131947,0.0005429492,0.85337126,0.0042688586,0.00032696602],"about_ca_topic_score_codex":3.2406595e-7,"about_ca_topic_score_gemma":5.8517212e-8,"teacher_disagreement_score":0.12541392,"about_ca_system_score_codex":0.000025808906,"about_ca_system_score_gemma":0.00001468644,"threshold_uncertainty_score":0.2820404},"labels":[],"label_agreement":null},{"id":"W2963073113","doi":"","title":"New inequalities on the hyperbolicity constant of line graphs","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric and Algebraic Topology","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; Geodesic; Combinatorics; Infimum and supremum; Graph; Hyperbolic geometry; Constant (computer programming); Real line; Metric space; Line (geometry); Upper and lower bounds; Discrete mathematics; Mathematical analysis; Geometry; Algebraic geometry","score_opus":0.047041989565067825,"score_gpt":0.28250308860033796,"score_spread":0.23546109903527013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963073113","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9893233,0.00006777488,0.00017121814,0.0030170267,0.0006633102,0.00013376409,0.000010609913,0.000045695033,0.006567271],"genre_scores_gemma":[0.9980162,0.000030044359,0.00020828388,0.0001709755,0.000011046058,0.000004952621,3.627251e-7,0.000011925821,0.0015462408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990858,0.000099324345,0.00028491006,0.00012997733,0.00020328196,0.00019670493],"domain_scores_gemma":[0.9968758,0.002460877,0.0001484086,0.00038378258,0.000070379574,0.000060725877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036148704,0.000116863775,0.0002581254,0.00010045387,0.000050734234,0.000005614298,0.00023963803,0.00007170636,0.00041293615],"category_scores_gemma":[0.0013489949,0.000057697744,0.00007940041,0.00029208153,0.00015830259,0.000030294383,0.00006311292,0.00008786665,0.00004065756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001531414,0.00007350069,0.0010769207,0.000010017505,0.000032576885,0.000001423059,0.00019235558,2.3651822e-8,0.00029452713,0.98750263,0.009274188,0.0015264953],"study_design_scores_gemma":[0.00069595384,0.00018937714,0.00049307075,0.00003992395,0.000015736387,0.0000027545018,0.00015471983,6.325722e-7,0.0070430166,0.9902881,0.000992796,0.000083946645],"about_ca_topic_score_codex":0.00007320983,"about_ca_topic_score_gemma":0.000005017513,"teacher_disagreement_score":0.008692838,"about_ca_system_score_codex":0.000016903527,"about_ca_system_score_gemma":0.00005944472,"threshold_uncertainty_score":0.45213613},"labels":[],"label_agreement":null},{"id":"W2963092075","doi":"10.48550/arxiv.1312.2305","title":"Limit sets of Teichm\\\\\"uller geodesics with minimal non-uniquely ergodic\\n vertical foliation","year":2013,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Ergodic theory; Foliation (geology); Geodesic; Mathematics; Measure (data warehouse); Boundary (topology); Pure mathematics; Limit (mathematics); Simplex; Surface (topology); Mathematical analysis; Geometry; Computer science; Geology","score_opus":0.0695788993945811,"score_gpt":0.19919420628831255,"score_spread":0.12961530689373146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963092075","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9480839,0.0000068633544,0.045469735,0.00013868304,0.000050840128,0.00024030976,0.0000032396206,0.00005568974,0.0059507536],"genre_scores_gemma":[0.9950244,0.000013143944,0.003374187,0.00007624029,0.00001758568,0.000001241227,0.000004216045,0.000019883084,0.0014691448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989942,0.00005977801,0.0002023571,0.00032093513,0.00010200514,0.00032078047],"domain_scores_gemma":[0.99882454,0.00036738598,0.000113954826,0.00035655263,0.00019522254,0.00014232063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012519106,0.00017371545,0.00029080387,0.00022088077,0.000072531264,0.000012518443,0.00025316334,0.00016500533,0.0006309864],"category_scores_gemma":[0.0001425624,0.00015795881,0.000085998145,0.0006643379,0.00022040009,0.00021726056,0.00009547064,0.00016685175,0.00015501649],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027641555,0.00071728753,0.065491706,0.00016886996,0.0003101572,0.000133459,0.00054532266,0.0008492402,0.0005819202,0.92370003,0.0060740956,0.0011515166],"study_design_scores_gemma":[0.006942141,0.002354657,0.1888992,0.00017859125,0.00088981196,0.00005872965,0.0021826609,0.0826794,0.0067317844,0.7067375,0.0008365748,0.0015089534],"about_ca_topic_score_codex":0.00016103138,"about_ca_topic_score_gemma":0.000033715773,"teacher_disagreement_score":0.21696252,"about_ca_system_score_codex":0.000057966474,"about_ca_system_score_gemma":0.0000813701,"threshold_uncertainty_score":0.6908859},"labels":[],"label_agreement":null},{"id":"W2963144218","doi":"10.4153/cmb-2010-069-1","title":"Asymptotic Dimension of Proper CAT(0) Spaces that are Homeomorphic to the Plane","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Dimension (graph theory); Plane (geometry); Space (punctuation); Pure mathematics; Packing dimension; Inductive dimension; Mathematical analysis; Combinatorics; Minkowski–Bouligand dimension; Geometry; Fractal dimension","score_opus":0.02623962601286198,"score_gpt":0.2403292577808923,"score_spread":0.21408963176803034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963144218","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.954676,0.00003558894,0.00036294715,0.03699922,0.00027147384,0.0006709793,0.000037633894,0.0000432656,0.0069028945],"genre_scores_gemma":[0.99061036,0.0000018836577,0.0040871208,0.0009378858,0.00010443527,0.00003787935,0.0000036732272,0.00003635348,0.0041803936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984672,0.00007021198,0.00034094244,0.0002704997,0.00031695448,0.0005342109],"domain_scores_gemma":[0.99769646,0.0008335882,0.00014520765,0.00066437863,0.00009571644,0.0005646357],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006347282,0.00021635115,0.00044304275,0.0002603006,0.00014850653,0.000040265648,0.0004660803,0.00018288691,0.013767936],"category_scores_gemma":[0.0025628433,0.00013467766,0.00008775128,0.00032641756,0.00023161175,0.000015612097,0.00008154015,0.00031401071,0.0055571287],"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":[0.000033754306,0.0003282677,0.0025574898,0.00073018245,0.00014555475,0.00017394307,0.0028018914,0.000006834595,0.0014352442,0.70311904,0.28675076,0.0019170521],"study_design_scores_gemma":[0.001509662,0.0005487591,0.009753888,0.0007054573,0.0003819441,0.000890362,0.004998623,0.00023595197,0.005678548,0.43795875,0.5356818,0.0016562474],"about_ca_topic_score_codex":0.0010522516,"about_ca_topic_score_gemma":0.007101311,"teacher_disagreement_score":0.2651603,"about_ca_system_score_codex":0.000041559237,"about_ca_system_score_gemma":0.00014436062,"threshold_uncertainty_score":0.99521714},"labels":[],"label_agreement":null},{"id":"W2963148498","doi":"","title":"KHOVANOV HOMOLOGY FOR ALTERNATING TANGLES","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Khovanov homology; Mathematics; Diagonal; Generalization; Pure mathematics; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.08979569763496424,"score_gpt":0.36086628893757716,"score_spread":0.2710705913026129,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963148498","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42359102,0.00004820437,0.54700446,0.0038550568,0.0003901393,0.0002080188,0.000009098809,0.0001553145,0.024738694],"genre_scores_gemma":[0.9164705,0.0000037506018,0.06071776,0.00020919535,0.00016653923,0.000027867354,5.261761e-7,0.000014111655,0.022389714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941236,0.000014999876,0.00015898366,0.000139607,0.000053366904,0.00022067153],"domain_scores_gemma":[0.99829084,0.001425327,0.0000594268,0.00014681385,0.00004409349,0.000033506487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000167747,0.00006895987,0.00013998458,0.00009032878,0.00004103172,0.000004345565,0.00012444532,0.000056699086,0.00084176194],"category_scores_gemma":[0.0011785345,0.00003852339,0.000053424857,0.00007634081,0.000051363957,0.00003322282,0.00004044807,0.000021842161,0.000072735085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005213456,0.000031218868,0.0008943384,0.000013261134,0.00002290041,0.000002591532,0.00004079816,2.8092956e-8,0.0016307504,0.9477225,0.009345243,0.04029115],"study_design_scores_gemma":[0.00075866666,0.000107445805,0.000158215,0.000008489115,0.000011902746,0.000030166315,0.00009132904,0.000012228201,0.0072197774,0.97534436,0.016153073,0.00010437245],"about_ca_topic_score_codex":0.0000072669927,"about_ca_topic_score_gemma":0.000010015757,"teacher_disagreement_score":0.49287954,"about_ca_system_score_codex":0.000014419029,"about_ca_system_score_gemma":0.000012344008,"threshold_uncertainty_score":0.92167026},"labels":[],"label_agreement":null},{"id":"W2963239308","doi":"","title":"Speed Exponents of Random Walks on Groups","year":2014,"lang":"en","type":"article","venue":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","topic":"Geometric and Algebraic Topology","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":"Mathematics; Random walk; Constant (computer programming); Combinatorics; Simple random sample; Point (geometry); Loop-erased random walk; Simple (philosophy); Set (abstract data type); Heterogeneous random walk in one dimension; Function (biology); Discrete mathematics; Statistics; Geometry; Demography","score_opus":0.031175852034536378,"score_gpt":0.2613683942601279,"score_spread":0.23019254222559155,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963239308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9619021,0.0004640458,0.000027015107,0.014441669,0.00065860327,0.00072828226,0.000028383523,0.00008488924,0.021665005],"genre_scores_gemma":[0.99096155,0.000061033395,0.0021397835,0.00091923954,0.00028981507,0.0000050593108,8.301614e-7,0.000051032373,0.005571667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9946023,0.0011015291,0.0017707505,0.00060697435,0.0013802198,0.0005381931],"domain_scores_gemma":[0.99447376,0.0020920413,0.002630723,0.0006200137,0.000015991183,0.00016746765],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0013213421,0.00040592486,0.0011416447,0.00050491065,0.00040555245,0.000030008901,0.005339088,0.000572367,0.00013475014],"category_scores_gemma":[0.00054973166,0.00024411116,0.0007434405,0.0018581164,0.0034160002,0.001557467,0.0015042298,0.0009709358,0.000005042691],"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":[0.0010541579,0.0009174774,0.0642279,0.0011698932,0.00044680087,0.0000011110337,0.0015521122,0.00042757124,0.11031639,0.78527004,0.032642603,0.0019739405],"study_design_scores_gemma":[0.0017992271,0.00028014288,0.07552644,0.00069617154,0.0001544631,0.000035756235,0.00017854742,0.00050804915,0.6461244,0.27191088,0.0024690425,0.00031688708],"about_ca_topic_score_codex":0.0000068244117,"about_ca_topic_score_gemma":2.4631378e-8,"teacher_disagreement_score":0.535808,"about_ca_system_score_codex":0.000011715732,"about_ca_system_score_gemma":0.00013141148,"threshold_uncertainty_score":0.9992961},"labels":[],"label_agreement":null},{"id":"W2963240321","doi":"10.4153/cmb-2003-027-x","title":"Group Cohomology and <i>L<sup>p</sup></i>-Cohomology of Finitely Generated Groups","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Cohomology; Finitely-generated abelian group; Group (periodic table); Group cohomology; Pure mathematics; Nilpotent; Nilpotent group; Combinatorics; Discrete mathematics; Algebra over a field; Chemistry","score_opus":0.02382713043692126,"score_gpt":0.24005671129932385,"score_spread":0.2162295808624026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963240321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95991945,0.0005879346,0.004456845,0.0025697036,0.000120595636,0.0005213366,0.00004990361,0.000075505704,0.03169873],"genre_scores_gemma":[0.98394334,0.000033348726,0.012863096,0.0011446554,0.00006080934,0.00004351272,0.000014208638,0.000056780656,0.001840268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99742496,0.00036833953,0.00073968974,0.0004548503,0.00018722865,0.00082495954],"domain_scores_gemma":[0.9968145,0.0017581105,0.00017512833,0.0004759721,0.000115358176,0.000660915],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00087346527,0.0003248183,0.00082873134,0.00046625786,0.00013772103,0.000015835301,0.000269014,0.00043558946,0.017091453],"category_scores_gemma":[0.004056345,0.00030093477,0.00010940203,0.00046163652,0.00063110096,0.000023792409,0.000053143838,0.00033692594,0.0010672841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009069313,0.00011401111,0.00046171164,0.00017536095,0.000075382646,0.00013074608,0.00034489497,0.000002615987,0.000055950433,0.9786799,0.019651653,0.0002987206],"study_design_scores_gemma":[0.0011278316,0.00028859856,0.00016497381,0.000044775654,0.00011488434,0.000897931,0.00049309444,0.00017781528,0.00026886325,0.95066375,0.04530455,0.00045292493],"about_ca_topic_score_codex":0.0004728659,"about_ca_topic_score_gemma":0.00043325446,"teacher_disagreement_score":0.02985846,"about_ca_system_score_codex":0.00007639676,"about_ca_system_score_gemma":0.00018059125,"threshold_uncertainty_score":0.99994427},"labels":[],"label_agreement":null},{"id":"W2963281049","doi":"10.4153/cmb-2013-030-2","title":"Left-orderable Fundamental Group and Dehn Surgery on the Knot 5<sub>2</sub>","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Knot (papermaking); Dehn surgery; Combinatorics; Fundamental group; Pure mathematics","score_opus":0.025453379462088078,"score_gpt":0.2168316444992222,"score_spread":0.19137826503713412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963281049","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95677406,0.0000941839,0.00027452916,0.026230298,0.00012008562,0.0005871744,0.000012633668,0.00006379927,0.015843254],"genre_scores_gemma":[0.9935981,0.000019696708,0.0006229788,0.0037211315,0.000095634605,0.00008647065,0.0000052127853,0.000046976405,0.0018038059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99813324,0.00013655382,0.00041643876,0.00032740273,0.00024362691,0.00074270676],"domain_scores_gemma":[0.9946239,0.004217041,0.00009185351,0.00042429697,0.00004319015,0.0005997361],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00066281104,0.00026849782,0.00042435515,0.0002469035,0.00032244626,0.00014024034,0.00022199529,0.00016744115,0.027239],"category_scores_gemma":[0.0020300057,0.00018812483,0.00011545847,0.00016321264,0.0002950089,0.000036855883,0.000061627914,0.0003239741,0.011641776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052273117,0.0001378893,0.00036189865,0.0001605417,0.00006717568,0.00003902303,0.0003241337,2.021453e-7,0.00021027899,0.54964983,0.44451565,0.004528138],"study_design_scores_gemma":[0.00035763648,0.00011826352,0.0012078884,0.00016614054,0.000055319655,0.0002101973,0.0010492813,0.000102396254,0.00097339595,0.93584806,0.0593107,0.0006007435],"about_ca_topic_score_codex":0.0008495213,"about_ca_topic_score_gemma":0.0009712065,"teacher_disagreement_score":0.3861982,"about_ca_system_score_codex":0.000112447626,"about_ca_system_score_gemma":0.00009887054,"threshold_uncertainty_score":0.98912776},"labels":[],"label_agreement":null},{"id":"W2963412444","doi":"10.1090/s0002-9939-2010-10441-0","title":"An octonion algebra originating in combinatorics","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Algebra over a field; Mathematics; Combinatorics; Algebraic combinatorics; Pure mathematics","score_opus":0.01467713181370596,"score_gpt":0.30175252857563,"score_spread":0.28707539676192406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963412444","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9940935,0.000004448257,0.00031035347,0.0007431094,0.00009546961,0.0002524731,0.0000017935929,0.00007902138,0.0044198423],"genre_scores_gemma":[0.96115136,0.0000046103796,0.038481984,0.0001389008,0.000057350062,0.000021365813,2.7261493e-7,0.000030047433,0.00011413404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984039,0.000014208223,0.0004908839,0.00027627582,0.00041833852,0.00039639295],"domain_scores_gemma":[0.9983901,0.0005077855,0.0005784568,0.00024325123,0.00017303124,0.00010741436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010108785,0.00019720849,0.0005250086,0.000065478605,0.00011222181,0.000034571844,0.0007366237,0.00010294612,0.00006533478],"category_scores_gemma":[0.0015544512,0.0001358721,0.00023375842,0.0013630075,0.0007378131,0.00016302249,0.0001797233,0.0006451472,0.000006407733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053185618,0.0005186441,0.020713938,0.00020156414,0.000022966413,1.7755522e-7,0.0015915014,1.6993118e-7,0.01356121,0.9618882,0.0006332018,0.00086309825],"study_design_scores_gemma":[0.00030564488,0.000114439325,0.007679853,0.00003995471,0.000031670686,0.000015657648,0.0027082206,0.0012365385,0.005456617,0.98212,0.00010143153,0.00018997934],"about_ca_topic_score_codex":0.000026693884,"about_ca_topic_score_gemma":0.0000017753013,"teacher_disagreement_score":0.03817163,"about_ca_system_score_codex":0.000047407644,"about_ca_system_score_gemma":0.00003486399,"threshold_uncertainty_score":0.55407035},"labels":[],"label_agreement":null},{"id":"W2963483790","doi":"10.4171/cmh/404","title":"Word length statistics for Teichmuller geodesics and singularity of harmonic measure","year":2017,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Geodesic; Measure (data warehouse); Harmonic measure; Lebesgue measure; Boundary (topology); Metric (unit); Corollary; Harmonic; Harmonic function; Mathematical analysis; Pure mathematics; Lebesgue integration; Combinatorics","score_opus":0.12072882832133096,"score_gpt":0.3584379712942002,"score_spread":0.23770914297286921,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963483790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.958834,0.00083509705,0.035084162,0.0020051266,0.00016737515,0.0014065308,0.00083578913,0.000040562114,0.00079137046],"genre_scores_gemma":[0.9522077,0.00017752354,0.044734936,0.000003872738,0.00005425978,0.0000012054362,0.000032176955,0.000020060223,0.0027682593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798757,0.00017734285,0.0002426069,0.00047329956,0.0006045993,0.00051461055],"domain_scores_gemma":[0.9962477,0.000922406,0.0003403242,0.0010607208,0.0012721374,0.00015667715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025403972,0.00015783001,0.00047955723,0.00040085413,0.0008324006,0.000035822308,0.0008515701,0.00013926745,0.00006579217],"category_scores_gemma":[0.007239963,0.0001677033,0.00007996894,0.00025385382,0.0018301667,0.00021692534,0.00059390307,0.00040669338,0.000006843748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029329802,0.0036435833,0.046043966,0.008407982,0.0021111167,0.00025901268,0.019728199,0.00001237308,0.010583161,0.3314149,0.24503544,0.32982728],"study_design_scores_gemma":[0.012017817,0.0024191656,0.17529896,0.0005163658,0.00051443087,0.00007098521,0.008378029,0.00046213416,0.015228035,0.6851392,0.09842799,0.0015268953],"about_ca_topic_score_codex":0.0010066734,"about_ca_topic_score_gemma":0.00027871004,"teacher_disagreement_score":0.3537243,"about_ca_system_score_codex":0.0000770086,"about_ca_system_score_gemma":0.0003119699,"threshold_uncertainty_score":0.8667435},"labels":[],"label_agreement":null},{"id":"W2963485658","doi":"10.3934/era.2014.21.177","title":"On the injectivity radius in Hofer's geometry","year":2014,"lang":"en","type":"article","venue":"Electronic Research Announcements","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Contractible space; Conjecture; Mathematics; Ball (mathematics); Hamiltonian (control theory); Symplectic geometry; Combinatorics; Pure mathematics; Symplectic manifold; Geometry","score_opus":0.100520085684404,"score_gpt":0.3998296662158148,"score_spread":0.29930958053141077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963485658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.967961,0.00015406896,0.0007065631,0.0025666822,0.00009972189,0.0005619311,0.0000038357857,0.00003630854,0.027909905],"genre_scores_gemma":[0.9953873,0.00006096942,0.000039651648,0.00024704868,0.00010323547,0.00011231106,0.0000055589007,0.0000202203,0.004023696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995619,0.0011097003,0.00026823895,0.00040138047,0.0010656641,0.0015360112],"domain_scores_gemma":[0.99516356,0.0039238757,0.000064367334,0.000636769,0.00012039338,0.000091038215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0081825545,0.00016224923,0.00024413837,0.0007086363,0.0002933019,0.000054136282,0.00063513976,0.000105182284,0.00051926775],"category_scores_gemma":[0.0070431666,0.00011037226,0.000057684538,0.0021591801,0.00020632356,0.00008025187,0.00017221602,0.0013514055,0.00031214612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000102438025,0.0004934965,0.003058014,0.000022318894,0.000053302338,0.0000059820995,0.00018763391,0.000005738706,0.0002535681,0.96519727,0.019465197,0.011155066],"study_design_scores_gemma":[0.000837709,0.0012719636,0.0032261135,0.000024637555,0.0000032501036,0.00000477963,0.00013983072,0.00026504148,0.00037969573,0.96107584,0.032623198,0.00014795322],"about_ca_topic_score_codex":0.00011728865,"about_ca_topic_score_gemma":0.00021325119,"teacher_disagreement_score":0.027426325,"about_ca_system_score_codex":0.0004370712,"about_ca_system_score_gemma":0.00025416914,"threshold_uncertainty_score":0.8431837},"labels":[],"label_agreement":null},{"id":"W2963509415","doi":"10.4171/cmh/394","title":"Cocompactly cubulated 2-dimensional Artin groups","year":2016,"lang":"en","type":"article","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Artin L-function; Artin group; Pure mathematics; Conductor; Geometry; Coxeter group","score_opus":0.06090653188657239,"score_gpt":0.3172081314284051,"score_spread":0.2563015995418327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963509415","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95602685,0.000117280724,0.020901747,0.014271237,0.00044268774,0.00076259056,0.0000322978,0.00043991383,0.0070054135],"genre_scores_gemma":[0.9790701,0.000007415225,0.014965811,0.0017529163,0.00012837574,0.0000630842,0.000010301321,0.00007614254,0.003925831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720925,0.00017120369,0.0008879492,0.00044673402,0.0005231681,0.0007616887],"domain_scores_gemma":[0.99558926,0.002874495,0.00035193266,0.0007955527,0.00011392313,0.0002748152],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00071045157,0.0004096581,0.0006955083,0.00029057922,0.00021424257,0.00003935301,0.0004783982,0.00017122779,0.0079336325],"category_scores_gemma":[0.00087496056,0.00026195083,0.00020773408,0.000413557,0.00026963837,0.00014881382,0.00027966648,0.00020858727,0.0013807521],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010674017,0.0019609458,0.0018382905,0.00023814826,0.0005029865,0.00007660137,0.0014384121,0.0000019073802,0.011030271,0.7816718,0.19523129,0.005902574],"study_design_scores_gemma":[0.0027398774,0.00028172406,0.0008818016,0.00031884768,0.00017993395,0.00016870911,0.00031323757,0.00017806797,0.008995578,0.9784973,0.006826105,0.00061880826],"about_ca_topic_score_codex":0.000025982547,"about_ca_topic_score_gemma":0.000020364065,"teacher_disagreement_score":0.19682547,"about_ca_system_score_codex":0.0001658788,"about_ca_system_score_gemma":0.00005047899,"threshold_uncertainty_score":0.99998325},"labels":[],"label_agreement":null},{"id":"W2963536692","doi":"10.2478/tatra.v64i0.374","title":"A generalized Goursat lemma","year":2015,"lang":"en","type":"article","venue":"Tatra Mountains Mathematical Publications","topic":"Geometric and Algebraic Topology","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; Sylow theorems; Lemma (botany); Profinite group; Pure mathematics; Direct product; Product (mathematics); Locally finite group; Group (periodic table); Finite group; Abelian group; Geometry","score_opus":0.15098580343466877,"score_gpt":0.3649853765535787,"score_spread":0.21399957311890994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963536692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41643545,0.00019201619,0.31438747,0.043089166,0.0003558204,0.0015072162,0.00007825537,0.0017911189,0.22216348],"genre_scores_gemma":[0.8158145,0.0000061900732,0.15932584,0.0008410918,0.00035339405,0.00037647985,0.00008364591,0.000091504866,0.023107342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997755,0.00012581343,0.00064579287,0.00037472937,0.00051402213,0.0005846418],"domain_scores_gemma":[0.99723405,0.00076472486,0.00019613275,0.00087189616,0.00036291793,0.0005702711],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000968732,0.00025522363,0.0004472194,0.00040314015,0.0001562477,0.00012955912,0.0005512257,0.00017035958,0.0013659835],"category_scores_gemma":[0.0048741694,0.00021515758,0.00015488238,0.0011625944,0.0002482413,0.00028388074,0.00014399715,0.000250583,0.0012055725],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004858111,0.00039792983,0.00015484025,0.00003136762,0.000043667816,0.0000022250395,0.0005963518,0.00000241616,0.000017541684,0.9243045,0.0740403,0.00040400107],"study_design_scores_gemma":[0.0007789128,0.00006397137,0.00019118747,0.00000886417,0.0000731668,0.00009286938,0.0006750584,0.0007406612,0.000051984072,0.95787686,0.03918938,0.00025707795],"about_ca_topic_score_codex":0.00001941162,"about_ca_topic_score_gemma":0.0000117682475,"teacher_disagreement_score":0.39937904,"about_ca_system_score_codex":0.0001668212,"about_ca_system_score_gemma":0.00024342207,"threshold_uncertainty_score":0.9995721},"labels":[],"label_agreement":null},{"id":"W2963541683","doi":"10.48550/arxiv.1806.09719","title":"Bisected vertex leveling of plane graphs: braid index, arc index and delta diagrams","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Combinatorics; Braid; Mathematics; Crossing number (knot theory); Vertex (graph theory); Planar graph; Upper and lower bounds; Mathematical proof; Quadratic equation; Embedding; Arc (geometry); Graph; Discrete mathematics; Geometry; Knot (papermaking); Computer science; Mathematical analysis","score_opus":0.09481920375208165,"score_gpt":0.21831855791981794,"score_spread":0.12349935416773629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963541683","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9545915,0.000107894775,0.043419924,0.000027836446,0.00039432856,0.00031143028,0.00007675667,0.00012192347,0.00094841834],"genre_scores_gemma":[0.9985811,0.00022188108,0.00043376302,0.00003647892,0.00006084679,8.746686e-7,0.000043499138,0.000038532653,0.00058299326],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809355,0.00013517724,0.00038778337,0.0008235911,0.00013091779,0.0004290113],"domain_scores_gemma":[0.997692,0.0006251104,0.0004999749,0.000767259,0.00022194338,0.00019369941],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00029284548,0.0003991254,0.00073114166,0.00090244575,0.00011506012,0.000025436053,0.0006327541,0.00067235844,0.00019768263],"category_scores_gemma":[0.00044754703,0.0004294958,0.00018568285,0.0009270768,0.0005156289,0.000089721616,0.0010593442,0.0006671816,0.000014297252],"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":[0.0007194218,0.0009608218,0.6458527,0.0022750818,0.002079445,0.00061859144,0.0017643183,0.0018132997,0.00015259624,0.33756962,0.0029659644,0.0032281282],"study_design_scores_gemma":[0.0018745302,0.0002028201,0.03988022,0.0002930717,0.00036132146,0.00002395381,0.0004603799,0.013039919,0.0002015937,0.9427627,0.00014921633,0.00075032335],"about_ca_topic_score_codex":0.000488373,"about_ca_topic_score_gemma":0.00029490527,"teacher_disagreement_score":0.60597247,"about_ca_system_score_codex":0.00006452037,"about_ca_system_score_gemma":0.00014430651,"threshold_uncertainty_score":0.9998157},"labels":[],"label_agreement":null},{"id":"W2963646348","doi":"","title":"A SUBGROUP THEOREM FOR HOMOLOGICAL FILLING FUNCTIONS","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Homological algebra; Algebra over a field; Discrete mathematics; Functor","score_opus":0.06558907032244828,"score_gpt":0.3043094684692084,"score_spread":0.23872039814676016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963646348","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1316997,0.000022081977,0.84643954,0.0020949494,0.0001963271,0.00017306501,0.00001126382,0.00015154832,0.019211533],"genre_scores_gemma":[0.94474196,0.0000040985988,0.020487966,0.00014182228,0.00012121907,0.00004715898,0.0000012091394,0.000009178844,0.034445375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994276,0.000020181635,0.0001402003,0.00014782665,0.000055680877,0.00020849766],"domain_scores_gemma":[0.9977513,0.001975803,0.00003482712,0.0001528596,0.000040497598,0.000044709355],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022268432,0.00007114818,0.00012900171,0.00007050121,0.00007783112,0.0000061093183,0.00008800923,0.00007808492,0.0027298385],"category_scores_gemma":[0.0011020971,0.00003435756,0.000085255604,0.0001202443,0.00007335304,0.00003113562,0.000028553319,0.00003222813,0.00014718872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010640777,0.000047445046,0.00034593942,0.0000053100453,0.000014791521,8.8945075e-7,0.000017317787,4.995993e-8,0.00023915395,0.97680056,0.013135244,0.00938268],"study_design_scores_gemma":[0.00048415645,0.00014020989,0.00033090715,0.000005166712,0.000018039624,0.000016824266,0.00012084899,0.000016208132,0.00044079765,0.9787543,0.01958243,0.000090137226],"about_ca_topic_score_codex":0.000002140237,"about_ca_topic_score_gemma":0.0000045433117,"teacher_disagreement_score":0.8259516,"about_ca_system_score_codex":0.000013438134,"about_ca_system_score_gemma":0.000010177178,"threshold_uncertainty_score":0.9981818},"labels":[],"label_agreement":null},{"id":"W2963672388","doi":"10.1142/s0218216519500196","title":"L-spaces, left-orderability and two-bridge knots","year":2018,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"Chalmers Tekniska Högskola","keywords":"Mathematics; Combinatorics; Knot (papermaking); Conjecture; Covering space; Fundamental group; Cover (algebra); Cyclic group; Abelian group","score_opus":0.044037472162166656,"score_gpt":0.3412083191583309,"score_spread":0.29717084699616425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963672388","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9856279,0.0013526176,0.009046002,0.0018534919,0.00020211656,0.000108876106,0.000007946779,0.000015644553,0.0017854224],"genre_scores_gemma":[0.9969044,0.00018855135,0.0014484912,0.00011712886,0.00026006924,0.0000011492788,6.0553793e-7,0.000009245262,0.0010703577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989467,0.00026395844,0.0003894156,0.00013338438,0.00011506251,0.0001514768],"domain_scores_gemma":[0.9978275,0.0012604588,0.00029661998,0.0001802118,0.00030804786,0.00012720068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00165773,0.00010438426,0.00024219321,0.0001774228,0.00023358167,0.000038717422,0.00013148911,0.000065400745,0.0002878006],"category_scores_gemma":[0.0024871903,0.00007990014,0.000051060346,0.00018726599,0.00030836684,0.00016331248,0.000042107953,0.00019734206,0.00001466204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060174134,0.00015059883,0.00075316045,0.000030884057,0.000056248584,0.0000018405198,0.001442956,3.0349787e-7,0.00085973926,0.98861617,0.0010514988,0.0069764555],"study_design_scores_gemma":[0.0007610186,0.0002976364,0.031083656,0.000033928933,0.00011827907,0.00041252916,0.00064981595,0.00006315175,0.00079862005,0.9544794,0.01115578,0.00014619644],"about_ca_topic_score_codex":0.0000014311009,"about_ca_topic_score_gemma":0.0000056600984,"teacher_disagreement_score":0.034136754,"about_ca_system_score_codex":0.0000148270965,"about_ca_system_score_gemma":0.00005813409,"threshold_uncertainty_score":0.3258233},"labels":[],"label_agreement":null},{"id":"W2963684525","doi":"10.4171/ggd/460","title":"Braids, orderings, and minimal volume cusped hyperbolic 3-manifolds","year":2018,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Braid; Pure mathematics; Volume (thermodynamics)","score_opus":0.014469884932936461,"score_gpt":0.254346131451331,"score_spread":0.23987624651839454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963684525","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98336995,0.00043233062,0.010795373,0.00042875487,0.0003117493,0.00015463751,0.00003283004,0.00012897652,0.004345388],"genre_scores_gemma":[0.988065,0.00011663924,0.007831311,0.00023483382,0.0003462603,0.0000069403095,0.000014904015,0.000037315305,0.0033467945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984918,0.000044354238,0.0003367973,0.00044765728,0.00018654019,0.0004928258],"domain_scores_gemma":[0.998981,0.0002969625,0.00012360189,0.00031750754,0.00008262745,0.00019828072],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003698952,0.00026580956,0.00041703635,0.0004362509,0.00025404268,0.0000749437,0.0001803828,0.00024351776,0.00030358418],"category_scores_gemma":[0.0005216511,0.00024831243,0.00005565259,0.0008381335,0.00045409895,0.00015921809,0.00027633284,0.00021183984,0.00005589945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011764959,0.00032901546,0.117710784,0.0003732388,0.00022163244,0.000051681727,0.001173133,6.868683e-7,0.00019038521,0.81207466,0.0032798583,0.06447725],"study_design_scores_gemma":[0.004747837,0.0029759097,0.26259077,0.00010577579,0.00048195242,0.0016555686,0.00419597,0.037653856,0.00016020256,0.6508144,0.032209627,0.0024081196],"about_ca_topic_score_codex":0.0000549622,"about_ca_topic_score_gemma":0.00010327686,"teacher_disagreement_score":0.16126028,"about_ca_system_score_codex":0.00003185354,"about_ca_system_score_gemma":0.000021853719,"threshold_uncertainty_score":0.9999969},"labels":[],"label_agreement":null},{"id":"W2963803250","doi":"10.1016/j.jalgebra.2010.09.044","title":"On systems of equations over free products of groups","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Decidability; Free product; Homomorphism; Noetherian; Finitely generated group; Product (mathematics); Algebraic number; Pure mathematics; Set (abstract data type); Group (periodic table); Algebra over a field; Finitely-generated abelian group; Generating set of a group; Discrete mathematics; Mathematical analysis","score_opus":0.07042780447320199,"score_gpt":0.2804687492620249,"score_spread":0.21004094478882293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963803250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99192214,0.0003301524,0.003873968,0.00012842106,0.00063229795,0.00012447628,0.0000078118655,0.0000067970536,0.002973941],"genre_scores_gemma":[0.99628365,0.000013322186,0.0032649818,0.000017549826,0.00014432741,0.0000010623394,3.088257e-7,0.0000131187835,0.00026169585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853987,0.00007489873,0.0007957185,0.00008289389,0.0003694541,0.00013714838],"domain_scores_gemma":[0.9974603,0.00056541857,0.0011940481,0.00034681486,0.00037585807,0.000057557994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065090787,0.000097260534,0.0004286464,0.0004081142,0.0000210405,0.000004063081,0.0003195673,0.00007804467,0.00026512388],"category_scores_gemma":[0.0030682818,0.000071833325,0.000119810735,0.0003903039,0.000080326696,0.00010085767,0.00004487689,0.00017138285,0.000006577535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006815887,0.000559048,0.00096667523,0.00022534185,0.00018489371,0.0000124965345,0.001251514,0.000006210926,0.0009177771,0.9876166,0.00797906,0.00021221992],"study_design_scores_gemma":[0.0018132031,0.0019962485,0.013838149,0.00034115204,0.00025381098,0.00013524962,0.0008671301,0.000037725535,0.013570525,0.9667735,0.00018577471,0.0001875182],"about_ca_topic_score_codex":0.000026799053,"about_ca_topic_score_gemma":0.00000225624,"teacher_disagreement_score":0.02084309,"about_ca_system_score_codex":0.000022087266,"about_ca_system_score_gemma":0.00008252219,"threshold_uncertainty_score":0.36732417},"labels":[],"label_agreement":null},{"id":"W2963815265","doi":"10.4153/cmb-2016-078-3","title":"Stackings and the <i>W</i>-cycles Conjecture","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":18,"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; Corollary; Finitely-generated abelian group; Combinatorics; Bounded function; Graph; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.016310384344426276,"score_gpt":0.23829999057110532,"score_spread":0.22198960622667904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963815265","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4934689,0.00068467524,0.013986526,0.41039273,0.00022103013,0.0011393814,0.00006620214,0.00019717909,0.07984335],"genre_scores_gemma":[0.98782027,0.00002364278,0.0017083357,0.0021822897,0.000089970075,0.000030045192,4.867692e-7,0.00002697302,0.008117988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988301,0.000100407684,0.00026545222,0.0002146706,0.00014894869,0.00044041977],"domain_scores_gemma":[0.9962254,0.0029906158,0.00006763377,0.0003228317,0.000035818313,0.00035768386],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00061551254,0.00016372289,0.00032049848,0.000111520996,0.00015623424,0.000041051386,0.00023092657,0.00012259053,0.014079039],"category_scores_gemma":[0.0031580662,0.00007489525,0.000070764654,0.0001263494,0.0007237436,0.000016896238,0.000052043215,0.00012943488,0.0021214436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007932827,0.0000080247555,0.00004668074,0.000032171574,0.00002216328,0.000015247799,0.00019890901,1.0109907e-8,0.000007099262,0.9532995,0.043371424,0.0029908402],"study_design_scores_gemma":[0.0010164563,0.000017472788,0.000082464474,0.000050359136,0.000030205363,0.00009778608,0.0001294633,0.0000035241567,0.000040995717,0.8700668,0.12833306,0.00013138755],"about_ca_topic_score_codex":0.00036416043,"about_ca_topic_score_gemma":0.0005746544,"teacher_disagreement_score":0.49435136,"about_ca_system_score_codex":0.00004785784,"about_ca_system_score_gemma":0.000089249166,"threshold_uncertainty_score":0.9986555},"labels":[],"label_agreement":null},{"id":"W2963863932","doi":"10.1016/j.topol.2014.05.020","title":"Fixed subgroups of automorphisms of hyperbolic 3-manifold groups","year":2014,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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":"National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Mathematics; Automorphism; Pure mathematics; Manifold (fluid mechanics); Relatively hyperbolic group; Automorphisms of the symmetric and alternating groups; Constant (computer programming); 3-manifold; Group (periodic table); Hyperbolic manifold; Combinatorics; Mathematical analysis; Hyperbolic function","score_opus":0.02419711345246535,"score_gpt":0.27811873181627456,"score_spread":0.2539216183638092,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963863932","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95862114,0.00055975304,0.03015298,0.0013435484,0.000070621136,0.00040932672,0.00002385946,0.00006826877,0.008750523],"genre_scores_gemma":[0.9962879,0.00006434961,0.0029512255,0.0000802115,0.00005425932,0.0000645179,0.0000070677934,0.0000099538465,0.00048052007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992102,0.000054224598,0.00032987806,0.00017799593,0.000068187466,0.00015954502],"domain_scores_gemma":[0.99872595,0.00066581566,0.00020119872,0.0002803922,0.00007511798,0.00005151884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023467891,0.00009672238,0.00032363317,0.00014333204,0.000072401745,0.0000017160933,0.00016555245,0.00014403004,0.00032159223],"category_scores_gemma":[0.00020321883,0.00008728678,0.00004541423,0.00026787355,0.00021862013,0.000027986716,0.00006206338,0.00009275092,0.000023646795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004042217,0.000109291796,0.0008827724,0.00006048863,0.000022748185,1.05106174e-7,0.00013039107,3.8712392e-7,0.0023126907,0.99389607,0.00037351876,0.0022074736],"study_design_scores_gemma":[0.000647214,0.00022590255,0.014210809,0.000009328696,0.00011081604,0.000039874405,0.00017058609,0.00023756904,0.009640403,0.963051,0.011497327,0.00015915676],"about_ca_topic_score_codex":0.0000270468,"about_ca_topic_score_gemma":0.000012852545,"teacher_disagreement_score":0.037666775,"about_ca_system_score_codex":0.000004736987,"about_ca_system_score_gemma":0.000014892967,"threshold_uncertainty_score":0.35594517},"labels":[],"label_agreement":null},{"id":"W2963880336","doi":"10.48550/arxiv.1603.02380","title":"Combinatorial decompositions, Kirillov-Reshetikhin invariants and the\\n Volume Conjecture for hyperbolic polyhedra","year":2016,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science; Waseda University; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Polyhedron; Mathematics; Conjecture; Polytope; Combinatorics; Graph; Volume (thermodynamics); Tetrahedron; Decomposition; Pure mathematics; Geometry","score_opus":0.051767182297640546,"score_gpt":0.20062152942870218,"score_spread":0.14885434713106163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963880336","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90963656,0.00010852493,0.08338451,0.003214673,0.0006976066,0.0006331864,0.000054108357,0.00011250008,0.002158365],"genre_scores_gemma":[0.9967852,0.000051271258,0.00033061297,0.00018292904,0.00013074516,0.0000021834874,0.0000024882631,0.000017418002,0.0024971096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990528,0.00012523404,0.0001547122,0.000332564,0.000047951104,0.00028673865],"domain_scores_gemma":[0.9981316,0.001258282,0.00011642039,0.00032021033,0.00006929711,0.0001042316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027778067,0.00015963576,0.00028748647,0.00013975224,0.0002512792,0.000022308352,0.00027255912,0.00014200981,0.00015210603],"category_scores_gemma":[0.0004076745,0.00010403281,0.00011153955,0.00029427098,0.00043011628,0.0001291337,0.00011971685,0.000093351395,0.00004117431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023120391,0.000053034255,0.0015320847,0.000013588002,0.00007014793,0.000013373299,0.00008047369,0.000004172044,0.000058042413,0.99461854,0.0029195524,0.00040581133],"study_design_scores_gemma":[0.008077443,0.000121117286,0.00075202086,0.000020292046,0.00014130586,0.00002291525,0.000118106014,0.00068033225,0.00010679908,0.98412937,0.0056286077,0.00020172076],"about_ca_topic_score_codex":0.000044748045,"about_ca_topic_score_gemma":0.000020125453,"teacher_disagreement_score":0.08714871,"about_ca_system_score_codex":0.00004553134,"about_ca_system_score_gemma":0.000043548713,"threshold_uncertainty_score":0.4242335},"labels":[],"label_agreement":null},{"id":"W2963881393","doi":"10.1515/crll.2003.077","title":"The residue formula and the Tolman-Weitsman theorem","year":2003,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Residue (chemistry); Mathematics; Mathematical economics; Chemistry; Organic chemistry","score_opus":0.018134180217497856,"score_gpt":0.29382586972449193,"score_spread":0.2756916895069941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963881393","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06766057,0.8118118,0.020566048,0.04709357,0.0066711884,0.002120494,0.000037573776,0.00012835639,0.0439104],"genre_scores_gemma":[0.3667523,0.5600747,0.009905442,0.0015318042,0.007864524,0.00005258603,0.000005562695,0.000550812,0.05326226],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9902392,0.0025541896,0.00312217,0.0005771322,0.0016272445,0.0018800596],"domain_scores_gemma":[0.98414934,0.009472968,0.0034684935,0.0012281858,0.00077646336,0.00090452714],"candidate_categories":["metaresearch","metaepi_narrow","sts","scholarly_communication","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.014589999,0.0011542919,0.0018956808,0.0006459201,0.0065322486,0.0026774246,0.001664282,0.0005433224,0.0006533121],"category_scores_gemma":[0.009082547,0.0005554967,0.001238828,0.000906748,0.001780895,0.0004929993,0.0004109322,0.0040336866,0.00023431213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059921155,0.00038899676,0.00009852263,0.00034469215,0.0034501506,0.00076817034,0.0066359257,0.000026518615,0.000058106725,0.93566537,0.0410376,0.010926737],"study_design_scores_gemma":[0.005568559,0.00038993426,0.000026190999,0.0006979982,0.0017555214,0.010790498,0.005798195,0.00020065578,0.0005885811,0.6824832,0.29110295,0.0005977375],"about_ca_topic_score_codex":0.00001437907,"about_ca_topic_score_gemma":0.00005541086,"teacher_disagreement_score":0.29909173,"about_ca_system_score_codex":0.0002578901,"about_ca_system_score_gemma":0.00048268985,"threshold_uncertainty_score":0.99968964},"labels":[],"label_agreement":null},{"id":"W2963910445","doi":"10.1007/s00208-020-02001-9","title":"Hyperfiniteness of boundary actions of hyperbolic groups","year":2020,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Narodowym Centrum Nauki; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Fonds De La Recherche Scientifique - FNRS","keywords":"Boundary (topology); Action (physics); Relatively hyperbolic group; Equivalence (formal languages); Hyperbolic group; Finitely-generated abelian group; Group (periodic table); Hyperbolic manifold","score_opus":0.1668727309754706,"score_gpt":0.3322957573871274,"score_spread":0.16542302641165682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963910445","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9776138,0.00045812613,0.007830282,0.0015031542,0.00007396343,0.00020739489,0.000044541695,0.00007803251,0.012190697],"genre_scores_gemma":[0.9865239,0.00004438008,0.0127183655,0.00015879505,0.00008773654,0.000013932639,0.0000045811953,0.000029602003,0.00041867697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987452,0.000058712805,0.00054011703,0.0001943504,0.00025225023,0.00020939042],"domain_scores_gemma":[0.99864167,0.00048025823,0.00033003354,0.0003224876,0.00012454826,0.00010101436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002298438,0.00015590404,0.0005591659,0.00014833767,0.000053190666,0.000007706109,0.00030210207,0.00010477704,0.0007236423],"category_scores_gemma":[0.00086251064,0.00013501612,0.00016086214,0.0006455313,0.00017587467,0.00009946485,0.00011655628,0.00015308375,0.000072969735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011533872,0.0012598435,0.0043611918,0.004440799,0.00067287334,0.000025301932,0.015036454,0.00001242959,0.029827813,0.90769374,0.023093494,0.013460746],"study_design_scores_gemma":[0.002656078,0.0010793706,0.008202867,0.00037716405,0.00063600944,0.00018890144,0.005783493,0.00073228375,0.09540901,0.8457195,0.038192913,0.001022388],"about_ca_topic_score_codex":0.000009571964,"about_ca_topic_score_gemma":0.0000016976255,"teacher_disagreement_score":0.0655812,"about_ca_system_score_codex":0.000005938042,"about_ca_system_score_gemma":0.00005903527,"threshold_uncertainty_score":0.79233754},"labels":[],"label_agreement":null},{"id":"W2963962124","doi":"10.1142/s0218216510008431","title":"FIBERED TORTI-RATIONAL KNOTS","year":2010,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Fibered knot; Mathematics; Knot (papermaking); Genus; Knot theory; Combinatorics; Dehn surgery; Pure mathematics; Alexander polynomial; Botany; Biology","score_opus":0.029019976836455345,"score_gpt":0.3135741139361149,"score_spread":0.28455413709965954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963962124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98754877,0.0003384683,0.0069778445,0.0018036807,0.00053170486,0.00008760465,0.000009874775,0.000015236922,0.0026868267],"genre_scores_gemma":[0.99361044,0.000043760567,0.0031578012,0.00009404822,0.00030651627,0.0000025220502,0.0000017549039,0.000008185183,0.002774971],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991641,0.00010488744,0.0003976366,0.00008336447,0.00013764117,0.00011234944],"domain_scores_gemma":[0.9979974,0.0011870771,0.0003196309,0.00013833644,0.00025367195,0.00010385209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010449956,0.000079050624,0.00016779779,0.0001797518,0.00014775775,0.00002472429,0.00015356221,0.0000874773,0.00082560576],"category_scores_gemma":[0.0026271623,0.00006114085,0.000069476635,0.00018796966,0.00008435076,0.00015448769,0.000019983636,0.00031320006,0.000023578159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023215376,0.00011649096,0.00008108169,0.000009069943,0.000036362475,0.000001962065,0.0003274076,0.0000010100597,0.007964732,0.9869399,0.0014848412,0.0030139107],"study_design_scores_gemma":[0.0004233951,0.00008399238,0.009051894,0.00001198238,0.0000748368,0.0002935674,0.00029714854,0.000044913195,0.0016824275,0.97326285,0.014667304,0.000105711064],"about_ca_topic_score_codex":2.534043e-7,"about_ca_topic_score_gemma":0.0000023592788,"teacher_disagreement_score":0.013677089,"about_ca_system_score_codex":0.0000075076814,"about_ca_system_score_gemma":0.00008400368,"threshold_uncertainty_score":0.90398043},"labels":[],"label_agreement":null},{"id":"W2964032826","doi":"10.1017/s0305004116000761","title":"The A-T-menability of some graphs of groups with cyclic edge groups","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Combinatorics; Vertex (graph theory); Mathematics; Enhanced Data Rates for GSM Evolution; Cyclic group; Group (periodic table); Graph; Computer science; Physics; Telecommunications; Abelian group","score_opus":0.02328595401721643,"score_gpt":0.25179342292525925,"score_spread":0.22850746890804283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964032826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97728324,0.00009443901,0.00054573995,0.018529925,0.00007616319,0.00070766464,0.0000300597,0.00005626173,0.0026765096],"genre_scores_gemma":[0.9974328,0.00004070615,0.0020394614,0.00010628473,0.00012682992,0.000047068454,2.9702966e-7,0.000041858322,0.00016468125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99688554,0.00004263127,0.0011963045,0.00040985676,0.0009381054,0.00052759313],"domain_scores_gemma":[0.9951415,0.002701552,0.0009631617,0.00055834994,0.00048226834,0.0001531397],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0017016693,0.00034543403,0.0009407408,0.000050321403,0.00021367973,0.000015701671,0.0011637036,0.00027243077,0.000028405102],"category_scores_gemma":[0.0025641993,0.00014072347,0.0008060143,0.0007798338,0.003337945,0.00017790376,0.00051915046,0.00038072834,0.000005034589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008105737,0.0005279411,0.0015024246,0.0010677148,0.0002124622,1.5400774e-7,0.00027219192,5.2061775e-8,0.006958652,0.9878333,0.0013083542,0.00023566495],"study_design_scores_gemma":[0.0008563063,0.00028199086,0.0024203716,0.00029079017,0.00017886682,0.000019005205,0.0003065962,0.000027706315,0.013490057,0.98190004,0.000036229325,0.0001920171],"about_ca_topic_score_codex":0.000002864515,"about_ca_topic_score_gemma":1.9993314e-7,"teacher_disagreement_score":0.020149576,"about_ca_system_score_codex":0.00006958526,"about_ca_system_score_gemma":0.000048905076,"threshold_uncertainty_score":0.9993744},"labels":[],"label_agreement":null},{"id":"W2964038452","doi":"10.1090/fic/047/06","title":"Invariants of knots, embeddings and immersions via contact geometry","year":2005,"lang":"en","type":"other","venue":"","topic":"Geometric and Algebraic Topology","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":"McMaster University; National Science Foundation","keywords":"Geometry; Mathematics; Pure mathematics","score_opus":0.020476867716747938,"score_gpt":0.29101793973551093,"score_spread":0.270541072018763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964038452","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0018098009,0.0013184285,0.0064032082,0.00018484022,0.00023929922,0.00029470504,0.000052737185,0.00011916112,0.98957783],"genre_scores_gemma":[0.034998965,0.0003277477,0.012074817,0.00016001303,0.00019121924,0.0000046310283,0.000011501815,0.0002294209,0.9520017],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9989858,0.000027870628,0.0003086671,0.00026617615,0.00016400317,0.00024744862],"domain_scores_gemma":[0.99891454,0.00034353606,0.00030961866,0.00030907642,0.000024944537,0.000098292316],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001467128,0.00023663092,0.0006211665,0.0008242542,0.000024745663,0.000007162031,0.00017415786,0.00043170108,0.04583624],"category_scores_gemma":[0.00024569503,0.00019265247,0.00008322401,0.00035322725,0.00009749388,0.00002478186,0.00012890283,0.00018615549,0.0001279098],"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":[0.0000062428035,0.00015150731,0.0003629769,0.00026430635,0.00028202205,0.00000775377,0.000103045786,1.8457435e-8,0.00010987291,0.12005022,0.8699433,0.008718728],"study_design_scores_gemma":[0.0020202105,0.00025266095,0.0013487514,0.00039682756,0.00043126667,0.00011028588,0.00050876307,0.00003249037,0.0003631874,0.026574401,0.9670204,0.0009407862],"about_ca_topic_score_codex":0.00036176833,"about_ca_topic_score_gemma":0.00006701685,"teacher_disagreement_score":0.09707707,"about_ca_system_score_codex":0.000015274514,"about_ca_system_score_gemma":0.000032257947,"threshold_uncertainty_score":0.955036},"labels":[],"label_agreement":null},{"id":"W2964044247","doi":"10.1016/j.topol.2011.09.035","title":"On zeros of the Alexander polynomial of an alternating knot","year":2011,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Alexander polynomial; Knot polynomial; Knot (papermaking); Jones polynomial; Knot theory; HOMFLY polynomial; Combinatorics; Polynomial; Trefoil knot; Pure mathematics; Discrete mathematics; Knot invariant; Mathematical analysis; Matrix polynomial; Square-free polynomial","score_opus":0.06636817495172896,"score_gpt":0.30934809326245183,"score_spread":0.24297991831072285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964044247","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9882957,0.000057612233,0.0010346388,0.0001844248,0.00004613123,0.00020953454,0.000011097398,0.000012034903,0.010148867],"genre_scores_gemma":[0.99837875,0.000007671036,0.00085894775,0.000082002945,0.000031849955,0.000030178833,9.565562e-7,0.000005431156,0.0006041914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995109,0.000039213053,0.00019293508,0.0001149444,0.000046642526,0.00009536603],"domain_scores_gemma":[0.99931365,0.00023419298,0.00015390394,0.00023595068,0.000035614492,0.000026681955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010977526,0.000059024358,0.00013576583,0.00005742356,0.000080649595,8.5349603e-7,0.0001724332,0.00007595843,0.00035144098],"category_scores_gemma":[0.00010311805,0.00004124572,0.000029266203,0.00012004623,0.00020761085,0.000021111522,0.000050598395,0.00008291896,0.000004506656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010897485,0.00016796184,0.00066008756,0.0000152471775,0.00001878933,8.56785e-8,0.00051142776,4.8642966e-7,0.0013001675,0.99533576,0.00012357715,0.0018555322],"study_design_scores_gemma":[0.00086007034,0.0003946525,0.027960993,0.000014771861,0.00009640987,0.000031934578,0.0006468117,0.00010153105,0.103392944,0.86541724,0.00091030094,0.0001723571],"about_ca_topic_score_codex":0.000047128116,"about_ca_topic_score_gemma":0.000010841351,"teacher_disagreement_score":0.12991852,"about_ca_system_score_codex":0.0000033363256,"about_ca_system_score_gemma":0.000015607045,"threshold_uncertainty_score":0.3848032},"labels":[],"label_agreement":null},{"id":"W2964071325","doi":"10.1007/s00208-019-01823-6","title":"Metric systolicity and two-dimensional Artin groups","year":2019,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Narodowe Centrum Nauki; Max-Planck-Gesellschaft; McGill University","keywords":"Mathematics; Conjugacy class; Rigidity (electromagnetism); Pure mathematics; Artin group; Combinatorics; Finitely-generated abelian group; Coxeter group","score_opus":0.02951281659713164,"score_gpt":0.2936672754979856,"score_spread":0.264154458900854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964071325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98582375,0.00052205456,0.0009158094,0.00048314914,0.00013237582,0.00035941452,0.000008784733,0.00012585166,0.011628803],"genre_scores_gemma":[0.98188806,0.000007448582,0.011132741,0.00025112994,0.0000852296,0.000020545333,0.000003980376,0.000033528908,0.006577323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984161,0.00009001555,0.00040452235,0.0003596603,0.00034108185,0.00038856734],"domain_scores_gemma":[0.9982794,0.00088287296,0.00020310257,0.00042434607,0.00007504136,0.00013523316],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007318388,0.00022799309,0.00050286046,0.0003724382,0.00008538214,0.000034617962,0.00020141558,0.000113768445,0.0014398772],"category_scores_gemma":[0.0005582558,0.00018438815,0.00009751607,0.00061932753,0.00007480092,0.00013592753,0.00020195109,0.00021900224,0.0010152948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045094297,0.00052161363,0.012795367,0.0010652983,0.0003095588,0.00004575731,0.0014572203,0.000022114698,0.0017481513,0.9483989,0.027803147,0.0057877977],"study_design_scores_gemma":[0.0024914069,0.00030452092,0.012701561,0.00020587092,0.00017944007,0.00068453874,0.00039645674,0.0024618246,0.002342656,0.9736388,0.0037290987,0.0008638669],"about_ca_topic_score_codex":0.000022102146,"about_ca_topic_score_gemma":0.0000048794986,"teacher_disagreement_score":0.025239881,"about_ca_system_score_codex":0.000019329096,"about_ca_system_score_gemma":0.00002499753,"threshold_uncertainty_score":0.99976254},"labels":[],"label_agreement":null},{"id":"W2964087655","doi":"10.1142/s0218216510008418","title":"EVALUATIONS OF THE TWISTED ALEXANDER POLYNOMIALS OF 2-BRIDGE KNOTS AT ±1","year":2010,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Mathematics; Epimorphism; Combinatorics; Knot (papermaking); Alexander polynomial; Knot theory","score_opus":0.0527234666322192,"score_gpt":0.3492095400248801,"score_spread":0.29648607339266086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964087655","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9951993,0.0004167176,0.0014009064,0.0010580751,0.00032431728,0.0001630051,0.00002795959,0.0000043803343,0.001405303],"genre_scores_gemma":[0.99674547,0.000046353955,0.00045417182,0.000039937247,0.00008119814,0.0000025586132,9.678284e-7,0.000008476874,0.0026208956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867064,0.0002846434,0.0006605299,0.000078959645,0.00020217481,0.00010307609],"domain_scores_gemma":[0.9964684,0.0018341574,0.00090875966,0.00028819844,0.00043885724,0.00006158329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018277423,0.00008450098,0.00027483876,0.00018374666,0.0001385851,0.000006309222,0.0002625497,0.00009072607,0.0006583987],"category_scores_gemma":[0.004255226,0.0000539223,0.00014034587,0.0003329567,0.0002469713,0.000076100965,0.000056248093,0.00022740851,0.0000041706608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005904349,0.00027689378,0.00084054907,0.00004635232,0.0001222279,3.016007e-7,0.0012185347,0.000008655211,0.110193625,0.88394785,0.001631093,0.0016548819],"study_design_scores_gemma":[0.0019041317,0.00023367647,0.28866732,0.00011763302,0.00078805524,0.00033858197,0.0008016514,0.00013857709,0.08241064,0.61972976,0.0046377336,0.00023222661],"about_ca_topic_score_codex":0.0000013826598,"about_ca_topic_score_gemma":0.0000075244775,"teacher_disagreement_score":0.28782678,"about_ca_system_score_codex":0.00001273508,"about_ca_system_score_gemma":0.00012562913,"threshold_uncertainty_score":0.7209004},"labels":[],"label_agreement":null},{"id":"W2964091706","doi":"10.4153/cmb-2017-021-5","title":"The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Twist; Torsion (gastropod); Knot (papermaking); Pure mathematics; Graph; Combinatorics; Geometry; Surgery","score_opus":0.04681096774014356,"score_gpt":0.2916010103786062,"score_spread":0.24479004263846263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964091706","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8416813,0.00023334849,0.0014642618,0.12685467,0.0024630174,0.001591477,0.00021217907,0.000057550315,0.025442168],"genre_scores_gemma":[0.9753057,0.0000027575911,0.0022508192,0.00044932438,0.00020191321,0.000035249708,0.0000046531345,0.00003141935,0.021718174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985228,0.00006882532,0.000471803,0.00020096051,0.0002964164,0.00043917415],"domain_scores_gemma":[0.99630225,0.002170379,0.00030721218,0.0008342461,0.00016474277,0.0002211785],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077371264,0.00017014143,0.00030356503,0.000055406555,0.001230622,0.000092809154,0.00066747086,0.00014677481,0.0039787875],"category_scores_gemma":[0.004718734,0.000097134915,0.00021726167,0.000059497346,0.0007834831,0.000026949321,0.00014734048,0.0001572113,0.00029452232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013436149,0.000034993776,0.0006572212,0.000087931156,0.000041235176,0.0000029422627,0.00006279315,7.331997e-7,0.00001561867,0.8688059,0.12985444,0.00042274452],"study_design_scores_gemma":[0.00036380786,0.000036969173,0.014824841,0.00010943026,0.00006172096,0.00002246612,0.000072054594,0.000052594783,0.00015203712,0.7107146,0.2733944,0.00019510774],"about_ca_topic_score_codex":0.00035951877,"about_ca_topic_score_gemma":0.0010547363,"teacher_disagreement_score":0.15809134,"about_ca_system_score_codex":0.00008106839,"about_ca_system_score_gemma":0.00018423313,"threshold_uncertainty_score":0.99693173},"labels":[],"label_agreement":null},{"id":"W2964096222","doi":"10.48550/arxiv.1602.03287","title":"On the autonomous norm on the group of Hamiltonian diffeomorphisms of\\n the torus","year":2016,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Torus; Mathematical proof; Norm (philosophy); Hamiltonian system; Pure mathematics; Hamiltonian (control theory); Mathematical analysis; Geometry","score_opus":0.06478348248259706,"score_gpt":0.1720446415932472,"score_spread":0.10726115911065014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964096222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98106396,0.00004033551,0.003217148,0.0040496932,0.00067773875,0.00068455696,0.0000699284,0.000028244733,0.010168417],"genre_scores_gemma":[0.9880735,0.00011657854,0.000013626876,0.0004192257,0.000064633095,0.000001313391,4.3166972e-7,0.00003347567,0.011277192],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976167,0.0005433836,0.0004830842,0.000563377,0.00023655039,0.00055690075],"domain_scores_gemma":[0.9909159,0.0059565287,0.0008397447,0.0020393655,0.00013731318,0.00011112487],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000704864,0.00040910224,0.0005399266,0.00022601285,0.0004753726,0.000016062,0.0019422222,0.00026995537,0.0017790004],"category_scores_gemma":[0.0009314895,0.0001796041,0.00052708655,0.0013546954,0.0017355633,0.000084501226,0.00052355445,0.00043512718,0.00022652351],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014696112,0.00051638775,0.0017924154,0.00003459439,0.00022690774,0.000021042508,0.0004805989,0.0001265624,0.0005196289,0.99420977,0.0011004098,0.0008247016],"study_design_scores_gemma":[0.004324649,0.0026589532,0.043325853,0.0009183602,0.0010395825,0.00002319243,0.0032289498,0.0033614293,0.012292022,0.9230446,0.004715182,0.0010672293],"about_ca_topic_score_codex":0.00012749377,"about_ca_topic_score_gemma":0.000080661644,"teacher_disagreement_score":0.07116519,"about_ca_system_score_codex":0.00021082358,"about_ca_system_score_gemma":0.00013189776,"threshold_uncertainty_score":0.9991335},"labels":[],"label_agreement":null},{"id":"W2964125935","doi":"10.1142/s1793525319500146","title":"Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group","year":2017,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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; Combinatorics; Isomorphism (crystallography); Metric space; Upper and lower bounds; Group (periodic table); Space (punctuation); Discrete mathematics; Mathematical analysis","score_opus":0.030619018942176106,"score_gpt":0.332839698266218,"score_spread":0.3022206793240419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964125935","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9964008,0.00043109915,0.0016341562,0.0011162194,0.0000652296,0.000044262786,0.000015883721,6.90414e-7,0.00029166476],"genre_scores_gemma":[0.9980075,0.00015992945,0.0016059768,0.000004228692,0.000029196517,3.7461672e-7,4.3937496e-7,0.0000022119018,0.00019015805],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9990728,0.00010685941,0.0005727425,0.00005977103,0.000121113626,0.00006674021],"domain_scores_gemma":[0.996992,0.0007003362,0.0019138358,0.00020854855,0.00015943636,0.000025834175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041372667,0.000058730006,0.0006135586,0.00033542822,0.00008860071,0.000004428488,0.00018646636,0.00007406381,0.00008358939],"category_scores_gemma":[0.0010873565,0.00003730485,0.000243848,0.00025479222,0.0005043235,0.000067002125,0.00005971576,0.0000784053,2.660454e-8],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000116276264,0.00023972796,0.87597024,0.000110303874,0.0026346624,0.0000017442886,0.0011293839,0.000047549784,0.0034326836,0.11536446,0.00017891722,0.00077401777],"study_design_scores_gemma":[0.0013227494,0.00022927327,0.90250045,0.000023399558,0.003202178,0.000016010268,0.0014888314,0.00020590702,0.004034809,0.08690176,0.000023586575,0.00005102353],"about_ca_topic_score_codex":0.000097654956,"about_ca_topic_score_gemma":0.00012636578,"teacher_disagreement_score":0.028462704,"about_ca_system_score_codex":0.0000019481838,"about_ca_system_score_gemma":0.00002838045,"threshold_uncertainty_score":0.1858201},"labels":[],"label_agreement":null},{"id":"W2964168372","doi":"10.1017/is010005021jkt118","title":"The full orbifold <i>K</i>-theory of abelian symplectic quotients","year":2010,"lang":"en","type":"article","venue":"Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Orbifold; Mathematics; Symplectic geometry; Pure mathematics; Abelian group; Quantum cohomology; Cohomology; K-theory (physics); Quotient; Algebra over a field; Equivariant cohomology","score_opus":0.01563424383122279,"score_gpt":0.29027739011245574,"score_spread":0.27464314628123293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964168372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9612283,0.0029547769,0.031503543,0.0019348285,0.00062564685,0.0005788242,0.000026309695,0.000031693184,0.0011160959],"genre_scores_gemma":[0.99575853,0.00044464594,0.0014229807,0.00048762697,0.00033670987,0.000051882154,0.0000020227797,0.0000389913,0.0014566319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967565,0.00083242,0.0011842665,0.0003935268,0.00028468008,0.000548601],"domain_scores_gemma":[0.9873898,0.010190453,0.00094630616,0.0005829661,0.0004864664,0.00040397997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0071032667,0.00033881597,0.00073078304,0.0009065647,0.00061245303,0.000052727948,0.00069467374,0.00033920642,0.000545615],"category_scores_gemma":[0.0051869275,0.0002364309,0.00018361428,0.0012118195,0.0009734579,0.00018935442,0.00024457567,0.0008518869,0.000027851745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00058599055,0.00024763314,0.00029034866,0.00007773815,0.00023745172,0.0000050721137,0.0005471709,8.7638875e-7,0.0055625513,0.96200806,0.00030269375,0.0301344],"study_design_scores_gemma":[0.0007464082,0.0007096582,0.0009405701,0.000025050036,0.00025245032,0.0008546514,0.0018686412,0.0000028610145,0.0036255685,0.9765807,0.014141103,0.0002523758],"about_ca_topic_score_codex":0.0000015652358,"about_ca_topic_score_gemma":0.000008205106,"teacher_disagreement_score":0.034530226,"about_ca_system_score_codex":0.000021415404,"about_ca_system_score_gemma":0.0001157826,"threshold_uncertainty_score":0.96413726},"labels":[],"label_agreement":null},{"id":"W2964189267","doi":"10.1016/j.topol.2013.08.014","title":"Extending finite group actions on surfaces over<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>","year":2013,"lang":"lv","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; Peking University; Centre de Recherches Mathématiques","keywords":"Mathematics; Homogeneous space; Abelian group; Embedding; Combinatorics; Order (exchange); Group (periodic table); Discrete mathematics; Geometry; Artificial intelligence; Computer science; Physics","score_opus":0.025043342000245092,"score_gpt":0.2641735618235947,"score_spread":0.2391302198233496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964189267","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60376394,0.001686556,0.0018671779,0.0020531276,0.0014528859,0.00009556812,0.00034782826,0.00022869007,0.38850424],"genre_scores_gemma":[0.98729736,0.0025481386,0.002359464,0.001553421,0.0013710366,0.0020878075,0.0007643361,0.00037436734,0.0016440696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99380493,0.000330413,0.0014508752,0.001504889,0.001034877,0.0018739937],"domain_scores_gemma":[0.99239296,0.0033264738,0.0014535976,0.001896124,0.0001546373,0.000776208],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010434312,0.0007113202,0.00038105322,0.0006025685,0.0022135058,0.0006344207,0.001361232,0.0022262183,0.36672828],"category_scores_gemma":[0.0014774285,0.0012170756,0.0009027115,0.0012067076,0.0017278831,0.0009494567,0.0011828231,0.0015424055,0.0051150243],"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":[0.00025504173,0.0004329442,0.000018808016,0.00055979076,0.0009067679,0.00014614135,0.0012778692,0.00030023637,0.0010807583,0.8609279,0.1319379,0.00215584],"study_design_scores_gemma":[0.004115303,0.0036520665,0.0012607176,0.0008891046,0.0033782849,0.0027736586,0.008211593,0.14217065,0.774578,0.005632976,0.05007376,0.0032639315],"about_ca_topic_score_codex":0.0013487921,"about_ca_topic_score_gemma":0.00063425157,"teacher_disagreement_score":0.85529494,"about_ca_system_score_codex":0.000016996708,"about_ca_system_score_gemma":0.00065273145,"threshold_uncertainty_score":0.9990855},"labels":[],"label_agreement":null},{"id":"W2964219042","doi":"10.1142/s0218216518500153","title":"Twisted Alexander polynomials of 2-bridge knots associated to dihedral representations","year":2017,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Combinatorics","score_opus":0.09373942225171515,"score_gpt":0.3916679609002943,"score_spread":0.29792853864857916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964219042","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98603237,0.00024085866,0.0071630985,0.0026245476,0.00029493103,0.0001938646,0.00004592107,0.000011886917,0.0033925117],"genre_scores_gemma":[0.9949037,0.0000514569,0.00053207256,0.00006974166,0.00011595024,0.0000040618215,0.000002560507,0.00001156566,0.0043089315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99866825,0.00025091227,0.0006345397,0.000121093806,0.00017017424,0.00015501869],"domain_scores_gemma":[0.9966272,0.0013548168,0.0010870344,0.0003748961,0.00041722402,0.00013879812],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.001466276,0.00010205053,0.00035622827,0.0002738296,0.00034872736,0.000051366205,0.00035475378,0.00008700211,0.00022270017],"category_scores_gemma":[0.012287973,0.000084505264,0.00011629724,0.00017866764,0.00013643867,0.000212238,0.00006861173,0.00015987841,0.0000098292685],"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":[0.00016413516,0.0006215191,0.0030827094,0.000041436302,0.00040529575,0.000007801094,0.0028645392,0.000020381045,0.012058361,0.96941745,0.007827087,0.0034892792],"study_design_scores_gemma":[0.0018805093,0.00033403822,0.59220886,0.00014407687,0.0004336205,0.00010624498,0.001088254,0.00006954083,0.0064921076,0.3951202,0.0018478326,0.0002747127],"about_ca_topic_score_codex":0.0000072588505,"about_ca_topic_score_gemma":0.0000070761084,"teacher_disagreement_score":0.58912617,"about_ca_system_score_codex":0.000023664232,"about_ca_system_score_gemma":0.00008212042,"threshold_uncertainty_score":0.99603194},"labels":[],"label_agreement":null},{"id":"W2964254004","doi":"10.1017/fms.2014.23","title":"Random groups and nonarchimedean lattices","year":2014,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Rank (graph theory); Mathematics; Novelty; Algebraic number; Group (periodic table); Combinatorics; Physics; Psychology; Social psychology; Mathematical analysis","score_opus":0.02072635521784732,"score_gpt":0.26948271412370983,"score_spread":0.2487563589058625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964254004","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87807256,0.0001791859,0.10018712,0.0010580304,0.0001487651,0.00035855715,0.000008759253,0.000099166115,0.019887844],"genre_scores_gemma":[0.9283471,0.000016552194,0.07079532,0.00006512381,0.000054226526,0.00001066839,0.0000021355668,0.000028250332,0.00068059046],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868906,0.00006305259,0.0004882832,0.00019204558,0.00025715274,0.000310395],"domain_scores_gemma":[0.99655414,0.0026255827,0.00029893077,0.00037233828,0.000052121304,0.00009687145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083212537,0.00017659718,0.0005385533,0.0001826913,0.000080048725,0.000017216134,0.0002294175,0.00009981686,0.00016684952],"category_scores_gemma":[0.001561237,0.00013935822,0.00009476274,0.00018116542,0.00019550635,0.00006557006,0.00014268876,0.00011635587,0.000022491226],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018630648,0.00028291668,0.001135737,0.0007019859,0.00007430546,0.0000016280703,0.0015193303,0.0000021043618,0.00025379568,0.9898722,0.0016926347,0.0044447174],"study_design_scores_gemma":[0.0015238901,0.00020186171,0.00023082904,0.00008017089,0.000076927,0.00003543683,0.001219112,0.0025346908,0.001029047,0.99162173,0.0012616098,0.00018468272],"about_ca_topic_score_codex":0.000007526813,"about_ca_topic_score_gemma":0.000013774921,"teacher_disagreement_score":0.050274566,"about_ca_system_score_codex":0.0000066941448,"about_ca_system_score_gemma":0.00001238184,"threshold_uncertainty_score":0.56828636},"labels":[],"label_agreement":null},{"id":"W2964305217","doi":"10.1093/qmath/har031","title":"ON CERTAIN 5-MANIFOLDS WITH FUNDAMENTAL GROUP OF ORDER 2","year":2011,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Division of Mathematical Sciences; McMaster University","keywords":"Order (exchange); China; Library science; Mathematics; Mathematics education; Political science; Computer science; Law; Economics","score_opus":0.04195412402086953,"score_gpt":0.2672807500818392,"score_spread":0.22532662606096968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964305217","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9726084,0.000072132,0.022633193,0.00013318013,0.00013484622,0.0001737671,0.0000032479127,0.000013721152,0.004227536],"genre_scores_gemma":[0.9581601,0.0000065047907,0.04146853,0.000051738552,0.000057883026,0.0000022800755,2.5470433e-7,0.000028740444,0.00022395691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835217,0.00009742568,0.0007667788,0.00008662058,0.00046675495,0.00023026387],"domain_scores_gemma":[0.9974032,0.0008850609,0.0010795526,0.00036884396,0.00018855097,0.00007477803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009452028,0.00018642767,0.00048913347,0.0002115929,0.00006371994,0.000013347707,0.0004745211,0.000070827125,0.0005339978],"category_scores_gemma":[0.00013845866,0.00009592627,0.00013316555,0.00031749418,0.00018162066,0.000086818145,0.00001695886,0.0002629438,0.000022843773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002663063,0.002685871,0.00024046634,0.000314179,0.00057725323,0.000098472105,0.044730246,0.0000028670609,0.0002026123,0.94505304,0.0018939542,0.0039347457],"study_design_scores_gemma":[0.0014486499,0.008491406,0.00032836085,0.00025501396,0.000279499,0.0011515457,0.023026004,0.000060454397,0.0004981286,0.9641923,0.00007563067,0.00019300917],"about_ca_topic_score_codex":0.000009793373,"about_ca_topic_score_gemma":0.000009757295,"teacher_disagreement_score":0.021704243,"about_ca_system_score_codex":0.000026122458,"about_ca_system_score_gemma":0.000042230517,"threshold_uncertainty_score":0.5846901},"labels":[],"label_agreement":null},{"id":"W2964305890","doi":"10.5186/aasfm.2010.3522","title":"Hopf decomposition and horospheric limit sets","year":2010,"lang":"en","type":"article","venue":"Annales Academiae Scientiarum Fennicae Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Canada Research Chairs","keywords":"Limit (mathematics); Mathematics; Decomposition; Pure mathematics; Mathematical analysis; Chemistry","score_opus":0.031018205103223583,"score_gpt":0.3401120983256434,"score_spread":0.3090938932224198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964305890","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98123145,0.00040698372,0.0047389865,0.0041892873,0.00055121194,0.00045219777,0.000016161084,0.0002691934,0.008144499],"genre_scores_gemma":[0.9376934,0.00009892529,0.059026774,0.00048395115,0.00014645579,0.000042527096,0.000008663272,0.000051165982,0.002448122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972968,0.00008096824,0.00065453455,0.0006344854,0.0005141826,0.0008190054],"domain_scores_gemma":[0.9977074,0.00085882004,0.00032043204,0.00063395064,0.000113116184,0.00036626784],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015246194,0.00033597043,0.00051628496,0.00024966573,0.00044879667,0.0001394056,0.0006063457,0.00047107163,0.0010813408],"category_scores_gemma":[0.0012817421,0.00028423328,0.0001600385,0.0008381089,0.0006440195,0.0002975917,0.0004216383,0.0009799937,0.00036856465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025682863,0.00052386924,0.0012736634,0.00046481268,0.0001381263,0.000025925758,0.001515068,8.3735046e-7,0.022807674,0.87951106,0.08294048,0.010772826],"study_design_scores_gemma":[0.00069729495,0.00012586876,0.0042213267,0.00009508057,0.00016218741,0.00050370715,0.00036809916,0.0012845695,0.0032848103,0.9698617,0.018764667,0.00063070277],"about_ca_topic_score_codex":0.0000037092036,"about_ca_topic_score_gemma":0.00001727706,"teacher_disagreement_score":0.09035065,"about_ca_system_score_codex":0.000017928956,"about_ca_system_score_gemma":0.000055667966,"threshold_uncertainty_score":0.99996096},"labels":[],"label_agreement":null},{"id":"W2964343950","doi":"10.1134/s0081543817060207","title":"Discs in hulls of real immersions into Stein manifolds","year":2017,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Hull; Mathematics; Stein manifold; Mathematical economics; Pure mathematics; Geology; Oceanography","score_opus":0.03895995097392874,"score_gpt":0.30849304051370013,"score_spread":0.2695330895397714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964343950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96821535,0.00003171652,0.0001461204,0.00056966173,0.0002718785,0.00043514,0.000012000515,0.000014611341,0.030303523],"genre_scores_gemma":[0.95599645,0.000059048565,0.042958237,0.0000049095515,0.000033857577,0.000010244104,4.749339e-7,0.0000235087,0.0009132532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805987,0.0000069962334,0.0009982666,0.00020524912,0.00046408374,0.00026554096],"domain_scores_gemma":[0.9970942,0.0001644188,0.0018509312,0.00057918177,0.0002546553,0.000056616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076737313,0.000217574,0.00075936003,0.00026341307,0.00016155318,0.000021556933,0.0015149931,0.00016763445,0.00002616004],"category_scores_gemma":[0.00222821,0.00015381289,0.00021813205,0.00031621393,0.0007569082,0.0003175141,0.0007131808,0.00020049616,0.0000032509222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022576527,0.00060116034,0.012562138,0.0035117797,0.00011367731,0.0000015306857,0.0050548767,0.000002914204,0.010183611,0.96652734,0.0006171774,0.0008012447],"study_design_scores_gemma":[0.0018364905,0.00028102085,0.009511107,0.0020486922,0.00028590075,0.000031157077,0.009122691,0.00021467806,0.09776112,0.8781874,0.00032933115,0.00039039986],"about_ca_topic_score_codex":0.00023343948,"about_ca_topic_score_gemma":0.00007881666,"teacher_disagreement_score":0.0883399,"about_ca_system_score_codex":0.00004229198,"about_ca_system_score_gemma":0.000078476216,"threshold_uncertainty_score":0.62723076},"labels":[],"label_agreement":null},{"id":"W2965916885","doi":"10.4153/s0008439520000090","title":"Primitive Points in Rational Polygons","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Isosceles triangle; Polygon (computer graphics); Term (time); Class (philosophy); Regular polygon; Rational function","score_opus":0.04708327851070295,"score_gpt":0.26680580844446444,"score_spread":0.21972252993376148,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2965916885","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4734669,0.00010390742,0.011424124,0.32888943,0.000140309,0.0011117229,0.00010299613,0.00017521314,0.18458542],"genre_scores_gemma":[0.98178846,0.000001698639,0.009661572,0.006971362,0.00010979525,0.000031159976,0.00000849863,0.000028378176,0.0013991048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986413,0.00007702885,0.0003717645,0.00026392523,0.00018267678,0.00046329954],"domain_scores_gemma":[0.9983299,0.00071847654,0.00005501399,0.00016188438,0.00004179604,0.0006929284],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025081908,0.0001572366,0.0003152854,0.0002035958,0.000060908435,0.000024578454,0.00021680466,0.0001282785,0.037615214],"category_scores_gemma":[0.0042853784,0.00015033127,0.00007084484,0.00039417038,0.000108314394,0.000022220347,0.000038855185,0.00025813995,0.0104593085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074023123,0.000055307166,0.00028422434,0.000065826214,0.000016361158,0.00011466086,0.0009430594,8.4421873e-7,0.0000162872,0.9489047,0.04926093,0.00033041337],"study_design_scores_gemma":[0.0010097105,0.00011227314,0.0021624737,0.00007164043,0.00002866822,0.00005829743,0.0009447215,0.0003899747,0.00014086343,0.9266548,0.067970514,0.00045605176],"about_ca_topic_score_codex":0.0002857825,"about_ca_topic_score_gemma":0.00073831994,"teacher_disagreement_score":0.5083215,"about_ca_system_score_codex":0.00011471409,"about_ca_system_score_gemma":0.00025432024,"threshold_uncertainty_score":0.99031115},"labels":[],"label_agreement":null},{"id":"W2966470135","doi":"","title":"On the torsion of Chow groups of twisted Spin-flags","year":2012,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Mistake; Annihilator; Mathematical proof; Mathematics; FLAGS register; Torsion (gastropod); Polynomial; Pure mathematics; Algebra over a field; Arithmetic; Computer science; Mathematical analysis; Geometry; Law","score_opus":0.11198561040398167,"score_gpt":0.21284924767076,"score_spread":0.10086363726677833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966470135","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99068135,0.000021350632,0.0035364558,0.00005193294,0.00013236524,0.00011060958,0.000003545658,0.00002048878,0.0054418785],"genre_scores_gemma":[0.9984783,0.000010132957,0.00011471004,0.00003633186,0.000023224273,1.3343535e-7,9.904761e-7,0.000008047457,0.0013281209],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993967,0.00007970879,0.00013753184,0.00012862998,0.000063129126,0.00019430117],"domain_scores_gemma":[0.99881095,0.000532541,0.00018864566,0.0003552198,0.000054278476,0.00005838914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026654414,0.00009439006,0.00019314332,0.00015120192,0.00004668313,0.0000016223264,0.00024624125,0.00008030975,0.0004047746],"category_scores_gemma":[0.00027475037,0.00007115801,0.000100062374,0.0006089079,0.00014343178,0.00007453996,0.000083378865,0.00010318108,0.000039273258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003208422,0.00020059648,0.008065711,0.00003156664,0.000035012567,0.0000046244168,0.00019177454,0.000024866096,0.00022013205,0.99043566,0.0006951595,0.00006279408],"study_design_scores_gemma":[0.0029237191,0.0010877186,0.08917412,0.00018692194,0.0004616849,0.000026473206,0.00421432,0.0019942909,0.021299643,0.8763848,0.001561939,0.0006843414],"about_ca_topic_score_codex":0.000029330844,"about_ca_topic_score_gemma":0.0000036053052,"teacher_disagreement_score":0.11405086,"about_ca_system_score_codex":0.000028990633,"about_ca_system_score_gemma":0.000013187026,"threshold_uncertainty_score":0.44319978},"labels":[],"label_agreement":null},{"id":"W2967197151","doi":"10.1017/fms.2020.41","title":"The cohomology of Torelli groups is algebraic","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","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":"National Research Foundation; European Commission; Leverhulme Trust; Danmarks Grundforskningsfond; National Science Foundation","keywords":"Cohomology; Group (periodic table); Algebraic number; Space (punctuation); Algebraic group; Group cohomology","score_opus":0.03978777801439069,"score_gpt":0.2785704821053224,"score_spread":0.23878270409093172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2967197151","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8954915,0.0014973963,0.060916644,0.02460795,0.00051602913,0.0011117946,0.00008188034,0.00016526443,0.015611566],"genre_scores_gemma":[0.9853106,0.00006737486,0.013575964,0.00041092595,0.00007142903,0.000014008508,0.0000023624882,0.000038181563,0.00050916016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810725,0.00006009893,0.0008766063,0.00021102553,0.00036150188,0.00038351276],"domain_scores_gemma":[0.99627864,0.002301068,0.00065012596,0.0005295927,0.00013380453,0.00010676414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004520216,0.00020080565,0.0006324061,0.00008101853,0.000098931094,0.000009489998,0.0006298529,0.00015884741,0.00046738988],"category_scores_gemma":[0.0018104949,0.00013728543,0.00022328347,0.00044996885,0.00039197828,0.000041862648,0.00022461473,0.00017811886,0.000054596912],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018779818,0.00021530711,0.0005865432,0.0005738586,0.00016177224,0.0000036314939,0.0036942973,0.0000024466488,0.00045344146,0.96178967,0.031609852,0.0008903738],"study_design_scores_gemma":[0.0005553234,0.00047586922,0.00006135797,0.0000360172,0.000105559964,0.000020357018,0.004240271,0.0008648575,0.009387167,0.9806259,0.0034469473,0.00018035847],"about_ca_topic_score_codex":0.0000072700186,"about_ca_topic_score_gemma":0.000005656074,"teacher_disagreement_score":0.08981912,"about_ca_system_score_codex":0.000012647343,"about_ca_system_score_gemma":0.000049774648,"threshold_uncertainty_score":0.55983377},"labels":[],"label_agreement":null},{"id":"W2967728238","doi":"10.5802/aif.3516","title":"The Jones–Krushkal polynomial and minimal diagrams of surface links","year":2022,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Generalization; Mathematics; Diagram; Link (geometry); Writhe; Surface (topology); Polynomial; Combinatorics; Pure mathematics; Mathematical analysis; Geometry; Twist","score_opus":0.02855071589606662,"score_gpt":0.27735011994647235,"score_spread":0.24879940405040574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2967728238","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922152,0.0018090039,0.00026348754,0.002298012,0.00038401212,0.00017928256,0.00003727207,0.00003346373,0.0027802319],"genre_scores_gemma":[0.99458426,0.00012879958,0.0021855268,0.0002281424,0.00015071253,0.000018636809,0.0000044752846,0.000017018005,0.0026824407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99874914,0.00012348103,0.0003045393,0.00019862088,0.00026045335,0.00036379305],"domain_scores_gemma":[0.9987018,0.0007156149,0.00015390152,0.00029180804,0.00004336804,0.00009351204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063563156,0.00014153561,0.00024539727,0.00006982732,0.0005802984,0.000026740578,0.00029273456,0.00010826703,0.00021685417],"category_scores_gemma":[0.0004539451,0.00011010502,0.00009963389,0.00028104137,0.00044169353,0.000055610464,0.00029579713,0.00043025106,0.000007848204],"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":[0.00090001646,0.0010846343,0.10090589,0.0002646834,0.0009047058,0.00034472687,0.010186507,0.00047802733,0.0009999414,0.51539207,0.3015865,0.06695227],"study_design_scores_gemma":[0.0021021548,0.0007142707,0.013267881,0.000020961235,0.00020921539,0.000454073,0.003392574,0.0012139803,0.001076623,0.05410318,0.9228576,0.00058747927],"about_ca_topic_score_codex":0.00006458323,"about_ca_topic_score_gemma":0.00006915964,"teacher_disagreement_score":0.6212711,"about_ca_system_score_codex":0.00003003883,"about_ca_system_score_gemma":0.0001410611,"threshold_uncertainty_score":0.44899523},"labels":[],"label_agreement":null},{"id":"W2968084728","doi":"10.2140/gt.2023.27.925","title":"Cabling in terms of immersed curves","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Floer homology; Mathematics; Torus; Knot (papermaking); Khovanov homology; Pure mathematics; Homology (biology); Invariant (physics); Morse homology; Mathematical analysis; Geometry; Algebra over a field; Cellular homology; Mathematical physics; Composite material","score_opus":0.06240252322152226,"score_gpt":0.3507816268199854,"score_spread":0.2883791035984632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2968084728","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9875444,0.00040999101,0.0003207839,0.0020688702,0.0007631359,0.00023289166,0.000012717496,0.000117909185,0.008529255],"genre_scores_gemma":[0.9971524,0.0003406396,0.0005549751,0.00018852249,0.000070593465,0.00002605261,0.0000148750705,0.00002103889,0.0016309154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983921,0.00010711572,0.0005181189,0.00028315414,0.00016477618,0.0005347481],"domain_scores_gemma":[0.9979501,0.0014302164,0.00017012056,0.00035822415,0.000031884803,0.00005948266],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000736512,0.0001494317,0.0005421578,0.0016677728,0.000037497663,0.000003202699,0.00028614965,0.0001852045,0.0011224967],"category_scores_gemma":[0.0021247473,0.00014003922,0.00009814673,0.0034505976,0.00022933836,0.000050178263,0.00016126268,0.00022281501,0.00015625435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008738426,0.0005982435,0.4222606,0.0020091643,0.00026235744,0.00037682132,0.0013437594,0.00006109981,0.0044430997,0.5103323,0.03806953,0.020155631],"study_design_scores_gemma":[0.0030875632,0.0005663396,0.2212066,0.00033057993,0.00011293647,0.00014999087,0.0030455438,0.0002297201,0.006315731,0.7545029,0.009623756,0.0008283313],"about_ca_topic_score_codex":0.00019900725,"about_ca_topic_score_gemma":0.000070918264,"teacher_disagreement_score":0.2441706,"about_ca_system_score_codex":0.000027010927,"about_ca_system_score_gemma":0.000029501658,"threshold_uncertainty_score":0.9997906},"labels":[],"label_agreement":null},{"id":"W2968465024","doi":"10.1017/s0017089520000014","title":"GAPS BETWEEN CONSECUTIVE UNTWISTING NUMBERS","year":2020,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Knot (papermaking); Torus; Knot theory; Topology (electrical circuits)","score_opus":0.07405453808134493,"score_gpt":0.3210166663379062,"score_spread":0.24696212825656128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2968465024","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6315063,0.00015071398,0.29968986,0.014057004,0.00029580717,0.00037941543,0.000023145112,0.00032205248,0.053575687],"genre_scores_gemma":[0.9574611,0.000008329187,0.04036977,0.0008380258,0.0009229059,0.0000041221915,0.0000017027324,0.00004360624,0.00035042968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759614,0.00017191278,0.0008293527,0.00026006481,0.0005652316,0.00057726726],"domain_scores_gemma":[0.9963328,0.0023143939,0.00037046926,0.00018681017,0.00013876874,0.0006567308],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00075265334,0.00026231728,0.0006745464,0.000119068805,0.00038154746,0.00009513729,0.00045228956,0.00016619274,0.0023524205],"category_scores_gemma":[0.0066198045,0.00020837497,0.00023693625,0.00049175735,0.00022851679,0.00012284529,0.0003369547,0.0008389589,0.0006948985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006332206,0.00027733392,0.010966296,0.0006057183,0.0006385802,0.0005721411,0.010593469,0.000003307411,0.00018998684,0.9244682,0.04544244,0.006179195],"study_design_scores_gemma":[0.00085831364,0.00016578597,0.00037237143,0.00009855533,0.00016765262,0.00085228065,0.0015138596,0.00014747231,0.00024300625,0.9935968,0.0016861827,0.0002977557],"about_ca_topic_score_codex":0.0000018691371,"about_ca_topic_score_gemma":4.4370944e-7,"teacher_disagreement_score":0.3259548,"about_ca_system_score_codex":0.000057627447,"about_ca_system_score_gemma":0.00009159281,"threshold_uncertainty_score":0.9985596},"labels":[],"label_agreement":null},{"id":"W2969669112","doi":"10.1093/imrn/rny194","title":"Corrigendum to “An Approach to Higher Teichmüller Spaces for Classical Groups”","year":2018,"lang":"en","type":"erratum","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.30913877007628116,"score_gpt":0.467387926922636,"score_spread":0.15824915684635482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969669112","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0044897567,0.0002114716,0.09036924,0.024850436,0.0977074,0.0074052503,0.0011152801,0.00054174924,0.7733094],"genre_scores_gemma":[0.0035845006,0.000015387024,0.21063577,0.00040628095,0.010366848,0.0011159881,0.0003472368,0.00024155242,0.77328646],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99302506,0.00025112226,0.0010285728,0.0012596006,0.0031220955,0.0013135324],"domain_scores_gemma":[0.9928867,0.0022599853,0.0003971446,0.0013732141,0.0023110325,0.000771923],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0032598441,0.00062916055,0.00102715,0.002268284,0.00035540812,0.00072136207,0.004097064,0.0008741844,0.0016513506],"category_scores_gemma":[0.011630244,0.00052469614,0.00029286093,0.0010038394,0.00038194464,0.00024316003,0.0015874895,0.00137867,0.0013768881],"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":[0.000059259663,0.0010217972,0.0000047003377,0.00057817344,0.00025952683,0.0000061036717,0.001189988,0.0000024995506,0.000014071322,0.257963,0.73858905,0.00031180715],"study_design_scores_gemma":[0.00033976889,0.00059678627,0.000048669757,0.0002950951,0.000063117775,0.000009201774,0.0010204852,0.003081599,0.000030584695,0.28550786,0.70847535,0.0005314998],"about_ca_topic_score_codex":0.00004976319,"about_ca_topic_score_gemma":0.000097177384,"teacher_disagreement_score":0.12026653,"about_ca_system_score_codex":0.00042931622,"about_ca_system_score_gemma":0.00036868983,"threshold_uncertainty_score":0.99972045},"labels":[],"label_agreement":null},{"id":"W2969941139","doi":"10.1142/s1793525321500254","title":"Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups","year":2021,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Cohomological dimension; Pure mathematics; Dimension (graph theory); Discrete group; Dimension theory (algebra); Group (periodic table); Automorphism; Free product; Profinite group; Isoperimetric inequality; Totally disconnected space; Locally compact space; Algebra over a field; Cohomology","score_opus":0.027789133008321167,"score_gpt":0.30176645092857907,"score_spread":0.2739773179202579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969941139","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97004133,0.0012345825,0.024868973,0.0035802042,0.000095543444,0.000049235183,0.000008360413,0.000008444263,0.00011329453],"genre_scores_gemma":[0.9944176,0.00023834329,0.0047311876,0.00030724076,0.000095691685,7.5241434e-7,0.0000070848473,0.0000062068852,0.000195887],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9987853,0.000187239,0.0004977247,0.00019446749,0.00011545097,0.00021978997],"domain_scores_gemma":[0.9978104,0.0013537564,0.000337062,0.00012599654,0.00023490396,0.00013784452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053067965,0.00013770605,0.0008402361,0.00030591714,0.00013793979,0.000022377464,0.00008621071,0.00018000648,0.00017705713],"category_scores_gemma":[0.001190366,0.00009750283,0.00027318782,0.0005010198,0.00025806722,0.00006868581,0.000059421935,0.00021448705,4.8224075e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007990822,0.0012966266,0.5177348,0.00017361365,0.009795339,0.0007263046,0.0009891908,0.00009276792,0.005595081,0.4549436,0.0022916382,0.0055619245],"study_design_scores_gemma":[0.0031261365,0.0013230651,0.5299046,0.000030400333,0.006421456,0.0028994936,0.0015563195,0.0013937443,0.0011845259,0.45130253,0.00045879945,0.00039895525],"about_ca_topic_score_codex":0.000015620773,"about_ca_topic_score_gemma":0.00006848268,"teacher_disagreement_score":0.024376243,"about_ca_system_score_codex":0.000015987396,"about_ca_system_score_gemma":0.000040077353,"threshold_uncertainty_score":0.397605},"labels":[],"label_agreement":null},{"id":"W2973093679","doi":"10.4171/jems/1201","title":"On symmetries of peculiar modules, or $\\delta$-graded link Floer homology is mutation invariant","year":2022,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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; Floer homology; Invariant (physics); Homogeneous space; Pure mathematics; Khovanov homology; Link (geometry); Homology (biology); Algebra over a field; Geometry; Combinatorics; Mathematical physics; Symplectic geometry; Genetics; Gene","score_opus":0.04098241410880774,"score_gpt":0.2782633776254243,"score_spread":0.23728096351661657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2973093679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9351656,0.00025602727,0.037143406,0.016647153,0.0010267934,0.00060975313,0.00006324427,0.000058000875,0.009030023],"genre_scores_gemma":[0.97667414,0.000025240886,0.019229062,0.0015250829,0.0002524134,0.0000034876628,0.0000012111014,0.000053497995,0.0022358932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687886,0.0009051503,0.0010414867,0.0001646266,0.0007473298,0.00026257124],"domain_scores_gemma":[0.99641454,0.0017680045,0.0011161753,0.00040894278,0.00020050142,0.00009184255],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002929687,0.00019018738,0.00056713354,0.00011653468,0.00027962882,0.000021482507,0.00078091206,0.00006431199,0.0012056357],"category_scores_gemma":[0.0034877749,0.00010929515,0.0006609202,0.0007263234,0.00024538263,0.000059532013,0.00041807236,0.00076599454,0.000026197042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027657716,0.002125975,0.000060123508,0.0006778214,0.0011939214,0.00026813155,0.017593293,0.00034260764,0.0007618235,0.76978326,0.20332333,0.0035931477],"study_design_scores_gemma":[0.0015664028,0.00096462364,0.00046445552,0.00010250397,0.00030645845,0.001217851,0.0033702285,0.00071839895,0.0010667109,0.9881488,0.0018570202,0.00021655744],"about_ca_topic_score_codex":0.0000017246876,"about_ca_topic_score_gemma":1.8443865e-7,"teacher_disagreement_score":0.21836554,"about_ca_system_score_codex":0.00010577134,"about_ca_system_score_gemma":0.000083093706,"threshold_uncertainty_score":0.9997074},"labels":[],"label_agreement":null},{"id":"W2976308628","doi":"10.2140/gt.2022.26.3123","title":"Linear bounds for constants in Gromov’ssystolic inequality and related results","year":2022,"lang":"en","type":"preprint","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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":"Ball (mathematics); Combinatorics; Mathematics; Contractible space; Inverse; Geodesic; Riemannian manifold; Upper and lower bounds; Simplicial complex; Regular polygon; Mathematical analysis; Geometry","score_opus":0.07236510762496051,"score_gpt":0.3669058012761922,"score_spread":0.2945406936512317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2976308628","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840492,0.001580858,0.0008349324,0.0030591541,0.0034539124,0.0016542828,0.0012225973,0.0001957253,0.003949344],"genre_scores_gemma":[0.9913878,0.00025561088,0.004581649,0.0002408481,0.00020976337,0.00042546232,0.00044605005,0.00007697957,0.0023758628],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950258,0.0006636727,0.0017472486,0.0013018101,0.00030311447,0.0009583606],"domain_scores_gemma":[0.9932146,0.004485516,0.0008941453,0.001099995,0.00013080306,0.00017490459],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0031508445,0.00054660277,0.0016454286,0.0019277992,0.00023036353,0.00003174369,0.0006371674,0.0012560186,0.0011177384],"category_scores_gemma":[0.009172065,0.0005758607,0.00024111713,0.0013256529,0.0006539437,0.000050847255,0.0019019471,0.0018077147,0.000016149212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0024210142,0.0022726366,0.04712387,0.004848191,0.0017629516,0.0010052923,0.0080234185,0.00023271148,0.000093844916,0.90056306,0.017786885,0.013866101],"study_design_scores_gemma":[0.005188551,0.00066331803,0.011470443,0.00008739319,0.00020528796,0.0003445397,0.0012856357,0.00035007755,0.000042580206,0.95711684,0.02227193,0.00097339123],"about_ca_topic_score_codex":0.0008524538,"about_ca_topic_score_gemma":0.00024046822,"teacher_disagreement_score":0.05655377,"about_ca_system_score_codex":0.00027524156,"about_ca_system_score_gemma":0.00031735108,"threshold_uncertainty_score":0.9997954},"labels":[],"label_agreement":null},{"id":"W2977021823","doi":"10.1007/978-3-030-27227-2_4","title":"Elementary Properties of Moment Maps","year":2019,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Geometric and Algebraic Topology","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":"Moment map; Fundamental vector field; Symplectic geometry; Mathematics; Symplectic manifold; Hamiltonian (control theory); Pure mathematics; Vector field; Symplectomorphism; Moment (physics); Mathematical analysis; Lie group; Physics; Geometry; Classical mechanics","score_opus":0.053933081512438585,"score_gpt":0.2617050708167597,"score_spread":0.20777198930432111,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2977021823","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019183232,0.002548602,0.0012042566,0.00031568768,0.000855621,0.002364677,0.00009066732,0.00015676899,0.9732805],"genre_scores_gemma":[0.019961772,0.00052614685,0.041762352,0.00010348487,0.00020755979,0.00004174337,0.000020419191,0.00028906768,0.9370875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99712193,0.000020421621,0.001394374,0.0004193529,0.0006213393,0.00042255459],"domain_scores_gemma":[0.9977336,0.00027011178,0.00083774276,0.0009896923,0.00010101038,0.000067859066],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006540915,0.0005187017,0.0013019987,0.0006183886,0.00002927227,0.000015575451,0.0005350635,0.00042177862,0.0010898057],"category_scores_gemma":[0.00017737737,0.00045713803,0.00025437347,0.00010243726,0.00020500668,0.00005434232,0.00039228125,0.00053243927,0.00023448873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010311526,0.00018920883,0.000048726175,0.0042916583,0.00018250309,0.000021487655,0.0007974937,0.000002956259,0.000110493376,0.99160683,0.0019256726,0.0008126338],"study_design_scores_gemma":[0.00057609467,0.0001267254,0.000008356811,0.0022983444,0.00015556919,0.000023375596,0.00023069204,0.000036209694,0.0013933801,0.96126497,0.033315368,0.000570943],"about_ca_topic_score_codex":0.000015414986,"about_ca_topic_score_gemma":0.000022728294,"teacher_disagreement_score":0.040558096,"about_ca_system_score_codex":0.00017891302,"about_ca_system_score_gemma":0.00014671442,"threshold_uncertainty_score":0.99982333},"labels":[],"label_agreement":null},{"id":"W2980264183","doi":"10.1007/s00022-019-0508-9","title":"On the isomorphism types of Moebius–Kantor complexes","year":2019,"lang":"en","type":"article","venue":"Journal of Geometry","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Isomorphism (crystallography); Parity (physics); Invariant (physics); Pure mathematics; Combinatorics; Mathematical physics; Crystallography; Physics","score_opus":0.030643124112583138,"score_gpt":0.2818771115088538,"score_spread":0.2512339873962707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980264183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9934636,0.000335621,0.00044466057,0.001309146,0.00052694464,0.00008246199,0.000005920822,0.000005860783,0.0038257826],"genre_scores_gemma":[0.9970446,0.000027173357,0.00081770716,0.00025240064,0.00013362401,3.6080613e-7,2.3638333e-7,0.000012193769,0.0017116903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988526,0.000068693196,0.00047414697,0.000074331656,0.0003682541,0.00016194244],"domain_scores_gemma":[0.996809,0.00208704,0.00063908426,0.00024904418,0.00016531454,0.000050535516],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007262896,0.00010177688,0.00040218298,0.00043930375,0.00003328056,0.000009900145,0.00034739103,0.00007273841,0.0027057128],"category_scores_gemma":[0.0011309418,0.000057175734,0.0001723083,0.0005293245,0.00008192794,0.0000526713,0.000048118505,0.0002853785,0.00012307217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021096131,0.0006772206,0.013117807,0.00020304647,0.00056364224,0.000032932556,0.0006014655,0.000058605427,0.0061073666,0.89371467,0.08205427,0.0026579993],"study_design_scores_gemma":[0.002622528,0.0029698696,0.032155223,0.00036179172,0.0002488424,0.0005140049,0.0021098165,0.000110001434,0.013469272,0.9279484,0.017074782,0.0004154358],"about_ca_topic_score_codex":0.0000051560746,"about_ca_topic_score_gemma":6.442875e-7,"teacher_disagreement_score":0.06497949,"about_ca_system_score_codex":0.000022876198,"about_ca_system_score_gemma":0.00004524463,"threshold_uncertainty_score":0.99820596},"labels":[],"label_agreement":null},{"id":"W2980269572","doi":"10.1216/rmj.2021.51.1847","title":"Modular groups and planar maps","year":2021,"lang":"en","type":"preprint","venue":"Rocky Mountain Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Conjugacy class; Mathematics; Modular design; Pure mathematics; Torsion (gastropod); Planar; Modular group; Genus; Modular curve; Combinatorics; Group (periodic table); Zero (linguistics); Algebra over a field; Modular form; Computer science; Physics","score_opus":0.03508167407276755,"score_gpt":0.2871467251817668,"score_spread":0.25206505110899924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980269572","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88805115,0.004248962,0.105290905,0.0007472245,0.0007633595,0.00029698273,0.00003375676,0.00004052777,0.0005271469],"genre_scores_gemma":[0.74833643,0.0010834575,0.24894808,0.00014672922,0.0007364889,0.0000093623285,0.00001853531,0.00012348681,0.0005974529],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99666506,0.00018050028,0.0016225297,0.00032707825,0.0007792746,0.00042554],"domain_scores_gemma":[0.9954772,0.0011482338,0.0019864545,0.0006543087,0.00047529535,0.00025851556],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016339341,0.00049799454,0.0015822047,0.00056622457,0.00011118801,0.00016678555,0.0006477672,0.0005794012,0.00015067287],"category_scores_gemma":[0.0020476133,0.0004232785,0.00038465997,0.00025011477,0.000110855304,0.000121917896,0.0006033956,0.0014624589,0.00000698097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017939127,0.0069284053,0.0036013126,0.036948655,0.008796656,0.009347381,0.051992103,0.0013660945,0.0021359362,0.8282995,0.041372906,0.009031626],"study_design_scores_gemma":[0.00081061356,0.00018034325,0.00014645139,0.0011888813,0.00061628816,0.003916562,0.008258911,0.00068249507,0.00027744798,0.98273754,0.00068102306,0.0005034268],"about_ca_topic_score_codex":0.000007668318,"about_ca_topic_score_gemma":0.0000066701514,"teacher_disagreement_score":0.15443802,"about_ca_system_score_codex":0.00014586005,"about_ca_system_score_gemma":0.00027335723,"threshold_uncertainty_score":0.9998219},"labels":[],"label_agreement":null},{"id":"W2980770968","doi":"10.18910/73625","title":"Local connectedness of the space of punctured torus group","year":2019,"lang":"en","type":"article","venue":"Osaka City University (Osaka City University)","topic":"Geometric and Algebraic Topology","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":"Social connectedness; Mathematics; Torus; Space (punctuation); Group (periodic table); Boundary (topology); Pure mathematics; Maximal torus; Topology (electrical circuits); Combinatorics; Mathematical analysis; Geometry; Computer science; Social psychology; Physics","score_opus":0.01495367596703379,"score_gpt":0.19508141107031216,"score_spread":0.18012773510327837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980770968","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9510839,0.000013199124,0.011728592,0.00046056043,0.00054678845,0.00048570748,0.00010704639,0.000090870795,0.035483327],"genre_scores_gemma":[0.9775195,0.000018818426,0.0008580657,0.000032154043,0.000022023747,4.7193943e-8,0.000009443545,0.00001633331,0.021523573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9978878,0.00035243016,0.0002674636,0.0005214492,0.00050068443,0.00047019203],"domain_scores_gemma":[0.99728256,0.0007128543,0.0005359259,0.00095181883,0.00033842702,0.00017843895],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00031261053,0.0003236371,0.0007670972,0.0006657873,0.0002472136,0.000009143291,0.0013416026,0.00039558133,0.0010016332],"category_scores_gemma":[0.0002442896,0.00030548917,0.0004578478,0.0024006204,0.00084870064,0.0002923043,0.0008116452,0.00045967146,0.000022214534],"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":[0.0005886156,0.0007665466,0.06670696,0.0003547952,0.00044871258,0.00010301456,0.0014933221,0.00007534124,0.0020621812,0.9243234,0.0025065735,0.00057054963],"study_design_scores_gemma":[0.03442233,0.0026343027,0.30001122,0.0009744584,0.0038167208,0.00018578235,0.09555438,0.0014060423,0.048527416,0.056072332,0.4512922,0.0051028472],"about_ca_topic_score_codex":0.0011085183,"about_ca_topic_score_gemma":0.0008006469,"teacher_disagreement_score":0.868251,"about_ca_system_score_codex":0.00034741813,"about_ca_system_score_gemma":0.00023300498,"threshold_uncertainty_score":0.99993974},"labels":[],"label_agreement":null},{"id":"W2980791618","doi":"10.1016/j.aim.2019.106852","title":"A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit conjecture","year":2019,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Conjecture; Geodesic; Central limit theorem; Limit (mathematics); Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis","score_opus":0.04733089717387272,"score_gpt":0.3026525578487912,"score_spread":0.25532166067491846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980791618","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9875906,0.00037787802,0.0033589029,0.0030248472,0.0002550235,0.0038279025,0.00024022593,0.00003808099,0.0012865145],"genre_scores_gemma":[0.9915699,0.00003117151,0.0012914772,0.000016412065,0.00008797128,0.0000035954856,0.00003165474,0.000025892126,0.006941953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971221,0.00043514042,0.00031298882,0.00055337197,0.00077372685,0.00080264686],"domain_scores_gemma":[0.99645513,0.0012702005,0.00030647338,0.0011205755,0.00071550783,0.0001321215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021822911,0.00020657196,0.0006151056,0.00043108425,0.00027161103,0.000014176522,0.001268479,0.00018290416,0.0003203087],"category_scores_gemma":[0.002344993,0.00016018785,0.000306365,0.0010797064,0.0010799025,0.00014829768,0.0004962864,0.0005461874,0.000017913886],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.013779665,0.0067622727,0.045577705,0.012769489,0.0038929316,0.00010825496,0.088356055,0.0011116328,0.04782943,0.53637403,0.18972565,0.053712845],"study_design_scores_gemma":[0.052012473,0.005642674,0.04799674,0.0010347088,0.00065410323,0.00014397524,0.026788138,0.0013649648,0.21652986,0.46510717,0.18048035,0.0022448462],"about_ca_topic_score_codex":0.00028107144,"about_ca_topic_score_gemma":0.00007598554,"teacher_disagreement_score":0.16870044,"about_ca_system_score_codex":0.00012720472,"about_ca_system_score_gemma":0.0004800446,"threshold_uncertainty_score":0.6532271},"labels":[],"label_agreement":null},{"id":"W2981890251","doi":"10.5802/aif.3585","title":"Action rigidity for free products of hyperbolic manifold groups","year":2023,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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":"Azrieli Foundation; Israel Science Foundation; National Science Foundation","keywords":"Mathematics; Hyperbolic manifold; Pure mathematics; Hyperbolic space; Isometry (Riemannian geometry); Geodesic; Generalization; Rank (graph theory); Combinatorics; Mathematical analysis","score_opus":0.1274323161387522,"score_gpt":0.3443302665360684,"score_spread":0.2168979503973162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981890251","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.990287,0.00015291525,0.0032571496,0.0021942358,0.0006534119,0.00047593378,0.000059633134,0.00020782833,0.002711884],"genre_scores_gemma":[0.98583674,0.00010898149,0.009365086,0.00013014917,0.0005744523,0.000076538934,0.000029591016,0.000029835723,0.0038486025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884456,0.000034188633,0.0002842246,0.00025814865,0.00019513618,0.00038375112],"domain_scores_gemma":[0.9988388,0.00029502469,0.00014689262,0.0005025106,0.00014408653,0.00007268822],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047658186,0.00014766981,0.00028379625,0.00027370124,0.00012634606,0.000013132835,0.00027670455,0.0001356696,0.000064932334],"category_scores_gemma":[0.0021947774,0.00013599929,0.00011932681,0.00068915315,0.000107391585,0.00013136129,0.00009324888,0.00012024223,0.00007652409],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009773354,0.00031367166,0.0029739027,0.0010138445,0.00023223816,0.000037265138,0.0009019578,0.00003089929,0.0019040267,0.7043717,0.27874935,0.009373408],"study_design_scores_gemma":[0.0014683321,0.00024767476,0.011235126,0.000061650426,0.00019754424,0.00007766248,0.00039709124,0.00051490165,0.016148418,0.68211156,0.28714028,0.00039976754],"about_ca_topic_score_codex":0.000029632427,"about_ca_topic_score_gemma":0.00006269431,"teacher_disagreement_score":0.02226015,"about_ca_system_score_codex":0.000030490986,"about_ca_system_score_gemma":0.00010376393,"threshold_uncertainty_score":0.55458903},"labels":[],"label_agreement":null},{"id":"W2984160276","doi":"10.1093/imrn/rnaa213","title":"Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric Distances","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Coxeter group; Coxeter complex; Mathematics; Inequality; Point group; Pure mathematics; Fuchsian group; Longest element of a Coxeter group; Artin group; Combinatorics; Mathematical analysis","score_opus":0.304939657550194,"score_gpt":0.465275367467394,"score_spread":0.16033570991720003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2984160276","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89941597,0.00061106327,0.07987214,0.008708898,0.00079751655,0.0026328554,0.0008836518,0.0001857111,0.00689218],"genre_scores_gemma":[0.9165081,0.00010367519,0.08156181,0.00008494114,0.0005236848,0.00042815064,0.00012386001,0.00007946937,0.00058631116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99566555,0.00016606244,0.0008439073,0.0008608471,0.00179134,0.0006723012],"domain_scores_gemma":[0.9917951,0.006106047,0.000554158,0.0005328357,0.0007258097,0.00028602537],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0021963385,0.00043999768,0.00083304074,0.0011454151,0.00023157329,0.00055372796,0.0012253153,0.0002509879,0.00026076476],"category_scores_gemma":[0.005188185,0.00034487882,0.00016656544,0.0006524961,0.0005866259,0.00018985353,0.0016240139,0.0010461574,0.000033584183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006572573,0.001911165,0.004013788,0.012231516,0.0022478718,0.00013071415,0.0064027295,0.000045852634,0.00017949946,0.9627688,0.0046168473,0.0047939876],"study_design_scores_gemma":[0.0014158528,0.0005412445,0.0011484926,0.0005459478,0.00013932234,0.00003342155,0.0032772175,0.008979899,0.00019692979,0.9804753,0.002656002,0.00059039285],"about_ca_topic_score_codex":0.00006752747,"about_ca_topic_score_gemma":0.000096349075,"teacher_disagreement_score":0.017706506,"about_ca_system_score_codex":0.00021795348,"about_ca_system_score_gemma":0.0001898079,"threshold_uncertainty_score":0.99990034},"labels":[],"label_agreement":null},{"id":"W2990211350","doi":"10.1093/imrn/rnaa114","title":"The Trace Field of Hyperbolic Gluings","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Coxeter group; TRACE (psycholinguistics); Mathematics; Field (mathematics); Simplex; Pure mathematics; Algebra over a field; Geometry; Linguistics","score_opus":0.23820405587855895,"score_gpt":0.4847166511659002,"score_spread":0.24651259528734124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2990211350","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69382393,0.0030749422,0.015683632,0.12905006,0.0046821474,0.002788621,0.0002217123,0.0003113851,0.15036355],"genre_scores_gemma":[0.97369796,0.00043178862,0.02177703,0.00007349342,0.0005724616,0.000107162916,0.000008800312,0.00005530842,0.0032760112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961217,0.00021988212,0.00089505647,0.0004079501,0.0019114537,0.00044396892],"domain_scores_gemma":[0.9815494,0.016138693,0.0005749218,0.00070910616,0.000904815,0.00012310644],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002493594,0.0002475419,0.0005117781,0.00039978,0.00018631169,0.00022595184,0.0026121659,0.0002979369,0.00033959793],"category_scores_gemma":[0.022163108,0.00017339477,0.00024463906,0.00036606006,0.0004031644,0.00006951351,0.0020573908,0.0015695947,0.00011392124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057674664,0.00041389882,0.00009578741,0.0014890986,0.000612608,0.000026280375,0.0035984695,0.000032599688,0.00032372278,0.96438164,0.023710359,0.005257877],"study_design_scores_gemma":[0.00019739647,0.00010398665,0.00006812786,0.00031325972,0.000041346746,0.000007671915,0.0014708128,0.0056555206,0.002467135,0.9783451,0.011156098,0.00017355438],"about_ca_topic_score_codex":0.00010380242,"about_ca_topic_score_gemma":0.000038907856,"teacher_disagreement_score":0.279874,"about_ca_system_score_codex":0.00008099355,"about_ca_system_score_gemma":0.00022838543,"threshold_uncertainty_score":0.9860736},"labels":[],"label_agreement":null},{"id":"W2991514560","doi":"10.1017/s0017089520000269","title":"CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS","year":2020,"lang":"en","type":"preprint","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Contractible space; Mathematics; Equivariant map; Quotient; Bounding overwatch; Homology (biology); Pure mathematics; SPHERES; Manifold (fluid mechanics); Moduli space; Boundary (topology); Combinatorics; Mathematical analysis; Physics; Amino acid; Computer science; Chemistry","score_opus":0.057342628244320654,"score_gpt":0.31858797543807527,"score_spread":0.2612453471937546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2991514560","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7960569,0.00067056547,0.18739404,0.0022781487,0.0014276175,0.0007086646,0.000057008852,0.0002503608,0.011156659],"genre_scores_gemma":[0.9411353,0.000145884,0.056622133,0.00022058285,0.0010489039,0.000022914946,0.000009312841,0.00014999726,0.0006450096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9948283,0.00026070199,0.002246888,0.00063025195,0.0011697328,0.0008641391],"domain_scores_gemma":[0.99465007,0.0018433564,0.00187599,0.00081049063,0.00024058536,0.0005795194],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010238911,0.00073391997,0.0022328165,0.00039290122,0.00021172011,0.00029859928,0.001347074,0.0007750355,0.0040390166],"category_scores_gemma":[0.0059720227,0.00063301914,0.0009276307,0.00050826237,0.00041538136,0.00015739907,0.0013854534,0.0025332286,0.00024704338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033419905,0.0018145941,0.0017752069,0.015080622,0.0030553907,0.0008730167,0.0073476583,0.000074519536,0.0063006426,0.9182143,0.037119955,0.008009897],"study_design_scores_gemma":[0.00094795565,0.00015574001,0.00028387105,0.0010180995,0.00044441942,0.0010270772,0.0006934898,0.0002933941,0.0016040652,0.9918926,0.0010629724,0.00057633454],"about_ca_topic_score_codex":0.000013341863,"about_ca_topic_score_gemma":0.0000068581735,"teacher_disagreement_score":0.14507832,"about_ca_system_score_codex":0.00017806354,"about_ca_system_score_gemma":0.00036308332,"threshold_uncertainty_score":0.99976796},"labels":[],"label_agreement":null},{"id":"W2992947321","doi":"10.1093/imrn/rnz294","title":"Excursions of Generic Geodesics in Right-Angled Artin Groups and Graph Products","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Excursion; Geodesic; Cusp (singularity); Graph; Distribution (mathematics); Pure mathematics; Artin group; Group (periodic table); Combinatorics; Mathematical analysis; Geometry; Weyl group","score_opus":0.11924972452676003,"score_gpt":0.39636293389778926,"score_spread":0.27711320937102923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2992947321","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9891216,0.00014794657,0.00041436165,0.0012942478,0.00022996112,0.00047679158,0.000011217942,0.000022599354,0.008281255],"genre_scores_gemma":[0.9773903,0.000058393012,0.020753909,0.000015037859,0.00006595453,0.00002962178,0.000005666627,0.000021506601,0.0016595983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977149,0.00014241255,0.0005534447,0.0003127638,0.00091282633,0.0003636801],"domain_scores_gemma":[0.9964454,0.0024437255,0.00021773427,0.00035813765,0.00046060688,0.00007440675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019453623,0.0001396511,0.00033562674,0.0010108824,0.00004861995,0.000046622747,0.00050499535,0.00009566666,0.0005036188],"category_scores_gemma":[0.0031523716,0.00011438377,0.000049958944,0.0008572161,0.0002434263,0.0001730873,0.0002777091,0.000323059,0.00007891344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004048909,0.0011563911,0.009155168,0.0009878332,0.00013096268,0.000025669315,0.002593821,0.000053715103,0.0047280514,0.97915494,0.001077448,0.0008955356],"study_design_scores_gemma":[0.0008394945,0.00016606424,0.0054073585,0.0002473974,0.000017183502,0.000020715568,0.0015372403,0.0055298284,0.004254434,0.9811891,0.00058741163,0.00020377559],"about_ca_topic_score_codex":0.000039473587,"about_ca_topic_score_gemma":0.000042116255,"teacher_disagreement_score":0.020339547,"about_ca_system_score_codex":0.00005133203,"about_ca_system_score_gemma":0.00006994357,"threshold_uncertainty_score":0.55142725},"labels":[],"label_agreement":null},{"id":"W2994382855","doi":"10.5802/afst.1604","title":"On the Tits alternative for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi mathvariant=\"italic\">PD</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> groups","year":2019,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Rank (graph theory); Group (periodic table); Mathematics; Combinatorics; Physics; Quantum mechanics","score_opus":0.0408468654479248,"score_gpt":0.29229770327294236,"score_spread":0.25145083782501754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994382855","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92763644,0.0010618642,0.003700547,0.0010957501,0.0010103383,0.00018441677,0.00052768626,0.00037810637,0.064404875],"genre_scores_gemma":[0.98175615,0.0012335505,0.011280703,0.0024973927,0.0009480321,0.00090845494,0.00022573111,0.0004238775,0.00072612945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99095,0.000761085,0.0017318072,0.0017835895,0.0021964058,0.0025771388],"domain_scores_gemma":[0.9903639,0.0051002507,0.0019812265,0.0014653774,0.000323177,0.000766043],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["sts","insufficient_payload"],"category_scores_codex":[0.00451096,0.0010474647,0.0006024521,0.0006316342,0.0021158997,0.0021191498,0.003082821,0.0017978507,0.0072830776],"category_scores_gemma":[0.0037375793,0.0012881662,0.001432947,0.0014302649,0.0036942272,0.0014729226,0.0015352601,0.0014611351,0.002748329],"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":[0.0003827507,0.00046616365,0.000025020718,0.001229493,0.0009170112,0.00037972454,0.011974409,0.0006129362,0.0010086105,0.9381627,0.043478884,0.001362318],"study_design_scores_gemma":[0.0027374097,0.0063429787,0.0003771818,0.0032229268,0.0019547327,0.0039469786,0.01716484,0.46453685,0.36629012,0.11990099,0.010148408,0.0033765796],"about_ca_topic_score_codex":0.0011476155,"about_ca_topic_score_gemma":0.00059514435,"teacher_disagreement_score":0.8182617,"about_ca_system_score_codex":0.00006337587,"about_ca_system_score_gemma":0.0011575538,"threshold_uncertainty_score":0.999498},"labels":[],"label_agreement":null},{"id":"W2994769272","doi":"","title":"","year":2015,"lang":"en","type":"article","venue":"Explore Bristol Research","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fundacja na rzecz Nauki Polskiej","keywords":"Cube (algebra); Mathematics; Action (physics); Group (periodic table); Combinatorics; Physics; Quantum mechanics","score_opus":0.8012820368282586,"score_gpt":0.5529850230816243,"score_spread":0.24829701374663427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2994769272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9796858,0.0007125494,0.004503599,0.00839934,0.00033129635,0.0007206888,0.0000052527903,0.00029196058,0.005349535],"genre_scores_gemma":[0.9864546,0.00003170535,0.008620904,0.000121164056,0.00052113604,0.00029319667,0.0000079593365,0.00007384189,0.0038754882],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99208945,0.0014776811,0.0006939602,0.0008146402,0.003019566,0.0019047183],"domain_scores_gemma":[0.99172544,0.0037256803,0.00012292613,0.0013125594,0.0018557027,0.0012576898],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.01158079,0.000296137,0.000614277,0.0014778883,0.0004794103,0.0001407034,0.0013501281,0.00025902977,0.00008805645],"category_scores_gemma":[0.035519376,0.00026215104,0.00014638928,0.0037633753,0.00094872824,0.00044072437,0.0009205854,0.0013662666,0.00039553514],"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":[0.0006830987,0.0015846355,0.01727813,0.00014673847,0.00012748044,0.0010449601,0.028996333,0.000008894202,0.00038280583,0.43318313,0.49600986,0.02055394],"study_design_scores_gemma":[0.0022513773,0.0009880998,0.0013195236,0.00003060126,0.000010415473,0.00015951841,0.03823857,0.000082979976,0.0014464686,0.92452955,0.030591214,0.00035166432],"about_ca_topic_score_codex":0.0006196994,"about_ca_topic_score_gemma":0.000118897835,"teacher_disagreement_score":0.49134645,"about_ca_system_score_codex":0.00044203925,"about_ca_system_score_gemma":0.00064444414,"threshold_uncertainty_score":0.9999831},"labels":[],"label_agreement":null},{"id":"W2995879901","doi":"10.2140/gt.2023.27.2237","title":"Large-scale geometry of big mapping class groups","year":2023,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Compact space; Countable set; Bounded function; Class (philosophy); Scale (ratio); Surface (topology); Locally compact space; Geometry; Space (punctuation); Pure mathematics; Topology (electrical circuits); Mathematical analysis; Combinatorics; Artificial intelligence; Computer science","score_opus":0.042693584516009325,"score_gpt":0.29443937822098465,"score_spread":0.2517457937049753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2995879901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975165,0.00037290616,0.012561186,0.0016413081,0.002544182,0.0003252096,0.00008044277,0.00044955531,0.006860212],"genre_scores_gemma":[0.99131703,0.00012580158,0.002765904,0.0003407564,0.00053723296,0.000048419814,0.00005264726,0.000065802735,0.0047463807],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99655455,0.00019533899,0.00091031886,0.00063968264,0.00041699657,0.0012831246],"domain_scores_gemma":[0.9962351,0.002139541,0.0003987951,0.0008770827,0.00015439422,0.0001951188],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014066715,0.0003508433,0.0010009534,0.0032864176,0.00019646449,0.000015283476,0.0006506068,0.0005453938,0.0021932109],"category_scores_gemma":[0.0021991485,0.0003399983,0.00030394623,0.0071937027,0.00043887197,0.000081397586,0.0005991778,0.0004935832,0.0007644863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012644127,0.0013836188,0.143911,0.0014258823,0.0009901461,0.0003421936,0.006487564,0.000074574615,0.0035447718,0.72040534,0.089063145,0.03224532],"study_design_scores_gemma":[0.0047123684,0.00097151566,0.10963186,0.00010871483,0.00028307087,0.00040480596,0.027022315,0.00076057034,0.0035102668,0.66419816,0.18672536,0.0016710017],"about_ca_topic_score_codex":0.000087101434,"about_ca_topic_score_gemma":0.0000713252,"teacher_disagreement_score":0.09766222,"about_ca_system_score_codex":0.000065419,"about_ca_system_score_gemma":0.00007613372,"threshold_uncertainty_score":0.9999052},"labels":[],"label_agreement":null},{"id":"W2996813639","doi":"10.1007/s13366-023-00689-9","title":"A virtual geometric action of a braid group","year":2023,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid group; Braid; Mathematics; Action (physics); Group (periodic table); Quotient; Center (category theory); Pure mathematics; Combinatorics; Physics; Crystallography; Materials science","score_opus":0.02346990315347675,"score_gpt":0.31911129211399974,"score_spread":0.295641388960523,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996813639","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88282394,0.028964343,0.06611707,0.0049351826,0.005546938,0.0035090682,0.006504403,0.0011460402,0.00045303773],"genre_scores_gemma":[0.98245317,0.0069015194,0.00091818185,0.00076003774,0.0018917896,0.00032022985,0.001352808,0.00030846614,0.005093789],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9856855,0.00087478146,0.003912963,0.002872046,0.0026142076,0.0040404536],"domain_scores_gemma":[0.9818247,0.009594978,0.0017530093,0.0024889584,0.0020164147,0.0023219273],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics","sts","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","bibliometrics","insufficient_payload"],"category_scores_codex":[0.0056607937,0.0020217819,0.003811644,0.02862935,0.0015579541,0.0005501645,0.0017568528,0.0021238173,0.0021581866],"category_scores_gemma":[0.02957051,0.0021456338,0.0012865891,0.08052888,0.0012573844,0.0009907163,0.0022231613,0.0020241237,0.0048890966],"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":[0.0015699848,0.0052652983,0.018928105,0.0026117226,0.01073017,0.00049766904,0.0018328312,0.00016189025,0.0040713986,0.6504915,0.08402391,0.21981555],"study_design_scores_gemma":[0.031713795,0.018308807,0.21404953,0.0021157146,0.014031159,0.0005006074,0.009077611,0.0015103859,0.022815417,0.25611192,0.41785833,0.011906717],"about_ca_topic_score_codex":0.0004153342,"about_ca_topic_score_gemma":0.00008782706,"teacher_disagreement_score":0.39437953,"about_ca_system_score_codex":0.00071067514,"about_ca_system_score_gemma":0.0007507258,"threshold_uncertainty_score":0.99974185},"labels":[],"label_agreement":null},{"id":"W3000412291","doi":"10.1103/physreve.101.016502","title":"Reply to “Comment on ‘Osmotic pressure of compressed lattice knots’ ”","year":2020,"lang":"en","type":"article","venue":"Physical review. E","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Limiting; Lattice (music); Physics; Knot (papermaking); Combinatorics; Lattice constant; Condensed matter physics; Materials science; Mathematics; Quantum mechanics","score_opus":0.0760413588197379,"score_gpt":0.37275265328207036,"score_spread":0.29671129446233246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3000412291","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13327195,0.012924667,0.009734222,0.80952734,0.00040534188,0.0045431573,0.000096244126,0.00040436324,0.02909272],"genre_scores_gemma":[0.9045131,0.00024584806,0.002080708,0.09272156,0.00021289597,0.00003404446,0.000003432499,0.000024431873,0.00016399013],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99883586,0.00011790991,0.00032187847,0.00026086654,0.00027450794,0.00018899937],"domain_scores_gemma":[0.99836993,0.00085326046,0.0001451664,0.00039647974,0.00006224438,0.00017290651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001362519,0.00014645411,0.0006282975,0.000028080427,0.000023903647,0.0000049837163,0.00027987195,0.000020258007,0.00020210934],"category_scores_gemma":[0.002137318,0.000113096154,0.00015372306,0.00035292804,0.000033097283,0.000023859446,0.00012559192,0.00016282682,0.00028512275],"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":[0.00004927863,0.0009971171,0.000090011235,0.0062851333,0.00015145796,0.0000065895542,0.0008368303,0.000020979267,0.0005774439,0.36999246,0.6137747,0.007217978],"study_design_scores_gemma":[0.00046481847,0.00083444087,0.0004292526,0.0011187876,0.0004182738,0.0000012308437,0.000025188483,0.0005059572,0.0035287393,0.12587802,0.8665314,0.00026389345],"about_ca_topic_score_codex":0.00001035774,"about_ca_topic_score_gemma":8.289e-8,"teacher_disagreement_score":0.7712411,"about_ca_system_score_codex":0.0000080061345,"about_ca_system_score_gemma":0.000013101303,"threshold_uncertainty_score":0.46119273},"labels":[],"label_agreement":null},{"id":"W3001019301","doi":"10.1007/s00574-021-00270-9","title":"Counting Salem Numbers of Arithmetic Hyperbolic 3-Orbifolds","year":2021,"lang":"en","type":"preprint","venue":"Bulletin of the Brazilian Mathematical Society New Series","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Korea Institute for Advanced Study; Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; 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":"Orbifold; Mathematics; Conjecture; Arithmetic; Geodesic; Degree (music); Spectrum (functional analysis); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.023124500204081067,"score_gpt":0.2679693645179816,"score_spread":0.2448448643139005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3001019301","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91087866,0.0027624136,0.009734749,0.039669715,0.0018920487,0.0024819435,0.00015931306,0.0004035867,0.03201759],"genre_scores_gemma":[0.48575225,0.00046952377,0.46924356,0.0009415239,0.0006420944,0.00008124197,0.00002871037,0.00028702893,0.042554077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961214,0.00022405117,0.0015321028,0.0006060874,0.00092805794,0.0005883156],"domain_scores_gemma":[0.99510306,0.0016006537,0.0012796546,0.0015469904,0.00029316626,0.00017646205],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000985434,0.0005879504,0.0017804293,0.000059708877,0.00016355935,0.000077650766,0.0013702387,0.00079946534,0.0041941726],"category_scores_gemma":[0.003023827,0.00044968238,0.0017230832,0.00048071763,0.0010871488,0.000033073342,0.0022371132,0.0009673134,0.000043660697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009262177,0.0020155385,0.0014137201,0.033767067,0.0033161903,0.000018996949,0.021299953,0.00011744708,0.0010675578,0.50398725,0.43028033,0.002623312],"study_design_scores_gemma":[0.000988517,0.00010354015,0.0009227407,0.0029278365,0.0010237641,0.00015003196,0.008986792,0.0001153787,0.0063323653,0.9566161,0.020885319,0.00094763323],"about_ca_topic_score_codex":0.00018491982,"about_ca_topic_score_gemma":0.000013455229,"teacher_disagreement_score":0.4595088,"about_ca_system_score_codex":0.00008376603,"about_ca_system_score_gemma":0.00044295494,"threshold_uncertainty_score":0.9997955},"labels":[],"label_agreement":null},{"id":"W3001704810","doi":"10.1112/s0010437x19007814","title":"L-spaces, taut foliations, and graph manifolds","year":2020,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","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 British Columbia","funders":"Engineering and Physical Sciences Research Council","keywords":"Graph; Foliation (geology); Manifold (fluid mechanics); Differential geometry; Dual graph","score_opus":0.04616525691722678,"score_gpt":0.28593832199494507,"score_spread":0.23977306507771828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3001704810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64838517,0.0017902973,0.24512343,0.039496243,0.00026639135,0.0013158672,0.000055035056,0.0010449197,0.062522665],"genre_scores_gemma":[0.92204106,0.000029904557,0.07657512,0.0008936117,0.000104125655,0.000026632439,0.0000068680324,0.00003081042,0.00029185938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891496,0.000052259413,0.00032891837,0.00025860054,0.00019628849,0.00024895062],"domain_scores_gemma":[0.9988869,0.00050373084,0.00012804402,0.00023776044,0.000046181445,0.0001973842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013976202,0.00018083365,0.00035671066,0.0001113815,0.00014374468,0.00006731558,0.00018853527,0.00008718773,0.0004143736],"category_scores_gemma":[0.000287707,0.00016212082,0.00007711115,0.00036112848,0.00009935464,0.00008453231,0.000117463685,0.00013470388,0.00016877183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007372959,0.000098001554,0.0001753085,0.00030729332,0.000061218154,0.0000156944,0.0015839278,4.2682208e-7,0.00033519202,0.9815577,0.015545328,0.0003125346],"study_design_scores_gemma":[0.00054466195,0.00014294588,0.00045301544,0.000050186158,0.00011619151,0.00008529727,0.000409631,0.00076811796,0.00041283586,0.9939016,0.0028463209,0.0002691691],"about_ca_topic_score_codex":0.000002620066,"about_ca_topic_score_gemma":9.859185e-7,"teacher_disagreement_score":0.27365592,"about_ca_system_score_codex":0.000012823494,"about_ca_system_score_gemma":0.000017968327,"threshold_uncertainty_score":0.6611095},"labels":[],"label_agreement":null},{"id":"W3003308685","doi":"10.1007/s12188-023-00266-w","title":"An Unexpected Cyclic Symmetry of $$I{\\mathfrak u}_n$$","year":2023,"lang":"lv","type":"article","venue":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","topic":"Geometric and Algebraic Topology","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","keywords":"Algorithm; Computer science","score_opus":0.029146497765760906,"score_gpt":0.29700843840402497,"score_spread":0.2678619406382641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003308685","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96606433,0.005940777,0.008970941,0.0007285589,0.000998873,0.0014930132,0.0003819869,0.0011391047,0.014282387],"genre_scores_gemma":[0.9623496,0.0010334823,0.0086573325,0.00010418169,0.00034026665,0.000025559757,0.0002492943,0.00029979186,0.02694051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99316657,0.0006010757,0.0016747492,0.0014597307,0.0012819503,0.0018159361],"domain_scores_gemma":[0.99266845,0.0022154336,0.001457287,0.002340681,0.0005266889,0.00079148286],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014705373,0.0011952078,0.0022273168,0.0025652116,0.0005834142,0.00013099586,0.0018876314,0.0012680568,0.0025485924],"category_scores_gemma":[0.000731446,0.0012600544,0.000713449,0.0060559115,0.00071777566,0.0013749583,0.0008211376,0.00090748415,0.0022700657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007428006,0.0061059706,0.0071200365,0.008270809,0.014153034,0.0045276564,0.07494415,0.00012474574,0.058667097,0.66144824,0.14477468,0.019120755],"study_design_scores_gemma":[0.023138553,0.0076949727,0.014556386,0.0079574585,0.030030051,0.0026048208,0.17102344,0.021871755,0.0945173,0.5486112,0.06469196,0.013302068],"about_ca_topic_score_codex":0.00021649383,"about_ca_topic_score_gemma":0.000035215864,"teacher_disagreement_score":0.11283704,"about_ca_system_score_codex":0.0003093033,"about_ca_system_score_gemma":0.00036719086,"threshold_uncertainty_score":0.99898493},"labels":[],"label_agreement":null},{"id":"W3003448374","doi":"10.1090/tran/8095","title":"Smoothly embedding Seifert fibered spaces in 𝑆⁴","year":2020,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; University of British Columbia","funders":"","keywords":"Fibered knot; Mathematics; Embedding; Pure mathematics; Artificial intelligence; Computer science","score_opus":0.031521386760281836,"score_gpt":0.2943266070827561,"score_spread":0.2628052203224743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003448374","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69632214,0.00023114582,0.26913366,0.030928,0.0001883817,0.0009118344,0.00011054935,0.00013313312,0.0020411662],"genre_scores_gemma":[0.95716465,0.00012765365,0.04070092,0.0010419118,0.00007921488,0.00002646537,0.0000010580507,0.00006329519,0.00079481915],"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99699897,0.0002568046,0.0010489882,0.00047024802,0.00057728327,0.0006477279],"domain_scores_gemma":[0.99663717,0.0016817506,0.0006865097,0.0006666321,0.00007940002,0.00024851903],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00046372192,0.0004168905,0.0012887719,0.000072977244,0.00021321414,0.000045187317,0.0008374297,0.00018373039,0.0014755074],"category_scores_gemma":[0.00054494856,0.0003166551,0.0011592217,0.0025586563,0.0015061164,0.00011332915,0.000083879786,0.0008636566,0.00011299009],"study_design_candidate":"qualitative","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015486979,0.021718616,0.007771107,0.03331863,0.012419685,0.00007646423,0.545069,0.021645866,0.020405428,0.18622394,0.057584845,0.09221771],"study_design_scores_gemma":[0.0077935667,0.0029697393,0.0072784508,0.002382141,0.004375118,0.00014632198,0.20084375,0.27599913,0.011639053,0.4780518,0.0045880065,0.003932918],"about_ca_topic_score_codex":0.00015964759,"about_ca_topic_score_gemma":0.000011374028,"teacher_disagreement_score":0.34422526,"about_ca_system_score_codex":0.000119089455,"about_ca_system_score_gemma":0.00014686219,"threshold_uncertainty_score":0.99992853},"labels":[],"label_agreement":null},{"id":"W3008124611","doi":"10.1093/imrn/rnaa007","title":"Removing a Ray from a Noncompact Symplectic Manifold","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Mathematics; Cotangent bundle; Symplectomorphism; Symplectic manifold; Symplectic geometry; Pure mathematics; Manifold (fluid mechanics); Complement (music); Trigonometric functions; Mathematical analysis; Geometry","score_opus":0.355167143635065,"score_gpt":0.46321633159574516,"score_spread":0.10804918796068014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008124611","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89098865,0.00016018593,0.026483433,0.019458167,0.0005636152,0.0006326808,0.00008031649,0.00030031934,0.06133264],"genre_scores_gemma":[0.950333,0.000019692701,0.04783214,0.00028733685,0.00065482326,0.000024861634,0.000012457335,0.000045959907,0.000789717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967305,0.00019130467,0.00057778426,0.00044331988,0.0015374785,0.00051962724],"domain_scores_gemma":[0.9924673,0.0062533487,0.00021880092,0.0003589186,0.00042447326,0.00027719067],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011397804,0.00021005464,0.00038649,0.0004066343,0.00017019585,0.0002580448,0.0011749808,0.00011789811,0.0030412406],"category_scores_gemma":[0.011392681,0.00018136643,0.00013575164,0.0006633024,0.00012572152,0.0002505308,0.00043938553,0.0006045906,0.0009992403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013026204,0.001074059,0.0015303161,0.000613064,0.00095762475,0.00035917194,0.018082466,0.00010291894,0.004745114,0.9441718,0.025614921,0.002618299],"study_design_scores_gemma":[0.0010720481,0.00023683305,0.00091097446,0.00024078743,0.00006038501,0.000020617981,0.0046362225,0.06144798,0.0013064384,0.9233166,0.0063382573,0.00041284025],"about_ca_topic_score_codex":0.00014445923,"about_ca_topic_score_gemma":0.000038452203,"teacher_disagreement_score":0.061345063,"about_ca_system_score_codex":0.00013888533,"about_ca_system_score_gemma":0.000109160275,"threshold_uncertainty_score":0.99977857},"labels":[],"label_agreement":null},{"id":"W3008160132","doi":"10.48550/arxiv.2002.11180","title":"Big Quantum cohomology of orbifold spheres","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Orbifold; Quantum cohomology; Mathematics; Cohomology; Pure mathematics; Isomorphism (crystallography); Cohomology ring; Ring (chemistry); Quantum; Equivariant cohomology; Algebra over a field; Physics; Quantum mechanics","score_opus":0.2078631128677618,"score_gpt":0.23008299376587227,"score_spread":0.022219880898110472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008160132","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92938304,0.00014141602,0.061213735,0.00022517554,0.0009241137,0.00031701353,0.00005999632,0.00017784903,0.0075576864],"genre_scores_gemma":[0.99698275,0.00011013151,0.0007731859,0.000070502385,0.00015399557,6.050116e-7,0.000015316198,0.00003456678,0.0018589144],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830824,0.00017984962,0.00035016498,0.0007395483,0.00008088234,0.0003413028],"domain_scores_gemma":[0.99785954,0.0005692851,0.0005164967,0.0007619496,0.00013715768,0.00015557311],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014776432,0.00031921643,0.00081593706,0.00029477317,0.00005297592,0.000008947201,0.0008223538,0.0005431453,0.00075552915],"category_scores_gemma":[0.00049044425,0.00034894198,0.00030666462,0.0006938621,0.00031970377,0.00003210683,0.001175456,0.00063859735,0.00011154057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078629935,0.00017217375,0.006729207,0.00045771332,0.00032601898,0.0004377335,0.0001553674,0.00081086595,0.00006177952,0.9857972,0.0047465363,0.00022673054],"study_design_scores_gemma":[0.000625767,0.00015504348,0.00073891174,0.000059462887,0.00032088943,0.000009242949,0.0005600589,0.004439953,0.00027666695,0.99164283,0.0007947321,0.000376426],"about_ca_topic_score_codex":0.00035590454,"about_ca_topic_score_gemma":0.00011283515,"teacher_disagreement_score":0.06759977,"about_ca_system_score_codex":0.000069781985,"about_ca_system_score_gemma":0.00021129959,"threshold_uncertainty_score":0.9998962},"labels":[],"label_agreement":null},{"id":"W3008524053","doi":"10.4153/s0008439520000703","title":"Left orderable surgeries of double twist knots II","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Twist; Combinatorics; Mathematics; Medicine; Geometry","score_opus":0.05010827792464975,"score_gpt":0.26114107527970604,"score_spread":0.21103279735505628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008524053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64259845,0.00032898883,0.004330438,0.11050042,0.00025087153,0.00091402134,0.00009168266,0.00024999195,0.24073511],"genre_scores_gemma":[0.9842893,0.000005781094,0.005354612,0.0013956268,0.00009151434,0.0000116571755,0.0000066936027,0.000041401257,0.008803453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99837595,0.00004195011,0.0005395148,0.00027346466,0.0002264472,0.0005426767],"domain_scores_gemma":[0.9981722,0.00053925713,0.00012535023,0.00031665064,0.00010458775,0.00074190355],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00030397926,0.00020633978,0.0005875331,0.00015952704,0.00015995564,0.000024199502,0.00030725118,0.00015559646,0.06477946],"category_scores_gemma":[0.0019384909,0.00018851938,0.00012867387,0.00033635375,0.00022579991,0.00002569508,0.00008651677,0.00020717575,0.002784755],"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":[0.000024216055,0.00008510107,0.00017643713,0.0005029047,0.000055233177,0.000047660007,0.0014485617,0.0000019013869,0.00006385541,0.8032115,0.19410211,0.0002804884],"study_design_scores_gemma":[0.0010823273,0.00022887913,0.0000808468,0.00009551781,0.00007730534,0.000060640494,0.00084953767,0.00009934118,0.0017277125,0.34740007,0.6477974,0.00050043775],"about_ca_topic_score_codex":0.00088885933,"about_ca_topic_score_gemma":0.0006183972,"teacher_disagreement_score":0.45581147,"about_ca_system_score_codex":0.00004899792,"about_ca_system_score_gemma":0.0002689419,"threshold_uncertainty_score":0.9979917},"labels":[],"label_agreement":null},{"id":"W3011619666","doi":"10.5802/ahl.110","title":"Homeomorphic subsurfaces and the omnipresent arcs","year":2021,"lang":"en","type":"article","venue":"Annales Henri Lebesgue","topic":"Geometric and Algebraic Topology","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 National de la Recherche Luxembourg; University of Manitoba; Université du Québec à Montréal; American Institute of Mathematics; National Science Foundation","keywords":"Construct (python library); Arc (geometry); Class (philosophy); Mathematics; Graph; Computer science; Combinatorics; Artificial intelligence; Geometry","score_opus":0.04523599998025405,"score_gpt":0.2941243811791886,"score_spread":0.24888838119893456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3011619666","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96612185,0.010650801,0.0010631185,0.014770953,0.0002305282,0.00018280948,0.000010488154,0.00006747332,0.0069019794],"genre_scores_gemma":[0.9908219,0.0011556775,0.0009918141,0.0006689182,0.00013380959,0.000015243201,0.0000071522004,0.000018264427,0.006187244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987427,0.00021581663,0.00025303508,0.0002615422,0.0002221757,0.0003047021],"domain_scores_gemma":[0.9978505,0.0014733325,0.00008274734,0.0003990855,0.000110066736,0.00008426825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004740052,0.00015188298,0.00032538024,0.00006890613,0.00018146724,0.000055625555,0.00018694319,0.00008401348,0.00037275712],"category_scores_gemma":[0.00088960654,0.00009898678,0.00009655519,0.00037148432,0.00045100925,0.00006236899,0.00018188442,0.00021271007,0.00006220955],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008009876,0.00022419824,0.007883385,0.00018538554,0.00027202972,0.00024961837,0.0025529063,0.000010169648,0.00023534428,0.9393808,0.04299235,0.005933707],"study_design_scores_gemma":[0.0031399813,0.00007894021,0.009836821,0.000056969024,0.00015048236,0.00057323417,0.003197841,0.0003094667,0.0026887695,0.8808698,0.09864856,0.0004491173],"about_ca_topic_score_codex":0.000059023834,"about_ca_topic_score_gemma":0.00014766869,"teacher_disagreement_score":0.058510993,"about_ca_system_score_codex":0.000008303846,"about_ca_system_score_gemma":0.000063033105,"threshold_uncertainty_score":0.4081429},"labels":[],"label_agreement":null},{"id":"W3012542970","doi":"10.18910/73735","title":"On diagrams of simplified trisections and mapping class groups","year":2020,"lang":"en","type":"article","venue":"Institutional Repositories DataBase (IRDB)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Fibration; Diffeomorphism; Simple (philosophy); Class (philosophy); Diagram; Point (geometry); Manifold (fluid mechanics); Pure mathematics; Surface (topology); Geometry; Computer science; Homotopy","score_opus":0.061855720959613496,"score_gpt":0.288007186951428,"score_spread":0.22615146599181452,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3012542970","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94202816,0.0002056367,0.048311036,0.0015248123,0.0011359861,0.00029620374,0.00036358405,0.000139692,0.0059949127],"genre_scores_gemma":[0.9962265,0.000028783485,0.0028029822,0.00022991869,0.00049937743,0.000020571213,0.00009711093,0.000011093939,0.000083682105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986949,0.0000503685,0.00041536766,0.00032234803,0.00032538112,0.00019165802],"domain_scores_gemma":[0.99851125,0.00078845193,0.00016894135,0.0002647967,0.00010798912,0.00015858705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001488116,0.00016092807,0.0002831097,0.00012829191,0.00029069034,0.000030525534,0.00014309463,0.00008950417,0.000041679785],"category_scores_gemma":[0.002684943,0.0001459349,0.00006884432,0.0005527488,0.0003250246,0.00019874537,0.0001429142,0.00022063694,0.000012376074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008051405,0.0001341479,0.0018461385,0.00015966332,0.000077838304,0.000051913463,0.00036901445,0.000024700006,0.0018867395,0.99054825,0.0044067884,0.00041429393],"study_design_scores_gemma":[0.01268772,0.0032301957,0.043898996,0.0013892521,0.0008909924,0.0017132858,0.0073240884,0.003340498,0.04858647,0.5284722,0.34494293,0.003523365],"about_ca_topic_score_codex":0.00007248685,"about_ca_topic_score_gemma":0.000013594635,"teacher_disagreement_score":0.46207604,"about_ca_system_score_codex":0.000047854493,"about_ca_system_score_gemma":0.00012087331,"threshold_uncertainty_score":0.5951053},"labels":[],"label_agreement":null},{"id":"W3016208443","doi":"10.4153/s0008439521000552","title":"On dual unit balls of Thurston norms","year":2021,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Polytope; Mathematics; Combinatorics; Unit sphere; Unit (ring theory); Homology (biology); Pure mathematics","score_opus":0.044652935538913016,"score_gpt":0.2847930792595896,"score_spread":0.24014014372067655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3016208443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8388122,0.00029366917,0.0028634802,0.009355673,0.00073391944,0.001061307,0.00022111076,0.00011858338,0.1465401],"genre_scores_gemma":[0.976484,0.00002423345,0.009054023,0.00094704604,0.00017648148,0.00007402943,0.000092980175,0.00011321254,0.013033989],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99706835,0.00016791825,0.0009183909,0.00060206885,0.00050719094,0.000736072],"domain_scores_gemma":[0.99556124,0.0018751194,0.00035318788,0.0012265791,0.0002304091,0.0007534537],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00066519505,0.0004870125,0.0012266455,0.0006031852,0.00008357317,0.00006930425,0.0006064034,0.00081846066,0.054036442],"category_scores_gemma":[0.005122109,0.00043838975,0.00036930095,0.00033106326,0.00028070444,0.000011145504,0.00034442186,0.0010939457,0.002490756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010065514,0.00028727896,0.000027722523,0.0019292393,0.00019241041,0.00033502578,0.00073948596,0.000017521395,0.000009523818,0.95509505,0.040798344,0.0005583143],"study_design_scores_gemma":[0.0004186025,0.00013368555,0.00015941836,0.0011776207,0.0001810875,0.000078059245,0.00071470765,0.00006527246,0.00028301767,0.98593843,0.010207501,0.00064258056],"about_ca_topic_score_codex":0.0014061666,"about_ca_topic_score_gemma":0.001452801,"teacher_disagreement_score":0.13767186,"about_ca_system_score_codex":0.00020552157,"about_ca_system_score_gemma":0.00091564725,"threshold_uncertainty_score":0.99980676},"labels":[],"label_agreement":null},{"id":"W3016241766","doi":"10.1090/pspum/102/03","title":"Virtual and welded periods of classical knots","year":2019,"lang":"en","type":"other","venue":"Proceedings of symposia in pure mathematics","topic":"Geometric and Algebraic Topology","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","keywords":"Welding; Computer graphics (images); Mathematics; Engineering; Computer science; Mechanical engineering","score_opus":0.016332605352284497,"score_gpt":0.26509865821839623,"score_spread":0.24876605286611173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3016241766","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13677602,0.0013543563,0.00024007741,0.0004245286,0.00035645705,0.0017671523,0.000059171038,0.00018329118,0.8588389],"genre_scores_gemma":[0.2633247,0.0009837501,0.09580141,0.000050730767,0.0004431942,0.000124655,0.000009791488,0.0013824538,0.6378793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979257,0.000007737271,0.00089998665,0.00038362693,0.00044778548,0.00033514667],"domain_scores_gemma":[0.99809605,0.0003694282,0.0011103009,0.00022246594,0.000120607336,0.00008113743],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00038704273,0.00041863363,0.0014631591,0.0008817226,0.000015094771,0.000021306725,0.00042050955,0.0007528014,0.0002577359],"category_scores_gemma":[0.0006794141,0.0003629121,0.00013459247,0.00047623526,0.00033613745,0.000054906035,0.00024377172,0.00037709367,0.000017342478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001343045,0.00048778518,0.00059148786,0.0076188613,0.0001448032,0.0000023009413,0.0020176107,7.069897e-8,0.0009583224,0.92676634,0.06094843,0.00045056644],"study_design_scores_gemma":[0.008454106,0.0031816897,0.00042254367,0.02017362,0.0016451593,0.00050029723,0.016847936,0.0008868823,0.0071359137,0.8058478,0.13114211,0.0037618962],"about_ca_topic_score_codex":0.000008425135,"about_ca_topic_score_gemma":0.000003835163,"teacher_disagreement_score":0.22095965,"about_ca_system_score_codex":0.000031310672,"about_ca_system_score_gemma":0.00005479558,"threshold_uncertainty_score":0.9998823},"labels":[],"label_agreement":null},{"id":"W3017139038","doi":"","title":"Hyperbolic groups that are not commensurably co-hopfian","year":2020,"lang":"en","type":"article","venue":"Oxford University Research Archive (ORA) (University of Oxford)","topic":"Geometric and Algebraic Topology","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":"Azrieli Foundation; Israel Science Foundation; National Science Foundation","keywords":"Mathematics; Torsion (gastropod); Pure mathematics; Zoology","score_opus":0.09088946085385806,"score_gpt":0.29083584876914825,"score_spread":0.19994638791529018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3017139038","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8934287,0.000042692056,0.012610176,0.015996391,0.00008549584,0.00084786257,0.0007866059,0.00024953496,0.07595256],"genre_scores_gemma":[0.98823285,0.00071323744,0.007132719,0.00025775933,0.00007627412,2.1108386e-7,0.00008013773,0.00004086966,0.003465947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.996064,0.00078111154,0.000212454,0.0007637536,0.0010762875,0.0011023643],"domain_scores_gemma":[0.99625254,0.0015840243,0.00031547924,0.000688764,0.0003341787,0.00082500686],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00076428714,0.00034339164,0.00080111297,0.0011130486,0.0011619343,0.000034892826,0.0020445427,0.0002347787,0.0010243017],"category_scores_gemma":[0.00047931902,0.00042677418,0.00038327987,0.0017723286,0.0015755594,0.0004760229,0.0014146691,0.0012090851,0.0000745697],"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":[0.0071682273,0.0021819859,0.18627615,0.0017555974,0.0017151536,0.0045940415,0.031255674,0.000047433583,0.0037646792,0.48720837,0.25555205,0.018480625],"study_design_scores_gemma":[0.0065017957,0.0016569294,0.0653588,0.00015198637,0.00020226804,0.000050074388,0.111519285,0.0011973896,0.00049372273,0.03409354,0.77770966,0.001064533],"about_ca_topic_score_codex":0.00043416637,"about_ca_topic_score_gemma":0.00052544073,"teacher_disagreement_score":0.5221576,"about_ca_system_score_codex":0.00020074323,"about_ca_system_score_gemma":0.00024450236,"threshold_uncertainty_score":0.9998889},"labels":[],"label_agreement":null},{"id":"W3018017090","doi":"10.1093/imrn/rnz350","title":"Givental’s Non-linear Maslov Index on Lens Spaces","year":2019,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Fundação para a Ciência e a Tecnologia; Natural Sciences and Engineering Research Council of Canada; Fundação Calouste Gulbenkian; Centre National de la Recherche Scientifique; Instituto Superior Técnico; Centre de Recherches Mathématiques; Agence Nationale de la Recherche; Deutsche Forschungsgemeinschaft","keywords":"Projective space; Mathematics; Conjecture; Rigidity (electromagnetism); Covering space; Invariant (physics); Pure mathematics; Projective test; Discriminant; Mathematical analysis; Computer science; Artificial intelligence; Engineering; Structural engineering","score_opus":0.14673414667040668,"score_gpt":0.43706072235386195,"score_spread":0.29032657568345527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3018017090","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84997237,0.000023009841,0.0012178117,0.0031238087,0.0008285489,0.00057648926,0.00002526418,0.00007692755,0.14415574],"genre_scores_gemma":[0.969394,0.000025452542,0.0081453975,0.0001093325,0.00029836068,0.00003525044,0.00001019775,0.00004728821,0.021934664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965776,0.00011080776,0.00047601035,0.00041969295,0.0018553403,0.00056053925],"domain_scores_gemma":[0.9949656,0.003711603,0.00021295331,0.0005409293,0.00045098513,0.00011789939],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0016314739,0.00022382395,0.00035374868,0.0009396898,0.00012168883,0.00014758373,0.001022786,0.00015851883,0.0035856883],"category_scores_gemma":[0.002224637,0.00018338571,0.00013322681,0.0004793368,0.00020183354,0.0002571289,0.0003689135,0.000640613,0.0047358233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001288319,0.0018965302,0.008545895,0.0006355856,0.00043382854,0.000076880715,0.0024477355,0.00034717593,0.0008275554,0.9704241,0.01314539,0.0010904565],"study_design_scores_gemma":[0.002916668,0.0011055989,0.0044289175,0.0008688702,0.000042930442,0.00006060279,0.008137175,0.07168446,0.004824738,0.8680753,0.036960118,0.0008945887],"about_ca_topic_score_codex":0.000049203503,"about_ca_topic_score_gemma":0.0000212258,"teacher_disagreement_score":0.12222108,"about_ca_system_score_codex":0.000153632,"about_ca_system_score_gemma":0.000082402425,"threshold_uncertainty_score":0.9973252},"labels":[],"label_agreement":null},{"id":"W3021995130","doi":"10.2140/agt.2023.23.2519","title":"A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; Centre de Recherches Mathématiques; Simons Foundation","keywords":"Mathematics; Mnemonic; Algebra over a field; Pure mathematics; Arithmetic; Linguistics; Philosophy","score_opus":0.07940645522354321,"score_gpt":0.35433807619780266,"score_spread":0.27493162097425944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3021995130","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8440065,0.005989419,0.091007836,0.038552426,0.009628746,0.0035413685,0.00011231827,0.0021950519,0.004966368],"genre_scores_gemma":[0.9642255,0.00042616396,0.0019101619,0.0012331004,0.00078647374,0.0006166771,0.000028781813,0.00010090011,0.030672282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99609697,0.00017875813,0.0008145126,0.0008436388,0.0005103652,0.0015557747],"domain_scores_gemma":[0.977462,0.02055367,0.00036443892,0.0011868292,0.00021778746,0.00021529359],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0022485377,0.00045157954,0.0007525843,0.0028003436,0.00070213893,0.00006295423,0.0014231274,0.00045100946,0.0014501896],"category_scores_gemma":[0.011038029,0.00033173896,0.00043207404,0.011665292,0.0006911167,0.00014096145,0.00044582895,0.0005233169,0.0013628885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001431695,0.00018923293,0.0024815237,0.000106366664,0.00037780454,0.000062096056,0.0006393644,0.000029075998,0.000093977236,0.7646935,0.15179037,0.07939352],"study_design_scores_gemma":[0.0019670823,0.0007710002,0.018332621,0.000016558508,0.00030089763,0.0002640582,0.0017160744,0.0007308847,0.0003632458,0.84740144,0.12745431,0.0006818447],"about_ca_topic_score_codex":0.0001271591,"about_ca_topic_score_gemma":0.00007655484,"teacher_disagreement_score":0.12021899,"about_ca_system_score_codex":0.00012240715,"about_ca_system_score_gemma":0.00019965337,"threshold_uncertainty_score":0.99991345},"labels":[],"label_agreement":null},{"id":"W3022381380","doi":"10.1017/s1474748021000189","title":"BIG MAPPING CLASS GROUPS WITH HYPERBOLIC ACTIONS: CLASSIFICATION AND APPLICATIONS","year":2021,"lang":"en","type":"preprint","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Type (biology); Mathematics; Mapping class group; Sigma; Space (punctuation); Bounded function; Class (philosophy); Cohomology; Pure mathematics; Surface (topology); Discrete mathematics; Mathematical analysis; Geometry; Computer science; Physics; Artificial intelligence","score_opus":0.09827644881929809,"score_gpt":0.30336289010825257,"score_spread":0.20508644128895448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3022381380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8463392,0.0010156604,0.14785206,0.0014897347,0.00082660274,0.00066778745,0.000020897109,0.000016798955,0.0017712129],"genre_scores_gemma":[0.8525321,0.00051587593,0.1464467,0.000025797126,0.00027107765,0.000026163107,0.0000030389285,0.000031891068,0.00014739155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975528,0.0000732208,0.0014267622,0.00019847046,0.00058546214,0.00016326054],"domain_scores_gemma":[0.9938881,0.00045776495,0.004092935,0.0008372442,0.0006413002,0.00008268499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007843313,0.00026411156,0.0009878094,0.000459576,0.00010886311,0.000042827134,0.00072923535,0.00028382387,0.000011375054],"category_scores_gemma":[0.00078554,0.00016888321,0.00030172445,0.000541675,0.0004771099,0.0001283486,0.000408914,0.00075522496,6.080678e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010697597,0.0057086246,0.0022921502,0.028479017,0.0046229255,0.000035053745,0.011980744,0.0028157535,0.014472586,0.8991515,0.0017102457,0.028624438],"study_design_scores_gemma":[0.0030214118,0.00036282357,0.008268541,0.011579156,0.0036195356,0.0026392983,0.023723995,0.0018251094,0.006388851,0.92868274,0.008822747,0.0010657683],"about_ca_topic_score_codex":0.000013406573,"about_ca_topic_score_gemma":0.000023172788,"teacher_disagreement_score":0.029531276,"about_ca_system_score_codex":0.00007616957,"about_ca_system_score_gemma":0.0005348463,"threshold_uncertainty_score":0.6886858},"labels":[],"label_agreement":null},{"id":"W3024398430","doi":"10.4171/aihpd/154","title":"Configuration polynomials under contact equivalence","year":2022,"lang":"en","type":"article","venue":"Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; École Polytechnique Fédérale de Lausanne; National Science Foundation","keywords":"Equivalence (formal languages); Mathematics; Pure mathematics; Algebra over a field; Computer science","score_opus":0.04728824595589216,"score_gpt":0.30296552149935324,"score_spread":0.2556772755434611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024398430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.915962,0.0008980662,0.05353099,0.0022212935,0.0021238278,0.0005301816,0.00016218277,0.00021995699,0.024351496],"genre_scores_gemma":[0.9976095,0.00010337888,0.00009435629,0.000530226,0.00015683557,0.000102333535,0.000037920643,0.000028691149,0.0013367835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854475,0.00017027007,0.00035903137,0.00033330958,0.00019568256,0.0003969385],"domain_scores_gemma":[0.99836385,0.00077933975,0.0002494419,0.00034535947,0.00012479877,0.00013719987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003139635,0.0002520417,0.00034690063,0.00017379459,0.0009500362,0.000089582456,0.00027227326,0.000054233988,0.00022805596],"category_scores_gemma":[0.0001151098,0.000245165,0.00015637357,0.00048147424,0.00011462462,0.00029688975,0.00025116088,0.00053333666,0.000018416582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023726278,0.00040465724,0.0005033301,0.000027627244,0.00012773953,0.000009235242,0.00094646466,0.00007523072,0.0010824451,0.9917713,0.0032806767,0.0017475723],"study_design_scores_gemma":[0.0006435775,0.00023514191,0.0006023693,0.000020631098,0.00005208248,0.00016737825,0.0026181366,0.00085321855,0.001390717,0.9555382,0.037561513,0.0003170172],"about_ca_topic_score_codex":0.00009770047,"about_ca_topic_score_gemma":0.000011182147,"teacher_disagreement_score":0.08164747,"about_ca_system_score_codex":0.00021697111,"about_ca_system_score_gemma":0.00017303556,"threshold_uncertainty_score":0.99975383},"labels":[],"label_agreement":null},{"id":"W3024641923","doi":"","title":"Ascent concordance","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Cobordism; Ribbon; Counterexample; Concordance; Conjecture; Surface (topology); Mathematics; Pure mathematics; Homology (biology); Simple (philosophy); Genus; Manifold (fluid mechanics); Combinatorics; Geometry; Bioinformatics; Engineering; Chemistry; Biology","score_opus":0.12335897272364786,"score_gpt":0.2244008244822247,"score_spread":0.10104185175857684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024641923","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8601164,0.00014308417,0.11160977,0.00013984811,0.0016307796,0.00050197425,0.000035814995,0.00023883517,0.025583474],"genre_scores_gemma":[0.9746283,0.00015759631,0.000745097,0.000104719664,0.00011957745,6.355659e-7,0.000013042182,0.000032238047,0.024198743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984221,0.00010630003,0.00022167468,0.0007873101,0.00007937303,0.00038325044],"domain_scores_gemma":[0.9980166,0.0003729306,0.00032205324,0.0010447412,0.00011678277,0.0001269034],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00020912143,0.00030955885,0.0005327387,0.00026704057,0.000066589295,0.00002230118,0.0007424626,0.00040824627,0.00057625584],"category_scores_gemma":[0.00020304871,0.0003417614,0.0002555201,0.0004083606,0.00014187304,0.000059569804,0.0009953099,0.00068117934,0.00066009606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047176298,0.00019008109,0.010078563,0.00038304925,0.0002225791,0.00027065419,0.00013195704,0.0073927105,0.000006929115,0.9715854,0.009318422,0.000372476],"study_design_scores_gemma":[0.0011238072,0.00009343062,0.00205403,0.00015000459,0.00027032004,0.000011604458,0.00030175413,0.014032588,0.000086664615,0.9731073,0.007988807,0.00077971723],"about_ca_topic_score_codex":0.00008282706,"about_ca_topic_score_gemma":0.000021332162,"teacher_disagreement_score":0.11451193,"about_ca_system_score_codex":0.00018772455,"about_ca_system_score_gemma":0.0001743571,"threshold_uncertainty_score":0.99990344},"labels":[],"label_agreement":null},{"id":"W3024765380","doi":"10.1007/s11856-020-2008-x","title":"Counting problems in graph products and relatively hyperbolic groups","year":2020,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Geometric and Algebraic Topology","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":"Mathematics; Coxeter group; Cayley graph; Coxeter graph; Artin group; Graph; Relatively hyperbolic group; Combinatorics; Hyperbolic group; Pure mathematics; Discrete mathematics; Hyperbolic manifold; Voltage graph; Line graph; Hyperbolic function; Mathematical analysis","score_opus":0.09106042849754122,"score_gpt":0.30634278791940667,"score_spread":0.21528235942186547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024765380","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9894393,0.0010687863,0.00029462102,0.007114104,0.00003999384,0.0008968134,0.000025219158,0.00006593357,0.0010552267],"genre_scores_gemma":[0.9961604,0.00025916455,0.0028222057,0.000025159181,0.00007715537,0.0000016197502,0.000016293572,0.00002190363,0.0006161076],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9973309,0.0003566286,0.00028751927,0.00077419647,0.00061989465,0.000630875],"domain_scores_gemma":[0.9982774,0.00047823298,0.00016287825,0.0004014127,0.0004850126,0.00019500987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001956732,0.00018247016,0.00046107662,0.0007913845,0.00025371014,0.000020971966,0.00052873057,0.000115476716,0.000058989877],"category_scores_gemma":[0.0040912894,0.00019468208,0.000050503382,0.0030390997,0.00094774214,0.0003641779,0.0005869303,0.0007812453,0.00004247183],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012583741,0.003907892,0.3300213,0.013145546,0.0010228337,0.0012039681,0.2731608,0.00020397834,0.06483977,0.16747452,0.10732928,0.03643177],"study_design_scores_gemma":[0.014805891,0.004491132,0.4435916,0.001097284,0.00021724189,0.0003098959,0.06424186,0.00064735976,0.010588502,0.30656293,0.15018417,0.00326214],"about_ca_topic_score_codex":0.0007560157,"about_ca_topic_score_gemma":0.00012242577,"teacher_disagreement_score":0.20891893,"about_ca_system_score_codex":0.00007857077,"about_ca_system_score_gemma":0.00019203073,"threshold_uncertainty_score":0.79389054},"labels":[],"label_agreement":null},{"id":"W3031516422","doi":"10.5802/aif.3319","title":"Large degree covers and sharp resonances of hyperbolic surfaces","year":2020,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Institut Universitaire de France; Agence Nationale de la Recherche","keywords":"Mathematics; Degree (music); Congruence subgroup; Hyperbolic geometry; Congruence (geometry); Regular polygon; Abelian group; Laplace operator; Pure mathematics; Kleinian group; Complex plane; Formalism (music); Mathematical analysis; Physics; Geometry; Differential geometry","score_opus":0.07008547455471884,"score_gpt":0.2853875968738067,"score_spread":0.21530212231908788,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3031516422","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.954317,0.027141606,0.00088652363,0.0059560165,0.0002457465,0.00031849428,0.00030024644,0.00006091711,0.010773488],"genre_scores_gemma":[0.9894573,0.003928499,0.0033768122,0.0016373128,0.0002810733,0.0000073671113,0.000013241518,0.000036708003,0.001261671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9977374,0.00012131724,0.0005874414,0.0004892854,0.0003725867,0.0006919402],"domain_scores_gemma":[0.9983595,0.00046329902,0.00034261416,0.00034662546,0.00012822675,0.00035970347],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042421796,0.00035848576,0.0007723736,0.00015253205,0.00020422,0.00005364268,0.00038933483,0.00031116643,0.00075585354],"category_scores_gemma":[0.001508254,0.00033860322,0.00017900414,0.00064556993,0.00064779416,0.00022943124,0.0002765116,0.0003630705,0.0001584228],"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":[0.0008346377,0.0013010113,0.15332186,0.004615282,0.0020522543,0.0009344073,0.044148,0.00022452275,0.0011799346,0.6277101,0.12629753,0.03738044],"study_design_scores_gemma":[0.00351039,0.0008232868,0.021258738,0.00040305525,0.0006895821,0.000109647386,0.0047725756,0.0044829096,0.00233416,0.017639864,0.942983,0.0009928335],"about_ca_topic_score_codex":0.000082311504,"about_ca_topic_score_gemma":0.00008864432,"teacher_disagreement_score":0.81668544,"about_ca_system_score_codex":0.000025066956,"about_ca_system_score_gemma":0.00027798087,"threshold_uncertainty_score":0.9999066},"labels":[],"label_agreement":null},{"id":"W3033185809","doi":"10.1007/s00454-020-00209-9","title":"An Exploration of Locally Spherical Regular Hypertopes","year":2020,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Geometric and Algebraic Topology","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":"York University","funders":"","keywords":"Mathematics; Coxeter group; Type (biology); Euclidean geometry; Pure mathematics; Quotient; Combinatorics; Geometry","score_opus":0.07086811436417499,"score_gpt":0.32146930646580785,"score_spread":0.25060119210163284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3033185809","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32280663,0.00008004596,0.67461896,0.0016405659,0.00006143183,0.00012743486,0.000018169876,0.00007830286,0.0005684398],"genre_scores_gemma":[0.9123304,0.0000034966056,0.086812645,0.0005463652,0.00014873293,0.000006412219,0.0000897283,0.000020895463,0.00004135358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998562,0.00009109378,0.00043179264,0.00029501045,0.00043275676,0.00018735515],"domain_scores_gemma":[0.99894446,0.00036597985,0.00017768695,0.0001682328,0.0001772867,0.00016634724],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016288178,0.00015039604,0.00032052308,0.00013170872,0.00006231305,0.000022286802,0.00023931496,0.00008761408,0.00041585273],"category_scores_gemma":[0.00050798256,0.0001375224,0.00009748202,0.0009981687,0.00012389528,0.0004045136,0.00006063656,0.00012673475,0.00004555541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028907554,0.0006783014,0.006144868,0.00036793228,0.00028356828,0.000045889312,0.00308672,0.07289658,0.00170114,0.88285387,0.004437801,0.027214268],"study_design_scores_gemma":[0.0015621142,0.0012840496,0.010909999,0.00003747755,0.00009985406,0.000020007697,0.0026533417,0.07820573,0.0014041152,0.9011609,0.0020590564,0.00060334324],"about_ca_topic_score_codex":0.000008524942,"about_ca_topic_score_gemma":7.347444e-7,"teacher_disagreement_score":0.58952373,"about_ca_system_score_codex":0.000015942229,"about_ca_system_score_gemma":0.00006588333,"threshold_uncertainty_score":0.5608001},"labels":[],"label_agreement":null},{"id":"W3034549112","doi":"10.1007/s10711-020-00547-1","title":"A curiously cubulated group","year":2020,"lang":"en","type":"preprint","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Group (periodic table); Computer science; Physics","score_opus":0.1090085222229576,"score_gpt":0.34205180030203247,"score_spread":0.23304327807907488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3034549112","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5845951,0.022283511,0.22932445,0.059294,0.022481622,0.009596732,0.0032598889,0.0072698225,0.06189488],"genre_scores_gemma":[0.9740369,0.0005731211,0.019082213,0.0013009966,0.0019442185,0.00016956705,0.0017790203,0.00020768629,0.00090631197],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99520785,0.0002169722,0.0012099505,0.0014528628,0.0009920129,0.00092038006],"domain_scores_gemma":[0.9950858,0.00136557,0.00087357644,0.0019125119,0.00015469409,0.0006078451],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011256415,0.0007350157,0.0015352193,0.0019756537,0.00014887401,0.00012479097,0.0020604464,0.0012246066,0.0024030816],"category_scores_gemma":[0.009586942,0.0006994387,0.00052535196,0.0035699569,0.00025674334,0.00007171075,0.0035547935,0.0022709204,0.00093797426],"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":[0.00023931163,0.0014808567,0.0021082882,0.0031577728,0.0027454847,0.0009791002,0.0014123679,0.000013654896,0.00022999427,0.15646988,0.78593516,0.045228116],"study_design_scores_gemma":[0.002139035,0.0002859149,0.0019162903,0.0002244863,0.0006776143,0.00008889463,0.00013525595,0.0003234662,0.00014845034,0.90583014,0.08689736,0.0013330883],"about_ca_topic_score_codex":0.00021290938,"about_ca_topic_score_gemma":0.000017376466,"teacher_disagreement_score":0.74936026,"about_ca_system_score_codex":0.00013716255,"about_ca_system_score_gemma":0.00028914167,"threshold_uncertainty_score":0.9998399},"labels":[],"label_agreement":null},{"id":"W3034760976","doi":"10.1017/prm.2021.11","title":"2-dimensional Coxeter groups are biautomatic","year":2021,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Coxeter group; Mathematics; Point group; Combinatorics","score_opus":0.024729885289181956,"score_gpt":0.2557431885659615,"score_spread":0.23101330327677955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3034760976","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9933304,0.000103269405,0.0013727712,0.0010349455,0.0006436582,0.00028314925,0.000009670153,0.0000947233,0.0031273833],"genre_scores_gemma":[0.9361205,0.00001352501,0.056252815,0.00017435188,0.0002944395,0.00002153064,0.0000012891014,0.00003727366,0.0070842607],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979591,0.000009838132,0.0007837055,0.0002650563,0.0006898035,0.00029254824],"domain_scores_gemma":[0.9972822,0.0004941063,0.001112315,0.00022055284,0.0008148646,0.00007594234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066310895,0.00023544428,0.00061352423,0.00006680803,0.00017473764,0.000025331248,0.00032954902,0.00023629931,0.0007580203],"category_scores_gemma":[0.0013218013,0.00017446282,0.0006409198,0.00081618543,0.00025378063,0.00009113883,0.00031159527,0.00030889866,0.0000018998508],"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":[0.000047983773,0.004616983,0.014994383,0.009689297,0.0018751683,0.0000032484097,0.01879777,0.00016225399,0.034400877,0.06764404,0.8471918,0.0005761788],"study_design_scores_gemma":[0.0024811358,0.0002620681,0.0034525397,0.0020067312,0.0009074053,0.00027523108,0.02470704,0.043463305,0.121454164,0.79868954,0.0014037556,0.0008971107],"about_ca_topic_score_codex":0.00000577478,"about_ca_topic_score_gemma":8.397606e-7,"teacher_disagreement_score":0.84578806,"about_ca_system_score_codex":0.00006584448,"about_ca_system_score_gemma":0.00006174011,"threshold_uncertainty_score":0.82997906},"labels":[],"label_agreement":null},{"id":"W3035679772","doi":"10.4171/ggd/703","title":"Relative hyperbolicity of hyperbolic-by-cyclic groups","year":2023,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Indo-French Centre for the Promotion of Advanced Research","keywords":"Mathematics; Pure mathematics; Relatively hyperbolic group; Mathematical analysis; Hyperbolic manifold; Hyperbolic function","score_opus":0.020165612969828123,"score_gpt":0.2700727068570918,"score_spread":0.24990709388726365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3035679772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98896796,0.00039280375,0.0065200254,0.0004042791,0.0002449918,0.00019604061,0.00014968112,0.00021624735,0.002907999],"genre_scores_gemma":[0.99588275,0.0003193095,0.00090134406,0.000100886886,0.00008295336,0.000014759366,0.000086689266,0.000040353923,0.0025709297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981895,0.000092557995,0.0005069014,0.00040121723,0.000299308,0.0005105117],"domain_scores_gemma":[0.9979066,0.0012304747,0.00023518376,0.00039396694,0.00007142923,0.00016231205],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005787277,0.0002673587,0.00059809815,0.00067939516,0.00016000583,0.000018909059,0.00025494362,0.00029001138,0.00008380035],"category_scores_gemma":[0.000844925,0.00024719522,0.00013212668,0.0026729696,0.0003036518,0.00017866466,0.00025967782,0.0003337649,0.000058633213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041434043,0.00024792436,0.03328345,0.00025481475,0.00018248608,0.000018974244,0.0007790485,0.0000075174576,0.0005420748,0.95146495,0.003281557,0.009895745],"study_design_scores_gemma":[0.0017997172,0.00044864812,0.05689889,0.000061223625,0.00020592316,0.000102995386,0.0026053598,0.007025462,0.0006632518,0.9282645,0.0011212783,0.00080274773],"about_ca_topic_score_codex":0.000067600915,"about_ca_topic_score_gemma":0.000026531136,"teacher_disagreement_score":0.023615437,"about_ca_system_score_codex":0.00004913243,"about_ca_system_score_gemma":0.000020119352,"threshold_uncertainty_score":0.99999803},"labels":[],"label_agreement":null},{"id":"W3036986365","doi":"10.1007/s00039-020-00536-2","title":"Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps","year":2020,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Torsion (gastropod); Pure mathematics; Compactification (mathematics); Cohomology; Manifold (fluid mechanics); Hyperbolic manifold; Mathematical analysis; Hyperbolic function","score_opus":0.03868597264962434,"score_gpt":0.23545730130636622,"score_spread":0.19677132865674188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036986365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9680266,0.00169355,0.028249789,0.0009462264,0.00004561801,0.00008795073,0.000014583091,0.0000410851,0.0008946324],"genre_scores_gemma":[0.99681586,0.00016446093,0.0016421302,0.0002026586,0.000106947315,0.000003588892,0.00001710321,0.000011893434,0.0010353312],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99872565,0.00003388651,0.00033125165,0.00038459952,0.0003442362,0.00018036886],"domain_scores_gemma":[0.9991528,0.00028344584,0.00014152328,0.00014419717,0.00010826822,0.00016976487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023236457,0.0001670328,0.0005100714,0.0015671238,0.000082840525,0.000023563278,0.000059975275,0.000093521994,0.0005765401],"category_scores_gemma":[0.00025646313,0.00011581642,0.00014480008,0.0074645886,0.00010230006,0.00008242597,0.000091869595,0.00012111982,0.000016132646],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00081930874,0.00052185095,0.84224486,0.0012908943,0.011925857,0.00007827829,0.0009899795,0.00040577262,0.00051470665,0.104760595,0.015883232,0.020564634],"study_design_scores_gemma":[0.003461232,0.0029016337,0.8906763,0.00008529408,0.02526007,0.00017483669,0.0026425517,0.024410648,0.000618844,0.03468054,0.013638255,0.0014497759],"about_ca_topic_score_codex":0.00007014924,"about_ca_topic_score_gemma":0.0000087456165,"teacher_disagreement_score":0.07008005,"about_ca_system_score_codex":0.000016668426,"about_ca_system_score_gemma":0.000018682118,"threshold_uncertainty_score":0.63127095},"labels":[],"label_agreement":null},{"id":"W3037050303","doi":"10.4171/cmh/518","title":"Self-referential discs and the light bulb lemma","year":2021,"lang":"en","type":"preprint","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","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":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Simply connected space; Physics; SPHERES; Torsion (gastropod); Boundary (topology); Pure mathematics; Mathematics; Combinatorics; Mathematical analysis; Biology; Anatomy","score_opus":0.04210182311529489,"score_gpt":0.29965056989669936,"score_spread":0.2575487467814045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037050303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76542073,0.009311252,0.036197506,0.11409364,0.0053001875,0.007919494,0.00014866983,0.001317035,0.060291506],"genre_scores_gemma":[0.9448069,0.000955889,0.046504114,0.0025826453,0.0006911911,0.00068484055,0.00015297637,0.00023071379,0.0033907408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958646,0.0005279868,0.0013012339,0.0008585225,0.00072574324,0.0007219133],"domain_scores_gemma":[0.99397844,0.0030299437,0.000772938,0.0018333076,0.00017358146,0.00021177158],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0014561114,0.00080449245,0.0016913858,0.00024255026,0.00041034175,0.00046232532,0.0011135048,0.0006011009,0.0015159703],"category_scores_gemma":[0.0009717267,0.0005342234,0.00048339053,0.0002878574,0.00045631648,0.000078165154,0.0040171174,0.0016185804,0.000058970832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007814824,0.0014180535,0.00012518304,0.004970445,0.002246978,0.00006317042,0.020408155,0.0000017810703,0.000019800375,0.94588536,0.023473956,0.0013089621],"study_design_scores_gemma":[0.0038792107,0.00008077195,0.00008274502,0.00074927876,0.002418574,0.0002011412,0.00563333,0.0009931676,0.00050762465,0.9751932,0.009281117,0.0009798316],"about_ca_topic_score_codex":0.00012855808,"about_ca_topic_score_gemma":0.00015674808,"teacher_disagreement_score":0.17938618,"about_ca_system_score_codex":0.00014645349,"about_ca_system_score_gemma":0.00017363785,"threshold_uncertainty_score":0.9997109},"labels":[],"label_agreement":null},{"id":"W3037183602","doi":"10.4171/ggd/349","title":"Systolizing buildings","year":2016,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"","keywords":"Mathematics; Coxeter group; Rank (graph theory); Type (biology); Combinatorics; Pure mathematics; Geology","score_opus":0.017653385028312017,"score_gpt":0.2589293265285961,"score_spread":0.2412759415002841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037183602","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83784324,0.00020448052,0.1584919,0.00073909265,0.0002543137,0.00008688386,0.000017303062,0.0001254875,0.0022372857],"genre_scores_gemma":[0.99119174,0.00008929653,0.006387631,0.00010960447,0.00010904475,0.000006323248,0.000002353303,0.000021841475,0.0020821681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989246,0.000030787636,0.0002476635,0.00028251778,0.00015128661,0.0003631353],"domain_scores_gemma":[0.9987515,0.0007334081,0.0001029035,0.000248004,0.000040304676,0.00012385382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034531057,0.00016110252,0.00026757357,0.0003499133,0.00012637344,0.000024899078,0.00015444722,0.00014380136,0.00012893318],"category_scores_gemma":[0.0006967862,0.00010727167,0.000060239876,0.0005337667,0.00013858746,0.00013459117,0.00013683982,0.00010378593,0.00003701208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010052546,0.000036665,0.013531106,0.000068174035,0.000031197345,0.000013132755,0.00005488836,1.6937273e-7,0.00015043111,0.93922114,0.00039731065,0.046485756],"study_design_scores_gemma":[0.0012900503,0.00017537744,0.008676304,0.000121130666,0.00007716907,0.0003525189,0.0005529869,0.0005298731,0.00012772305,0.9839226,0.003639608,0.0005346849],"about_ca_topic_score_codex":0.000011471608,"about_ca_topic_score_gemma":0.000010528356,"teacher_disagreement_score":0.15334849,"about_ca_system_score_codex":0.00006479943,"about_ca_system_score_gemma":0.000012139684,"threshold_uncertainty_score":0.43744117},"labels":[],"label_agreement":null},{"id":"W3037350132","doi":"10.4153/s0008439520000582","title":"The Klein bottle group is not strongly verbally closed, though awfully close to being so","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Retract; Group (periodic table); Klein bottle; Bottle","score_opus":0.026567030034944372,"score_gpt":0.2600434190003637,"score_spread":0.23347638896541933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037350132","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3563086,0.0002841598,0.015438107,0.5567886,0.00052762043,0.0022038387,0.00020575797,0.00040527096,0.06783803],"genre_scores_gemma":[0.9486651,0.000014080125,0.018069277,0.024949642,0.0006172223,0.000100550664,0.000008364103,0.00012826275,0.007447494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99692297,0.00014137228,0.0007043984,0.0005678321,0.0005007871,0.0011626632],"domain_scores_gemma":[0.99588126,0.0016243,0.00012878135,0.00067688315,0.00010208494,0.0015867016],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00070769887,0.00037863958,0.0005605669,0.00014500151,0.0005856668,0.00024748943,0.00091915147,0.00023209887,0.009661016],"category_scores_gemma":[0.0044760373,0.0002949985,0.00021855342,0.00058057095,0.00025161033,0.000036340698,0.00019094192,0.0005005601,0.016521614],"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":[0.00003229064,0.000043461994,0.000026161022,0.00011023161,0.00006674713,0.00009208756,0.0018762343,0.0000012165723,0.000057376103,0.70690984,0.28728512,0.0034992618],"study_design_scores_gemma":[0.00054241804,0.00024802922,0.00013612772,0.000060785995,0.000075008815,0.000029074168,0.0009009022,0.0001598704,0.00021311593,0.2367992,0.760363,0.00047248916],"about_ca_topic_score_codex":0.0005924518,"about_ca_topic_score_gemma":0.0012247595,"teacher_disagreement_score":0.5923565,"about_ca_system_score_codex":0.00017610016,"about_ca_system_score_gemma":0.00030680484,"threshold_uncertainty_score":0.99995023},"labels":[],"label_agreement":null},{"id":"W3039667880","doi":"10.4171/dm/828","title":"Non-commensurable hyperbolic manifolds with the same trace ring","year":2021,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Geometric and Algebraic Topology","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":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; TRACE (psycholinguistics); Pure mathematics; Ring (chemistry); Mathematical analysis","score_opus":0.025156764338066774,"score_gpt":0.2833444715044279,"score_spread":0.2581877071663611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039667880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.897776,0.00034185793,0.0052310894,0.013536638,0.00015093097,0.0005584997,0.0000071245763,0.0001717429,0.08222608],"genre_scores_gemma":[0.95824087,0.000030301819,0.016897446,0.00082482834,0.00010459413,0.00009348487,0.0000048181996,0.000066537345,0.023737118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99835104,0.00007304623,0.0003592012,0.00033340443,0.00038481946,0.00049850874],"domain_scores_gemma":[0.99801487,0.0008275689,0.00016562079,0.000814719,0.00007358425,0.00010366724],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00045647778,0.0002605344,0.0004507662,0.00008187945,0.0002547308,0.00013937183,0.000382455,0.000081707905,0.0023296806],"category_scores_gemma":[0.00015974951,0.0001605328,0.00010911667,0.0005748371,0.000112969276,0.0001544611,0.00016548023,0.00024575167,0.000271883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030490199,0.00090935966,0.0006093159,0.00067463075,0.00055645366,0.00030080252,0.0061708745,0.000005924164,0.0013693406,0.9409496,0.046293676,0.0021295003],"study_design_scores_gemma":[0.0036723162,0.0003349397,0.0010711593,0.0004094281,0.00072188093,0.0025329879,0.020571124,0.00052047585,0.03070957,0.8872967,0.0508797,0.0012797469],"about_ca_topic_score_codex":0.00001963729,"about_ca_topic_score_gemma":0.000021815367,"teacher_disagreement_score":0.060464837,"about_ca_system_score_codex":0.000052513962,"about_ca_system_score_gemma":0.000056449684,"threshold_uncertainty_score":0.9985823},"labels":[],"label_agreement":null},{"id":"W3041468876","doi":"10.4153/s0008439520000533","title":"Geography of simply connected nonspin symplectic 4-manifolds with positive signature. II","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Mathematics; Symplectic geometry; Signature (topology); Construct (python library); Simply connected space; Pure mathematics; Lambda; Function (biology); Sigma; Geometry; Computer science","score_opus":0.015716835423639892,"score_gpt":0.22495686981568086,"score_spread":0.20924003439204097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3041468876","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89111996,0.00020429037,0.012410477,0.0531447,0.000077457975,0.0014329172,0.00022890874,0.00024026458,0.041140996],"genre_scores_gemma":[0.9905978,0.0000029792325,0.006093162,0.0029238097,0.00006307667,0.000025392215,0.000014400743,0.000051932577,0.00022746497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981048,0.0000974345,0.0004894726,0.00038543687,0.00029751993,0.0006253182],"domain_scores_gemma":[0.9974097,0.0010242576,0.00018112837,0.00031728155,0.00020218783,0.00086543144],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002049872,0.00029820332,0.0006583978,0.00033755312,0.00017526788,0.000022882916,0.00034672453,0.00022395897,0.01226783],"category_scores_gemma":[0.0018744501,0.00024574224,0.0001476544,0.0009592871,0.00028286944,0.00002513549,0.00006365234,0.00034921028,0.00062589085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092839895,0.0002648329,0.0006398255,0.00064261095,0.00044424788,0.0003032447,0.0018562333,0.0000064549536,0.00022381042,0.950909,0.04427935,0.00033753106],"study_design_scores_gemma":[0.005177108,0.0062061814,0.005167749,0.0008456572,0.001157431,0.0005220996,0.0027333656,0.0007126134,0.0044096285,0.93853575,0.031963583,0.0025688368],"about_ca_topic_score_codex":0.0006024957,"about_ca_topic_score_gemma":0.0006052384,"teacher_disagreement_score":0.0994778,"about_ca_system_score_codex":0.000058153117,"about_ca_system_score_gemma":0.00025090994,"threshold_uncertainty_score":0.99999946},"labels":[],"label_agreement":null},{"id":"W3043405408","doi":"10.1112/blms.12500","title":"Abelian subgroups of two‐dimensional Artin groups","year":2021,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Instytut Matematyczny, Polskiej Akademii Nauk; Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki; Fonds de recherche du Québec – Nature et technologies; Narodowym Centrum Nauki","keywords":"Abelian group; Artin L-function; Artin group; Locally finite group; Torsion subgroup; Rank of an abelian group; Elementary abelian group","score_opus":0.022761929812595467,"score_gpt":0.27036404076962506,"score_spread":0.24760211095702958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043405408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97834015,0.00037746158,0.0029642629,0.0117419055,0.00022450773,0.00033352876,0.000024146451,0.00005961976,0.0059344047],"genre_scores_gemma":[0.87565553,0.00001651254,0.11519275,0.0008713784,0.00011238526,0.000018160556,0.0000042957026,0.000047774778,0.008081202],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977922,0.0001801759,0.0007984286,0.00027607233,0.0006009686,0.00035217285],"domain_scores_gemma":[0.9967218,0.0018683105,0.00040881167,0.000693751,0.00021517965,0.00009215396],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008806915,0.00020713017,0.00063735433,0.000025450165,0.00010491109,0.000010074594,0.00041624965,0.00016627206,0.005578035],"category_scores_gemma":[0.0017324695,0.00014027336,0.0007547268,0.00044963325,0.0004534507,0.000012253357,0.00044280422,0.00028848345,0.00010631332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019560204,0.0012722288,0.00072489225,0.0010048285,0.00026942044,0.0000068962095,0.0008207765,0.000028564604,0.005639974,0.8828416,0.10696659,0.0004046665],"study_design_scores_gemma":[0.0012882642,0.00005829246,0.00060065195,0.00020596624,0.00016838005,0.00007912305,0.00038269174,0.0002899319,0.030173298,0.9624459,0.004081878,0.00022560496],"about_ca_topic_score_codex":0.000012347799,"about_ca_topic_score_gemma":0.000001728469,"teacher_disagreement_score":0.11222848,"about_ca_system_score_codex":0.000030599356,"about_ca_system_score_gemma":0.00006603488,"threshold_uncertainty_score":0.995331},"labels":[],"label_agreement":null},{"id":"W3045520051","doi":"10.4310/cag.241212010432","title":"Existence of mASD connections on 4-manifolds with cylindrical ends","year":2024,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Corollary; Degenerate energy levels; Mathematics; Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Geology; Physics; Engineering","score_opus":0.061773493279660585,"score_gpt":0.35689874113284026,"score_spread":0.2951252478531797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045520051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.931491,0.004684817,0.027538907,0.0033480555,0.000061029536,0.00017415229,0.000035210225,0.00009916624,0.03256762],"genre_scores_gemma":[0.9877557,0.0006308677,0.010873066,0.000033978034,0.000009059027,0.000018020184,0.000014048829,0.000007911336,0.00065733975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913025,0.000093348484,0.00031792297,0.00019918982,0.00013284494,0.00012645259],"domain_scores_gemma":[0.9971146,0.0016965112,0.00006887632,0.0010218265,0.000055789074,0.000042371372],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038986077,0.00009777264,0.0003175047,0.0019749107,0.00008919768,0.00002759245,0.00034434948,0.00007544761,0.00015106738],"category_scores_gemma":[0.0002722904,0.00007577468,0.00010152733,0.0064546936,0.00023955734,0.00004590587,0.00014602838,0.00024908147,0.000007689942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000072474772,0.00031508636,0.02855501,0.00005522932,0.0006484872,0.000004641315,0.0003617097,0.000036593792,0.000011518393,0.9611355,0.00010318891,0.0087658055],"study_design_scores_gemma":[0.0018912958,0.0014222681,0.38453528,0.00077277614,0.0070657716,0.00012798575,0.009647704,0.07266622,0.0006565928,0.49922284,0.020516112,0.0014751655],"about_ca_topic_score_codex":0.000086755295,"about_ca_topic_score_gemma":0.00034160455,"teacher_disagreement_score":0.46191263,"about_ca_system_score_codex":0.000026971346,"about_ca_system_score_gemma":0.000025558398,"threshold_uncertainty_score":0.31012663},"labels":[],"label_agreement":null},{"id":"W3045713089","doi":"10.1007/s00039-021-00575-3","title":"Sweepouts of closed Riemannian manifolds","year":2021,"lang":"en","type":"preprint","venue":"Geometric and Functional Analysis","topic":"Geometric and Algebraic Topology","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":"Agence Nationale de la Recherche","keywords":"Mathematics; Riemannian manifold; Manifold (fluid mechanics); Pure mathematics; Closed manifold; Dimension (graph theory); Bounded function; Polyhedron; Disjoint sets; Minimal volume; Combinatorics; Mathematical analysis; Pseudo-Riemannian manifold; Geometry; Ricci curvature; Invariant manifold","score_opus":0.04339935472733551,"score_gpt":0.27474867299471567,"score_spread":0.23134931826738014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045713089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8562931,0.010111706,0.12809506,0.00052427413,0.00091054814,0.00020717121,0.00015225052,0.00010628343,0.0035996058],"genre_scores_gemma":[0.98989034,0.0004140276,0.0035838585,0.000069322305,0.00025207317,0.000022463099,0.0003081172,0.00002614529,0.005433664],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.997352,0.00008978835,0.00080536876,0.0007844657,0.0006566834,0.0003116994],"domain_scores_gemma":[0.99762356,0.000816844,0.00045364516,0.0005694694,0.00038537823,0.00015110437],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006244991,0.00036286292,0.0012797684,0.0059774676,0.0000893548,0.00008121722,0.00018518999,0.00049980026,0.002233671],"category_scores_gemma":[0.00076175574,0.00031932528,0.00096016686,0.010007998,0.00013840303,0.00004747608,0.00068717333,0.00054166163,0.000022748809],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035121603,0.004068031,0.35291213,0.011732858,0.17635876,0.00076378766,0.00250889,0.0068555535,0.00017712283,0.33115372,0.044873197,0.06824474],"study_design_scores_gemma":[0.0012337683,0.00024936418,0.5493261,0.00019461232,0.0442125,0.00009738347,0.002131732,0.004597455,0.00021523809,0.39275792,0.0032380424,0.0017458788],"about_ca_topic_score_codex":0.00026625756,"about_ca_topic_score_gemma":0.000048101432,"teacher_disagreement_score":0.19641398,"about_ca_system_score_codex":0.000056113786,"about_ca_system_score_gemma":0.00013235581,"threshold_uncertainty_score":0.9999259},"labels":[],"label_agreement":null},{"id":"W3047460905","doi":"10.4230/lipics.icalp.2021.86","title":"Automorphism groups of maps in linear time","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Javna Agencija za Raziskovalno Dejavnost RS; Japan Society for the Promotion of Science; Agentúra na Podporu Výskumu a Vývoja; Grantová Agentura České Republiky","keywords":"Automorphism; Mathematics; Embedding; Combinatorics; Antipodal point; Homeomorphism (graph theory); Surface (topology); Isomorphism (crystallography); Inner automorphism; SO(8); Automorphism group; Geometry; Computer science; Artificial intelligence; Crystallography","score_opus":0.10953893765853805,"score_gpt":0.21433595676513142,"score_spread":0.10479701910659338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3047460905","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9740808,0.000054894736,0.017431166,0.00030964552,0.00038271717,0.0003997299,0.000087950575,0.00017364578,0.007079444],"genre_scores_gemma":[0.99448943,0.000048997576,0.0016569087,0.000051033305,0.000071577975,4.9724645e-7,0.00003272975,0.000028754483,0.0036200527],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985812,0.00012902013,0.00033238326,0.0006049337,0.00007891176,0.00027357947],"domain_scores_gemma":[0.9985498,0.00034490597,0.000344852,0.00057084224,0.00007385995,0.000115741204],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00022683466,0.00025906903,0.0006741098,0.0004943617,0.000027176555,0.0000057360835,0.00063320174,0.00042310555,0.0004956173],"category_scores_gemma":[0.00030732612,0.00030105002,0.00021321015,0.0008590753,0.00016318673,0.000049325714,0.00094098656,0.00066910073,0.00025739538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015370313,0.00057930755,0.006889597,0.000949969,0.00032712688,0.0014918913,0.00082878396,0.0069757523,0.00015426919,0.97417396,0.0072458275,0.0002298334],"study_design_scores_gemma":[0.00097481144,0.000093881885,0.0013045606,0.00011921006,0.00015435144,0.0000055818073,0.00015076679,0.03395131,0.00012363425,0.96220714,0.0005061807,0.00040859552],"about_ca_topic_score_codex":0.00011222722,"about_ca_topic_score_gemma":0.000017582455,"teacher_disagreement_score":0.026975557,"about_ca_system_score_codex":0.0001051341,"about_ca_system_score_gemma":0.00013024287,"threshold_uncertainty_score":0.99994415},"labels":[],"label_agreement":null},{"id":"W3049221433","doi":"10.1112/blms.12950","title":"Links all of whose cyclic‐branched covers are L‐spaces","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Mathematics; Bridge (graph theory); Space (punctuation); Combinatorics; Pure mathematics; Computer science","score_opus":0.03712464259516793,"score_gpt":0.2899937207193098,"score_spread":0.25286907812414183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3049221433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96298516,0.00017925698,0.0019412602,0.028179193,0.0002554699,0.0007096369,0.000048755068,0.00022693018,0.0054743364],"genre_scores_gemma":[0.95833117,0.00017583706,0.025369449,0.00111753,0.00012756446,0.000045216148,0.00000510653,0.000079937934,0.014748184],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979898,0.00012578664,0.0006615929,0.00025450732,0.00055867253,0.00040965626],"domain_scores_gemma":[0.9959578,0.0026110664,0.0005800565,0.0006617635,0.000100156794,0.00008918851],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010052661,0.00022438074,0.00070705503,0.00005157535,0.000087911256,0.000014192282,0.00062967977,0.0003818865,0.0013048834],"category_scores_gemma":[0.002564852,0.00014865516,0.00074043166,0.0006178113,0.0004833393,0.000014077452,0.00039544742,0.00041756357,0.00027085975],"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":[0.00004886666,0.0008216076,0.0017195363,0.0028797113,0.0006564427,0.000005142264,0.0051092464,0.000053902317,0.002441807,0.23470685,0.750937,0.00061988307],"study_design_scores_gemma":[0.0020908637,0.00014149933,0.0023573907,0.0005176365,0.00035663502,0.000017213186,0.00469331,0.00050856726,0.011607153,0.8915893,0.085644044,0.0004764284],"about_ca_topic_score_codex":0.000018773702,"about_ca_topic_score_gemma":0.0000011437633,"teacher_disagreement_score":0.665293,"about_ca_system_score_codex":0.000029163737,"about_ca_system_score_gemma":0.000027247668,"threshold_uncertainty_score":0.99960804},"labels":[],"label_agreement":null},{"id":"W3080750523","doi":"10.2140/agt.2023.23.2271","title":"Adequate links in thickened surfaces and the generalized Tait conjectures","year":2023,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Skein; Bracket polynomial; Mathematics; Skein relation; Diagram; Sigma; Generalization; Bracket; Surface (topology); Pure mathematics; Combinatorics; Link (geometry); Algebra over a field; Geometry; Knot theory; Mathematical analysis; Polynomial; Physics; Quantum mechanics","score_opus":0.0339616196124764,"score_gpt":0.3005570840389345,"score_spread":0.2665954644264581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3080750523","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9737588,0.004456749,0.00047872873,0.017372884,0.0010963714,0.0006941112,0.0000118360285,0.00032064534,0.0018098857],"genre_scores_gemma":[0.9915844,0.0008407218,0.0005892938,0.0014730649,0.00017926781,0.00013556545,0.000018436323,0.000051936226,0.005127268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996165,0.0007892028,0.00084955565,0.00071335916,0.0003835391,0.0010993844],"domain_scores_gemma":[0.98977184,0.00901572,0.00030495934,0.00066174933,0.00009089703,0.00015485713],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0026144583,0.00041321624,0.0010439514,0.002776354,0.0002677635,0.000058011807,0.00064080924,0.0007302544,0.0011804092],"category_scores_gemma":[0.0058847107,0.00028108907,0.00017704304,0.008079758,0.0012874975,0.00009665304,0.0004590631,0.0009578095,0.00030540605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022377042,0.00010009801,0.0086054625,0.00006810344,0.0002758776,0.00015166203,0.0024883193,0.000053342214,0.000041049683,0.9633628,0.012551905,0.012077625],"study_design_scores_gemma":[0.008187754,0.00024858923,0.051654242,0.00001651557,0.00013869237,0.00018724315,0.0017453923,0.0006226541,0.00021591937,0.9302423,0.0061611724,0.0005795262],"about_ca_topic_score_codex":0.0010452612,"about_ca_topic_score_gemma":0.00033078203,"teacher_disagreement_score":0.043048777,"about_ca_system_score_codex":0.00004869554,"about_ca_system_score_gemma":0.00009098617,"threshold_uncertainty_score":0.9999641},"labels":[],"label_agreement":null},{"id":"W3081426668","doi":"10.4310/mrl.2020.v27.n3.a1","title":"From automorphisms of Riemann surfaces to smooth $4$-manifolds","year":2020,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Geometric and Algebraic Topology","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; Automorphism; Pure mathematics; Riemann hypothesis; Riemann surface; Mathematical analysis","score_opus":0.16888531669234688,"score_gpt":0.39469629518115706,"score_spread":0.22581097848881018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3081426668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8861696,0.00003181499,0.03389439,0.07678305,0.00005331775,0.0005328012,0.00003775881,0.00011639351,0.0023808365],"genre_scores_gemma":[0.946179,0.0000028517813,0.051255185,0.0020166454,0.0002001773,0.000037089932,0.000004610321,0.000046351728,0.00025811364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660856,0.00030640108,0.0005953433,0.0004631889,0.0013144889,0.00071201107],"domain_scores_gemma":[0.99405724,0.004652866,0.00009243608,0.0005215275,0.00015507317,0.00052088394],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013666906,0.0002020431,0.00061403,0.00026607758,0.00009339551,0.00005025848,0.000765093,0.00011743707,0.00283217],"category_scores_gemma":[0.009189461,0.00016517944,0.0001325753,0.0012024385,0.0003711697,0.0000743032,0.00044190546,0.00045986378,0.0013430925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017266237,0.0006770128,0.00046368947,0.0011026792,0.00029372046,0.00024816327,0.014999551,0.000039824667,0.09255507,0.47610432,0.41073734,0.00260597],"study_design_scores_gemma":[0.0009014502,0.00059307454,0.00077633443,0.00019121383,0.000053066586,0.000004797142,0.0016940613,0.0017132115,0.016974758,0.96788055,0.008798003,0.00041946396],"about_ca_topic_score_codex":0.00008323539,"about_ca_topic_score_gemma":0.0000031587215,"teacher_disagreement_score":0.49177626,"about_ca_system_score_codex":0.000054122167,"about_ca_system_score_gemma":0.000057667738,"threshold_uncertainty_score":0.9994345},"labels":[],"label_agreement":null},{"id":"W3085108322","doi":"10.1142/s1793525321500564","title":"On the Hofer girth of the sphere of great circles","year":2021,"lang":"en","type":"preprint","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation","keywords":"Infimum and supremum; Embedding; Combinatorics; Mathematics; Norm (philosophy); Physics; Computer science; Philosophy","score_opus":0.030824309566760577,"score_gpt":0.2899135004241793,"score_spread":0.2590891908574187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3085108322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99182993,0.0017572914,0.0012856204,0.0041497126,0.00027528434,0.00005593349,0.000013761907,0.0000018356301,0.0006306169],"genre_scores_gemma":[0.998221,0.0003847171,0.00058748224,0.0001477647,0.000075263204,9.464306e-7,0.0000011387675,0.0000070789515,0.00057463744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982509,0.00043125512,0.000771109,0.00015413329,0.00025596452,0.00013665865],"domain_scores_gemma":[0.99611044,0.0014307213,0.0016454279,0.00049800216,0.00027612416,0.000039312778],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00076761434,0.00015968634,0.001088229,0.00033814125,0.00008956452,0.000013887652,0.0004777204,0.00030644285,0.001371834],"category_scores_gemma":[0.001183805,0.000079938734,0.00094988063,0.0006211807,0.0005901553,0.000017859162,0.0003282658,0.0007293603,3.7757616e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004301503,0.0018152214,0.41287062,0.0017283135,0.07197346,0.00023554779,0.008523314,0.0029515198,0.00070783996,0.47139034,0.011062918,0.016310776],"study_design_scores_gemma":[0.0007738009,0.0003697093,0.14765313,0.00040928228,0.016485503,0.00019736023,0.0059310417,0.00020024291,0.0027652325,0.82463443,0.00025973556,0.00032050774],"about_ca_topic_score_codex":0.000074703355,"about_ca_topic_score_gemma":0.00012963553,"teacher_disagreement_score":0.35324413,"about_ca_system_score_codex":0.000015929641,"about_ca_system_score_gemma":0.00014975265,"threshold_uncertainty_score":0.99954104},"labels":[],"label_agreement":null},{"id":"W3085647440","doi":"10.1016/j.topol.2021.107645","title":"Surprising circles in Morse boundaries of right-angled Coxeter groups","year":2021,"lang":"en","type":"preprint","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","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":"Technion-Israel Institute of Technology; Azrieli Foundation; Israel Science Foundation; National Science Foundation; German-Israeli Foundation for Scientific Research and Development; Deutsche Forschungsgemeinschaft","keywords":"Coxeter group; Morse code; Mathematics; Boundary (topology); Graph; Combinatorics; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.03438634936487587,"score_gpt":0.31450796710826484,"score_spread":0.28012161774338895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3085647440","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98119354,0.0031843116,0.01071882,0.0012636996,0.00019781488,0.0006112009,0.00004866018,0.000050215243,0.0027317244],"genre_scores_gemma":[0.9955584,0.00026923642,0.0033197468,0.00010021311,0.00007538397,0.00023457408,0.00006350867,0.000018146346,0.00036078712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856436,0.00012028547,0.0005428871,0.00043412377,0.000092237126,0.00024610924],"domain_scores_gemma":[0.9984499,0.0006254345,0.00029018594,0.00045983153,0.000118859934,0.000055783486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029549413,0.00019866636,0.0006214305,0.0003094566,0.00017041106,0.00003896174,0.00022973755,0.00042962085,0.00043710193],"category_scores_gemma":[0.0002673204,0.00019956686,0.00008280842,0.0002923011,0.0006066114,0.000041238647,0.00043558807,0.0004829501,0.000007003762],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011440739,0.0002960794,0.0017415631,0.0004660449,0.000108674816,0.000012646088,0.002040781,0.0000035468086,0.00026946576,0.9931061,0.00029086263,0.001652785],"study_design_scores_gemma":[0.00048727886,0.000036095676,0.008046621,0.00007686565,0.00014731781,0.000059663154,0.0012551907,0.000064809305,0.0016276514,0.98331285,0.004549133,0.00033655614],"about_ca_topic_score_codex":0.00016990554,"about_ca_topic_score_gemma":0.0004072892,"teacher_disagreement_score":0.01436485,"about_ca_system_score_codex":0.000027952325,"about_ca_system_score_gemma":0.00017422065,"threshold_uncertainty_score":0.81381005},"labels":[],"label_agreement":null},{"id":"W3087682646","doi":"10.1112/blms.12611","title":"Non‐simply connected symplectic fillings of lens spaces","year":2022,"lang":"en","type":"preprint","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Betti number; Fibonacci number; Lens (geology); Symplectic geometry; Mathematics; Through-the-lens metering; Pure mathematics; Combinatorics; Physics; Optics","score_opus":0.03473147325486134,"score_gpt":0.2817419840660419,"score_spread":0.24701051081118056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3087682646","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9556146,0.00048724227,0.0060454947,0.020693934,0.0008681647,0.00244536,0.00026959262,0.00020989751,0.01336569],"genre_scores_gemma":[0.919844,0.00032485885,0.06662849,0.0009708176,0.00021452531,0.00025326674,0.000028038165,0.00019884398,0.011537204],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964807,0.0002489308,0.0012889667,0.0005484243,0.0009141667,0.00051882485],"domain_scores_gemma":[0.9930966,0.0036642114,0.0015427382,0.0013768554,0.00023348525,0.00008610208],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013974193,0.0004831675,0.0015439333,0.00008117872,0.00020471883,0.000027366938,0.0014705968,0.0005277744,0.011878994],"category_scores_gemma":[0.0031453862,0.0003481085,0.001598344,0.00046665748,0.00066021964,0.000010391087,0.002844007,0.001309845,0.000038069767],"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":[0.00008546533,0.002199748,0.0009183701,0.01838492,0.0020700733,0.000006526073,0.0084212385,0.00031563046,0.00061810965,0.47214162,0.4946456,0.00019269048],"study_design_scores_gemma":[0.00096670055,0.0001787296,0.0003236677,0.0005809521,0.0007269294,0.000027938973,0.0017134481,0.0006690953,0.0022714548,0.97605747,0.015924368,0.00055927184],"about_ca_topic_score_codex":0.00011838106,"about_ca_topic_score_gemma":0.0000020635491,"teacher_disagreement_score":0.5039158,"about_ca_system_score_codex":0.00011959842,"about_ca_system_score_gemma":0.00016084655,"threshold_uncertainty_score":0.99989706},"labels":[],"label_agreement":null},{"id":"W3088057562","doi":"10.4153/s000843952000079x","title":"On framings of links in 3-manifolds","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Pure mathematics","score_opus":0.03278707569401515,"score_gpt":0.25657404489059404,"score_spread":0.2237869691965789,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3088057562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81643647,0.00006173368,0.003379719,0.07014307,0.00010285904,0.00055411836,0.000029036257,0.00007807367,0.10921495],"genre_scores_gemma":[0.99271786,0.0000017022452,0.0031456843,0.0034038816,0.000048022837,0.0000106354355,0.0000017755561,0.000025369362,0.0006450834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873257,0.00004769258,0.00043800863,0.00022420203,0.00018074772,0.00037679894],"domain_scores_gemma":[0.9982105,0.000979951,0.00008158814,0.000220516,0.000033525324,0.00047390853],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025669363,0.00014876266,0.00040962303,0.0002326822,0.000026509677,0.000010064133,0.000257696,0.00027324638,0.018847397],"category_scores_gemma":[0.004285825,0.0001364473,0.00007820131,0.00039277948,0.00009202839,0.000009615636,0.00003111041,0.0003153658,0.003834475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008407723,0.00006530193,0.00008218405,0.00021501997,0.00001213437,0.0000677896,0.0007764123,0.0000024126023,0.00002218061,0.9632842,0.03508626,0.0003777145],"study_design_scores_gemma":[0.0006067704,0.00026704982,0.00023981131,0.00014369134,0.000021275338,0.000008904148,0.00044607295,0.00034283428,0.0003129587,0.9724911,0.024844538,0.00027500986],"about_ca_topic_score_codex":0.00037858007,"about_ca_topic_score_gemma":0.00027801603,"teacher_disagreement_score":0.1762814,"about_ca_system_score_codex":0.00005968897,"about_ca_system_score_gemma":0.000103074286,"threshold_uncertainty_score":0.99694115},"labels":[],"label_agreement":null},{"id":"W3091896116","doi":"10.1017/s0305004123000208","title":"Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut","year":2023,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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":"Instytut Matematyczny, Polskiej Akademii Nauk; Ministerstwo Edukacji i Nauki; Natural Sciences and Engineering Research Council of Canada; Narodowe Centrum Nauki; Indo-French Centre for the Promotion of Advanced Research; Simons Foundation; Israel Science Foundation; Tata Institute of Fundamental Research","keywords":"Regular polygon; Mathematics; Graph; Group (periodic table); Pure mathematics; Combinatorics; Geometry; Physics","score_opus":0.04718493097837065,"score_gpt":0.2764010057266049,"score_spread":0.22921607474823427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091896116","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9682543,0.000050845614,0.0006248783,0.0148786865,0.00011103193,0.0009817621,0.00006692261,0.0004843578,0.014547199],"genre_scores_gemma":[0.9932207,0.00002697044,0.0046614343,0.00022062435,0.00046667655,0.00011184594,0.0000056403564,0.00012680572,0.001159306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957296,0.000039241866,0.00105551,0.0007605857,0.0013723539,0.0010426628],"domain_scores_gemma":[0.9970623,0.00094536995,0.0006987543,0.0005027205,0.0004400471,0.00035075386],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011133286,0.0006217679,0.0012464287,0.00013132654,0.00040509208,0.00007745489,0.0011617116,0.000506825,0.00005632059],"category_scores_gemma":[0.0014731354,0.00039438094,0.0007814902,0.0021992158,0.0012601437,0.00025889487,0.00070090895,0.0012033997,0.000092483206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000594946,0.00043184127,0.004656874,0.00076604064,0.00034506014,0.0000047045723,0.0006779962,0.00001197432,0.00033525756,0.98144907,0.011177651,0.00008402788],"study_design_scores_gemma":[0.0013568928,0.00036695038,0.016133806,0.0004531758,0.0005142632,0.00012085359,0.0025352025,0.003302001,0.00078064104,0.9732402,0.00040825506,0.0007877423],"about_ca_topic_score_codex":0.0000033465797,"about_ca_topic_score_gemma":5.003571e-7,"teacher_disagreement_score":0.02496638,"about_ca_system_score_codex":0.00013392477,"about_ca_system_score_gemma":0.00007590451,"threshold_uncertainty_score":0.9998508},"labels":[],"label_agreement":null},{"id":"W3091947505","doi":"10.2140/gt.2022.26.2237","title":"Instanton Floer homology of almost-rational plumbings","year":2022,"lang":"en","type":"preprint","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Floer homology; Fibered knot; Orbifold; Mathematics; Instanton; Homology (biology); Cobordism; Pure mathematics; Decomposition theorem; Coset; Combinatorics; Mathematical physics; Symplectic geometry","score_opus":0.046167407691489026,"score_gpt":0.3269100441506547,"score_spread":0.2807426364591657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091947505","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96964604,0.0015837469,0.003034251,0.0027084236,0.0059703416,0.0008168752,0.00038333298,0.00018549479,0.015671525],"genre_scores_gemma":[0.9824603,0.00020779122,0.009662208,0.00062341505,0.00052128034,0.0003181459,0.00041636065,0.00010107368,0.00568941],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99568576,0.00049911725,0.0013500751,0.0010411553,0.0005768194,0.0008470571],"domain_scores_gemma":[0.9950979,0.0021330796,0.0011049492,0.0012645522,0.0002531707,0.00014636765],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010884777,0.00054810924,0.0016223314,0.0019579032,0.00021377366,0.000017772241,0.0012104663,0.0011494451,0.02903671],"category_scores_gemma":[0.0024661673,0.0005973187,0.00044889314,0.0012460768,0.0008768306,0.000058267065,0.0030275884,0.0018691791,0.00006921056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019726907,0.0011849626,0.017587595,0.0010420883,0.0012008515,0.00027177867,0.0016588536,0.00027316713,0.000531601,0.9413851,0.029433152,0.0052335765],"study_design_scores_gemma":[0.0013086767,0.0007264407,0.006643145,0.000035354726,0.00033600494,0.00043294762,0.0010330905,0.00005673303,0.00072786835,0.92799526,0.059777662,0.0009268212],"about_ca_topic_score_codex":0.00065492577,"about_ca_topic_score_gemma":0.0000672595,"teacher_disagreement_score":0.030344512,"about_ca_system_score_codex":0.00023956694,"about_ca_system_score_gemma":0.00053408835,"threshold_uncertainty_score":0.9996478},"labels":[],"label_agreement":null},{"id":"W3092128311","doi":"10.1090/tran/8996","title":"Multisections of 4-manifolds","year":2023,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University; University of Waterloo","funders":"","keywords":"Algorithm; Computer science; Annotation; Artificial intelligence; Mathematics","score_opus":0.035246083422270855,"score_gpt":0.3132551463946777,"score_spread":0.27800906297240685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3092128311","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7764796,0.000008638664,0.22046347,0.0010616251,0.00010655502,0.0002539871,0.000037966252,0.0001623335,0.0014258138],"genre_scores_gemma":[0.97599584,0.000027739852,0.022452943,0.000034277564,0.00001560589,0.000021625696,4.9900615e-7,0.00001895175,0.0014325146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891275,0.00005818865,0.00040915507,0.00013374814,0.00026911296,0.00021704625],"domain_scores_gemma":[0.99806345,0.0010894402,0.00028156946,0.00044874186,0.00006781523,0.00004897303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003017452,0.00011204068,0.0004031065,0.00006902875,0.0001334038,0.0000034546254,0.00030795325,0.000048484806,0.00033658103],"category_scores_gemma":[0.000212204,0.000077216544,0.00060436595,0.001998649,0.0007972398,0.00003358261,0.000026429369,0.00016381688,0.00003348167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000118055184,0.0063554076,0.004467719,0.0041390522,0.0041155266,0.0000039559054,0.029243704,0.0019806256,0.038211405,0.82662433,0.04334514,0.041395053],"study_design_scores_gemma":[0.0007583632,0.00029199463,0.011022593,0.000111417045,0.00053290644,0.000032408952,0.01233563,0.006512111,0.012709027,0.9549662,0.00037933578,0.00034804532],"about_ca_topic_score_codex":0.00006246108,"about_ca_topic_score_gemma":0.0000044833027,"teacher_disagreement_score":0.19951624,"about_ca_system_score_codex":0.00002264742,"about_ca_system_score_gemma":0.00003243669,"threshold_uncertainty_score":0.36853263},"labels":[],"label_agreement":null},{"id":"W3093119474","doi":"10.1112/blms.12906","title":"Crystallographic Helly groups","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Ministerstwo Edukacji i Nauki; Narodowe Centrum Nauki; Simons Foundation","keywords":"Mathematics; Injective function; Coxeter group; Abelian group; Combinatorics; Group (periodic table); Divisible group; Pure mathematics; Torsion subgroup; Elementary abelian group","score_opus":0.027358731344410657,"score_gpt":0.2663731438446499,"score_spread":0.23901441250023922,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3093119474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9460551,0.00017557772,0.006855875,0.026308242,0.00042043225,0.00094577024,0.000023652925,0.00063542934,0.01857993],"genre_scores_gemma":[0.9547498,0.00009614709,0.022189315,0.0008729665,0.00015295173,0.00006073168,0.0000035910582,0.00007355722,0.021800898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817467,0.00011308487,0.00052035286,0.00024973933,0.0004990953,0.00044306723],"domain_scores_gemma":[0.99725604,0.0017355921,0.00022721887,0.0006278645,0.0000686526,0.00008461372],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010957086,0.0001982744,0.0004458087,0.000058405672,0.00016901964,0.000016777176,0.000634277,0.00019445216,0.002135312],"category_scores_gemma":[0.0013162202,0.00012600802,0.00077250117,0.0010192143,0.0004475037,0.000010926656,0.00042482145,0.00027570294,0.00044881043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009140289,0.00027821842,0.00042343768,0.00073219946,0.00016318657,0.0000030880292,0.00086474296,0.0000052783703,0.0005498644,0.60413337,0.39246923,0.00036825356],"study_design_scores_gemma":[0.00049204944,0.00004798854,0.00096527144,0.00008088463,0.00007839537,0.000018198094,0.0006282973,0.00017848377,0.00043480925,0.96681184,0.030082176,0.00018159518],"about_ca_topic_score_codex":0.00000730037,"about_ca_topic_score_gemma":6.599368e-7,"teacher_disagreement_score":0.3626785,"about_ca_system_score_codex":0.00002032773,"about_ca_system_score_gemma":0.000020360954,"threshold_uncertainty_score":0.99877685},"labels":[],"label_agreement":null},{"id":"W3093281916","doi":"10.2140/agt.2024.24.3291","title":"Strongly shortcut spaces","year":2024,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Antipodal point; Lemma (botany); Geodesic; Group action; Pure mathematics; Lipschitz continuity; Metric space; Embedding; Combinatorics; Group (periodic table); Discrete mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.03384482948692618,"score_gpt":0.31487998693096814,"score_spread":0.28103515744404195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3093281916","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8791627,0.020063361,0.033275202,0.008948219,0.0069750985,0.00076498825,0.00005361009,0.0020057803,0.048751015],"genre_scores_gemma":[0.9790862,0.00022801173,0.003509269,0.00031564475,0.0008186666,0.000062788786,0.00002177132,0.0000968197,0.015860816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962756,0.00019727457,0.0007713338,0.0010025466,0.0005067443,0.0012464788],"domain_scores_gemma":[0.9953218,0.0033450625,0.00013915618,0.00078735733,0.00010632769,0.0003002614],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009179199,0.0005044982,0.0008080713,0.0037686809,0.00020088913,0.00015904078,0.00070968724,0.0004987837,0.0075062304],"category_scores_gemma":[0.0021380999,0.0004379646,0.00034565481,0.006791139,0.0005193744,0.00025517994,0.00031395047,0.0007294868,0.0016496737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001563024,0.00015038047,0.0019270475,0.00014637115,0.00035387222,0.00032759394,0.0002897419,0.0000034008633,0.0000565836,0.8894111,0.05613649,0.05118179],"study_design_scores_gemma":[0.000793293,0.0008341239,0.0041599018,0.000054995886,0.00037141016,0.0010314371,0.0010388329,0.0002437182,0.0006097144,0.7474732,0.24234784,0.0010415693],"about_ca_topic_score_codex":0.00015182287,"about_ca_topic_score_gemma":0.000045801098,"teacher_disagreement_score":0.18621135,"about_ca_system_score_codex":0.00014704326,"about_ca_system_score_gemma":0.00021028057,"threshold_uncertainty_score":0.99980724},"labels":[],"label_agreement":null},{"id":"W3093423413","doi":"10.1307/mmj/20216127","title":"Trisections of Nonorientable 4-Manifolds","year":2023,"lang":"en","type":"article","venue":"The Michigan Mathematical Journal","topic":"Geometric and Algebraic Topology","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; Princeton University; National Science Foundation","keywords":"Mathematics; Manifold (fluid mechanics); Boundary (topology); Pure mathematics; Topology (electrical circuits); Combinatorics; Mathematical analysis","score_opus":0.051778935803111686,"score_gpt":0.323234684112229,"score_spread":0.27145574830911734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3093423413","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96789867,0.00004832408,0.019547645,0.0015503155,0.00034485853,0.00016826933,0.000005852265,0.00010422908,0.010331842],"genre_scores_gemma":[0.98740345,0.000057156954,0.0051228683,0.00007403804,0.00032048507,0.000009216054,0.0000011207253,0.000033938017,0.0069776997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984837,0.000114183385,0.0005914973,0.00010905313,0.00034072547,0.0003608091],"domain_scores_gemma":[0.9978676,0.001360998,0.00024820917,0.00032142043,0.000087449764,0.00011432722],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001405506,0.0001315719,0.00034226815,0.00026728187,0.00027940815,0.000034278182,0.00041564798,0.00007394839,0.0010822844],"category_scores_gemma":[0.0010430587,0.00007738164,0.00019447408,0.001025292,0.0001664718,0.000062747305,0.000108347536,0.0003624752,0.00047028626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025272186,0.00031321848,0.00018922857,0.0001351045,0.00020865325,0.000029865085,0.004328193,0.000023928089,0.0017524591,0.9750677,0.017053148,0.00087322755],"study_design_scores_gemma":[0.00037684283,0.0000848119,0.00034046857,0.00004028547,0.00009212755,0.00062672526,0.0020507441,0.00031205255,0.0011420859,0.99406534,0.00077472493,0.00009376414],"about_ca_topic_score_codex":0.0000021876679,"about_ca_topic_score_gemma":0.0000033656868,"teacher_disagreement_score":0.019504813,"about_ca_system_score_codex":0.000013762697,"about_ca_system_score_gemma":0.000051625157,"threshold_uncertainty_score":0.99983084},"labels":[],"label_agreement":null},{"id":"W3094592764","doi":"10.1142/s0219498822501638","title":"Isotropy groups of free racks and quandles","year":2021,"lang":"en","type":"preprint","venue":"Journal of Algebra and Its Applications","topic":"Geometric and Algebraic Topology","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":"University of Ottawa","keywords":"Automorphism; Isotropy; Mathematics; Covariant transformation; Functor; Group (periodic table); Identity (music); Pure mathematics; Finitely-generated abelian group; Geometry; Physics","score_opus":0.034496738148685695,"score_gpt":0.30348892356446744,"score_spread":0.26899218541578174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094592764","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9538175,0.015882581,0.027694216,0.0016392287,0.00014102513,0.00030555765,0.000042920263,0.000011806593,0.00046518366],"genre_scores_gemma":[0.97946674,0.005333246,0.014653341,0.000055598226,0.00027414606,0.000022281623,0.0000071240424,0.000021122329,0.00016642972],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985832,0.000057541933,0.0007806639,0.00020950625,0.00022559268,0.00014351404],"domain_scores_gemma":[0.99745595,0.00057058135,0.0010622409,0.00037260188,0.00040736908,0.00013126385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035584214,0.00018324047,0.00066149817,0.0002948192,0.00007613781,0.000046396985,0.00032336122,0.00025138177,0.00009993809],"category_scores_gemma":[0.00048358468,0.0001532975,0.00015078152,0.00021277294,0.000115500006,0.000079573445,0.00046111544,0.0005258488,0.0000010011449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003605858,0.0005847239,0.0011900059,0.001385991,0.0006743033,0.000014599578,0.001725581,0.0000059097006,0.0019172403,0.97733605,0.004502451,0.010627078],"study_design_scores_gemma":[0.0009657757,0.00018288006,0.0050736503,0.000250654,0.00054334174,0.00035843754,0.0016513743,0.000063200045,0.0015600463,0.9862019,0.0028672672,0.00028147592],"about_ca_topic_score_codex":0.0000068953236,"about_ca_topic_score_gemma":0.000006370035,"teacher_disagreement_score":0.025649229,"about_ca_system_score_codex":0.000016568449,"about_ca_system_score_gemma":0.00013393736,"threshold_uncertainty_score":0.6251291},"labels":[],"label_agreement":null},{"id":"W3094678848","doi":"10.2140/agt.2025.25.1999","title":"Coarse Alexander duality for pairs and applications","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; National Science Foundation","keywords":"Mathematics; Poincaré duality; Contractible space; Cohomology; Homology (biology); Duality (order theory); Pure mathematics; Invariant (physics); Singular homology; Complement (music); Combinatorics; Group action; Group (periodic table); Fundamental group; Mathematical physics","score_opus":0.03298096325309621,"score_gpt":0.33569509567635203,"score_spread":0.30271413242325584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094678848","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16492969,0.0056341584,0.7906444,0.010449688,0.0012242786,0.0032170739,0.00010028419,0.00054587604,0.02325457],"genre_scores_gemma":[0.9687061,0.00017943444,0.011696127,0.001959995,0.00024003832,0.00088533666,0.000035654128,0.000037792546,0.016259551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976956,0.00013324764,0.00064071576,0.0006922992,0.00016033882,0.00067776017],"domain_scores_gemma":[0.9938884,0.004935533,0.00020875168,0.00063430995,0.00018092206,0.00015207942],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008844073,0.00030007894,0.00066188804,0.001791153,0.00033873902,0.000032594362,0.00036585992,0.00038127176,0.00061268336],"category_scores_gemma":[0.002604351,0.0002839034,0.00016141334,0.003379675,0.00055106,0.000080723665,0.00023691074,0.00025242782,0.000033450182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027488168,0.0002086469,0.005205259,0.00017055508,0.00018502786,0.0000024059157,0.000062891195,7.4032323e-7,0.00001556317,0.90931,0.024447734,0.06036373],"study_design_scores_gemma":[0.0016876771,0.0001807967,0.008287458,0.000009242743,0.00021502927,0.000042705735,0.00046606344,0.00005194515,0.00020254696,0.84856623,0.13996695,0.00032337004],"about_ca_topic_score_codex":0.000069792586,"about_ca_topic_score_gemma":0.00004409274,"teacher_disagreement_score":0.8037764,"about_ca_system_score_codex":0.000067642744,"about_ca_system_score_gemma":0.00012594045,"threshold_uncertainty_score":0.9999613},"labels":[],"label_agreement":null},{"id":"W3096054668","doi":"10.1017/prm.2021.78","title":"A characterization of alternating links in thickened surfaces","year":2021,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Pairing; Sigma; Surface (topology); Extension (predicate logic); Mathematics; Sign (mathematics); Characterization (materials science); Pure mathematics; Combinatorics; Physics; Mathematical analysis; Geometry; Computer science; Quantum mechanics; Superconductivity; Optics","score_opus":0.02398438802857379,"score_gpt":0.26330240056343296,"score_spread":0.23931801253485918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3096054668","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99636704,0.000033367425,0.0012944227,0.00046867857,0.00026321792,0.00021264082,0.000006588573,0.000024410398,0.0013296125],"genre_scores_gemma":[0.9790621,0.00004132461,0.019341925,0.00002852398,0.000098153796,0.000008716082,0.0000015871198,0.00001750978,0.0014001614],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9983591,0.000009924753,0.0008375101,0.00018035976,0.00042916514,0.00018398215],"domain_scores_gemma":[0.99771774,0.00029865163,0.0012079396,0.00012878267,0.0006174933,0.00002938636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008348533,0.0001488895,0.0004997012,0.0000755543,0.000058155343,0.000012819413,0.00025640687,0.00027126336,0.00014562742],"category_scores_gemma":[0.0011761261,0.000119770295,0.00028757748,0.00084576185,0.00013716689,0.00009305529,0.00017800229,0.00033493285,1.5479465e-7],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030286601,0.0016956723,0.028628247,0.0052347616,0.0003957056,4.5278077e-7,0.0341261,0.00013853746,0.90825266,0.018133217,0.0028904555,0.0004738922],"study_design_scores_gemma":[0.0011295208,0.000121870704,0.0042074504,0.001259148,0.0001599362,0.000019207771,0.011690078,0.030823957,0.8447404,0.10544149,0.00012061319,0.00028636845],"about_ca_topic_score_codex":0.000021406144,"about_ca_topic_score_gemma":0.0000023703196,"teacher_disagreement_score":0.087308265,"about_ca_system_score_codex":0.00004293684,"about_ca_system_score_gemma":0.00005538673,"threshold_uncertainty_score":0.4884091},"labels":[],"label_agreement":null},{"id":"W3098223022","doi":"","title":"Constructions of Generalized Complex Structures in Dimension Four","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto; Universiteit Utrecht; Simons Foundation","keywords":"Mathematics; Dimension (graph theory); Manifold (fluid mechanics); Pure mathematics; Type (biology); Algebra over a field; Engineering; Geology","score_opus":0.09255987903251876,"score_gpt":0.32106821120266504,"score_spread":0.22850833217014627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098223022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9841851,0.000010963518,0.009624722,0.0006543176,0.00010667469,0.00008547787,0.00000597906,0.000029113045,0.0052976483],"genre_scores_gemma":[0.94705075,0.0000059692156,0.05191164,0.000039352366,0.000017277649,0.0000020419827,5.653366e-7,0.000005219143,0.00096717605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994224,0.000040743493,0.00023210238,0.00010042641,0.00008167035,0.00012266845],"domain_scores_gemma":[0.99940616,0.00030816803,0.00007086954,0.00015134539,0.000036003657,0.000027450596],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007823218,0.0000637161,0.00019068769,0.00018011665,0.000018456856,0.0000016592752,0.000066349676,0.000050628954,0.002590814],"category_scores_gemma":[0.0002365307,0.00003600756,0.000036873134,0.00018851,0.00011304729,0.000025337484,0.00003677205,0.000029087434,0.000009022699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007809649,0.000020503034,0.0055784625,0.000008727434,0.000011955515,0.0000017020865,0.00004063667,6.984065e-7,0.016618777,0.9707595,0.002603616,0.0043475768],"study_design_scores_gemma":[0.0012547199,0.000032559816,0.026000703,0.000010140739,0.000009260981,0.000035538695,0.000110320485,0.000018679066,0.00622172,0.9653534,0.0008704547,0.000082495986],"about_ca_topic_score_codex":0.000069118265,"about_ca_topic_score_gemma":0.000070639944,"teacher_disagreement_score":0.042286918,"about_ca_system_score_codex":0.000012692439,"about_ca_system_score_gemma":0.000015259897,"threshold_uncertainty_score":0.99832094},"labels":[],"label_agreement":null},{"id":"W3098845558","doi":"","title":"Branched covers of quasipositive links and L-spaces","year":2019,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"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 National de la Recherche Scientifique; Natural Sciences and Engineering Research Council of Canada; Abdus Salam International Centre for Theoretical Physics; Agence Nationale de la Recherche; National Science Foundation","keywords":"Marie curie; Library science; Art history; Humanities; Physics; Engineering physics; Art; Computer science","score_opus":0.011968363521288663,"score_gpt":0.23741372918141096,"score_spread":0.2254453656601223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098845558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9352383,0.00035916272,0.022103863,0.0035914944,0.00006203126,0.00019962294,0.000010891477,0.00005249245,0.038382124],"genre_scores_gemma":[0.9772651,0.00009179992,0.01596299,0.000051653155,0.000004624587,0.0000046590367,0.000011684732,0.000013229547,0.0065942206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9980985,0.0010782682,0.00023729446,0.00024514404,0.00017358617,0.00016720008],"domain_scores_gemma":[0.9956204,0.0029680787,0.00023004395,0.0005635729,0.0005476264,0.0000702605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018491943,0.00011106699,0.00024394825,0.00012990189,0.00007260458,0.00003872984,0.00025160424,0.00015677125,0.00021046704],"category_scores_gemma":[0.0015625773,0.00010673272,0.00006210321,0.00033187927,0.00018191316,0.00008157843,0.00015902822,0.00021270303,0.000026881053],"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":[0.000016389455,0.0002963454,0.018923875,0.00012485027,0.000075321426,0.0000011772545,0.010451387,0.0000016204943,0.0105413245,0.9487926,0.00052805425,0.010247091],"study_design_scores_gemma":[0.0066047697,0.0000110347555,0.077591605,0.00205705,0.00024531223,0.000071155286,0.0055892607,0.0059301616,0.57541597,0.31058326,0.014556759,0.0013436796],"about_ca_topic_score_codex":0.0001875507,"about_ca_topic_score_gemma":0.0001257274,"teacher_disagreement_score":0.6382093,"about_ca_system_score_codex":0.000017464676,"about_ca_system_score_gemma":0.00004690508,"threshold_uncertainty_score":0.4352434},"labels":[],"label_agreement":null},{"id":"W3098848941","doi":"","title":"Quantitative null-cobordism","year":2018,"lang":"en","type":"article","venue":"eScholarship (California Digital Library)","topic":"Geometric and Algebraic Topology","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Mathematics; Computer science; Biology","score_opus":0.03803808534522207,"score_gpt":0.28354202071873724,"score_spread":0.24550393537351517,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098848941","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78436494,0.00020950491,0.0061435383,0.0022876144,0.00048694212,0.00039103514,0.0013639472,0.000952821,0.20379966],"genre_scores_gemma":[0.97665614,0.0000061722358,0.015097203,0.0010065365,0.0004038344,0.000018177607,0.00013453391,0.00010716737,0.0065702125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790436,0.00009365448,0.00051519537,0.0005003343,0.00035710918,0.000629324],"domain_scores_gemma":[0.9981591,0.0007482499,0.00018808893,0.00051448954,0.000081272236,0.00030879918],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00021958072,0.00033451046,0.00040018314,0.00032914174,0.00021679769,0.0005505733,0.00056986394,0.00020972818,0.0035427236],"category_scores_gemma":[0.0018413025,0.00028634837,0.00019324772,0.0010215463,0.00043218207,0.0020755255,0.00032014976,0.00040149546,0.013722466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023883248,0.0005216913,0.036717698,0.00008736204,0.00017988998,0.000078069366,0.0001814292,1.392519e-7,0.0001261979,0.8553855,0.09314412,0.013339084],"study_design_scores_gemma":[0.00054074015,0.00039909204,0.0018455158,0.000040279774,0.000025349907,0.000029238297,0.00012007811,0.000040554285,0.0015924032,0.7187374,0.2761917,0.00043761387],"about_ca_topic_score_codex":0.0000021226808,"about_ca_topic_score_gemma":0.0000010409924,"teacher_disagreement_score":0.19722944,"about_ca_system_score_codex":0.000023968187,"about_ca_system_score_gemma":0.000089457986,"threshold_uncertainty_score":0.9999589},"labels":[],"label_agreement":null},{"id":"W3099509585","doi":"","title":"Character varieties of mutative 3-manifolds","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Character (mathematics); Mathematics; Variety (cybernetics); Ideal (ethics); Point (geometry); Pure mathematics; Geometry; Statistics; Epistemology; Philosophy","score_opus":0.058760877148599976,"score_gpt":0.3238157059872523,"score_spread":0.26505482883865233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099509585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89008784,0.00008235905,0.008788555,0.0002345309,0.00026469518,0.00009076956,0.0000032864111,0.0000499693,0.100397974],"genre_scores_gemma":[0.9859744,0.0000027506762,0.0053594164,0.00008704276,0.00007832484,0.0000037785194,0.000001103869,0.0000068591,0.008486365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995008,0.000025601756,0.0001542397,0.000053881,0.00009107558,0.00017436824],"domain_scores_gemma":[0.99939746,0.0003343104,0.000073544696,0.00011302331,0.000040330997,0.00004134901],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00019302915,0.00006233361,0.00015340312,0.000081443075,0.000017474811,0.0000023864245,0.00006404564,0.000052404874,0.002971736],"category_scores_gemma":[0.00021214252,0.00004515134,0.000040574807,0.00013582027,0.000056631292,0.00008433505,0.000035589695,0.000048772476,0.000105691084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003254425,0.00010516139,0.005096661,0.000022999497,0.000030179339,3.370738e-7,0.0017892111,1.4873672e-8,0.00014457355,0.9899288,0.002311488,0.00056733924],"study_design_scores_gemma":[0.00056378485,0.00017154879,0.07462444,0.000009462635,0.00008787943,0.000030966312,0.0039076344,0.000010713736,0.025905192,0.8821638,0.012233189,0.00029136986],"about_ca_topic_score_codex":0.000015100035,"about_ca_topic_score_gemma":0.0000010314893,"teacher_disagreement_score":0.10776497,"about_ca_system_score_codex":0.0000062263734,"about_ca_system_score_gemma":0.000008129276,"threshold_uncertainty_score":0.9979397},"labels":[],"label_agreement":null},{"id":"W3099716542","doi":"","title":"The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited","year":2017,"lang":"en","type":"article","venue":"MPG.PuRe (Max Planck Society)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Max-Planck-Gesellschaft","keywords":"Mathematics; Conjecture; Relatively hyperbolic group; Pure mathematics; Hyperbolic group; Class (philosophy); Combinatorics; Hyperbolic manifold; Mathematical analysis; Hyperbolic function","score_opus":0.03726227390526901,"score_gpt":0.30942163362245617,"score_spread":0.2721593597171872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099716542","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95887995,0.0066908994,0.0040369215,0.017612705,0.0018261792,0.0020406202,0.00025409934,0.0003369005,0.008321742],"genre_scores_gemma":[0.9836946,0.00086058525,0.005442536,0.0008044852,0.0011645333,0.000100161684,0.000033677574,0.00007039494,0.007829032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99855846,0.000043270415,0.0002989386,0.00038136894,0.00019155233,0.00052638573],"domain_scores_gemma":[0.99736816,0.0012949004,0.00032515652,0.0008113395,0.000088220724,0.00011224352],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.00048636223,0.00027831612,0.00046324942,0.00003520543,0.0016734289,0.0002426055,0.00055920065,0.00033641869,0.000053210486],"category_scores_gemma":[0.0010503641,0.00018518629,0.000254851,0.00012477541,0.0003726551,0.00009613635,0.00017216684,0.0002618805,0.000019152603],"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":[0.000073156094,0.00011374366,0.011826166,0.0006067166,0.000582428,0.000014060489,0.0033777475,0.0000012752932,0.00053609855,0.56920505,0.40266386,0.010999702],"study_design_scores_gemma":[0.0028989404,0.00023341534,0.0106119225,0.000095012765,0.00031498022,0.00013354326,0.0020599116,0.00039058435,0.00030691727,0.49096102,0.49125987,0.00073390256],"about_ca_topic_score_codex":0.000021408783,"about_ca_topic_score_gemma":0.00004898921,"teacher_disagreement_score":0.088596016,"about_ca_system_score_codex":0.000029134368,"about_ca_system_score_gemma":0.000050602455,"threshold_uncertainty_score":0.9996263},"labels":[],"label_agreement":null},{"id":"W3099767014","doi":"10.4064/fm80-9-2016","title":"Virtual knot groups and almost classical knots","year":2017,"lang":"en","type":"article","venue":"Fundamenta Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Knot (papermaking); Knot theory; Knot invariant; Tricolorability; Skein relation; Quantum invariant; Trefoil knot","score_opus":0.07276816986567707,"score_gpt":0.34280041322913407,"score_spread":0.270032243363457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099767014","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95610625,0.0001068196,0.0060010627,0.004296191,0.00049034075,0.0004828642,0.000025141682,0.00017187926,0.032319468],"genre_scores_gemma":[0.9802122,0.000026944726,0.009354393,0.00020030585,0.00022028807,0.000038800026,0.00000395378,0.000045749846,0.009897333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99826866,0.000056166107,0.00044944696,0.00041249412,0.00033801259,0.00047519934],"domain_scores_gemma":[0.99754167,0.00080607244,0.00033213224,0.0010551378,0.000039222305,0.0002257455],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00046959132,0.00028018624,0.0005301882,0.00012720937,0.00064037164,0.0002887752,0.0005629172,0.0001623732,0.0012332777],"category_scores_gemma":[0.0016111326,0.00023071966,0.000103336846,0.000080375954,0.00056629715,0.00025697832,0.0005358985,0.00024161101,0.0004289993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019737032,0.00037035707,0.0011393098,0.00013663311,0.0001001017,0.000031913965,0.00088086235,3.6615976e-8,0.00031782308,0.97295284,0.012585507,0.011464901],"study_design_scores_gemma":[0.001744807,0.00038065374,0.008029812,0.00014208665,0.00015541393,0.00021525723,0.0014416727,0.00032392793,0.00063338625,0.97156626,0.014809964,0.00055676507],"about_ca_topic_score_codex":0.00000975408,"about_ca_topic_score_gemma":0.000011419729,"teacher_disagreement_score":0.024106,"about_ca_system_score_codex":0.000045708613,"about_ca_system_score_gemma":0.000030529707,"threshold_uncertainty_score":0.99967974},"labels":[],"label_agreement":null},{"id":"W3099917186","doi":"","title":"Knot commensurability and the Berge conjecture","year":2012,"lang":"en","type":"article","venue":"Archipelago (Université du Québec à Montréal)","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Commensurability (mathematics); Mathematics; Hyperbolic 3-manifold; Knot (papermaking); Pure mathematics; Conjecture; Fibered knot; Homogeneous space; Combinatorics; Hyperbolic manifold; Mathematical analysis; Geometry; Hyperbolic group; Hyperbolic function","score_opus":0.011707802694451127,"score_gpt":0.19832836450638675,"score_spread":0.18662056181193562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099917186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9762249,0.0030609197,0.0010423014,0.016635517,0.00013060251,0.00027611756,0.000009245446,0.00008432665,0.0025360433],"genre_scores_gemma":[0.9983479,0.0000903827,0.0006227153,0.00046697527,0.00009985139,0.0000044542817,0.0000022893603,0.00001713029,0.00034832576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987906,0.0002646958,0.0001798613,0.00019722404,0.00016211027,0.0004054947],"domain_scores_gemma":[0.9966724,0.0025667872,0.00011691988,0.00042844663,0.0000354618,0.00017999357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006053846,0.00018923348,0.00033711546,0.00010285862,0.00044721525,0.000013672955,0.00026720934,0.000079572485,0.00026888226],"category_scores_gemma":[0.00049449364,0.0001289869,0.00012645013,0.00024352114,0.00063129736,0.00013431572,0.00029474407,0.00031961594,0.00004376132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030906824,0.00027552928,0.03165304,0.00006104565,0.00025656554,0.000019170708,0.14897564,0.0000020014647,0.000013699813,0.7461494,0.010229881,0.06205492],"study_design_scores_gemma":[0.012112443,0.00027144433,0.25708988,0.000033619843,0.0007866818,0.00053529715,0.052877504,0.0005548221,0.000066486835,0.5505624,0.12402214,0.0010872993],"about_ca_topic_score_codex":0.037149493,"about_ca_topic_score_gemma":0.04341375,"teacher_disagreement_score":0.22543684,"about_ca_system_score_codex":0.00007231324,"about_ca_system_score_gemma":0.00005976642,"threshold_uncertainty_score":0.97404146},"labels":[],"label_agreement":null},{"id":"W3099993265","doi":"","title":"Alexander Invariants for Virtual Knots","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Alexander polynomial; Mathematics; Bracket polynomial; HOMFLY polynomial; Knot polynomial; Jones polynomial; Normalization (sociology); Combinatorics; Polynomial; Knot (papermaking); Algebra over a field; Pure mathematics; Knot invariant; Discrete mathematics; Alternating polynomial; Knot theory; Matrix polynomial; Square-free polynomial; Mathematical analysis","score_opus":0.08521962376862065,"score_gpt":0.3333386617931794,"score_spread":0.24811903802455876,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3099993265","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12877586,0.000017550603,0.8279058,0.0036928102,0.00046919068,0.00031260753,0.0000137048655,0.00015082878,0.038661692],"genre_scores_gemma":[0.8831054,0.0000034531367,0.0086964145,0.00031843534,0.00011234875,0.000019600579,5.567905e-7,0.000012401896,0.10773137],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943733,0.000013762628,0.00014046571,0.00013711449,0.00007086656,0.00020045822],"domain_scores_gemma":[0.9986901,0.0010231477,0.00003694506,0.00016066234,0.000037687005,0.00005145249],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015939701,0.00007154428,0.00012878486,0.00007527197,0.0000370728,0.000005820154,0.00010247704,0.00006828511,0.004109718],"category_scores_gemma":[0.00092276616,0.000038277663,0.00004764964,0.00008795327,0.000039278333,0.00005277323,0.00003606645,0.0000204274,0.00021390969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011391784,0.000043901426,0.00028079975,0.0000058825162,0.00002199019,8.848239e-7,0.00003143374,1.9153164e-8,0.0005046168,0.8859518,0.0961517,0.016995534],"study_design_scores_gemma":[0.002273612,0.00025222983,0.0015787813,0.000015119362,0.000024788453,0.000014536818,0.00011869002,0.000018522584,0.003910659,0.9512575,0.040327035,0.00020849003],"about_ca_topic_score_codex":0.0000034155362,"about_ca_topic_score_gemma":0.000008521,"teacher_disagreement_score":0.81920934,"about_ca_system_score_codex":0.0000117632735,"about_ca_system_score_gemma":0.000021799739,"threshold_uncertainty_score":0.99680066},"labels":[],"label_agreement":null},{"id":"W3100127623","doi":"","title":"REALISATION AND DISMANTLABILITY","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Contractible space; Realisation; Mapping class group; Combinatorics; Handlebody; Class (philosophy); Simple (philosophy); Graph; Pure mathematics; Surface (topology); Topology (electrical circuits); Geometry; Computer science","score_opus":0.0533856918161763,"score_gpt":0.3088668260863759,"score_spread":0.2554811342701996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100127623","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9561668,0.000008441371,0.026307033,0.0033387067,0.000037938917,0.00004861507,0.0000013969681,0.00005106856,0.01404],"genre_scores_gemma":[0.9934139,0.0000073113715,0.002470999,0.000040895728,0.000020042018,0.0000019741021,1.5307002e-7,0.00000228064,0.0040424233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997324,0.000016942242,0.00007094215,0.00007850194,0.00003739328,0.00006383647],"domain_scores_gemma":[0.99946785,0.0003793135,0.000017294935,0.00009922978,0.000012307304,0.000024015364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014381083,0.000029465271,0.00005386495,0.000026125374,0.000017654385,0.0000026133278,0.000022996714,0.0000243714,0.00050816673],"category_scores_gemma":[0.0005297161,0.000014621593,0.000008972684,0.000047270187,0.000049680988,0.000034043962,0.000019356232,0.00001068323,0.000018849674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002130765,0.0000152081675,0.014671336,0.000006885032,0.0000032319056,2.8442727e-7,0.00005334158,9.579103e-10,0.0002416894,0.9481559,0.0024004434,0.03444959],"study_design_scores_gemma":[0.00016826826,0.00001845135,0.035455417,0.0000023040582,0.0000036684419,0.0000036203173,0.000039664854,0.000001989029,0.00053414697,0.9622263,0.0015104234,0.000035745197],"about_ca_topic_score_codex":0.000014402551,"about_ca_topic_score_gemma":0.000012927275,"teacher_disagreement_score":0.03724712,"about_ca_system_score_codex":0.0000065945846,"about_ca_system_score_gemma":0.000003589895,"threshold_uncertainty_score":0.556407},"labels":[],"label_agreement":null},{"id":"W3100229227","doi":"","title":"Permutations, isotropy and smooth cyclic group actions on definite 4-manifolds","year":2004,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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; Westfälische Wilhelms-Universität Münster","keywords":"Mathematics; Equivariant map; Moduli space; Pure mathematics; Isotropy; Group action; Action (physics); Group (periodic table); Homology (biology); Mathematical analysis; Combinatorics","score_opus":0.05473560684874579,"score_gpt":0.3128323334142479,"score_spread":0.2580967265655021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100229227","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9058075,0.00006672328,0.029764364,0.0020872385,0.0001499116,0.00016747144,0.000007266693,0.00019423179,0.061755273],"genre_scores_gemma":[0.9853131,0.00005242946,0.012359648,0.0007102641,0.0000493401,0.000014645935,0.0000056305225,0.000015501393,0.0014793989],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993297,0.000020916932,0.0001657428,0.00018517603,0.00011080146,0.00018770336],"domain_scores_gemma":[0.99937266,0.00030504094,0.000049470975,0.00017972816,0.00002007836,0.00007300395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007852625,0.00011148279,0.00014085826,0.0002237837,0.0001594431,0.000024086567,0.00006530746,0.00007840504,0.00036984892],"category_scores_gemma":[0.00019705186,0.00009223379,0.00004424755,0.00028296892,0.000059576745,0.000066739325,0.000027164011,0.00011510498,0.00020488941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004167912,0.00013159796,0.00028063764,0.000009570009,0.000016563214,0.000004823752,0.00017335798,0.0000064174997,0.00009355841,0.9977599,0.0006224945,0.00089691335],"study_design_scores_gemma":[0.0010896556,0.0002889528,0.013355644,0.000013646802,0.000049838738,0.00005492354,0.0009426333,0.000014266861,0.00022241844,0.9769365,0.0068269395,0.00020455041],"about_ca_topic_score_codex":0.00008905154,"about_ca_topic_score_gemma":0.0000886104,"teacher_disagreement_score":0.07950562,"about_ca_system_score_codex":0.00003786038,"about_ca_system_score_gemma":0.000018143208,"threshold_uncertainty_score":0.4049586},"labels":[],"label_agreement":null},{"id":"W3100268016","doi":"","title":"ON LAGRANGIAN CONCORDANCE OF LEGENDRIAN KNOTS","year":2006,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université du Québec à Montréal","keywords":"Mathematics; Isotopy; Lagrangian; Concordance; Conjecture; Pure mathematics; Skein relation; Algebraic number; Bounding overwatch; Focus (optics); Relation (database); Mathematical analysis; Knot theory; Knot (papermaking); Artificial intelligence; Computer science","score_opus":0.02037214100627992,"score_gpt":0.2756753466236321,"score_spread":0.25530320561735215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100268016","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6635385,0.000044483466,0.0056583257,0.00035777315,0.00014555726,0.00008930296,0.0000047449976,0.000057646204,0.33010367],"genre_scores_gemma":[0.97954017,0.0000010622894,0.0039223763,0.00009414398,0.00005374197,0.000002062051,0.0000015697675,0.000007857464,0.01637701],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994425,0.000018525043,0.00018801828,0.00010567128,0.00010446742,0.00014078214],"domain_scores_gemma":[0.9993862,0.00031091162,0.00007141881,0.0001791501,0.000029052208,0.000023290504],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0000842707,0.00007015952,0.0001629026,0.00010046644,0.000020577236,0.000002947103,0.00009355815,0.000048281516,0.0009575074],"category_scores_gemma":[0.00009893658,0.000054903925,0.000051526942,0.00021986145,0.00005373856,0.00001824462,0.000014681034,0.000049152946,0.00009110266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005338849,0.0000856083,0.0005625776,0.000014919249,0.0000062421295,0.0000030949307,0.00001853057,0.0000020676023,0.00022591022,0.98205596,0.01625439,0.0007653817],"study_design_scores_gemma":[0.00070042483,0.00017419113,0.007591229,0.0000150518945,0.000015959313,0.000008902148,0.00009549047,0.000025770618,0.013069914,0.9712815,0.006877305,0.00014421031],"about_ca_topic_score_codex":0.00019094584,"about_ca_topic_score_gemma":0.0001315836,"teacher_disagreement_score":0.31600165,"about_ca_system_score_codex":0.000008598206,"about_ca_system_score_gemma":0.000012186644,"threshold_uncertainty_score":0.9999558},"labels":[],"label_agreement":null},{"id":"W3100335811","doi":"","title":"SEPARABILITY OF EMBEDDED SURFACES IN 3–MANIFOLDS","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"","keywords":"Mathematics; Fundamental group; Separable space; Pure mathematics; Manifold (fluid mechanics); Group (periodic table); Surface (topology); Algebra over a field; Mathematical analysis; Geometry","score_opus":0.044218071406995366,"score_gpt":0.3244668400865829,"score_spread":0.28024876867958753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100335811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97867936,0.000018066958,0.0014631468,0.00039650543,0.000048889673,0.000078978024,0.0000023276282,0.000028332506,0.019284368],"genre_scores_gemma":[0.9919036,0.0000053416748,0.0037532295,0.000015757016,0.000007467178,0.0000024675703,1.1132494e-7,0.000004360354,0.0043076915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934685,0.00004639806,0.00025243868,0.00012258929,0.00008943485,0.00014229593],"domain_scores_gemma":[0.9988985,0.0007659096,0.000058649923,0.00022034506,0.00003076972,0.00002582737],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036375667,0.00006051031,0.00019776885,0.00009417884,0.0000069891257,0.0000013803265,0.00010403692,0.000060297418,0.001889793],"category_scores_gemma":[0.0006660804,0.000033661086,0.000037454207,0.00022101881,0.00007152309,0.000040748342,0.000038400176,0.000026843729,0.00004089559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031465388,0.00044164577,0.19881229,0.00010104032,0.000029144914,0.0000049103783,0.0005033553,0.000001043475,0.00673626,0.7829235,0.0036139581,0.0068013817],"study_design_scores_gemma":[0.0009191109,0.00009595974,0.07852015,0.00002314565,0.000008301961,0.0000048567126,0.00029947268,0.000019481975,0.016077392,0.9034491,0.0004482311,0.00013477069],"about_ca_topic_score_codex":0.000055267596,"about_ca_topic_score_gemma":0.0001325098,"teacher_disagreement_score":0.12052562,"about_ca_system_score_codex":0.000015469672,"about_ca_system_score_gemma":0.00001947173,"threshold_uncertainty_score":0.9990226},"labels":[],"label_agreement":null},{"id":"W3100801666","doi":"","title":"Converting Between Quadrilateral and Standard Solution Sets in Normal Surface Theory","year":2009,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; RMIT University; University of Melbourne; University of Victoria","keywords":"Quadrilateral; Vertex (graph theory); Enumeration; Mathematics; Bipolar coordinates; Manifold (fluid mechanics); Topology (electrical circuits); Log-polar coordinates; Polytope; Surface (topology); Software; Set (abstract data type); Algorithm; Combinatorics; Orthogonal coordinates; Computer science; Geometry; Finite element method; Engineering","score_opus":0.028579514608656494,"score_gpt":0.3044552508120372,"score_spread":0.27587573620338074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100801666","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98725516,0.000071461356,0.00777562,0.00069845276,0.00003639213,0.000090847316,0.0000034326797,0.000053529235,0.004015089],"genre_scores_gemma":[0.99505043,0.000005041995,0.004209701,0.00012351655,0.000024312356,3.741513e-7,0.0000023279067,0.000005063309,0.00057924155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992125,0.00007907481,0.0002308579,0.00013568728,0.00009735484,0.00024455064],"domain_scores_gemma":[0.9994596,0.000330791,0.000052603566,0.00009002885,0.000019387944,0.000047547674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065718574,0.00008855395,0.00020322477,0.000083966326,0.000048229307,0.000013070685,0.00005470755,0.000081622784,0.00017018474],"category_scores_gemma":[0.00017005984,0.00007404116,0.000021489297,0.0001547723,0.000041304535,0.00009239373,0.00002968597,0.00011468389,0.000009231519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017779104,0.000105654435,0.37631825,0.000081276536,0.000058505706,0.000033159293,0.0035902,0.00001287099,0.00074350764,0.5441828,0.0017022815,0.0729937],"study_design_scores_gemma":[0.0012782795,0.0002659761,0.1867203,0.000025356718,0.00002841805,0.000015804642,0.00047349706,0.0003430396,0.0018948031,0.8085179,0.00019072944,0.00024592684],"about_ca_topic_score_codex":0.000028893455,"about_ca_topic_score_gemma":0.000018575745,"teacher_disagreement_score":0.26433507,"about_ca_system_score_codex":0.000023016222,"about_ca_system_score_gemma":0.000015868833,"threshold_uncertainty_score":0.3019311},"labels":[],"label_agreement":null},{"id":"W3100939755","doi":"","title":"The compressibility of minimal lattice knots","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"York University; University of British Columbia","funders":"","keywords":"Compressibility; Compressibility factor; Lattice (music); Mathematics; Geometry; Cubic crystal system; Materials science; Condensed matter physics; Thermodynamics; Physics","score_opus":0.0522579104765552,"score_gpt":0.32327499032064916,"score_spread":0.27101707984409396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3100939755","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9607933,0.00008494845,0.0043842103,0.0017127626,0.00011033494,0.00008744944,0.0000033549113,0.00003396845,0.032789644],"genre_scores_gemma":[0.98918897,0.000008072737,0.0029341825,0.000027594648,0.000024191258,0.0000024543956,5.3477372e-8,0.0000037325226,0.0078107268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943197,0.000050063478,0.00019648697,0.000090531685,0.000098305296,0.00013263687],"domain_scores_gemma":[0.99637675,0.003175178,0.00007386446,0.0002944212,0.000052678297,0.000027096714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032249803,0.00004895753,0.00011248728,0.000021619377,0.00004508219,0.000003257366,0.000166268,0.00003572896,0.00054681],"category_scores_gemma":[0.0011207343,0.000019103602,0.000041962678,0.00009456687,0.00018333083,0.000023947794,0.00006648443,0.000028902865,0.00004595077],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002800099,0.00011205418,0.005513116,0.00002397034,0.000034132838,8.155296e-7,0.0001275067,1.4230083e-8,0.0012461628,0.9577185,0.013006665,0.022189064],"study_design_scores_gemma":[0.0006813163,0.00010133529,0.037948567,0.00001621528,0.0000254441,0.0000058234477,0.0003080783,0.000014765059,0.011225993,0.93759,0.011979849,0.0001026111],"about_ca_topic_score_codex":0.000011590505,"about_ca_topic_score_gemma":0.000019278728,"teacher_disagreement_score":0.03243545,"about_ca_system_score_codex":0.0000070501314,"about_ca_system_score_gemma":0.000014998285,"threshold_uncertainty_score":0.5987186},"labels":[],"label_agreement":null},{"id":"W3101503498","doi":"","title":"Obstructions to Lagrangian concordance","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","funders":"","keywords":"Unknot; Knot (papermaking); Mathematics; Lagrangian; Concordance; Pure mathematics; Tricolorability; Connected sum; Combinatorics; Knot theory; Knot invariant; Medicine","score_opus":0.0367585376741197,"score_gpt":0.30565817499247133,"score_spread":0.26889963731835165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101503498","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6446653,0.000018422048,0.23057257,0.019767527,0.000620262,0.00018876228,0.000009075619,0.000268691,0.10388937],"genre_scores_gemma":[0.9225736,0.0000020775408,0.026453186,0.0004575409,0.00006587399,0.000009167137,1.1059131e-7,0.0000072536905,0.05043119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995616,0.000010746891,0.000104156425,0.00011019394,0.00006216438,0.0001511538],"domain_scores_gemma":[0.99941444,0.0002820577,0.000019998115,0.00017658171,0.000030642896,0.00007629476],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000057872174,0.000052015756,0.000092715425,0.000082142455,0.00003595999,0.0000042018087,0.00009068919,0.000029716444,0.0022788208],"category_scores_gemma":[0.0004379903,0.000029460676,0.000029942563,0.00023502402,0.000033167147,0.0000320282,0.000028540786,0.000021127908,0.00087112136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000022799418,0.000015264402,0.001429284,0.000002590857,0.000008566804,0.0000016101636,0.00005057964,3.711279e-8,0.0008692165,0.9357692,0.03796007,0.023891276],"study_design_scores_gemma":[0.0005183868,0.00008533195,0.008700128,0.00001546408,0.0000117854115,0.00003457375,0.00022527209,8.938621e-7,0.004147565,0.8061069,0.17996268,0.00019098826],"about_ca_topic_score_codex":0.000017187802,"about_ca_topic_score_gemma":0.00005408959,"teacher_disagreement_score":0.2779083,"about_ca_system_score_codex":0.000015462192,"about_ca_system_score_gemma":0.000010186634,"threshold_uncertainty_score":0.99990684},"labels":[],"label_agreement":null},{"id":"W3101613478","doi":"10.1142/s0129167x1650066x","title":"Some results on equivariant contact geometry for partial flag varieties","year":2016,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; University of Toronto","funders":"","keywords":"Flag (linear algebra); Equivariant map; Conjecture; Grassmannian; Vector bundle; Simple (philosophy); Transitive relation; Type (biology)","score_opus":0.0609656740657734,"score_gpt":0.340886950928887,"score_spread":0.2799212768631136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101613478","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4731848,0.0002070531,0.49093333,0.02393944,0.008041635,0.00057522854,0.0003861815,0.00008867314,0.0026436718],"genre_scores_gemma":[0.9659122,0.00007781777,0.029790541,0.00027137392,0.002075555,0.000008390049,0.000002608498,0.000034545366,0.0018269632],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976945,0.000043507276,0.0011158831,0.0001466934,0.00074533565,0.00025409547],"domain_scores_gemma":[0.99348634,0.0044425935,0.0011047472,0.00021847837,0.00064221764,0.00010558975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013202121,0.00017885452,0.00042005384,0.0004693342,0.00004726782,0.00005121172,0.000627424,0.00012159056,0.00014948961],"category_scores_gemma":[0.0082950415,0.00010693277,0.0002810106,0.00009665772,0.00006866112,0.000216965,0.00007613048,0.0001468185,0.00004499858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004131216,0.00056168635,0.000026235779,0.00004059681,0.0004644218,0.00006572216,0.00043639384,0.0000041621165,0.0011779687,0.9791392,0.014383722,0.003286782],"study_design_scores_gemma":[0.004068801,0.00080814684,0.000085010965,0.0003032414,0.000084910025,0.00034105644,0.00028447446,0.0000917203,0.0069848173,0.9768849,0.0098785395,0.00018440945],"about_ca_topic_score_codex":0.0000015823692,"about_ca_topic_score_gemma":7.0462977e-7,"teacher_disagreement_score":0.49272743,"about_ca_system_score_codex":0.0001252645,"about_ca_system_score_gemma":0.00010292374,"threshold_uncertainty_score":0.9930539},"labels":[],"label_agreement":null},{"id":"W3101672505","doi":"","title":"Homomorphisms between mapping class groups","year":2016,"lang":"en","type":"article","venue":"Arrow@dit (Dublin Institute of Technology)","topic":"Geometric and Algebraic Topology","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":"University of British Columbia","funders":"","keywords":"Mathematics; Genus; Holomorphic function; Boundary (topology); Homomorphism; Mapping class group; Endomorphism; Embedding; Isomorphism (crystallography); Combinatorics; Type (biology); Open mapping theorem (functional analysis); Pure mathematics; Surface (topology); Geometry; Mathematical analysis; Banach space; Eberlein–Šmulian theorem; Crystallography","score_opus":0.04919201212645175,"score_gpt":0.27709298456688847,"score_spread":0.22790097244043672,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101672505","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9442461,0.00020802584,0.036007233,0.01277293,0.001114364,0.0003623691,0.000050846236,0.0007739984,0.0044641006],"genre_scores_gemma":[0.9737386,0.00006291872,0.0246315,0.000071393006,0.00023906426,0.00004462039,0.0000074894187,0.000040003844,0.0011643782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976073,0.000030851872,0.00084864936,0.0005430681,0.0003244399,0.0006456951],"domain_scores_gemma":[0.99784034,0.00031119728,0.00049877097,0.0010425401,0.00019169468,0.00011545134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051508786,0.00033074888,0.0007708704,0.0017811938,0.00015456507,0.000013832839,0.0010679483,0.0007320474,0.0002431328],"category_scores_gemma":[0.0020954926,0.00024422706,0.00018367026,0.0019320907,0.0013322312,0.00035550538,0.00040271887,0.00037032852,0.00025007996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008515993,0.00012531762,0.008709694,0.0000745683,0.00016776459,0.000042200136,0.000046582958,3.5832147e-7,0.0042836214,0.9384288,0.0069165416,0.041196022],"study_design_scores_gemma":[0.0018401563,0.00021813136,0.00183834,0.0002385081,0.00009066965,0.000075301374,0.0002224489,0.000004998008,0.021015106,0.81507677,0.1589011,0.00047847445],"about_ca_topic_score_codex":0.000015904561,"about_ca_topic_score_gemma":0.000016484571,"teacher_disagreement_score":0.15198454,"about_ca_system_score_codex":0.00010116674,"about_ca_system_score_gemma":0.000108515225,"threshold_uncertainty_score":0.99592906},"labels":[],"label_agreement":null},{"id":"W3102001055","doi":"","title":"ASYMPTOTIC ENTROPY OF TRANSFORMED RANDOM WALKS","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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","funders":"","keywords":"Random walk; Ergodic theory; Mathematics; Markov chain; Stopping time; Combinatorics; Entropy (arrow of time); Statistical physics; Entropy rate; Markov process; Large deviations theory; Discrete mathematics; Pure mathematics; Binary entropy function; Principle of maximum entropy; Statistics; Physics; Quantum mechanics","score_opus":0.025316097950879933,"score_gpt":0.27710290081351546,"score_spread":0.25178680286263555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102001055","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7975979,0.000050165087,0.1646721,0.0020763797,0.00019020397,0.00025129734,0.0000055247683,0.00008844277,0.035067964],"genre_scores_gemma":[0.9890176,0.000025784475,0.0027805981,0.000042967604,0.000029490633,0.0000054446773,2.8870932e-7,0.000008549345,0.008089274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992973,0.000029891298,0.00025758814,0.0001029217,0.00012509417,0.00018716676],"domain_scores_gemma":[0.9987854,0.00090850587,0.000056698595,0.00016441739,0.00003581294,0.000049177394],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017573815,0.00007834,0.0002483732,0.00010810583,0.00001647947,0.000001964354,0.00010884682,0.000060667535,0.0039079427],"category_scores_gemma":[0.00042173738,0.00003967716,0.00009543593,0.00014265547,0.00007980322,0.00003822856,0.000011806882,0.00002961808,0.00008555308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012125804,0.00012871248,0.0014333983,0.000050223778,0.00007471357,0.0000025724596,0.00017667389,3.8364128e-8,0.0071317498,0.9596309,0.003067064,0.028182693],"study_design_scores_gemma":[0.009602051,0.00027999986,0.0019754572,0.000039879305,0.00007757615,0.000019360248,0.00013491236,0.000010739344,0.058212567,0.925987,0.0034669081,0.00019352011],"about_ca_topic_score_codex":0.0000073871274,"about_ca_topic_score_gemma":0.000005533894,"teacher_disagreement_score":0.19141969,"about_ca_system_score_codex":0.000011947733,"about_ca_system_score_gemma":0.000022070268,"threshold_uncertainty_score":0.9970026},"labels":[],"label_agreement":null},{"id":"W3102040980","doi":"","title":"Testing bi-orderability of knot groups","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Manitoba","funders":"","keywords":"Mathematics; Knot (papermaking); Combinatorics; Pure mathematics; Composite material; Materials science","score_opus":0.07906576913855361,"score_gpt":0.3072818948362704,"score_spread":0.22821612569771677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3102040980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9438961,0.000014083536,0.02165206,0.000671456,0.00007391118,0.00007884774,0.0000022429097,0.00007886019,0.033532448],"genre_scores_gemma":[0.9731619,8.207727e-7,0.024734907,0.00003123838,0.000032206673,0.0000028206173,9.4053114e-8,0.0000062944,0.0020297565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936414,0.000031596686,0.0002336793,0.00012761772,0.000091800524,0.00015117091],"domain_scores_gemma":[0.9973247,0.0022467738,0.000078807745,0.00023341985,0.00008127543,0.000035012803],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002997029,0.000064127344,0.00016680018,0.00007167096,0.000022843862,0.0000020198104,0.00010045187,0.00004822934,0.001219634],"category_scores_gemma":[0.004803508,0.000034967932,0.000037845504,0.0002755829,0.00009217025,0.000035757046,0.000056438475,0.00003188372,0.00004755061],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008419494,0.00025798773,0.10239498,0.00009926083,0.000027863049,0.0000018832136,0.000118175885,8.790482e-8,0.008889272,0.7804565,0.0024217109,0.10532385],"study_design_scores_gemma":[0.00043943463,0.00011242546,0.040088885,0.000020708287,0.000011925079,0.000008138428,0.00008337046,0.000009533325,0.0059069255,0.95264435,0.00057134306,0.000102960694],"about_ca_topic_score_codex":0.000034701145,"about_ca_topic_score_gemma":0.000008951886,"teacher_disagreement_score":0.17218785,"about_ca_system_score_codex":0.000011944549,"about_ca_system_score_gemma":0.000020261064,"threshold_uncertainty_score":0.9996934},"labels":[],"label_agreement":null},{"id":"W3103544790","doi":"","title":"Graph manifolds, left-orderability and amalgamation","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Floer homology; Homology (biology); Combinatorics; Fundamental group; Graph; Topology (electrical circuits); Singular homology; Manifold (fluid mechanics); Toroid; 3-manifold; Pure mathematics; Discrete mathematics","score_opus":0.02837527659406436,"score_gpt":0.277419219450973,"score_spread":0.24904394285690862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103544790","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9415031,0.000044203254,0.042414002,0.002341483,0.000073662544,0.00011199792,0.0000018097721,0.0001035256,0.013406235],"genre_scores_gemma":[0.98941404,0.000024274557,0.0070361127,0.00008527762,0.000024510922,0.000002829538,3.50433e-7,0.0000059846748,0.003406601],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994453,0.000032739725,0.00015246592,0.00015293891,0.00007956688,0.00013693968],"domain_scores_gemma":[0.9992824,0.00042330424,0.00004014759,0.00017477665,0.000033087766,0.000046277586],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002250562,0.000071245384,0.00011622453,0.000085541695,0.00004356141,0.000009027267,0.000053673262,0.000058595644,0.0015119709],"category_scores_gemma":[0.0004099524,0.00004021558,0.000026880394,0.00008744783,0.00006892822,0.00007436796,0.000037185753,0.000028117764,0.000054262724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000050356794,0.00004705409,0.024890542,0.000027878425,0.000013900401,9.580798e-7,0.000110848174,6.0992806e-9,0.00039255107,0.9554265,0.002811636,0.016273048],"study_design_scores_gemma":[0.0003468674,0.000038860842,0.046352997,0.00000560688,0.000008913133,0.000012806417,0.000056413675,0.0000026440136,0.00057728606,0.9512425,0.0012747968,0.00008030726],"about_ca_topic_score_codex":0.000015601858,"about_ca_topic_score_gemma":0.0000431306,"teacher_disagreement_score":0.047910977,"about_ca_system_score_codex":0.000009757445,"about_ca_system_score_gemma":0.0000073497763,"threshold_uncertainty_score":0.9994008},"labels":[],"label_agreement":null},{"id":"W3103609258","doi":"10.5167/uzh-30496","title":"Constructing infinitely many smooth structures on small 4-manifolds","year":2008,"lang":"en","type":"article","venue":"Zurich Open Repository and Archive (University of Zurich)","topic":"Geometric and Algebraic Topology","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 Waterloo","funders":"","keywords":"Mathematics; Symplectic geometry; Diffeomorphism; Homeomorphism (graph theory); Scheme (mathematics); Euler characteristic; Pairwise comparison; Pure mathematics; Euler's formula; Simply connected space; Topology (electrical circuits); Combinatorics; Mathematical analysis","score_opus":0.046867529915202565,"score_gpt":0.2396947823788344,"score_spread":0.19282725246363183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103609258","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91042703,0.00005413534,0.004594167,0.000121828845,0.00014108435,0.00027635982,0.000023502904,0.000048760463,0.08431312],"genre_scores_gemma":[0.9481533,0.000049007875,0.048132297,0.0000588362,0.000057581434,4.24261e-7,0.000007797708,0.000016815447,0.0035239456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858946,0.00033637066,0.00022031696,0.00039846147,0.00018245513,0.00027294623],"domain_scores_gemma":[0.99774265,0.001395235,0.00031797102,0.00033259735,0.00006347951,0.00014808039],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030007394,0.00020353409,0.00043875302,0.0002894405,0.0007481945,0.000029571356,0.0005986817,0.00010616008,0.00011605426],"category_scores_gemma":[0.00013470433,0.00021343492,0.00009501244,0.00028434268,0.0005237715,0.00016455913,0.0005669655,0.00026614885,0.00000881043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006911975,0.00044087478,0.06675091,0.00026841243,0.00043668484,0.0015988954,0.008506654,0.000012934308,0.0013066004,0.8979311,0.014343876,0.0077118375],"study_design_scores_gemma":[0.0076339142,0.0029155007,0.37694278,0.00034708527,0.00053700997,0.0034050466,0.032337673,0.00037239143,0.0035330278,0.5476345,0.022314472,0.002026612],"about_ca_topic_score_codex":0.00043443125,"about_ca_topic_score_gemma":0.000059306873,"teacher_disagreement_score":0.35029665,"about_ca_system_score_codex":0.000026873568,"about_ca_system_score_gemma":0.00007421173,"threshold_uncertainty_score":0.87036234},"labels":[],"label_agreement":null},{"id":"W3103781502","doi":"","title":"Symplectomorphism groups and embeddings of balls into rational ruled 4-manifolds","year":2009,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Symplectomorphism; Symplectic geometry; Mathematics; Diffeomorphism; Homotopy; Combinatorics; Homotopy group; Group (periodic table); Symplectic manifold; Embedding; Pure mathematics; Physics","score_opus":0.01815882488775645,"score_gpt":0.2868117171359769,"score_spread":0.2686528922482205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3103781502","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97407407,0.00008664431,0.012497874,0.0014395523,0.000053216296,0.00012911759,0.0000018449915,0.0000563483,0.011661346],"genre_scores_gemma":[0.976349,0.000010409317,0.0218449,0.00030533,0.00004139212,0.0000020755178,0.00000361535,0.0000056159365,0.0014376532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929786,0.000020793546,0.000251194,0.0001439428,0.0001470558,0.00013914926],"domain_scores_gemma":[0.99939567,0.00028299028,0.00008669464,0.00012059367,0.00005999195,0.000054047494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018649506,0.00009438373,0.00022069523,0.00015190111,0.00004472254,0.000010443361,0.000086691114,0.000076019074,0.00090736],"category_scores_gemma":[0.00025283676,0.000077952835,0.000039141483,0.00021516898,0.00005764244,0.00006525315,0.000029452816,0.000057736765,0.000014455282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007700477,0.00007799922,0.00052747095,0.000018576473,0.000018219902,0.000002491428,0.00032363244,2.8442702e-7,0.0022534586,0.9915222,0.00390572,0.0013422283],"study_design_scores_gemma":[0.0005915914,0.00019764015,0.009873167,0.00000901017,0.000024398803,0.000033190296,0.00012505401,0.00017473122,0.0021166666,0.98636824,0.00036800446,0.000118331045],"about_ca_topic_score_codex":0.000021315007,"about_ca_topic_score_gemma":0.00000820146,"teacher_disagreement_score":0.010223693,"about_ca_system_score_codex":0.000012968904,"about_ca_system_score_gemma":0.000019963754,"threshold_uncertainty_score":0.9934956},"labels":[],"label_agreement":null},{"id":"W3104517253","doi":"","title":"Homogeneous length functions on groups","year":2018,"lang":"en","type":"article","venue":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","topic":"Geometric and Algebraic Topology","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; Homogeneous; Combinatorics; Homogeneity (statistics); Triangle inequality; Banach space; Homogeneous function; Space (punctuation); Mathematical analysis","score_opus":0.03339386928584753,"score_gpt":0.28717728158374134,"score_spread":0.2537834122978938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104517253","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9392398,0.00002282134,0.00071986305,0.00014080615,0.0065547028,0.00028603847,0.000008087354,0.000102846265,0.052925006],"genre_scores_gemma":[0.9910578,0.0000031752134,0.0029251934,0.00014679636,0.0008872698,0.000023212102,0.000001909802,0.000018209255,0.0049363947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.997551,0.000037003847,0.00049079966,0.0005870453,0.00078536634,0.0005487466],"domain_scores_gemma":[0.99819946,0.00015512697,0.00028038572,0.000775638,0.00034928723,0.00024007875],"candidate_categories":["sts"],"consensus_categories":["sts"],"category_scores_codex":[0.0006448034,0.00022626731,0.00031433292,0.00081367226,0.0014008805,0.00008908058,0.0007554804,0.00014839266,0.000088083085],"category_scores_gemma":[0.00067432446,0.00019074375,0.00013098042,0.0016255768,0.006935939,0.00045711303,0.00012405647,0.00023220453,0.00022859637],"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":[0.0003367441,0.001999342,0.0071136737,0.000303698,0.00027198376,0.0007272571,0.011695367,0.00006353092,0.097876,0.8336011,0.012215454,0.03379585],"study_design_scores_gemma":[0.005031257,0.009407826,0.08514705,0.00076141796,0.00054075447,0.0052456954,0.006011686,0.00040478836,0.5562865,0.14254114,0.1849382,0.0036836674],"about_ca_topic_score_codex":0.00014111825,"about_ca_topic_score_gemma":0.00008159075,"teacher_disagreement_score":0.69105995,"about_ca_system_score_codex":0.00020696806,"about_ca_system_score_gemma":0.0005962463,"threshold_uncertainty_score":0.99989915},"labels":[],"label_agreement":null},{"id":"W3104836401","doi":"","title":"Pushing fillings in right-angled Artin groups","year":2013,"lang":"en","type":"article","venue":"Civil War Book Review","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"","keywords":"Isoperimetric inequality; Mathematics; Bounded function; Cube (algebra); Divergence (linguistics); Combinatorics; Order (exchange); Isometry (Riemannian geometry); Group (periodic table); Infinity; Function (biology); Upper and lower bounds; Pure mathematics; Mathematical analysis; Physics","score_opus":0.024440384754738836,"score_gpt":0.27875834856953347,"score_spread":0.25431796381479466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104836401","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019995362,0.9200322,0.0010334626,0.008819931,0.0003343205,0.002199687,0.0000033349427,0.00024247415,0.04733925],"genre_scores_gemma":[0.21059339,0.5992924,0.017886804,0.08237297,0.0010905981,0.0019022265,0.00006461996,0.00039117734,0.08640584],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9983544,0.00013361458,0.00064025976,0.00028834428,0.00018405213,0.0003993744],"domain_scores_gemma":[0.99876994,0.00043009475,0.00021216756,0.00042354767,0.00005960685,0.00010463398],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00065266533,0.00019913068,0.0006415238,0.00014388627,0.000053262767,0.000017127992,0.0002749096,0.000097964774,0.013809099],"category_scores_gemma":[0.0012298628,0.00015387809,0.00015188711,0.0004729543,0.00005383482,0.00020047362,0.0000884918,0.0002583932,0.0020988663],"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":[0.0000017784618,0.000204119,0.00065028726,0.0057396693,0.00004560354,0.00004936538,0.00036013318,2.7216004e-7,0.00005980018,0.04609867,0.9264096,0.02038071],"study_design_scores_gemma":[0.00042820294,0.000047548685,0.00065813964,0.004228592,0.00007861219,0.00004096267,0.00003382229,0.00003561431,0.00008334332,0.16742189,0.8265559,0.00038735912],"about_ca_topic_score_codex":0.000031292962,"about_ca_topic_score_gemma":0.00004275123,"teacher_disagreement_score":0.3207398,"about_ca_system_score_codex":0.000045579316,"about_ca_system_score_gemma":0.000025625004,"threshold_uncertainty_score":0.9986781},"labels":[],"label_agreement":null},{"id":"W3104977962","doi":"","title":"A field theory for symplectic fibrations over surfaces","year":2003,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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; Symplectic geometry; Pure mathematics; Fibered knot; Morphism; Fibration; Geodesic; Field (mathematics); Symplectomorphism; Surface (topology); Contractible space; Symplectic manifold; Isomorphism (crystallography); Algebra over a field; Homotopy; Mathematical analysis; Geometry","score_opus":0.041283735812541134,"score_gpt":0.32946779479381644,"score_spread":0.2881840589812753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3104977962","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25542256,0.0001134897,0.65406305,0.0008513373,0.00027959482,0.0004029656,0.0000048711854,0.00012575417,0.088736355],"genre_scores_gemma":[0.95829755,0.0000027981898,0.022389429,0.00047418778,0.000022665465,0.00002645754,9.5217086e-7,0.0000090929,0.018776875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951804,0.00005686476,0.00011973662,0.00010425933,0.000050024708,0.00015108091],"domain_scores_gemma":[0.99593586,0.0038384262,0.000031097486,0.0001387953,0.000026695849,0.000029123195],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00031519588,0.00006267473,0.000104208324,0.000063414445,0.00008112615,0.000013860396,0.000043615568,0.00005727017,0.003598748],"category_scores_gemma":[0.0030927232,0.000048336417,0.000053417745,0.00016584973,0.00001794801,0.000041527,0.000008431742,0.000040205276,0.000021525455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043177583,0.0000310927,0.00039424963,0.000014389543,0.000018447,2.9945414e-7,0.00007749695,0.0000013108817,0.000046372268,0.98291016,0.016282624,0.00021924474],"study_design_scores_gemma":[0.00022036435,0.000097437274,0.00009633686,0.0000020975287,0.000019985808,0.0000057114785,0.0002014777,0.000092826755,0.0018996163,0.9907217,0.006569576,0.000072843526],"about_ca_topic_score_codex":0.0000056729305,"about_ca_topic_score_gemma":0.00003566572,"teacher_disagreement_score":0.70287496,"about_ca_system_score_codex":0.000007004423,"about_ca_system_score_gemma":0.000028968048,"threshold_uncertainty_score":0.99731207},"labels":[],"label_agreement":null},{"id":"W3106100433","doi":"","title":"Generalizations of the Kolmogorov-Barzdin embedding estimates","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":26,"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; Ambrose Monell Foundation; National Science Foundation","keywords":"Mathematics; Isotopy; Embedding; Simplicial complex; Distortion (music); Measure (data warehouse); Euclidean geometry; Hyperbolic space; Euclidean space; Space (punctuation); Pure mathematics; Discrete mathematics; Geometry","score_opus":0.04361063450568507,"score_gpt":0.3234728387856076,"score_spread":0.27986220427992253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106100433","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7170638,0.000058701375,0.25728926,0.0035870369,0.00032282568,0.00017659541,0.000009625604,0.00010457014,0.021387635],"genre_scores_gemma":[0.9716813,0.000005396283,0.01835979,0.000066288165,0.000028447726,0.000004661345,2.2711639e-7,0.000008504206,0.009845412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950325,0.000022199732,0.00017269091,0.00008452883,0.00009410047,0.00012324084],"domain_scores_gemma":[0.99912,0.00050144,0.00007584574,0.00023639144,0.000044121272,0.00002218942],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000103558974,0.000059946135,0.00011083279,0.00005907577,0.00005607051,0.0000038723947,0.00016689999,0.00003826975,0.0014077468],"category_scores_gemma":[0.0009680081,0.000025728506,0.000054186337,0.0002464291,0.00008519936,0.0000341908,0.000073932286,0.00002205144,0.000023036086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[8.117856e-7,0.000033766006,0.0092757745,0.000012356459,0.000018843082,2.2969304e-7,0.00008141455,0.0000071351674,0.0050133066,0.9737365,0.0101777995,0.0016420168],"study_design_scores_gemma":[0.00042304784,0.000028617129,0.0045135836,0.00004334356,0.000045301917,0.000013975164,0.00013803168,0.0004375059,0.06942549,0.9227263,0.0020674998,0.00013732961],"about_ca_topic_score_codex":0.000014218143,"about_ca_topic_score_gemma":0.0000096506965,"teacher_disagreement_score":0.2546175,"about_ca_system_score_codex":0.000010948255,"about_ca_system_score_gemma":0.000019349867,"threshold_uncertainty_score":0.9995051},"labels":[],"label_agreement":null},{"id":"W3106216040","doi":"","title":"Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups","year":2008,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":121,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Braid group; Artin group; Braid; Combinatorics; Graph; Braid theory; Embedding; Artin L-function; Euler characteristic; Group (periodic table); Coxeter graph; Pure mathematics; Coxeter group; Conductor; Geometry; Voltage graph; Line graph; Computer science","score_opus":0.023958786845257263,"score_gpt":0.26097771287630156,"score_spread":0.2370189260310443,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106216040","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99308264,0.00046595023,0.0015700758,0.00045801798,0.000086875465,0.00029897728,0.0000065415643,0.00008780185,0.003943132],"genre_scores_gemma":[0.99140406,0.00017435498,0.00686712,0.0001630431,0.000036442558,0.0000067743913,0.0000041115245,0.000031415533,0.0013126998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980343,0.00010794089,0.00066233455,0.00046085706,0.0002634081,0.00047117824],"domain_scores_gemma":[0.99827236,0.00096636865,0.00022279538,0.0003167257,0.000060590555,0.0001611617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054314156,0.00028801002,0.0006967033,0.0004188018,0.00011421376,0.000017142436,0.00017738611,0.0002179587,0.0004196031],"category_scores_gemma":[0.0004073311,0.00024066221,0.00008673524,0.00087081676,0.0004410151,0.0002142943,0.00017614276,0.0002483748,0.000011824984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019904709,0.0011079952,0.2845111,0.00060048397,0.00020954804,0.00027363113,0.009478692,0.0000048552843,0.011241404,0.68513924,0.006051057,0.0011829197],"study_design_scores_gemma":[0.0060309465,0.00072694034,0.19917676,0.0001112312,0.00009931738,0.00085831084,0.0023928462,0.0003317616,0.013049716,0.775606,0.0005732404,0.0010429391],"about_ca_topic_score_codex":0.00015674735,"about_ca_topic_score_gemma":0.00022532443,"teacher_disagreement_score":0.09046672,"about_ca_system_score_codex":0.000019234143,"about_ca_system_score_gemma":0.000024008892,"threshold_uncertainty_score":0.981392},"labels":[],"label_agreement":null},{"id":"W3106223585","doi":"","title":"The Karoubi envelope and Lee’s degeneration of Khovanov homology","year":2006,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":48,"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":"Cobordism; Khovanov homology; Mathematics; Envelope (radar); Homology (biology); Pure mathematics; Dimension (graph theory); Simple (philosophy); Discrete mathematics; Algebra over a field; Computer science","score_opus":0.018346441921559715,"score_gpt":0.2593697902408957,"score_spread":0.24102334831933597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3106223585","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9553302,0.00040903324,0.011619632,0.0013147993,0.00012139222,0.00010172878,0.0000012367814,0.000026970498,0.031074988],"genre_scores_gemma":[0.98314875,0.000027300232,0.007585388,0.000047160738,0.000055071232,0.0000043457953,0.0000016763076,0.0000051332418,0.0091252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995027,0.000035545538,0.00019308653,0.00008706766,0.00006158083,0.00011999578],"domain_scores_gemma":[0.9993147,0.00043902925,0.000066178574,0.00012770793,0.000038875107,0.000013497488],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020177913,0.000056108947,0.000111104884,0.00005327308,0.00008424974,0.000008035304,0.0000663407,0.000056142686,0.000088991095],"category_scores_gemma":[0.000143597,0.00003401911,0.000019279061,0.00012822666,0.00012634636,0.000022022497,0.000035029996,0.00004092457,0.000007951535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000028604513,0.000022976046,0.0024437313,0.000006566787,0.0000074563372,7.979956e-7,0.000029561752,9.499913e-7,0.0006955023,0.9871302,0.0064235115,0.0032358514],"study_design_scores_gemma":[0.00041063988,0.00008867928,0.0126577215,0.0000021424569,0.00002312082,0.000048557482,0.00016975627,0.00007821741,0.013769827,0.95977557,0.012870486,0.000105307234],"about_ca_topic_score_codex":0.00011096421,"about_ca_topic_score_gemma":0.00033023054,"teacher_disagreement_score":0.027818503,"about_ca_system_score_codex":0.0000058373253,"about_ca_system_score_gemma":0.000017149121,"threshold_uncertainty_score":0.1387259},"labels":[],"label_agreement":null},{"id":"W3107130346","doi":"10.1017/s0017089523000022","title":"Finite image homomorphisms of the braid group and its generalizations","year":2023,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Georgia Institute of Technology; National Science Foundation","keywords":"Mathematics; Braid group; Quotient; Abelian group; Braid; Homomorphism; Cardinality (data modeling); Group (periodic table); Finite group; Combinatorics; Pure mathematics; Discrete mathematics; Data mining; Computer science","score_opus":0.043269971449885966,"score_gpt":0.2926494079329793,"score_spread":0.2493794364830933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3107130346","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89600384,0.00024120961,0.09384198,0.004300622,0.0004954043,0.00039249696,0.00003871578,0.00013489781,0.0045508044],"genre_scores_gemma":[0.9848847,0.0001270095,0.011845096,0.00016338205,0.00019896451,0.000011219423,0.0000025575669,0.00003891958,0.0027281735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985102,0.00012804115,0.0005414885,0.00013753343,0.00036900278,0.00031372736],"domain_scores_gemma":[0.99808174,0.0011841379,0.00025750452,0.00023953097,0.00010222517,0.00013486497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071942573,0.00014624407,0.00033388697,0.00021576865,0.00024405403,0.00005068766,0.0003093175,0.00009511183,0.00071437715],"category_scores_gemma":[0.002793296,0.000091021764,0.00014828822,0.0008522003,0.00019096988,0.00010700017,0.00020352974,0.00028222156,0.00011505897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000054020525,0.00014490764,0.00020382376,0.00020587539,0.00006263299,0.000028165106,0.00056184764,0.000009051257,0.0021677725,0.9900688,0.006043923,0.0004978145],"study_design_scores_gemma":[0.00048640772,0.000052310592,0.001149098,0.000088523426,0.00007756958,0.00060833053,0.00022246676,0.0027308827,0.0008746361,0.99320346,0.0003838737,0.00012246228],"about_ca_topic_score_codex":4.6155301e-7,"about_ca_topic_score_gemma":9.312552e-7,"teacher_disagreement_score":0.08888081,"about_ca_system_score_codex":0.000015104053,"about_ca_system_score_gemma":0.000037156922,"threshold_uncertainty_score":0.7821929},"labels":[],"label_agreement":null},{"id":"W3109531531","doi":"10.1093/imrn/rnac041","title":"Classification of Coadjoint Orbits for Symplectomorphism Groups of Surfaces","year":2022,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Symplectomorphism; Mathematics; Pure mathematics; Symplectic geometry","score_opus":0.268203931752728,"score_gpt":0.4505172112464352,"score_spread":0.18231327949370718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3109531531","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98710185,0.0001010529,0.005570397,0.0013868016,0.0003348032,0.0006594134,0.00022268764,0.000028400722,0.004594582],"genre_scores_gemma":[0.98182285,0.000011438556,0.017042907,0.000008054309,0.000048268143,0.00014089643,0.00003181113,0.000024251314,0.0008695283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99729186,0.00016942894,0.0007049762,0.00021868487,0.0013555785,0.00025949045],"domain_scores_gemma":[0.99283487,0.0053763296,0.00053896697,0.000304285,0.00089614914,0.00004938069],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0029770674,0.0001065184,0.00032951238,0.00069813704,0.00016710094,0.00002120124,0.00082984887,0.00005102212,0.00095164013],"category_scores_gemma":[0.0040273117,0.000099212826,0.000116974734,0.0005223607,0.00024883388,0.00008986674,0.00036261222,0.0002381674,0.0000074080494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063927255,0.00093165034,0.0004613453,0.00055522914,0.00016320976,0.0000018023293,0.0015203194,0.00014629537,0.008450382,0.98480093,0.0025196488,0.00038525733],"study_design_scores_gemma":[0.0008066815,0.00049302145,0.0013887609,0.00006798959,0.00003599654,0.000016440166,0.0053847306,0.02608142,0.0071022394,0.95644903,0.0020242701,0.00014944363],"about_ca_topic_score_codex":0.00004179415,"about_ca_topic_score_gemma":0.000014998603,"teacher_disagreement_score":0.028351927,"about_ca_system_score_codex":0.00011151391,"about_ca_system_score_gemma":0.00010438671,"threshold_uncertainty_score":0.9999616},"labels":[],"label_agreement":null},{"id":"W3110708565","doi":"10.1090/conm/760/15283","title":"Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants","year":2020,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Mathematics; Conjecture; Pure mathematics; Relatively hyperbolic group; Hyperbolic manifold; Hyperbolic 3-manifold; Mathematical analysis; Hyperbolic function","score_opus":0.0629408661837819,"score_gpt":0.2803182128455318,"score_spread":0.2173773466617499,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3110708565","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00058156735,0.0005963255,0.12705456,0.002286045,0.00022295298,0.0025313364,0.00021625301,0.0023692946,0.86414164],"genre_scores_gemma":[0.031408824,0.00018780888,0.639839,0.002908385,0.0014115056,0.00040976066,0.00012288697,0.003958513,0.31975332],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9937589,0.00025343502,0.0017141583,0.0014424624,0.0015505066,0.0012805259],"domain_scores_gemma":[0.99254715,0.0021445057,0.0024820154,0.0018498419,0.00012443312,0.00085204985],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0008545774,0.0016776983,0.0038752719,0.0002973792,0.00024600778,0.000240968,0.0016149563,0.00080018357,0.004254812],"category_scores_gemma":[0.0012314424,0.0013005441,0.0009706754,0.0017219939,0.0014982098,0.00019838991,0.00067358406,0.0014314236,0.0011678286],"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":[0.000023503308,0.00087869784,0.000062336614,0.004315471,0.0017980331,0.00023004288,0.003667224,3.735853e-7,0.0000284062,0.1395659,0.8488875,0.00054248975],"study_design_scores_gemma":[0.004189999,0.0014024371,0.000032368454,0.003682908,0.0020763446,0.0007542939,0.01465728,0.0026376024,0.0000776055,0.6802649,0.28457415,0.0056501506],"about_ca_topic_score_codex":0.00012940032,"about_ca_topic_score_gemma":0.000018221093,"teacher_disagreement_score":0.56431335,"about_ca_system_score_codex":0.00016713502,"about_ca_system_score_gemma":0.0005154862,"threshold_uncertainty_score":0.9996099},"labels":[],"label_agreement":null},{"id":"W3111063826","doi":"10.1093/imrn/rnaa310","title":"Monopole Floer Homology, Eigenform Multiplicities, and the Seifert–Weber Dodecahedral Space","year":2020,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"National Science Foundation","keywords":"Floer homology; Mathematics; Multiplicity (mathematics); Homology (biology); Dodecahedron; Eigenvalues and eigenvectors; Pure mathematics; Magnetic monopole; Homogeneous space; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.1972161666304062,"score_gpt":0.4182266369636655,"score_spread":0.22101047033325932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111063826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79811007,0.0007736291,0.0101196915,0.10542382,0.0005786984,0.0013988893,0.000070231865,0.00020804214,0.08331693],"genre_scores_gemma":[0.9766724,0.0001023771,0.017646616,0.00055565796,0.00039517166,0.00008134282,0.0000069894663,0.000036302696,0.004503122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975023,0.00019573508,0.00048687987,0.0003311247,0.0009960715,0.00048785776],"domain_scores_gemma":[0.99309367,0.005838031,0.00017264923,0.0003246232,0.00038353776,0.00018746933],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017603023,0.00020512697,0.00037992903,0.00026065815,0.00028165296,0.00021966778,0.00090698304,0.00013691331,0.00074346433],"category_scores_gemma":[0.00645101,0.0001323738,0.000106454696,0.00039267782,0.0011151804,0.0002061005,0.0006893748,0.0006100448,0.00023524358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000120665536,0.00013772862,0.00022587161,0.00017208321,0.00023507996,0.000021540745,0.008838151,0.000020551817,0.00009211876,0.9818542,0.0074133826,0.0008686511],"study_design_scores_gemma":[0.0029510893,0.00015838283,0.00021729844,0.00006889525,0.00005943701,0.000068358655,0.011342738,0.072967924,0.001089425,0.8950103,0.015739668,0.00032646625],"about_ca_topic_score_codex":0.00013772327,"about_ca_topic_score_gemma":0.000046351914,"teacher_disagreement_score":0.17856234,"about_ca_system_score_codex":0.00005976884,"about_ca_system_score_gemma":0.00007791697,"threshold_uncertainty_score":0.8140413},"labels":[],"label_agreement":null},{"id":"W3111921677","doi":"10.4171/ggd/588","title":"Entropy and drift for word metrics on relatively hyperbolic groups","year":2020,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Entropy (arrow of time); Word (group theory); Pure mathematics; Geometry; Thermodynamics","score_opus":0.03414773469476086,"score_gpt":0.2684455752299691,"score_spread":0.23429784053520825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111921677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9005214,0.0006123073,0.09466992,0.002494033,0.00022441578,0.0004826444,0.000112961265,0.00013313661,0.000749191],"genre_scores_gemma":[0.98676574,0.0002508769,0.011200765,0.0010630076,0.00022969847,0.00002542862,0.000035151064,0.000046934678,0.00038238917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983165,0.00006061875,0.00039075836,0.00053684466,0.00023381317,0.00046142124],"domain_scores_gemma":[0.997262,0.00196178,0.00018459166,0.0002168901,0.000067737376,0.00030700225],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00035262248,0.0003063283,0.00054504984,0.00050218595,0.00022901375,0.00006150944,0.00018022866,0.00025983818,0.000037919213],"category_scores_gemma":[0.0024355785,0.00027529555,0.000107385,0.0015372923,0.00016861592,0.00013154134,0.00015676711,0.00035833716,0.0000134421425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015792508,0.00012680159,0.00949702,0.00022994369,0.00011139819,0.0000119648,0.0005113113,0.000008428747,0.000021702408,0.96880335,0.0007591367,0.019761048],"study_design_scores_gemma":[0.005545879,0.002663256,0.029612174,0.000061451196,0.00042785198,0.00009764682,0.002914194,0.06829992,0.00007247121,0.8793781,0.009623694,0.0013034095],"about_ca_topic_score_codex":0.000004770658,"about_ca_topic_score_gemma":0.000005662611,"teacher_disagreement_score":0.089425266,"about_ca_system_score_codex":0.00004574722,"about_ca_system_score_gemma":0.000019045483,"threshold_uncertainty_score":0.9999699},"labels":[],"label_agreement":null},{"id":"W3112137155","doi":"10.1112/blms.12491","title":"Minimal crossing number implies minimal supporting genus","year":2021,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Equivalence (formal languages); Link (geometry); Equivalence class (music); Class (philosophy); Genus; Diagram","score_opus":0.027955661553604835,"score_gpt":0.3052537028876729,"score_spread":0.27729804133406805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112137155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97376436,0.00015930751,0.0028944816,0.0069064638,0.00020147939,0.00024853635,0.000018772806,0.00008763549,0.015718965],"genre_scores_gemma":[0.8070738,0.000009359576,0.1765853,0.0010590901,0.00022508425,0.000022957238,0.0000029141388,0.0000664392,0.014955089],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99746317,0.00014009283,0.0009101563,0.0003613453,0.0005197635,0.0006055002],"domain_scores_gemma":[0.99676,0.001850496,0.0004760982,0.00062268623,0.00018016137,0.00011056533],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009099427,0.000263674,0.0006415355,0.000015165424,0.00037988924,0.000091561524,0.00045426388,0.00024092896,0.00897197],"category_scores_gemma":[0.0031979666,0.00018748711,0.0008438515,0.0003435839,0.0006875054,0.000021737042,0.0005952633,0.0003587111,0.00025570273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007101643,0.0020300113,0.01000061,0.0038110118,0.0008152584,0.00007272754,0.012165889,0.0000057077277,0.0059013623,0.5078634,0.4526976,0.004565419],"study_design_scores_gemma":[0.0022990245,0.00009117532,0.0036270113,0.000429094,0.0005053286,0.0009481084,0.007663084,0.00029125685,0.037110798,0.83130103,0.11482345,0.0009106562],"about_ca_topic_score_codex":0.000009849716,"about_ca_topic_score_gemma":0.000001056651,"teacher_disagreement_score":0.33787414,"about_ca_system_score_codex":0.00004791563,"about_ca_system_score_gemma":0.00013510184,"threshold_uncertainty_score":0.99193394},"labels":[],"label_agreement":null},{"id":"W3112383070","doi":"10.1090/conm/760","title":"Characters in Low-Dimensional Topology","year":2020,"lang":"en","type":"book","venue":"Contemporary mathematics - American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Ramification; Cover (algebra); Character (mathematics); Prime (order theory); Knot (papermaking); Algebraically closed field; Variety (cybernetics); Pure mathematics; Combinatorics; Topology (electrical circuits); Discrete mathematics; Geometry","score_opus":0.04884515284936918,"score_gpt":0.2941710008726307,"score_spread":0.24532584802326152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112383070","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011489934,0.0012498276,0.016582951,0.010567592,0.0009443631,0.005517962,0.00041663396,0.0015905395,0.9516402],"genre_scores_gemma":[0.058466528,0.0002589412,0.19195342,0.009719165,0.0019663179,0.0006973625,0.00069704244,0.0014794621,0.7347618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99308,0.00023534625,0.0028513116,0.0013926426,0.0012303608,0.0012103411],"domain_scores_gemma":[0.99036664,0.005336938,0.0021011452,0.0013566107,0.00018484863,0.000653818],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0012406316,0.0014342729,0.0042430297,0.00036236056,0.00016879063,0.00008457633,0.0012820108,0.0009991424,0.0014736418],"category_scores_gemma":[0.001431457,0.0012989336,0.0014722268,0.00091316196,0.0022733768,0.00018627837,0.00077264605,0.0022796746,0.001165535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005232886,0.0015235688,0.000041519106,0.005631551,0.0010972609,0.00033741968,0.0058718487,0.0000020265977,0.00003003668,0.69629073,0.28864017,0.00048156676],"study_design_scores_gemma":[0.0011789778,0.0003485686,0.000021852868,0.0012300848,0.00024939695,0.00010044226,0.0014868366,0.0017251578,0.000022170074,0.98228794,0.009874643,0.0014739087],"about_ca_topic_score_codex":0.000014045825,"about_ca_topic_score_gemma":0.0000037862312,"teacher_disagreement_score":0.28599724,"about_ca_system_score_codex":0.00059382303,"about_ca_system_score_gemma":0.0013231229,"threshold_uncertainty_score":0.99984074},"labels":[],"label_agreement":null},{"id":"W3113074087","doi":"10.17863/cam.53994","title":"The cohomology of Torelli groups is algebraic","year":2020,"lang":"en","type":"article","venue":"Open MIND","topic":"Geometric and Algebraic Topology","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":"The Scarborough Hospital; University of Toronto","funders":"Leverhulme Trust","keywords":"Mathematics; Cohomology; Group (periodic table); Nilpotent; Algebraic number; Space (punctuation); Group cohomology; Classifying space; Pure mathematics; Combinatorics; Algebraic group; Algebra over a field; Mathematical analysis; Physics; Linguistics","score_opus":0.11326371232527296,"score_gpt":0.34791875827438623,"score_spread":0.23465504594911327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3113074087","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93571913,0.00032225432,0.0007497992,0.014139758,0.00021019136,0.00045859348,0.000019104367,0.0000032919227,0.04837788],"genre_scores_gemma":[0.9915488,0.00002429964,0.0047410317,0.0004936335,0.000088953864,0.0000072811677,0.0000022271738,0.000012277918,0.0030815399],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991564,0.000066146575,0.00027945178,0.00019283745,0.00011241353,0.00019270867],"domain_scores_gemma":[0.9987974,0.00067821477,0.0001503692,0.00026217554,0.000040129657,0.00007167406],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027946968,0.00009030737,0.00024775392,0.000024741608,0.00008507302,0.000027969912,0.0006814639,0.0000783052,0.0055341674],"category_scores_gemma":[0.0005319047,0.00006035678,0.000056385346,0.00027838035,0.00017308597,0.000042189644,0.00031235194,0.000113353286,0.0005244764],"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":[0.00026853697,0.00038876146,0.006288694,0.00009842458,0.00056684634,0.00007789106,0.019179355,0.0000017392881,0.0013094632,0.4330421,0.2162301,0.3225481],"study_design_scores_gemma":[0.0019115243,0.00091562315,0.0013016171,0.00001877319,0.0001793624,0.000052833013,0.0040921527,0.00014837956,0.018138317,0.40088576,0.5719168,0.00043884743],"about_ca_topic_score_codex":0.000015828042,"about_ca_topic_score_gemma":0.000013102909,"teacher_disagreement_score":0.35568672,"about_ca_system_score_codex":0.000007226937,"about_ca_system_score_gemma":0.000046534547,"threshold_uncertainty_score":0.9953749},"labels":[],"label_agreement":null},{"id":"W3117465621","doi":"10.2140/agt.2022.22.3023","title":"Quasi-isometric rigidity of subgroups and filtered ends","year":2022,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Coset; Combinatorics; Isometric exercise; Finitely-generated abelian group; Rigidity (electromagnetism); Isometry (Riemannian geometry); Finitely generated group; Pure mathematics; Physics","score_opus":0.03461357766454062,"score_gpt":0.2843345811517023,"score_spread":0.24972100348716167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3117465621","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98586607,0.0035694982,0.004024406,0.0010336871,0.0011813461,0.00044804276,0.00011403402,0.00017076239,0.0035921582],"genre_scores_gemma":[0.99449563,0.00017304318,0.00242225,0.0003310292,0.0001423341,0.00010722799,0.000034278884,0.00005809783,0.0022361132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99576205,0.0006040846,0.0010914683,0.0008414984,0.00072445354,0.00097643834],"domain_scores_gemma":[0.99355406,0.004470774,0.00069615257,0.00088200835,0.00013989827,0.00025710143],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017140601,0.00042805148,0.0011895166,0.006590579,0.0004666517,0.000019726733,0.0008379377,0.00025225917,0.007082498],"category_scores_gemma":[0.003877601,0.0004341715,0.000257971,0.012637887,0.0006266182,0.00013241242,0.0011298485,0.0007468343,0.0000336161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019954257,0.00330864,0.06148325,0.00032075294,0.0006263937,0.00016221954,0.0011629072,0.000009985271,0.00035900777,0.84730667,0.019347465,0.0657132],"study_design_scores_gemma":[0.0060138335,0.008014787,0.08486329,0.0000133114,0.0005139281,0.0019243717,0.0037798278,0.00015536371,0.0018588714,0.8507592,0.04045272,0.0016504857],"about_ca_topic_score_codex":0.00043136394,"about_ca_topic_score_gemma":0.000023244937,"teacher_disagreement_score":0.06406271,"about_ca_system_score_codex":0.00015446935,"about_ca_system_score_gemma":0.00013464522,"threshold_uncertainty_score":0.999811},"labels":[],"label_agreement":null},{"id":"W3117943292","doi":"10.1142/9789811273230_0022","title":"Waist Inequality for 3-Manifolds with Positive Scalar Curvature","year":2023,"lang":"en","type":"book-chapter","venue":"WORLD SCIENTIFIC eBooks","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Scalar curvature; Waist; Curvature; Mathematics; Scalar (mathematics); Mathematical analysis; Pure mathematics; Geometry; Medicine; Internal medicine","score_opus":0.07157314676759807,"score_gpt":0.2992746242668382,"score_spread":0.22770147749924013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3117943292","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00037845367,0.00009124212,0.0014025832,0.0003669354,0.002417309,0.0015338147,0.000844231,0.00041180436,0.99255365],"genre_scores_gemma":[0.0074716946,3.768916e-7,0.0022811058,0.00013680373,0.00035875387,0.00007516899,0.00024451796,0.00016556986,0.98926604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99689585,0.000040396564,0.00060214696,0.0011092642,0.0007226657,0.0006297021],"domain_scores_gemma":[0.9966808,0.0010360446,0.00049635716,0.0010401127,0.0005488682,0.00019783076],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001331515,0.00055387313,0.00083442713,0.0010578322,0.0005719006,0.00022178497,0.0005467676,0.0003960491,0.00027988644],"category_scores_gemma":[0.00017456453,0.00044346388,0.0003306842,0.00024155303,0.0008252312,0.000042460837,0.00021373943,0.0006261435,0.00026373373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041786323,0.00002124833,0.00000965144,0.00021128281,0.00017951752,0.000036362388,0.00023442697,2.3105574e-7,0.000013266916,0.8934167,0.104984865,0.00085066224],"study_design_scores_gemma":[0.00041140526,0.0000925777,0.000027179642,0.0003149698,0.0002486667,0.000008922036,0.000029740751,0.000006215999,0.00014300553,0.58170545,0.41651466,0.00049719785],"about_ca_topic_score_codex":0.0000066386033,"about_ca_topic_score_gemma":0.0024989212,"teacher_disagreement_score":0.31171122,"about_ca_system_score_codex":0.00010876193,"about_ca_system_score_gemma":0.00021643616,"threshold_uncertainty_score":0.9998017},"labels":[],"label_agreement":null},{"id":"W3119087094","doi":"10.26493/2590-9770.1354.b40","title":"Locally spherical hypertopes from generalised cubes","year":2020,"lang":"en","type":"article","venue":"The Art of Discrete and Applied Mathematics","topic":"Geometric and Algebraic Topology","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","funders":"","keywords":"Coxeter group; Mathematics; Polytope; Degenerate energy levels; Rank (graph theory); Transitive relation; Combinatorics; Type (biology); Uniform k 21 polytope; Pure mathematics; Geometry; Regular polygon; Physics","score_opus":0.040479420470695554,"score_gpt":0.2570595551466618,"score_spread":0.21658013467596623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119087094","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89916426,0.00026980462,0.065916196,0.0067704865,0.000037932634,0.00047939067,0.000042799173,0.00011891876,0.027200209],"genre_scores_gemma":[0.894768,0.0000507045,0.10402012,0.00084483845,0.00011766647,0.000013949826,0.000008516611,0.000027872356,0.00014833003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989763,0.00002011836,0.000390335,0.00019294387,0.00022184306,0.00019844095],"domain_scores_gemma":[0.99882215,0.000601105,0.00016194384,0.00028887583,0.000020266853,0.00010562656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013880269,0.0001776431,0.00045344196,0.000018305383,0.00007882697,0.000021697428,0.00028020624,0.000071295886,0.0002229653],"category_scores_gemma":[0.00014610542,0.0001071851,0.00006545326,0.00017846024,0.00023305055,0.000030461879,0.00018057165,0.00012970813,0.00003728898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007027762,0.00019463389,0.000047642003,0.00030631744,0.00023207637,0.000004985238,0.0061324365,0.0000312873,0.02254668,0.9529086,0.014677787,0.0028473279],"study_design_scores_gemma":[0.0013410482,0.00019550354,0.00008829459,0.00004585143,0.00033699558,0.000011158118,0.0051318705,0.003829519,0.025766011,0.95614284,0.0066672773,0.00044362884],"about_ca_topic_score_codex":0.0000058293294,"about_ca_topic_score_gemma":0.0000018980414,"teacher_disagreement_score":0.038103923,"about_ca_system_score_codex":0.000003761851,"about_ca_system_score_gemma":0.000013764442,"threshold_uncertainty_score":0.43708816},"labels":[],"label_agreement":null},{"id":"W3121015740","doi":"10.1515/forum-2022-0269","title":"Sublinearly Morse boundaries from the viewpoint of combinatorics","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","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":"Hyperplane; Mathematics; Combinatorics; Geodesic; Boundary (topology); Subspace topology; Vertex (graph theory); Graph; Geometry; Mathematical analysis","score_opus":0.05169675815522578,"score_gpt":0.3083639687264247,"score_spread":0.2566672105711989,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3121015740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9699806,0.00035918603,0.009829257,0.012586643,0.0011289545,0.00062948064,0.00010617981,0.0004504086,0.0049293237],"genre_scores_gemma":[0.99337685,0.000024226194,0.0029803957,0.00020884382,0.00007960877,0.00004331212,0.000023072305,0.000048109978,0.0032155518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983271,0.00007084225,0.0005887781,0.00019962552,0.00040703194,0.00040664422],"domain_scores_gemma":[0.9966655,0.0021807775,0.00032273078,0.0006598945,0.00011033123,0.000060787195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073797564,0.00018949284,0.00047305747,0.00015069112,0.00026044255,0.000080883634,0.00048765924,0.00011130252,0.00031759357],"category_scores_gemma":[0.0023896678,0.00012113976,0.00016758229,0.0011289913,0.0003462008,0.00009090377,0.0002605684,0.00018804244,0.00039799663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057826605,0.00010369083,0.00064050226,0.000119010525,0.000072093906,0.000005873816,0.0022957525,6.630959e-7,0.000051597777,0.9031372,0.093310446,0.00025740496],"study_design_scores_gemma":[0.0003411687,0.00006340906,0.00057154405,0.00006211002,0.00005854437,0.0000065950135,0.0031295489,0.00037434604,0.0006766964,0.9860605,0.008521856,0.00013365305],"about_ca_topic_score_codex":0.000097465214,"about_ca_topic_score_gemma":0.00002576041,"teacher_disagreement_score":0.08478858,"about_ca_system_score_codex":0.000022586179,"about_ca_system_score_gemma":0.00007673819,"threshold_uncertainty_score":0.51155746},"labels":[],"label_agreement":null},{"id":"W3121163412","doi":"","title":"Combination of quasiconvex subgroups of relatively hyperbolic groups","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Quasiconvex function; Mathematics; Pure mathematics; Relatively hyperbolic group; Hyperbolic manifold; Hyperbolic function; Mathematical analysis; Regular polygon; Subderivative; Geometry","score_opus":0.05346668766813771,"score_gpt":0.3033536540988214,"score_spread":0.2498869664306837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3121163412","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96681064,0.0001331124,0.007048615,0.000117668635,0.00013518812,0.000111758374,0.0000021566343,0.000027986205,0.025612857],"genre_scores_gemma":[0.99444836,0.000007762384,0.0042710747,0.000023039065,0.000029821345,0.0000034685888,0.0000022311333,0.00001017978,0.0012040533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991834,0.000060511098,0.0003397355,0.00007630185,0.00016107089,0.00017898025],"domain_scores_gemma":[0.9989012,0.00056710496,0.00022651865,0.00017231234,0.00008407803,0.000048776757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004081552,0.00008140346,0.00027332114,0.00018288729,0.000018501694,0.0000012601721,0.000099574914,0.000089377005,0.0005385843],"category_scores_gemma":[0.00048253863,0.00006648313,0.0000671442,0.00036741598,0.00010470239,0.000121160796,0.00004013925,0.0000734752,0.000027333157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000575829,0.00038535098,0.04064597,0.00005727811,0.000026560265,9.655472e-8,0.0009633189,6.359342e-8,0.0007297956,0.9559105,0.00043623196,0.0008390938],"study_design_scores_gemma":[0.0014194227,0.0003213066,0.28562182,0.000024463869,0.00008849795,0.000014118014,0.0019031212,0.000060641494,0.028975425,0.68082243,0.00052702695,0.00022172333],"about_ca_topic_score_codex":0.000036247508,"about_ca_topic_score_gemma":0.0000022578024,"teacher_disagreement_score":0.27508804,"about_ca_system_score_codex":0.000012674758,"about_ca_system_score_gemma":0.000011517842,"threshold_uncertainty_score":0.589712},"labels":[],"label_agreement":null},{"id":"W3121461622","doi":"10.5802/ahl.71","title":"Kesten–McKay law for the Markoff surface mod <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math>","year":2021,"lang":"en","type":"article","venue":"Annales Henri Lebesgue","topic":"Geometric and Algebraic Topology","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":"Mathematics; Eigenvalues and eigenvectors; Surface (topology); Graph; Combinatorics; Geometry; Physics; Quantum mechanics","score_opus":0.036087160989068466,"score_gpt":0.27381575585226325,"score_spread":0.23772859486319478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3121461622","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9830215,0.0018305233,0.002566402,0.0029218802,0.0007789288,0.00012587296,0.00010296936,0.00015741946,0.008494503],"genre_scores_gemma":[0.98932517,0.00033179682,0.005076002,0.0016842867,0.0005285111,0.00015573097,0.000098676814,0.00013659125,0.002663232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973494,0.00012499405,0.00060556736,0.0005910969,0.00052265875,0.00080627383],"domain_scores_gemma":[0.99594724,0.0022915204,0.00035358543,0.0010518624,0.00016448059,0.0001913247],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008533038,0.00034747628,0.00032716364,0.00007929717,0.0006225745,0.0001921492,0.0006385413,0.00045833457,0.00024011421],"category_scores_gemma":[0.00094441976,0.0003381872,0.00053579465,0.00045399403,0.00040564773,0.00023319505,0.00042146925,0.0004717894,0.00086680497],"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":[0.000066845045,0.00018023819,0.000017221784,0.00033065537,0.0003102686,0.00014767722,0.00077159907,0.00013581618,0.00032096563,0.9854078,0.011400079,0.00091079046],"study_design_scores_gemma":[0.0040175198,0.0015245653,0.00041145866,0.00077914225,0.0016783244,0.0022184956,0.010184469,0.35559583,0.048355,0.18537033,0.38745588,0.002409006],"about_ca_topic_score_codex":0.00021798087,"about_ca_topic_score_gemma":0.00044941303,"teacher_disagreement_score":0.8000375,"about_ca_system_score_codex":0.0000145196,"about_ca_system_score_gemma":0.0003022377,"threshold_uncertainty_score":0.9999111},"labels":[],"label_agreement":null},{"id":"W3122681344","doi":"","title":"Concordance of knots in S1×S2","year":2018,"lang":"en","type":"article","venue":"MPG.PuRe (Max Planck Society)","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Knot (papermaking); Concordance; Mathematics; Knot theory; Pairwise comparison; Combinatorics; Winding number; Topology (electrical circuits); Class (philosophy); Linking number; Computer science; Mathematical analysis; Statistics; Biology; Artificial intelligence; Bioinformatics","score_opus":0.034277092057308944,"score_gpt":0.30742747877689863,"score_spread":0.2731503867195897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3122681344","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9728197,0.00032292606,0.0017101141,0.0005284232,0.0006861957,0.00026970438,0.000037592898,0.0000932513,0.023532134],"genre_scores_gemma":[0.98681694,0.000040950214,0.008530392,0.00039332526,0.00042298666,0.000013934897,0.000010570846,0.000028601431,0.0037422802],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854475,0.000050485403,0.00043625085,0.00030025432,0.00024031858,0.00042794834],"domain_scores_gemma":[0.99876374,0.0004617947,0.0002180799,0.00038060232,0.00010377642,0.0000719977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029857492,0.00019321908,0.00047554768,0.00009673203,0.00006534956,0.000010249366,0.0003084943,0.00025531935,0.0008631161],"category_scores_gemma":[0.00035791204,0.00017692012,0.00017016025,0.0008044132,0.00033047103,0.000071833376,0.0000978948,0.0002685446,0.00020493718],"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":[0.00010482511,0.0007639145,0.11071053,0.0007234839,0.00029604946,0.00004622252,0.011729694,0.000005301914,0.0043705828,0.25582853,0.6105293,0.004891536],"study_design_scores_gemma":[0.0077229734,0.0013634192,0.051610626,0.00049489125,0.00017538974,0.00010694372,0.0061794035,0.0006631951,0.01663084,0.68427944,0.22908877,0.0016841153],"about_ca_topic_score_codex":0.000055208755,"about_ca_topic_score_gemma":0.0001147662,"teacher_disagreement_score":0.4284509,"about_ca_system_score_codex":0.000051906572,"about_ca_system_score_gemma":0.00008274069,"threshold_uncertainty_score":0.9450516},"labels":[],"label_agreement":null},{"id":"W3123563695","doi":"","title":"Grope metrics and the knot concordance set","year":2017,"lang":"en","type":"article","venue":"MPG.PuRe (Max Planck Society)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Knot (papermaking); Mathematics; Infimum and supremum; Concordance; Conjecture; Discrete mathematics; Combinatorics; Pure mathematics","score_opus":0.054247008098573024,"score_gpt":0.31166423169829105,"score_spread":0.257417223599718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3123563695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8813008,0.005368315,0.007622897,0.018382994,0.0027868354,0.0013856896,0.00020258025,0.00036919845,0.08258071],"genre_scores_gemma":[0.98443836,0.00042342796,0.004246817,0.0010596866,0.0005122533,0.000029817098,0.000009015702,0.00003741022,0.009243225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851763,0.00008598271,0.00030531274,0.00035146807,0.00030308988,0.00043652146],"domain_scores_gemma":[0.9971142,0.0014283226,0.0003829375,0.0008823393,0.00008650046,0.00010571466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008564904,0.0002469567,0.0005129799,0.000054843124,0.00090313674,0.0001971053,0.0007013789,0.0002306546,0.00015558049],"category_scores_gemma":[0.0019187009,0.00016120482,0.00021801739,0.00029632676,0.0008280149,0.00014389849,0.00033786386,0.0004448789,0.000065395565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007555691,0.000090671994,0.024711601,0.00022120072,0.00038695222,0.000033958822,0.0033792914,0.000001300056,0.000048385842,0.61461705,0.3520521,0.0043819174],"study_design_scores_gemma":[0.009624214,0.0001961845,0.019556405,0.000083439576,0.00040768905,0.0001818575,0.0027343181,0.0008096324,0.00030808794,0.64669955,0.3184325,0.00096610613],"about_ca_topic_score_codex":0.000075524265,"about_ca_topic_score_gemma":0.00003778017,"teacher_disagreement_score":0.10313757,"about_ca_system_score_codex":0.00003283258,"about_ca_system_score_gemma":0.000051620966,"threshold_uncertainty_score":0.6946289},"labels":[],"label_agreement":null},{"id":"W3125023065","doi":"","title":"The SL(2,C) Casson invariant for Dehn surgeries on two-bridge knots","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Dehn surgery; Mathematics; Finite type invariant; Invariant (physics); Knot (papermaking); Pure mathematics; Multiplicity (mathematics); Polynomial; Mathematical analysis; Invariant polynomial; Mathematical physics","score_opus":0.09488009817619783,"score_gpt":0.3422089300359963,"score_spread":0.24732883185979845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3125023065","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8055769,0.00017430984,0.09253566,0.04364291,0.0020385848,0.0013348395,0.00007198464,0.00039736342,0.054227408],"genre_scores_gemma":[0.96811277,0.000026876585,0.001344108,0.00032711396,0.00016505252,0.00006063954,0.0000010241524,0.000020893329,0.029941542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902576,0.00005258709,0.00023898762,0.00018661874,0.00013369626,0.00036233186],"domain_scores_gemma":[0.99300814,0.0064268424,0.00009196181,0.00034566628,0.000065832566,0.000061560175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005966642,0.00012619242,0.00019413748,0.000074495736,0.0002090409,0.00002808425,0.0001809338,0.000062010964,0.00029049447],"category_scores_gemma":[0.0025860255,0.00005453936,0.000094053066,0.00014053656,0.00010110154,0.00004650346,0.00005295926,0.000049841783,0.00015832957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042165506,0.000039864066,0.00029299932,0.000008881599,0.000030372294,0.0000034398865,0.000059872138,5.82404e-8,0.00015968019,0.9150588,0.06687176,0.017432101],"study_design_scores_gemma":[0.0015005744,0.00029862503,0.003788145,0.000032973327,0.000035987505,0.000030419638,0.00016367195,0.000021022994,0.008554822,0.79816765,0.18711974,0.00028638277],"about_ca_topic_score_codex":0.000043339034,"about_ca_topic_score_gemma":0.00016602842,"teacher_disagreement_score":0.16253582,"about_ca_system_score_codex":0.00003338777,"about_ca_system_score_gemma":0.000044200064,"threshold_uncertainty_score":0.31807107},"labels":[],"label_agreement":null},{"id":"W3125663631","doi":"10.4153/s0008439521000837","title":"Singquandle shadows and singular knot invariants","year":2021,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Invariant (physics); Shadow (psychology); Knot theory; Mathematics; Computation; Knot (papermaking); Pure mathematics; Finite type invariant; Jones polynomial; Polynomial; Algebra over a field; Invariant polynomial; Mathematical analysis; Algorithm; Mathematical physics; Matrix polynomial","score_opus":0.045278718880147936,"score_gpt":0.2733120774883642,"score_spread":0.22803335860821627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3125663631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8527075,0.0032830103,0.02170999,0.028032487,0.0012348217,0.0019694355,0.0001792074,0.00034764482,0.090535894],"genre_scores_gemma":[0.93703,0.00006287853,0.052749842,0.0018345184,0.0003333113,0.000094082934,0.00007634819,0.00015520143,0.007663787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709594,0.0001887558,0.00072525,0.00080889283,0.0003290683,0.000852065],"domain_scores_gemma":[0.996668,0.0009851835,0.00021644266,0.0009107742,0.00015304607,0.0010665993],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00073903665,0.00051504193,0.0010753218,0.00045206136,0.00019959346,0.000314689,0.00045359458,0.00083799893,0.028285222],"category_scores_gemma":[0.0054176813,0.00050983974,0.00019892576,0.00024364123,0.0002898985,0.000022324573,0.0005930774,0.0009972013,0.0013930739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000133204385,0.00040433978,0.00022568309,0.004399462,0.0005070917,0.0019004843,0.003189535,0.0000054128877,0.00003898121,0.89059407,0.09317955,0.00554206],"study_design_scores_gemma":[0.00044418627,0.000046688692,0.00014115019,0.0008156936,0.00023106561,0.00028881134,0.0007266783,0.00034695028,0.00005899351,0.9641119,0.031940494,0.0008473447],"about_ca_topic_score_codex":0.0022436767,"about_ca_topic_score_gemma":0.0019477874,"teacher_disagreement_score":0.08432252,"about_ca_system_score_codex":0.00022324894,"about_ca_system_score_gemma":0.00079961185,"threshold_uncertainty_score":0.9997353},"labels":[],"label_agreement":null},{"id":"W3127658947","doi":"10.1112/s0010437x23007455","title":"Lagrangian configurations and Hamiltonian maps","year":2023,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Courtois Foundation","keywords":"Mathematics; Lagrangian; Hamiltonian (control theory); Symplectic geometry; Pure mathematics; Hamiltonian mechanics; Disjoint sets; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.04256168120795402,"score_gpt":0.30609919300086985,"score_spread":0.26353751179291585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3127658947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80131364,0.00019740772,0.017802319,0.012211831,0.00039621533,0.001080849,0.0001107376,0.0018006461,0.16508633],"genre_scores_gemma":[0.9813677,0.000021806129,0.014042086,0.00019662379,0.00007550751,0.000052567204,0.00003716261,0.00003532759,0.004171237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989967,0.000048199596,0.00029007543,0.00020691183,0.00016604764,0.00029208986],"domain_scores_gemma":[0.99863076,0.000822425,0.00007835479,0.00030650964,0.000047319758,0.00011461493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025927913,0.00014809311,0.00027824723,0.00027104878,0.00021327328,0.00005571861,0.00014721927,0.00008126489,0.00033923145],"category_scores_gemma":[0.00023283993,0.0001317097,0.000060800347,0.00056964566,0.00014217543,0.00006620902,0.000077146324,0.000109517,0.000772498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030886797,0.00007181453,0.000054232332,0.00017490193,0.00004608446,0.000025168154,0.0010827382,5.7175777e-7,0.0015011436,0.9716494,0.024527958,0.00086290785],"study_design_scores_gemma":[0.00042268695,0.000057875735,0.0017764419,0.000063702464,0.00006174376,0.00013017737,0.00054358743,0.00061053946,0.00048619387,0.9909802,0.004646086,0.00022075718],"about_ca_topic_score_codex":0.000003575585,"about_ca_topic_score_gemma":0.000004208762,"teacher_disagreement_score":0.18005402,"about_ca_system_score_codex":0.000013905306,"about_ca_system_score_gemma":0.00001842796,"threshold_uncertainty_score":0.9929157},"labels":[],"label_agreement":null},{"id":"W3128038861","doi":"10.48550/arxiv.1911.02975","title":"Further Results and Discussions on Random Cayley Graphs","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Cayley graph; Mathematics; Combinatorics; Random graph; Abelian group; Conjecture; Simple random sample; Random walk; Discrete mathematics; Universality (dynamical systems); Graph; Statistics; Population; Physics","score_opus":0.09136874116028161,"score_gpt":0.21915442479189862,"score_spread":0.12778568363161702,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3128038861","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97072166,0.00006584838,0.0057335645,0.0006067353,0.0006988881,0.00062552677,0.00013197893,0.00015597929,0.02125983],"genre_scores_gemma":[0.9804124,0.0002296239,0.00019273082,0.000068808506,0.000052478455,9.3452843e-7,0.000023505441,0.000031527565,0.018987946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827343,0.00018944812,0.00024810332,0.00087518105,0.000084407904,0.00032942992],"domain_scores_gemma":[0.9976314,0.00090530026,0.00027965588,0.0009605404,0.00006315119,0.00015998063],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00032748535,0.00033382312,0.0005455769,0.000489881,0.000113087175,0.00002737571,0.00041004794,0.0004318349,0.00013589274],"category_scores_gemma":[0.0004084684,0.00027581703,0.00022470093,0.00040332932,0.00018238525,0.00005248427,0.0006644072,0.0006633552,0.00014358644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011857759,0.0004021465,0.0033966184,0.00026140062,0.0004359199,0.0003410066,0.0011074623,0.0052065384,0.0000092507125,0.9784044,0.008549453,0.0007000504],"study_design_scores_gemma":[0.0056722304,0.00015848271,0.0025726734,0.0002132382,0.00032179485,0.0000083336245,0.000851199,0.0030201762,0.0000245457,0.9850682,0.0014558119,0.0006333026],"about_ca_topic_score_codex":0.00009587073,"about_ca_topic_score_gemma":0.00004564666,"teacher_disagreement_score":0.009690795,"about_ca_system_score_codex":0.00005682781,"about_ca_system_score_gemma":0.00006128071,"threshold_uncertainty_score":0.9999694},"labels":[],"label_agreement":null},{"id":"W3130491998","doi":"10.1007/s00222-021-01030-8","title":"Helly meets Garside and Artin","year":2021,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":38,"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":"Narodowe Centrum Nauki; Instytut Matematyczny, Polskiej Akademii Nauk; Ministerstwo Edukacji i Nauki; McGill University; Simons Foundation","keywords":"Mathematics; Artin group; Braid group; Combinatorics; Coxeter group; Conjecture; Type (biology); Pure mathematics","score_opus":0.0690177538205377,"score_gpt":0.32828902390876136,"score_spread":0.25927127008822365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3130491998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9385166,0.0013263506,0.017748136,0.005949292,0.00030925602,0.00028079867,0.0000071556956,0.00024615292,0.035616256],"genre_scores_gemma":[0.9107456,0.00008253674,0.06891993,0.0003270789,0.000110760615,0.000036983056,0.000007439258,0.00004099647,0.019728642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998841,0.00007968852,0.00039143628,0.0002459305,0.0002004402,0.00024150388],"domain_scores_gemma":[0.99886185,0.0004892038,0.00013260622,0.00032251686,0.00009477343,0.000099025914],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000343964,0.00013950282,0.00030311703,0.00010997329,0.0001001236,0.000043691332,0.00009310501,0.00008558185,0.001433317],"category_scores_gemma":[0.00136433,0.00012633989,0.00009672128,0.00031830638,0.00010019249,0.000075315904,0.00011916353,0.00009986558,0.0002340067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000024947612,0.00021747792,0.0001877393,0.00030610338,0.000056699406,0.000053000873,0.00041241452,1.7074665e-7,0.0010042795,0.9921728,0.0034496412,0.0021372198],"study_design_scores_gemma":[0.00032644512,0.000022425336,0.00042949631,0.00008836774,0.00006220853,0.0002775922,0.00046570276,0.00009441511,0.0047327485,0.98930925,0.0040431083,0.00014822971],"about_ca_topic_score_codex":0.000001983033,"about_ca_topic_score_gemma":0.0000112829075,"teacher_disagreement_score":0.051171795,"about_ca_system_score_codex":0.000013413435,"about_ca_system_score_gemma":0.000032941123,"threshold_uncertainty_score":0.99947953},"labels":[],"label_agreement":null},{"id":"W3131711195","doi":"10.82308/17814","title":"Cubical dimension and obstructions to actions on CAT(0) cube complexes","year":2018,"lang":"en","type":"article","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"McGill University","keywords":"Dimension (graph theory); Cube (algebra); Mathematics; Combinatorics; Computer science","score_opus":0.06115241490457053,"score_gpt":0.3071560664388824,"score_spread":0.24600365153431186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131711195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97279394,0.000012302855,0.0000113670485,0.00038851518,0.0008061336,0.00036369098,0.00017846795,0.0002760367,0.025169557],"genre_scores_gemma":[0.98715365,0.000012984429,0.009926081,0.00074308313,0.00011902574,0.00003952805,0.00000989778,0.00006305414,0.0019327222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99768037,0.00019010533,0.00046920613,0.0006843296,0.00038365205,0.0005923282],"domain_scores_gemma":[0.9977448,0.0007867806,0.00013765921,0.00063294696,0.0002189096,0.00047891968],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00039854465,0.0003469674,0.00043185343,0.00049631664,0.0015790618,0.00004379851,0.00026797364,0.0002685972,0.00057340396],"category_scores_gemma":[0.0019980883,0.00032482395,0.00011770229,0.0008778241,0.0002759493,0.0002462018,0.0002898859,0.00048170175,0.00084161095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054409105,0.00023552506,0.00010129978,0.00002359782,0.00006705793,0.000011474563,0.000015181591,0.0000026983396,0.023088366,0.94431406,0.00018238556,0.03190396],"study_design_scores_gemma":[0.0014065941,0.0013409493,0.008001154,0.000119995675,0.0001874626,0.000379628,0.00048332187,0.00005248875,0.06663705,0.70313025,0.2172302,0.0010309087],"about_ca_topic_score_codex":0.00013729141,"about_ca_topic_score_gemma":0.00029088615,"teacher_disagreement_score":0.24118379,"about_ca_system_score_codex":0.00023117213,"about_ca_system_score_gemma":0.000016019994,"threshold_uncertainty_score":0.99993634},"labels":[],"label_agreement":null},{"id":"W3134306309","doi":"10.17762/msea.v70i2.19","title":"Non-Trivial, Left-Covariant, Continuously Closed Paths over Lines","year":2021,"lang":"en","type":"article","venue":"Mathematical Statistician and Engineering Applications","topic":"Geometric and Algebraic Topology","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; Abelian group; Subring; Covariant transformation; Pure mathematics; Meromorphic function; Jacobian matrix and determinant; Pontryagin's minimum principle; Path (computing); Discrete mathematics; Geometry; Computer science; Ring (chemistry)","score_opus":0.015262532101630928,"score_gpt":0.2691581911867392,"score_spread":0.2538956590851083,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134306309","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02774833,0.00013228107,0.9688166,0.00035848495,0.00007029182,0.00033956603,0.0000845575,0.00017400463,0.002275928],"genre_scores_gemma":[0.6973597,0.000058606885,0.29995784,0.00018209066,0.00027877116,0.00020683226,0.000047641966,0.000073630516,0.0018348962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873406,0.000015847372,0.0004299767,0.0003102084,0.0001736655,0.00033622616],"domain_scores_gemma":[0.99821514,0.0011038026,0.00007624258,0.00034177303,0.000090241985,0.00017277616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017574675,0.00020935108,0.0004064557,0.00009910451,0.00011527218,0.00007335655,0.00012198365,0.0001181761,0.00047410463],"category_scores_gemma":[0.000822028,0.00019724986,0.0000598227,0.00032962888,0.000072253235,0.000042040414,0.00007598836,0.00018549846,0.00008860982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000021722271,0.00019792294,0.00012127585,0.00040701203,0.00006205291,0.000025510339,0.00023725974,0.000011646473,0.001094752,0.9918043,0.002360536,0.0036755654],"study_design_scores_gemma":[0.0010722916,0.00006148978,0.0068838852,0.00013625056,0.00023615056,0.00020936836,0.00027102255,0.019194439,0.0008208202,0.9472068,0.023203239,0.0007042581],"about_ca_topic_score_codex":0.0000056866356,"about_ca_topic_score_gemma":0.0000050490275,"teacher_disagreement_score":0.66961133,"about_ca_system_score_codex":0.000022837983,"about_ca_system_score_gemma":0.00003734945,"threshold_uncertainty_score":0.8043616},"labels":[],"label_agreement":null},{"id":"W3135475550","doi":"10.1007/s10711-021-00617-y","title":"Nielsen equivalence and trisections","year":2021,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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; Isotopy; Diffeomorphism; Pure mathematics; Mapping class group; Fundamental group; Equivalence (formal languages); Group (periodic table); Genus; Algebraic geometry; Fibered knot; Combinatorics; Surface (topology); Geometry","score_opus":0.0784257389462832,"score_gpt":0.3441181854290411,"score_spread":0.2656924464827579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3135475550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93117213,0.0062570046,0.027936237,0.005877917,0.0012340759,0.0003043527,0.000092711314,0.00027133987,0.02685421],"genre_scores_gemma":[0.98422086,0.0006649344,0.008248503,0.00032085733,0.00030841702,0.000018999974,0.00003557033,0.000022251506,0.006159619],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986346,0.000073839554,0.0002996941,0.00037827098,0.00026806988,0.0003455531],"domain_scores_gemma":[0.9978399,0.0012587354,0.00009858481,0.00050977396,0.00010295223,0.00019004563],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00050702406,0.00013443384,0.00028891474,0.0005284966,0.00015667974,0.000038520706,0.00020145376,0.0001339271,0.0021286693],"category_scores_gemma":[0.007147218,0.00012614237,0.00007132932,0.0025542092,0.00014144072,0.000088425884,0.0002672576,0.00022185018,0.00008656691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007110638,0.0014295669,0.03468203,0.0005905994,0.0007475889,0.00070026214,0.0011143157,0.0000019399108,0.0030457696,0.42108008,0.31503475,0.22150199],"study_design_scores_gemma":[0.0049487757,0.00035170763,0.043285996,0.00010742755,0.00047487227,0.0018675571,0.0021172354,0.00009462354,0.009936646,0.71529424,0.22039856,0.0011223665],"about_ca_topic_score_codex":0.000020270067,"about_ca_topic_score_gemma":0.000011637295,"teacher_disagreement_score":0.29421413,"about_ca_system_score_codex":0.00002318492,"about_ca_system_score_gemma":0.0000976447,"threshold_uncertainty_score":0.9987835},"labels":[],"label_agreement":null},{"id":"W3139343486","doi":"10.1090/bproc/81","title":"A note on finiteness properties of graphs of groups","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Biology","score_opus":0.023886404484559552,"score_gpt":0.25304388907682257,"score_spread":0.229157484592263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3139343486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99325705,0.00034746045,0.00016039005,0.0029978545,0.00011583918,0.0004266178,0.000048452926,0.00003495522,0.002611412],"genre_scores_gemma":[0.9816881,0.00035192634,0.016530063,0.00024506488,0.000051565956,0.000027298436,8.463754e-7,0.00006164024,0.0010435061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966719,0.000047311136,0.0013881347,0.00043902404,0.0009195303,0.00053408905],"domain_scores_gemma":[0.995317,0.00071140437,0.0023107654,0.0004786865,0.0010672814,0.00011489492],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.00064712815,0.00044292517,0.0018754946,0.00008821415,0.00014625258,0.00003032224,0.0008704026,0.00018896296,0.00013728454],"category_scores_gemma":[0.0036612174,0.00029918816,0.0012278258,0.00242558,0.004214642,0.0001576869,0.00071323296,0.00044170333,0.000009000388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033917624,0.0024609135,0.0015309004,0.01890901,0.0010388358,0.000001283733,0.021707242,0.000004019027,0.10636002,0.84497404,0.0016302365,0.0010443395],"study_design_scores_gemma":[0.0006042421,0.0009608744,0.0011133195,0.0022278153,0.0006417151,0.000053818843,0.044773754,0.0002026218,0.42411578,0.5247349,0.00013248762,0.00043866987],"about_ca_topic_score_codex":0.000026272886,"about_ca_topic_score_gemma":0.0000010114501,"teacher_disagreement_score":0.3202391,"about_ca_system_score_codex":0.00005212682,"about_ca_system_score_gemma":0.00017735826,"threshold_uncertainty_score":0.999946},"labels":[],"label_agreement":null},{"id":"W3142122693","doi":"","title":"Iwasawa Theory of Fine Selmer Groups","year":2020,"lang":"en","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Mitacs; University of Toronto","keywords":"Mathematics education; Mathematics; Psychology; Pure mathematics","score_opus":0.04170592734821801,"score_gpt":0.3485592388079361,"score_spread":0.3068533114597181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3142122693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70316577,0.0018952986,0.0027219087,0.00095590815,0.0013621777,0.0005619463,0.000020983323,0.00022846066,0.28908753],"genre_scores_gemma":[0.78650063,0.000058762584,0.0043686423,0.000093954564,0.0002806571,0.000022897757,0.00028874713,0.0000950877,0.20829059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990077,0.00007465677,0.00028802102,0.00023298095,0.00021221838,0.0001844201],"domain_scores_gemma":[0.99869627,0.00055249356,0.00033332146,0.00027811556,0.00007715236,0.000062651554],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00019094572,0.0002093492,0.00051320135,0.00016818118,0.000029678375,0.0000056256504,0.00022257131,0.00028019425,0.0024532191],"category_scores_gemma":[0.00091497327,0.00018604717,0.00014102634,0.0003740984,0.000038150196,0.000017449343,0.000029105673,0.00029598858,0.00013026156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014901842,0.00012561944,0.00005454419,0.0011843296,0.00023696842,0.000018585602,0.016084464,3.989122e-7,0.0009121113,0.9513849,0.024441008,0.005408025],"study_design_scores_gemma":[0.0010001488,0.00033671258,0.0015845913,0.00023939392,0.0005794966,0.0000115101775,0.028387425,0.000019944982,0.01759855,0.93308765,0.016433133,0.0007214679],"about_ca_topic_score_codex":0.000017760958,"about_ca_topic_score_gemma":0.000033804743,"teacher_disagreement_score":0.08333489,"about_ca_system_score_codex":0.000014553014,"about_ca_system_score_gemma":0.00006893823,"threshold_uncertainty_score":0.9984587},"labels":[],"label_agreement":null},{"id":"W3148521272","doi":"10.1093/imrn/rnaf311","title":"Reducing the Conjugacy Problem for Relatively Hyperbolic Automorphisms to Peripheral Components","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Automorphism; Conjugacy class; Mathematics; Pure mathematics","score_opus":0.1900477981425352,"score_gpt":0.4585572914814428,"score_spread":0.2685094933389076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3148521272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75926554,0.00018842531,0.07769907,0.065504014,0.0014746544,0.004159449,0.00009299917,0.0002254467,0.091390416],"genre_scores_gemma":[0.8687898,0.000009264809,0.10756055,0.00030916894,0.0001959637,0.0004702882,0.0000105563,0.000033044427,0.022621356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99748933,0.0001701123,0.0006003083,0.00035943097,0.00086545513,0.00051537104],"domain_scores_gemma":[0.9917606,0.006730642,0.00016685968,0.00039641347,0.0008468168,0.00009864726],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002745215,0.00018316801,0.0003117411,0.0006353683,0.0004400053,0.00023065152,0.0012064148,0.00009798403,0.00028774963],"category_scores_gemma":[0.006757473,0.0001290542,0.00011843586,0.0007130061,0.00027402962,0.00014736487,0.00043139042,0.00040448396,0.0000916474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005652947,0.000373254,0.00012955,0.00023590203,0.00025917386,0.0000036674335,0.0032855796,0.00015211545,0.0010884497,0.97182745,0.020705352,0.0018829816],"study_design_scores_gemma":[0.00084067293,0.0001468351,0.0007993712,0.00039916375,0.00003950837,0.000010325516,0.0020029808,0.019776536,0.0009337677,0.9354649,0.039385226,0.00020069008],"about_ca_topic_score_codex":0.00007964918,"about_ca_topic_score_gemma":0.000022003002,"teacher_disagreement_score":0.10952428,"about_ca_system_score_codex":0.00021824594,"about_ca_system_score_gemma":0.0001447264,"threshold_uncertainty_score":0.8089814},"labels":[],"label_agreement":null},{"id":"W3149357172","doi":"10.1142/s0218216523500876","title":"An invariant of virtual trivalent spatial graphs","year":2023,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Academy of Finland; Elon University","keywords":"USable; Invariant (physics); Mathematics; Combinatorics; Discrete mathematics; Pure mathematics; Theoretical computer science; Algebra over a field; Computer science; World Wide Web","score_opus":0.04377345954797321,"score_gpt":0.32418179193031516,"score_spread":0.280408332382342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3149357172","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9843676,0.00018873597,0.014341252,0.00050783827,0.00021396039,0.00009208587,0.000014924825,0.000018940571,0.00025465383],"genre_scores_gemma":[0.99885637,0.00025345277,0.0003333254,0.000025359004,0.00008890065,0.0000020910686,0.0000025041006,0.00000909388,0.0004288844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988359,0.00028992054,0.0005040844,0.00008759689,0.00016235745,0.00012014333],"domain_scores_gemma":[0.9980221,0.0011308468,0.0004042022,0.00016799929,0.00017551206,0.000099385674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001746218,0.00007842177,0.00024181372,0.00046995457,0.00009294748,0.000011442347,0.00019504424,0.000066226996,0.00014672964],"category_scores_gemma":[0.0014641299,0.000060360362,0.000085407766,0.0005263715,0.00009498681,0.00012022494,0.000023903383,0.0001522816,0.000009435365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006866854,0.00020548336,0.00012460008,0.00002493961,0.000060879505,0.0000049597948,0.0010684669,0.000011841283,0.0041486747,0.98913187,0.00036350515,0.004786085],"study_design_scores_gemma":[0.0007473473,0.00063554134,0.013063523,0.000039311024,0.00013778712,0.00008600804,0.0026927632,0.00027067665,0.002599577,0.9790873,0.0005322583,0.00010792405],"about_ca_topic_score_codex":0.0000014644695,"about_ca_topic_score_gemma":0.0000013124144,"teacher_disagreement_score":0.014488781,"about_ca_system_score_codex":0.0000076324795,"about_ca_system_score_gemma":0.00006560483,"threshold_uncertainty_score":0.24614242},"labels":[],"label_agreement":null},{"id":"W3155677913","doi":"10.1090/jams/982","title":"The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds","year":2021,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"National Science Foundation","keywords":"Mathematics; Spectrum (functional analysis); Pure mathematics; Mathematical analysis; Quantum mechanics; Physics","score_opus":0.02076267337768117,"score_gpt":0.27829150947380055,"score_spread":0.2575288360961194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3155677913","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87368363,0.0013374982,0.04317339,0.07863214,0.00025194377,0.00031680023,0.0000061912488,0.000018799476,0.0025796117],"genre_scores_gemma":[0.9884786,0.0003784216,0.009576044,0.0006814453,0.00019334801,0.000004692133,1.0674456e-7,0.000020800117,0.0006665368],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809444,0.00027783838,0.00072519266,0.00010996933,0.00052394153,0.00026863985],"domain_scores_gemma":[0.9912173,0.006916077,0.0011277917,0.00048924226,0.00017353715,0.00007601703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017315611,0.00014880879,0.00062086975,0.000020715204,0.00035884095,0.00004932275,0.0005634003,0.000047342222,0.00005926655],"category_scores_gemma":[0.003306379,0.0000602457,0.00066279114,0.0006606532,0.0016921595,0.00004876894,0.00027258892,0.00044763408,0.00000464253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038873593,0.00022057463,0.00051512383,0.00007052309,0.0007354883,0.000003838371,0.0022397446,0.000009345472,0.00016546366,0.98893344,0.0043806164,0.002686947],"study_design_scores_gemma":[0.00070781965,0.00007817064,0.002579494,0.000041727726,0.00030035654,0.00029461985,0.0048963795,0.0011641807,0.0002233421,0.9890049,0.000619907,0.00008907643],"about_ca_topic_score_codex":0.000013394865,"about_ca_topic_score_gemma":0.000016610067,"teacher_disagreement_score":0.11479498,"about_ca_system_score_codex":0.000040217114,"about_ca_system_score_gemma":0.00011882831,"threshold_uncertainty_score":0.6234832},"labels":[],"label_agreement":null},{"id":"W3159083134","doi":"10.1017/fms.2021.34","title":"Unicorn paths and hyperfiniteness for the mapping class group","year":2021,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Narodowym Centrum Nauki","keywords":"Unicorn; Mapping class group; Graph; Class (philosophy); Equivalence (formal languages); Equivalence class (music); Equivalence relation; Group (periodic table)","score_opus":0.053037083254752086,"score_gpt":0.2782907649002705,"score_spread":0.2252536816455184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3159083134","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4618949,0.0025136443,0.5249607,0.0050350633,0.0005493435,0.0010007641,0.00008513611,0.00010645077,0.0038540137],"genre_scores_gemma":[0.9002862,0.00013008185,0.09774881,0.00022757695,0.000078191144,0.00007540283,0.000009313006,0.00004870498,0.0013957123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998726,0.000038908132,0.0004874827,0.00021585259,0.0002032851,0.00032845192],"domain_scores_gemma":[0.9943274,0.004684215,0.00026209065,0.0005077172,0.00016300425,0.000055536424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061315665,0.00017105434,0.0004361298,0.00009745063,0.00016461342,0.000028968669,0.00024513187,0.00012218594,0.000081021084],"category_scores_gemma":[0.0018752903,0.00011976236,0.00013783204,0.00035452584,0.00014518836,0.00005162401,0.00020304792,0.000119538876,0.0000043419113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065649565,0.00028365586,0.0004421344,0.00095687114,0.00013821923,0.0000059679155,0.0013951728,0.000004136136,0.00092645036,0.9879417,0.0021251375,0.005774021],"study_design_scores_gemma":[0.0009578637,0.00011928641,0.00026779473,0.0001467191,0.00015476682,0.00011005798,0.01889242,0.004773108,0.0022781158,0.96076053,0.011297037,0.00024229023],"about_ca_topic_score_codex":0.0000052922624,"about_ca_topic_score_gemma":0.000021102793,"teacher_disagreement_score":0.43839133,"about_ca_system_score_codex":0.000013768164,"about_ca_system_score_gemma":0.000045752477,"threshold_uncertainty_score":0.48837674},"labels":[],"label_agreement":null},{"id":"W3161574678","doi":"10.1112/s0010437x24007152","title":"Thin links and Conway spheres","year":2024,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"SPHERES; Physics; Astronomy","score_opus":0.034235177629529635,"score_gpt":0.3129067570849368,"score_spread":0.27867157945540716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161574678","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68721384,0.007687275,0.12119673,0.007143038,0.0009765016,0.0010835581,0.00003970583,0.0017818852,0.17287748],"genre_scores_gemma":[0.96505755,0.000027594855,0.031353913,0.00020005964,0.00013709796,0.000027560234,0.0000037266173,0.0000380576,0.0031544406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900615,0.000045011562,0.0003011146,0.0002511144,0.00016283481,0.00023375246],"domain_scores_gemma":[0.9982376,0.0013369487,0.000043013606,0.00025873064,0.00002921083,0.0000944828],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022414715,0.00016836013,0.00030054728,0.00012707297,0.000091608636,0.00013115483,0.00014657316,0.00016400473,0.0013728727],"category_scores_gemma":[0.00017254108,0.00013268345,0.00007284619,0.0002366723,0.0001493609,0.00008286145,0.00009942368,0.00030471393,0.00037596267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033444096,0.00006837675,0.000020949929,0.0007274193,0.000075252894,0.000052377723,0.00093092263,4.4102273e-7,0.00045797575,0.97638565,0.019334465,0.0019428167],"study_design_scores_gemma":[0.00016870677,0.0000688922,0.00003481668,0.00025511553,0.000083154235,0.00028671918,0.0003207236,0.0038373163,0.00073005253,0.9894957,0.0045311474,0.00018764741],"about_ca_topic_score_codex":0.0000027270123,"about_ca_topic_score_gemma":0.0000020942753,"teacher_disagreement_score":0.2778437,"about_ca_system_score_codex":0.000018213721,"about_ca_system_score_gemma":0.00002652344,"threshold_uncertainty_score":0.99954003},"labels":[],"label_agreement":null},{"id":"W3161931768","doi":"10.24033/asens.2540","title":"Torsion classes in the equivariant Chow groups of algebraic tori","year":2023,"lang":"fr","type":"article","venue":"Annales Scientifiques de l École Normale Supérieure","topic":"Geometric and Algebraic Topology","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":"Université Paris-Sud; Mitacs","keywords":"Mathematics; Equivariant map; Algebraic cycle; Torus; Pure mathematics; Algebraic number; Torsion (gastropod); Algebraic group; Combinatorics; Algebra over a field; Geometry; Mathematical analysis","score_opus":0.055274929128676084,"score_gpt":0.31879873787460344,"score_spread":0.26352380874592735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161931768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975461,0.0048082056,0.00079746044,0.0104063265,0.0026441084,0.00073128304,0.00015352867,0.00012917086,0.004868932],"genre_scores_gemma":[0.95827365,0.0010815846,0.0010108809,0.00093854254,0.00039509783,0.00006717078,0.00009307587,0.000051213043,0.03808878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99540806,0.0008856564,0.00092641014,0.00063896633,0.0008104986,0.0013304047],"domain_scores_gemma":[0.99684435,0.0013529193,0.00038022778,0.00092581095,0.00029957065,0.0001971359],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0041578976,0.00040457252,0.0006228138,0.0009019556,0.0003012475,0.00019419965,0.0012526008,0.00047168217,0.0007948089],"category_scores_gemma":[0.0013770504,0.0003342132,0.00033454783,0.005031346,0.0008531425,0.0005479597,0.00045533452,0.0006534168,0.00040162058],"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":[0.000113556176,0.0017870831,0.05850738,0.0032021014,0.00018349722,0.0018486048,0.03962561,0.0004936407,0.0020102488,0.5361107,0.34826759,0.007849981],"study_design_scores_gemma":[0.0028130894,0.0017000468,0.20319858,0.0024668216,0.00047313992,0.0017688763,0.0395305,0.0110493535,0.009331155,0.26103365,0.4646519,0.001982843],"about_ca_topic_score_codex":0.00043385464,"about_ca_topic_score_gemma":0.0012163317,"teacher_disagreement_score":0.27507704,"about_ca_system_score_codex":0.000112124,"about_ca_system_score_gemma":0.00033863628,"threshold_uncertainty_score":0.999911},"labels":[],"label_agreement":null},{"id":"W3161988627","doi":"10.1112/blms.70009","title":"On Torelli groups and Dehn twists of smooth 4‐manifolds","year":2025,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Dehn surgery; Mathematics; Pure mathematics; Group (periodic table); Combinatorics; Topology (electrical circuits); Physics; Knot (papermaking); Materials science; Composite material","score_opus":0.01400323248429417,"score_gpt":0.2636175911917749,"score_spread":0.24961435870748075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161988627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94928277,0.00042250377,0.013713239,0.009708914,0.00022055794,0.000682115,0.00001474576,0.000066966866,0.0258882],"genre_scores_gemma":[0.96749145,0.000053236086,0.02468604,0.0007043095,0.000027671864,0.00001523206,5.779206e-7,0.000021163356,0.007000343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986675,0.00008493317,0.00050985813,0.00021272735,0.00029564544,0.0002293476],"domain_scores_gemma":[0.9968547,0.0023090863,0.00023835615,0.00048679078,0.00006357303,0.000047447647],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006030646,0.00017556046,0.00049679,0.000037933583,0.00006764382,0.000009325387,0.00036360376,0.00017861089,0.0006908519],"category_scores_gemma":[0.0012546385,0.000112535956,0.0003420734,0.00026883255,0.00042581407,0.000006507889,0.00027240277,0.00020300788,0.00002005504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017486447,0.00026984522,0.00019726041,0.0010019535,0.000094348434,3.9615787e-7,0.00042440963,0.0000016821516,0.00009345581,0.9462774,0.051119514,0.00050225627],"study_design_scores_gemma":[0.0006536783,0.000087574655,0.00064820884,0.00023726917,0.000115245646,0.0000040323694,0.00026007253,0.000083410545,0.0020027529,0.9893832,0.006411236,0.00011327641],"about_ca_topic_score_codex":0.000012310731,"about_ca_topic_score_gemma":7.169886e-7,"teacher_disagreement_score":0.044708278,"about_ca_system_score_codex":0.000027843373,"about_ca_system_score_gemma":0.000024170284,"threshold_uncertainty_score":0.7564343},"labels":[],"label_agreement":null},{"id":"W3166546306","doi":"10.1090/btran/180","title":"Cubulating random quotients of hyperbolic cubulated groups","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society Series B","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Quotient; Mathematics; Pure mathematics","score_opus":0.0189489178606657,"score_gpt":0.28103909323106163,"score_spread":0.2620901753703959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3166546306","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83538,0.00014031943,0.16171625,0.0011597454,0.00022045813,0.00034533953,0.00003805888,0.00015605157,0.0008437465],"genre_scores_gemma":[0.97517496,0.000046342815,0.023821913,0.00004128149,0.000028002054,0.00001807149,0.0000011595987,0.000035591456,0.00083265133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984416,0.00009171608,0.00063976145,0.00020600537,0.00034908298,0.00027183266],"domain_scores_gemma":[0.9980754,0.0010942448,0.00025879813,0.00043809955,0.00007257923,0.000060867347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003342064,0.00019274415,0.0006614808,0.0000650944,0.00013213127,0.000016685346,0.00033326398,0.00006938913,0.00046760388],"category_scores_gemma":[0.00020636187,0.00012804079,0.00071877736,0.0013733077,0.0011366736,0.00011829184,0.000033398403,0.00026839526,0.000013221126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005839371,0.0034098243,0.0011009168,0.012004134,0.0062987455,0.000009350841,0.05028401,0.0013036723,0.03071223,0.8497501,0.005730331,0.038812757],"study_design_scores_gemma":[0.0012895376,0.00051935454,0.00091507507,0.0006600154,0.0011121879,0.0001496944,0.011873312,0.011375274,0.01423241,0.95660233,0.0007201288,0.0005506899],"about_ca_topic_score_codex":0.0000572387,"about_ca_topic_score_gemma":0.0000027450417,"teacher_disagreement_score":0.13979496,"about_ca_system_score_codex":0.000036136807,"about_ca_system_score_gemma":0.000049916067,"threshold_uncertainty_score":0.5221352},"labels":[],"label_agreement":null},{"id":"W3173463688","doi":"10.1142/s0129167x22500781","title":"The Gordon–Litherland pairing for links in thickened surfaces","year":2022,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pairing; Mathematics; Checkerboard; Combinatorics; Duality (order theory); Homology (biology); Pure mathematics; Invariant (physics); Equivalence (formal languages); Geometry","score_opus":0.04493695377926147,"score_gpt":0.333266542490649,"score_spread":0.28832958871138753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3173463688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97101283,0.00052088645,0.01615891,0.009501468,0.0017412008,0.00026426069,0.000020956366,0.000016262202,0.0007632325],"genre_scores_gemma":[0.9785886,0.000046863148,0.02024688,0.00012625939,0.00020337176,0.000019891462,0.0000011944279,0.000020003741,0.0007469696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983846,0.000080288984,0.0007176171,0.00007554801,0.000574457,0.00016747296],"domain_scores_gemma":[0.9954451,0.0034957966,0.00064787985,0.000122865,0.00025544193,0.0000329542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024266685,0.000093836185,0.0002264263,0.00021461463,0.00014201671,0.000049397055,0.0007558949,0.00005245568,0.00009975717],"category_scores_gemma":[0.0018044881,0.00006386696,0.0001415482,0.00015005471,0.000047145357,0.00006394533,0.00014109524,0.00043969706,0.000002038645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045124287,0.002113147,0.008170711,0.00020788003,0.0012524306,0.0002610986,0.015739894,0.0033987786,0.0005203103,0.92462116,0.02422355,0.019039813],"study_design_scores_gemma":[0.001581168,0.00023643907,0.0003645843,0.000059025544,0.00003537603,0.0005552001,0.007191536,0.0037854437,0.00022378631,0.957782,0.02804929,0.00013619287],"about_ca_topic_score_codex":0.0000034863456,"about_ca_topic_score_gemma":0.0000202844,"teacher_disagreement_score":0.033160813,"about_ca_system_score_codex":0.00011716877,"about_ca_system_score_gemma":0.000084057276,"threshold_uncertainty_score":0.2604419},"labels":[],"label_agreement":null},{"id":"W3174149568","doi":"10.4153/s0008439524000420","title":"Counting homomorphisms from surface groups to finite groups","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Homomorphism; Mathematics; Surface (topology); Group (periodic table); Pure mathematics; Algebra over a field; Physics; Geometry","score_opus":0.026601990675117176,"score_gpt":0.25806153024181394,"score_spread":0.23145953956669676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3174149568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8779771,0.00075195875,0.050177608,0.028656293,0.00096584146,0.0008094503,0.00035336963,0.000573763,0.039734613],"genre_scores_gemma":[0.9742904,0.0000065224554,0.016528381,0.001960684,0.0003636422,0.00003369361,0.000028102688,0.00010199197,0.0066866204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975127,0.00008308314,0.00057295925,0.00058060524,0.00035893513,0.00089173426],"domain_scores_gemma":[0.9949899,0.0033553767,0.00005374061,0.0005389335,0.00007037359,0.0009917141],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006961084,0.00033771768,0.00053735106,0.00036532088,0.00017326722,0.00023747637,0.00045417572,0.00024918618,0.046143327],"category_scores_gemma":[0.0025949776,0.00031110368,0.00016176852,0.00075890165,0.00012712853,0.000044931887,0.00010234809,0.00042778254,0.05309256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000044655994,0.000044670705,0.000041735522,0.00021737033,0.0000855426,0.00046930066,0.0009385699,0.000011201387,0.00005020915,0.8575681,0.13954653,0.0010223452],"study_design_scores_gemma":[0.00018347969,0.000056126755,0.00007912825,0.00030584726,0.00008387717,0.000050066174,0.00046769562,0.0009647115,0.00007941615,0.8344688,0.16278818,0.00047271553],"about_ca_topic_score_codex":0.0018748424,"about_ca_topic_score_gemma":0.0014213435,"teacher_disagreement_score":0.09631326,"about_ca_system_score_codex":0.00025398293,"about_ca_system_score_gemma":0.00021394159,"threshold_uncertainty_score":0.9999341},"labels":[],"label_agreement":null},{"id":"W3177348076","doi":"10.1080/00927872.2021.1983581","title":"A note on hyperbolically embedded subgroups","year":2021,"lang":"en","type":"preprint","venue":"Communications in Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland","keywords":"Mathematics; Group (periodic table); Normal subgroup; Pure mathematics; Combinatorics; Physics","score_opus":0.09204624254757328,"score_gpt":0.37577557347242546,"score_spread":0.2837293309248522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3177348076","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8687416,0.005374436,0.008166331,0.019202486,0.001338535,0.0018116406,0.000077117176,0.00065210206,0.094635785],"genre_scores_gemma":[0.9090008,0.0011823125,0.087752774,0.00073314604,0.00008848976,0.00032296308,0.00021631135,0.00007029235,0.0006329178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99712926,0.00064501306,0.0008725898,0.0006065677,0.0003151365,0.0004314497],"domain_scores_gemma":[0.98955107,0.002680785,0.00035172992,0.0071198293,0.00017988139,0.00011670192],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.00071681343,0.0003979666,0.00081019534,0.0006528611,0.00016517108,0.00011068065,0.0031615528,0.00069519604,0.00036623442],"category_scores_gemma":[0.0030727065,0.00041917476,0.00026715084,0.0008896921,0.00034036767,0.000052434487,0.0046075536,0.0023995165,0.00013905158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023596005,0.002153027,0.00096323574,0.00025597363,0.00014886002,0.000039103157,0.0038224945,0.00004643722,0.00007219163,0.96964425,0.0035077094,0.019323137],"study_design_scores_gemma":[0.000961865,0.00007760291,0.006478461,0.0007005648,0.00012158479,0.000034439265,0.0008382478,0.0014324287,0.00021602571,0.98119694,0.0070414366,0.00090040365],"about_ca_topic_score_codex":0.000082221115,"about_ca_topic_score_gemma":0.0004344414,"teacher_disagreement_score":0.09400287,"about_ca_system_score_codex":0.00022788173,"about_ca_system_score_gemma":0.00033360528,"threshold_uncertainty_score":0.999902},"labels":[],"label_agreement":null},{"id":"W3183351522","doi":"10.1307/mmj/20216121","title":"Bowditch Taut Spectrum and Dimensions of Groups","year":2023,"lang":"en","type":"article","venue":"The Michigan Mathematical Journal","topic":"Geometric and Algebraic Topology","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; Counterexample; Finitely-generated abelian group; Quotient; Conjecture; Group (periodic table); Combinatorics; Pure mathematics; Spectrum (functional analysis); Finitely generated group; Product (mathematics); Discrete mathematics; Geometry","score_opus":0.03523477316643607,"score_gpt":0.2963169461885184,"score_spread":0.2610821730220823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3183351522","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9890007,0.000109409724,0.003594079,0.0053381254,0.00016356878,0.00014234777,0.0000042200145,0.00006864864,0.0015789128],"genre_scores_gemma":[0.9939633,0.00012936509,0.0037430783,0.00009339688,0.0001945378,0.0000033438023,6.6456045e-7,0.000028758675,0.0018435773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985481,0.00011926448,0.00052379264,0.00012704797,0.00032005226,0.00036176335],"domain_scores_gemma":[0.9976169,0.0016917463,0.00021832802,0.00029002797,0.000038630187,0.00014438643],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012847943,0.00014948686,0.00038711142,0.00021543918,0.00023374877,0.000033369848,0.0002950023,0.00007550476,0.0004951817],"category_scores_gemma":[0.0009934857,0.00007575594,0.000120074925,0.0005523145,0.0002905695,0.000049559985,0.00018494875,0.00040221665,0.0002292875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017975057,0.00016361344,0.00016023006,0.00014013259,0.0001542295,0.00005566479,0.0039901026,0.0000027757633,0.0017702902,0.9836823,0.00916658,0.00069611217],"study_design_scores_gemma":[0.00031340471,0.000081307,0.0005560563,0.00006287314,0.00008497362,0.0010814032,0.0011404128,0.00044659112,0.000647232,0.99523306,0.0002532625,0.000099395176],"about_ca_topic_score_codex":0.0000010559004,"about_ca_topic_score_gemma":0.0000022183258,"teacher_disagreement_score":0.011550794,"about_ca_system_score_codex":0.000007776879,"about_ca_system_score_gemma":0.000029867964,"threshold_uncertainty_score":0.54218924},"labels":[],"label_agreement":null},{"id":"W3183416297","doi":"10.5821/dissertation-2117-349573","title":"The geometry and topology of steady Euler flows, integrability and singular geometric structures","year":2021,"lang":"en","type":"dissertation","venue":"","topic":"Geometric and Algebraic Topology","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":"Connaught Fund","keywords":"Symplectic geometry; Mathematics; Integrable system; Euler's formula; Symplectomorphism; Gravitational singularity; Pure mathematics; Context (archaeology); Geometry and topology; Moment map; Topology (electrical circuits); Geometry; Mathematical analysis","score_opus":0.019634314075724395,"score_gpt":0.29673153982980194,"score_spread":0.2770972257540775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3183416297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98236585,0.011550397,0.00025948437,0.0001402049,0.000918188,0.00027421018,0.000016757938,0.000032295797,0.0044425954],"genre_scores_gemma":[0.9804995,0.0011195344,0.0041796453,0.000034004475,0.000095466916,0.000014791905,0.00012485767,0.000043359625,0.013888837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99800694,0.00018575459,0.00066619756,0.00050268526,0.00029330055,0.000345114],"domain_scores_gemma":[0.99491495,0.003794318,0.00037145105,0.00052701903,0.00030032938,0.000091962516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065284537,0.00034030603,0.0008315258,0.0007195352,0.00019660476,0.000054468128,0.00024188301,0.00058869866,0.0007553271],"category_scores_gemma":[0.0066598495,0.00021881169,0.00011946902,0.0011627503,0.00030960044,0.000040534644,0.00012781961,0.00052462606,0.0000016297295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017663173,0.00028000766,0.010113261,0.002912587,0.001119999,0.00002800887,0.0021694328,4.7364492e-7,0.000459825,0.7488439,0.004203157,0.2296927],"study_design_scores_gemma":[0.001134404,0.00043154962,0.09280673,0.00010954252,0.0006809033,0.00013292655,0.024710316,0.000046634766,0.004217081,0.86980253,0.0050552636,0.00087214186],"about_ca_topic_score_codex":0.0002789877,"about_ca_topic_score_gemma":0.0007409664,"teacher_disagreement_score":0.22882056,"about_ca_system_score_codex":0.000029206753,"about_ca_system_score_gemma":0.00011954923,"threshold_uncertainty_score":0.8922882},"labels":[],"label_agreement":null},{"id":"W3183438183","doi":"10.70930/tac/w2azxuos","title":"Locally anisotropic toposes II","year":2021,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Geometric and Algebraic Topology","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":"Topos theory; Mathematics; Computer science; Pure mathematics; Art","score_opus":0.014520152437841966,"score_gpt":0.2746989029473264,"score_spread":0.26017875050948447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3183438183","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6766022,0.003411246,0.28948024,0.00096733804,0.00006264606,0.00028179493,0.000020238644,0.00010848849,0.029065844],"genre_scores_gemma":[0.99208975,0.0001177673,0.0026947432,0.00006106769,0.000049822094,0.00003944131,0.0000063751386,0.000006359922,0.0049346928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995134,0.00005071153,0.00016103237,0.00012256164,0.000058911988,0.00009340925],"domain_scores_gemma":[0.99909896,0.00046816055,0.00006289488,0.00024170738,0.00009684812,0.000031420903],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017545359,0.00006679947,0.00015248964,0.00004526614,0.00014938462,0.000007831874,0.000088599554,0.000045562723,0.00026893328],"category_scores_gemma":[0.00018183625,0.000058807116,0.00002811083,0.00025851658,0.00025268225,0.00003710357,0.000086731685,0.000050851188,0.0000060155103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000081704175,0.00007160434,0.00010632355,0.000043971468,0.000019493604,6.5919284e-7,0.0002706732,2.9867115e-7,0.00049022655,0.987559,0.00015857982,0.011270973],"study_design_scores_gemma":[0.000119334494,0.000031621115,0.0002270748,0.000003219398,0.000030863903,0.0000164761,0.0014307577,6.068561e-7,0.015502665,0.9694269,0.013150873,0.0000596096],"about_ca_topic_score_codex":0.0000026204966,"about_ca_topic_score_gemma":0.0000029449823,"teacher_disagreement_score":0.31548756,"about_ca_system_score_codex":0.0000036362242,"about_ca_system_score_gemma":0.000043969318,"threshold_uncertainty_score":0.29446307},"labels":[],"label_agreement":null},{"id":"W3183975718","doi":"10.4171/jems/1113","title":"Local maxima of the systole function","year":2022,"lang":"en","type":"article","venue":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","topic":"Geometric and Algebraic Topology","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; Maxima; Function (biology); Systole; Mathematical analysis; Maxima and minima; Geometry; Internal medicine; Diastole","score_opus":0.021527112459235793,"score_gpt":0.24388648669090957,"score_spread":0.22235937423167376,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3183975718","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98295486,0.00038128224,0.011332212,0.0010056016,0.001501007,0.0002553931,0.000019357369,0.000109331835,0.0024409438],"genre_scores_gemma":[0.9971228,0.000007736012,0.0006987085,0.0002918683,0.00012722512,0.000024180063,0.000004694625,0.00004053196,0.0016822331],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977534,0.00039064488,0.00059404306,0.0003107819,0.00055609026,0.00039503173],"domain_scores_gemma":[0.9983565,0.00049309776,0.00043077205,0.000540472,0.00009333071,0.00008577827],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010478153,0.0002091878,0.0003701732,0.00028652287,0.000713403,0.00002235511,0.0006066602,0.000082548126,0.00036372247],"category_scores_gemma":[0.00050147413,0.00015795245,0.00027300988,0.0009900145,0.00017360572,0.000057447167,0.00037831804,0.0006708877,0.000016053926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007263497,0.0022706531,0.013050116,0.0006722241,0.0012360942,0.00019564362,0.014919646,0.0030954853,0.029216299,0.84730333,0.05384505,0.033469085],"study_design_scores_gemma":[0.0057799346,0.002604746,0.011101475,0.0004143272,0.0013128298,0.0025583496,0.032521445,0.0052353414,0.038321443,0.79429805,0.10376887,0.0020831674],"about_ca_topic_score_codex":0.00003777638,"about_ca_topic_score_gemma":0.000008044629,"teacher_disagreement_score":0.053005286,"about_ca_system_score_codex":0.00012830741,"about_ca_system_score_gemma":0.0001607616,"threshold_uncertainty_score":0.64411145},"labels":[],"label_agreement":null},{"id":"W3184291924","doi":"10.5539/jmr.v13n4p85","title":"Jacobi Manifolds, Contact Manifolds and Contactomorphism","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geometric and Algebraic Topology","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; Manifold (fluid mechanics); Differential topology; Pure mathematics; Order (exchange); Ricci-flat manifold; Differential geometry; Differential (mechanical device); Mathematical analysis; Geometry; Scalar curvature; Curvature","score_opus":0.1445373550233447,"score_gpt":0.4049993003789426,"score_spread":0.2604619453555979,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3184291924","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9793584,0.0021364626,0.0036657667,0.0023969254,0.00032182198,0.00023795845,0.000010492744,0.00002209218,0.011850131],"genre_scores_gemma":[0.9679199,0.0007443592,0.026240421,0.00007328399,0.00027745607,0.000003858728,0.0000012823394,0.000045972298,0.0046934565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996737,0.0003443936,0.0009399022,0.00020333928,0.0012390207,0.00053636933],"domain_scores_gemma":[0.99378186,0.003788035,0.00043227538,0.00040009545,0.0013023439,0.000295376],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00429018,0.0001855664,0.0007116494,0.00061100983,0.0001723124,0.00013721468,0.00038798552,0.00019581351,0.0010614312],"category_scores_gemma":[0.004279876,0.00014699555,0.00016827551,0.00059784367,0.0001388685,0.00016541104,0.00026880865,0.0009106724,0.000058385707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005135679,0.0013116772,0.0011096364,0.00085630646,0.0004637702,0.0031343312,0.00232544,4.3138414e-7,0.010129288,0.9417342,0.036899563,0.0019840307],"study_design_scores_gemma":[0.0025803414,0.0007969757,0.0020732384,0.00046109158,0.00013687061,0.008702439,0.008386713,0.00014143663,0.008369374,0.95775634,0.01027335,0.00032180417],"about_ca_topic_score_codex":0.000011119412,"about_ca_topic_score_gemma":0.000017123779,"teacher_disagreement_score":0.026626214,"about_ca_system_score_codex":0.00010372716,"about_ca_system_score_gemma":0.0003258912,"threshold_uncertainty_score":0.99985176},"labels":[],"label_agreement":null},{"id":"W3184553479","doi":"10.4230/lipics.icalp.2021.86","title":"Automorphisms and Isomorphisms of Maps in Linear Time","year":2021,"lang":"en","type":"article","venue":"DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Automorphism; Mathematics; Embedding; Antipodal point; Combinatorics; Isomorphism (crystallography); Homeomorphism (graph theory); Surface (topology); Vertex (graph theory); Discrete mathematics; Graph; Computer science; Geometry; Artificial intelligence","score_opus":0.022853191756842545,"score_gpt":0.2816594830081233,"score_spread":0.2588062912512808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3184553479","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98615354,0.0002523739,0.005611202,0.0006714803,0.00054769777,0.00082846393,0.00076377863,0.00011408693,0.005057396],"genre_scores_gemma":[0.9406948,0.00013119109,0.053637717,0.0007562324,0.00013363517,0.00007306174,0.0005601426,0.0000879911,0.003925248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99747634,0.00005350732,0.0013209974,0.0002372981,0.00033478477,0.00057705306],"domain_scores_gemma":[0.99806404,0.0005486076,0.00045153557,0.00052407675,0.00025979304,0.00015197437],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006219433,0.00031508732,0.000786884,0.00042677845,0.000094174124,0.00004334785,0.0003070113,0.00029909582,0.00030802973],"category_scores_gemma":[0.00061220117,0.00029548397,0.00017426076,0.00060534297,0.00022794545,0.00034344813,0.0003048256,0.00035278464,0.00009348874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012017314,0.008677639,0.12597604,0.015904844,0.0023680776,0.0005236954,0.06891343,0.00019594697,0.004448788,0.59246397,0.12517916,0.054146666],"study_design_scores_gemma":[0.05461423,0.003146861,0.015319238,0.002451352,0.0009010567,0.0028526566,0.018722354,0.08130972,0.042293448,0.48842806,0.28442985,0.005531178],"about_ca_topic_score_codex":0.000012069201,"about_ca_topic_score_gemma":0.00001726669,"teacher_disagreement_score":0.1592507,"about_ca_system_score_codex":0.000059714508,"about_ca_system_score_gemma":0.00011013117,"threshold_uncertainty_score":0.99994975},"labels":[],"label_agreement":null},{"id":"W3185445421","doi":"10.4171/jems/1123","title":"Motivic integration and Milnor fiber","year":2021,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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; Mathematisches Forschungsinstitut Oberwolfach; University of British Columbia; Centre National de la Recherche Scientifique; Sun Yat-sen University; Agence Nationale de la Recherche; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Fiber; Pure mathematics; Algebra over a field; Composite material","score_opus":0.031664068724243315,"score_gpt":0.2735597921516715,"score_spread":0.24189572342742816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3185445421","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9038066,0.0005376468,0.041001853,0.0071407715,0.0003654783,0.00014344102,0.00000331649,0.00003074487,0.046970107],"genre_scores_gemma":[0.8885857,0.00007733753,0.095839664,0.00066276244,0.0005109983,5.928736e-7,3.6889188e-7,0.00004421831,0.014278391],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987414,0.0003424864,0.00043770036,0.00008969938,0.00025070668,0.0001380203],"domain_scores_gemma":[0.9986605,0.0006192846,0.0002948223,0.00019828531,0.0001523718,0.00007474873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012706083,0.00010190453,0.0002485414,0.000017416505,0.00009680353,0.00004168121,0.0001952409,0.000041910553,0.00040954596],"category_scores_gemma":[0.0019753466,0.000056136272,0.00032816772,0.00021636534,0.00011732088,0.00006671794,0.00016685603,0.00032773055,0.00004304076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036801488,0.0023871306,0.0011631217,0.001363606,0.001544084,0.00031805865,0.022953054,0.000015842928,0.010101883,0.50861853,0.35629746,0.095200405],"study_design_scores_gemma":[0.00085636857,0.00007595162,0.0048307464,0.00028612503,0.00026000012,0.0015523591,0.0021275007,0.00022532663,0.001946525,0.98218125,0.0054718526,0.00018599966],"about_ca_topic_score_codex":1.4180878e-7,"about_ca_topic_score_gemma":1.7468626e-7,"teacher_disagreement_score":0.4735627,"about_ca_system_score_codex":0.00002574426,"about_ca_system_score_gemma":0.00003069663,"threshold_uncertainty_score":0.4484241},"labels":[],"label_agreement":null},{"id":"W3192796714","doi":"10.4171/ggd/615","title":"Convexity of balls in outer space","year":2021,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Convexity; Mathematics; Space (punctuation); Geometry; Pure mathematics; Computer science","score_opus":0.018868820955598234,"score_gpt":0.26679841965174983,"score_spread":0.2479295986961516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3192796714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97851515,0.00030290245,0.017023146,0.0004803475,0.00017603909,0.00006952705,0.000026036716,0.000019180692,0.0033876814],"genre_scores_gemma":[0.99252826,0.00008223388,0.005989236,0.00010313625,0.000027837285,0.0000024070357,0.000014765278,0.000010520457,0.0012416313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906576,0.000057737845,0.0002911459,0.0002249302,0.00013099465,0.00022945354],"domain_scores_gemma":[0.9990566,0.00047667342,0.00009669925,0.00024333301,0.00006255423,0.00006414296],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030920206,0.00011754509,0.00034806292,0.00026059107,0.000027683767,0.000011523982,0.000091578375,0.000148163,0.00019868364],"category_scores_gemma":[0.00058682496,0.00011387924,0.000055902976,0.00089923566,0.00011465843,0.000063007516,0.00013943939,0.00018074346,0.0000061386677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017116528,0.00024936817,0.13806154,0.00025659462,0.00004135862,0.000105625884,0.00028556836,0.0000067894493,0.00006547559,0.8558314,0.00013256211,0.004946599],"study_design_scores_gemma":[0.0016904862,0.00013269273,0.11434863,0.00006742596,0.000056928217,0.00019211572,0.0023810135,0.0053192033,0.00055281154,0.87439966,0.00046144964,0.00039757023],"about_ca_topic_score_codex":0.000029029441,"about_ca_topic_score_gemma":0.00015823983,"teacher_disagreement_score":0.023712913,"about_ca_system_score_codex":0.000029971252,"about_ca_system_score_gemma":0.00003192645,"threshold_uncertainty_score":0.46438608},"labels":[],"label_agreement":null},{"id":"W3193537747","doi":"10.1088/1751-8121/ac1fc2","title":"Knot probabilities in equilateral random polygons","year":2021,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","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":"Leverhulme Trust","keywords":"Knot (papermaking); Unknot; Mathematics; Combinatorics; Polygon (computer graphics); Exponential function; Monte Carlo method; Scaling; Equilateral triangle; Geometry; Mathematical analysis; Statistics; Computer science","score_opus":0.021837160648050274,"score_gpt":0.28617548087090316,"score_spread":0.26433832022285286,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3193537747","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9798307,0.00018189462,0.014381891,0.0019098289,0.00009076277,0.00009398498,0.0000029968794,0.00000988293,0.0034980534],"genre_scores_gemma":[0.98785216,0.000022269749,0.011694989,0.00008166333,0.00017901354,0.0000030098033,3.8302923e-7,0.000014523042,0.00015199659],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845743,0.00017019965,0.00067652646,0.00013734632,0.00027930245,0.00027916973],"domain_scores_gemma":[0.9973603,0.0020451574,0.00015117577,0.00015721419,0.00014266765,0.00014349812],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007328961,0.00015035742,0.0006449552,0.000079696896,0.00003426194,0.00004253496,0.00012435876,0.00009300726,0.0006550862],"category_scores_gemma":[0.0019326304,0.0001022352,0.00017600335,0.0002522974,0.000553941,0.000093348994,0.0001090456,0.00035261633,0.000009072252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000722326,0.00052160857,0.000116863324,0.00015672667,0.000045327615,0.00011254923,0.0007163311,7.986874e-7,0.0001679143,0.99688363,0.00006216913,0.0011438212],"study_design_scores_gemma":[0.0014943692,0.00013526934,0.000060268565,0.00014001713,0.000061477054,0.0005674404,0.0003938947,0.0003121501,0.0013467448,0.9953443,0.000031008287,0.0001130496],"about_ca_topic_score_codex":2.9494828e-7,"about_ca_topic_score_gemma":3.2525918e-7,"teacher_disagreement_score":0.008021448,"about_ca_system_score_codex":0.000021553553,"about_ca_system_score_gemma":0.000085497144,"threshold_uncertainty_score":0.7172735},"labels":[],"label_agreement":null},{"id":"W3195848312","doi":"10.1007/s41468-023-00144-7","title":"Yarn ball knots and faster computations","year":2023,"lang":"en","type":"article","venue":"Journal of Applied and Computational Topology","topic":"Geometric and Algebraic Topology","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","keywords":"Knot (papermaking); Computation; Knot theory; Ball (mathematics); Computer science; Knot invariant; Yarn; Tricolorability; Mathematics; Algorithm; Geometry; Mechanical engineering; Engineering","score_opus":0.032942445261167,"score_gpt":0.30170797640083813,"score_spread":0.2687655311396711,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195848312","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96965766,0.00010842767,0.023608409,0.0029322074,0.0002925241,0.000084577936,0.0000048107286,0.00003161283,0.0032797598],"genre_scores_gemma":[0.98463595,0.000033913144,0.014591755,0.00037741972,0.00015794403,0.000001968324,0.000004112227,0.000009029128,0.00018793362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991912,0.000030273239,0.00036190913,0.000115791125,0.00014486644,0.00015595312],"domain_scores_gemma":[0.9984928,0.0010771431,0.00020224565,0.000042851676,0.000099964214,0.00008502945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026845577,0.000094318275,0.0002668876,0.00035495477,0.00010158217,0.000018996785,0.00007367665,0.000075258,0.00006367673],"category_scores_gemma":[0.000066469955,0.00007949727,0.000037709862,0.00026719482,0.00017505325,0.000041079424,0.000066327724,0.0001542974,0.00001752647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047436093,0.000059380836,0.0007223849,0.00003897659,0.00010272344,0.000032168897,0.00091663876,0.0017282387,0.000058877606,0.976182,0.0054388526,0.014672348],"study_design_scores_gemma":[0.00082477514,0.00012520634,0.018504716,0.000007000103,0.000031211945,0.0003175321,0.000729738,0.002221973,0.00000838294,0.97530264,0.0018402154,0.00008659257],"about_ca_topic_score_codex":0.0000011956645,"about_ca_topic_score_gemma":0.0000011093283,"teacher_disagreement_score":0.017782332,"about_ca_system_score_codex":0.000009384565,"about_ca_system_score_gemma":0.000043506985,"threshold_uncertainty_score":0.32418045},"labels":[],"label_agreement":null},{"id":"W3197709097","doi":"10.2140/agt.2024.24.897","title":"Equivariantly slicing strongly negative amphichiral knots","year":2024,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Equivariant map; Knot (papermaking); Slicing; Bounding overwatch; Mathematics; Pure mathematics; Combinatorics; Ribbon; Geometry; Computer science; Artificial intelligence; Materials science","score_opus":0.03930262932506983,"score_gpt":0.3218952404166416,"score_spread":0.28259261109157174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3197709097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87719285,0.0069017583,0.06282112,0.00627925,0.00727732,0.0010651714,0.000081300954,0.0018995198,0.036481693],"genre_scores_gemma":[0.9858487,0.00010493448,0.004793507,0.00050184247,0.0010352872,0.000069792724,0.00002301568,0.0001222379,0.007500666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952357,0.0003491731,0.001033237,0.0012156816,0.0005795271,0.0015867187],"domain_scores_gemma":[0.9923995,0.006000642,0.00024080259,0.0008485557,0.00016133075,0.00034913124],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011560638,0.00064017856,0.0010249185,0.004160107,0.0003162758,0.00016061105,0.00082602433,0.0005925893,0.004945555],"category_scores_gemma":[0.004642848,0.0005719616,0.0003967368,0.008416182,0.00060279266,0.0003608755,0.00047065853,0.0010392064,0.0012930701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038731403,0.00018948535,0.00092094566,0.00018219177,0.0005579069,0.00034867236,0.0009225507,0.000014555555,0.00022554053,0.9503574,0.01751477,0.028727287],"study_design_scores_gemma":[0.0015192354,0.0010569261,0.0067786463,0.000101162535,0.00042422436,0.0008992111,0.0012318477,0.0005956018,0.0008682183,0.9610077,0.024346532,0.0011706963],"about_ca_topic_score_codex":0.0004284782,"about_ca_topic_score_gemma":0.000080090045,"teacher_disagreement_score":0.10865585,"about_ca_system_score_codex":0.0002405475,"about_ca_system_score_gemma":0.00031050466,"threshold_uncertainty_score":0.9996732},"labels":[],"label_agreement":null},{"id":"W3198033608","doi":"10.48550/arxiv.2109.01763","title":"An Algorithm to Solve the Generalized Conjugacy Problem in Relatively Hyperbolic Groups","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Conjugacy problem; Conjugacy class; Mathematics; Relatively hyperbolic group; Exponential function; Group (periodic table); Pure mathematics; Applied mathematics; Hyperbolic function; Hyperbolic manifold; Mathematical analysis","score_opus":0.10374995615067405,"score_gpt":0.23872801659504136,"score_spread":0.13497806044436733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198033608","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8441799,0.00009715619,0.15207334,0.0003497079,0.00030137124,0.00078817154,0.00002529867,0.000119073855,0.0020659328],"genre_scores_gemma":[0.96227926,0.00012587996,0.03532017,0.0003051619,0.00013584562,0.000008270229,0.000038491467,0.00005010516,0.0017368457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975662,0.00036694802,0.0003784563,0.0010417451,0.00012134523,0.0005252862],"domain_scores_gemma":[0.99779755,0.00043196857,0.00027372732,0.0011019225,0.0001822055,0.00021265367],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005585847,0.00040548432,0.00068431674,0.00050490873,0.0001548367,0.00007866288,0.001023147,0.00045002758,0.00030145954],"category_scores_gemma":[0.00020686227,0.00036773944,0.00022860523,0.0013908093,0.0001704083,0.00016517765,0.0010199348,0.00097150286,0.000056199344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008202322,0.00077638007,0.003329073,0.00015955081,0.00037605484,0.0010978513,0.006257706,0.018337663,0.00009273869,0.9652885,0.0008936298,0.0033088205],"study_design_scores_gemma":[0.0022597695,0.00021521504,0.0062053297,0.00019952934,0.00032664207,0.00003485851,0.005253704,0.037110962,0.00013664861,0.94606924,0.001034546,0.0011535244],"about_ca_topic_score_codex":0.00068633043,"about_ca_topic_score_gemma":0.0003476387,"teacher_disagreement_score":0.11809928,"about_ca_system_score_codex":0.0002342002,"about_ca_system_score_gemma":0.00024025442,"threshold_uncertainty_score":0.99987745},"labels":[],"label_agreement":null},{"id":"W3199776414","doi":"10.1007/s40879-024-00779-5","title":"The mirror Clemens–Schmid sequence","year":2024,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Center of Mathematical Sciences and Applications, Harvard University; Engineering and Physical Sciences Research Council; Bard College","keywords":"Sequence (biology); Chemistry; Biochemistry","score_opus":0.09563207905834113,"score_gpt":0.33879806655744016,"score_spread":0.243165987499099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3199776414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8240317,0.0072373506,0.065622054,0.012723237,0.0049146716,0.00047673538,0.000018199149,0.000331408,0.08464465],"genre_scores_gemma":[0.8904998,0.00038314387,0.100794725,0.00014176474,0.00048538647,0.0000011690105,4.3185113e-7,0.00009941116,0.007594229],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980878,0.00026861142,0.00087803154,0.00010643647,0.00039209487,0.0002670044],"domain_scores_gemma":[0.99723625,0.0018254304,0.00038018083,0.00030477956,0.00014922279,0.00010416219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038368385,0.00015503714,0.00025596676,0.00015679152,0.0001513944,0.00015736933,0.00057933416,0.000023682236,0.00014933117],"category_scores_gemma":[0.001646004,0.000086476735,0.00019926995,0.0003442754,0.00014512683,0.00010330088,0.00009635107,0.0004151381,0.00036501873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011207802,0.00016485552,0.000018811228,0.00046190695,0.00032652653,0.0020998067,0.0039779036,0.0000018046078,0.00077638746,0.90409815,0.059630007,0.028432637],"study_design_scores_gemma":[0.00055288395,0.0005518585,0.000115464296,0.0007579904,0.0002758709,0.0054416284,0.003763811,0.0006973772,0.0006061456,0.65988,0.32700843,0.00034854774],"about_ca_topic_score_codex":3.8528745e-7,"about_ca_topic_score_gemma":8.0884763e-7,"teacher_disagreement_score":0.26737842,"about_ca_system_score_codex":0.000035288827,"about_ca_system_score_gemma":0.000072591065,"threshold_uncertainty_score":0.4691699},"labels":[],"label_agreement":null},{"id":"W3200429863","doi":"10.1093/qmath/haaa057","title":"Framings of<i>W</i>g,1","year":2021,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Mathematical economics","score_opus":0.032237194966117974,"score_gpt":0.2960062134328191,"score_spread":0.2637690184667011,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200429863","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94001114,0.0010699889,0.054673024,0.0012545881,0.00048648842,0.00008353951,0.0000032786647,0.0000138441455,0.0024040963],"genre_scores_gemma":[0.9281811,0.000050291324,0.07076074,0.000076177894,0.00019861595,9.594927e-7,2.6711692e-7,0.000023713892,0.0007081042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830186,0.00010814068,0.00092089426,0.00006883378,0.00041538736,0.00018489578],"domain_scores_gemma":[0.9964601,0.0016486072,0.0010062724,0.0003839774,0.00043995536,0.00006112968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011394079,0.0001234388,0.0005063488,0.00011395274,0.00005302192,0.000020473275,0.0003993908,0.000074755044,0.0002715189],"category_scores_gemma":[0.0008283136,0.00007484825,0.00024607888,0.00037340476,0.00012809697,0.00007648479,0.00002705806,0.00020872001,0.000017102317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025628866,0.0016930148,0.00013424874,0.0008628167,0.0007129963,0.00031364374,0.046827424,0.000005635813,0.0050440044,0.9015159,0.01351926,0.029345442],"study_design_scores_gemma":[0.00048605757,0.00043432156,0.000046654648,0.00014104038,0.00020103483,0.0016299175,0.017016325,0.000050334227,0.0045616315,0.9741709,0.0011582916,0.0001034532],"about_ca_topic_score_codex":0.0000011425468,"about_ca_topic_score_gemma":0.0000013906672,"teacher_disagreement_score":0.07265505,"about_ca_system_score_codex":0.0000147361225,"about_ca_system_score_gemma":0.000107891814,"threshold_uncertainty_score":0.3052223},"labels":[],"label_agreement":null},{"id":"W3202859477","doi":"10.1007/s00208-023-02697-5","title":"Cosmetic operations and Khovanov multicurves","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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; Thomas F. and Kate Miller Jeffress Memorial Trust; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; American Mathematical Society; National Science Foundation","keywords":"Mathematics; Khovanov homology; Arithmetic; Pure mathematics; Algebra over a field","score_opus":0.10116445814067529,"score_gpt":0.3605318695777757,"score_spread":0.2593674114371004,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202859477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9867993,0.00025718933,0.004584679,0.0024389012,0.00011366206,0.00032688706,0.000020658938,0.0004231517,0.0050355843],"genre_scores_gemma":[0.9520218,0.00013321453,0.026749523,0.00017294855,0.00009329529,0.00008019936,0.000014653289,0.00004386341,0.020690518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989441,0.000060153307,0.0002835796,0.00023641916,0.00017512689,0.00030059816],"domain_scores_gemma":[0.9988723,0.00063444424,0.000049085356,0.0002941108,0.000057602967,0.00009245852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048331128,0.00015229778,0.0002733685,0.0002761828,0.00016416669,0.00005046239,0.0001533138,0.00008368323,0.00038516626],"category_scores_gemma":[0.0011853133,0.00012567185,0.000053884705,0.00063604256,0.00010775592,0.00010964958,0.00013825342,0.00012056488,0.0007710526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000954832,0.00027794982,0.0017779078,0.00060007,0.00022735872,0.00007136781,0.0068572806,0.000023977385,0.0015425927,0.87983775,0.09440022,0.014373992],"study_design_scores_gemma":[0.0015122636,0.00020876867,0.015343578,0.00015838094,0.00017348996,0.00023371808,0.0028798906,0.01016253,0.0019928818,0.9473351,0.019162893,0.0008364682],"about_ca_topic_score_codex":0.000012204205,"about_ca_topic_score_gemma":0.000018946506,"teacher_disagreement_score":0.07523733,"about_ca_system_score_codex":0.0000069521925,"about_ca_system_score_gemma":0.000020031803,"threshold_uncertainty_score":0.9910578},"labels":[],"label_agreement":null},{"id":"W3205929950","doi":"10.4310/atmp.2023.v27.n8.a1","title":"$K_2$ and quantum curves","year":2023,"lang":"en","type":"preprint","venue":"Advances in Theoretical and Mathematical Physics","topic":"Geometric and Algebraic Topology","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":"Conifold; Conjecture; Mathematics; Mirror symmetry; Moduli; Pure mathematics; Genus; Symmetry (geometry); Function (biology); String (physics); Geometry; Mathematical physics; Quantum mechanics; Physics","score_opus":0.03355028451301437,"score_gpt":0.3411023469576241,"score_spread":0.30755206244460975,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3205929950","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23592807,0.05943613,0.6258681,0.017319618,0.0032728536,0.0051308917,0.00035113803,0.0018030087,0.050890226],"genre_scores_gemma":[0.93949777,0.035104327,0.023229107,0.00062238605,0.00051844947,0.00025790735,0.000029379875,0.00016252768,0.00057816214],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979152,0.00012375109,0.00058784895,0.0006069671,0.00030631648,0.000459934],"domain_scores_gemma":[0.99532884,0.0038498319,0.00015625813,0.00043446588,0.00006482665,0.0001657966],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00060930825,0.00039538927,0.00097392546,0.00009651173,0.00005728619,0.000036876678,0.0002621883,0.0002777582,0.000174775],"category_scores_gemma":[0.0032433,0.00030419618,0.0001018641,0.00025084495,0.0017106344,0.00010013919,0.0010914045,0.0007975145,0.00006151581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014606402,0.00015801917,0.00004437496,0.0049844305,0.000023659499,0.000015597467,0.00017226621,0.0000024105022,0.0000013881642,0.9899461,0.00037199282,0.004265129],"study_design_scores_gemma":[0.00024111754,0.00006242357,0.000044175147,0.0015874257,0.00008644475,0.00001096957,0.00011984615,0.0021134014,0.00002738433,0.9952133,0.00014419275,0.00034926177],"about_ca_topic_score_codex":0.0000011496173,"about_ca_topic_score_gemma":0.0000013061706,"teacher_disagreement_score":0.70356965,"about_ca_system_score_codex":0.000017967122,"about_ca_system_score_gemma":0.0000267933,"threshold_uncertainty_score":0.999941},"labels":[],"label_agreement":null},{"id":"W3207297377","doi":"10.1112/topo.12346","title":"On the tau invariants in instanton and monopole Floer theories","year":2024,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Instanton; Magnetic monopole; Floer homology; Mathematics; Theoretical physics; Physics; Mathematical physics; Pure mathematics; Quantum mechanics","score_opus":0.02856326240699571,"score_gpt":0.30735480440307755,"score_spread":0.27879154199608186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207297377","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97499794,0.0013755101,0.00077260676,0.015963273,0.0009025396,0.000066927285,0.00000201755,0.000008511616,0.0059106527],"genre_scores_gemma":[0.9981436,0.00015030475,0.00035418238,0.0004567261,0.0001525128,0.0000014832488,8.1155804e-8,0.000009397023,0.00073172303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913555,0.00015382741,0.000339064,0.00009319908,0.00010688591,0.0001714991],"domain_scores_gemma":[0.9977747,0.0019368446,0.000107301035,0.00011329711,0.000030618772,0.000037233174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008467726,0.000090360816,0.00024581823,0.00034259298,0.000043407978,0.000027431075,0.00015339236,0.000099741155,0.0005843062],"category_scores_gemma":[0.0011677151,0.000049873277,0.000050141265,0.00025928294,0.00021276753,0.000070730915,0.000050292652,0.00039374907,0.000017879313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028156961,0.00003828144,0.00052140956,0.000018482948,0.00004121155,0.00016134723,0.00093611295,0.000001418122,0.00006499969,0.99153835,0.004641151,0.0020090714],"study_design_scores_gemma":[0.00024136691,0.0002812154,0.0013912958,0.000049054797,0.000019529007,0.0004459494,0.0010257512,0.000042244897,0.0002159068,0.993401,0.0028325708,0.00005409971],"about_ca_topic_score_codex":0.000017339007,"about_ca_topic_score_gemma":0.000030446345,"teacher_disagreement_score":0.023145627,"about_ca_system_score_codex":0.00003247554,"about_ca_system_score_gemma":0.00006658461,"threshold_uncertainty_score":0.63977426},"labels":[],"label_agreement":null},{"id":"W3207913768","doi":"10.3390/sym13101946","title":"Inner Product Groups and Riesz Representation Theorem","year":2021,"lang":"en","type":"article","venue":"Symmetry","topic":"Geometric and Algebraic Topology","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":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Riesz representation theorem; Inner product space; Abelian group; Pure mathematics; Product (mathematics); Representation theorem; Group (periodic table); Physics; Geometry","score_opus":0.03159338627450226,"score_gpt":0.3056265794408155,"score_spread":0.27403319316631325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3207913768","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9801179,0.0008371859,0.0011180956,0.0016565891,0.00031257884,0.00009601254,0.0000032377218,0.00006419471,0.015794178],"genre_scores_gemma":[0.9911575,0.00002987178,0.004510122,0.00016912463,0.00017937485,0.0000058930823,0.000008174686,0.000013085217,0.003926875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992041,0.00008430609,0.00015965021,0.0002548089,0.00012296559,0.00017416092],"domain_scores_gemma":[0.99920607,0.00032540338,0.000057017896,0.00029317965,0.00007089662,0.000047451365],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024959902,0.0000820842,0.00015951852,0.00010022846,0.000063295935,0.000023685741,0.000057425037,0.000052340692,0.00024812578],"category_scores_gemma":[0.0021373967,0.00007003573,0.000032458625,0.00060592516,0.000080825266,0.00006663513,0.00009180518,0.00010920988,0.000028129381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007726366,0.00008446664,0.025981057,0.0000733421,0.000050098122,0.000039200495,0.00043335522,1.599415e-7,0.0005790391,0.9402163,0.008837319,0.02369794],"study_design_scores_gemma":[0.00035725566,0.000021574255,0.021187205,0.000011294789,0.000036483467,0.00019431883,0.0011906843,0.0000128925185,0.010959933,0.9631807,0.002706294,0.00014137322],"about_ca_topic_score_codex":0.000010243659,"about_ca_topic_score_gemma":0.000006949437,"teacher_disagreement_score":0.023556566,"about_ca_system_score_codex":0.000012085343,"about_ca_system_score_gemma":0.000027466303,"threshold_uncertainty_score":0.2855974},"labels":[],"label_agreement":null},{"id":"W3208337740","doi":"10.1090/proc/16246","title":"The Montesinos trick for proper rational tangle replacement","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Tangle; Mathematics; Prime (order theory); Combinatorics; Pure mathematics","score_opus":0.02731115731011921,"score_gpt":0.2854709223989528,"score_spread":0.25815976508883354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3208337740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96033055,0.0001424731,0.0058311606,0.022913883,0.0001965212,0.003047258,0.00004769527,0.0001313485,0.0073591424],"genre_scores_gemma":[0.93474716,0.00001539577,0.05195181,0.0009402467,0.00013982285,0.0012950992,0.0000014551972,0.000052100004,0.0108568845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983419,0.000021689475,0.00047524113,0.0002319004,0.0005944358,0.00033481806],"domain_scores_gemma":[0.9975626,0.0013131312,0.00067452586,0.00019265716,0.00020644399,0.000050659564],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013444341,0.0001495925,0.00034798158,0.000021826174,0.00089819776,0.000034934495,0.0006776555,0.000023068875,0.00011335193],"category_scores_gemma":[0.0017641664,0.000080706275,0.00043662012,0.0006836241,0.0005634128,0.00004597805,0.00044826884,0.00022243393,0.0000028272448],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013802998,0.00050203427,0.0006683024,0.00022292891,0.00021689315,4.9333998e-8,0.0019208094,0.0000033483595,0.0011629453,0.7823661,0.21146826,0.0013303114],"study_design_scores_gemma":[0.00069085526,0.0005699665,0.00026704726,0.000015927044,0.00013461708,0.000023598725,0.013496328,0.0022535634,0.0017711382,0.96084744,0.019717777,0.00021177313],"about_ca_topic_score_codex":0.000004102265,"about_ca_topic_score_gemma":1.6163737e-7,"teacher_disagreement_score":0.19175048,"about_ca_system_score_codex":0.00012224811,"about_ca_system_score_gemma":0.00005908265,"threshold_uncertainty_score":0.6908302},"labels":[],"label_agreement":null},{"id":"W3208417833","doi":"10.1007/s00209-023-03337-z","title":"The grand arc graph","year":2023,"lang":"de","type":"preprint","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; University of Toronto; National Science Foundation","keywords":"Mathematics; Arc (geometry); Graph; Mapping class group; Combinatorics; Action (physics); Surface (topology); Pure mathematics; Geometry; Physics","score_opus":0.052986007019546505,"score_gpt":0.2998452909067966,"score_spread":0.24685928388725012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3208417833","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07398098,0.0935633,0.21906406,0.08650578,0.076998085,0.027558941,0.0030370832,0.011507854,0.40778393],"genre_scores_gemma":[0.4010216,0.040772684,0.060839012,0.0012643453,0.009511147,0.004392971,0.0008965135,0.0030905902,0.47821113],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9906404,0.00078955136,0.0027188857,0.0018524213,0.0017236657,0.0022750902],"domain_scores_gemma":[0.98352516,0.009587134,0.0018197354,0.00410134,0.0004282162,0.0005384462],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0052607963,0.0016587141,0.002293872,0.0008955859,0.0018379348,0.00085114466,0.0033462434,0.0016469567,0.0013345706],"category_scores_gemma":[0.0062029967,0.0011390192,0.0014157626,0.0019330971,0.0012005584,0.00013871214,0.0034475606,0.0033614933,0.025398739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057402587,0.00036759637,0.0001549569,0.002214566,0.0018807445,0.00011596068,0.0029536895,0.000030998508,0.00004185915,0.7667981,0.22113802,0.0042461064],"study_design_scores_gemma":[0.0012146672,0.00014124445,0.0004882218,0.0009495616,0.0010363746,0.00010699968,0.0010953891,0.00033615273,0.00024842433,0.6279624,0.36503682,0.0013837477],"about_ca_topic_score_codex":0.000116770636,"about_ca_topic_score_gemma":0.00015182298,"teacher_disagreement_score":0.32704064,"about_ca_system_score_codex":0.000023258253,"about_ca_system_score_gemma":0.00039412495,"threshold_uncertainty_score":0.9996491},"labels":[],"label_agreement":null},{"id":"W3211500601","doi":"10.1142/s0218196721500612","title":"Hierarchy for groups acting on hyperbolic ℤn-spaces","year":2021,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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":"Cégep de Saint-Laurent","funders":"","keywords":"Mathematics; Lexicographical order; Metric space; Abelian group; Hyperbolic group; Hierarchy; Group (periodic table); Algebra over a field; Combinatorics; Pure mathematics; Hyperbolic manifold; Hyperbolic function; Mathematical analysis","score_opus":0.044664916654907544,"score_gpt":0.34732197274257437,"score_spread":0.3026570560876668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211500601","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91539496,0.00017821434,0.079270095,0.003544105,0.0008640746,0.000049160222,0.000003440178,0.0000104620485,0.00068548444],"genre_scores_gemma":[0.98532677,0.00004495445,0.013678929,0.0002880072,0.0005063153,0.0000015403807,0.0000054745706,0.0000091787215,0.00013881705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991966,0.000042952037,0.0003030792,0.00010044178,0.0002628478,0.000094088944],"domain_scores_gemma":[0.99814737,0.0009635722,0.00029554174,0.00003652885,0.00050875155,0.00004821151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022889665,0.00007691082,0.000161939,0.00021285584,0.000052949876,0.00007390083,0.000104568164,0.000043535507,0.000033625918],"category_scores_gemma":[0.0006302572,0.0000671933,0.0000863903,0.00009516106,0.000026174373,0.00010250701,0.000029700308,0.00011390725,0.0000023502869],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034766193,0.00047162984,0.0015142373,0.000066716035,0.0007017028,0.00017032928,0.00222978,0.00041300984,0.0013013636,0.65820503,0.0048739063,0.32970464],"study_design_scores_gemma":[0.0019217747,0.00039328152,0.0038269826,0.00011009983,0.000055383647,0.00070075196,0.0015018475,0.0016167316,0.002562958,0.9834907,0.0036723767,0.00014710378],"about_ca_topic_score_codex":0.0000010619295,"about_ca_topic_score_gemma":0.0000017995653,"teacher_disagreement_score":0.32955754,"about_ca_system_score_codex":0.000031675183,"about_ca_system_score_gemma":0.000052479052,"threshold_uncertainty_score":0.27400634},"labels":[],"label_agreement":null},{"id":"W3213456330","doi":"10.4153/s000843952200025x","title":"Hyperbolic Coxeter groups of minimal growth rates in higher dimensions","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Coxeter group; Mathematics; Simplex; Longest element of a Coxeter group; Generalization; Artin group; Combinatorics; Coxeter complex; Pure mathematics; Coxeter element; Mathematical analysis","score_opus":0.03921831905442213,"score_gpt":0.2577163716703224,"score_spread":0.21849805261590027,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213456330","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9628987,0.00012601193,0.00004946538,0.012345505,0.00016953953,0.00034986142,0.00005603756,0.000034106248,0.023970826],"genre_scores_gemma":[0.99218184,0.0000024150238,0.0022137158,0.00086236617,0.000039607938,0.00008849745,0.0000068856957,0.000035174373,0.0045695105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982626,0.00016263165,0.0005248013,0.00025925384,0.00025730493,0.00053343695],"domain_scores_gemma":[0.99821097,0.0010097044,0.000103759994,0.00030379696,0.00004510116,0.0003266568],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00049298996,0.00017757942,0.0004740915,0.00051302346,0.00012549921,0.000010235809,0.00031615622,0.00008859495,0.078124896],"category_scores_gemma":[0.0008520753,0.00016898374,0.000104992134,0.00058440486,0.00015594324,0.000015252408,0.0001384563,0.00032181636,0.000806631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013537693,0.00023944657,0.00089838356,0.00012797653,0.000029045417,0.0001402181,0.0005256836,0.0000017427069,0.00009185333,0.95525587,0.042608853,0.000067369656],"study_design_scores_gemma":[0.0010938596,0.00020141418,0.002841219,0.000049830935,0.000057866106,0.00011860106,0.0011731805,0.000074666976,0.00018257914,0.9446969,0.04905845,0.00045140676],"about_ca_topic_score_codex":0.00089830626,"about_ca_topic_score_gemma":0.0004898715,"teacher_disagreement_score":0.077318266,"about_ca_system_score_codex":0.00015350882,"about_ca_system_score_gemma":0.00014320035,"threshold_uncertainty_score":0.99997133},"labels":[],"label_agreement":null},{"id":"W3213702591","doi":"10.4310/cag.241212011633","title":"Concordance invariants of null-homologous knots in thickened surfaces","year":2024,"lang":"en","type":"article","venue":"Communications in Analysis and Geometry","topic":"Geometric and Algebraic Topology","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":"Cobordism; Mathematics; Null (SQL); Combinatorics; Concordance; Invariant (physics); Knot (papermaking); Seifert surface; Signature (topology); Pure mathematics; Geometry; Knot invariant; Knot theory; Mathematical physics; Computer science; Bioinformatics","score_opus":0.05480843114670411,"score_gpt":0.3653460556389657,"score_spread":0.31053762449226163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213702591","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98091257,0.013797194,0.001991735,0.00096823426,0.00004159455,0.00009708647,0.000015659894,0.000026799618,0.0021491393],"genre_scores_gemma":[0.989782,0.0027488128,0.0070751566,0.000033635904,0.000004961863,0.0000133358,0.000015171648,0.000007723749,0.00031924987],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998753,0.00022524335,0.0005332745,0.00021471054,0.00011087257,0.00016288273],"domain_scores_gemma":[0.99669516,0.002122072,0.000106157,0.0009935366,0.00004998812,0.000033107994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010550817,0.000106332,0.0004735925,0.0021487386,0.000048693364,0.000026275242,0.00053222186,0.00011391631,0.00013786257],"category_scores_gemma":[0.00077977753,0.00009650554,0.000091987284,0.007444892,0.00028478197,0.00007792306,0.0003180064,0.00029032474,0.0000068772324],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014112035,0.00059146393,0.64578956,0.0002664324,0.00096734543,0.000022074224,0.0022184327,0.00017540387,0.00030570163,0.32841685,0.0003125131,0.02092008],"study_design_scores_gemma":[0.0007706088,0.000090620335,0.6774195,0.00026602313,0.0007673139,0.000016775806,0.00277745,0.0302794,0.0003754021,0.28552938,0.0012610751,0.0004465039],"about_ca_topic_score_codex":0.000555325,"about_ca_topic_score_gemma":0.0027745555,"teacher_disagreement_score":0.04288749,"about_ca_system_score_codex":0.00003202876,"about_ca_system_score_gemma":0.00004658739,"threshold_uncertainty_score":0.39353818},"labels":[],"label_agreement":null},{"id":"W3213783682","doi":"10.1088/1751-8121/ac385a","title":"Linking and link complexity of geometrically constrained pairs of rings","year":2021,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","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":"Radius of gyration; Link (geometry); Constraint (computer-aided design); Monte Carlo method; Lattice (music); Prolate spheroid; Combinatorics; Mathematics; RADIUS; Simple (philosophy); Physics; Statistical physics; Geometry; Mathematical analysis; Computer science","score_opus":0.03966245857124581,"score_gpt":0.2857737254617936,"score_spread":0.24611126689054777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213783682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9245671,0.00021905049,0.07239868,0.0010370763,0.00004109245,0.00006892399,0.000008975003,0.0000066770713,0.0016524323],"genre_scores_gemma":[0.94396424,0.0000484477,0.05583008,0.00003345365,0.00009806719,4.9540273e-7,5.20962e-7,0.000011634252,0.000013033105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828964,0.00010975572,0.00090134767,0.0001319431,0.00037303596,0.00019424457],"domain_scores_gemma":[0.9958706,0.0029096156,0.00049361726,0.00015314475,0.00040856394,0.00016447321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008686423,0.0001454552,0.00088320684,0.00010244065,0.000035648332,0.000016978942,0.0001264539,0.00011244155,0.00021756541],"category_scores_gemma":[0.0027757904,0.00010480643,0.00018191668,0.00042569925,0.0021475537,0.000054301017,0.00015582009,0.00031548084,8.5156546e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032824923,0.00038691776,0.00032655345,0.00062325306,0.00011962548,0.000027616883,0.00036587036,2.9447116e-7,0.0009023671,0.9917804,0.000009040431,0.0054252353],"study_design_scores_gemma":[0.0007336925,0.00030146807,0.00033298187,0.0002691021,0.0001620499,0.0003685469,0.00028151073,0.0004895785,0.006115989,0.9908394,0.000009056888,0.00009660759],"about_ca_topic_score_codex":2.8768378e-7,"about_ca_topic_score_gemma":5.9501218e-8,"teacher_disagreement_score":0.019397173,"about_ca_system_score_codex":0.000007916545,"about_ca_system_score_gemma":0.00007236577,"threshold_uncertainty_score":0.79127514},"labels":[],"label_agreement":null},{"id":"W3214161324","doi":"10.1007/s00208-021-02245-z","title":"Cannon–Thurston maps for $${{\\,\\textrm{CAT}\\,}}(0)$$ groups with isolated flats","year":2021,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Hausdorff Research Institute for Mathematics; Azrieli Foundation; Israel Science Foundation; Eidgenössische Technische Hochschule Zürich; Branco Weiss Fellowship – Society in Science; Deutsche Forschungsgemeinschaft","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.0485386919908801,"score_gpt":0.3034845677007991,"score_spread":0.254945875709919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3214161324","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75213027,0.0016682805,0.20738995,0.0064918892,0.0005408694,0.0018619671,0.00025439676,0.0007280012,0.028934348],"genre_scores_gemma":[0.721676,0.00009922924,0.19929834,0.0010109448,0.0005724723,0.0005024833,0.00025994302,0.0003096117,0.076270975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976769,0.000092167706,0.0005600435,0.00059703924,0.0003606574,0.0007131798],"domain_scores_gemma":[0.9975719,0.0007707351,0.00029502166,0.0007863853,0.00038168707,0.00019425878],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004997187,0.00039290191,0.00071208394,0.00021856345,0.00022610713,0.00007658184,0.0003570676,0.000247244,0.00090392685],"category_scores_gemma":[0.0006305926,0.00031858435,0.00020147843,0.00080347806,0.00011977953,0.00018229913,0.00013510001,0.00021874993,0.00020899084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003327438,0.001352047,0.0010454211,0.0022683786,0.0012099983,0.00045369993,0.0061505176,0.000011099038,0.003454498,0.75921917,0.21223752,0.012264926],"study_design_scores_gemma":[0.0041561956,0.0009713179,0.0007042301,0.00050450535,0.0006091335,0.0015212845,0.0022958948,0.0011644948,0.010973836,0.89793134,0.077637464,0.0015302835],"about_ca_topic_score_codex":0.000016838178,"about_ca_topic_score_gemma":0.00009792612,"teacher_disagreement_score":0.13871221,"about_ca_system_score_codex":0.000048638667,"about_ca_system_score_gemma":0.00018807981,"threshold_uncertainty_score":0.9999266},"labels":[],"label_agreement":null},{"id":"W3216226991","doi":"10.21468/scipostphys.14.2.021","title":"Learning knot invariants across dimensions","year":2023,"lang":"lv","type":"article","venue":"SciPost Physics","topic":"Geometric and Algebraic Topology","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","funders":"National Research Foundation; Simons Foundation","keywords":"Algorithm; Artificial intelligence; Computer science; Machine learning","score_opus":0.05795394855358316,"score_gpt":0.33887841916705214,"score_spread":0.280924470613469,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3216226991","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9896888,0.00020338925,0.0008660626,0.0013277059,0.0022444373,0.00038672445,0.00011855123,0.00060062436,0.004563703],"genre_scores_gemma":[0.97439146,0.00019047226,0.00040984788,0.00019286269,0.00084103236,0.000016754395,0.00008393246,0.000107156266,0.023766506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99677026,0.00022412003,0.00053394295,0.00063193287,0.00053099834,0.0013087717],"domain_scores_gemma":[0.9972877,0.0012572114,0.00031592348,0.0006972356,0.00018429734,0.00025762024],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007920793,0.00040733875,0.0006283892,0.0001606643,0.0009911353,0.00014410565,0.00047120923,0.00029680232,0.00034363565],"category_scores_gemma":[0.001393554,0.0004076134,0.00025095497,0.0035694675,0.00035198964,0.00021096368,0.00094990595,0.0008864755,0.014312271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001316498,0.002089216,0.017750189,0.0014103656,0.0016037982,0.0007201539,0.07390395,0.0034539287,0.006590069,0.66226053,0.102011025,0.12807511],"study_design_scores_gemma":[0.003954542,0.0013199387,0.023217643,0.000676011,0.0006166656,0.00006762648,0.023655329,0.017487293,0.004333137,0.8758716,0.046230245,0.0025699462],"about_ca_topic_score_codex":0.00007115477,"about_ca_topic_score_gemma":0.000017574326,"teacher_disagreement_score":0.21361107,"about_ca_system_score_codex":0.00007046585,"about_ca_system_score_gemma":0.00016860559,"threshold_uncertainty_score":0.9998376},"labels":[],"label_agreement":null},{"id":"W3217711053","doi":"10.4153/s000843952200042x","title":"Equivariant cobordisms between freely periodic knots","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Equivariant map; Homogeneous space; Pure mathematics; Torus; Homology (biology); Ball (mathematics); Mathematical analysis; Geometry","score_opus":0.04510424256562726,"score_gpt":0.2746436096316997,"score_spread":0.22953936706607245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3217711053","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63695407,0.00047972196,0.02149701,0.07803727,0.00093400513,0.0020965992,0.0009381947,0.00060950156,0.25845364],"genre_scores_gemma":[0.98112285,0.0000013067906,0.0051956354,0.001320849,0.00019845182,0.00014581464,0.000032025386,0.00006782374,0.0119152395],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974075,0.00021312242,0.00056357455,0.00041646368,0.0004739597,0.00092539896],"domain_scores_gemma":[0.9973055,0.001054725,0.00013078205,0.00059492845,0.00004845066,0.0008655854],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009242425,0.00027050453,0.0005698881,0.0004365885,0.0006711416,0.00006008528,0.00067089574,0.00012876856,0.16663036],"category_scores_gemma":[0.0014776615,0.0002679173,0.00017394793,0.00055858283,0.0001995404,0.00002059469,0.0002645081,0.0005674659,0.007071558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058458654,0.00009750362,0.0003047995,0.00009935467,0.00007954955,0.00025270192,0.0006759413,0.0000031410548,0.000014891011,0.8095197,0.1873816,0.0015649822],"study_design_scores_gemma":[0.00047475367,0.000151233,0.00051034644,0.000017242512,0.000080864294,0.00014650382,0.0008399616,0.000040856154,0.00001827655,0.6003054,0.39701182,0.00040280315],"about_ca_topic_score_codex":0.0013422121,"about_ca_topic_score_gemma":0.0003070535,"teacher_disagreement_score":0.3441688,"about_ca_system_score_codex":0.0003778781,"about_ca_system_score_gemma":0.00040949683,"threshold_uncertainty_score":0.9999773},"labels":[],"label_agreement":null},{"id":"W37860095","doi":"10.1007/978-0-8176-4719-3_4","title":"Fundamental Problems of Knot Theory","year":2008,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Geometric and Algebraic Topology","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":"Knot (papermaking); Contrast (vision); Mathematics; Computer science; Calculus (dental); Theoretical physics; Artificial intelligence; Physics; Engineering","score_opus":0.06879106325273503,"score_gpt":0.27080878786073853,"score_spread":0.2020177246080035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W37860095","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0028433262,0.0011198183,0.00025604348,0.00003898075,0.00044841316,0.0007540253,0.00009761486,0.00018978257,0.99425197],"genre_scores_gemma":[0.046640616,0.00016411391,0.0012611207,0.00015156467,0.00022240668,0.000028168475,0.000022399166,0.0002055644,0.951304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759626,0.000054649176,0.00086975156,0.00052910583,0.00051321165,0.00043698988],"domain_scores_gemma":[0.9976479,0.0005264263,0.0007338869,0.0008205096,0.00012708771,0.00014418483],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00035858699,0.000577842,0.0009971375,0.00057504885,0.00011434565,0.0000122719775,0.00047176948,0.0007000956,0.0018943475],"category_scores_gemma":[0.00009539626,0.00051842147,0.000433537,0.00003534282,0.0006623697,0.00003065636,0.00025597078,0.00055466103,0.00028401957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047563863,0.00006384939,0.000018973282,0.0003215255,0.00028789655,0.000058802416,0.0009787643,1.4510472e-7,0.00007284636,0.97813463,0.011515825,0.008499198],"study_design_scores_gemma":[0.0005873083,0.00024583415,0.000020342379,0.00025376256,0.00016086733,0.00014371041,0.00005081462,5.858756e-7,0.00045945885,0.64745784,0.35012567,0.0004938098],"about_ca_topic_score_codex":0.00001801537,"about_ca_topic_score_gemma":0.000019407435,"teacher_disagreement_score":0.33860984,"about_ca_system_score_codex":0.00008555483,"about_ca_system_score_gemma":0.00017875228,"threshold_uncertainty_score":0.9997267},"labels":[],"label_agreement":null},{"id":"W4167695","doi":"10.1023/a:1022624723429","title":"Test Rank for Some Free Polynilpotent Groups","year":2003,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Mathematics; Rank (graph theory); Combinatorics; Group (periodic table); Physics","score_opus":0.03667632316744775,"score_gpt":0.2729862119843219,"score_spread":0.23630988881687415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4167695","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9628256,0.00446723,0.015711289,0.0040673087,0.0007337303,0.0010108097,0.000044712342,0.00024973333,0.010889593],"genre_scores_gemma":[0.98948205,0.000085364394,0.0071578785,0.0011038971,0.0001302623,0.00004813637,0.000004096468,0.00002130196,0.0019670434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998983,0.000039227725,0.00023503152,0.00026942222,0.00010651626,0.0003667902],"domain_scores_gemma":[0.99824756,0.0012270253,0.00008062502,0.00030943475,0.000030337838,0.000104987594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031194236,0.00016713915,0.0002823175,0.00011597961,0.00014738261,0.000024344761,0.00016073453,0.00010859538,0.00024473752],"category_scores_gemma":[0.0023520961,0.00012933658,0.00009064591,0.00017722887,0.000101953025,0.00007193183,0.000049135924,0.00010275637,0.000028074599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006332865,0.00012136259,0.00095354684,0.00004524118,0.000023792538,0.0000073601145,0.00007176905,1.06633756e-7,0.00011310861,0.98972774,0.007521514,0.001408136],"study_design_scores_gemma":[0.0012201063,0.00027527535,0.0013365227,0.0000058842206,0.000051488027,0.000066314984,0.00017174587,0.000011306351,0.00048149345,0.9901198,0.0060793664,0.00018065947],"about_ca_topic_score_codex":0.000005732601,"about_ca_topic_score_gemma":0.000004547171,"teacher_disagreement_score":0.026656425,"about_ca_system_score_codex":0.000012900614,"about_ca_system_score_gemma":0.000021143036,"threshold_uncertainty_score":0.52741927},"labels":[],"label_agreement":null},{"id":"W4206726447","doi":"10.4153/s0008439521000977","title":"Generalized torsion for knots with arbitrarily high genus","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Torsion (gastropod); Twist; Combinatorics; Knot (papermaking); Torus; Trefoil knot; Pure mathematics; Knot theory; Geometry","score_opus":0.025494263785331553,"score_gpt":0.2529698976500073,"score_spread":0.22747563386467579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206726447","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88750416,0.00037578712,0.046699256,0.03675195,0.00040899141,0.0012562461,0.00013340442,0.00020342435,0.026666751],"genre_scores_gemma":[0.69169754,0.000010415776,0.27360648,0.0037250097,0.00040154264,0.00021230314,0.00007623081,0.00012666524,0.030143818],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983508,0.00006366313,0.00035475037,0.0003743709,0.00020720306,0.00064922817],"domain_scores_gemma":[0.9980064,0.00068046973,0.00008247604,0.00044512234,0.00018455173,0.0006009698],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025822068,0.00022883758,0.00047207324,0.00016374509,0.00017065511,0.000055020173,0.00019767857,0.00019228939,0.019240314],"category_scores_gemma":[0.0014372864,0.00018773475,0.0001192118,0.0003095633,0.000103637576,0.000019091793,0.000031620042,0.00016640166,0.0013854824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019339446,0.00007705832,0.0000140271595,0.00018516528,0.000060648606,0.00016518196,0.00010606967,0.0000012180482,0.00005383269,0.9340612,0.0646903,0.0005659197],"study_design_scores_gemma":[0.0015435296,0.00014496315,0.0000720285,0.000093620125,0.00012933758,0.00025458363,0.00020934238,0.00008216813,0.0014981023,0.70818394,0.28735432,0.00043405005],"about_ca_topic_score_codex":0.0006355255,"about_ca_topic_score_gemma":0.0016678667,"teacher_disagreement_score":0.22690724,"about_ca_system_score_codex":0.0001282581,"about_ca_system_score_gemma":0.00044586963,"threshold_uncertainty_score":0.99939203},"labels":[],"label_agreement":null},{"id":"W4211245511","doi":"10.4153/s0008439522000133","title":"Packable hyperbolic surfaces with symmetries","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Knut och Alice Wallenbergs Stiftelse; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Homogeneous space; Pure mathematics; Surface (topology); Hyperbolic geometry; Geometry; Algebraic geometry","score_opus":0.022080046057497513,"score_gpt":0.23024497862936338,"score_spread":0.20816493257186586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4211245511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78474236,0.000400709,0.0010324444,0.028108977,0.0001848826,0.00076320075,0.00011026715,0.00023874108,0.18441844],"genre_scores_gemma":[0.96956927,0.000003409421,0.005683814,0.0015846441,0.000049796905,0.00012140936,0.000008726931,0.000056611854,0.022922294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99817705,0.00012129874,0.00030322085,0.00031014415,0.0003884965,0.00069979846],"domain_scores_gemma":[0.9980416,0.0008635485,0.00008793312,0.00043042356,0.000072357114,0.0005041359],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005786462,0.0002120147,0.00041093255,0.00039205077,0.000501797,0.00004852768,0.00038651898,0.00006580613,0.08354998],"category_scores_gemma":[0.0011288226,0.00017711624,0.000071043134,0.00079871336,0.00018729543,0.00002209472,0.00010414982,0.00034489334,0.002910448],"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":[0.00001393501,0.00011397807,0.00027314315,0.00010096751,0.00006522941,0.00017196336,0.00041196193,0.00001739909,0.000006293721,0.86443317,0.13396096,0.0004310197],"study_design_scores_gemma":[0.0005785856,0.00029147114,0.00015427836,0.000022391785,0.00006850746,0.00042343285,0.0030214116,0.00008560393,0.000070714486,0.4626498,0.53217334,0.00046049754],"about_ca_topic_score_codex":0.0014331652,"about_ca_topic_score_gemma":0.0009080508,"teacher_disagreement_score":0.40178335,"about_ca_system_score_codex":0.00020503924,"about_ca_system_score_gemma":0.00029758603,"threshold_uncertainty_score":0.9978659},"labels":[],"label_agreement":null},{"id":"W4212855909","doi":"10.1088/1751-8113/43/16/165206","title":"On<i>E</i>-discretization of tori of compact simple Lie groups","year":2010,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Simple (philosophy); Lie group; Maximal torus; Mathematics; Torus; Discretization; Simple Lie group; Pure mathematics; Algebra over a field; Mathematical analysis; Lie algebra; Fundamental representation; Geometry; Philosophy; Epistemology","score_opus":0.01368600254699648,"score_gpt":0.28477086417988295,"score_spread":0.2710848616328865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212855909","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.961552,0.000012977404,0.034852393,0.00031361813,0.00010066437,0.00008069839,0.0000090182775,0.0000058838914,0.003072749],"genre_scores_gemma":[0.99457747,0.000006560359,0.0051894705,0.00002772901,0.00017109395,4.6307704e-7,8.177317e-7,0.0000151444865,0.000011263256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998556,0.000063346044,0.00071881746,0.00009463111,0.00040093937,0.00016626644],"domain_scores_gemma":[0.99675286,0.0021972905,0.0004980955,0.00019552617,0.0002172577,0.00013895698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064789626,0.00013972228,0.000640111,0.000086616485,0.000029093235,0.000010822344,0.00017611458,0.000105819214,0.00037024944],"category_scores_gemma":[0.0018424543,0.000090553505,0.00018071849,0.00020057458,0.00076826714,0.00006153276,0.00004146585,0.00035620312,0.0000031760121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007107421,0.0006823307,0.00010427111,0.00019991203,0.00006165415,0.0000033713493,0.00029245226,0.0000011710835,0.0024114794,0.99537987,0.00017073564,0.0006216546],"study_design_scores_gemma":[0.0005367573,0.0005515587,0.00011500813,0.00007940399,0.000099377554,0.00006076308,0.00012706689,0.0003875719,0.009081862,0.98886347,0.0000126711175,0.0000844916],"about_ca_topic_score_codex":4.0509093e-7,"about_ca_topic_score_gemma":1.0598657e-7,"teacher_disagreement_score":0.033025462,"about_ca_system_score_codex":0.0000058728024,"about_ca_system_score_gemma":0.000032988744,"threshold_uncertainty_score":0.40539718},"labels":[],"label_agreement":null},{"id":"W4212872005","doi":"10.1016/j.aam.2007.07.001","title":"Reflection groups and polytopes over finite fields, III","year":2007,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Geometric and Algebraic Topology","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 New Brunswick","funders":"","keywords":"Mathematics; Polytope; Reflection (computer programming); Reflection group; Combinatorics; Pure mathematics; Coxeter group; Computer science","score_opus":0.020491105614861168,"score_gpt":0.3195110390553648,"score_spread":0.29901993344050365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212872005","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41293517,0.0015856425,0.48719594,0.00010415764,0.00034051735,0.000565168,0.000002995563,0.00018441165,0.097086],"genre_scores_gemma":[0.89015,0.00046167555,0.10882459,0.00014550892,0.00009262587,0.00001929333,0.000002027458,0.000023332434,0.00028093497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872714,0.00000822209,0.00048257541,0.00024244728,0.00018974241,0.00034985025],"domain_scores_gemma":[0.99757445,0.0019030477,0.00018626252,0.0002565341,0.000015839909,0.00006388625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060315756,0.00018304742,0.00033703874,0.00026685413,0.0000736697,0.000020753738,0.000132329,0.00015368559,0.00007974452],"category_scores_gemma":[0.00034380768,0.00016306009,0.000033299704,0.00047039238,0.00010456476,0.00013470324,0.00008194615,0.0002321102,0.000010508097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032323405,0.0001699027,0.00039657328,0.00027069,0.000011066465,0.000011682941,0.0013577556,0.000010223247,0.000118978256,0.96387213,0.00012244385,0.033626225],"study_design_scores_gemma":[0.0007860187,0.000046535897,0.00025373217,0.00005676315,0.000019051968,0.000023568437,0.0013620469,0.00014932024,0.0009802297,0.9933835,0.002722651,0.00021655957],"about_ca_topic_score_codex":0.000004843789,"about_ca_topic_score_gemma":0.00014542106,"teacher_disagreement_score":0.47721484,"about_ca_system_score_codex":0.000034998135,"about_ca_system_score_gemma":0.0000094503675,"threshold_uncertainty_score":0.66493976},"labels":[],"label_agreement":null},{"id":"W4213443772","doi":"10.1214/21-aop1529","title":"SHANNON’S THEOREM FOR LOCALLY COMPACT GROUPS","year":2022,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Geometric and Algebraic Topology","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; Locally compact space; Conjecture; Locally compact group; Haar measure; Compact group; Boundary (topology); Pure mathematics; Poisson distribution; Random compact set; Discrete mathematics; Random walk; Mathematical analysis; Lie group; Random graph","score_opus":0.07728282974119724,"score_gpt":0.33453678105465956,"score_spread":0.2572539513134623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213443772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96781844,0.0008848439,0.01162462,0.008903448,0.0004189816,0.0029186918,0.0008970927,0.0002051822,0.006328677],"genre_scores_gemma":[0.98827857,0.00002785829,0.0024478093,0.0000342639,0.00010036573,0.0000050017097,0.00012745919,0.00003045664,0.008948226],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968591,0.00053514715,0.00025146944,0.00061719865,0.0009565783,0.0007805376],"domain_scores_gemma":[0.99699855,0.0012702616,0.00017174301,0.00080805086,0.00056671246,0.00018470496],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003759627,0.00017556967,0.00044676938,0.0009333227,0.0010449175,0.000017663075,0.0013085546,0.00007002501,0.0012646397],"category_scores_gemma":[0.001416725,0.00019239349,0.00018651572,0.0015279592,0.000805693,0.00016376459,0.0008829656,0.0006742677,0.000050397663],"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":[0.001620211,0.0024288092,0.0024252445,0.0008166011,0.0005430116,0.00023261618,0.013945071,0.0002021189,0.003183631,0.33913305,0.62291235,0.012557292],"study_design_scores_gemma":[0.0049376218,0.0034967172,0.0061331824,0.00005420412,0.00009628138,0.00016481327,0.03472158,0.00033602866,0.0023392232,0.4741518,0.47269914,0.00086944073],"about_ca_topic_score_codex":0.00057227904,"about_ca_topic_score_gemma":0.000069300266,"teacher_disagreement_score":0.15021321,"about_ca_system_score_codex":0.00033042417,"about_ca_system_score_gemma":0.00037440614,"threshold_uncertainty_score":0.99964833},"labels":[],"label_agreement":null},{"id":"W4225476106","doi":"10.4171/jems/1557","title":"A solution to Ringel’s circle problem","year":2024,"lang":"en","type":"preprint","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","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; Construct (python library); Combinatorics; Polynomial; Pure mathematics; Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.0419564922193282,"score_gpt":0.3003340685236654,"score_spread":0.2583775763043372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225476106","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5050533,0.0019140267,0.25664896,0.05714834,0.0074116434,0.0028826734,0.000067815556,0.00049690856,0.16837637],"genre_scores_gemma":[0.780612,0.000049652284,0.20812187,0.0008079171,0.0026346687,0.0000106682155,7.756533e-7,0.00021797071,0.0075444872],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969644,0.00045425602,0.0011954798,0.00028751759,0.00071536103,0.00038298266],"domain_scores_gemma":[0.9976565,0.00046747806,0.00081144745,0.000636976,0.00021235918,0.0002151986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0042110193,0.0003033755,0.0006899232,0.00009983766,0.00012727395,0.00014427776,0.0012313965,0.00018872926,0.00012743894],"category_scores_gemma":[0.0014273544,0.00019096652,0.0014931889,0.00039625465,0.00013149888,0.00003210732,0.0033834924,0.0020723941,0.00041729942],"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":[0.00003275038,0.0012891637,0.000039834817,0.010128649,0.002359216,0.00015308737,0.024611522,0.00030778273,0.0010679717,0.14148459,0.79949313,0.019032273],"study_design_scores_gemma":[0.00019935954,0.0000690087,0.00020538596,0.0015721405,0.00042899497,0.00023538082,0.0002911991,0.00022967177,0.00008525645,0.994174,0.00227988,0.00022974599],"about_ca_topic_score_codex":0.0000012643388,"about_ca_topic_score_gemma":4.3801455e-7,"teacher_disagreement_score":0.8526894,"about_ca_system_score_codex":0.00022064018,"about_ca_system_score_gemma":0.0001429396,"threshold_uncertainty_score":0.9003636},"labels":[],"label_agreement":null},{"id":"W4225527489","doi":"10.48550/arxiv.2111.07409","title":"Concordance invariants of null-homologous knots in thickened surfaces","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Cobordism; Null (SQL); Mathematics; Combinatorics; Concordance; Invariant (physics); Knot (papermaking); Signature (topology); Pure mathematics; Discrete mathematics; Geometry; Computer science; Bioinformatics; Mathematical physics; Biology","score_opus":0.1196052052692138,"score_gpt":0.22894650907291028,"score_spread":0.10934130380369649,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225527489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98727614,0.00026494634,0.008145038,0.000065045315,0.00047919282,0.00027474572,0.000025713463,0.000061240265,0.003407934],"genre_scores_gemma":[0.9959961,0.00031482466,0.0015560725,0.000040388724,0.000027651498,8.6770785e-7,0.000017005721,0.0000258584,0.0020212133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979744,0.00032968185,0.0004314121,0.0007885371,0.00009834132,0.00037763445],"domain_scores_gemma":[0.99753916,0.0008090101,0.000523247,0.000837438,0.0001955447,0.000095600524],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004401825,0.00031448682,0.00087902724,0.0004483932,0.0000466297,0.000017726989,0.00074777316,0.00058246485,0.0003932841],"category_scores_gemma":[0.0007222374,0.00036326647,0.00019380597,0.0010242232,0.00029224376,0.00009649921,0.0010519902,0.00073991413,0.000019874979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038420173,0.0018252353,0.1640605,0.00233943,0.0008838199,0.006691124,0.0033360617,0.049783725,0.0007337619,0.76820445,0.0010939623,0.000663747],"study_design_scores_gemma":[0.0035612846,0.0002363032,0.044499226,0.00092074537,0.00037978945,0.000051867755,0.0043858555,0.016446937,0.0027712195,0.92521006,0.00011097656,0.0014257246],"about_ca_topic_score_codex":0.0007861772,"about_ca_topic_score_gemma":0.0008589443,"teacher_disagreement_score":0.15700564,"about_ca_system_score_codex":0.00013654363,"about_ca_system_score_gemma":0.00039583116,"threshold_uncertainty_score":0.9998819},"labels":[],"label_agreement":null},{"id":"W4226028291","doi":"10.2140/agt.2024.24.3363","title":"Bounding the Kirby–Thompson invariant ofspun knots","year":2024,"lang":"en","type":"preprint","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Division of Mathematical Sciences; Colby College; National Science Foundation","keywords":"Invariant (physics); Mathematics; Bounding overwatch; Pure mathematics; Combinatorics; Artificial intelligence; Computer science; Mathematical physics","score_opus":0.053963124397689216,"score_gpt":0.32666868914391195,"score_spread":0.27270556474622276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226028291","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7786364,0.044031195,0.013609712,0.060828097,0.040602345,0.004381798,0.00031918476,0.0023942087,0.055197068],"genre_scores_gemma":[0.97738796,0.00072477874,0.0033578214,0.0016282235,0.0027765722,0.0004068273,0.00009844236,0.00028507045,0.013334305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9915217,0.0009266539,0.0020103035,0.0022827864,0.001095356,0.002163175],"domain_scores_gemma":[0.98809034,0.0072203386,0.001072094,0.0029100934,0.00028721677,0.0004199443],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.003378623,0.001398873,0.0022503657,0.0054042526,0.0006385159,0.00042297074,0.0029481882,0.0021975797,0.004455669],"category_scores_gemma":[0.008164589,0.0010257594,0.0010216725,0.0073973746,0.0012733903,0.00009664394,0.0070696557,0.005112022,0.0020558771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004010715,0.0003178542,0.00073293573,0.00094299513,0.0013371402,0.0004781144,0.001339865,0.000020896574,0.000029171459,0.9002217,0.07438992,0.020149319],"study_design_scores_gemma":[0.0006241629,0.00026542443,0.0019442191,0.00017130563,0.0009637786,0.0006775173,0.0007044452,0.00016636497,0.00015127106,0.9562438,0.03696939,0.0011182944],"about_ca_topic_score_codex":0.0008261349,"about_ca_topic_score_gemma":0.0002021851,"teacher_disagreement_score":0.19875157,"about_ca_system_score_codex":0.00054569,"about_ca_system_score_gemma":0.00088010204,"threshold_uncertainty_score":0.99987614},"labels":[],"label_agreement":null},{"id":"W4226264373","doi":"10.5539/cis.v15n2p38","title":"A Geometry Consisting of Singularities Containing Only Integers","year":2022,"lang":"en","type":"article","venue":"Computer and Information Science","topic":"Geometric and Algebraic Topology","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":"Axiom; Singularity; Decimal; Point (geometry); Gravitational singularity; Space (punctuation); Superposition principle; Extension (predicate logic); Interval (graph theory); Mathematics; Pure mathematics; Geometry; Mathematical analysis; Computer science; Combinatorics; Arithmetic","score_opus":0.027993621719003606,"score_gpt":0.28007969343087197,"score_spread":0.25208607171186836,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226264373","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82087886,0.00003146583,0.17429028,0.00010441651,0.00027229483,0.00006731751,0.000005170468,0.00002992708,0.004320236],"genre_scores_gemma":[0.9850655,0.0000015507943,0.014407475,0.0004925077,0.000011479761,0.0000019715314,0.0000014892648,0.0000011732831,0.000016819882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992636,0.000017690765,0.0002609443,0.00006823507,0.00026164216,0.00012792107],"domain_scores_gemma":[0.99934167,0.00025815069,0.00015754258,0.00009128084,0.000116114825,0.000035244615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090952433,0.00004692299,0.00011395198,0.0005050789,0.00033570683,0.000050741244,0.00017228733,0.000010811988,0.000049705854],"category_scores_gemma":[0.00037259408,0.000044278135,0.000017540922,0.00083655893,0.00033826704,0.0009366687,0.00032111723,0.000087645334,0.0000011757655],"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":[0.000008199066,0.000017943585,0.004240755,0.0000663948,0.0000070169867,7.736423e-7,0.008187053,0.00010585205,0.000032078788,0.88720506,0.00047260572,0.09965627],"study_design_scores_gemma":[0.006480999,0.00423681,0.11364561,0.00028474847,0.000101556725,0.0023869742,0.1351385,0.38330537,0.0028077012,0.24433579,0.10520201,0.0020739422],"about_ca_topic_score_codex":0.000010453101,"about_ca_topic_score_gemma":1.7310046e-7,"teacher_disagreement_score":0.6428693,"about_ca_system_score_codex":0.000026340329,"about_ca_system_score_gemma":0.00012283446,"threshold_uncertainty_score":0.25820193},"labels":[],"label_agreement":null},{"id":"W4226469167","doi":"10.1142/s0218196722500370","title":"Failure of the finitely generated intersection property for ascending HNN extensions of free groups","year":2022,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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; Intersection (aeronautics); Finitely-generated abelian group; Stallings theorem about ends of groups; Property (philosophy); Rank (graph theory); Context (archaeology); Class (philosophy); Free group; Group (periodic table); Pure mathematics; Combinatorics","score_opus":0.039603279517756974,"score_gpt":0.2984175173411997,"score_spread":0.2588142378234427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226469167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9399186,0.00005538782,0.057318103,0.0015448397,0.00096450927,0.00012481786,0.000021340678,0.000004693682,0.000047751557],"genre_scores_gemma":[0.99478686,0.0000049495497,0.004972405,0.00005727021,0.00010501076,0.000004264409,0.0000052683226,0.000007334094,0.000056619076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899024,0.000075690026,0.00046625754,0.00007472526,0.00032984684,0.00006326309],"domain_scores_gemma":[0.9983499,0.00030388014,0.00070725754,0.000061665174,0.00055677065,0.000020537349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003497289,0.00006410617,0.00016367668,0.00025981758,0.00008802065,0.000011486769,0.00025330402,0.00002718148,0.000043244654],"category_scores_gemma":[0.00041787126,0.000040782168,0.00011526711,0.000197704,0.00004831621,0.00008431962,0.00013206786,0.00013657221,9.089399e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023126057,0.0023786179,0.015560906,0.00039054107,0.0030125987,0.000042099797,0.014021136,0.026837373,0.07469413,0.7067103,0.0460972,0.10794253],"study_design_scores_gemma":[0.005243006,0.0016859137,0.019181006,0.0002150681,0.0002674557,0.0012108181,0.0072789704,0.031148419,0.012507531,0.9195974,0.0014043673,0.00026005317],"about_ca_topic_score_codex":0.00001097249,"about_ca_topic_score_gemma":0.0000063867656,"teacher_disagreement_score":0.21288714,"about_ca_system_score_codex":0.00004563889,"about_ca_system_score_gemma":0.000057653182,"threshold_uncertainty_score":0.16630486},"labels":[],"label_agreement":null},{"id":"W4233397573","doi":"10.2140/agt.2003.3.1275","title":"Correction to “Open books and configurations of symplectic surfaces”","year":2003,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Algebra over a field; Calculus (dental); Orthodontics; Medicine","score_opus":0.03985371239162994,"score_gpt":0.31513682576368107,"score_spread":0.27528311337205114,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233397573","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9084926,0.00061728875,0.016917039,0.0011906468,0.0023684306,0.0010449925,0.000013837695,0.00010449266,0.06925065],"genre_scores_gemma":[0.9884953,0.000045647277,0.0032018374,0.00047647642,0.000039623894,0.000057379173,0.0000050752233,0.000032902084,0.007645781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976719,0.00031814488,0.0006839682,0.0005450305,0.00022284607,0.0005580966],"domain_scores_gemma":[0.99538714,0.0033491524,0.00030659648,0.0005125949,0.0002129075,0.0002316006],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00090237166,0.000268895,0.00071389426,0.0018000923,0.0002165828,0.00004689963,0.00042244344,0.000200851,0.002292619],"category_scores_gemma":[0.009698157,0.00026065044,0.00008140412,0.0038270783,0.00027811577,0.00013987109,0.00020668654,0.00026094753,0.00007742655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033332562,0.00025994997,0.008248464,0.000048183272,0.00016661064,0.000009489009,0.0005392686,0.000007876574,0.00057447626,0.9388081,0.04425311,0.007051165],"study_design_scores_gemma":[0.0030604124,0.0025404466,0.057490423,0.00005343784,0.0003470336,0.0009237792,0.0023785573,0.00009891137,0.010744359,0.89002585,0.03126467,0.0010721356],"about_ca_topic_score_codex":0.00041256796,"about_ca_topic_score_gemma":0.00033730987,"teacher_disagreement_score":0.08000266,"about_ca_system_score_codex":0.00006572581,"about_ca_system_score_gemma":0.00017050943,"threshold_uncertainty_score":0.99998456},"labels":[],"label_agreement":null},{"id":"W4235965443","doi":"10.2996/kmj/1071674455","title":"Minimal H_3 actions and simple quotients of discrete 7-dimensional nilpotent groups","year":2002,"lang":"en","type":"article","venue":"Kodai Mathematical Journal","topic":"Geometric and Algebraic Topology","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; Nilpotent; Quotient; Discrete group; Dimension (graph theory); Pure mathematics; Simple (philosophy); Group (periodic table); Heisenberg group; Combinatorics; Nilpotent group; Physics","score_opus":0.06536963967212019,"score_gpt":0.3072193876549433,"score_spread":0.2418497479828231,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235965443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9786884,0.00018845814,0.015616738,0.0015623847,0.00018614884,0.00016147479,0.0000149195685,0.000034588295,0.003546842],"genre_scores_gemma":[0.97825027,0.00002749093,0.020602759,0.00007820722,0.00014703671,0.0000044697103,0.000001209335,0.00002393217,0.000864658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811965,0.00009068611,0.00071998144,0.00019041575,0.0004995272,0.00037973613],"domain_scores_gemma":[0.9982416,0.00084294914,0.00031071468,0.00021340759,0.00010425177,0.00028707762],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042693145,0.00019392342,0.00047589256,0.00022929575,0.00020448805,0.000043837394,0.00017885219,0.000119614946,0.004088792],"category_scores_gemma":[0.0007968544,0.00014284055,0.00017338294,0.00023764739,0.00023198189,0.00013848396,0.00012302335,0.00037303535,0.000085834195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009786451,0.0031414772,0.0023558745,0.00065369933,0.0006516161,0.00019435673,0.003437558,0.000017198841,0.0018279997,0.92194784,0.054898046,0.01077647],"study_design_scores_gemma":[0.0011679877,0.00033569222,0.0010792252,0.000105469466,0.00016750098,0.0025263813,0.00074784085,0.0034556037,0.00025778706,0.98905456,0.00084525644,0.00025670428],"about_ca_topic_score_codex":0.0000013337185,"about_ca_topic_score_gemma":6.696758e-7,"teacher_disagreement_score":0.06710671,"about_ca_system_score_codex":0.000032692686,"about_ca_system_score_gemma":0.000016129836,"threshold_uncertainty_score":0.9968216},"labels":[],"label_agreement":null},{"id":"W4238098811","doi":"10.1017/s1474748020000237","title":"COHERENCE, LOCAL INDICABILITY AND NONPOSITIVE IMMERSIONS","year":2020,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Geometric and Algebraic Topology","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","funders":"","keywords":"Mathematics; Endomorphism; Corollary; Conjecture; Unicode; Pure mathematics; Property (philosophy); Combinatorics; Computer science","score_opus":0.039886741522876544,"score_gpt":0.2836215727419608,"score_spread":0.24373483121908426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4238098811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.975828,0.00015235937,0.019318229,0.002895546,0.00023963505,0.00017860439,0.000014132795,0.0000049260852,0.0013685754],"genre_scores_gemma":[0.9643997,0.000017229046,0.03540469,0.00008770049,0.00004964769,6.407386e-7,1.5697773e-7,0.000008526197,0.000031709867],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840546,0.00005638023,0.00090657576,0.0000911345,0.00041422117,0.00012621892],"domain_scores_gemma":[0.9974781,0.0005405082,0.0014121329,0.00022081361,0.00022355015,0.0001248742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005957435,0.000129376,0.00061012513,0.000107638945,0.000059276605,0.0000068523073,0.00047231422,0.000095491785,0.00004437425],"category_scores_gemma":[0.0020778785,0.000077377765,0.00021258966,0.00037565897,0.00075471035,0.0001300168,0.000198529,0.00029613206,0.0000016397806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00067148526,0.006947407,0.013082386,0.01187275,0.0032455963,0.00014302602,0.048172805,0.00079028355,0.035492495,0.8386334,0.01948421,0.021464162],"study_design_scores_gemma":[0.0051361863,0.002190415,0.008612222,0.0021394168,0.0017175917,0.00084988924,0.014667311,0.0012248021,0.09338644,0.86777747,0.0016718747,0.0006263734],"about_ca_topic_score_codex":0.0000066076195,"about_ca_topic_score_gemma":0.0000025202085,"teacher_disagreement_score":0.05789395,"about_ca_system_score_codex":0.000021027578,"about_ca_system_score_gemma":0.00017467322,"threshold_uncertainty_score":0.3155374},"labels":[],"label_agreement":null},{"id":"W4241359085","doi":"10.22215/etd/2005-08096","title":"Monoid pictures and finite derivation type","year":2005,"lang":"en","type":"dissertation","venue":"","topic":"Geometric and Algebraic Topology","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; Canadian Heritage; Library and Archives Canada","funders":"","keywords":"Mathematics; Type (biology); Monoid; Pure mathematics; Algebra over a field","score_opus":0.029791384085008896,"score_gpt":0.3148974059110928,"score_spread":0.28510602182608386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4241359085","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87272817,0.0009829305,0.0006140938,0.0001934312,0.00064372196,0.00025388366,0.0000035795738,0.00014078812,0.124439426],"genre_scores_gemma":[0.81377304,0.00028516928,0.008946531,0.00022072303,0.00030663912,0.000011299953,0.00034249297,0.000041173975,0.17607294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993727,0.00001562387,0.00019926656,0.00017911408,0.00010414296,0.00012913616],"domain_scores_gemma":[0.99935985,0.0002770243,0.00011844635,0.00013905701,0.00006932852,0.000036326004],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006482671,0.00015243076,0.00021391692,0.00020739953,0.000049713854,0.000020317695,0.00007046018,0.00028051704,0.0011185145],"category_scores_gemma":[0.0005591191,0.00012607845,0.00003077743,0.00018219367,0.000013867863,0.000035283174,0.000011510955,0.00014996988,0.000049357393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015208237,0.00020718605,0.0016016248,0.0008992484,0.00028015632,0.0000106186735,0.0036665846,0.000009128029,0.00045209337,0.83352256,0.066969074,0.09222963],"study_design_scores_gemma":[0.0012350073,0.0003815327,0.054857276,0.00014505668,0.0004429187,0.000022556947,0.004936731,0.00030948073,0.004632121,0.8782302,0.053387597,0.0014195167],"about_ca_topic_score_codex":0.000015438882,"about_ca_topic_score_gemma":0.0002261473,"teacher_disagreement_score":0.09081011,"about_ca_system_score_codex":0.000011657235,"about_ca_system_score_gemma":0.000031150117,"threshold_uncertainty_score":0.9997946},"labels":[],"label_agreement":null},{"id":"W4245941235","doi":"10.1007/s11425-010-0085-8","title":"Outer automorphism groups of certain 1-relator groups","year":2010,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Geometric and Algebraic Topology","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; Outer automorphism group; Automorphism; Group of Lie type; Inner automorphism; Separable space; Pure mathematics; Class (philosophy); Conjugacy class; Combinatorics; Automorphism group; Group theory; Mathematical analysis","score_opus":0.021269015670539015,"score_gpt":0.2903054425196005,"score_spread":0.2690364268490615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4245941235","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97571987,0.000015269976,0.011967107,0.00043274852,0.00096428476,0.00029464503,0.000009462471,0.0001317411,0.010464897],"genre_scores_gemma":[0.903191,0.000002799861,0.09554878,0.000038796006,0.00009805072,0.000011715185,0.0000010788577,0.000027502761,0.0010803032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974924,0.000026205671,0.00067896256,0.00040266634,0.0008044776,0.00059532566],"domain_scores_gemma":[0.99771786,0.00049236545,0.00044835755,0.0009598482,0.00016323118,0.00021832279],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020686833,0.0002548296,0.0005087294,0.000516136,0.00025094234,0.00005623134,0.0011316562,0.00017184769,0.0006264097],"category_scores_gemma":[0.0030529483,0.00019588385,0.00014123175,0.0014957786,0.0015448106,0.0003082802,0.00030004705,0.0004739519,0.00011207882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000001928291,0.0003228382,0.00039580392,0.0001476571,0.000012851346,0.000009177938,0.0030226968,8.4555876e-7,0.01135974,0.9834384,0.00051526056,0.00077284354],"study_design_scores_gemma":[0.00037531767,0.000096711155,0.0028125003,0.000041763877,0.000042256455,0.00016482902,0.00071081857,0.0019581302,0.0069756024,0.9863195,0.00021202686,0.00029053524],"about_ca_topic_score_codex":0.000012597685,"about_ca_topic_score_gemma":0.000011679387,"teacher_disagreement_score":0.08358167,"about_ca_system_score_codex":0.000036991736,"about_ca_system_score_gemma":0.00017929991,"threshold_uncertainty_score":0.79879117},"labels":[],"label_agreement":null},{"id":"W4250082303","doi":"10.1007/978-3-030-05213-3_11","title":"Chord Diagrams","year":2019,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Geometric and Algebraic Topology","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":"Chord (peer-to-peer); Mathematics; Knot (papermaking); Pure mathematics; Computer science; Materials science","score_opus":0.05643556290419853,"score_gpt":0.28768048509539157,"score_spread":0.23124492219119303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250082303","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00039219865,0.0005499195,0.0014913701,0.00010740984,0.0006479962,0.00092629757,0.000026610916,0.00017535868,0.99568284],"genre_scores_gemma":[0.0019166035,0.00015511377,0.015219675,0.00012390714,0.0002723211,0.000025857003,0.000020380328,0.00024882727,0.98201734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971387,0.000023070901,0.0011518339,0.0005647929,0.00054600585,0.0005755919],"domain_scores_gemma":[0.99656874,0.001214324,0.00066980184,0.0013295076,0.00009004253,0.00012761376],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006044087,0.000694698,0.0014379862,0.00063780806,0.00005266309,0.00004822411,0.00069474004,0.0009468559,0.0017649023],"category_scores_gemma":[0.00056388776,0.00063159724,0.00034733664,0.00008820148,0.00022683557,0.000055520573,0.00030197846,0.0010125895,0.001997247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033701695,0.00008790521,0.0000186017,0.000865517,0.00008513098,0.00006796509,0.00045171747,7.35535e-7,0.0000024141084,0.9866258,0.009595353,0.0021954705],"study_design_scores_gemma":[0.00040290807,0.000073914736,0.0000053899294,0.0005886997,0.00010936192,0.000055357134,0.0000709826,0.000055145505,0.000013148347,0.89279,0.1052447,0.00059037644],"about_ca_topic_score_codex":0.000002803651,"about_ca_topic_score_gemma":0.000024817888,"teacher_disagreement_score":0.09564935,"about_ca_system_score_codex":0.00017448184,"about_ca_system_score_gemma":0.00016159733,"threshold_uncertainty_score":0.9996135},"labels":[],"label_agreement":null},{"id":"W4251978080","doi":"10.1088/1751-8121/ab4532","title":"The free energy of compressed lattice knots","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unknot; Polygon (computer graphics); Combinatorics; Lattice (music); Mathematics; Knot (papermaking); Physics; Materials science; Computer science","score_opus":0.012382483489456423,"score_gpt":0.25482138492782735,"score_spread":0.24243890143837094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4251978080","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93537265,0.00033746994,0.050181195,0.001982081,0.00022350972,0.0001342346,0.00000598086,0.000012682463,0.0117501775],"genre_scores_gemma":[0.99480534,0.000039322153,0.004768137,0.000053584,0.00013279148,0.0000011637424,1.3931859e-7,0.000014652614,0.00018485425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985757,0.00011701879,0.0006104496,0.000095313124,0.0003895099,0.00021200304],"domain_scores_gemma":[0.99396604,0.005049249,0.00036752963,0.00032376515,0.00018229579,0.00011110538],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00069789786,0.00013164004,0.00051457266,0.000042985594,0.000053645243,0.000026171194,0.00038457263,0.00007805482,0.00023722289],"category_scores_gemma":[0.0010593827,0.00006982377,0.00017114865,0.00016302078,0.0007786606,0.00005831663,0.00016362155,0.00022952903,0.000009512863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005830355,0.00023749194,0.00003061787,0.00010724272,0.000095666546,0.0000041372145,0.00014630759,5.072759e-7,0.00023118891,0.9968772,0.00030899124,0.0019023637],"study_design_scores_gemma":[0.00067961344,0.00026490338,0.000037154256,0.00008178041,0.00009238533,0.00008297292,0.00017066635,0.00084366935,0.0017911296,0.995629,0.0002466745,0.000080020225],"about_ca_topic_score_codex":4.797723e-7,"about_ca_topic_score_gemma":9.500892e-8,"teacher_disagreement_score":0.059432685,"about_ca_system_score_codex":0.0000076069855,"about_ca_system_score_gemma":0.00003258873,"threshold_uncertainty_score":0.28690073},"labels":[],"label_agreement":null},{"id":"W4252097410","doi":"10.1016/s0166-8641(99)00079-6","title":"Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds II","year":2000,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Fibration; Point (geometry); Space (punctuation); Klein bottle; Pure mathematics; Type (biology); Factorization; Combinatorics; Geometry; Algorithm; Computer science; Torus","score_opus":0.016009947231777958,"score_gpt":0.2838621497901448,"score_spread":0.26785220255836684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4252097410","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9426583,0.0009840687,0.000705333,0.0056529744,0.000017263532,0.00062258093,0.000013688506,0.00014219183,0.049203623],"genre_scores_gemma":[0.99082536,0.00047653104,0.0009668177,0.0005748674,0.00005111342,0.00021161415,0.0000048161182,0.000010454565,0.0068784184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992806,0.000057958143,0.00018747734,0.0002430614,0.000041371506,0.00018953191],"domain_scores_gemma":[0.99936295,0.00033770144,0.000040238134,0.00019391127,0.000014834185,0.00005039516],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023221981,0.00011258481,0.00018913069,0.00014621616,0.00023487017,0.0000075418934,0.00009418759,0.00017102061,0.0013317952],"category_scores_gemma":[0.000055868288,0.00009777022,0.00002027134,0.00017641444,0.00020627752,0.0000392617,0.000049711973,0.00016502518,0.000039615774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001681209,0.00011160991,0.00020553188,0.000016478169,0.0000089461755,0.0000017067027,0.0005804741,9.912745e-8,0.00009709028,0.9463381,0.0006280366,0.051995087],"study_design_scores_gemma":[0.0003223678,0.000261127,0.0030395074,0.000013252832,0.00002349136,0.00008879261,0.0004339342,0.000016326245,0.0010626536,0.9483612,0.046200342,0.00017695941],"about_ca_topic_score_codex":0.0000135571245,"about_ca_topic_score_gemma":0.000021860811,"teacher_disagreement_score":0.051818125,"about_ca_system_score_codex":0.000011413489,"about_ca_system_score_gemma":0.00001621379,"threshold_uncertainty_score":0.9995811},"labels":[],"label_agreement":null},{"id":"W4252526582","doi":"10.1090/fic/048/03","title":"Invariant tori for Hamiltonian PDE","year":2006,"lang":"en","type":"other","venue":"","topic":"Geometric and Algebraic Topology","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; Canada Research Chairs; National Science Foundation","keywords":"Torus; Invariant (physics); Mathematics; Pure mathematics; Hamiltonian (control theory); Mathematical physics; Geometry; Mathematical optimization","score_opus":0.038295383969438684,"score_gpt":0.302615482110055,"score_spread":0.2643200981406163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4252526582","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000004265042,0.00021138365,0.039298285,0.0002878104,0.0006117361,0.00046817644,0.000061062405,0.00029614873,0.95876116],"genre_scores_gemma":[0.000077282966,0.00001007665,0.06036612,0.0001683841,0.0008277053,0.000047679976,0.00003474086,0.00033764733,0.9381304],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991162,0.000015777645,0.00021083461,0.0002578132,0.000111662746,0.00028775336],"domain_scores_gemma":[0.99918306,0.00024484342,0.00015067788,0.00035198376,0.000019114788,0.000050340528],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00011561027,0.00021485398,0.00039887457,0.00030930145,0.00002750872,0.000014160393,0.00019918066,0.00041481666,0.00631385],"category_scores_gemma":[0.0001913024,0.00016998732,0.00011998419,0.00014681347,0.00004019126,0.000008262512,0.00004176233,0.00009606359,0.00021476646],"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":[0.0000010317635,0.000033144934,0.0000065459044,0.000077845274,0.00003489643,0.0000024064407,0.0000057828365,1.541825e-8,9.473025e-7,0.31517923,0.6843039,0.00035430628],"study_design_scores_gemma":[0.00031207234,0.000034782053,0.000008933951,0.000023284438,0.000045872133,0.0000044327335,0.000013384959,0.0000033123329,0.000012111342,0.14393637,0.8554151,0.00019033822],"about_ca_topic_score_codex":0.0005824191,"about_ca_topic_score_gemma":0.0012324561,"teacher_disagreement_score":0.17124286,"about_ca_system_score_codex":0.000025682819,"about_ca_system_score_gemma":0.000046817087,"threshold_uncertainty_score":0.9945945},"labels":[],"label_agreement":null},{"id":"W4254276048","doi":"10.1007/978-3-642-01742-1_17","title":"Small perturbations of the automorphisms of the torus","year":2009,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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":"Torus; Automorphism; Pure mathematics; Mathematics; Geometry","score_opus":0.061080468832641954,"score_gpt":0.24888502442641305,"score_spread":0.1878045555937711,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4254276048","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0008899108,0.00020936967,0.0002728628,0.0020954974,0.00034629798,0.00035247274,0.000032633227,0.000027941995,0.995773],"genre_scores_gemma":[0.03521756,0.000020914676,0.0015767929,0.00024988706,0.000058155354,0.0000020652892,0.0000015351363,0.000020128577,0.96285295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909174,0.000021838514,0.0004062465,0.00013657744,0.00022740035,0.0001161881],"domain_scores_gemma":[0.99825454,0.00042423062,0.00045567457,0.00072959525,0.00011372921,0.000022243205],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00012479734,0.0001672817,0.00036039573,0.00008936972,0.000057714326,0.0000031624472,0.000528935,0.00026131648,0.0020101797],"category_scores_gemma":[0.00028556818,0.00008038819,0.000330195,0.00008390544,0.000244118,0.000008414233,0.00014186451,0.00023564693,0.000012745233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[9.904346e-7,0.000024837675,0.000013585581,0.00002761603,0.0000474678,2.5043565e-7,0.00009544218,7.898306e-7,0.000014922046,0.98842174,0.008695651,0.0026567238],"study_design_scores_gemma":[0.00013074942,0.000043874767,0.0006454304,0.000076990036,0.000153039,0.000010211629,0.000020298463,0.000008763454,0.00028721098,0.93094164,0.06758074,0.00010104501],"about_ca_topic_score_codex":0.000026665826,"about_ca_topic_score_gemma":0.000058476868,"teacher_disagreement_score":0.05888509,"about_ca_system_score_codex":0.000023745897,"about_ca_system_score_gemma":0.00010199867,"threshold_uncertainty_score":0.99890214},"labels":[],"label_agreement":null},{"id":"W4280520539","doi":"10.1142/s0218216522400028","title":"Ordering braids: In memory of Patrick Dehornoy","year":2022,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Braid; Braid group; Mathematics; Cryptography; Braid theory; Set (abstract data type); Algebra over a field; Discrete mathematics; Pure mathematics; Computer science; Algorithm; History; Programming language","score_opus":0.03180254181230147,"score_gpt":0.29559874675291037,"score_spread":0.2637962049406089,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4280520539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99281085,0.0024136652,0.0030384867,0.00048055896,0.00014768893,0.00009507,0.000008612259,0.0000060960397,0.0009989964],"genre_scores_gemma":[0.99831706,0.00012829929,0.0008059796,0.000042793763,0.000041742278,0.0000048286292,6.508803e-7,0.000007999464,0.00065064564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988323,0.00032796792,0.0005080427,0.000075758806,0.00014890239,0.00010702352],"domain_scores_gemma":[0.9981223,0.0012263622,0.00040119526,0.00011815533,0.0000874395,0.000044557557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018917519,0.000064448555,0.00023054375,0.00048006265,0.00010854493,0.000005413508,0.000184536,0.000030085008,0.0004018163],"category_scores_gemma":[0.0014606016,0.000056992143,0.000063611355,0.0006168616,0.00004502955,0.00008158018,0.00006592451,0.00026711688,0.0000014068559],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000093937495,0.00042707223,0.00052210956,0.00006564549,0.000060665738,0.0000115735265,0.0028671718,0.00018153845,0.0022086771,0.98224676,0.00044313096,0.010871724],"study_design_scores_gemma":[0.0013488686,0.00042586462,0.0075451382,0.000039108756,0.00012349496,0.00040036588,0.013569042,0.00016356295,0.0014704871,0.9698882,0.00483495,0.00019092216],"about_ca_topic_score_codex":0.00000147876,"about_ca_topic_score_gemma":0.0000012042817,"teacher_disagreement_score":0.012358559,"about_ca_system_score_codex":0.000027186084,"about_ca_system_score_gemma":0.000072681534,"threshold_uncertainty_score":0.43996066},"labels":[],"label_agreement":null},{"id":"W4283736411","doi":"10.4153/s0008414x22000323","title":"Loops in the fundamental group of which are not represented by circle actions","year":2022,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","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; Symplectic geometry; Omega; Group action; Combinatorics; Symplectic manifold; Hamiltonian (control theory); Group (periodic table); Symplectic group; Homology (biology); Classical group; Algebra over a field; Pure mathematics; Lie group; Physics; Quantum mechanics","score_opus":0.05766511054362898,"score_gpt":0.2878943509902102,"score_spread":0.23022924044658122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283736411","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9942653,0.00020619221,0.00076652854,0.0029139165,0.00026127588,0.0001813536,0.00010892142,0.000004208026,0.0012922744],"genre_scores_gemma":[0.99818873,0.000006432086,0.0013405109,0.00017981295,0.00004032131,0.0000079583615,0.0000032684584,0.000016660106,0.0002163117],"study_design_codex":"not_applicable","study_design_gemma":"qualitative","domain_scores_codex":[0.99844885,0.0001699996,0.0006566394,0.000091230744,0.00037113842,0.0002621251],"domain_scores_gemma":[0.9980685,0.0006924175,0.00067748514,0.0002984712,0.000104261024,0.00015884866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012332612,0.000099545454,0.0003351421,0.00044411566,0.0001902977,0.000021944785,0.0005365321,0.000047780482,0.0006694665],"category_scores_gemma":[0.0011197042,0.0000851406,0.00010621243,0.0008885742,0.00008504274,0.00006457592,0.000037351652,0.00048727466,0.0000034896605],"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":[0.0000952848,0.0058051753,0.056818716,0.0014286593,0.001104522,0.0017056421,0.070670165,0.00048125707,0.0027697366,0.29274774,0.56256056,0.0038125585],"study_design_scores_gemma":[0.005697824,0.0017520002,0.032256484,0.0004714226,0.00060953834,0.01032492,0.45484433,0.00084089965,0.0012583922,0.43939868,0.051445547,0.0010999716],"about_ca_topic_score_codex":0.0008869184,"about_ca_topic_score_gemma":0.009479328,"teacher_disagreement_score":0.511115,"about_ca_system_score_codex":0.00017403688,"about_ca_system_score_gemma":0.00028928748,"threshold_uncertainty_score":0.7330189},"labels":[],"label_agreement":null},{"id":"W4286822343","doi":"10.48550/arxiv.1911.00801","title":"Fundamental inequality for hyperbolic Coxeter and Fuchsian groups\\n equipped with geometric distances","year":2019,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Coxeter group; Mathematics; Fuchsian group; Measure (data warehouse); Coxeter complex; Lebesgue measure; Pure mathematics; Reflection (computer programming); Hyperbolic triangle; Lebesgue integration; Class (philosophy); Longest element of a Coxeter group; Hyperbolic geometry; Artin group; Algebraic geometry; Computer science","score_opus":0.10559054616630321,"score_gpt":0.22286552545615115,"score_spread":0.11727497928984794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286822343","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7461546,0.00038272978,0.24876432,0.000111267764,0.0006091213,0.0018386999,0.00034657907,0.00009248003,0.0017002204],"genre_scores_gemma":[0.99155253,0.0006788874,0.002039548,0.0001294454,0.00020429408,0.000010690705,0.00010866945,0.00010400455,0.0051719425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99516356,0.00025224363,0.0007740386,0.002304189,0.00025144994,0.0012545461],"domain_scores_gemma":[0.99477214,0.0018120637,0.0011301234,0.001459995,0.0003129219,0.0005127536],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008491304,0.0010603606,0.001772771,0.0014534445,0.0004736291,0.00018484886,0.0010205453,0.0006926549,0.000488655],"category_scores_gemma":[0.00031403007,0.0010401739,0.00046467737,0.0024721562,0.00095382676,0.0004048796,0.0013351352,0.0009029168,0.0001095025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0040282463,0.0023883274,0.23478,0.00812314,0.0032644148,0.0004953032,0.0020924802,0.0044511124,0.00005030131,0.7354897,0.0005452606,0.0042916914],"study_design_scores_gemma":[0.043579962,0.010399769,0.0964087,0.0019602808,0.009430874,0.00037972734,0.02791295,0.10132984,0.00031975887,0.6834753,0.013529011,0.011273788],"about_ca_topic_score_codex":0.00019302999,"about_ca_topic_score_gemma":0.00015473482,"teacher_disagreement_score":0.24672477,"about_ca_system_score_codex":0.00044877306,"about_ca_system_score_gemma":0.00028786872,"threshold_uncertainty_score":0.9992049},"labels":[],"label_agreement":null},{"id":"W4287219068","doi":"10.4153/s0008439522000480","title":"A note on Lagrangian submanifolds in symplectic -manifolds","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"University of Cambridge","keywords":"Mathematics; Symplectic geometry; Lagrangian; Pure mathematics","score_opus":0.022166731927028716,"score_gpt":0.26114961010082544,"score_spread":0.2389828781737967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287219068","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7676435,0.00010209038,0.00077422534,0.03166108,0.0004385033,0.0012040879,0.00009300397,0.00021007172,0.19787344],"genre_scores_gemma":[0.98991215,0.000001658777,0.000918571,0.00240791,0.00006666908,0.00016877595,0.0000084999365,0.000057945967,0.00645783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975843,0.00022149508,0.00049199245,0.0004164609,0.00041025985,0.0008755224],"domain_scores_gemma":[0.9977418,0.001150877,0.000090437,0.0005004263,0.000028318043,0.0004881158],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009060556,0.0002559124,0.00045229078,0.0009037717,0.0002971709,0.00003516215,0.00047942737,0.00012528418,0.068908416],"category_scores_gemma":[0.0013482868,0.0002601173,0.00013391691,0.000900298,0.00007513473,0.000016206553,0.000104643346,0.00057507044,0.00516072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016769958,0.00023030512,0.00014444982,0.00008673331,0.000018537618,0.0005033212,0.0007036956,0.00001483795,0.000010698137,0.96043926,0.037158262,0.0006731469],"study_design_scores_gemma":[0.000930526,0.0003535103,0.0006459001,0.00004739129,0.00003743464,0.0002519334,0.0007506037,0.00022635503,0.000028750845,0.8511827,0.14502431,0.0005205993],"about_ca_topic_score_codex":0.0018757193,"about_ca_topic_score_gemma":0.0063328743,"teacher_disagreement_score":0.22226866,"about_ca_system_score_codex":0.00069901126,"about_ca_system_score_gemma":0.0002548893,"threshold_uncertainty_score":0.9999851},"labels":[],"label_agreement":null},{"id":"W4288050662","doi":"10.26493/1855-3974.2730.6ac","title":"Braid representatives minimizing the number of simple walks","year":2022,"lang":"en","type":"article","venue":"Ars Mathematica Contemporanea","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association; McMaster University","keywords":"Braid; Mathematics; Combinatorics; Simple (philosophy); Knot (papermaking); Permutation (music); Colored; Jones polynomial; Torus; Braid theory; Discrete mathematics; Knot theory; Braid group; Geometry","score_opus":0.06273831897571314,"score_gpt":0.3450033576025214,"score_spread":0.28226503862680824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4288050662","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9182941,0.00016579713,0.0030255592,0.004037989,0.00021251668,0.0008355852,0.000050199487,0.00013250427,0.07324578],"genre_scores_gemma":[0.99255526,0.000004516074,0.0038917686,0.00026879064,0.000029307112,0.00014105703,0.000007952239,0.000040088307,0.0030612492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997649,0.00039057736,0.0007752171,0.0003021533,0.00055187684,0.00033116215],"domain_scores_gemma":[0.9948745,0.0036617287,0.00054748915,0.00077407394,0.00007724359,0.00006501399],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013543445,0.00020535494,0.00055731635,0.00011106508,0.00034516715,0.000019830213,0.0006202177,0.000050562863,0.00418663],"category_scores_gemma":[0.0013020601,0.00014830263,0.00021897472,0.00058655563,0.0002843398,0.000083588835,0.0004158839,0.0003152985,0.000053116877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100710975,0.0006879486,0.004358834,0.00036895566,0.00036558104,0.00004959524,0.018311694,0.0000052666524,0.0007603088,0.9421622,0.031599145,0.0012297559],"study_design_scores_gemma":[0.0008619964,0.000087808454,0.0002489643,0.000020746049,0.00006839617,0.00018702699,0.014424492,0.00015439426,0.0011162497,0.97663057,0.005973127,0.00022622048],"about_ca_topic_score_codex":0.000062631145,"about_ca_topic_score_gemma":0.0000041868625,"teacher_disagreement_score":0.0742612,"about_ca_system_score_codex":0.000023523791,"about_ca_system_score_gemma":0.000061974104,"threshold_uncertainty_score":0.99672365},"labels":[],"label_agreement":null},{"id":"W4294359952","doi":"10.48550/arxiv.1804.02044","title":"Geometry of symplectic flux and Lagrangian torus fibrations","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Courtois Foundation; Instituto Serrapilheira; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; National Science Foundation","keywords":"Symplectic geometry; Isotopy; Submanifold; Symplectomorphism; Mathematics; Lagrangian; Holomorphic function; Torus; Pure mathematics; Polytope; Hamiltonian (control theory); Invariant (physics); Symplectic manifold; Gromov–Witten invariant; Mathematical analysis; Geometry; Mathematical physics; Symplectic representation","score_opus":0.09227283309115612,"score_gpt":0.22047351924456116,"score_spread":0.12820068615340502,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4294359952","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95234823,0.00010233357,0.04227808,0.000060478204,0.00028747114,0.00022178557,0.00004675825,0.00007843848,0.0045764344],"genre_scores_gemma":[0.9933388,0.00007084336,0.0011380195,0.000022289063,0.00009015994,5.1742495e-7,0.000017334683,0.000020635023,0.0053013964],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887156,0.00008602031,0.00022705171,0.0005021965,0.000064033426,0.0002491618],"domain_scores_gemma":[0.9984158,0.00044825295,0.00028000076,0.0005875258,0.00015389723,0.000114508555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019301554,0.00021965061,0.0004218208,0.00060139917,0.00010922631,0.000018167791,0.00033927785,0.000346923,0.00056117796],"category_scores_gemma":[0.00036478176,0.00024189496,0.00014137279,0.0006219198,0.0003082604,0.00007448241,0.00060211995,0.00028997473,0.00003715441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004892923,0.0002635313,0.016237175,0.0008986112,0.00051051064,0.000076683595,0.00065801473,0.0004268686,0.00008355783,0.9756017,0.004682137,0.0005123196],"study_design_scores_gemma":[0.00071555295,0.00020315978,0.006450802,0.00013187998,0.0005192619,0.000016984648,0.0004776387,0.0035318234,0.00039583366,0.9865339,0.00053167937,0.0004915041],"about_ca_topic_score_codex":0.00008632054,"about_ca_topic_score_gemma":0.00007887397,"teacher_disagreement_score":0.04114006,"about_ca_system_score_codex":0.00005994529,"about_ca_system_score_gemma":0.00010622372,"threshold_uncertainty_score":0.986419},"labels":[],"label_agreement":null},{"id":"W4294958148","doi":"10.1103/physreve.106.034114","title":"Selberg trace formula in hyperbolic band theory","year":2022,"lang":"en","type":"article","venue":"Physical review. E","topic":"Geometric and Algebraic Topology","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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Selberg trace formula; TRACE (psycholinguistics); Mathematics; Lattice (music); Mathematical analysis; Partition (number theory); Extension (predicate logic); Pure mathematics; Physics; Riemann hypothesis; Combinatorics","score_opus":0.03267671737591259,"score_gpt":0.36189043599363385,"score_spread":0.32921371861772125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4294958148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9639457,0.016928287,0.00021723959,0.0015128932,0.00011371885,0.00049276964,0.0000091142265,0.000057749465,0.016722538],"genre_scores_gemma":[0.99682987,0.00096545776,0.00013549009,0.0008262932,0.000093858056,0.00012993814,0.0000030387068,0.000018569403,0.000997466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998839,0.00025768875,0.00023562611,0.00020029573,0.00021568118,0.00025167744],"domain_scores_gemma":[0.99872595,0.00085396785,0.000081526465,0.00026948354,0.0000135122,0.000055529523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005877259,0.00011948912,0.00043191775,0.00006843897,0.000072733696,0.000004338312,0.00022903862,0.000015379248,0.0007526993],"category_scores_gemma":[0.00069265295,0.00009840997,0.00014219002,0.0006477418,0.000035041092,0.00004289694,0.00010928884,0.00029658046,0.00008650846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012041884,0.00063380087,0.0002851083,0.0005131831,0.000021018692,0.000015481082,0.00042163098,0.0000036875163,0.00022110918,0.96107954,0.0068625207,0.029930905],"study_design_scores_gemma":[0.00029429814,0.00008038152,0.0007142688,0.00007030067,0.00004918826,0.00001758749,0.00006767145,0.00005738079,0.00016005244,0.9362007,0.062135525,0.00015264118],"about_ca_topic_score_codex":0.000006796104,"about_ca_topic_score_gemma":0.0000023083228,"teacher_disagreement_score":0.055273004,"about_ca_system_score_codex":0.000043539745,"about_ca_system_score_gemma":0.000025990703,"threshold_uncertainty_score":0.824153},"labels":[],"label_agreement":null},{"id":"W4298378180","doi":"10.4153/cmb-2011-003-4","title":"Surgery on -Manifolds","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Cobordism; Mathematics; Pure mathematics; Topology (electrical circuits); Combinatorics","score_opus":0.0997517196472651,"score_gpt":0.2552763755276633,"score_spread":0.1555246558803982,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4298378180","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28085816,0.00004363662,0.0015225379,0.004796978,0.00033483203,0.00036621353,0.000019465564,0.00020630105,0.7118519],"genre_scores_gemma":[0.9836236,0.0000034749978,0.0043655215,0.0017938003,0.00010414448,0.000031230076,0.0000028836816,0.00004788073,0.010027424],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844366,0.000069648595,0.00038596985,0.0002730825,0.00019451189,0.0006331228],"domain_scores_gemma":[0.997433,0.0013128768,0.000076091295,0.00046441494,0.000045679502,0.0006679015],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00054628757,0.00020600848,0.0003975322,0.0004270816,0.00010775711,0.000018387937,0.0002501863,0.00017899803,0.11560639],"category_scores_gemma":[0.002404674,0.00017736321,0.0001528801,0.00026716414,0.0001215556,0.000015044474,0.000026384518,0.0002025905,0.038340654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053973217,0.000091261776,0.00013053758,0.000054223437,0.000022874578,0.0001439981,0.00022950207,2.001021e-8,9.339646e-7,0.8214804,0.17690241,0.0009384614],"study_design_scores_gemma":[0.0001379911,0.000067803034,0.0006938206,0.000066870205,0.000030306295,0.00007691056,0.00017622263,0.000005696892,0.0001557381,0.92332613,0.07494898,0.0003135313],"about_ca_topic_score_codex":0.00081496587,"about_ca_topic_score_gemma":0.00048109982,"teacher_disagreement_score":0.70276546,"about_ca_system_score_codex":0.000091749534,"about_ca_system_score_gemma":0.0001466619,"threshold_uncertainty_score":0.9624081},"labels":[],"label_agreement":null},{"id":"W4298553091","doi":"","title":"Shadow lemma on the product of Hadamard manifolds and applications","year":2008,"lang":"en","type":"book-chapter","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Geometric and Algebraic Topology","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":"Hadamard transform; Lemma (botany); Hadamard three-lines theorem; Mathematics; Product (mathematics); Shadow (psychology); Hadamard three-circle theorem; Pure mathematics; Hadamard product; Mathematical analysis; Geometry; Psychology; Biology; Ecology","score_opus":0.029506497128814025,"score_gpt":0.2323082076859988,"score_spread":0.20280171055718477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4298553091","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016968247,0.0016187311,0.009901471,0.012194004,0.00006004141,0.0009760733,0.0000820892,0.00011480958,0.97335595],"genre_scores_gemma":[0.1593476,0.002791507,0.013210687,0.00020166862,0.00008129984,0.00011692336,0.00013661596,0.00011070642,0.824003],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99788874,0.0006024576,0.0004674636,0.0004838656,0.00035182328,0.00020561826],"domain_scores_gemma":[0.9935308,0.0032179062,0.0005483989,0.001748551,0.00087123417,0.00008310703],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020222836,0.00027475803,0.00039331117,0.00022012446,0.00029975703,0.000041656804,0.00067113363,0.00021795506,0.00039693117],"category_scores_gemma":[0.0010536993,0.00022029626,0.00014241277,0.0001651129,0.00052243547,0.00003641617,0.00030482726,0.00043315848,0.000053875494],"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":[0.0000033532892,0.00010958996,0.00004124261,0.00006473993,0.000058137553,0.0000014156582,0.0006661315,1.8368715e-7,0.00003990188,0.9728593,0.008349567,0.01780642],"study_design_scores_gemma":[0.00046283304,0.0000022552892,0.0006961249,0.0009025432,0.00014499949,0.000080466205,0.000068124216,0.00007273401,0.0056098127,0.41054162,0.58085734,0.0005611249],"about_ca_topic_score_codex":0.000095330994,"about_ca_topic_score_gemma":0.00019689546,"teacher_disagreement_score":0.5725078,"about_ca_system_score_codex":0.00003641112,"about_ca_system_score_gemma":0.00010218878,"threshold_uncertainty_score":0.8983421},"labels":[],"label_agreement":null},{"id":"W4299643248","doi":"10.48550/arxiv.1509.06437","title":"Hyperbolic Dimension and Decomposition Complexity","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Decomposition; Dimension (graph theory); Metric (unit); Mathematics; Hilbert space; Metric space; Space (punctuation); Decomposition method (queueing theory); Pure mathematics; Algebra over a field; Discrete mathematics; Computer science","score_opus":0.22036735928348142,"score_gpt":0.25704592375976715,"score_spread":0.03667856447628573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299643248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98131794,0.000116029514,0.013833522,0.00011326916,0.00028882918,0.00022981413,0.000021713879,0.00014241385,0.003936448],"genre_scores_gemma":[0.9968561,0.00008560487,0.0020291512,0.000052526197,0.000072264345,4.1673619e-7,0.00003253174,0.000020249761,0.00085113756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998811,0.00013594714,0.00016818853,0.000573975,0.00006538611,0.000245478],"domain_scores_gemma":[0.99881965,0.00018443033,0.00019290768,0.00048073218,0.00013637403,0.00018592276],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00024871313,0.00024288855,0.00041545343,0.00027173877,0.000110603156,0.000023279785,0.00024981497,0.000319136,0.00008450464],"category_scores_gemma":[0.00010889161,0.0002636118,0.00009327755,0.00027234075,0.00024249122,0.00006963249,0.00090844,0.0004057123,0.00005285146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000104020495,0.0002910592,0.0048255073,0.00027522247,0.00017985418,0.0002370705,0.00038154892,0.0012690201,0.00007309509,0.9873339,0.0044299625,0.000599718],"study_design_scores_gemma":[0.0006284993,0.000061032435,0.0019432657,0.00004972527,0.0001744624,0.00002404084,0.00013321324,0.013819392,0.000053297186,0.98253864,0.00026018603,0.00031423688],"about_ca_topic_score_codex":0.00014153279,"about_ca_topic_score_gemma":0.000027827358,"teacher_disagreement_score":0.015538158,"about_ca_system_score_codex":0.00012497627,"about_ca_system_score_gemma":0.000070649716,"threshold_uncertainty_score":0.9999816},"labels":[],"label_agreement":null},{"id":"W4306311879","doi":"10.48550/arxiv.2210.07044","title":"Cofinal elements and fractional Dehn twist coefficients","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","keywords":"Mathematics; Twist; Genus; Boundary (topology); Homeomorphism (graph theory); Combinatorics; Mapping class group; Action (physics); Surface (topology); Class (philosophy); Bar (unit); Translation (biology); Pure mathematics; Mathematical analysis; Geometry; Physics; Computer science; Botany","score_opus":0.11336373706886432,"score_gpt":0.2391046218917653,"score_spread":0.12574088482290097,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4306311879","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9624687,0.000059752212,0.030247727,0.000070111884,0.00065967283,0.00027477363,0.000108019056,0.00009762249,0.00601363],"genre_scores_gemma":[0.98988545,0.00007172855,0.00080486183,0.000083605,0.00006456897,0.00000178545,0.00006169733,0.000022709184,0.009003599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853325,0.000102638674,0.0002272389,0.0006908115,0.0001390447,0.00030700737],"domain_scores_gemma":[0.9987653,0.00031083525,0.00029702604,0.00042118644,0.00007513622,0.00013050235],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027837418,0.0002472274,0.00032959663,0.00037258537,0.00026660186,0.000027788588,0.000412956,0.00019063606,0.0027053568],"category_scores_gemma":[0.00016209886,0.0002985296,0.000120680445,0.00042503228,0.0001627215,0.000055889363,0.0014285952,0.0006801445,0.00004577372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034749613,0.0013556535,0.10807905,0.00048387007,0.0008189947,0.0010039109,0.00040870797,0.012227407,0.000013711861,0.8539887,0.020097496,0.0011749878],"study_design_scores_gemma":[0.0045795175,0.00054459454,0.02789552,0.000106330685,0.0010058418,0.000091410126,0.0024768563,0.03933047,0.000025344467,0.8481787,0.07385144,0.0019140102],"about_ca_topic_score_codex":0.00007259877,"about_ca_topic_score_gemma":0.000018724899,"teacher_disagreement_score":0.08018353,"about_ca_system_score_codex":0.0002104475,"about_ca_system_score_gemma":0.00012399069,"threshold_uncertainty_score":0.99994665},"labels":[],"label_agreement":null},{"id":"W4307211189","doi":"10.1007/s10955-022-03006-1","title":"Adsorption of Lattice Polymers with Quenched Topologies","year":2022,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Polymer; Adsorption; Polymer adsorption; Topology (electrical circuits); Lattice (music); Lattice model (finance); Mathematics; Materials science; Statistical physics; Physics; Combinatorics; Chemistry; Physical chemistry","score_opus":0.036005984913502,"score_gpt":0.3066379598097566,"score_spread":0.2706319748962546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4307211189","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4699459,0.00013418435,0.52710396,0.0006566375,0.00027479898,0.00010176073,0.00008764091,0.00001566145,0.0016794672],"genre_scores_gemma":[0.9587453,0.0000072080506,0.040989548,0.000060227,0.00007634131,0.0000016484506,0.0000020058878,0.00000966334,0.00010803148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989215,0.00010619342,0.00036402285,0.00007187398,0.00039330637,0.00014307108],"domain_scores_gemma":[0.9980887,0.0011596294,0.00047668736,0.000100330886,0.000121368466,0.0000532486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026944635,0.00008098141,0.00031230858,0.00007786633,0.000051514573,0.0000051083202,0.00014720418,0.000022193286,0.0005951923],"category_scores_gemma":[0.00040840387,0.00006077083,0.0000542402,0.00028913884,0.0001804932,0.000062504354,0.000053072617,0.00029155466,0.0000014953275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020001271,0.00035971656,0.0005725138,0.00006141112,0.00012351383,0.000041882282,0.0004160947,0.00016439047,0.0005981155,0.9895026,0.0018431735,0.00611654],"study_design_scores_gemma":[0.0008349364,0.0016621662,0.0016227087,0.000013558637,0.00017444584,0.0001556028,0.0024594057,0.00015765455,0.0008638499,0.9916573,0.00028230104,0.0001160604],"about_ca_topic_score_codex":0.000015240858,"about_ca_topic_score_gemma":7.597335e-7,"teacher_disagreement_score":0.48879942,"about_ca_system_score_codex":0.000047270205,"about_ca_system_score_gemma":0.00009821598,"threshold_uncertainty_score":0.6516938},"labels":[],"label_agreement":null},{"id":"W4308614342","doi":"10.1016/j.jalgebra.2023.08.034","title":"Lattices, Garside structures and weakly modular graphs","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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 de Montréal","funders":"Université Grenoble Alpes","keywords":"Mathematics; Quotient; Combinatorics; Lattice (music); Categorical variable; Euclidean geometry; Pure mathematics; Geometry","score_opus":0.03433994358591226,"score_gpt":0.29988633334153825,"score_spread":0.265546389755626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308614342","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99677294,0.000682918,0.00023657463,0.0013233632,0.0003800536,0.00005351372,0.0000026674336,0.00003692627,0.0005110142],"genre_scores_gemma":[0.99434274,0.00025995355,0.0045542438,0.00013726256,0.00017404878,6.1574787e-7,7.200199e-7,0.000019374702,0.00051105756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887294,0.000059222857,0.00042032584,0.00011193437,0.00029547059,0.0002401357],"domain_scores_gemma":[0.9988126,0.00045845794,0.00034528947,0.00014957861,0.000103111764,0.00013094945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005194253,0.00012330603,0.00033062484,0.0005701315,0.00007286716,0.00003463329,0.00019058508,0.000096453536,0.00016854538],"category_scores_gemma":[0.0006923423,0.000092696006,0.00011414617,0.00058743154,0.00008733637,0.0001289323,0.000067693545,0.00026237976,0.000017015016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007071743,0.00009425232,0.008410856,0.00020614655,0.0005297813,0.00060281635,0.0013968236,0.00003146027,0.0025587417,0.91238856,0.058326203,0.015383645],"study_design_scores_gemma":[0.00046224686,0.00015355404,0.03554532,0.000025315023,0.00007815627,0.00043587567,0.00043753922,0.00004339342,0.0004716765,0.9599078,0.002330906,0.00010821689],"about_ca_topic_score_codex":0.00000460453,"about_ca_topic_score_gemma":0.0000030588124,"teacher_disagreement_score":0.055995297,"about_ca_system_score_codex":0.00001268305,"about_ca_system_score_gemma":0.000039160543,"threshold_uncertainty_score":0.37800336},"labels":[],"label_agreement":null},{"id":"W4308913650","doi":"10.18642/jmsaa_7100122262","title":"A SIMPLE PROOF THAT MINIMAL NORMAL SUBGROUPS OF FINITE GROUPS ARE DIRECT PRODUCTS OF ISOMORPHIC SIMPLE GROUPS","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematical Sciences Advances and Applications","topic":"Geometric and Algebraic Topology","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":"Corollary; Simple (philosophy); Mathematics; Classification of finite simple groups; Simple group; Normal subgroup; Permutation group; Combinatorics; Group (periodic table); Direct product; Sporadic group; Group theory; Permutation (music); Free product; Discrete mathematics; Pure mathematics; Group of Lie type; Physics","score_opus":0.04138693607350359,"score_gpt":0.3035550140374689,"score_spread":0.2621680779639653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308913650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9613575,0.003081468,0.031808387,0.0012603356,0.00007665075,0.00079671293,0.00016039825,0.00001918164,0.0014393998],"genre_scores_gemma":[0.9904285,0.00013465786,0.009202,0.000030509358,0.000077902856,0.00006771111,0.0000022949619,0.000008557623,0.000047876427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978063,0.000092026254,0.0008744154,0.00023917588,0.0007056694,0.00028240198],"domain_scores_gemma":[0.9964722,0.0015221203,0.001492151,0.0002215607,0.00018196015,0.00011002913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014533371,0.0001535867,0.00061763416,0.0002463556,0.0003321266,0.000020124173,0.0005156088,0.00003805903,0.00027989617],"category_scores_gemma":[0.00064657896,0.000111953224,0.000127457,0.0011754454,0.0006561587,0.00027022616,0.00021999078,0.00021373662,0.0000011898807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002376311,0.0055918717,0.028772712,0.0043719243,0.00023858264,0.000022197422,0.0030372208,0.0016440594,0.0030684327,0.9307812,0.0023359538,0.019898254],"study_design_scores_gemma":[0.00065093196,0.0011788219,0.0016450393,0.00006168017,0.00013741881,0.000244977,0.006268806,0.0007259261,0.00223894,0.9771136,0.00948513,0.00024871013],"about_ca_topic_score_codex":0.000003117979,"about_ca_topic_score_gemma":0.000004384268,"teacher_disagreement_score":0.04633246,"about_ca_system_score_codex":0.00002218903,"about_ca_system_score_gemma":0.000080955346,"threshold_uncertainty_score":0.456532},"labels":[],"label_agreement":null},{"id":"W4309717454","doi":"10.4153/s0008439522000698","title":"Decidability problem for exponential equations in finitely presented groups","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Undecidable problem; Mathematics; Decidability; Group (periodic table); Variable (mathematics); Exponential function; Finitely-generated abelian group; Decision problem; Generating set of a group; Turing; Word problem (mathematics education); Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; Arithmetic; Algorithm; Geometry","score_opus":0.05270103706155105,"score_gpt":0.29023175885028724,"score_spread":0.2375307217887362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309717454","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80155325,0.00011979036,0.1198429,0.04380273,0.00045724888,0.0065070675,0.00060478685,0.00023605925,0.026876178],"genre_scores_gemma":[0.9811318,4.6133485e-7,0.014079213,0.00039911267,0.000060984974,0.0015340473,0.000042320913,0.00003808095,0.0027139927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979426,0.00019417443,0.0005908181,0.00035440605,0.00026906756,0.0006489291],"domain_scores_gemma":[0.995978,0.0031388628,0.000101590114,0.00037210286,0.00006267562,0.0003467681],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011728236,0.00017157213,0.0003591628,0.0004632648,0.00031306318,0.000030482606,0.00036759628,0.00009279164,0.028992819],"category_scores_gemma":[0.004817474,0.00017902603,0.00013216281,0.00056145736,0.000100393074,0.000022499156,0.000117594835,0.00030112092,0.00046004908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026627382,0.00035982113,0.00019271279,0.00017003222,0.000024121842,0.000024113146,0.0006627598,0.000037215843,0.000012105539,0.9678148,0.030133985,0.0005416918],"study_design_scores_gemma":[0.00082109537,0.00011790071,0.00020120008,0.000014691588,0.000025906487,0.000018528479,0.000765811,0.0011693204,0.000013817178,0.95259005,0.044037662,0.00022400172],"about_ca_topic_score_codex":0.0008812146,"about_ca_topic_score_gemma":0.003433205,"teacher_disagreement_score":0.17957856,"about_ca_system_score_codex":0.0003692346,"about_ca_system_score_gemma":0.00028939097,"threshold_uncertainty_score":0.9718948},"labels":[],"label_agreement":null},{"id":"W4311156428","doi":"10.1038/s42005-022-01071-2","title":"Topologically protected vortex knots and links","year":2022,"lang":"en","type":"article","venue":"Communications Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Suomalainen Tiedeakatemia; Academy of Finland","keywords":"Vortex; Physics; Sequence (biology); Ideal (ethics); Topological conjugacy; Abelian group; Simple (philosophy); Topology (electrical circuits); Scheme (mathematics); Theoretical physics; Classical mechanics; Mathematics; Pure mathematics; Combinatorics; Chemistry; Mechanics; Mathematical analysis","score_opus":0.10350101533665158,"score_gpt":0.3379104723173538,"score_spread":0.23440945698070226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311156428","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87946016,0.0026140602,0.034366965,0.022489812,0.0003137391,0.002126574,0.00011897851,0.0009072114,0.057602473],"genre_scores_gemma":[0.9725446,0.00006338575,0.025994156,0.0002640388,0.000029255934,0.00021840793,0.000021960168,0.0000128820575,0.0008512981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991963,0.00022414023,0.00018181626,0.0001381967,0.0001140467,0.00014548708],"domain_scores_gemma":[0.9980134,0.0005760693,0.000107157895,0.0012074662,0.00005569021,0.000040248313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020766912,0.00008635079,0.00015481631,0.000050946554,0.0006527749,0.000014781955,0.00069039,0.00005769272,0.00017021956],"category_scores_gemma":[0.000256213,0.0000845511,0.00003995435,0.00050225866,0.00022231607,0.000036904727,0.0013132751,0.0006298529,0.000012344118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003941888,0.0003464777,0.000483907,0.0000110405435,0.000027701772,8.6544094e-7,0.00056437263,0.0000041565054,0.0001868242,0.9766596,0.0011255294,0.020585611],"study_design_scores_gemma":[0.00027018157,0.00010494861,0.002168376,0.0000029933112,0.00002749923,0.000015987353,0.0004827324,0.0007052691,0.000038505343,0.9671236,0.028916696,0.00014317394],"about_ca_topic_score_codex":0.00001528069,"about_ca_topic_score_gemma":0.000004148058,"teacher_disagreement_score":0.09308443,"about_ca_system_score_codex":0.000030525985,"about_ca_system_score_gemma":0.000036955615,"threshold_uncertainty_score":0.5020682},"labels":[],"label_agreement":null},{"id":"W4311319998","doi":"10.1088/1742-6596/2381/1/012110","title":"Applications of Group Theory","year":2022,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Group (periodic table); Group theory; Axiom; Order (exchange); Algebra over a field; Mathematics; Finite group; Algebraic structure; Element (criminal law); Pure mathematics; Theoretical physics; Physics; Quantum mechanics; Geometry","score_opus":0.031191033356540394,"score_gpt":0.2825609738069886,"score_spread":0.2513699404504482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311319998","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15965153,0.0003051611,0.83093286,0.0007516492,0.00036489876,0.00022892999,0.000044610595,0.000022757842,0.00769761],"genre_scores_gemma":[0.9955804,0.000020948775,0.0036781982,0.000027997945,0.00010602,0.0000111529125,0.0000012803172,0.0000071092604,0.000566901],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992103,0.00009621043,0.00031729566,0.000056043275,0.00022785891,0.00009229783],"domain_scores_gemma":[0.99881953,0.00027343087,0.0005466303,0.00014185523,0.00018737436,0.000031170955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003987399,0.00006492108,0.0002386599,0.000086019965,0.000093237104,0.000007690327,0.00026616122,0.000017029522,0.0005376686],"category_scores_gemma":[0.00008405024,0.000056088258,0.00009326614,0.0003057326,0.00012293791,0.00011947414,0.00009498259,0.00020810169,0.0000016285885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029529643,0.00014484068,0.00011402215,0.000025569316,0.00004489544,0.0000017494679,0.0007077423,0.0000044591857,0.00090276886,0.95191175,0.00030196382,0.04581072],"study_design_scores_gemma":[0.0001668929,0.00026843106,0.00013762273,0.0000055568894,0.00003742826,0.000045902754,0.003987129,0.0000018336007,0.0053170286,0.98487496,0.0051031807,0.00005404472],"about_ca_topic_score_codex":0.0000016750234,"about_ca_topic_score_gemma":6.8719254e-7,"teacher_disagreement_score":0.83592886,"about_ca_system_score_codex":0.000016872638,"about_ca_system_score_gemma":0.00010227401,"threshold_uncertainty_score":0.58870935},"labels":[],"label_agreement":null},{"id":"W4312566061","doi":"10.1017/fmp.2022.20","title":"Tits Alternative for -dimensional complexes","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Pi","topic":"Geometric and Algebraic Topology","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":"Narodowe Centrum Nauki","keywords":"Computer science","score_opus":0.05766845289480993,"score_gpt":0.31746330682939095,"score_spread":0.259794853934581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4312566061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8808759,0.00024984407,0.10362872,0.002391478,0.0010132947,0.0017433371,0.00075808424,0.00016292816,0.0091764135],"genre_scores_gemma":[0.8701086,0.0000012835628,0.12612897,0.00015369609,0.00005156422,0.00014602252,0.000025884927,0.00003766011,0.0033463163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874806,0.000033344393,0.00042034997,0.00016366798,0.00036591236,0.0002686434],"domain_scores_gemma":[0.9979008,0.001366754,0.0003345964,0.00025643123,0.00009578602,0.000045675493],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00044835804,0.00013015345,0.00037313145,0.00018111522,0.00018841625,0.0000054979,0.0003079249,0.000033088014,0.0010282964],"category_scores_gemma":[0.00038179875,0.000118479125,0.00014807795,0.00021016499,0.00007678852,0.000033068078,0.00027919165,0.00010984449,0.000014135907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015809579,0.0005486765,0.000047894046,0.0001991693,0.00009280312,0.0000020818181,0.00094992324,0.00013397491,0.0003423176,0.96572864,0.0316316,0.00030711168],"study_design_scores_gemma":[0.0006894295,0.00033013252,0.000011617206,0.000015203512,0.000040400977,0.00003301741,0.0022338345,0.0036975169,0.0022198106,0.9846834,0.0059067747,0.00013888358],"about_ca_topic_score_codex":0.000011441948,"about_ca_topic_score_gemma":0.000005279741,"teacher_disagreement_score":0.025724826,"about_ca_system_score_codex":0.00003709931,"about_ca_system_score_gemma":0.000040434305,"threshold_uncertainty_score":0.9998849},"labels":[],"label_agreement":null},{"id":"W4315486610","doi":"10.4153/s0008439523000012","title":"Hyperbolically embedded subgroups and quasi-isometries of pairs","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Mathematics; Pure mathematics","score_opus":0.03125170085437764,"score_gpt":0.26809450588668754,"score_spread":0.2368428050323099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4315486610","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9669336,0.00011221848,0.0007545031,0.0077081877,0.000087848624,0.00035006687,0.0000440708,0.00018146481,0.02382804],"genre_scores_gemma":[0.9911182,0.000028629309,0.0046685757,0.00032555606,0.000055058845,0.000026608035,0.0000070327205,0.000041449402,0.0037288817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983401,0.000061328916,0.0004917514,0.00027440448,0.00024901095,0.000583441],"domain_scores_gemma":[0.99702764,0.0018745395,0.00009789243,0.00036120755,0.00008005189,0.0005586824],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000717486,0.00019430615,0.0005446163,0.0007667122,0.00010028082,0.00002611496,0.00023722625,0.00018794223,0.0070484346],"category_scores_gemma":[0.004776483,0.00017183811,0.00009439388,0.0011234389,0.00035354972,0.000020219744,0.000076849756,0.00017571839,0.0029869357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009896699,0.0000840784,0.00036181175,0.00046452438,0.00005887455,0.00006617965,0.0010470521,3.9648307e-7,0.000048359827,0.94179267,0.053567775,0.0024983739],"study_design_scores_gemma":[0.0004974493,0.00017316514,0.0014157711,0.00008283792,0.000058084097,0.00005587938,0.0019218235,0.00019107318,0.00021918865,0.9653272,0.02972604,0.0003314634],"about_ca_topic_score_codex":0.00037558685,"about_ca_topic_score_gemma":0.00039313204,"teacher_disagreement_score":0.024184609,"about_ca_system_score_codex":0.000040637973,"about_ca_system_score_gemma":0.00012290059,"threshold_uncertainty_score":0.9977894},"labels":[],"label_agreement":null},{"id":"W4316650541","doi":"10.4153/s0008439523000073","title":"Characterizing slopes for the -pretzel knot","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Knot (papermaking); Tricolorability; Pure mathematics; Combinatorics; Knot theory; Knot invariant","score_opus":0.06242663159603035,"score_gpt":0.29768596065607106,"score_spread":0.2352593290600407,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4316650541","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2879025,0.00049886963,0.0687121,0.53066623,0.0021774778,0.006141453,0.00048141173,0.0016093162,0.10181062],"genre_scores_gemma":[0.9113048,0.000043847223,0.011885885,0.006338681,0.0008347578,0.00080538535,0.000040873027,0.00017173991,0.06857407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9985041,0.000040735464,0.00033608076,0.00024187515,0.00016406481,0.0007131431],"domain_scores_gemma":[0.9952059,0.0039058884,0.00007159776,0.00042532492,0.000060744114,0.00033056873],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00083337096,0.0001764166,0.00029712473,0.00024015155,0.00033767713,0.00006559117,0.00041964333,0.00012926922,0.009010352],"category_scores_gemma":[0.004358709,0.00012211454,0.00014280024,0.0004642762,0.00013700765,0.000017886927,0.000057867877,0.00016988078,0.012140217],"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":[0.000005040645,0.00001980019,0.000017505621,0.00017827461,0.0000577387,0.000023620707,0.00053096376,6.7650194e-7,0.000047537487,0.7019354,0.29162756,0.0055559096],"study_design_scores_gemma":[0.00023915106,0.00003113888,0.00020637165,0.00003963066,0.00004788877,0.000026251153,0.00057105534,0.00034685124,0.00009228494,0.39901364,0.59919286,0.00019291345],"about_ca_topic_score_codex":0.00020089366,"about_ca_topic_score_gemma":0.00030629322,"teacher_disagreement_score":0.62340224,"about_ca_system_score_codex":0.000064270025,"about_ca_system_score_gemma":0.000119031945,"threshold_uncertainty_score":0.99189556},"labels":[],"label_agreement":null},{"id":"W4317212664","doi":"10.1007/s00208-022-02529-y","title":"VH-ification","year":2023,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Humanities; Pure mathematics; Philosophy","score_opus":0.08691702705937718,"score_gpt":0.33281059543672875,"score_spread":0.24589356837735157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4317212664","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7381976,0.02375719,0.035083838,0.048501894,0.009162858,0.0047290763,0.00066774664,0.005607357,0.13429241],"genre_scores_gemma":[0.6704963,0.00544614,0.016569175,0.0009349856,0.0036081458,0.0003810596,0.00048001806,0.00046014888,0.30162403],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968068,0.00018885883,0.00088879507,0.0006141882,0.0006026843,0.00089868763],"domain_scores_gemma":[0.99697435,0.0010492967,0.000465471,0.0011142693,0.00016972632,0.00022690247],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014797742,0.0004378687,0.0007057839,0.00076765125,0.00027785037,0.00011890081,0.0006545819,0.00040967,0.0035400991],"category_scores_gemma":[0.001648973,0.0004126903,0.00029121272,0.00242813,0.00018867859,0.00017949563,0.00031019057,0.00042669498,0.08266383],"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":[0.000018064524,0.0003987924,0.00040411163,0.0014324374,0.0005437773,0.000096574266,0.0058218106,0.000007873245,0.00035821748,0.33413666,0.6389918,0.01778989],"study_design_scores_gemma":[0.0009693076,0.00019970091,0.0030676692,0.00038326014,0.00057195197,0.00004640028,0.0018405981,0.003368268,0.0014421629,0.5652108,0.4219391,0.0009607971],"about_ca_topic_score_codex":0.000013862902,"about_ca_topic_score_gemma":0.0000026257426,"teacher_disagreement_score":0.23107412,"about_ca_system_score_codex":0.000044354696,"about_ca_system_score_gemma":0.00009895009,"threshold_uncertainty_score":0.9998325},"labels":[],"label_agreement":null},{"id":"W4319453167","doi":"10.48550/arxiv.2302.02540","title":"Linear programming bounds for hyperbolic surfaces","year":2023,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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; Sorbonne Université; Université de Montréal","keywords":"Eigenvalues and eigenvectors; Mathematics; Multiplicity (mathematics); Genus; Upper and lower bounds; Laplace operator; Infinity; Mathematical analysis; Pure mathematics; Combinatorics; Physics; Biology","score_opus":0.22569955353906168,"score_gpt":0.38026402929918146,"score_spread":0.15456447576011978,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319453167","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99094856,0.0004020532,0.003424939,0.0013759322,0.0018187356,0.0010296293,0.000047374557,0.0006735805,0.00027919761],"genre_scores_gemma":[0.95457023,0.00011174493,0.0283445,0.00011295645,0.0010269044,0.00046853704,0.000116605566,0.0001721184,0.015076413],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782884,0.000057057536,0.0005578243,0.0006750757,0.00023063354,0.0006505667],"domain_scores_gemma":[0.9976213,0.0010210858,0.00033241272,0.0007459167,0.00015926153,0.00012002367],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00066680176,0.000380381,0.0007139136,0.00029213383,0.00017549709,0.000057630343,0.00055652333,0.00055089814,0.000071829476],"category_scores_gemma":[0.0020088207,0.0003513893,0.00032747234,0.0003979869,0.00014048668,0.000041404848,0.00071727997,0.000597094,0.00034231142],"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":[0.0001381199,0.0013886594,0.8541001,0.009123326,0.002395145,0.00014411306,0.004738977,0.0003296386,0.00040255574,0.05050239,0.047250066,0.029486917],"study_design_scores_gemma":[0.002559377,0.0006277316,0.08904398,0.0007028895,0.0010603946,0.000039677965,0.0018146582,0.001749251,0.0018522703,0.64582735,0.2519213,0.0028011461],"about_ca_topic_score_codex":0.0001327569,"about_ca_topic_score_gemma":0.00006225435,"teacher_disagreement_score":0.76505613,"about_ca_system_score_codex":0.000058464037,"about_ca_system_score_gemma":0.00015843473,"threshold_uncertainty_score":0.9998938},"labels":[],"label_agreement":null},{"id":"W4321337830","doi":"10.1093/qmath/haad002","title":"Exotic smooth structures on connected sums of S2×S2","year":2023,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Integer (computer science); Construct (python library); Combinatorics; Mathematics; Connected sum; Simply connected space; Computer science","score_opus":0.07422761682091893,"score_gpt":0.31309089702670356,"score_spread":0.23886328020578462,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321337830","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952029,0.00010487779,0.002704963,0.000702218,0.0004064027,0.00018460944,0.000009001744,0.000048992046,0.00063601404],"genre_scores_gemma":[0.9951714,0.000025309739,0.0042027435,0.00005274273,0.00016858037,0.0000020350205,0.0000010315,0.000037307833,0.00033883873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99771285,0.00016424086,0.0010761967,0.000108662236,0.00061685126,0.00032117995],"domain_scores_gemma":[0.9946553,0.0033162613,0.0012134013,0.00048821757,0.00023709178,0.00008969204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013619657,0.00021674238,0.0006856685,0.0004658944,0.00009138424,0.00002803209,0.0006282106,0.000112876805,0.00023959506],"category_scores_gemma":[0.0010218543,0.0001252845,0.0002479976,0.00074501,0.0001823099,0.000065460285,0.000028216024,0.00037324787,0.000067684916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012759736,0.0006992599,0.00019108279,0.0010838154,0.00082909607,0.0002656417,0.03548376,0.00010830461,0.0023382858,0.92664814,0.018351998,0.013873041],"study_design_scores_gemma":[0.00086698576,0.0015100425,0.0009176277,0.00018821209,0.00019245944,0.0004610338,0.011293989,0.0003580139,0.0011062536,0.9828031,0.00014183283,0.00016044258],"about_ca_topic_score_codex":0.0000036134184,"about_ca_topic_score_gemma":0.0000034496964,"teacher_disagreement_score":0.05615499,"about_ca_system_score_codex":0.000027054166,"about_ca_system_score_gemma":0.00006604926,"threshold_uncertainty_score":0.5108954},"labels":[],"label_agreement":null},{"id":"W4321462354","doi":"10.21468/scipost.report.5367","title":"Report on scipost_202201_00036v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Research Foundation; Simons Foundation","keywords":"Environmental science","score_opus":0.0907736340751888,"score_gpt":0.38211468528501197,"score_spread":0.2913410512098232,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321462354","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000021512198,0.011836064,0.000092292554,0.12194769,0.009116122,0.000867865,0.00021351964,0.00033140316,0.85557353],"genre_scores_gemma":[0.0000160576,0.0017707783,0.0009966831,0.009468707,0.0004707871,0.00016200333,0.0009121552,0.000078592,0.9861242],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99694973,0.00014212778,0.0007911693,0.00070107315,0.0010020997,0.00041377108],"domain_scores_gemma":[0.996966,0.00083138526,0.0005516222,0.0014099041,0.0001264268,0.000114640425],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013242553,0.00039284097,0.0010523049,0.00044190005,0.000157253,0.00001622257,0.0006053791,0.0002453919,0.22157887],"category_scores_gemma":[0.003869543,0.00031824107,0.00037791446,0.0007815568,0.000062269944,0.000019384042,0.00046448028,0.0010343652,0.0008841483],"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":[0.0000021729318,0.000107632644,0.0000024011547,0.0012866519,0.00008398815,0.00063421996,0.0000060864645,9.7183246e-8,4.237984e-8,0.04331599,0.951992,0.0025687164],"study_design_scores_gemma":[0.00010689787,0.00013825725,0.0000040424493,0.00031436377,0.00019322526,0.00063602516,0.000014294837,4.0555486e-7,0.0000019411516,0.0386451,0.9596136,0.00033181196],"about_ca_topic_score_codex":0.000100757934,"about_ca_topic_score_gemma":0.000022186214,"teacher_disagreement_score":0.22069472,"about_ca_system_score_codex":0.00015469086,"about_ca_system_score_gemma":0.00030874976,"threshold_uncertainty_score":0.999927},"labels":[],"label_agreement":null},{"id":"W4321462355","doi":"10.21468/scipost.report.5468","title":"Report on scipost_202201_00036v1","year":2022,"lang":"en","type":"peer-review","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Research Foundation; Simons Foundation","keywords":"Computer science","score_opus":0.0907736340751888,"score_gpt":0.38211468528501197,"score_spread":0.2913410512098232,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321462355","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000021512198,0.011836064,0.000092292554,0.12194769,0.009116122,0.000867865,0.00021351964,0.00033140316,0.85557353],"genre_scores_gemma":[0.0000160576,0.0017707783,0.0009966831,0.009468707,0.0004707871,0.00016200333,0.0009121552,0.000078592,0.9861242],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99694973,0.00014212778,0.0007911693,0.00070107315,0.0010020997,0.00041377108],"domain_scores_gemma":[0.996966,0.00083138526,0.0005516222,0.0014099041,0.0001264268,0.000114640425],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013242553,0.00039284097,0.0010523049,0.00044190005,0.000157253,0.00001622257,0.0006053791,0.0002453919,0.22157887],"category_scores_gemma":[0.003869543,0.00031824107,0.00037791446,0.0007815568,0.000062269944,0.000019384042,0.00046448028,0.0010343652,0.0008841483],"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":[0.0000021729318,0.000107632644,0.0000024011547,0.0012866519,0.00008398815,0.00063421996,0.0000060864645,9.7183246e-8,4.237984e-8,0.04331599,0.951992,0.0025687164],"study_design_scores_gemma":[0.00010689787,0.00013825725,0.0000040424493,0.00031436377,0.00019322526,0.00063602516,0.000014294837,4.0555486e-7,0.0000019411516,0.0386451,0.9596136,0.00033181196],"about_ca_topic_score_codex":0.000100757934,"about_ca_topic_score_gemma":0.000022186214,"teacher_disagreement_score":0.22069472,"about_ca_system_score_codex":0.00015469086,"about_ca_system_score_gemma":0.00030874976,"threshold_uncertainty_score":0.999927},"labels":[],"label_agreement":null},{"id":"W4322625092","doi":"10.1090/pspum/105","title":"Cyclic Cohomology at 40: Achievements and Future Prospects","year":2023,"lang":"en","type":"book","venue":"Proceedings of symposia in pure mathematics","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"","keywords":"Cohomology; Mathematics; Pure mathematics","score_opus":0.01893223344634492,"score_gpt":0.26227666079543993,"score_spread":0.243344427349095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322625092","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40357062,0.002473978,0.000016752818,0.0021119125,0.00119886,0.004449708,0.00013756445,0.00061815174,0.58542246],"genre_scores_gemma":[0.009975545,0.00270412,0.017195046,0.00013288936,0.0012900189,0.00038541784,0.00006934473,0.00058426237,0.96766335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966063,0.00000876757,0.0013460844,0.0007143089,0.0006531737,0.000671378],"domain_scores_gemma":[0.9973764,0.0005690433,0.0013644047,0.0002891038,0.0002471741,0.00015388054],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007412746,0.0007077328,0.0017083803,0.001020835,0.00010063418,0.000043712622,0.0006084094,0.0011688867,0.00012581942],"category_scores_gemma":[0.00041065385,0.0006462753,0.00018234787,0.00050490384,0.00035346134,0.00010902921,0.0007537636,0.0007540949,0.00009328088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031123316,0.00028395708,0.0011828273,0.009251739,0.00025685612,0.000034403267,0.0027806556,4.9427435e-8,0.00042919334,0.95188695,0.03361673,0.00024549817],"study_design_scores_gemma":[0.0009772703,0.00028675437,0.0003430627,0.00095219165,0.00030957194,0.00027005034,0.0005708219,0.000014104842,0.00027181624,0.9850097,0.010358035,0.0006366268],"about_ca_topic_score_codex":0.0000021798187,"about_ca_topic_score_gemma":0.000011684513,"teacher_disagreement_score":0.3935951,"about_ca_system_score_codex":0.00031999458,"about_ca_system_score_gemma":0.00010208545,"threshold_uncertainty_score":0.99959886},"labels":[],"label_agreement":null},{"id":"W4324379403","doi":"10.4153/s000843952300019x","title":"Concordance of spatial graphs","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Concordance; Graph; Combinatorics; Discrete mathematics","score_opus":0.03171504462412474,"score_gpt":0.2740430093787996,"score_spread":0.24232796475467486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4324379403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9126233,0.00005631452,0.0042533847,0.008423137,0.00028686572,0.00046451075,0.000053431846,0.00023544452,0.073603645],"genre_scores_gemma":[0.9914449,0.0000067747237,0.0023026036,0.0002496265,0.000049081562,0.00002354371,0.0000052342043,0.000029023184,0.0058892225],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986415,0.000050326336,0.00040819708,0.00020240455,0.0002069522,0.000490657],"domain_scores_gemma":[0.99818003,0.0009330372,0.00009683383,0.0003460191,0.00006842827,0.00037566252],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00044702116,0.00014222464,0.0003788513,0.00042702127,0.000067120265,0.000010457933,0.0002669289,0.000121225,0.015689367],"category_scores_gemma":[0.002316822,0.00012969942,0.00011126456,0.000631559,0.00021673237,0.000010652578,0.000041772317,0.00014029193,0.0081046745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003728466,0.000030168885,0.00041943177,0.00019089367,0.000028856446,0.000060273545,0.00020187623,7.4875885e-7,0.00003457042,0.91029054,0.087035365,0.0017035581],"study_design_scores_gemma":[0.00028639243,0.000056232282,0.001272732,0.00005505053,0.000023477518,0.000022279619,0.00023624464,0.000087696986,0.00023382281,0.96502227,0.032527458,0.00017635044],"about_ca_topic_score_codex":0.002106552,"about_ca_topic_score_gemma":0.001104784,"teacher_disagreement_score":0.07882163,"about_ca_system_score_codex":0.00003926683,"about_ca_system_score_gemma":0.00013851245,"threshold_uncertainty_score":0.9926676},"labels":[],"label_agreement":null},{"id":"W4361192884","doi":"10.48550/arxiv.2007.13822","title":"Existence of mASD connections on 4-manifolds with cylindrical ends","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Natural Sciences and Engineering Research Council of Canada","keywords":"Corollary; Degenerate energy levels; Mathematics; Pure mathematics; Geology; Physics","score_opus":0.17428587114273814,"score_gpt":0.23038013547877786,"score_spread":0.05609426433603973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4361192884","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83296,0.000021789812,0.11373878,0.00049669464,0.00034816435,0.0003883894,0.0000640473,0.00021744298,0.051764652],"genre_scores_gemma":[0.9951884,0.00003577253,0.0019782705,0.000067773595,0.00007086817,0.000001037385,0.000010696757,0.000026483503,0.0026206656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986194,0.0000952338,0.00023180692,0.0006901734,0.00010912137,0.00025427627],"domain_scores_gemma":[0.99818724,0.00054459594,0.00033128625,0.0006517953,0.00013062103,0.00015447839],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00010543408,0.00027674777,0.00053554913,0.00033433153,0.00008038656,0.00001130221,0.0005247594,0.00032115844,0.00027282117],"category_scores_gemma":[0.00023690269,0.00026644417,0.00019051137,0.0008033011,0.00022780913,0.00004039622,0.00044296854,0.0006482205,0.00006252909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012607747,0.0002301978,0.0013035659,0.00017393257,0.00019185591,0.00030033814,0.00017291751,0.0024770945,0.000007679243,0.9945673,0.000372779,0.00007629612],"study_design_scores_gemma":[0.0016162796,0.0011992092,0.0024585582,0.00027532416,0.0006865479,0.000036976515,0.0011944133,0.012854611,0.00046766517,0.97748214,0.0009075802,0.00082066987],"about_ca_topic_score_codex":0.000071184746,"about_ca_topic_score_gemma":0.000031541353,"teacher_disagreement_score":0.16222839,"about_ca_system_score_codex":0.00009471933,"about_ca_system_score_gemma":0.00014374215,"threshold_uncertainty_score":0.9999788},"labels":[],"label_agreement":null},{"id":"W4362671135","doi":"10.1142/s0219199723500104","title":"Symplectic non-convexity of toric domains","year":2023,"lang":"en","type":"article","venue":"Communications in Contemporary Mathematics","topic":"Geometric and Algebraic Topology","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":"Centre International de Mathématiques et Informatique de Toulouse; Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Convexity; Mathematics; Symplectic geometry; Regular polygon; Toric variety; Boundary (topology); Pure mathematics; Symplectomorphism; Invariant (physics); Mathematical analysis; Geometry","score_opus":0.2659000326127575,"score_gpt":0.40813203848272295,"score_spread":0.14223200586996543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362671135","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8438203,0.0011138447,0.014118355,0.003149716,0.00039569856,0.0015463892,0.000047754278,0.00054081,0.13526717],"genre_scores_gemma":[0.9699817,0.0001986649,0.028649712,0.000032136766,0.000017740376,0.00009393745,0.000022720673,0.000032630953,0.00097076717],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824715,0.00016056625,0.00092866423,0.00018129003,0.00022594398,0.0002564146],"domain_scores_gemma":[0.9932348,0.0037538954,0.0003905133,0.0024447974,0.00011642797,0.000059566897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001321288,0.00017325468,0.00053724647,0.000688247,0.00011959821,0.000013494009,0.0013021851,0.00013515679,0.000051005874],"category_scores_gemma":[0.0018739018,0.00016821169,0.00011096185,0.002494755,0.00030750505,0.00012033739,0.00061812554,0.00028803793,0.00010381613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007645246,0.0010798208,0.008076696,0.00073383877,0.00010102523,0.0000134171,0.0069986023,0.0000049341056,0.00022982617,0.96857554,0.0134060355,0.0007726092],"study_design_scores_gemma":[0.0007752962,0.00007011954,0.002261196,0.00018459666,0.00002699458,0.000015124948,0.0031322055,0.0048634307,0.00024495518,0.9864641,0.0017213587,0.00024063479],"about_ca_topic_score_codex":0.00003803658,"about_ca_topic_score_gemma":0.000043294767,"teacher_disagreement_score":0.1342964,"about_ca_system_score_codex":0.000061316976,"about_ca_system_score_gemma":0.00015697375,"threshold_uncertainty_score":0.68594736},"labels":[],"label_agreement":null},{"id":"W4367297538","doi":"10.1515/jgth-2022-0126","title":"The number of locally invariant orderings of a group","year":2023,"lang":"en","type":"article","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Uncountable set; Mathematics; Invariant (physics); Locally compact space; Group (periodic table); Compact space; Pure mathematics; Discrete mathematics; Combinatorics; Countable set","score_opus":0.02242439463575594,"score_gpt":0.29475687786535437,"score_spread":0.2723324832295984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4367297538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9766195,0.00025487,0.01832497,0.0004592556,0.00045847133,0.00009901675,0.0000034411426,0.000018849249,0.0037616661],"genre_scores_gemma":[0.9968616,0.0001643259,0.0020563377,0.000053435702,0.0001148347,0.0000016108513,3.3975869e-7,0.000019759247,0.00072776154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983844,0.00021434411,0.0007747064,0.000075684104,0.00033733808,0.00021348924],"domain_scores_gemma":[0.99588466,0.002795419,0.0008591186,0.00022840194,0.00017206182,0.000060333918],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035386838,0.00010524632,0.0003942962,0.0001856985,0.00006333021,0.000009632246,0.0004111104,0.00008429178,0.00022783104],"category_scores_gemma":[0.00186062,0.00006319047,0.00020151382,0.0006274946,0.00024726873,0.000074019765,0.000119019845,0.0002473817,0.000019769006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020418738,0.00013249823,0.0009306097,0.000094577605,0.00019888862,0.000039519484,0.0006698074,0.0000033830856,0.0010673093,0.9880604,0.0018386871,0.006760099],"study_design_scores_gemma":[0.00067728915,0.00024179429,0.0039056134,0.00008790658,0.00007208632,0.00023700454,0.0017616311,0.000026400196,0.00032873984,0.99109733,0.0014889825,0.00007520163],"about_ca_topic_score_codex":0.0000068744075,"about_ca_topic_score_gemma":0.0000041508415,"teacher_disagreement_score":0.020242134,"about_ca_system_score_codex":0.000018368508,"about_ca_system_score_gemma":0.00004891562,"threshold_uncertainty_score":0.25768328},"labels":[],"label_agreement":null},{"id":"W4368370142","doi":"10.1112/blms.12842","title":"On rational convexity of totally real sets","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Convexity; Regular polygon; Set (abstract data type); Pure mathematics; Geometry; Computer science","score_opus":0.03480618044661934,"score_gpt":0.2944785362376521,"score_spread":0.25967235579103276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4368370142","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94989777,0.000013790279,0.0014072221,0.010689737,0.000179651,0.0004976105,0.000045324618,0.00012450131,0.037144374],"genre_scores_gemma":[0.9738267,0.000030395327,0.015480245,0.00039844008,0.000059714363,0.000026618653,0.000006544488,0.00003456181,0.01013677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983942,0.000103626015,0.00052316417,0.00018168341,0.0005519746,0.0002453508],"domain_scores_gemma":[0.9961843,0.0029424278,0.00029052355,0.0004323569,0.000095918615,0.00005447129],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00091036,0.00014589464,0.00041223524,0.000033077915,0.00008803775,0.0000062828562,0.00037016222,0.00015263291,0.0024915582],"category_scores_gemma":[0.0018437287,0.00009484293,0.00045684268,0.00038199642,0.0003751416,0.000007634768,0.00021962855,0.0001921566,0.0002678707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017551221,0.00023474821,0.00007512026,0.0003563536,0.000074968644,7.0270954e-7,0.0004522415,0.000014338584,0.00021984402,0.8263935,0.1720531,0.00010753246],"study_design_scores_gemma":[0.00059228647,0.00009230837,0.001711296,0.00008805503,0.00004581431,0.000006002761,0.0002535706,0.0004997275,0.0020489162,0.9931784,0.0013680492,0.00011554813],"about_ca_topic_score_codex":0.000011443139,"about_ca_topic_score_gemma":4.8711775e-7,"teacher_disagreement_score":0.17068505,"about_ca_system_score_codex":0.000025387513,"about_ca_system_score_gemma":0.000041453386,"threshold_uncertainty_score":0.9984203},"labels":[],"label_agreement":null},{"id":"W4368755634","doi":"10.48550/arxiv.2305.02266","title":"Boundary rigidity, and non-rigidity, of projective structures","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Rigidity (electromagnetism); Mathematics; Pure mathematics; Projective test; Affine transformation; Boundary (topology); Torsion (gastropod); Conformal map; Collineation; Projective plane; Automorphism; Mathematical analysis; Geometry; Projective space; Physics","score_opus":0.16152070742213676,"score_gpt":0.250227815728105,"score_spread":0.08870710830596823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4368755634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98518115,0.000050297254,0.009982614,0.00005782289,0.00064621045,0.00051080924,0.00012989064,0.00015485805,0.0032863426],"genre_scores_gemma":[0.9947207,0.00018617928,0.0009368407,0.000014433115,0.00011033349,0.0000012896019,0.000020367748,0.000040208688,0.0039696773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833345,0.000118665484,0.00028637398,0.0008057482,0.00011943358,0.00033635355],"domain_scores_gemma":[0.9980202,0.00056697323,0.0004379523,0.0006804205,0.00017699697,0.000117484175],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030909045,0.00034509602,0.00067826424,0.00064570067,0.00013772045,0.000033128636,0.0005518756,0.00049968855,0.000103903105],"category_scores_gemma":[0.00032033105,0.00035925515,0.0001959595,0.0006681638,0.00054460776,0.00008853383,0.0018850146,0.00068323413,0.000021750617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002225428,0.00040145157,0.04951618,0.0029862763,0.0013895227,0.0006494635,0.0020457883,0.0018529504,0.0001224391,0.9254194,0.01475013,0.0006438489],"study_design_scores_gemma":[0.00051643664,0.00009481091,0.032417018,0.000079489575,0.00024291783,0.000008463825,0.00047745253,0.0012358938,0.00017081403,0.96426666,0.0001430048,0.00034705034],"about_ca_topic_score_codex":0.0006543692,"about_ca_topic_score_gemma":0.00013903114,"teacher_disagreement_score":0.03884724,"about_ca_system_score_codex":0.00010397966,"about_ca_system_score_gemma":0.00027809478,"threshold_uncertainty_score":0.9998859},"labels":[],"label_agreement":null},{"id":"W4372319597","doi":"10.1142/s0218216523500414","title":"Tri-plane diagrams for simple surfaces in S4","year":2023,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Projective plane; Combinatorics; Crossing number (knot theory); Simple (philosophy); Surface (topology); Plane (geometry); Diagram; Euler characteristic; Zero (linguistics); Euler's formula; Table (database); Geometry; Mathematical analysis; Knot (papermaking)","score_opus":0.0631826836358529,"score_gpt":0.34791541349782074,"score_spread":0.28473272986196785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4372319597","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9939771,0.00060602993,0.0033917783,0.0014021599,0.00014579209,0.00018124761,0.00002768723,0.000020321235,0.0002478302],"genre_scores_gemma":[0.9976146,0.0003236068,0.00040563635,0.000037979855,0.000081071514,0.000008563319,0.000007549685,0.000009197165,0.0015118005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915904,0.00012900906,0.0003900276,0.00008188924,0.000083864565,0.00015618905],"domain_scores_gemma":[0.9960436,0.0034911078,0.00021776716,0.00009438077,0.000092776514,0.000060349816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018213775,0.00007100741,0.00021888931,0.00031788714,0.00008966382,0.000017077922,0.00012896206,0.00006251137,0.00007031506],"category_scores_gemma":[0.002813788,0.000054905056,0.000060164864,0.00050961453,0.000041845746,0.000088048255,0.000015996755,0.00012464689,0.000013960623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073398754,0.00012999043,0.00047721394,0.000055463006,0.00004237665,0.0000050541776,0.00089398894,0.000033578995,0.00069698994,0.9879399,0.003585426,0.0060666366],"study_design_scores_gemma":[0.0007431298,0.00013848023,0.008220378,0.000020329,0.00004524508,0.000034573197,0.0016531365,0.00025868125,0.00043222352,0.97954464,0.008822804,0.00008637295],"about_ca_topic_score_codex":8.3250114e-7,"about_ca_topic_score_gemma":0.000006245863,"teacher_disagreement_score":0.008395236,"about_ca_system_score_codex":0.000011664539,"about_ca_system_score_gemma":0.00003773464,"threshold_uncertainty_score":0.33685702},"labels":[],"label_agreement":null},{"id":"W4372324977","doi":"10.4153/s0008439523000358","title":"Strong Shannon–McMillan–Breiman’s theorem for locally compact groups","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Random walk; Locally compact space; Bounded function; Path (computing); Discrete mathematics; Exponential function; Class (philosophy); Exponential growth; Locally compact group; Combinatorics; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.04522433792179899,"score_gpt":0.2907986330462528,"score_spread":0.24557429512445383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4372324977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4522642,0.00031704997,0.1081484,0.12847012,0.0014703448,0.006141378,0.001025075,0.0022809124,0.2998825],"genre_scores_gemma":[0.9833359,0.0000062175736,0.0035026511,0.0011744761,0.0003124297,0.00010596877,0.00006577413,0.00011301115,0.011383576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974775,0.000080849866,0.00055019377,0.00042425585,0.00028453412,0.001182684],"domain_scores_gemma":[0.99620444,0.0022343749,0.00011152404,0.0005292376,0.00011024806,0.00081015046],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010160105,0.00032085797,0.0006046953,0.00052621955,0.0002534823,0.00007482171,0.0004991405,0.00024102694,0.0145653],"category_scores_gemma":[0.002506058,0.00028022667,0.0002307203,0.000593435,0.00022130448,0.000022622668,0.00005596121,0.00025081355,0.014677788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009137641,0.000029302271,0.000040805775,0.00018671263,0.000051578416,0.00004438386,0.00018910161,0.000004741384,0.0000065360723,0.7751237,0.22371048,0.00060351426],"study_design_scores_gemma":[0.0006321014,0.00011861445,0.00025249374,0.00008036345,0.000054187993,0.000047528654,0.00073611696,0.0009939006,0.000034724188,0.9251177,0.071559,0.00037331908],"about_ca_topic_score_codex":0.00027333343,"about_ca_topic_score_gemma":0.0007782114,"teacher_disagreement_score":0.5310717,"about_ca_system_score_codex":0.00018073326,"about_ca_system_score_gemma":0.00022682144,"threshold_uncertainty_score":0.999965},"labels":[],"label_agreement":null},{"id":"W4376275023","doi":"10.1016/j.jalgebra.2023.04.031","title":"Topological groups with a compact open subgroup, relative hyperbolicity and coherence","year":2023,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Discrete group; Topological group; Topology (electrical circuits); Group (periodic table); Normal subgroup; Isometry (Riemannian geometry); Locally compact space; Combinatorics; Pure mathematics; Discrete mathematics; Physics","score_opus":0.07547109710332084,"score_gpt":0.3373086630693172,"score_spread":0.2618375659659964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376275023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937897,0.00013109972,0.00068398216,0.002439419,0.00009427175,0.00016425712,0.0000032847659,0.000029665802,0.0026643465],"genre_scores_gemma":[0.9967256,0.00005062983,0.0022356051,0.00016945387,0.00009968592,0.0000017165451,7.7898375e-7,0.000013635222,0.00070286944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987727,0.00013562836,0.0004037417,0.00015407192,0.00026809584,0.00026576212],"domain_scores_gemma":[0.9980368,0.001095639,0.00041905616,0.00015129062,0.00012987913,0.00016734799],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082078716,0.00014829668,0.0005284085,0.00022327942,0.00011155538,0.000067272405,0.0003982159,0.000100744,0.0002328128],"category_scores_gemma":[0.00062406366,0.000091620845,0.00006462799,0.0007020372,0.00022984753,0.00031920083,0.00016866608,0.00039849037,0.000024777999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005576949,0.00039181707,0.07983033,0.00006560284,0.0004716628,0.00080913794,0.0027660448,0.0000059536324,0.00040590327,0.8967704,0.015641928,0.0022834921],"study_design_scores_gemma":[0.0021608158,0.0019007992,0.19408935,0.000099258985,0.00011726407,0.0015276253,0.0017107711,0.000038550545,0.0004131088,0.79703206,0.0006631596,0.000247217],"about_ca_topic_score_codex":0.000034029064,"about_ca_topic_score_gemma":0.00001608184,"teacher_disagreement_score":0.11425901,"about_ca_system_score_codex":0.000031619067,"about_ca_system_score_gemma":0.00006721344,"threshold_uncertainty_score":0.37361896},"labels":[],"label_agreement":null},{"id":"W4376958652","doi":"10.1007/s40879-023-00637-w","title":"An introduction to the algebraic geometry of the Putman–Wieland conjecture","year":2023,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Vetenskapsrådet; Massachusetts Institute of Technology; National Science Foundation","keywords":"Conjecture; Mathematics; Isogeny; Algebraic geometry; Algebraic number; Pure mathematics; Algebra over a field; Elliptic curve; Mathematical analysis","score_opus":0.027036750651610136,"score_gpt":0.2771761784878307,"score_spread":0.25013942783622056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376958652","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9775851,0.00006813244,0.008901316,0.011626292,0.00096271746,0.00020222265,0.0000063626817,0.00003525691,0.0006126061],"genre_scores_gemma":[0.9907597,0.000018169669,0.0066521917,0.00019002383,0.0013594443,8.421392e-7,9.377047e-7,0.00004843141,0.0009703005],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979076,0.00045812188,0.00079368654,0.00012844562,0.00048149092,0.00023065384],"domain_scores_gemma":[0.99769396,0.0005622282,0.0007840628,0.00067354715,0.00019035165,0.00009587459],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036624467,0.00015631193,0.00034688943,0.00033767827,0.00013091296,0.000036510468,0.0009210578,0.000037191872,0.00013332948],"category_scores_gemma":[0.0027174798,0.000077471435,0.00018012561,0.0013801033,0.00010673253,0.00007513039,0.00015730062,0.00037905766,0.00009919194],"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":[0.00007245724,0.0011859616,0.0012671506,0.00081261614,0.0007849775,0.00024349248,0.031050935,0.0023622909,0.0051847585,0.39548627,0.54357195,0.017977154],"study_design_scores_gemma":[0.004978021,0.004923258,0.04692622,0.0008883862,0.0012855971,0.0077223694,0.03327393,0.0013466845,0.013411092,0.6696277,0.21410072,0.0015159937],"about_ca_topic_score_codex":5.675546e-7,"about_ca_topic_score_gemma":0.000001894999,"teacher_disagreement_score":0.32947123,"about_ca_system_score_codex":0.000019163565,"about_ca_system_score_gemma":0.000038532013,"threshold_uncertainty_score":0.32532734},"labels":[],"label_agreement":null},{"id":"W4377140896","doi":"10.1142/s0218216523400035","title":"Over then under tangles","year":2023,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tangle; Braid; Mathematics; Homotopy; Braid group; Braid theory; Quantization (signal processing); Isotopy; Knot (papermaking); Algebra over a field; Pure mathematics; Algorithm; Engineering","score_opus":0.057886553941199834,"score_gpt":0.3414009235201653,"score_spread":0.2835143695789655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377140896","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98330706,0.0009291156,0.009904854,0.002716173,0.00025524094,0.00008484461,0.000009499925,0.000042737433,0.002750449],"genre_scores_gemma":[0.9941233,0.00022829958,0.00021623573,0.00012274538,0.00013065689,0.0000018304755,0.0000011541022,0.000009825863,0.005165945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927497,0.00014148139,0.00027952128,0.00006930676,0.00011508454,0.00011963979],"domain_scores_gemma":[0.99801487,0.0015037096,0.00020264648,0.000116575735,0.00009673736,0.00006547758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010747892,0.00006709616,0.00015475783,0.00026763245,0.00011572233,0.000018311144,0.00013286613,0.000055714507,0.0003221975],"category_scores_gemma":[0.0010986902,0.000048309907,0.00006579446,0.00042255988,0.00006172113,0.00009961586,0.000027694417,0.00013924977,0.0000527311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001435671,0.000050091683,0.000050749913,0.000009783145,0.00005371189,0.000003327363,0.0006027669,0.0000054271104,0.0009394632,0.9928838,0.0034167317,0.0019697687],"study_design_scores_gemma":[0.00025097397,0.000048419406,0.008504175,0.00001698364,0.00005840613,0.000060869548,0.0016957386,0.00005392305,0.0003185122,0.9843632,0.0045645665,0.00006421345],"about_ca_topic_score_codex":2.530461e-7,"about_ca_topic_score_gemma":3.3360385e-7,"teacher_disagreement_score":0.010816222,"about_ca_system_score_codex":0.000010888183,"about_ca_system_score_gemma":0.00003615691,"threshold_uncertainty_score":0.35278368},"labels":[],"label_agreement":null},{"id":"W4378977714","doi":"10.1007/s00208-023-02643-5","title":"Stability of the symplectomorphism groups of rational surfaces","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Symplectomorphism; Symplectic geometry; Pure mathematics; Cohomology; Stability (learning theory); Manifold (fluid mechanics); Symplectic representation; Moment map","score_opus":0.0893077795452148,"score_gpt":0.30785408160438504,"score_spread":0.21854630205917025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4378977714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9952687,0.00008834828,0.0005854446,0.00084413757,0.0000966866,0.00025442382,0.00005675914,0.000057571076,0.002747953],"genre_scores_gemma":[0.99745977,0.000014024463,0.0015607512,0.000018747944,0.0000232557,0.000014997039,0.0000051390225,0.000014408071,0.0008889159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986531,0.00012072493,0.0004912001,0.00015858091,0.0003797766,0.00019661667],"domain_scores_gemma":[0.9978653,0.0011634077,0.00033153928,0.00046798037,0.00014020319,0.00003156434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009273501,0.000116584364,0.00034783393,0.00011146551,0.00006515876,0.0000052310947,0.00035581773,0.00007645605,0.0007786683],"category_scores_gemma":[0.0013156508,0.000076728764,0.00015062316,0.00094362046,0.00023071063,0.000059615602,0.00017255408,0.00010534537,0.00004648011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021912776,0.00039200138,0.021489302,0.0012480567,0.00020843,0.0000025252816,0.004357942,0.00001577666,0.014070786,0.9327107,0.024878548,0.0006039872],"study_design_scores_gemma":[0.00041368624,0.0000709651,0.051604863,0.00008458774,0.00006010067,0.000013034052,0.0006387178,0.00040092156,0.053409155,0.89264715,0.0004977914,0.00015904792],"about_ca_topic_score_codex":0.000016242187,"about_ca_topic_score_gemma":0.000014832521,"teacher_disagreement_score":0.0400636,"about_ca_system_score_codex":0.00000931805,"about_ca_system_score_gemma":0.000060011374,"threshold_uncertainty_score":0.8525872},"labels":[],"label_agreement":null},{"id":"W4380136147","doi":"10.48550/arxiv.2306.04812","title":"Types of Symmetries of Knots","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Natural Sciences and Engineering Research Council of Canada","keywords":"Dihedral group; Diagrammatic reasoning; Homogeneous space; Dihedral angle; Mathematics; Knot (papermaking); Pure mathematics; Combinatorics; Group (periodic table); Computer science; Geometry; Physics","score_opus":0.20846471138703182,"score_gpt":0.23544274279307806,"score_spread":0.026978031406046238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380136147","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97594887,0.00012077296,0.017656032,0.00006437574,0.0005162803,0.00021320545,0.000079437945,0.00012108427,0.0052799494],"genre_scores_gemma":[0.9907251,0.00017762504,0.0006450849,0.0000065975582,0.000032204913,2.5860552e-7,0.000008437217,0.000022751425,0.008381918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990226,0.0000689291,0.0002786421,0.00036464797,0.000075574426,0.00018962598],"domain_scores_gemma":[0.99789584,0.00075760705,0.00045203808,0.0005944301,0.00024628677,0.00005381147],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023745686,0.00017612496,0.0005635534,0.00071250217,0.000027489892,0.0000038161406,0.0004983281,0.0002984115,0.00014572268],"category_scores_gemma":[0.00087312545,0.00018841668,0.00021738397,0.0010679199,0.0002448151,0.000033128726,0.0007671536,0.00026379284,0.000047851503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004422718,0.00015792654,0.0076575144,0.0010380464,0.0003979717,0.000065024884,0.00023812923,0.0030094017,0.000030182764,0.98491067,0.0022183908,0.00023251523],"study_design_scores_gemma":[0.00037976555,0.000087477754,0.0030051302,0.00015738478,0.00031234956,0.0000014265485,0.00050956674,0.0013753048,0.0012226418,0.9925067,0.00019652772,0.00024572128],"about_ca_topic_score_codex":0.00020023745,"about_ca_topic_score_gemma":0.000032793414,"teacher_disagreement_score":0.017010946,"about_ca_system_score_codex":0.00003711841,"about_ca_system_score_gemma":0.00011139856,"threshold_uncertainty_score":0.76834095},"labels":[],"label_agreement":null},{"id":"W4380925365","doi":"10.5817/cz.muni.eurocomb23-085","title":"Cops and Robber on Hyperbolic Manifolds","year":2023,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Geodesic; Mathematics; Genus; Surface (topology); Combinatorics; Pure mathematics; Discrete mathematics; Geometry","score_opus":0.06628202162197497,"score_gpt":0.3212420530608895,"score_spread":0.25496003143891455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380925365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90898573,0.000017847733,0.00010799434,0.0014024291,0.00011136892,0.00006917431,9.746257e-7,0.00022539201,0.08907909],"genre_scores_gemma":[0.95304316,0.000025821515,0.00067036133,0.0003844905,0.000053633215,0.000005184278,0.0000013608042,0.000011232826,0.04580473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995329,0.000013645354,0.00008822807,0.000121674144,0.00008008598,0.00016348273],"domain_scores_gemma":[0.9994824,0.0003143733,0.000016682967,0.00013216093,0.000009927987,0.000044448134],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000117909694,0.00006502457,0.00011150382,0.00014461072,0.000039600294,0.000009334049,0.000052337622,0.00005198642,0.0007525615],"category_scores_gemma":[0.00015265903,0.00004856388,0.000020311356,0.00032819118,0.000026069578,0.000016262273,0.000048084206,0.000053043208,0.0010110334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030351237,0.00002907923,0.0016221541,0.000015608959,0.000015385462,0.000016917613,0.00011476105,5.3826165e-7,0.000048643727,0.91276866,0.0811363,0.004228927],"study_design_scores_gemma":[0.0008722053,0.00022553345,0.039969433,0.0000146168995,0.000030681054,0.000058589336,0.0008290459,0.00022708214,0.0007133709,0.9091117,0.047651917,0.00029586983],"about_ca_topic_score_codex":0.000013106837,"about_ca_topic_score_gemma":0.000007442201,"teacher_disagreement_score":0.044057455,"about_ca_system_score_codex":0.0000052484593,"about_ca_system_score_gemma":0.000005462876,"threshold_uncertainty_score":0.99976677},"labels":[],"label_agreement":null},{"id":"W4381167746","doi":"10.1017/s0017089523000137","title":"Continuously many quasi-isometry classes of residually finite groups","year":2023,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quotient; Isometry (Riemannian geometry); Finitely-generated abelian group; Pure mathematics; Combinatorics; Discrete mathematics","score_opus":0.04183805046467764,"score_gpt":0.31062239300180045,"score_spread":0.2687843425371228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381167746","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8803001,0.00019671378,0.10245001,0.0022407414,0.00060531806,0.00033531207,0.00002656096,0.00033366063,0.013511605],"genre_scores_gemma":[0.9665817,0.00013518044,0.027937181,0.0001698331,0.00044307724,0.000013542807,0.0000051018683,0.000079239486,0.0046351673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965529,0.00021976272,0.001339898,0.0002758744,0.0008718323,0.0007397622],"domain_scores_gemma":[0.9932635,0.005030216,0.00061828905,0.0004611484,0.0002526343,0.00037423897],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002060687,0.00030174287,0.00092754985,0.0009514453,0.0001837738,0.000085468906,0.000590652,0.00025457435,0.0022151761],"category_scores_gemma":[0.010771293,0.000235228,0.0003015191,0.0016295693,0.00028102758,0.00016916757,0.00021426647,0.00066900323,0.0008527468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000080917,0.0010103203,0.0016248212,0.0008857054,0.00039466168,0.00047138025,0.0013061906,0.000008827269,0.0007702767,0.9408269,0.0477676,0.004852379],"study_design_scores_gemma":[0.0010056274,0.00043550084,0.0016387507,0.00021883611,0.0001240278,0.00077668094,0.0013784601,0.00044223943,0.00047408903,0.9922435,0.0009813902,0.00028084856],"about_ca_topic_score_codex":0.0000015684668,"about_ca_topic_score_gemma":0.0000016953727,"teacher_disagreement_score":0.0862816,"about_ca_system_score_codex":0.000044501827,"about_ca_system_score_gemma":0.00014103742,"threshold_uncertainty_score":0.9999252},"labels":[],"label_agreement":null},{"id":"W4381436529","doi":"10.3336/gm.58.1.06","title":"Equivalent topologies on the contracting boundary","year":2023,"lang":"en","type":"article","venue":"Glasnik Matematicki","topic":"Geometric and Algebraic Topology","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":"Mathematics; Boundary (topology); Geodesic; Mathematical analysis; Morse theory; Sublinear function; Bounded function; Pure mathematics; Topology (electrical circuits); Combinatorics","score_opus":0.13004907708414992,"score_gpt":0.3521228599908504,"score_spread":0.2220737829067005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381436529","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94453424,0.00008849579,0.0005485235,0.013015671,0.0010137534,0.00062600005,0.000012142694,0.0008666547,0.039294522],"genre_scores_gemma":[0.99277323,0.00003046553,0.0006135689,0.00062097574,0.0001398505,0.00009136784,0.0000043045306,0.00003254823,0.005693706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822015,0.0001845887,0.00046795397,0.00023840774,0.00036602104,0.00052286277],"domain_scores_gemma":[0.9933074,0.0057833847,0.00022460142,0.00057877955,0.00004941766,0.00005639884],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014498446,0.000202777,0.00037053824,0.0001988196,0.0003596892,0.000096267424,0.00040279684,0.00010093007,0.0010755968],"category_scores_gemma":[0.00490212,0.00012072263,0.00012315977,0.00061725185,0.00020084316,0.00006978297,0.00018874888,0.0002518472,0.0028761951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018476027,0.00008441621,0.0002503598,0.0003938201,0.00010225585,0.000056943492,0.0010715097,0.0000075674307,0.00014653562,0.8972568,0.09897783,0.0016334862],"study_design_scores_gemma":[0.00038782,0.00016489084,0.0014211002,0.00017352178,0.000055066015,0.000045294004,0.007295876,0.00034123583,0.0013629735,0.97904104,0.009429855,0.00028131052],"about_ca_topic_score_codex":0.000011373706,"about_ca_topic_score_gemma":0.0000040390787,"teacher_disagreement_score":0.08954798,"about_ca_system_score_codex":0.000042637595,"about_ca_system_score_gemma":0.000038114635,"threshold_uncertainty_score":0.9998376},"labels":[],"label_agreement":null},{"id":"W4381551750","doi":"10.48550/arxiv.2306.10357","title":"Recalibrating $\\mathbb{R}$-order trees and $\\mbox{Homeo}_+(S^1)$-representations of link groups","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Fibered knot; Mathematics; Knot (papermaking); Pure mathematics; Fundamental group; Link (geometry); Combinatorics; Degeneracy (biology); Invariant (physics); Order (exchange); Twist; Mathematical analysis; Geometry; Mathematical physics","score_opus":0.1585358340287633,"score_gpt":0.24960361173014978,"score_spread":0.09106777770138647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381551750","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9239602,0.00010277038,0.071415596,0.00044515225,0.00045965964,0.00042964326,0.00008405807,0.00031154056,0.002791373],"genre_scores_gemma":[0.9895968,0.00029897553,0.0042066467,0.000023883906,0.00012841361,0.0000026102034,0.000037173213,0.000054163633,0.0056513445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811494,0.00017903054,0.00044716135,0.0008005311,0.00011259824,0.00034573613],"domain_scores_gemma":[0.9970913,0.0012979219,0.0005085817,0.0007788737,0.00018227345,0.00014105206],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033662652,0.00032227946,0.00064921385,0.0006867557,0.00015083698,0.000036921007,0.00049163325,0.00044051174,0.0001518475],"category_scores_gemma":[0.0008382831,0.00035462368,0.00019773144,0.001269572,0.0003113636,0.0001375285,0.0012524986,0.00055366947,0.00003383688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046808265,0.00019876026,0.02411128,0.00080775685,0.0005870715,0.00020654162,0.0014000249,0.009333171,0.00008421492,0.96009636,0.0015244854,0.0016035083],"study_design_scores_gemma":[0.0008034867,0.000080260455,0.010257514,0.0001842311,0.00039626067,0.0000082734,0.0023382923,0.024036542,0.0001266478,0.9611457,0.000112409616,0.00051037286],"about_ca_topic_score_codex":0.00027271837,"about_ca_topic_score_gemma":0.00017829197,"teacher_disagreement_score":0.06720895,"about_ca_system_score_codex":0.000048448506,"about_ca_system_score_gemma":0.00011511968,"threshold_uncertainty_score":0.99989057},"labels":[],"label_agreement":null},{"id":"W4382447845","doi":"10.1112/blms.12857","title":"A note on abelian cubulated groups","year":2023,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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; Abelian group; Pure mathematics","score_opus":0.028380062930223476,"score_gpt":0.2862877696538778,"score_spread":0.2579077067236543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382447845","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9176472,0.000059180766,0.0033817617,0.05506802,0.00054893433,0.0011710223,0.00003545732,0.0007519123,0.02133652],"genre_scores_gemma":[0.9484654,0.000050822517,0.02053162,0.0019799364,0.00019393499,0.000061829196,0.0000057550296,0.00010414495,0.02860653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981066,0.0001111103,0.0005203844,0.0002744256,0.00053781696,0.00044967677],"domain_scores_gemma":[0.9967991,0.0021318258,0.00023038944,0.0006847263,0.000062670704,0.000091300666],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009174468,0.00022127423,0.00046650562,0.000055214296,0.00017010537,0.000016156768,0.00056823215,0.00022748976,0.0019320954],"category_scores_gemma":[0.0018586293,0.00013799642,0.0005941376,0.0008559732,0.00028812603,0.000008381099,0.00030465817,0.0003419929,0.0017830867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024945828,0.00044640448,0.000083718136,0.0005686396,0.00013896635,0.000004999017,0.0014135424,0.00002095316,0.0005591818,0.50683296,0.48889008,0.0010155967],"study_design_scores_gemma":[0.00097119383,0.00012277665,0.000987553,0.00020380279,0.000095559866,0.00001539876,0.00035238604,0.0009756354,0.0019991703,0.9635108,0.030494303,0.00027140768],"about_ca_topic_score_codex":0.00000962535,"about_ca_topic_score_gemma":4.9633155e-7,"teacher_disagreement_score":0.45839578,"about_ca_system_score_codex":0.000042463875,"about_ca_system_score_gemma":0.000022181392,"threshold_uncertainty_score":0.9989941},"labels":[],"label_agreement":null},{"id":"W4382766799","doi":"10.1112/plms.12539","title":"Applications of the algebraic geometry of the Putman–Wieland conjecture","year":2023,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Vetenskapsrådet; National Science Foundation","keywords":"Conjecture; Mathematics; Class (philosophy); Homology (biology); Cover (algebra); Image (mathematics); Algebraic number; Covering space; Topology (electrical circuits); Pure mathematics; Algebra over a field; Combinatorics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.01673629795791704,"score_gpt":0.2646345481304737,"score_spread":0.24789825017255668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382766799","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99066365,0.000111228976,0.0006034872,0.0046854336,0.00011234069,0.001143996,0.000031684718,0.00006566922,0.0025825049],"genre_scores_gemma":[0.99538064,0.000025436866,0.0018395098,0.0001379532,0.00006287298,0.00007187264,5.3897696e-7,0.000030156783,0.0024510252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980786,0.0000175314,0.00068317354,0.00022975681,0.00067011063,0.00032086557],"domain_scores_gemma":[0.9974326,0.0010028806,0.0007903755,0.00048512378,0.00024028847,0.000048722977],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000889607,0.00020281808,0.00051829504,0.000056580637,0.00021289836,0.000014737874,0.0014206538,0.0002300165,0.00012061187],"category_scores_gemma":[0.0016092819,0.00009347393,0.00078190805,0.0027368937,0.0008255896,0.000050467766,0.0008303491,0.0003997425,0.000011689674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000076272786,0.00033285827,0.01068465,0.0032144398,0.0002922697,3.857209e-8,0.0032095425,0.0000038306002,0.0072537134,0.9463462,0.028138692,0.0005161094],"study_design_scores_gemma":[0.0004031818,0.000027854197,0.005422138,0.00018846728,0.00021113294,0.00001252962,0.001512396,0.0002183092,0.029117066,0.96202016,0.0007426024,0.0001241504],"about_ca_topic_score_codex":0.0000055716423,"about_ca_topic_score_gemma":6.935404e-7,"teacher_disagreement_score":0.02739609,"about_ca_system_score_codex":0.000029464767,"about_ca_system_score_gemma":0.0000499767,"threshold_uncertainty_score":0.38117564},"labels":[],"label_agreement":null},{"id":"W4383221941","doi":"10.1016/j.disc.2023.113585","title":"Coarse geometry of the cops and robber game","year":2023,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Tokyo Metropolitan University","keywords":"Mathematics; Combinatorics; Transitive relation; Vertex (graph theory); Graph; Discrete mathematics","score_opus":0.03729046438638072,"score_gpt":0.3007197937221685,"score_spread":0.2634293293357878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383221941","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9920906,0.0000815874,0.0018629046,0.0006774754,0.00018999483,0.00029686082,0.000032100994,0.00011502039,0.004653492],"genre_scores_gemma":[0.98853284,0.000039151113,0.006020158,0.00006493509,0.0000402898,0.000014265019,0.0000037170503,0.000037250455,0.005247412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878794,0.000045127046,0.00041172947,0.00017068774,0.00030048113,0.00028404474],"domain_scores_gemma":[0.99819577,0.0009229244,0.0002362411,0.0005299294,0.000052777774,0.00006233223],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046756657,0.00016075856,0.000368106,0.00018765812,0.000072322764,0.00001788242,0.0002883565,0.0001034538,0.00016686904],"category_scores_gemma":[0.0013417328,0.000101292484,0.00011379729,0.0011019384,0.00026597377,0.000042601743,0.00031062993,0.00014918791,0.00006588859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006530478,0.0001485877,0.0029044955,0.00122191,0.00015503868,0.000012680738,0.005230171,0.000012446805,0.00049943454,0.9740575,0.014184502,0.0015667111],"study_design_scores_gemma":[0.0005944467,0.00005942509,0.0031479294,0.00014572767,0.00014602412,0.00006262662,0.004029587,0.0029819338,0.0013744808,0.9855745,0.001610641,0.0002726861],"about_ca_topic_score_codex":0.0000059661324,"about_ca_topic_score_gemma":0.0000035719754,"teacher_disagreement_score":0.0125738615,"about_ca_system_score_codex":0.000011426258,"about_ca_system_score_gemma":0.000023911602,"threshold_uncertainty_score":0.41305876},"labels":[],"label_agreement":null},{"id":"W4383373165","doi":"10.1007/s00208-023-02663-1","title":"Homological growth of Artin kernels in positive characteristic","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"HORIZON EUROPE European Research Council; Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Mathematics; Pure mathematics; Homology (biology); Artin group; Group ring; Combinatorics; Discrete mathematics; Group (periodic table); Coxeter group","score_opus":0.07084529664068707,"score_gpt":0.3309714423000772,"score_spread":0.26012614565939013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383373165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99334383,0.000041743577,0.0006944403,0.0007889216,0.000055343025,0.00023244593,0.000031104402,0.00016134843,0.004650829],"genre_scores_gemma":[0.99516296,0.000025276186,0.0025016333,0.000051375115,0.00004114063,0.00003873092,0.000013345157,0.00002164395,0.00214387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855864,0.00010950785,0.00051723584,0.00023917195,0.00021404665,0.00036141445],"domain_scores_gemma":[0.99841386,0.0010002777,0.00021083566,0.0002411567,0.000072866,0.000060995262],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007174143,0.00016057554,0.0004912051,0.00040464316,0.000031916086,0.000009679858,0.00024199994,0.00013209075,0.00047456837],"category_scores_gemma":[0.0017695548,0.00013190125,0.00009990877,0.0010140352,0.00011598008,0.00006832815,0.0001403807,0.00018341882,0.00047383257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010224414,0.0012855467,0.039986134,0.0012713739,0.00021687898,0.0006973828,0.008918254,0.000001995664,0.004528353,0.91448855,0.024414316,0.004088942],"study_design_scores_gemma":[0.0005443129,0.00018065379,0.2280639,0.00016657218,0.000033053017,0.000066130495,0.00038794143,0.00028488418,0.0036946232,0.7662448,0.000077245924,0.0002558561],"about_ca_topic_score_codex":0.000017418164,"about_ca_topic_score_gemma":0.0000036494796,"teacher_disagreement_score":0.18807776,"about_ca_system_score_codex":0.0000143941725,"about_ca_system_score_gemma":0.000022681992,"threshold_uncertainty_score":0.6090317},"labels":[],"label_agreement":null},{"id":"W4384030111","doi":"10.1007/s00029-023-00859-6","title":"Knot Floer homology of satellite knots with (1, 1) patterns","year":2023,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Geometric and Algebraic Topology","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":"Knot invariant; Floer homology; Homomorphism; Knot (papermaking); Mathematics; Knot theory; Conjecture; Invariant (physics); Knot polynomial; Combinatorics; Khovanov homology; Finite type invariant; Trefoil knot; Homology (biology); Concordance; Pure mathematics; Tricolorability; Skein relation; Mathematical analysis; Mathematical physics; Polynomial; Bioinformatics","score_opus":0.03971372183842341,"score_gpt":0.29932646428493664,"score_spread":0.2596127424465132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384030111","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9802639,0.00009711237,0.0050202836,0.00061615935,0.00010637308,0.00040900026,0.000017629074,0.00036690632,0.013102623],"genre_scores_gemma":[0.9874611,0.00007118813,0.007957315,0.000055888228,0.00005685884,0.000044768243,0.000012065334,0.000061305196,0.004279531],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825263,0.000086240194,0.0004962811,0.00031200127,0.00030716034,0.00054570177],"domain_scores_gemma":[0.9978586,0.0011639891,0.00022566016,0.000541088,0.00011937395,0.000091290865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041587357,0.00023320748,0.00059475075,0.00044365367,0.00006431743,0.0000131287525,0.0003160395,0.00014284955,0.00088200724],"category_scores_gemma":[0.0005303395,0.00017257183,0.0000943327,0.0013775541,0.00014615881,0.00005686707,0.00010206807,0.00017890253,0.00050247513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000119451615,0.0009603462,0.00934388,0.0032134657,0.000744356,0.00021633603,0.007314395,0.000004344882,0.0029384699,0.95161086,0.010409607,0.01312446],"study_design_scores_gemma":[0.0015901581,0.001010394,0.007675625,0.00032639367,0.0002852545,0.0004086895,0.0012320204,0.00031504294,0.014164384,0.9688163,0.0034122549,0.0007635054],"about_ca_topic_score_codex":0.000011571409,"about_ca_topic_score_gemma":0.000019211191,"teacher_disagreement_score":0.017205391,"about_ca_system_score_codex":0.000020781763,"about_ca_system_score_gemma":0.00006509194,"threshold_uncertainty_score":0.9657361},"labels":[],"label_agreement":null},{"id":"W4384524634","doi":"10.1515/advgeom-2023-0012","title":"Abelian branched covers of rational surfaces","year":2023,"lang":"en","type":"article","venue":"Advances in Geometry","topic":"Geometric and Algebraic Topology","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; Abelian group; Signature (topology); Symplectic geometry; Pure mathematics; Algebra over a field; Geometry","score_opus":0.025399440742821466,"score_gpt":0.3331731147371367,"score_spread":0.3077736739943152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384524634","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99156475,0.0016196608,0.00091683667,0.00024362221,0.00043772196,0.00011642196,0.00002304799,0.00007877573,0.004999181],"genre_scores_gemma":[0.9951726,0.0007568322,0.0029988817,0.00004459577,0.000036964368,0.000008521004,0.000013174004,0.0000118148755,0.0009565876],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989651,0.000035435747,0.00032534476,0.00018413107,0.00024219678,0.0002478238],"domain_scores_gemma":[0.99839544,0.0012117199,0.00013116607,0.00018371362,0.000042873326,0.000035104247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039132222,0.000099682184,0.0002605647,0.00069125305,0.0000313197,0.000004700554,0.00017720343,0.00007255479,0.0003349298],"category_scores_gemma":[0.0011841833,0.000093355215,0.000051186238,0.0029519822,0.00012146191,0.00019704476,0.000056279336,0.00010775759,0.00008436215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012623024,0.000518494,0.39531437,0.00085768267,0.0001358101,0.000066894805,0.0011804557,0.0096478425,0.0032363492,0.5221128,0.008892337,0.057910725],"study_design_scores_gemma":[0.0017631102,0.00015788196,0.081894435,0.000083046834,0.000019992778,0.0000084037765,0.0014631875,0.00046018217,0.0056739585,0.88403803,0.024050765,0.00038703534],"about_ca_topic_score_codex":0.000011037198,"about_ca_topic_score_gemma":0.00002925917,"teacher_disagreement_score":0.36192518,"about_ca_system_score_codex":0.00002155913,"about_ca_system_score_gemma":0.000031432606,"threshold_uncertainty_score":0.38069153},"labels":[],"label_agreement":null},{"id":"W4385225856","doi":"10.1007/s40879-023-00658-5","title":"On the distribution of Alexander polynomials in certain families of closed braids","year":2023,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Simons Foundation","keywords":"Braid; Mathematics; Distribution (mathematics); Class (philosophy); Arithmetic; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis; Geography; Artificial intelligence","score_opus":0.05830275234825163,"score_gpt":0.2903075041522238,"score_spread":0.23200475180397215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385225856","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9929428,0.00004185481,0.0030580112,0.0005828914,0.00011101964,0.00011625944,0.000016719037,0.0000112053,0.0031192033],"genre_scores_gemma":[0.9980873,0.00005477941,0.001384256,0.000028021548,0.00005035277,5.1801095e-7,0.0000020034279,0.000023152033,0.00036961908],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978042,0.0004464108,0.0011446287,0.000074360774,0.00035164168,0.0001787462],"domain_scores_gemma":[0.9954933,0.0030751522,0.0010014466,0.0002636539,0.00012706721,0.000039377283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003855041,0.00012603121,0.00047337587,0.00033169257,0.000029988267,0.000008126953,0.00036766648,0.00003343282,0.00010569897],"category_scores_gemma":[0.004967932,0.00007757689,0.00016536171,0.0007188229,0.00013460741,0.000038909755,0.000071119095,0.00021460572,0.000025588019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015405267,0.0016444115,0.0016355586,0.0011320921,0.00042014322,0.0002630551,0.013904596,0.00048633167,0.0037537552,0.91708803,0.05345684,0.0060611344],"study_design_scores_gemma":[0.006575761,0.0030173804,0.056339722,0.002649581,0.00039089116,0.0003335221,0.03380944,0.0017187655,0.020079669,0.87252665,0.001826884,0.00073175726],"about_ca_topic_score_codex":0.0000018537319,"about_ca_topic_score_gemma":0.0000010636995,"teacher_disagreement_score":0.054704163,"about_ca_system_score_codex":0.000022199118,"about_ca_system_score_gemma":0.000038322014,"threshold_uncertainty_score":0.5947437},"labels":[],"label_agreement":null},{"id":"W4385493098","doi":"10.1007/s40316-023-00220-5","title":"On the group of $$\\omega ^{k}$$-preserving diffeomorphisms","year":2023,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Diffeomorphism; Omega; Symplectomorphism; Group (periodic table); Pure mathematics; Symplectic geometry; Manifold (fluid mechanics); Mathematics; Identity (music); Combinatorics; Physics; Quantum mechanics","score_opus":0.03819006100829332,"score_gpt":0.26981020853268484,"score_spread":0.23162014752439153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385493098","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9214327,0.0033954273,0.001079602,0.06420341,0.0006980747,0.00046464207,0.00006896389,0.00028060496,0.008376627],"genre_scores_gemma":[0.9707826,0.001084038,0.00051697204,0.0010927229,0.0003186028,0.000076589815,0.000017102977,0.000092676404,0.026018713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969777,0.00051331735,0.00088142196,0.00039607825,0.00052198913,0.0007094864],"domain_scores_gemma":[0.9899769,0.008169757,0.00054082926,0.0009831258,0.00018726695,0.00014214776],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014221316,0.00042572725,0.000719679,0.00042617478,0.00026061854,0.00006695191,0.00096333097,0.00028737565,0.0040515084],"category_scores_gemma":[0.0042687743,0.0003108259,0.00036473898,0.0012648912,0.0007780244,0.00017415368,0.0005173249,0.0004856523,0.0024603568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025614589,0.0003322021,0.0011431947,0.00074784807,0.00018592014,0.00006523199,0.0053468025,0.000020762287,0.0001307957,0.6765472,0.31313598,0.0023184142],"study_design_scores_gemma":[0.0008272741,0.0010676692,0.020131899,0.0015185212,0.00028184222,0.00012139539,0.0037956347,0.0061082663,0.0016320236,0.81283164,0.15081456,0.00086929096],"about_ca_topic_score_codex":0.013197373,"about_ca_topic_score_gemma":0.008769495,"teacher_disagreement_score":0.1623214,"about_ca_system_score_codex":0.00013117919,"about_ca_system_score_gemma":0.00031084046,"threshold_uncertainty_score":0.9999344},"labels":[],"label_agreement":null},{"id":"W4385623293","doi":"10.4171/rmi/1442","title":"Negative amphichiral knots and the half-Conway polynomial","year":2023,"lang":"en","type":"article","venue":"Revista Matemática Iberoamericana","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Alexander polynomial; Combinatorics; Polynomial; Knot theory; Knot (papermaking); Engineering; Mathematical analysis","score_opus":0.028407365575272927,"score_gpt":0.2928579304777466,"score_spread":0.2644505649024737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385623293","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9532677,0.00087198114,0.0007568426,0.021837695,0.0004026414,0.0013934781,0.000046990863,0.000682622,0.020740032],"genre_scores_gemma":[0.99378043,0.00024116534,0.0010336463,0.0005338004,0.00018588049,0.00007214805,0.000006303995,0.000045919638,0.0041006976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803305,0.0003064508,0.00046240762,0.00038528373,0.00026641443,0.00054636784],"domain_scores_gemma":[0.99656135,0.0024773076,0.00023867634,0.00051033375,0.000057367444,0.00015495309],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007662858,0.0002586944,0.00064688316,0.0002115053,0.0002539643,0.00011682922,0.0003265076,0.000080018675,0.00026149914],"category_scores_gemma":[0.0019641018,0.00016800762,0.00013076581,0.0013140016,0.0011322614,0.000078795594,0.00023611533,0.00024622623,0.00032421845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002056312,0.00006647973,0.00072516873,0.00025851867,0.00030426576,0.000056937926,0.0019827604,0.0000023006664,0.00011920495,0.9089227,0.0673216,0.020034447],"study_design_scores_gemma":[0.017971173,0.0008668043,0.034289002,0.00048062313,0.0014670059,0.00056847866,0.012972269,0.0035525877,0.0008534185,0.5492405,0.37439564,0.0033424785],"about_ca_topic_score_codex":0.00035808212,"about_ca_topic_score_gemma":0.0000128728625,"teacher_disagreement_score":0.35968214,"about_ca_system_score_codex":0.000039684106,"about_ca_system_score_gemma":0.00006571918,"threshold_uncertainty_score":0.6851152},"labels":[],"label_agreement":null},{"id":"W4385644341","doi":"10.48550/arxiv.2308.02275","title":"On the signature of a positive braid","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Braid; Signature (topology); Quarter (Canadian coin); Betti number; Mathematics; Bounded function; Braid group; Combinatorics; Pure mathematics; Geometry; Geography; Mathematical analysis","score_opus":0.13743973758425077,"score_gpt":0.22074304309932447,"score_spread":0.0833033055150737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385644341","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96957564,0.000031569933,0.01765006,0.0011392795,0.0005327266,0.0005441797,0.00014174935,0.00017466296,0.010210119],"genre_scores_gemma":[0.98908424,0.000028913451,0.00009898795,0.00015990586,0.00004286721,8.2724773e-7,0.0000123505315,0.000029088698,0.0105427895],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998829,0.00017117978,0.00017526014,0.00049230794,0.00009177513,0.00024047494],"domain_scores_gemma":[0.996337,0.002445287,0.0003057811,0.0007307837,0.00012252173,0.0000586184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002872285,0.0002347256,0.00037613948,0.00032822933,0.000085862426,0.000010492295,0.00070448517,0.00040328735,0.00025570169],"category_scores_gemma":[0.0006982715,0.00018667449,0.0002635219,0.0007408484,0.00020387107,0.000025116764,0.00071037177,0.0008302706,0.00012626195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003570335,0.00009434499,0.00015255724,0.00008183733,0.00022220874,0.00012487484,0.00028761732,0.0017237652,0.000016683154,0.990829,0.006393912,0.00003752924],"study_design_scores_gemma":[0.00023663958,0.0000889135,0.00096298184,0.00013818887,0.00014528028,0.0000013512563,0.00046867644,0.0010919453,0.00029103822,0.9963134,0.000061683866,0.00019991961],"about_ca_topic_score_codex":0.00007045879,"about_ca_topic_score_gemma":0.000019194145,"teacher_disagreement_score":0.019508617,"about_ca_system_score_codex":0.000067711975,"about_ca_system_score_gemma":0.000090038935,"threshold_uncertainty_score":0.7612365},"labels":[],"label_agreement":null},{"id":"W4385854188","doi":"10.4171/ggd/737","title":"Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)","year":2023,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Isometry (Riemannian geometry); Pure mathematics; Appendix; Combinatorics","score_opus":0.021669601134670934,"score_gpt":0.2651942711662463,"score_spread":0.24352467003157535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385854188","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8331172,0.00018557586,0.16454355,0.00017653668,0.00017418367,0.00019089306,0.0002628135,0.00014973705,0.0011995004],"genre_scores_gemma":[0.98898655,0.00008788784,0.006761594,0.00004771376,0.000055214405,0.000017353519,0.00046351118,0.00004106743,0.003539104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983498,0.00008815869,0.00040894942,0.00043628487,0.0002846271,0.00043221394],"domain_scores_gemma":[0.9979797,0.001107512,0.00025663633,0.00040512846,0.00009094031,0.00016007476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005822314,0.0002453727,0.00046449093,0.0008402904,0.00023199669,0.000028992916,0.00020590892,0.00023033207,0.00019433832],"category_scores_gemma":[0.0005148536,0.00021335843,0.00005806263,0.0036219377,0.0002516189,0.00033152965,0.00011399097,0.0003400787,0.000069859394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003349372,0.0017359697,0.07630858,0.00086226524,0.00065568753,0.000075722295,0.002142946,0.00022695457,0.0002638661,0.8938758,0.005194795,0.018322494],"study_design_scores_gemma":[0.006118972,0.010715966,0.03531351,0.0004140642,0.0008858831,0.00041954414,0.038967174,0.101928085,0.0004063853,0.7982404,0.0037047297,0.0028852723],"about_ca_topic_score_codex":0.000052499803,"about_ca_topic_score_gemma":0.000074221345,"teacher_disagreement_score":0.15778196,"about_ca_system_score_codex":0.000047019523,"about_ca_system_score_gemma":0.00003275284,"threshold_uncertainty_score":0.87005043},"labels":[],"label_agreement":null},{"id":"W4386115989","doi":"10.1093/imrn/rnad200","title":"Cofinal Elements and Fractional Dehn Twist Coefficients","year":2023,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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; University of Manitoba","funders":"","keywords":"Mathematics; Twist; Genus; Boundary (topology); Homeomorphism (graph theory); Combinatorics; Mapping class group; Action (physics); Class (philosophy); Translation (biology); Surface (topology); Pure mathematics; Mathematical analysis; Geometry; Botany","score_opus":0.2211358808325419,"score_gpt":0.48246949152949253,"score_spread":0.2613336106969506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386115989","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97135967,0.000042324646,0.0028693685,0.0029628074,0.0006282009,0.00035446842,0.00005978822,0.00017206767,0.021551302],"genre_scores_gemma":[0.9781386,0.000055515226,0.012164677,0.00005303426,0.00022774257,0.00005805978,0.000033906337,0.000030725976,0.009237721],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99707174,0.0000839645,0.00045289737,0.00031302735,0.0016019884,0.00047639152],"domain_scores_gemma":[0.9954583,0.003570585,0.00014877686,0.00022430955,0.00046344398,0.000134583],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002331967,0.00014300541,0.00020470539,0.0009374456,0.00025388217,0.00016737102,0.00051022135,0.0000872248,0.0009911328],"category_scores_gemma":[0.004765936,0.00012671552,0.000052619802,0.0007597331,0.00028364884,0.00016646029,0.00042884835,0.00034641774,0.0009108172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089205016,0.0012995888,0.008334162,0.0005203351,0.0004846633,0.00015250497,0.0021433071,0.000077114215,0.00067569106,0.8916711,0.087553024,0.0069992607],"study_design_scores_gemma":[0.0016128445,0.00029185336,0.010200339,0.00021446087,0.00004027253,0.000082771236,0.004169534,0.05855784,0.00043351555,0.8658257,0.058121968,0.00044889716],"about_ca_topic_score_codex":0.000020623695,"about_ca_topic_score_gemma":0.00001868409,"teacher_disagreement_score":0.05848072,"about_ca_system_score_codex":0.000084454645,"about_ca_system_score_gemma":0.00006448125,"threshold_uncertainty_score":0.9999221},"labels":[],"label_agreement":null},{"id":"W4386164381","doi":"10.1017/s0017089523000265","title":"Relative Dehn functions, hyperbolically embedded subgroups and combination theorems","year":2023,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland; Marianopolis College","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Conjugate; Graph; Finite group; Normal subgroup; Group (periodic table); Physics; Mathematical analysis","score_opus":0.03196310986510866,"score_gpt":0.29300727350120714,"score_spread":0.2610441636360985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386164381","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87490004,0.00011131468,0.10568591,0.003260555,0.0003982137,0.00031190334,0.000007241563,0.00032410267,0.015000687],"genre_scores_gemma":[0.9816081,0.00008769913,0.0121756205,0.0001517174,0.00026870915,0.000023143959,0.000007742955,0.00005192752,0.0056253355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979799,0.00020779151,0.00062495045,0.00024207614,0.00047521992,0.000470092],"domain_scores_gemma":[0.99685115,0.0022383893,0.00023780849,0.0002364533,0.00016093052,0.00027526286],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015095035,0.00022216499,0.00044679633,0.00042298777,0.00036518613,0.00011799096,0.00019910118,0.00019088679,0.0008102052],"category_scores_gemma":[0.003655198,0.00016716126,0.00014031083,0.0006986427,0.00025170005,0.00024526505,0.0001251764,0.00058466493,0.0008200807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022613538,0.00018980097,0.0002764891,0.000065602384,0.00009904452,0.000050241586,0.0009148193,0.0000011465437,0.0001423575,0.9866076,0.007346679,0.0042835693],"study_design_scores_gemma":[0.0009091901,0.00016042027,0.0019280119,0.000059295966,0.00009024895,0.001165814,0.001002625,0.0011033033,0.00004809645,0.99270815,0.00063528505,0.00018955264],"about_ca_topic_score_codex":6.568271e-7,"about_ca_topic_score_gemma":7.4612655e-7,"teacher_disagreement_score":0.106708035,"about_ca_system_score_codex":0.000051462666,"about_ca_system_score_gemma":0.00004920537,"threshold_uncertainty_score":0.9999579},"labels":[],"label_agreement":null},{"id":"W4386249663","doi":"10.1090/tran/9020","title":"A stability range for topological 4-manifolds","year":2023,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Algorithm; Annotation; Computer science; Artificial intelligence; Mathematics","score_opus":0.06991673630239156,"score_gpt":0.331363347710398,"score_spread":0.2614466114080064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386249663","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6177398,0.000008003864,0.37749362,0.0032533333,0.000087540604,0.0005854691,0.00006193707,0.00021223405,0.0005580646],"genre_scores_gemma":[0.9623812,0.000015252442,0.03654234,0.00013965413,0.0000325695,0.00012844837,0.0000010003071,0.00002114204,0.0007383803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866474,0.00008643439,0.00041330856,0.00022357353,0.00025732454,0.00035464216],"domain_scores_gemma":[0.99641997,0.00272514,0.00020489185,0.0005029575,0.000075262236,0.00007176084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007216401,0.00015044803,0.00050136686,0.000035186993,0.00021809785,0.0000084565645,0.00038750484,0.0000764016,0.0004958852],"category_scores_gemma":[0.0005672341,0.00009519327,0.0008448537,0.0011768303,0.0009856449,0.00003604578,0.00003166488,0.00017752625,0.000026690968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002796175,0.00360119,0.0022810793,0.002752611,0.0014116823,0.0000020495631,0.012161102,0.00008505605,0.00431763,0.9323734,0.023751216,0.016983377],"study_design_scores_gemma":[0.00051617174,0.00023505792,0.002203758,0.000019679042,0.00019918586,0.000008567891,0.0046063038,0.0021955974,0.0015451417,0.9879205,0.00036327168,0.00018673792],"about_ca_topic_score_codex":0.000020494752,"about_ca_topic_score_gemma":0.0000037889718,"teacher_disagreement_score":0.34464142,"about_ca_system_score_codex":0.00004291126,"about_ca_system_score_gemma":0.00003608977,"threshold_uncertainty_score":0.5429595},"labels":[],"label_agreement":null},{"id":"W4386502677","doi":"10.1007/s10711-023-00835-6","title":"Bounds for Kirby–Thompson invariants of knotted surfaces","year":2023,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Hyperbolic geometry; Algebraic geometry; Differential geometry; Projective geometry; Mathematics; Combinatorics; Pure mathematics; Geometry; Algebra over a field","score_opus":0.13713343720112356,"score_gpt":0.38047893845561864,"score_spread":0.24334550125449508,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386502677","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98149145,0.0004724802,0.009035105,0.0028842199,0.0014067758,0.00089901884,0.00045253316,0.00038829749,0.002970151],"genre_scores_gemma":[0.9902783,0.00011693855,0.0059937993,0.00009750755,0.00023774292,0.00006118293,0.00030070933,0.000048396807,0.0028653913],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977746,0.00007202393,0.0006694746,0.0004117154,0.00045850547,0.00061370817],"domain_scores_gemma":[0.99515474,0.0034901276,0.00036205916,0.00066507194,0.00016942387,0.00015857005],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0019143823,0.00021023858,0.0006186159,0.001813555,0.00013292412,0.000026371272,0.0006428807,0.0002402715,0.0008743758],"category_scores_gemma":[0.011658402,0.00018912031,0.00017571743,0.00616348,0.00018787249,0.00010311343,0.00024116173,0.00015944307,0.00020170173],"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":[0.0003136094,0.00086743344,0.019043172,0.0017708561,0.00093391753,0.000039926832,0.0011211762,0.000021767966,0.0037515825,0.1570319,0.78325444,0.031850237],"study_design_scores_gemma":[0.010611497,0.0013666371,0.07351737,0.00020701301,0.0005998345,0.00004992627,0.0018106072,0.002175621,0.014017519,0.71948665,0.17474157,0.0014157569],"about_ca_topic_score_codex":0.000051619987,"about_ca_topic_score_gemma":0.00001149269,"teacher_disagreement_score":0.6085129,"about_ca_system_score_codex":0.000029665187,"about_ca_system_score_gemma":0.00011851489,"threshold_uncertainty_score":0.9966668},"labels":[],"label_agreement":null},{"id":"W4386625545","doi":"10.1007/s10474-023-01364-0","title":"Nearly fibered links with genus one","year":2023,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Geometric and Algebraic Topology","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":"Mathematics; Fibered knot; Combinatorics; Euler characteristic; Homology (biology); Sigma; Floer homology; Rank (graph theory); Pure mathematics; Physics","score_opus":0.05942869801548164,"score_gpt":0.30480266783483295,"score_spread":0.2453739698193513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386625545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93310845,0.00012306125,0.007288597,0.018303253,0.0006406563,0.0013974436,0.00004729836,0.002045671,0.037045565],"genre_scores_gemma":[0.9248406,0.00005036389,0.036099546,0.00053589797,0.00026328352,0.00013288097,0.000029427316,0.00014378711,0.037904203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99547356,0.00014775868,0.0008367779,0.00089754025,0.0012718474,0.0013725316],"domain_scores_gemma":[0.9962502,0.0015869039,0.00044821034,0.0011211236,0.00017003524,0.0004235404],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0019892708,0.0004558617,0.0008060481,0.0009232406,0.0005227923,0.0001764253,0.0012348606,0.0008249673,0.0016042934],"category_scores_gemma":[0.0021772906,0.00036288597,0.00019881997,0.0045493427,0.0005454238,0.0003800358,0.00052311644,0.0015762307,0.0018081227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013577689,0.0014598378,0.0015582278,0.0015659842,0.0011227042,0.00020308675,0.009518554,0.000014804107,0.010882034,0.48335388,0.4789049,0.011280225],"study_design_scores_gemma":[0.0035898932,0.0007890327,0.009683247,0.0005959748,0.000937723,0.00037333497,0.0022147365,0.0037951032,0.008329284,0.9110225,0.056249496,0.0024196797],"about_ca_topic_score_codex":0.00000907591,"about_ca_topic_score_gemma":0.000006019453,"teacher_disagreement_score":0.42766863,"about_ca_system_score_codex":0.00007917246,"about_ca_system_score_gemma":0.00015892068,"threshold_uncertainty_score":0.9998823},"labels":[],"label_agreement":null},{"id":"W4386702471","doi":"10.1134/s0081543823020098","title":"Lie Algebras and Integrable Systems: Elastic Curves and Rolling Geodesics","year":2023,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric and Algebraic Topology","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":"Isospectral; Geodesic; Mathematics; Integrable system; Lie algebra; Pure mathematics; Tangent; Lie group; Affine connection; Quadratic equation; Affine transformation; Invariant (physics); Lie conformal algebra; Algebra over a field; Loop algebra; Mathematical analysis; Geometry; Mathematical physics; Current algebra","score_opus":0.039136770454556755,"score_gpt":0.26786396506040777,"score_spread":0.228727194605851,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386702471","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9932709,0.0012650802,0.00077791844,0.0003990858,0.00032578871,0.0005696598,0.0000128082975,0.00010392742,0.0032748363],"genre_scores_gemma":[0.983079,0.0011659344,0.014129767,0.000024334242,0.000055526132,0.000027747947,0.0000011332601,0.00004195733,0.0014746104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838257,0.000008344852,0.00070089847,0.00022927288,0.00038521795,0.00029369388],"domain_scores_gemma":[0.9983546,0.0005042369,0.00063805905,0.00018498217,0.00024163372,0.00007648772],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094754546,0.00023100054,0.00064733246,0.00026326088,0.00012944684,0.000036820693,0.0003838481,0.00012589956,0.000005794085],"category_scores_gemma":[0.0029374494,0.0001601804,0.00008529334,0.0008523229,0.00047855964,0.00022325187,0.00037256978,0.00020353583,0.000004850156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011626211,0.00014716678,0.002577714,0.027108414,0.00025055857,0.0000018909041,0.0022994247,0.000023791654,0.0013541658,0.9603245,0.0052578407,0.0006429036],"study_design_scores_gemma":[0.0015254309,0.00035989183,0.0010368513,0.011182033,0.0009300302,0.00031189635,0.012578802,0.0072538806,0.008793388,0.953527,0.0017773426,0.00072348973],"about_ca_topic_score_codex":0.00002103757,"about_ca_topic_score_gemma":0.0000029398118,"teacher_disagreement_score":0.015926382,"about_ca_system_score_codex":0.000018140629,"about_ca_system_score_gemma":0.000038899296,"threshold_uncertainty_score":0.6531967},"labels":[],"label_agreement":null},{"id":"W4386923340","doi":"10.1007/s00010-023-00981-y","title":"Spatial graphoids","year":2023,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Modulo; Graph; Combinatorics; Degree (music); Discrete mathematics","score_opus":0.08290650839568346,"score_gpt":0.33750324050606095,"score_spread":0.2545967321103775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386923340","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71409386,0.00005962517,0.2483194,0.0033283387,0.00076832925,0.0007325775,0.000014713181,0.0019384952,0.030744638],"genre_scores_gemma":[0.9864301,0.00001620192,0.008225049,0.00008807254,0.00013801774,0.00008067048,0.000020470843,0.000036284284,0.0049651284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986418,0.000055610482,0.0004025747,0.00022217959,0.00034538913,0.00033248006],"domain_scores_gemma":[0.99793226,0.0013877423,0.00013588395,0.00039476278,0.00007211726,0.000077248405],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00059769367,0.00015378179,0.00027378436,0.00041986,0.00013826718,0.000028143442,0.0002169889,0.00009014527,0.0011943236],"category_scores_gemma":[0.0019008605,0.00013112708,0.00010790574,0.0012703897,0.00008138469,0.00008685915,0.000080161895,0.00009607494,0.004153302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000043960617,0.00008670195,0.0002879711,0.0001034913,0.00004013527,0.00000932407,0.0006589077,0.0000021808587,0.00019424345,0.98095614,0.010409485,0.0072470433],"study_design_scores_gemma":[0.0002848676,0.00003683005,0.0017395448,0.000019194205,0.000033106164,0.000014803332,0.0003147471,0.0015745178,0.00045918472,0.99405193,0.0013027904,0.0001684696],"about_ca_topic_score_codex":0.00001765893,"about_ca_topic_score_gemma":0.000012595167,"teacher_disagreement_score":0.2723362,"about_ca_system_score_codex":0.000016544736,"about_ca_system_score_gemma":0.000026820175,"threshold_uncertainty_score":0.9997187},"labels":[],"label_agreement":null},{"id":"W4387075728","doi":"10.3934/jmd.2025018","title":"On the Hofer–Zehnder conjecture for semipositive symplectic manifolds","year":2025,"lang":"en","type":"preprint","venue":"Journal of Modern Dynamics","topic":"Geometric and Algebraic Topology","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; Courtois Foundation; Université de Montréal; National Science Foundation","keywords":"Contractible space; Symplectic geometry; Diffeomorphism; Conjecture; Betti number; Hamiltonian (control theory); Mathematics; Symplectic manifold; Pure mathematics; Floer homology; Homology (biology); Manifold (fluid mechanics); Symplectomorphism; Biology; Genetics","score_opus":0.03453637437581759,"score_gpt":0.3166833269726714,"score_spread":0.2821469525968538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387075728","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16041614,0.000678486,0.8254956,0.0073644733,0.0019713326,0.0009002515,0.00030005787,0.00003265351,0.0028409774],"genre_scores_gemma":[0.98906255,0.00011276448,0.0053112973,0.000932401,0.0003831371,0.000022032347,0.000016708273,0.000049793474,0.004109295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807674,0.00016793236,0.00075446384,0.0002712866,0.00039659897,0.00033296348],"domain_scores_gemma":[0.9933778,0.00443748,0.0011487266,0.0004800076,0.0004784534,0.00007753401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085506623,0.00036631897,0.00080225524,0.00042488525,0.0001315881,0.0000723797,0.000748975,0.0006006901,0.000044642333],"category_scores_gemma":[0.0015183357,0.0002369716,0.0005917389,0.00017731372,0.00007801961,0.000031698022,0.00030329553,0.0016205261,0.0000020887665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022526122,0.00027669995,0.00009298401,0.00064134435,0.0014918789,0.000042026273,0.0009028343,0.0061927703,0.0000044290878,0.9740517,0.0126409475,0.0034371228],"study_design_scores_gemma":[0.00054343976,0.00026119754,0.00007624307,0.0003956989,0.0005284284,0.00012749905,0.0001209292,0.058418147,0.000024739269,0.93921757,0.00008232831,0.00020375219],"about_ca_topic_score_codex":0.000007260664,"about_ca_topic_score_gemma":0.000047398084,"teacher_disagreement_score":0.8286464,"about_ca_system_score_codex":0.00047931136,"about_ca_system_score_gemma":0.00049570744,"threshold_uncertainty_score":0.9663421},"labels":[],"label_agreement":null},{"id":"W4387293457","doi":"10.17863/cam.107241","title":"Hyperbolicity in non-metric cubical small-cancellation","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Newnham College, University of Cambridge; Natural Sciences and Engineering Research Council of Canada; Cambridge Trust; National Science Foundation","keywords":"Quotient; Metric (unit); Cube (algebra); Mathematics; Pure mathematics; Hyperbolic group; Hyperbolic geometry; Hyperbolic manifold; Topology (electrical circuits); Mathematical analysis; Combinatorics; Hyperbolic function; Algebraic geometry; Engineering","score_opus":0.18956688678976152,"score_gpt":0.23751212538843897,"score_spread":0.04794523859867744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387293457","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9494988,0.000029419045,0.04500971,0.00012186307,0.00063400395,0.0003991643,0.00001714361,0.00020292807,0.0040869648],"genre_scores_gemma":[0.99184835,0.00019840428,0.0007791936,0.000034296005,0.0001442311,0.0000019646125,0.00002031128,0.000042599404,0.0069306684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981245,0.00013270094,0.0003363924,0.0008536395,0.00009449356,0.000458281],"domain_scores_gemma":[0.9980497,0.00077635737,0.0002652241,0.0006827345,0.00009074049,0.000135254],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004325531,0.00031310588,0.00058605045,0.0015310455,0.00007176179,0.000023721574,0.0006030864,0.0006120777,0.00014491346],"category_scores_gemma":[0.00059500296,0.00036471206,0.00021359047,0.002774961,0.00011378022,0.000054059637,0.0009028034,0.0008900625,0.0003055998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024264715,0.0012497652,0.23670532,0.0014548432,0.0005434899,0.0021260658,0.0010640569,0.1561074,0.000053526775,0.5903607,0.0059513915,0.0041408204],"study_design_scores_gemma":[0.0012889272,0.0000716925,0.07485665,0.0001469303,0.00019333519,0.0000054058632,0.00030045072,0.07944425,0.00006150376,0.84255517,0.00031357448,0.0007621255],"about_ca_topic_score_codex":0.00084600766,"about_ca_topic_score_gemma":0.00059582107,"teacher_disagreement_score":0.2521945,"about_ca_system_score_codex":0.00032094386,"about_ca_system_score_gemma":0.00013035562,"threshold_uncertainty_score":0.9998805},"labels":[],"label_agreement":null},{"id":"W4387341319","doi":"10.4153/s0008439523000760","title":"A new upper bound for the asymptotic dimension of RACGs","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Coxeter group; Combinatorics; Dimension (graph theory); Graph; Clique; Upper and lower bounds; Clique number; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.03440156333605277,"score_gpt":0.28239011039207473,"score_spread":0.24798854705602197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387341319","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65276265,0.00081684097,0.079451434,0.23061791,0.0013621994,0.004928302,0.00015637577,0.000528163,0.029376138],"genre_scores_gemma":[0.9022997,0.00002382259,0.028265255,0.0015184787,0.00035431885,0.00014563068,0.000017076976,0.00011965413,0.06725605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986587,0.00003656167,0.0003845298,0.0001995941,0.00019907925,0.00052150583],"domain_scores_gemma":[0.99494934,0.003968834,0.00009110407,0.0005614987,0.000070213515,0.00035902346],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000657443,0.00015289703,0.00033825726,0.00025698182,0.00016108573,0.000025224854,0.0004094434,0.00012743536,0.010068041],"category_scores_gemma":[0.0052560717,0.000104132734,0.00016007524,0.0004982172,0.00012543838,0.000012239807,0.00007215383,0.00012378709,0.00398769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006435554,0.000016922493,0.000026782125,0.00014729895,0.00004902675,0.000006747357,0.00039386094,0.0000023865387,0.000025610694,0.5639425,0.4337442,0.0016382738],"study_design_scores_gemma":[0.00043485267,0.00006969761,0.0002682692,0.00006355532,0.00009130064,0.000021376603,0.0004963602,0.00043020837,0.0001342615,0.8907685,0.107065804,0.00015579471],"about_ca_topic_score_codex":0.00069995795,"about_ca_topic_score_gemma":0.0004890219,"teacher_disagreement_score":0.32682607,"about_ca_system_score_codex":0.000054042062,"about_ca_system_score_gemma":0.0002524419,"threshold_uncertainty_score":0.99678785},"labels":[],"label_agreement":null},{"id":"W4387349802","doi":"10.1214/23-ecp546","title":"Effective drift estimates for random walks on graph products","year":2023,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Geometric and Algebraic Topology","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; Universities Space Research Association","keywords":"Mathematics; Random walk; Combinatorics; Vertex (graph theory); Graph; Random graph; Simple random sample; Random regular graph; Measure (data warehouse); Simple (philosophy); Discrete mathematics; Line graph; Statistics; 1-planar graph; Computer science","score_opus":0.052623128209387096,"score_gpt":0.35408691209204746,"score_spread":0.3014637838826604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387349802","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.961791,0.0017134929,0.0045196884,0.017200949,0.00023179791,0.009917928,0.00003021825,0.0009285222,0.003666413],"genre_scores_gemma":[0.9880686,0.00011948939,0.008627497,0.000037016478,0.000021174197,0.0028471171,0.000053090538,0.000023958133,0.00020209758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812657,0.00036521073,0.00040571747,0.00039580162,0.00012960802,0.00057710946],"domain_scores_gemma":[0.9897382,0.007804775,0.000119368044,0.0021612889,0.0001411759,0.000035152287],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0026201871,0.00017712764,0.00036144955,0.00033674718,0.00025544944,0.000017016548,0.0008196857,0.000107307504,0.00001676781],"category_scores_gemma":[0.009537013,0.00016079377,0.00010585071,0.0018784793,0.00026886,0.000059630063,0.0002376226,0.00047017462,0.000032680276],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018009741,0.0008695484,0.0023668143,0.0001892122,0.00008352937,2.9715332e-7,0.0007060653,0.00006107308,0.000113487215,0.97361434,0.0017162729,0.02009924],"study_design_scores_gemma":[0.0014555006,0.0002699264,0.005568866,0.000026109687,0.000031185882,0.0000021303335,0.00005249862,0.0010073077,0.0006757541,0.9876727,0.0030825154,0.00015553593],"about_ca_topic_score_codex":0.000028497414,"about_ca_topic_score_gemma":0.00034374194,"teacher_disagreement_score":0.026277568,"about_ca_system_score_codex":0.00026769488,"about_ca_system_score_gemma":0.00016668202,"threshold_uncertainty_score":0.99880606},"labels":[],"label_agreement":null},{"id":"W4387686976","doi":"10.48550/arxiv.2310.08657","title":"Holomorphic curves in Stein domains and the tau-invariant","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Université du Québec à Montréal","keywords":"Holomorphic function; Conjecture; Invariant (physics); Homology (biology); Mathematics; Cohomology; Pure mathematics; Combinatorics; Mathematical physics","score_opus":0.1459008847957773,"score_gpt":0.2232915842834187,"score_spread":0.07739069948764138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387686976","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9857979,0.0005282965,0.008440965,0.0022491876,0.00038938405,0.0007360071,0.00004194597,0.00017735953,0.0016389829],"genre_scores_gemma":[0.991709,0.0023180288,0.00015597447,0.00016728973,0.000051306743,0.0000032991848,0.000011863343,0.000030323672,0.0055529405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982844,0.0003854663,0.00026600136,0.0006417623,0.000082342005,0.00034003725],"domain_scores_gemma":[0.9974149,0.0014876395,0.00024390942,0.00072102895,0.000048937658,0.00008359779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010287031,0.00026704918,0.00056867045,0.00041576684,0.00010119745,0.000026249027,0.000594577,0.00030479455,0.00008035585],"category_scores_gemma":[0.0005783145,0.00021883026,0.00014380131,0.0008359407,0.0005321114,0.000052272924,0.0012671858,0.0007597707,0.00006665994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008275776,0.00008366853,0.0034219627,0.00048620536,0.00014868805,0.00076990016,0.000413902,0.00077568437,0.0000019035807,0.9915492,0.0022182143,0.000047943147],"study_design_scores_gemma":[0.0021836183,0.000029824796,0.006055592,0.00034254033,0.00019802878,0.000014147251,0.00067444093,0.004151756,0.0000054165585,0.9858961,0.00012968766,0.0003188237],"about_ca_topic_score_codex":0.0006146829,"about_ca_topic_score_gemma":0.0005305958,"teacher_disagreement_score":0.008284991,"about_ca_system_score_codex":0.000075243144,"about_ca_system_score_gemma":0.000084732565,"threshold_uncertainty_score":0.8923639},"labels":[],"label_agreement":null},{"id":"W4387708094","doi":"10.1007/s10208-023-09623-w","title":"Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points","year":2023,"lang":"en","type":"article","venue":"Foundations of Computational Mathematics","topic":"Geometric and Algebraic Topology","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; Forcing (mathematics); Computability; Partial differential equation; Floer homology; Morse code; Morse theory; Applied mathematics; Mathematical analysis; Pure mathematics; Discrete mathematics; Computer science","score_opus":0.08952213081817073,"score_gpt":0.3830744277024426,"score_spread":0.29355229688427187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387708094","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2721492,0.000020702304,0.7241814,0.00163795,0.00020290999,0.00046506067,0.00044672072,0.00012740734,0.00076864957],"genre_scores_gemma":[0.6223517,6.605044e-7,0.37695366,0.00002723405,0.00004018951,0.000013569912,0.0005193086,0.000026408572,0.00006722787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971661,0.000106535845,0.0014995821,0.00033733074,0.00053844514,0.00035199957],"domain_scores_gemma":[0.97445554,0.023286583,0.00096185645,0.0001927858,0.0010247302,0.000078537705],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.001304623,0.0002334516,0.0006273605,0.0006388114,0.00033085173,0.000032739583,0.00029449884,0.00015985264,0.00005378601],"category_scores_gemma":[0.010266488,0.00024191402,0.00018501133,0.0010745116,0.00038782365,0.00023091144,0.0001504167,0.00018823192,0.000028467195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033573997,0.00045569765,0.00008278593,0.00085379626,0.00022052982,0.0000023931182,0.0060841786,0.03231918,0.000031787535,0.95465124,0.0047785053,0.00048635353],"study_design_scores_gemma":[0.0010460253,0.00015638216,0.00026458022,0.00013179997,0.000091754606,0.00003209448,0.0018548354,0.20060064,0.0001447923,0.7954382,0.00006229176,0.0001766197],"about_ca_topic_score_codex":0.000008559009,"about_ca_topic_score_gemma":0.0000016681289,"teacher_disagreement_score":0.35020253,"about_ca_system_score_codex":0.00005490164,"about_ca_system_score_gemma":0.00016865361,"threshold_uncertainty_score":0.9980705},"labels":[],"label_agreement":null},{"id":"W43882796","doi":"","title":"Hyperhamiltonicity Of The Cartesian Product Of Two Directed Cycles.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Geometric and Algebraic Topology","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":"Cartesian product; Mathematics; Product (mathematics); Combinatorics; Geometry","score_opus":0.015748186784744406,"score_gpt":0.2610002338938697,"score_spread":0.24525204710912532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W43882796","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9907372,0.00018077824,0.000005791466,0.00018843188,0.00069497514,0.0002095035,0.000006013193,0.000052644453,0.007924642],"genre_scores_gemma":[0.99889356,0.0000023545554,0.0005199473,0.000011128291,0.000012333806,0.000005434844,0.0000014765624,0.000014469861,0.0005392946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894816,0.00010040587,0.00035987535,0.00016848059,0.00022787957,0.00019523063],"domain_scores_gemma":[0.99879426,0.00026474797,0.00025586475,0.00053153,0.00012954911,0.000024071065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024415067,0.0001144073,0.00031783117,0.000079223304,0.00005283692,0.0000034242228,0.00029803306,0.000051377912,0.000041249623],"category_scores_gemma":[0.00042625878,0.0000819056,0.00011237609,0.0006696045,0.00019507727,0.00003009226,0.000092322916,0.00012019578,0.000003382502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004452465,0.0002981361,0.04583869,0.000046566478,0.00002633191,9.925828e-7,0.00009040817,0.0000024987382,0.0021648912,0.949001,0.0022972077,0.00022879115],"study_design_scores_gemma":[0.0006354887,0.000028710492,0.088813365,0.000017411854,0.00004254144,0.000004959334,0.000023430563,0.00001769409,0.043421388,0.8667585,0.00015409241,0.000082416074],"about_ca_topic_score_codex":0.0005740178,"about_ca_topic_score_gemma":0.00004332781,"teacher_disagreement_score":0.082242526,"about_ca_system_score_codex":0.000025318019,"about_ca_system_score_gemma":0.000062009785,"threshold_uncertainty_score":0.33400133},"labels":[],"label_agreement":null},{"id":"W4388632547","doi":"10.1142/s0129167x23501094","title":"Contact non-squeezing and orderability via the shape invariant","year":2023,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Cotangent bundle; Invariant (physics); Pure mathematics; Trigonometric functions; Class (philosophy); Identity (music); Unit (ring theory); Geometry; Mathematical physics; Computer science; Physics; Artificial intelligence","score_opus":0.04333546939514571,"score_gpt":0.32526061791350164,"score_spread":0.28192514851835593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388632547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96936953,0.000052733438,0.023171557,0.0057124062,0.0006892865,0.0001281228,0.0000051485035,0.000027062904,0.0008441725],"genre_scores_gemma":[0.9918394,0.00007239625,0.0074651726,0.00017877703,0.00025453046,0.0000028248614,9.0302643e-7,0.00001540469,0.00017056408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985595,0.000051968316,0.0006417758,0.00009179754,0.0004994416,0.00015552517],"domain_scores_gemma":[0.99678224,0.002110583,0.00051584607,0.00015553806,0.00037441062,0.00006136762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016377388,0.0001148725,0.00027113318,0.00023889884,0.000070541,0.00006139276,0.00047885167,0.00006162022,0.00020076716],"category_scores_gemma":[0.0022961071,0.00007093312,0.00010533852,0.00023745393,0.000076460354,0.000119752825,0.00015485502,0.00025092854,0.00003369542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016130421,0.0016984856,0.012690684,0.00063516304,0.0029229207,0.0012398519,0.025657354,0.000092746304,0.006628347,0.86385727,0.027366973,0.0570489],"study_design_scores_gemma":[0.0009995031,0.00014217698,0.0061270436,0.00015391219,0.00008457135,0.0016263948,0.0023606915,0.011214977,0.00045633543,0.97531563,0.0013561029,0.00016263782],"about_ca_topic_score_codex":0.000007657831,"about_ca_topic_score_gemma":0.0000054624197,"teacher_disagreement_score":0.11145838,"about_ca_system_score_codex":0.000043763266,"about_ca_system_score_gemma":0.000057322493,"threshold_uncertainty_score":0.28925687},"labels":[],"label_agreement":null},{"id":"W4389733972","doi":"10.1007/s00208-023-02775-8","title":"Hofer geometry via toric degeneration","year":2023,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Eidgenössische Technische Hochschule Zürich; Université de Montréal; Yuhan; Centre de Recherches Mathématiques; École Normale Supérieure","keywords":"Mathematics; Hypersurface; Torus; Lagrangian; Quadric; Fibration; Hamiltonian (control theory); Geometry; Pure mathematics; Homotopy","score_opus":0.08453256218370436,"score_gpt":0.3354051173761537,"score_spread":0.25087255519244933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389733972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9449974,0.0002822629,0.038648665,0.0015559887,0.00052869663,0.0003729965,0.000013858203,0.0008284336,0.012771722],"genre_scores_gemma":[0.9381129,0.0000777252,0.015024624,0.0002748633,0.00055001595,0.00010867522,0.000046044563,0.000084248735,0.045720875],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984099,0.00006968723,0.0004005205,0.00030751093,0.00035374446,0.00045861438],"domain_scores_gemma":[0.9987259,0.00046752536,0.00014641164,0.00046418028,0.00008713095,0.00010887156],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007214425,0.00020749234,0.0003383246,0.0005490808,0.00015675761,0.000038673825,0.00027018323,0.0001643606,0.0012308882],"category_scores_gemma":[0.0006909696,0.0001782387,0.0001225591,0.0017379496,0.000047017937,0.00015066775,0.00013360637,0.00017411007,0.003585272],"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":[0.000017433153,0.00032958068,0.002028123,0.00059539446,0.00022305998,0.000091882466,0.002256321,0.000020227033,0.004769768,0.4353215,0.5252803,0.0290664],"study_design_scores_gemma":[0.00070058706,0.00014517819,0.0043435656,0.00005657971,0.00010150707,0.000111112444,0.00038753418,0.0016558027,0.007936893,0.9527371,0.03118209,0.0006420598],"about_ca_topic_score_codex":0.000009198189,"about_ca_topic_score_gemma":0.0000059749264,"teacher_disagreement_score":0.5174156,"about_ca_system_score_codex":0.000027635719,"about_ca_system_score_gemma":0.000027470633,"threshold_uncertainty_score":0.9996821},"labels":[],"label_agreement":null},{"id":"W4390306844","doi":"10.48550/arxiv.2312.15827","title":"Trees of Graphs as Boundaries of Hyperbolic Groups","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; Narodowe Centrum Nauki","keywords":"Mathematics; Word (group theory); Combinatorics; Tree (set theory); Characterization (materials science); Pure mathematics; Geometry; Physics","score_opus":0.13212335938718406,"score_gpt":0.23099210040628504,"score_spread":0.09886874101910098,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390306844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918549,0.000098298835,0.003739508,0.00005760226,0.0004991297,0.00021491287,0.00006144948,0.00013165154,0.0033425654],"genre_scores_gemma":[0.9943776,0.00022702549,0.00039077908,0.00001086426,0.00003280372,7.027887e-7,0.00001532946,0.000034599743,0.0049102954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986301,0.000101390666,0.0003688981,0.0005072695,0.00011294071,0.00027942104],"domain_scores_gemma":[0.99786705,0.0005390555,0.0005465915,0.00078959303,0.0001725674,0.000085153704],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00025584857,0.00026489564,0.0007544866,0.0008184189,0.00009097588,0.000017079803,0.00068208185,0.0003780305,0.00019308063],"category_scores_gemma":[0.000484661,0.00028629444,0.00037528397,0.0010612442,0.0008630228,0.000058025806,0.0008486269,0.0003651234,0.000050675102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048608235,0.0001532928,0.007827297,0.00043409716,0.0003220036,0.00007633475,0.0005208965,0.00052743027,0.000040214225,0.9891956,0.00074017746,0.00011405236],"study_design_scores_gemma":[0.00042236174,0.00010829855,0.004522331,0.00009982133,0.000285443,0.00000389878,0.0009142789,0.00034509128,0.00040147267,0.99235266,0.00029983002,0.00024449447],"about_ca_topic_score_codex":0.0008204827,"about_ca_topic_score_gemma":0.00024117513,"teacher_disagreement_score":0.0033487289,"about_ca_system_score_codex":0.000042872678,"about_ca_system_score_gemma":0.00023674499,"threshold_uncertainty_score":0.99995893},"labels":[],"label_agreement":null},{"id":"W4390367741","doi":"10.1007/s10711-023-00876-x","title":"Knot groups, quandle extensions and orderability","year":2023,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Mathematics; Knot (papermaking); Group (periodic table); Prime (order theory); Combinatorics; Link (geometry); Pure mathematics; Chemistry","score_opus":0.09893459718535422,"score_gpt":0.3512721637301728,"score_spread":0.25233756654481854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390367741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99072284,0.0005691807,0.0024776119,0.0034595137,0.00050936773,0.00031591897,0.00005964804,0.00043382964,0.0014521052],"genre_scores_gemma":[0.9961224,0.00029560135,0.0018799753,0.00020265816,0.0001885605,0.00003153916,0.000082339335,0.000028562323,0.0011683498],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807864,0.00009800088,0.00042083068,0.00050408207,0.00036037792,0.00053808896],"domain_scores_gemma":[0.99619263,0.0026251648,0.00011905984,0.0007227235,0.00008601404,0.0002543877],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015716199,0.00019150169,0.00042097477,0.0011173924,0.00024173415,0.00003378337,0.00030268397,0.0001805473,0.0010004898],"category_scores_gemma":[0.0116603505,0.00016268094,0.00008503934,0.0045807427,0.00024806033,0.000091874965,0.00041310428,0.00026208878,0.00046440822],"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":[0.00010406239,0.00091367756,0.059536614,0.0005028108,0.00035577008,0.00016734606,0.0011937213,0.0000029932758,0.00054728327,0.2891444,0.54197705,0.105554305],"study_design_scores_gemma":[0.002580436,0.0003129383,0.19265333,0.000041298965,0.00015705758,0.00011782131,0.0011937054,0.00035370534,0.00022902554,0.73801386,0.06368652,0.0006603048],"about_ca_topic_score_codex":0.000073509626,"about_ca_topic_score_gemma":0.000026060758,"teacher_disagreement_score":0.4782905,"about_ca_system_score_codex":0.000024324132,"about_ca_system_score_gemma":0.0000527149,"threshold_uncertainty_score":0.99991274},"labels":[],"label_agreement":null},{"id":"W4390532027","doi":"10.1016/j.topol.2023.108813","title":"Slope inequalities for the geography problem of nonspin symplectic 4-manifolds","year":2024,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo","keywords":"Mathematics; Symplectic geometry; Signature (topology); Euler characteristic; Euler's formula; Pure mathematics; Manifold (fluid mechanics); Symplectic manifold; Value (mathematics); Mathematical analysis; Geometry","score_opus":0.04068625263712318,"score_gpt":0.32700271083747695,"score_spread":0.2863164582003538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390532027","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19441974,0.06120873,0.66454136,0.044561796,0.00058714295,0.007382248,0.00045462718,0.00067997916,0.026164385],"genre_scores_gemma":[0.99452794,0.0003699254,0.002623802,0.000119546436,0.00009183404,0.0010111559,0.0000075409835,0.00001220415,0.0012360308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993681,0.000027018545,0.00023065503,0.00016959793,0.000045222216,0.00015941393],"domain_scores_gemma":[0.99757963,0.0021126205,0.00005461321,0.0001678967,0.00006007781,0.000025150235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027196622,0.000084714746,0.00015784203,0.00015313995,0.00018750574,0.000012170562,0.0001345495,0.0000894683,0.0001382741],"category_scores_gemma":[0.00007565823,0.000057446156,0.000061043196,0.00036731688,0.00020879203,0.000032420376,0.000041667798,0.00009046919,0.000010218746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000032648252,0.000031042473,0.0001181016,0.00022676254,0.00007837801,1.3192312e-7,0.00027953988,5.6242004e-7,0.00005411362,0.99329406,0.0012160217,0.0046979985],"study_design_scores_gemma":[0.00012364975,0.000097321696,0.00052641716,0.000012165766,0.00013680763,0.000021366675,0.00041264086,0.00016615602,0.0002899716,0.93832105,0.059811126,0.00008130029],"about_ca_topic_score_codex":0.000019195493,"about_ca_topic_score_gemma":0.000017289032,"teacher_disagreement_score":0.8001082,"about_ca_system_score_codex":0.000004952903,"about_ca_system_score_gemma":0.00003428554,"threshold_uncertainty_score":0.23425862},"labels":[],"label_agreement":null},{"id":"W4390602066","doi":"10.1007/s00031-023-09835-y","title":"Pauli Matrices and Ring Puzzles","year":2024,"lang":"en","type":"article","venue":"Transformation Groups","topic":"Geometric and Algebraic Topology","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ring (chemistry); Pauli matrices; Algebra over a field; Pure mathematics; Combinatorics; Mathematical physics","score_opus":0.028980735555883527,"score_gpt":0.293907172059038,"score_spread":0.26492643650315445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390602066","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84537685,0.0025830246,0.12982862,0.0025303771,0.00031893578,0.00022635874,0.000011342571,0.00046350225,0.018661018],"genre_scores_gemma":[0.99754477,0.00026077457,0.001804849,0.00004281499,0.00006437837,0.000010462094,0.000005321425,0.000010615732,0.00025602666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941605,0.000018029412,0.00020865773,0.00010414177,0.00011257313,0.00014052854],"domain_scores_gemma":[0.99964523,0.00021273954,0.000019762389,0.000068331115,0.000012731668,0.000041229527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021950279,0.00008561835,0.000111304864,0.00021775867,0.00006748755,0.000072372626,0.000054566237,0.000058238646,0.00016819822],"category_scores_gemma":[0.00002504695,0.00006950821,0.000036585254,0.00030316896,0.00003270246,0.0003347963,0.000008294206,0.00009750369,0.000083081766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041289672,0.000015615615,0.000059018992,0.0006470588,0.00003000364,0.000005951982,0.004998109,0.0000015125039,0.00008582979,0.9350994,0.0007595953,0.058293745],"study_design_scores_gemma":[0.000596262,0.00008588779,0.0014930436,0.00014558213,0.00011908295,0.00019051423,0.0026366157,0.0054995096,0.0010557648,0.95121354,0.03661613,0.00034805134],"about_ca_topic_score_codex":0.0000067174174,"about_ca_topic_score_gemma":0.000007351762,"teacher_disagreement_score":0.15216793,"about_ca_system_score_codex":0.000012599697,"about_ca_system_score_gemma":0.000008801204,"threshold_uncertainty_score":0.28344628},"labels":[],"label_agreement":null},{"id":"W4390842419","doi":"10.1112/jlms.12859","title":"Bott‐integrable Reeb flows on 3‐manifolds","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Deutsche Forschungsgemeinschaft","keywords":"Integrable system; Mathematics; Torus; Invariant (physics); Pure mathematics; Graph; Connected sum; Topology (electrical circuits); Mathematical analysis; Geometry; Combinatorics; Mathematical physics; Simply connected space","score_opus":0.031596241474259205,"score_gpt":0.3019227603398845,"score_spread":0.2703265188656253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390842419","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8371555,0.0027403352,0.076840274,0.039169315,0.004640733,0.000803896,0.000020530222,0.0002989753,0.038330402],"genre_scores_gemma":[0.9178007,0.00018939961,0.053580232,0.0014317873,0.0013146715,0.000009356541,4.5376675e-7,0.00010508243,0.025568292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99789834,0.00011201242,0.00076315977,0.00017053523,0.0007078361,0.00034813138],"domain_scores_gemma":[0.9972233,0.0018703385,0.0002666253,0.00040064214,0.00010679766,0.00013225942],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016594101,0.0002175831,0.00050617696,0.00007761129,0.0001404005,0.00010553066,0.0006099435,0.00019737188,0.0011457908],"category_scores_gemma":[0.0012673569,0.00011104415,0.0012033895,0.0005757487,0.00011873366,0.0001128898,0.00012472818,0.00092063495,0.00020905814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022012342,0.000385755,0.00003087703,0.00059142424,0.00042934594,0.000043459848,0.0013814614,0.000018644902,0.0005205061,0.69486123,0.299684,0.002031295],"study_design_scores_gemma":[0.000361723,0.00019963265,0.00004054804,0.0005709005,0.00020728027,0.0004770764,0.00045606293,0.0022307432,0.00097386114,0.9764868,0.01784391,0.00015145126],"about_ca_topic_score_codex":0.0000014802993,"about_ca_topic_score_gemma":7.584604e-7,"teacher_disagreement_score":0.28184006,"about_ca_system_score_codex":0.00014579485,"about_ca_system_score_gemma":0.00010103327,"threshold_uncertainty_score":0.9997673},"labels":[],"label_agreement":null},{"id":"W4392154915","doi":"10.1007/s00208-024-02811-1","title":"Correction to: Finite type invariants of w-knotted objects II: tangles, foams and the Kashiwara–Vergne problem","year":2024,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Interpretation (philosophy); Mathematics; Section (typography); Resolution (logic); Type (biology); Pure mathematics; Algebra over a field; Artificial intelligence; Computer science","score_opus":0.03167011600827413,"score_gpt":0.2916847380584941,"score_spread":0.26001462205021997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392154915","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80235785,0.011210718,0.051197924,0.012322354,0.0049999086,0.0042418796,0.00009664825,0.0010433607,0.11252936],"genre_scores_gemma":[0.97067803,0.000096423435,0.0074203275,0.00020164106,0.000121490055,0.000052410123,0.00000626944,0.000042895415,0.021380503],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986232,0.000115769566,0.0004426192,0.00029108342,0.0002577024,0.00026962615],"domain_scores_gemma":[0.99751544,0.0018092082,0.00013727225,0.00034583115,0.00011454176,0.00007771339],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009022759,0.00020114021,0.0004253816,0.00025558038,0.00013301095,0.00005432266,0.0002239155,0.00010605155,0.0003166077],"category_scores_gemma":[0.002012813,0.0001302072,0.000088884655,0.0010663113,0.00014675254,0.00011492229,0.0002209865,0.00024285092,0.00013063909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024395452,0.00033192162,0.00018991092,0.0017841219,0.0006121536,0.00004261379,0.025952583,0.000020161262,0.0011233962,0.6396873,0.3053666,0.02464525],"study_design_scores_gemma":[0.0019912228,0.0009021585,0.0008049364,0.0017255752,0.00046808002,0.00033721945,0.0015891555,0.007431432,0.004064482,0.95298684,0.027047731,0.0006511527],"about_ca_topic_score_codex":0.000056371417,"about_ca_topic_score_gemma":0.000038269645,"teacher_disagreement_score":0.31329954,"about_ca_system_score_codex":0.00001845012,"about_ca_system_score_gemma":0.00007606234,"threshold_uncertainty_score":0.53096956},"labels":[],"label_agreement":null},{"id":"W4392646833","doi":"10.1016/j.dam.2024.02.021","title":"Metric spaces in which many triangles are degenerate","year":2024,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Geometric and Algebraic Topology","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":"Horizon 2020 Framework Programme; Agence Nationale de la Recherche; Grantová Agentura České Republiky; Univerzita Karlova v Praze","keywords":"Mathematics; Degenerate energy levels; Metric space; Metric (unit); Combinatorics; Discrete mathematics; Algebra over a field; Pure mathematics","score_opus":0.03521962646800665,"score_gpt":0.29880754060297376,"score_spread":0.2635879141349671,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392646833","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83234674,0.0032979446,0.09173423,0.001738077,0.0007579506,0.0015655602,0.00007363158,0.00095886533,0.067527026],"genre_scores_gemma":[0.94983584,0.00012107853,0.04810484,0.000057509773,0.00017915707,0.0001486521,0.00001385164,0.00009789702,0.0014411748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977613,0.00003774614,0.0007206973,0.000497021,0.00041011078,0.0005731407],"domain_scores_gemma":[0.99789953,0.0012047545,0.00019459688,0.00052995596,0.00005087642,0.000120282755],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008073883,0.00037606037,0.0007054349,0.0010559902,0.000079490455,0.00019081582,0.00037676955,0.00023359446,0.000337557],"category_scores_gemma":[0.0006172978,0.00030009288,0.00013119711,0.0032915277,0.00007783874,0.00009855772,0.0001541907,0.00037978232,0.0003727795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009109911,0.00015143106,0.000049863094,0.0011590658,0.000097310134,0.00007146816,0.0020162202,0.00002074871,0.00042870032,0.99160486,0.0027078225,0.0016833945],"study_design_scores_gemma":[0.0007962381,0.00004857409,0.00019313702,0.00028116646,0.00018642061,0.000052418938,0.0049954355,0.004904361,0.0020310944,0.9816513,0.0042121266,0.0006477221],"about_ca_topic_score_codex":0.000009657492,"about_ca_topic_score_gemma":0.00006949761,"teacher_disagreement_score":0.11748912,"about_ca_system_score_codex":0.00008536226,"about_ca_system_score_gemma":0.00007083575,"threshold_uncertainty_score":0.9999451},"labels":[],"label_agreement":null},{"id":"W4392968716","doi":"10.1007/978-3-031-43502-7_6","title":"Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type","year":2024,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"","keywords":"Conformal map; Type (biology); Pure mathematics; Mathematics; Mathematical analysis; Geology; Paleontology","score_opus":0.052286239335847105,"score_gpt":0.2859941772734171,"score_spread":0.23370793793756997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392968716","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004231181,0.0010418769,0.000113159855,0.00004948945,0.0005159098,0.0001782008,0.000058937032,0.00006233709,0.9937489],"genre_scores_gemma":[0.103646144,0.0001852131,0.0009356817,0.000040919836,0.000059330967,0.0000011003314,0.000014444489,0.000050503535,0.8950667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866,0.000013816827,0.00066628744,0.0002033725,0.00026800463,0.00018847741],"domain_scores_gemma":[0.99811643,0.0009027117,0.00037506397,0.00037856842,0.00017865382,0.000048560814],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00039605054,0.00027803605,0.0007383272,0.00046724855,0.00001497715,0.0000072180114,0.00023598278,0.00042636518,0.0116937375],"category_scores_gemma":[0.0001527277,0.00020759793,0.00021100539,0.000098030934,0.00027842307,0.000035833673,0.00017425614,0.00031109844,0.00035029365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036337486,0.000016374453,0.000011702688,0.00056987983,0.00033236228,0.000005940081,0.00024658366,7.3510836e-7,0.000023167033,0.99375355,0.0038194936,0.0011838975],"study_design_scores_gemma":[0.00019376959,0.0002539161,0.000016283286,0.00020815969,0.00023042476,0.0000106819725,0.00018366636,0.000006102336,0.00049161125,0.91963255,0.07854118,0.00023165921],"about_ca_topic_score_codex":0.000012270647,"about_ca_topic_score_gemma":0.000009106492,"teacher_disagreement_score":0.09941496,"about_ca_system_score_codex":0.000014012813,"about_ca_system_score_gemma":0.00008881785,"threshold_uncertainty_score":0.9892097},"labels":[],"label_agreement":null},{"id":"W4393308613","doi":"10.1112/blms.13042","title":"Hyperbolicity in non‐metric cubical small‐cancellation","year":2024,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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; National Science Foundation","keywords":"Mathematics; Quotient; Metric (unit); Cube (algebra); Hyperbolic group; Pure mathematics; Hyperbolic tree; Hyperbolic manifold; Hyperbolic function; Mathematical analysis; Combinatorics","score_opus":0.023896834968453184,"score_gpt":0.27223241845073326,"score_spread":0.24833558348228008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393308613","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93723136,0.0009143441,0.025799088,0.014905283,0.000471838,0.00091371295,0.000012124661,0.00017861577,0.019573651],"genre_scores_gemma":[0.96873176,0.000060063474,0.025112627,0.00028298827,0.00013241058,0.000030160638,0.0000010062568,0.00003660855,0.005612366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982964,0.00010048218,0.0005989513,0.00029033292,0.0003665334,0.00034731717],"domain_scores_gemma":[0.997245,0.0021322877,0.000113567316,0.0003986687,0.000044134664,0.000066326276],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001009719,0.0001935503,0.00045914832,0.00009306092,0.00006527457,0.000029966983,0.00040480442,0.00022931295,0.0014552169],"category_scores_gemma":[0.0011996871,0.00012572909,0.00048392502,0.0011237042,0.00022591524,0.000013983802,0.00023106694,0.0004403895,0.00019731036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003250801,0.0011422301,0.001797315,0.004363135,0.00024200793,0.000013005647,0.0030590876,0.00008274127,0.0008084325,0.8253488,0.1521718,0.010938924],"study_design_scores_gemma":[0.0008355589,0.00008070625,0.0036766822,0.00054708595,0.0001412159,0.00004278374,0.000364054,0.008343465,0.0021666118,0.95228523,0.0311439,0.00037268404],"about_ca_topic_score_codex":0.00004337115,"about_ca_topic_score_gemma":0.000003729986,"teacher_disagreement_score":0.12693645,"about_ca_system_score_codex":0.00009427334,"about_ca_system_score_gemma":0.000041278072,"threshold_uncertainty_score":0.9994576},"labels":[],"label_agreement":null},{"id":"W4393425038","doi":"10.1093/imrn/rnae053","title":"Arithmetic Trialitarian Hyperbolic Lattices Are Not Locally Extended Residually Finite","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mathematics; Arithmetic; Pure mathematics","score_opus":0.22342498486522736,"score_gpt":0.4555342442029498,"score_spread":0.23210925933772245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393425038","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6382195,0.0044959267,0.04890844,0.08109355,0.009955761,0.0038652893,0.000625007,0.0022846395,0.2105519],"genre_scores_gemma":[0.9494376,0.00013719885,0.03332492,0.00016179825,0.0010189908,0.00012014133,0.000018464098,0.000097137054,0.015683718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9947665,0.00039920534,0.000988604,0.00068042777,0.0023825332,0.00078275637],"domain_scores_gemma":[0.9831861,0.0149751045,0.000225982,0.0006253566,0.00075598864,0.00023146669],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0050209435,0.00033115014,0.00054548896,0.0016632123,0.00024128976,0.0008608014,0.0014086199,0.00024774706,0.0016596806],"category_scores_gemma":[0.016460095,0.000271484,0.00022833153,0.0011220867,0.00044600558,0.00043137383,0.00048025104,0.00095262803,0.0013032049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008988036,0.0007482138,0.000055979428,0.0010919033,0.0005953734,0.00042644824,0.0023624431,0.000059850685,0.00026054916,0.98161286,0.007318704,0.005377823],"study_design_scores_gemma":[0.00082069566,0.00021980166,0.00052333984,0.00092585693,0.00010827805,0.00007028567,0.002496044,0.033156738,0.0007344957,0.93625003,0.024256125,0.00043832962],"about_ca_topic_score_codex":0.00008584003,"about_ca_topic_score_gemma":0.0001269916,"teacher_disagreement_score":0.31121814,"about_ca_system_score_codex":0.00019033282,"about_ca_system_score_gemma":0.00029090414,"threshold_uncertainty_score":0.9999737},"labels":[],"label_agreement":null},{"id":"W4394654588","doi":"10.48550/arxiv.0904.4482","title":"Equations and fully residually free groups","year":2009,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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","score_opus":0.09806029396561797,"score_gpt":0.3188552002306928,"score_spread":0.22079490626507484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394654588","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9734119,0.0008605548,0.011429162,0.00453456,0.00042463015,0.0003903945,0.000038689384,0.00021565794,0.0086944355],"genre_scores_gemma":[0.9854466,0.00016508729,0.010173763,0.00045021818,0.0004259368,0.000036288307,0.00003991665,0.00004133502,0.0032208874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982142,0.0001131841,0.0004937768,0.0005520188,0.00025310367,0.00037374324],"domain_scores_gemma":[0.9975507,0.0008057612,0.00029346615,0.0011058528,0.00011184051,0.00013236926],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048108943,0.00031712448,0.0005087727,0.00031305835,0.00014014689,0.000047537524,0.0005493227,0.00048338916,0.00027542183],"category_scores_gemma":[0.002891146,0.00030237838,0.000121232486,0.00024969364,0.00013423077,0.00005644344,0.0009271023,0.000724121,0.00011823704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004260474,0.0006057057,0.10863852,0.0007156998,0.00048011047,0.0001445558,0.002311929,0.000032069296,0.00017818985,0.8192349,0.058732804,0.008882906],"study_design_scores_gemma":[0.00045449342,0.00009196979,0.12397095,0.000076940756,0.00014498735,0.000014689671,0.0001330991,0.000030275689,0.00006559248,0.8735563,0.0011044411,0.00035626636],"about_ca_topic_score_codex":0.000067322035,"about_ca_topic_score_gemma":0.000110405985,"teacher_disagreement_score":0.057628363,"about_ca_system_score_codex":0.000046010395,"about_ca_system_score_gemma":0.00012529499,"threshold_uncertainty_score":0.99994284},"labels":[],"label_agreement":null},{"id":"W4394983704","doi":"10.1007/s00208-024-02845-5","title":"Equidistribution of hyperbolic groups in homogeneous spaces","year":2024,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; Technion-Israel Institute of Technology; National Science Foundation","keywords":"Mathematics; Homogeneous; Pure mathematics; Relatively hyperbolic group; Kleinian group; Hyperbolic manifold; Mathematical analysis; Hyperbolic function; Combinatorics","score_opus":0.04900175468257417,"score_gpt":0.3243804014651571,"score_spread":0.27537864678258295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394983704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98187816,0.004065664,0.0075338394,0.00063169026,0.00014849011,0.00020553432,0.000036539983,0.00012803703,0.005372065],"genre_scores_gemma":[0.99540925,0.00010820273,0.003043433,0.000016642256,0.000075381286,0.000024306208,0.000009206807,0.000024580357,0.0012889698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988046,0.00005536065,0.00041860322,0.00023081481,0.00020984224,0.0002807206],"domain_scores_gemma":[0.99910057,0.00046018188,0.000085074535,0.00026791496,0.000038485097,0.00004780509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005319666,0.00015364074,0.00036079032,0.0003408474,0.000025280262,0.000029219573,0.00019403221,0.000119322714,0.0004169655],"category_scores_gemma":[0.00040543888,0.00012831099,0.00011043287,0.0007482244,0.00008163714,0.00009811117,0.00008492381,0.00015772923,0.00015230075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014847045,0.0003118787,0.000716861,0.0017078273,0.000118034535,0.00015428137,0.0031213276,0.000006028994,0.0029693386,0.9696498,0.008977726,0.0122520635],"study_design_scores_gemma":[0.00035354454,0.00015939987,0.0009837819,0.00047992976,0.00008122709,0.00026762055,0.0006024797,0.0010723295,0.010161035,0.9767278,0.008788117,0.00032277315],"about_ca_topic_score_codex":0.000027945733,"about_ca_topic_score_gemma":0.000016852844,"teacher_disagreement_score":0.013531138,"about_ca_system_score_codex":0.00002783418,"about_ca_system_score_gemma":0.00003673776,"threshold_uncertainty_score":0.52323705},"labels":[],"label_agreement":null},{"id":"W4395006181","doi":"10.4153/s0008439524000262","title":"Adjoint Reidemeister torsions of some 3-manifolds obtained by Dehn surgeries","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjecture; Knot (papermaking); Torsion (gastropod); Pure mathematics; Manifold (fluid mechanics); Dehn surgery; Combinatorics; Surgery","score_opus":0.022193368742811304,"score_gpt":0.26086274492965433,"score_spread":0.23866937618684303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395006181","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74061304,0.0064057154,0.013534491,0.10724412,0.0018031315,0.0018357456,0.000820699,0.00091041264,0.12683265],"genre_scores_gemma":[0.9705458,0.000025937972,0.0031053897,0.0006893737,0.00013199211,0.00004346422,0.000020510255,0.000068592395,0.02536889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998074,0.00008260677,0.00066582987,0.00032868452,0.00025427627,0.00059458095],"domain_scores_gemma":[0.9972952,0.0015896417,0.00007655676,0.00042238904,0.000069060356,0.00054715085],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006187244,0.00024248555,0.0005493184,0.0003945884,0.00009396491,0.00005615851,0.00026076287,0.00021187436,0.033568323],"category_scores_gemma":[0.002040768,0.00020482045,0.00020195196,0.00039102975,0.00023461158,0.000046308505,0.00006085275,0.00023605724,0.0036568574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000030935867,0.000036946654,0.0000103899765,0.00040479228,0.000049689064,0.00006287829,0.00020601528,1.0614978e-7,0.000068427784,0.62766963,0.37109202,0.00039601428],"study_design_scores_gemma":[0.00013947998,0.00007298704,0.000023267152,0.00024153719,0.000081643266,0.00006646774,0.00035248714,0.00007723397,0.00070111325,0.67190826,0.3260432,0.00029235767],"about_ca_topic_score_codex":0.00081591285,"about_ca_topic_score_gemma":0.00030715915,"teacher_disagreement_score":0.22993281,"about_ca_system_score_codex":0.00013728242,"about_ca_system_score_gemma":0.00027271622,"threshold_uncertainty_score":0.9971189},"labels":[],"label_agreement":null},{"id":"W4395053198","doi":"10.1016/j.jnt.2024.03.008","title":"A note on the two variable Artin's conjecture","year":2024,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Conjecture; Variable (mathematics); Artin L-function; Pure mathematics; Conductor; Geometry; Mathematical analysis","score_opus":0.02330226145709963,"score_gpt":0.32110841342323626,"score_spread":0.29780615196613663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395053198","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4572754,0.0017929971,0.122704394,0.030113364,0.0072759446,0.0004932747,0.000109603534,0.00019572342,0.3800393],"genre_scores_gemma":[0.985422,0.000011135832,0.0033498816,0.0012756105,0.0008984785,0.0000025800045,5.462045e-7,0.000027180573,0.009012561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989575,0.00023175658,0.00031593945,0.00008806299,0.00022666635,0.00018006485],"domain_scores_gemma":[0.9936858,0.0058491984,0.00016428788,0.0001842162,0.00006020568,0.000056284447],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017711534,0.000110265486,0.00021548526,0.00010208938,0.00006336362,0.000052620748,0.00022326042,0.00006850971,0.013255442],"category_scores_gemma":[0.0016266978,0.000056278328,0.00015275684,0.0003348966,0.00007569539,0.00005973905,0.00003331563,0.0005739449,0.00033816378],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034489236,0.000045778845,0.000012521355,0.00002167439,0.00010578855,0.00011043582,0.00044621225,0.000007522752,0.00007535184,0.8945418,0.10215809,0.0024403168],"study_design_scores_gemma":[0.00018006498,0.00006715963,0.000015770838,0.00011548784,0.000069962174,0.00067345606,0.00018396914,0.000032327924,0.0001994743,0.8941511,0.104249224,0.00006202266],"about_ca_topic_score_codex":0.0000012974963,"about_ca_topic_score_gemma":5.001941e-7,"teacher_disagreement_score":0.5281466,"about_ca_system_score_codex":0.000036321668,"about_ca_system_score_gemma":0.00009898625,"threshold_uncertainty_score":0.9876466},"labels":[],"label_agreement":null},{"id":"W4395099407","doi":"10.1007/978-3-031-48679-1_15","title":"Quaternary Legendre Pairs","year":2023,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Quaternary; Legendre polynomials; Geology; Mathematics; Pure mathematics; Paleontology; Mathematical analysis","score_opus":0.20979285718616678,"score_gpt":0.35105934617974033,"score_spread":0.14126648899357355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395099407","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000032588883,0.00074552133,0.002023395,0.00662836,0.0011631873,0.00032537084,0.000103359656,0.0005161756,0.98846203],"genre_scores_gemma":[0.009211014,0.0032340488,0.0064553316,0.00030976388,0.0002334793,0.000054053235,0.00033129952,0.00008670715,0.9800843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9987306,0.000033649154,0.0005107338,0.0002785813,0.00020737603,0.00023904808],"domain_scores_gemma":[0.9955327,0.00070927554,0.00025764407,0.0033095125,0.00010108652,0.00008977546],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00021163603,0.00029066735,0.0004291137,0.00035978857,0.00033204863,0.000028064214,0.0017888128,0.0006751187,0.0007186313],"category_scores_gemma":[0.00030486155,0.00029640237,0.0002297756,0.00011990859,0.000408883,0.000091145695,0.0011164346,0.0010392684,0.0016999068],"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":[0.0000015224158,0.00002656762,0.000008261728,0.000044276025,0.000116819836,0.000017914708,0.00018456069,0.0000012855533,3.196307e-7,0.92639655,0.06983356,0.0033683728],"study_design_scores_gemma":[0.000088694185,0.000024063773,0.000007283831,0.00009652097,0.00006711075,0.000015857677,0.000031102834,0.00002536842,0.0000013982417,0.4954442,0.5039955,0.00020289942],"about_ca_topic_score_codex":0.0000942867,"about_ca_topic_score_gemma":0.0009570491,"teacher_disagreement_score":0.43416193,"about_ca_system_score_codex":0.000052830903,"about_ca_system_score_gemma":0.0001392098,"threshold_uncertainty_score":0.9999488},"labels":[],"label_agreement":null},{"id":"W4395464637","doi":"10.1007/s12220-024-01623-8","title":"Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics","year":2024,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Geometric and Algebraic Topology","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":"National Science Foundation","keywords":"Euler characteristic; Differential geometry; Homotopy; Mathematics; Euler's formula; Pure mathematics; Graph; Manifold (fluid mechanics); Einstein; Topology (electrical circuits); Mathematical analysis; Discrete mathematics; Combinatorics","score_opus":0.04428764742013872,"score_gpt":0.31615111191158884,"score_spread":0.2718634644914501,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395464637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5692965,0.030085608,0.39608216,0.0011787433,0.0006467536,0.00013576722,0.000024993758,0.000089919165,0.0024595791],"genre_scores_gemma":[0.9735545,0.00069089484,0.024424879,0.00008444892,0.00028871966,7.540795e-7,0.000003578244,0.000023742123,0.000928468],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974052,0.00012998095,0.0010131325,0.00028137866,0.0008250626,0.00034529934],"domain_scores_gemma":[0.99658394,0.002142283,0.00046638533,0.00025801032,0.00028196792,0.00026741493],"candidate_categories":["bibliometrics","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013078051,0.00023961194,0.0010411851,0.009470589,0.00009360131,0.00017113889,0.00034639923,0.00017448554,0.001480345],"category_scores_gemma":[0.0025600374,0.00017413277,0.000661926,0.030048074,0.00010909435,0.00018860224,0.00011547212,0.00048567026,0.000014366174],"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":[0.00015014102,0.000874347,0.06453005,0.0009277426,0.04608274,0.0030003495,0.0009242052,0.0007456225,0.00031026485,0.2990029,0.11839775,0.4650539],"study_design_scores_gemma":[0.00330966,0.0025868819,0.20194192,0.00012101325,0.0486352,0.0037540677,0.0028395576,0.023389466,0.00028689127,0.50841403,0.20263582,0.0020854997],"about_ca_topic_score_codex":0.000049143084,"about_ca_topic_score_gemma":0.0000087809085,"teacher_disagreement_score":0.46296838,"about_ca_system_score_codex":0.000117216114,"about_ca_system_score_gemma":0.00008767327,"threshold_uncertainty_score":0.99943244},"labels":[],"label_agreement":null},{"id":"W4395702743","doi":"10.1007/s11856-024-2612-2","title":"The Poisson bracket invariant on surfaces","year":2024,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Poisson bracket; Invariant (physics); Bracket; Algebra over a field; Pure mathematics; Poisson distribution; Poisson algebra; Statistics; Mathematical physics; Lie algebra","score_opus":0.048305027604417725,"score_gpt":0.3264012241977478,"score_spread":0.27809619659333007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395702743","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95933443,0.004693578,0.011065073,0.011765274,0.0024713855,0.00027688415,0.000011829436,0.000110443056,0.010271081],"genre_scores_gemma":[0.9776566,0.00047592877,0.017242132,0.0002109267,0.0004951004,0.0000026950427,3.981536e-7,0.00005871431,0.0038575293],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981227,0.000099070916,0.00081965263,0.000115362294,0.00055855734,0.000284643],"domain_scores_gemma":[0.99356943,0.00546952,0.00040824717,0.00030829784,0.00014451177,0.00009997081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022499838,0.00018290359,0.00037664987,0.00023614676,0.00014651481,0.00019612756,0.00048772668,0.00010292626,0.00008391617],"category_scores_gemma":[0.0023190067,0.0000976808,0.00021936538,0.0004047746,0.00010995444,0.0000915774,0.000059726233,0.0004837604,0.00014393446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001716948,0.00024500288,0.000025793861,0.00026444043,0.00026077675,0.00027621305,0.0014670634,0.000014331695,0.00018190726,0.9595668,0.031297248,0.006383296],"study_design_scores_gemma":[0.00031719686,0.0003838839,0.0000692581,0.0005093401,0.00014829947,0.0013564493,0.0032683203,0.0010043305,0.0010106383,0.9691195,0.022638626,0.00017418845],"about_ca_topic_score_codex":0.0000031801737,"about_ca_topic_score_gemma":0.000007918821,"teacher_disagreement_score":0.018322123,"about_ca_system_score_codex":0.00005425012,"about_ca_system_score_gemma":0.00011473109,"threshold_uncertainty_score":0.39833072},"labels":[],"label_agreement":null},{"id":"W4396611893","doi":"10.1112/jlms.12907","title":"The Hrushovski property for compact special cube complexes","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Injective function; Isometry (Riemannian geometry); Embedding; Automorphism; Cube (algebra); Mathematics; Pure mathematics; Property (philosophy); Discrete mathematics; Combinatorics; Computer science; Artificial intelligence","score_opus":0.05302690206339237,"score_gpt":0.32857875983944174,"score_spread":0.27555185777604935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396611893","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41208363,0.008141568,0.25676984,0.27115124,0.0158607,0.0057393615,0.00014693786,0.00043301532,0.029673742],"genre_scores_gemma":[0.8511505,0.0005182184,0.07482401,0.0019709896,0.017597217,0.00004356906,0.0000021003416,0.0002470613,0.05364633],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804837,0.000112094196,0.000787497,0.00013419683,0.0005421024,0.00037573648],"domain_scores_gemma":[0.99461657,0.0044813235,0.0003200215,0.00031078947,0.00016737233,0.00010389653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020016215,0.00019334629,0.00047867608,0.000031427964,0.00043981208,0.00020268111,0.0007444641,0.0001178592,0.00027358907],"category_scores_gemma":[0.0016628663,0.00006791703,0.0012639929,0.0003461985,0.0003748068,0.000100902056,0.000110075845,0.00054894824,0.00003367768],"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":[0.00003360984,0.00015557281,0.000028668392,0.00038344794,0.000365917,0.0000034166083,0.0010967412,0.0000047805424,0.0001942382,0.44520658,0.5498274,0.002699657],"study_design_scores_gemma":[0.00041336275,0.000119513876,0.00007636072,0.00018105852,0.00019386028,0.00024812136,0.00060015696,0.0018574252,0.00040816734,0.8474866,0.1483023,0.00011306441],"about_ca_topic_score_codex":0.0000012961913,"about_ca_topic_score_gemma":0.0000018165176,"teacher_disagreement_score":0.4390669,"about_ca_system_score_codex":0.00011321451,"about_ca_system_score_gemma":0.0001295779,"threshold_uncertainty_score":0.33827233},"labels":[],"label_agreement":null},{"id":"W4396659166","doi":"10.4213/faa4191","title":"Лиувиллевость и граница Пуассона блужданий с бесконечной энтропией: что не так?","year":2024,"lang":"ru","type":"article","venue":"Функциональный анализ и его приложения","topic":"Geometric and Algebraic Topology","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":"Poisson distribution; Random walk; Property (philosophy); Mathematics; Statistical physics; Entropy (arrow of time); Physics; Statistics; Philosophy; Quantum mechanics; Epistemology","score_opus":0.03586491532301391,"score_gpt":0.3203134349680551,"score_spread":0.2844485196450412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396659166","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4094583,0.10774773,0.016994243,0.03205345,0.050679866,0.0071501723,0.0021714927,0.00851094,0.3652338],"genre_scores_gemma":[0.83044326,0.0027399834,0.005225847,0.001958018,0.0060177073,0.00030136897,0.00024543708,0.0009307891,0.15213756],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9842688,0.0009349682,0.0037229639,0.0038993633,0.0026154346,0.0045585074],"domain_scores_gemma":[0.98849696,0.004445078,0.00088249345,0.0038921386,0.0005905207,0.0016928046],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0030746125,0.002854144,0.0033464232,0.0029984317,0.0010856076,0.0015595193,0.002947056,0.002529604,0.02695273],"category_scores_gemma":[0.0026914214,0.0027554561,0.0021602274,0.0064418544,0.0015340628,0.0012256282,0.0016279339,0.0038839458,0.037740745],"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":[0.000264339,0.0023192961,0.0017182262,0.0057124957,0.0031369969,0.0039615864,0.007358222,0.000067284716,0.0010583162,0.44225234,0.44567162,0.08647929],"study_design_scores_gemma":[0.003343679,0.0015205648,0.0015271902,0.0022179203,0.0025387383,0.001425745,0.003518076,0.00396156,0.003311306,0.18562002,0.78639656,0.004618656],"about_ca_topic_score_codex":0.00050006964,"about_ca_topic_score_gemma":0.00021381342,"teacher_disagreement_score":0.42098498,"about_ca_system_score_codex":0.0009650959,"about_ca_system_score_gemma":0.0015995475,"threshold_uncertainty_score":0.99947697},"labels":[],"label_agreement":null},{"id":"W4398719050","doi":"10.1016/j.jalgebra.2024.05.015","title":"Weak Tits alternative for groups acting geometrically on buildings","year":2024,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","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; Narodowe Centrum Nauki","keywords":"Mathematics; Abelian group; Automorphism; Group (periodic table); Pure mathematics; Type (biology); Combinatorics; Ecology; Biology; Physics","score_opus":0.04827519224323818,"score_gpt":0.33840877524968027,"score_spread":0.2901335830064421,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398719050","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8883908,0.0010578606,0.09754012,0.0040037706,0.002926151,0.00027194337,0.000012471125,0.0000793432,0.005717539],"genre_scores_gemma":[0.97830194,0.000072795796,0.018414339,0.00022538191,0.0014268842,0.000004796325,7.1600965e-7,0.00004419244,0.0015089673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844253,0.00004056191,0.00060538016,0.00018844014,0.0004147671,0.00030833398],"domain_scores_gemma":[0.99571216,0.0034165566,0.000386814,0.00012762427,0.00022520396,0.00013164195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010204769,0.00017050204,0.00040080448,0.0011873968,0.00007739796,0.00009726637,0.00031409028,0.00010994464,0.00021668684],"category_scores_gemma":[0.003567108,0.00012595582,0.00031719086,0.00093043083,0.00004104491,0.00021467482,0.000050818653,0.000462084,0.000048527465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015606756,0.0002559859,0.00009776624,0.000265771,0.0006332198,0.00016585874,0.00094901037,0.000024822637,0.0007906417,0.8550644,0.05126073,0.090335734],"study_design_scores_gemma":[0.0011839427,0.0017635487,0.00022403801,0.00043957017,0.00022286481,0.00045667353,0.0005760418,0.00046377815,0.0049080476,0.9077008,0.081747495,0.00031321886],"about_ca_topic_score_codex":0.0000026677453,"about_ca_topic_score_gemma":6.484915e-7,"teacher_disagreement_score":0.09002252,"about_ca_system_score_codex":0.00012094311,"about_ca_system_score_gemma":0.00008402888,"threshold_uncertainty_score":0.5136329},"labels":[],"label_agreement":null},{"id":"W4398763346","doi":"10.1090/tran/9223","title":"Centralizers of Hamiltonian finite cyclic group actions on rational ruled surfaces","year":2024,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Cyclic group; Hamiltonian (control theory); Group (periodic table); Finite group; Algebra over a field; Physics; Quantum mechanics; Mathematical optimization","score_opus":0.030161566851286476,"score_gpt":0.29885504611507807,"score_spread":0.2686934792637916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398763346","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6404378,0.00046917028,0.3433391,0.009519558,0.0010192309,0.0011184517,0.0008655204,0.00023083505,0.0030003788],"genre_scores_gemma":[0.9801736,0.0003983789,0.016672617,0.00015599093,0.00006573633,0.00003372788,0.0000066533303,0.00006241023,0.0024309172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969789,0.00025871606,0.0010670224,0.0004288682,0.0007495485,0.0005169428],"domain_scores_gemma":[0.9939747,0.0044793305,0.0005324216,0.00075673754,0.00010055152,0.00015626421],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00054949493,0.00040080253,0.0009674122,0.00015483874,0.0003284299,0.00005173757,0.0005668549,0.0001819767,0.001992101],"category_scores_gemma":[0.00027616823,0.00029128633,0.0016667861,0.0021279654,0.0023034362,0.00012665679,0.00003538092,0.00073339243,0.00012334669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030908227,0.009632052,0.00034043158,0.009738349,0.009532661,0.000008284761,0.026537843,0.010640828,0.014484613,0.8888982,0.011351875,0.018525787],"study_design_scores_gemma":[0.003281359,0.0031242243,0.010511954,0.0045390828,0.008098542,0.00014500125,0.03642219,0.14633419,0.015794706,0.7604136,0.008792915,0.0025422734],"about_ca_topic_score_codex":0.00015008103,"about_ca_topic_score_gemma":0.000014033379,"teacher_disagreement_score":0.3397358,"about_ca_system_score_codex":0.00015961427,"about_ca_system_score_gemma":0.00019074946,"threshold_uncertainty_score":0.9999539},"labels":[],"label_agreement":null},{"id":"W4398783817","doi":"10.4171/jems/1466","title":"The wrapped Fukaya category for semi-toric Calabi–Yau","year":2024,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Azrieli Foundation; Israel Science Foundation; Hebrew University of Jerusalem; Simons Foundation Autism Research Initiative; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Fibration; Divisor (algebraic geometry); Mirror symmetry; Pure mathematics; Cohomology; Calabi–Yau manifold; Manifold (fluid mechanics); Infinity; Algebra over a field; Section (typography); Mathematical analysis; Homotopy","score_opus":0.03458133362269111,"score_gpt":0.2978550710751861,"score_spread":0.263273737452495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4398783817","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22536923,0.012922076,0.58805376,0.06397572,0.012443196,0.0027311004,0.000054663786,0.0005513033,0.09389894],"genre_scores_gemma":[0.9519267,0.00018835971,0.014994367,0.0005155913,0.0027799017,0.000010521996,5.772765e-7,0.00015486777,0.029429104],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782294,0.0003452104,0.00083301135,0.00015643115,0.0004579672,0.00038446664],"domain_scores_gemma":[0.9950147,0.0039511994,0.0003564134,0.00039568453,0.00015892167,0.00012304922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0046682167,0.00020019473,0.00035410808,0.00003584919,0.00040382223,0.00016331708,0.0008589038,0.000078743054,0.00007640651],"category_scores_gemma":[0.002149175,0.000089372916,0.0011105713,0.00043579546,0.00025403468,0.00008348889,0.00020299632,0.00062125555,0.000087567],"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":[0.000022338516,0.00023328837,0.000025071186,0.0008872902,0.000666182,0.000027684258,0.005033271,0.000009215619,0.0005058215,0.4765531,0.5080215,0.008015277],"study_design_scores_gemma":[0.0004235526,0.00011533554,0.00013098939,0.00016388591,0.00033591842,0.00031349022,0.0012451287,0.0011149739,0.00015138832,0.9003916,0.095443346,0.00017043753],"about_ca_topic_score_codex":4.4273287e-7,"about_ca_topic_score_gemma":2.983141e-7,"teacher_disagreement_score":0.7265575,"about_ca_system_score_codex":0.00013175466,"about_ca_system_score_gemma":0.00014148185,"threshold_uncertainty_score":0.36445215},"labels":[],"label_agreement":null},{"id":"W4399015500","doi":"10.1093/comjnl/bxae038","title":"Failing to Hash Into Supersingular Isogeny Graphs","year":2024,"lang":"en","type":"article","venue":"The Computer Journal","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Deutsche Forschungsgemeinschaft; Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; Ministry of Business, Innovation and Employment; Royal Society Te Apārangi; Marsden Fund; Simons Foundation; California Department of Fish and Game; National Science Foundation","keywords":"Isogeny; Hash function; Collision resistance; Mathematics; Computer science; Cryptographic hash function; Double hashing; Computer security; Pure mathematics; Elliptic curve","score_opus":0.03355264113695809,"score_gpt":0.3138387519385658,"score_spread":0.2802861108016077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399015500","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50073105,0.0012275841,0.48576877,0.00927021,0.0024532247,0.00009417157,6.9875773e-7,0.00010021847,0.0003540798],"genre_scores_gemma":[0.92793435,0.000039893246,0.069030024,0.0010866914,0.0015042472,0.000001734952,4.0106934e-7,0.000028303128,0.00037436298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990254,0.00009352326,0.00025294663,0.00014812492,0.00020974406,0.00027028433],"domain_scores_gemma":[0.99920154,0.00037830486,0.000032036114,0.0002079568,0.00005410414,0.00012605565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007650971,0.00012061307,0.00017052739,0.00030875788,0.0002736076,0.00025182433,0.0004019757,0.000047640657,0.00016308346],"category_scores_gemma":[0.00006722314,0.00007477693,0.00015151918,0.000519174,0.00005211074,0.00007539617,0.00015066123,0.00041023552,0.00017387999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020235411,0.000101575846,0.00033456887,0.00012473426,0.00050184637,0.00052604347,0.019774223,0.00027367446,0.0007395276,0.54740816,0.21088427,0.21931115],"study_design_scores_gemma":[0.00015227456,0.000131595,0.00013465025,0.000099837416,0.000055353365,0.0016124375,0.00028987095,0.0032708775,0.00016272903,0.9691728,0.024768688,0.00014889278],"about_ca_topic_score_codex":0.0000053116746,"about_ca_topic_score_gemma":0.0000028380339,"teacher_disagreement_score":0.4272033,"about_ca_system_score_codex":0.000040979397,"about_ca_system_score_gemma":0.00004717532,"threshold_uncertainty_score":0.30493146},"labels":[],"label_agreement":null},{"id":"W4399402860","doi":"10.1016/j.aim.2024.109746","title":"Characterizing slopes for satellite knots","year":2024,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Fonds de recherche du Québec – Nature et technologies","keywords":"Mathematics; Satellite; Pure mathematics; Astronomy","score_opus":0.03641095556396728,"score_gpt":0.35401043124745624,"score_spread":0.31759947568348895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399402860","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18360655,0.0754847,0.64948875,0.00288492,0.0049105505,0.003118426,0.00010354454,0.0014810284,0.07892154],"genre_scores_gemma":[0.39534938,0.005571374,0.59106547,0.00021382558,0.0004981878,0.00031037905,0.000017678343,0.00013995197,0.006833749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876654,0.000018924615,0.00046812123,0.00025831768,0.00014388705,0.00034421557],"domain_scores_gemma":[0.9974743,0.0021232222,0.00008631686,0.00024185758,0.000031957672,0.000042353386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004775856,0.00017822633,0.00034325526,0.00026934856,0.00004543996,0.000052495914,0.00020072314,0.00008663653,0.000100762496],"category_scores_gemma":[0.00075556297,0.00014790664,0.00009545697,0.0004652518,0.00006319903,0.00030817976,0.000049223316,0.00014364485,0.00007485508],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049301616,0.00010113469,0.00007701026,0.0023635458,0.000023075116,0.00002281274,0.0018529148,0.000002525631,0.00025619898,0.8648417,0.00016722716,0.13028693],"study_design_scores_gemma":[0.00015507273,0.000036302346,0.00003899415,0.00033201594,0.000023123743,0.000027459933,0.0004341903,0.00062579603,0.00062541047,0.83465886,0.16286914,0.00017363392],"about_ca_topic_score_codex":5.0004087e-7,"about_ca_topic_score_gemma":0.0000061754567,"teacher_disagreement_score":0.21174283,"about_ca_system_score_codex":0.000042120148,"about_ca_system_score_gemma":0.00002531465,"threshold_uncertainty_score":0.6031458},"labels":[],"label_agreement":null},{"id":"W4399460026","doi":"10.1007/s11784-024-01114-x","title":"Bordism classes of loops and Floer’s equation in cotangent bundles","year":2024,"lang":"en","type":"article","venue":"Journal of Fixed Point Theory and Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Trigonometric functions; Mathematics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.029075700526347763,"score_gpt":0.3171817910224548,"score_spread":0.288106090496107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399460026","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8330791,0.0077381292,0.15562725,0.0017849285,0.000091067064,0.0002423216,0.000016355176,0.000015243425,0.00140561],"genre_scores_gemma":[0.9973094,0.0005076581,0.0018926209,0.000031086074,0.00008299293,0.000010900541,0.0000010936722,0.0000063866473,0.00015787502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931806,0.00007891492,0.00037012872,0.00007853252,0.0000802478,0.00007411877],"domain_scores_gemma":[0.9984285,0.0012476433,0.00015077376,0.00007987431,0.000050500807,0.000042656175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092448364,0.00006325958,0.00017689532,0.00023954269,0.000033054355,0.000016924849,0.000059131115,0.000049521594,0.000054625612],"category_scores_gemma":[0.0002071092,0.000048732934,0.00004032935,0.00024505367,0.00009485844,0.00008246469,0.000023468234,0.00013369726,0.0000019797058],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019322164,0.00007445566,0.0002405851,0.00010274269,0.000034033797,0.000002590401,0.00046242157,0.0000028499408,0.0009323354,0.9811072,0.00027231415,0.016749168],"study_design_scores_gemma":[0.00021052943,0.00007722073,0.0019114772,0.000086425185,0.00006262585,0.000095493924,0.0009805863,0.00006289321,0.0008281174,0.9920452,0.0035858261,0.000053605447],"about_ca_topic_score_codex":0.0000021463563,"about_ca_topic_score_gemma":0.0000038821395,"teacher_disagreement_score":0.16423029,"about_ca_system_score_codex":0.000014400323,"about_ca_system_score_gemma":0.00003650483,"threshold_uncertainty_score":0.19872713},"labels":[],"label_agreement":null},{"id":"W4400141774","doi":"10.1007/s00208-025-03200-y","title":"Completing prelaminations","year":2025,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","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":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Generality; Transverse plane; Simple (philosophy); Plane (geometry); Mathematics; Pure mathematics; Geometry; Mathematical analysis; Engineering; Structural engineering","score_opus":0.03559707466695548,"score_gpt":0.32828447430787505,"score_spread":0.29268739964091955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400141774","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08999058,0.038896963,0.25407922,0.030410789,0.0045036133,0.0028361483,0.00025967523,0.0009142351,0.5781088],"genre_scores_gemma":[0.5773461,0.0008959405,0.06524446,0.0017079377,0.000903562,0.00021844123,0.00009334609,0.00015043272,0.3534398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972084,0.00022957927,0.0009713392,0.00053031114,0.00036473287,0.000695606],"domain_scores_gemma":[0.9964102,0.001956827,0.00040513978,0.00086428213,0.00024389804,0.000119664655],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010325784,0.00042219288,0.0007708595,0.0007138145,0.0004394387,0.0001386272,0.00066010706,0.00034904972,0.0026059959],"category_scores_gemma":[0.0025875007,0.00041257165,0.00028077536,0.0014048672,0.0002465525,0.00013021693,0.0004338349,0.00054241583,0.0035212687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008341829,0.0005100307,0.0005086183,0.0013961005,0.0006184007,0.00001894989,0.0017427217,0.0000041436533,0.000050095387,0.8088956,0.17732847,0.00891857],"study_design_scores_gemma":[0.0011198386,0.00010580168,0.0022484765,0.001282453,0.0010074897,0.00002172919,0.0014726848,0.002536076,0.00061565643,0.65087515,0.338077,0.0006375969],"about_ca_topic_score_codex":0.000018386798,"about_ca_topic_score_gemma":0.0000065009044,"teacher_disagreement_score":0.4873555,"about_ca_system_score_codex":0.000068967245,"about_ca_system_score_gemma":0.00016698556,"threshold_uncertainty_score":0.99983263},"labels":[],"label_agreement":null},{"id":"W4400173541","doi":"10.1142/s1793525324500298","title":"Hamiltonian fragmentation in dimension four with application to spectral estimators","year":2024,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Courtois Foundation","keywords":"Mathematics; Hamiltonian (control theory); Embedding; Symplectic geometry; Pure mathematics; Combinatorics","score_opus":0.012724525430265043,"score_gpt":0.3049444377271278,"score_spread":0.2922199122968628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400173541","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87813526,0.00021306628,0.11869001,0.0027621223,0.000054549208,0.000045827048,8.643061e-7,0.000007888644,0.00009043074],"genre_scores_gemma":[0.98477083,0.000028461574,0.014924823,0.00009081218,0.00004658654,0.0000021480864,0.0000011264433,0.000005155049,0.00013006947],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9993148,0.0000464909,0.00029382357,0.00012337552,0.00010484215,0.00011669883],"domain_scores_gemma":[0.99952257,0.00019486474,0.000108096894,0.00007441584,0.00003774543,0.000062311075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034506002,0.000075343996,0.00028517435,0.001129781,0.000033812452,0.00001620298,0.000056783327,0.00006151572,0.00006373672],"category_scores_gemma":[0.00006945163,0.000052642645,0.00007337862,0.0011861892,0.000046212586,0.00007335317,0.0000140793745,0.00014765719,0.0000042254514],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041381334,0.00042273215,0.66770834,0.00022146989,0.0045160158,0.0010503612,0.005968138,0.0065541496,0.0025475465,0.26084328,0.001543651,0.04821052],"study_design_scores_gemma":[0.0016907289,0.0017971596,0.6165306,0.00018336909,0.0054371115,0.0013148921,0.0027674322,0.02078261,0.001287333,0.34631276,0.0013323523,0.000563654],"about_ca_topic_score_codex":0.000040157192,"about_ca_topic_score_gemma":0.00020167297,"teacher_disagreement_score":0.10663557,"about_ca_system_score_codex":0.00003594739,"about_ca_system_score_gemma":0.000025512394,"threshold_uncertainty_score":0.21467048},"labels":[],"label_agreement":null},{"id":"W4400173556","doi":"10.1142/s1793525324500249","title":"Topological four-manifolds with right-angled Artin fundamental groups: Corrigendum","year":2024,"lang":"en","type":"erratum","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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","keywords":"Cobordism; Mathematics; Fundamental group; Dimension (graph theory); Upper and lower bounds; Group (periodic table); Topology (electrical circuits); Combinatorics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.0373506809800583,"score_gpt":0.2924654677392291,"score_spread":0.2551147867591708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400173556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61509556,0.072395,0.036535077,0.038907748,0.10539496,0.0013833836,0.00053858914,0.00051130226,0.12923841],"genre_scores_gemma":[0.6642596,0.0016331264,0.0042622923,0.0006785056,0.004205704,0.000010906245,0.00008293475,0.00008817263,0.32477877],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687517,0.00030585096,0.0012328462,0.0005149843,0.00050573156,0.00056542846],"domain_scores_gemma":[0.9973201,0.00049784087,0.0013241811,0.00036674534,0.00022058528,0.00027054537],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009009265,0.0005360774,0.0022562356,0.0020746049,0.0002099573,0.00008951136,0.00046481277,0.001095238,0.0042820075],"category_scores_gemma":[0.00032003116,0.00033061177,0.0009731369,0.0014476986,0.0006584411,0.00010312316,0.000187272,0.0021358572,0.00003550238],"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":[0.00027340732,0.00048217984,0.0071177618,0.000327842,0.018715333,0.007782504,0.0005419023,0.0000041421954,0.000011377345,0.08095678,0.88299906,0.0007877198],"study_design_scores_gemma":[0.0024429113,0.00543012,0.005938256,0.00041163396,0.062523656,0.012075978,0.003684006,0.00037484357,0.00004594115,0.591172,0.31411514,0.0017855205],"about_ca_topic_score_codex":0.000038619964,"about_ca_topic_score_gemma":0.0003063991,"teacher_disagreement_score":0.56888396,"about_ca_system_score_codex":0.00011337974,"about_ca_system_score_gemma":0.0002059156,"threshold_uncertainty_score":0.9999146},"labels":[],"label_agreement":null},{"id":"W4400368071","doi":"10.1112/blms.13121","title":"Separability in Morse local‐to‐global groups","year":2024,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Centre de Recherches Mathématiques","keywords":"Morse code; Mathematics; Separable space; Product (mathematics); Pure mathematics; Group (periodic table); Mathematical analysis; Geometry; Computer science; Physics","score_opus":0.019916405016424873,"score_gpt":0.2977366546260955,"score_spread":0.2778202496096706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400368071","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8600935,0.000515717,0.091292866,0.03108844,0.0005000064,0.0012735971,0.00004979479,0.00027118108,0.014914952],"genre_scores_gemma":[0.97261024,0.000008961439,0.024555111,0.0006042345,0.00006278511,0.00004534623,7.440833e-7,0.000025452744,0.0020871393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797505,0.00013915174,0.00065443903,0.00037356268,0.00043859295,0.00041917403],"domain_scores_gemma":[0.9977206,0.0014337873,0.00007944186,0.0006047354,0.000045879948,0.00011554165],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013295382,0.00022109697,0.00050050265,0.00003224337,0.000057096386,0.000027281494,0.000538121,0.00020144467,0.0018147151],"category_scores_gemma":[0.001342954,0.000142426,0.00054713525,0.0008905328,0.00038469516,0.000015364587,0.00040046946,0.00033314005,0.0004828786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021123915,0.0005608034,0.0004936988,0.0013748093,0.00008684817,0.000008111751,0.0013576319,0.00004177208,0.00004575873,0.86651367,0.12588386,0.0036119306],"study_design_scores_gemma":[0.00031965537,0.000054248212,0.001402885,0.00030006425,0.000057723304,0.000029463039,0.00052648265,0.0013168587,0.0003184599,0.9841433,0.011334022,0.00019679546],"about_ca_topic_score_codex":0.000047690854,"about_ca_topic_score_gemma":0.000007474139,"teacher_disagreement_score":0.117629685,"about_ca_system_score_codex":0.0001817327,"about_ca_system_score_gemma":0.00004652978,"threshold_uncertainty_score":0.99909776},"labels":[],"label_agreement":null},{"id":"W4400848949","doi":"10.2140/agt.2024.24.2367","title":"Remarks on symplectic circle actions, torsion and loops","year":2024,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Division of Mathematical Sciences; Courtois Foundation; Université de Montréal; National Science Foundation","keywords":"Mathematics; Symplectic geometry; Torsion (gastropod); Pure mathematics; Algebra over a field; Anatomy","score_opus":0.033990204143980476,"score_gpt":0.31932696404824257,"score_spread":0.2853367599042621,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400848949","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95673704,0.0075781574,0.008470313,0.0059434725,0.0038213048,0.0005535824,0.000019533076,0.00080545683,0.016071124],"genre_scores_gemma":[0.9927673,0.0005139826,0.0010414739,0.0006300978,0.00044301935,0.000045744993,0.000013245268,0.0000694399,0.004475719],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997147,0.00021925742,0.00056951627,0.0009079158,0.0003582507,0.0007980194],"domain_scores_gemma":[0.9951483,0.0038057372,0.00012297132,0.00060310826,0.00007404956,0.00024584704],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00077123585,0.0003660932,0.000596173,0.0033561385,0.0002933695,0.000095643394,0.0003033042,0.00044948957,0.0020609929],"category_scores_gemma":[0.002886089,0.00034498813,0.00017205221,0.004828664,0.00033862598,0.00017463636,0.00020210315,0.00067916035,0.0005827639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004229759,0.00025071696,0.0010810641,0.00026436147,0.00027518295,0.0001866975,0.0002957311,0.0000014405701,0.00016756123,0.820126,0.03028713,0.14702183],"study_design_scores_gemma":[0.0012424188,0.0018455158,0.019911375,0.00014126099,0.0003774181,0.0017350741,0.00069620035,0.00022010459,0.0011683385,0.9048774,0.0667814,0.0010034681],"about_ca_topic_score_codex":0.000107213265,"about_ca_topic_score_gemma":0.000028254373,"teacher_disagreement_score":0.14601837,"about_ca_system_score_codex":0.00017106756,"about_ca_system_score_gemma":0.00011196778,"threshold_uncertainty_score":0.9999002},"labels":[],"label_agreement":null},{"id":"W4400884203","doi":"10.4171/ggd/813","title":"Hyperfiniteness of boundary actions of relatively hyperbolic groups","year":2024,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Boundary (topology); Pure mathematics; Relatively hyperbolic group; Hyperbolic manifold; Mathematical analysis; Hyperbolic function","score_opus":0.03436634296575513,"score_gpt":0.29379534171820576,"score_spread":0.2594289987524506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400884203","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96778136,0.0020236115,0.025606945,0.00017661306,0.0004792814,0.00012822899,0.00013694534,0.00008407143,0.0035829567],"genre_scores_gemma":[0.9955895,0.00027372668,0.0031494698,0.000021162614,0.00007176056,0.0000074544255,0.000025361029,0.000029088298,0.00083250715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987236,0.000057402653,0.0004781272,0.00028136547,0.00021037804,0.00024909808],"domain_scores_gemma":[0.99822086,0.0012045031,0.00014231414,0.00026764633,0.00008470213,0.00007997791],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039919716,0.00018558864,0.0004590741,0.0008001085,0.000099657256,0.000024331046,0.00015372806,0.0002037877,0.000111488574],"category_scores_gemma":[0.00041020056,0.0001651059,0.00013143414,0.0017757015,0.00037594952,0.0001780337,0.00012177801,0.0002943661,0.000009313962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002621032,0.00017132897,0.006914247,0.0008383345,0.00018434574,0.000014389004,0.00059929764,0.000011210716,0.00026331702,0.97434616,0.00011478975,0.016516354],"study_design_scores_gemma":[0.0007780003,0.00049901416,0.0365587,0.00026755736,0.0004003434,0.00031112003,0.0032784275,0.011548874,0.00035750878,0.9431903,0.002290281,0.000519921],"about_ca_topic_score_codex":0.00003181872,"about_ca_topic_score_gemma":0.000018559651,"teacher_disagreement_score":0.031155923,"about_ca_system_score_codex":0.000041941457,"about_ca_system_score_gemma":0.000066223874,"threshold_uncertainty_score":0.6732823},"labels":[],"label_agreement":null},{"id":"W4400931957","doi":"10.2140/gt.2024.28.1829","title":"Sublinearly Morse boundary, II: Proper geodesic spaces","year":2024,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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; Division of Mathematical Sciences; University of Toronto; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Geodesic; Mathematics; Boundary (topology); Morse code; Pure mathematics; Morse theory; Geodesic map; Mathematical analysis; Geometry","score_opus":0.03671273623185218,"score_gpt":0.3148021586750569,"score_spread":0.2780894224432047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400931957","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9616792,0.0062103337,0.0048838514,0.010038973,0.0039051697,0.00046975818,0.00003213169,0.0007581573,0.012022421],"genre_scores_gemma":[0.95928687,0.000103209066,0.0037151065,0.00040130602,0.00081763923,0.00007301519,0.000020196512,0.000077833836,0.035504833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99734384,0.0001365226,0.00053466554,0.0007253672,0.0003256085,0.00093400263],"domain_scores_gemma":[0.99811757,0.00085604127,0.000098478726,0.0006262443,0.000108678854,0.00019301978],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007382509,0.0003701037,0.0006078662,0.0013890467,0.00034467783,0.00016766906,0.0004817836,0.0003973542,0.005335608],"category_scores_gemma":[0.0011324544,0.00029832852,0.00022119541,0.0021893978,0.00068122125,0.0002387352,0.0003687853,0.0006172885,0.0011463023],"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":[0.00006492386,0.00045802526,0.0038117073,0.0005245623,0.0005250744,0.0006368652,0.0016328174,0.000009204712,0.00065488985,0.81690764,0.13602675,0.038747553],"study_design_scores_gemma":[0.0005950606,0.0008144032,0.0012718971,0.00005035707,0.00019325841,0.0007413369,0.0005786587,0.000277514,0.0007194043,0.3774425,0.61665714,0.00065844227],"about_ca_topic_score_codex":0.00024297007,"about_ca_topic_score_gemma":0.00005837575,"teacher_disagreement_score":0.4806304,"about_ca_system_score_codex":0.000092326176,"about_ca_system_score_gemma":0.00023890201,"threshold_uncertainty_score":0.9999469},"labels":[],"label_agreement":null},{"id":"W4401700061","doi":"10.4310/jsg.2024.v22.n1.a1","title":"Contactomorphisms of the sphere without translated points","year":2024,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Mathematical economics","score_opus":0.030240722176256597,"score_gpt":0.3042584237360133,"score_spread":0.2740177015597567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401700061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98863655,0.0024467588,0.0045822905,0.0015974061,0.0013987941,0.00013192919,0.0000069588586,0.000025573485,0.0011737322],"genre_scores_gemma":[0.99762976,0.00003367533,0.0012963581,0.0000815685,0.00015397108,8.6481873e-7,2.2747938e-7,0.000027634653,0.000775957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821174,0.000119055374,0.00079918164,0.00012993073,0.00048923877,0.00025085534],"domain_scores_gemma":[0.99809664,0.0009255613,0.00043130337,0.0002404181,0.00021651816,0.00008957939],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00086556113,0.00016028906,0.0005138727,0.0004951302,0.00005611953,0.000032697946,0.0003803964,0.00013660814,0.0010840948],"category_scores_gemma":[0.0010822101,0.000095298856,0.00037000293,0.0018987446,0.00012245498,0.000121416335,0.00003652467,0.00054319337,0.000017014763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009600929,0.0029881443,0.22891346,0.0064905966,0.01083085,0.0013106694,0.017056275,0.000109339184,0.04879261,0.5041852,0.093510374,0.08485237],"study_design_scores_gemma":[0.0035515602,0.0014124668,0.036667544,0.0016186273,0.0015620036,0.007218307,0.0014829398,0.00026580127,0.018554362,0.9162851,0.01079491,0.0005864],"about_ca_topic_score_codex":0.000011656675,"about_ca_topic_score_gemma":0.000009405022,"teacher_disagreement_score":0.41209987,"about_ca_system_score_codex":0.00006279827,"about_ca_system_score_gemma":0.00024199045,"threshold_uncertainty_score":0.99982905},"labels":[],"label_agreement":null},{"id":"W4401741676","doi":"10.1002/jgt.23166","title":"On vertex‐transitive graphs with a unique hamiltonian cycle","year":2024,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Geometric and Algebraic Topology","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 Lethbridge","funders":"","keywords":"Mathematics; Combinatorics; Hamiltonian path; Cayley graph; Hamiltonian path problem; Discrete mathematics; Pancyclic graph; Vertex-transitive graph; Symmetric graph; Indifference graph; Vertex (graph theory); Transitive relation; Hamiltonian (control theory); Chordal graph; Graph; 1-planar graph; Voltage graph; Line graph","score_opus":0.010948259799427781,"score_gpt":0.26747416958913867,"score_spread":0.2565259097897109,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401741676","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97129244,0.00093688373,0.014449507,0.000769462,0.0004791922,0.000110799025,0.0000062817653,0.000058310252,0.011897147],"genre_scores_gemma":[0.99816126,0.00007525075,0.0010831727,0.00023643537,0.00004854805,0.000001995924,2.8478263e-7,0.000029220135,0.000363837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887985,0.0002062159,0.0003108723,0.00013217384,0.0002610702,0.00020980024],"domain_scores_gemma":[0.99804175,0.0014587275,0.00013598402,0.0001586124,0.00009990675,0.00010501022],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009869491,0.00015420293,0.00030390784,0.0008681426,0.00005659068,0.000030444686,0.00017801358,0.00008814415,0.00014386424],"category_scores_gemma":[0.00018640744,0.00009739393,0.00021380112,0.0007599246,0.00018754351,0.00008621937,0.00001123355,0.00048793005,0.000008974507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028510726,0.0001160081,0.00005688172,0.000053208747,0.00034778033,0.00053321524,0.0011243918,0.000007391592,0.0001261748,0.9932634,0.00078583555,0.003300581],"study_design_scores_gemma":[0.00044812832,0.00093470415,0.00049180124,0.00032823675,0.00013445737,0.00063390634,0.00056453276,0.000017080865,0.000489141,0.99555516,0.00028120689,0.00012165863],"about_ca_topic_score_codex":0.0000028488312,"about_ca_topic_score_gemma":0.0000054182715,"teacher_disagreement_score":0.026868837,"about_ca_system_score_codex":0.000027562033,"about_ca_system_score_gemma":0.00009390098,"threshold_uncertainty_score":0.39716095},"labels":[],"label_agreement":null},{"id":"W4401916688","doi":"10.4153/s0008439524000389","title":"On irreducible representations of Fuchsian groups","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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":"Science and Engineering Research Board","keywords":"Mathematics; Homomorphism; Conjugacy class; Combinatorics; Image (mathematics); Algebraic number; Group (periodic table); Pure mathematics; Mathematical analysis","score_opus":0.030671333539474484,"score_gpt":0.30318365024416544,"score_spread":0.27251231670469095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401916688","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36068588,0.0004314081,0.01037408,0.03958295,0.000721587,0.0008042168,0.00013364883,0.0003231215,0.5869431],"genre_scores_gemma":[0.98604923,0.000004055003,0.0031054267,0.0002703648,0.00008124787,0.000030369587,0.000006897801,0.000035533118,0.010416885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868375,0.000052004154,0.00039213183,0.0002915427,0.00020773399,0.00037286483],"domain_scores_gemma":[0.99758565,0.0015317191,0.000043097483,0.00043187191,0.00004196537,0.0003656834],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035852488,0.00014924991,0.0002888115,0.00053082785,0.00006845214,0.00004085771,0.00021253884,0.00009797192,0.037426386],"category_scores_gemma":[0.0019375054,0.0001291033,0.0001291919,0.0005314404,0.000148829,0.000020058113,0.000024778075,0.00020997092,0.008800762],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018149477,0.000043674536,0.0000050198246,0.00021737721,0.000032545904,0.00006822462,0.00027282603,0.0000013422618,0.000011754342,0.8797325,0.11895966,0.00065324845],"study_design_scores_gemma":[0.000105410894,0.00006444827,0.000042305077,0.00016516466,0.000038989623,0.000059792783,0.0003314604,0.00013064493,0.00014927107,0.9774223,0.021352649,0.00013759047],"about_ca_topic_score_codex":0.00040513044,"about_ca_topic_score_gemma":0.00029145533,"teacher_disagreement_score":0.62536335,"about_ca_system_score_codex":0.000086986714,"about_ca_system_score_gemma":0.0001841262,"threshold_uncertainty_score":0.991971},"labels":[],"label_agreement":null},{"id":"W4402347568","doi":"10.1016/b978-0-323-95703-8.00021-5","title":"3d TQFTs and 3-Manifold Invariants","year":2024,"lang":"en","type":"book-chapter","venue":"Encyclopedia of Mathematical Physics","topic":"Geometric and Algebraic Topology","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":"McMaster University","funders":"","keywords":"Manifold (fluid mechanics); Pure mathematics; Mathematics; Engineering; Mechanical engineering","score_opus":0.030854413127913472,"score_gpt":0.2701323528833407,"score_spread":0.23927793975542722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402347568","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00026176922,0.00068513997,0.003219665,0.0001446826,0.0003228721,0.00040612547,0.00007316447,0.00012148468,0.9947651],"genre_scores_gemma":[0.0044475254,0.0010524213,0.017383346,0.000072352486,0.00095429004,0.000021716847,0.000019796551,0.00024778195,0.97580075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778414,0.000016406291,0.0008396121,0.00050947384,0.00051327876,0.00033707134],"domain_scores_gemma":[0.9973236,0.0014551323,0.00036178104,0.000605771,0.000087926615,0.0001658209],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00028347512,0.0005367812,0.0011834204,0.00017578359,0.000044994664,0.000026823569,0.00030200137,0.00048726605,0.0013917747],"category_scores_gemma":[0.00040621593,0.0004520564,0.00023956921,0.000101129415,0.0002658141,0.000075231736,0.00037945775,0.00063904456,0.0008272991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046078094,0.00008631922,0.0000012814342,0.0019878182,0.00019093552,0.000039573864,0.0003252022,1.16610565e-7,0.000002165527,0.986076,0.0075831283,0.0037028408],"study_design_scores_gemma":[0.00018244081,0.0000906415,0.0000023716548,0.00059553393,0.0004668522,0.00002974278,0.000022827187,0.000058170768,0.000011871477,0.9662661,0.031873345,0.00040010802],"about_ca_topic_score_codex":0.0000018833686,"about_ca_topic_score_gemma":0.0000011284126,"teacher_disagreement_score":0.024290217,"about_ca_system_score_codex":0.000032513573,"about_ca_system_score_gemma":0.00007738906,"threshold_uncertainty_score":0.99995065},"labels":[],"label_agreement":null},{"id":"W4402527419","doi":"10.1142/s0218196724500498","title":"A fast algorithm for Stallings foldings over virtually free groups","year":2024,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","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; Combinatorics; Algorithm","score_opus":0.019532224203268066,"score_gpt":0.3181054903268191,"score_spread":0.29857326612355106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402527419","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.330833,0.00033693443,0.6664882,0.0010395077,0.0011035219,0.00006998775,0.000018535638,0.000023834811,0.00008650406],"genre_scores_gemma":[0.92338866,0.00006464897,0.07529876,0.00017986004,0.00083316595,0.000003977951,0.000009331418,0.000021228074,0.00020038456],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893415,0.000020064275,0.00043191493,0.00013457249,0.00036445443,0.000114841496],"domain_scores_gemma":[0.9986256,0.00068839296,0.00021581394,0.000043941553,0.00036629714,0.000059958198],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003572139,0.000108131295,0.0001781309,0.00041357608,0.000038993287,0.00016280831,0.0002212786,0.000062784784,0.000045767178],"category_scores_gemma":[0.00020536213,0.00009210561,0.00013130692,0.0001318692,0.000040704384,0.00029920088,0.000059318623,0.00013612273,0.000002523865],"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":[0.000065316526,0.00011168924,0.00007856831,0.000058038877,0.00053007534,0.00009068096,0.0013169585,0.00006561277,0.0002977983,0.37189502,0.009208566,0.6162817],"study_design_scores_gemma":[0.0011151884,0.00033696284,0.0005722295,0.00012901876,0.000074619544,0.00040622655,0.00031581667,0.04633228,0.00013305014,0.94829756,0.0021627445,0.00012429169],"about_ca_topic_score_codex":0.00000444113,"about_ca_topic_score_gemma":0.000001597116,"teacher_disagreement_score":0.61615735,"about_ca_system_score_codex":0.000052136216,"about_ca_system_score_gemma":0.00005754503,"threshold_uncertainty_score":0.3755958},"labels":[],"label_agreement":null},{"id":"W4402540469","doi":"10.1007/s00220-024-05075-7","title":"Symplectic Geometry of Teichmüller Spaces for Surfaces with Ideal Boundary","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Geometric and Algebraic Topology","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; Université de Genève; Trinity College Dublin; National Centres of Competence in Research SwissMAP; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Symplectic geometry; Ideal (ethics); Mathematics; Geometry; Boundary (topology); Complex system; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.08085832186041138,"score_gpt":0.3757270060822404,"score_spread":0.29486868422182905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402540469","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49686804,0.0072425725,0.46223038,0.0055525866,0.0002028714,0.001995218,0.00009716718,0.0004275723,0.025383573],"genre_scores_gemma":[0.8540837,0.000083275445,0.14533712,0.00002120873,0.000030209627,0.00011496386,0.000011780649,0.000037133825,0.00028060502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987896,0.00008514253,0.00046677707,0.00020345955,0.00020192085,0.00025311616],"domain_scores_gemma":[0.992173,0.0062062377,0.000109884226,0.001357208,0.000108515465,0.000045115663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057600683,0.000168358,0.0004330088,0.00021640163,0.00010880244,0.000061419996,0.000834216,0.00008624282,0.000060193932],"category_scores_gemma":[0.0009864094,0.00013094234,0.0001017769,0.001248198,0.00054992014,0.00012974943,0.00031505426,0.0002766637,0.00002675301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008879861,0.0003933637,0.00020178978,0.000987688,0.00009145878,8.5343845e-7,0.0007961443,0.000013569943,0.00005491491,0.9940637,0.0011739915,0.0022136797],"study_design_scores_gemma":[0.00024236672,0.000100910496,0.00009201573,0.00031429858,0.000084284664,0.000008632253,0.00055283954,0.008025572,0.00018303136,0.98898023,0.0012632963,0.00015254659],"about_ca_topic_score_codex":0.000007277105,"about_ca_topic_score_gemma":0.00001586875,"teacher_disagreement_score":0.35721564,"about_ca_system_score_codex":0.000051036477,"about_ca_system_score_gemma":0.000121957324,"threshold_uncertainty_score":0.5339674},"labels":[],"label_agreement":null},{"id":"W4403008141","doi":"10.1093/imrn/rnae192","title":"An Elliptic Generalization of <i>A</i>1 Spherical DAHA at <i>K</i> = 2","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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; Automorphism; Torus; Generalization; Pure mathematics; Affine transformation; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.14264635289707372,"score_gpt":0.46173013240071265,"score_spread":0.3190837795036389,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403008141","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8894031,0.00076528714,0.07381218,0.0016348757,0.0011386917,0.00046114705,0.00006192766,0.00023966386,0.032483116],"genre_scores_gemma":[0.93624085,0.00009160038,0.05827633,0.00003134684,0.00033240044,0.000030430872,0.000029951032,0.00004632227,0.0049207425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972812,0.00016108468,0.0005582983,0.00033235442,0.0013268644,0.00034022675],"domain_scores_gemma":[0.9966787,0.0022557199,0.00011054489,0.00038576146,0.00044686592,0.0001223892],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016018151,0.0001488557,0.00025531123,0.0004940154,0.0000940563,0.00014399861,0.0007068648,0.00011568694,0.0019879465],"category_scores_gemma":[0.001362237,0.00012226697,0.00009744919,0.0006988093,0.00026946908,0.00028057143,0.00022428164,0.0002625424,0.0003012429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023900348,0.0007009932,0.0003871536,0.0008548811,0.00019843444,0.000051937102,0.0019378585,0.00037865882,0.012798708,0.97167104,0.009193628,0.0018028149],"study_design_scores_gemma":[0.00034169288,0.00030533556,0.00013332392,0.00031974277,0.000058474492,0.00006306173,0.00081977324,0.19381413,0.020062031,0.7641704,0.019612247,0.00029976846],"about_ca_topic_score_codex":0.000028774284,"about_ca_topic_score_gemma":0.000024700525,"teacher_disagreement_score":0.20750062,"about_ca_system_score_codex":0.00014756106,"about_ca_system_score_gemma":0.00008549276,"threshold_uncertainty_score":0.9989244},"labels":[],"label_agreement":null},{"id":"W4403114240","doi":"10.1142/s021821652450038x","title":"Connected sum and crossing numbers of flat virtual knots","year":2024,"lang":"en","type":"article","venue":"Journal of Knot Theory and Its Ramifications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Crossing number (knot theory); Connected sum; Combinatorics; Knot (papermaking); Simply connected space","score_opus":0.029979993619151355,"score_gpt":0.3210630082610717,"score_spread":0.2910830146419203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403114240","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98676777,0.0040606963,0.0075765625,0.00057350553,0.00025409728,0.00006489731,0.00001282716,0.000017531003,0.0006721148],"genre_scores_gemma":[0.99776393,0.00020577594,0.0005349202,0.000026029544,0.00008652777,8.5231903e-7,9.393598e-7,0.000010434359,0.0013706163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991321,0.00014070107,0.00041754206,0.00009745988,0.000104753104,0.000107458705],"domain_scores_gemma":[0.99740046,0.0020921305,0.0001966685,0.00009059706,0.00014279281,0.00007737274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009335641,0.00008466916,0.00022706625,0.00025060578,0.00013788004,0.00006787783,0.00008474468,0.000074097974,0.0001316647],"category_scores_gemma":[0.0014623441,0.00006515986,0.00006129643,0.00031169146,0.00023589429,0.0001644011,0.000025138239,0.00019546362,0.000004339731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036206256,0.000042925774,0.000057494282,0.00008323203,0.00010041098,0.0000066160746,0.002267012,0.000001932936,0.0068621775,0.9841758,0.00043436632,0.005931819],"study_design_scores_gemma":[0.0008173955,0.00034058414,0.0034556196,0.00037446016,0.00037287024,0.0007789402,0.0045220833,0.00057523913,0.0061084926,0.9749609,0.0074690566,0.00022436019],"about_ca_topic_score_codex":8.5815736e-7,"about_ca_topic_score_gemma":0.0000010054185,"teacher_disagreement_score":0.010996136,"about_ca_system_score_codex":0.00001195288,"about_ca_system_score_gemma":0.00009158728,"threshold_uncertainty_score":0.2657142},"labels":[],"label_agreement":null},{"id":"W4403128527","doi":"10.1090/proc/17059","title":"Simplicial pseudohyperplane arrangements give weak Garside groups","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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","score_opus":0.021477470770682988,"score_gpt":0.2936887369393833,"score_spread":0.2722112661687003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403128527","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97414035,0.00008706616,0.0017058956,0.0033162995,0.00017019799,0.00042837454,0.0000189301,0.00024113822,0.019891743],"genre_scores_gemma":[0.9776451,0.000034373104,0.020133084,0.00036752832,0.0002485362,0.000039505376,8.0898997e-7,0.00005273377,0.001478361],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981508,0.000012003692,0.00049551437,0.00035257146,0.0005336926,0.00045537707],"domain_scores_gemma":[0.9986105,0.00067755673,0.0003088272,0.00018442083,0.00011316419,0.00010552166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052405754,0.00025584234,0.00059794326,0.00006207088,0.00013325884,0.00006572245,0.00059675396,0.000081392485,0.00022281971],"category_scores_gemma":[0.0006601117,0.0001645577,0.00053550774,0.0011004966,0.000775458,0.000109179186,0.00031837347,0.0003534763,0.00007537382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002366996,0.00031523264,0.0010935266,0.0015251129,0.0005081475,0.0000011782051,0.003683834,3.4868708e-7,0.008279501,0.884364,0.09708959,0.0031158372],"study_design_scores_gemma":[0.00020643065,0.00013879953,0.0008116779,0.00021209578,0.00025585885,0.000052914274,0.0049966252,0.0007069466,0.002284677,0.9880564,0.002010388,0.00026716455],"about_ca_topic_score_codex":0.00001292999,"about_ca_topic_score_gemma":3.709105e-7,"teacher_disagreement_score":0.1036924,"about_ca_system_score_codex":0.00007912483,"about_ca_system_score_gemma":0.000033885404,"threshold_uncertainty_score":0.6710468},"labels":[],"label_agreement":null},{"id":"W4403137930","doi":"10.4153/s0008414x24000543","title":"The game of Cops and Robber on geodesic spaces","year":2024,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Univerza v Ljubljani","keywords":"Mathematics; Geodesic; Pure mathematics; Geometry","score_opus":0.03231475923977387,"score_gpt":0.2766846038940338,"score_spread":0.24436984465425995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403137930","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.984019,0.0053517534,0.001992254,0.0036197486,0.00063595927,0.00013455086,0.000013089258,0.000010517531,0.0042231185],"genre_scores_gemma":[0.9951667,0.00011602697,0.0032000162,0.00004707618,0.0000992279,8.9803297e-7,1.3877957e-7,0.00002008623,0.0013498233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909633,0.000034857378,0.00041970765,0.00006641062,0.00016882173,0.0002138784],"domain_scores_gemma":[0.9976262,0.0016870056,0.00020520082,0.00016325309,0.00009468644,0.00022364517],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007647658,0.00010418097,0.0002630222,0.00029464727,0.00007264581,0.00008215171,0.00019279405,0.000064265674,0.000092176895],"category_scores_gemma":[0.0011160141,0.00006258029,0.000083505234,0.00023713209,0.00020716347,0.00004581359,0.000010737468,0.00022369536,0.000012382452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000034144637,0.000027051565,0.00017902962,0.00041406573,0.00017993516,0.00017166034,0.003133798,0.000009309294,0.000024691764,0.9686151,0.022114411,0.005127528],"study_design_scores_gemma":[0.00025820124,0.00030120814,0.00025320542,0.00066008995,0.00016375701,0.0010602853,0.0035940346,0.00042028888,0.00031267374,0.9629637,0.029857112,0.00015545606],"about_ca_topic_score_codex":0.00009452629,"about_ca_topic_score_gemma":0.0011304236,"teacher_disagreement_score":0.011147698,"about_ca_system_score_codex":0.00004459646,"about_ca_system_score_gemma":0.00040032316,"threshold_uncertainty_score":0.25519502},"labels":[],"label_agreement":null},{"id":"W4403255385","doi":"10.1007/978-3-031-56611-0_1","title":"Heegaard Floer Homology","year":2024,"lang":"en","type":"book-chapter","venue":"Bolyai Society mathematical studies","topic":"Geometric and Algebraic Topology","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":"Floer homology; Mathematics; Pure mathematics; Morse homology; Algebra over a field; Cellular homology","score_opus":0.11742172484407423,"score_gpt":0.35859233096459997,"score_spread":0.24117060612052574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403255385","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000202321,0.043260653,0.0015430114,0.0046286033,0.0012071648,0.000778112,0.000088993605,0.00082109857,0.94747007],"genre_scores_gemma":[0.0006527516,0.0029041811,0.012777376,0.00052373955,0.0008591236,0.00009749093,0.000010978232,0.00023355408,0.9819408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99664664,0.000024896592,0.0010859057,0.0008628301,0.0006449098,0.00073480955],"domain_scores_gemma":[0.995946,0.0026098022,0.00030460494,0.00074733247,0.00022793988,0.00016434953],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006561542,0.00089903007,0.0021314574,0.00013972158,0.0002579685,0.00005422831,0.00044952342,0.0010207855,0.002734296],"category_scores_gemma":[0.0007455376,0.00067759573,0.0014594451,0.00014364257,0.0012177153,0.000048347767,0.00092674606,0.0011500232,0.0046228394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029409662,0.000052707503,4.843325e-7,0.0018754973,0.002326968,0.000058995938,0.0013675443,4.5252698e-8,0.0000018304648,0.7704349,0.22320423,0.0006738687],"study_design_scores_gemma":[0.00020163489,0.00009552398,8.187251e-7,0.00046419806,0.0009221532,0.000113217335,0.00082369545,0.00001408567,0.0000071096115,0.8444407,0.15235354,0.00056331186],"about_ca_topic_score_codex":0.0000011424788,"about_ca_topic_score_gemma":0.0000024311244,"teacher_disagreement_score":0.07400582,"about_ca_system_score_codex":0.00023052622,"about_ca_system_score_gemma":0.00007651342,"threshold_uncertainty_score":0.9995675},"labels":[],"label_agreement":null},{"id":"W4403556503","doi":"10.48550/arxiv.2409.03532","title":"The Moore-Tachikawa conjecture via shifted symplectic geometry","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Symplectic geometry; Conjecture; Geometry; Mathematics; Symplectomorphism; Pure mathematics; Physics; Combinatorics","score_opus":0.06850756758253881,"score_gpt":0.2177786949029079,"score_spread":0.1492711273203691,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403556503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95263195,0.001190019,0.031865098,0.0008961118,0.0024541055,0.0007099083,0.00006298403,0.00062782835,0.009562023],"genre_scores_gemma":[0.9877568,0.00019880809,0.00022504841,0.00009000398,0.00025839344,0.0000028536285,0.000020291869,0.000073573945,0.01137423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975222,0.00024005419,0.00036153145,0.0010603522,0.00014995605,0.00066594465],"domain_scores_gemma":[0.99646306,0.0016063842,0.00031035376,0.0013049295,0.00012434873,0.00019090298],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005161274,0.00052858377,0.0005981098,0.0006508694,0.00039035227,0.00013551659,0.001202701,0.0007278352,0.00033032798],"category_scores_gemma":[0.00052983925,0.00042186616,0.00046244502,0.0018163583,0.0003754959,0.00004688345,0.002082517,0.002022174,0.00041940447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042891377,0.00009085484,0.0007685474,0.0003890188,0.0006945092,0.0005149189,0.00020610091,0.0010670857,0.0000066759685,0.99112666,0.0042285863,0.0008641265],"study_design_scores_gemma":[0.00033873427,0.000068764675,0.0003976647,0.00007958911,0.0005555506,0.000039063878,0.0002409282,0.009474575,0.00003650784,0.9863066,0.0019866223,0.00047536363],"about_ca_topic_score_codex":0.00014341027,"about_ca_topic_score_gemma":0.00016114878,"teacher_disagreement_score":0.035124876,"about_ca_system_score_codex":0.00028249176,"about_ca_system_score_gemma":0.00024259726,"threshold_uncertainty_score":0.99982333},"labels":[],"label_agreement":null},{"id":"W4403602385","doi":"10.4310/jsg.241021224138","title":"An infinite-rank summand from iterated Mazur pattern satellite knots","year":2024,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","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":"Mathematics; Iterated function; Rank (graph theory); Pure mathematics; Mathematical analysis; Combinatorics","score_opus":0.03287704140095135,"score_gpt":0.32031169999982345,"score_spread":0.2874346585988721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403602385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9783055,0.0051365537,0.0134853115,0.0005356139,0.0016788485,0.00010699366,0.000033512275,0.00008438334,0.0006332471],"genre_scores_gemma":[0.9964776,0.0003362062,0.0015486374,0.00025333918,0.0009502442,0.0000020833077,0.00001256806,0.0000569572,0.00036238148],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99747306,0.00019092209,0.0010331708,0.00030879484,0.0005373352,0.0004567304],"domain_scores_gemma":[0.9968038,0.0018926812,0.000381874,0.00036003123,0.00028251487,0.00027905765],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008802626,0.00029148188,0.00063839013,0.001723798,0.00009173279,0.0002959134,0.00040809743,0.0002334219,0.0018268707],"category_scores_gemma":[0.00086287747,0.00023056401,0.00025188286,0.0020743413,0.00007486852,0.0004380142,0.000056613208,0.00073166983,0.00016437806],"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":[0.0005206623,0.0027220775,0.30056784,0.0020474044,0.0057742624,0.0077204583,0.0129686,0.00011849399,0.016349372,0.026149647,0.035359982,0.58970124],"study_design_scores_gemma":[0.0046753096,0.0035209616,0.15362296,0.0016713775,0.0017095457,0.003974004,0.0023960867,0.001805808,0.0049736756,0.7758314,0.04397227,0.0018465888],"about_ca_topic_score_codex":0.000053215666,"about_ca_topic_score_gemma":0.000021498205,"teacher_disagreement_score":0.7496818,"about_ca_system_score_codex":0.000106184125,"about_ca_system_score_gemma":0.00015336288,"threshold_uncertainty_score":0.9990856},"labels":[],"label_agreement":null},{"id":"W4403613779","doi":"10.1017/s0013091524000270","title":"Cyclic orders and graphs of groups","year":2024,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Geometric and Algebraic Topology","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":"Combinatorics; Mathematics; Computer science","score_opus":0.019914947079442896,"score_gpt":0.2736735581155902,"score_spread":0.2537586110361473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403613779","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99022144,0.00041806814,0.0005985804,0.0017234054,0.00021424165,0.00030456734,0.0000051447696,0.000101362595,0.00641319],"genre_scores_gemma":[0.98919123,0.000073861906,0.009728798,0.000048255162,0.00008057661,0.000017428369,1.793743e-7,0.000023908968,0.0008357414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986009,0.000004397739,0.0004918473,0.00024342358,0.0003932503,0.00026618424],"domain_scores_gemma":[0.9987231,0.0007851352,0.00017568743,0.00012289443,0.00012069772,0.00007252453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007737564,0.00018015735,0.00043693586,0.000069344904,0.000075676515,0.000031485684,0.00033002024,0.0001636964,0.0002514315],"category_scores_gemma":[0.0010124367,0.000110369365,0.0003898846,0.00084196945,0.0006085575,0.000117142656,0.00026529146,0.0002631273,0.0000017342446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004016737,0.000113160226,0.0006082679,0.0019102035,0.00017773217,1.6327526e-7,0.0030751822,6.1417786e-8,0.003160677,0.95699835,0.033421937,0.00053023594],"study_design_scores_gemma":[0.00016970384,0.00004858154,0.00012349314,0.00030025703,0.0001626288,0.00002313216,0.0018649114,0.0004873041,0.0038286592,0.9924741,0.00039998096,0.00011729733],"about_ca_topic_score_codex":0.0000033274328,"about_ca_topic_score_gemma":9.079956e-8,"teacher_disagreement_score":0.03547569,"about_ca_system_score_codex":0.000019270303,"about_ca_system_score_gemma":0.000021049962,"threshold_uncertainty_score":0.4500732},"labels":[],"label_agreement":null},{"id":"W4403952969","doi":"10.1007/s11856-024-2666-1","title":"Bicollapsibility and groups with torsion","year":2024,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Geometric and Algebraic Topology","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":"Mathematics; Torsion (gastropod); Algebra over a field; Pure mathematics","score_opus":0.028847925508205804,"score_gpt":0.2996242247304598,"score_spread":0.270776299222254,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403952969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9713477,0.0013180835,0.025391722,0.00046944094,0.00026782963,0.000108286564,0.0000026702596,0.00003833658,0.0010559596],"genre_scores_gemma":[0.9193229,0.000079386475,0.07987467,0.000037740927,0.00016389866,0.000001204576,1.9196483e-7,0.00002563709,0.00049438194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988272,0.000039311555,0.0005166859,0.00012008826,0.00032841958,0.0001682519],"domain_scores_gemma":[0.99850357,0.00085592404,0.00022697166,0.000179597,0.00012675111,0.000107219894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009678086,0.00014120965,0.00037105437,0.00027117174,0.0000457655,0.00006822604,0.00014183072,0.00008079293,0.00006316355],"category_scores_gemma":[0.00048180914,0.000085125,0.00008262309,0.0003593188,0.00010565701,0.00011740857,0.000047721976,0.000245828,0.000010075519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005775261,0.0007483369,0.0022593888,0.0029028573,0.00044697,0.00070252246,0.0053428593,0.0000035338255,0.00066971726,0.9691395,0.006768655,0.010957887],"study_design_scores_gemma":[0.00082201953,0.00093569705,0.00047008274,0.0009061637,0.00035382717,0.0060582063,0.005346776,0.0007632239,0.0009360638,0.980484,0.0026472588,0.0002766525],"about_ca_topic_score_codex":0.0000020394302,"about_ca_topic_score_gemma":0.000004925015,"teacher_disagreement_score":0.054482948,"about_ca_system_score_codex":0.000038533515,"about_ca_system_score_gemma":0.00007239908,"threshold_uncertainty_score":0.34712967},"labels":[],"label_agreement":null},{"id":"W4403979598","doi":"10.5206/mt.v4i3.19795","title":"Puzzles","year":2024,"lang":"en","type":"article","venue":"Maple Transactions","topic":"Geometric and Algebraic Topology","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":"Business","score_opus":0.051005670877801036,"score_gpt":0.3294461669324335,"score_spread":0.27844049605463245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403979598","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018795347,0.0006039585,0.9530069,0.004298214,0.0010519805,0.000112315895,0.000028637045,0.0006805693,0.021422045],"genre_scores_gemma":[0.97060895,0.000024260506,0.004241144,0.000043836288,0.0000797167,0.000019484116,0.0000016925841,0.000015758149,0.024965165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999528,0.000014498028,0.00011007496,0.00012657762,0.000079164856,0.00014167871],"domain_scores_gemma":[0.9995627,0.00025200503,0.0000069843845,0.00012757095,0.000010884374,0.00003987034],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00008115479,0.000065621825,0.000085224645,0.00016143601,0.000074005555,0.00003007066,0.00006557265,0.00004917271,0.0043730102],"category_scores_gemma":[0.000018640043,0.00005640024,0.00008300754,0.00038515174,0.00003682826,0.00005717489,0.0000019462095,0.00012648616,0.0004275019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000050614253,0.0001671844,0.000023685363,0.00025841736,0.00018896411,0.00005663804,0.0012871915,0.000023563196,0.0005196051,0.8599733,0.036343902,0.1011525],"study_design_scores_gemma":[0.00015683324,0.000037912116,0.00014178728,0.000026284006,0.000111124056,0.00009212777,0.0004066122,0.00064421503,0.0012245714,0.59300244,0.40397447,0.00018164385],"about_ca_topic_score_codex":0.00001930547,"about_ca_topic_score_gemma":0.000039730134,"teacher_disagreement_score":0.9518136,"about_ca_system_score_codex":0.000016531094,"about_ca_system_score_gemma":0.000023549888,"threshold_uncertainty_score":0.99653715},"labels":[],"label_agreement":null},{"id":"W4404142643","doi":"10.1112/jlms.70024","title":"The Borel complexity of the space of left‐orderings, low‐dimensional topology, and dynamics","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Topology (electrical circuits); Space (punctuation); Dynamics (music); Mathematics; Pure mathematics; Computer science; Physics; Combinatorics","score_opus":0.023472327072103488,"score_gpt":0.284557281895093,"score_spread":0.2610849548229895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404142643","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96206695,0.001455921,0.0059002507,0.029067196,0.0007500151,0.00024941555,0.00001972045,0.00001364247,0.00047687616],"genre_scores_gemma":[0.9882085,0.00012508254,0.010533231,0.00012858848,0.00008968634,0.0000010401035,1.8323212e-7,0.000020159338,0.00089353055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825996,0.0001502559,0.0007499959,0.00011079388,0.0005003556,0.00022863012],"domain_scores_gemma":[0.9961785,0.0026927937,0.0005559271,0.00035415604,0.00015853455,0.00006008557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014819342,0.00015437741,0.00046992197,0.000027908118,0.00020914922,0.000027881411,0.00057226216,0.00013972419,0.000080865146],"category_scores_gemma":[0.0012280148,0.00006439402,0.0006298045,0.00030133553,0.0017856789,0.000048965292,0.00041475,0.0006009218,0.000001739379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019638066,0.00016226537,0.0005082092,0.000677287,0.00032786693,0.0000017645624,0.0011465054,0.000016586244,0.0004925207,0.9864119,0.009876136,0.00035931877],"study_design_scores_gemma":[0.00030157968,0.000075136,0.0015019374,0.00030595312,0.00017860705,0.00035437447,0.0010090438,0.00798874,0.0011050277,0.98662734,0.00047295805,0.000079293335],"about_ca_topic_score_codex":0.000008073815,"about_ca_topic_score_gemma":0.0000106658845,"teacher_disagreement_score":0.028938606,"about_ca_system_score_codex":0.000066052286,"about_ca_system_score_gemma":0.00011220852,"threshold_uncertainty_score":0.65794086},"labels":[],"label_agreement":null},{"id":"W4404307962","doi":"10.48550/arxiv.2410.17817","title":"A hyperbolic free-by-cyclic group determined by its finite quotients","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; European Commission","keywords":"Quotient; Group (periodic table); Mathematics; Cyclic group; Pure mathematics; Physics; Quantum mechanics","score_opus":0.07623337583889128,"score_gpt":0.2120422380648796,"score_spread":0.1358088622259883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404307962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.976514,0.0009670622,0.012839503,0.00019912922,0.0013430915,0.0006133107,0.00057805225,0.000499413,0.0064464305],"genre_scores_gemma":[0.9683286,0.0002970056,0.00024971724,0.00014273,0.00012560497,0.0000043053765,0.000108607186,0.00008767357,0.030655764],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973384,0.0001654325,0.00039873086,0.0012867496,0.00015683616,0.0006538292],"domain_scores_gemma":[0.9974321,0.00062596245,0.000315378,0.0012542682,0.00008865437,0.00028361016],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000230412,0.00057969516,0.00073147006,0.00061206217,0.00012906727,0.00007189495,0.0013936469,0.00071730145,0.00041851038],"category_scores_gemma":[0.0005181412,0.00063354283,0.000391816,0.000987494,0.00016862468,0.0000930197,0.0028384072,0.001100828,0.00066883897],"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":[0.00030782633,0.0024731974,0.004449316,0.0038507786,0.0024231595,0.0025949273,0.0012482689,0.0011863806,0.0012109565,0.47048652,0.5062763,0.003492398],"study_design_scores_gemma":[0.002282783,0.00025823934,0.00016919327,0.00035803101,0.0010644188,0.000022300173,0.0002372543,0.019939637,0.00047714193,0.95559376,0.017967792,0.0016294606],"about_ca_topic_score_codex":0.00015392172,"about_ca_topic_score_gemma":0.00004711878,"teacher_disagreement_score":0.4883085,"about_ca_system_score_codex":0.00021285677,"about_ca_system_score_gemma":0.0000888266,"threshold_uncertainty_score":0.9996116},"labels":[],"label_agreement":null},{"id":"W4404324943","doi":"10.1112/topo.70005","title":"Recalibrating R$\\mathbb {R}$‐order trees and Homeo+(S1)$\\mbox{Homeo}_+(S^1)$‐representations of link groups","year":2024,"lang":"en","type":"article","venue":"Journal of Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Order (exchange); Mathematics; Link (geometry); Combinatorics; Business","score_opus":0.034102725752952784,"score_gpt":0.3368846289716751,"score_spread":0.30278190321872234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404324943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95680994,0.0053563197,0.01949185,0.013156721,0.0017285802,0.00015665712,0.000016693337,0.000057083023,0.003226184],"genre_scores_gemma":[0.9778289,0.0004258029,0.019769689,0.00011593584,0.00065211067,0.000003308572,0.0000024951523,0.000029630664,0.0011720891],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99819964,0.00017059143,0.0009392889,0.00019275844,0.00022196614,0.0002757456],"domain_scores_gemma":[0.99716014,0.001896732,0.00044619216,0.0002013989,0.00018096858,0.00011460069],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005777123,0.00016634382,0.00060764194,0.0007379907,0.0000774799,0.000039335588,0.00022350984,0.00020461364,0.0007306713],"category_scores_gemma":[0.001427738,0.00013054763,0.00016780967,0.0006482556,0.00032230586,0.00021929982,0.000111723915,0.00043726023,0.000013944071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000101483136,0.00031220002,0.009359121,0.0006530245,0.0008851155,0.00047384686,0.005504568,0.000056663113,0.003944982,0.9093111,0.022699153,0.046698708],"study_design_scores_gemma":[0.0014131998,0.0012012881,0.006791383,0.00025677186,0.00042804432,0.0033615266,0.005150431,0.00094899087,0.00204688,0.96944106,0.00859706,0.00036335844],"about_ca_topic_score_codex":0.000025515521,"about_ca_topic_score_gemma":0.00002632653,"teacher_disagreement_score":0.060129933,"about_ca_system_score_codex":0.000026310585,"about_ca_system_score_gemma":0.00012339244,"threshold_uncertainty_score":0.8000338},"labels":[],"label_agreement":null},{"id":"W4404570819","doi":"10.48550/arxiv.2411.11422","title":"On certain $C^0$-aspects of contactomorphism groups","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Courtois Foundation","keywords":"Conjugacy class; Norm (philosophy); Mathematics; Bounded function; Pure mathematics; Equivalence relation; Invariant (physics); Equivalence (formal languages); Mathematical analysis; Political science","score_opus":0.09294689938097749,"score_gpt":0.21955051429971678,"score_spread":0.12660361491873928,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404570819","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93657184,0.00011591989,0.005908375,0.00015222192,0.0009340874,0.00035110745,0.00006907161,0.0001746169,0.05572276],"genre_scores_gemma":[0.99343157,0.000052297786,0.00012073893,0.00005417317,0.00008620276,8.431626e-7,0.000014258207,0.00004065671,0.0061992714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840105,0.00011220792,0.0002947745,0.00075600494,0.000109453176,0.00032653369],"domain_scores_gemma":[0.9978319,0.00081632915,0.00030761413,0.0008181503,0.000099758276,0.00012628277],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00023241703,0.00034836747,0.000650378,0.0006998115,0.00004905953,0.000017475553,0.00058231433,0.00047032462,0.00062450295],"category_scores_gemma":[0.00029393635,0.0003597104,0.0003459326,0.00065330626,0.00017704307,0.000028516624,0.00092295854,0.000920374,0.00030708426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000529447,0.00017075986,0.00015146582,0.0004397871,0.00023934914,0.00060443213,0.00016886948,0.0005556112,0.000018111798,0.9954608,0.002028084,0.00010977744],"study_design_scores_gemma":[0.00045837436,0.00015199021,0.0001793072,0.0002201966,0.00027664227,0.0000071701857,0.00016265064,0.0022770055,0.00023891302,0.9955031,0.00020711518,0.00031748015],"about_ca_topic_score_codex":0.00018822048,"about_ca_topic_score_gemma":0.00006973199,"teacher_disagreement_score":0.056859713,"about_ca_system_score_codex":0.00018537001,"about_ca_system_score_gemma":0.00016581167,"threshold_uncertainty_score":0.9998855},"labels":[],"label_agreement":null},{"id":"W4404599304","doi":"10.1017/etds.2024.75","title":"Random walks on groups and superlinear-divergent geodesics","year":2024,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Geometric and Algebraic Topology","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":"Geodesic; Mathematics; Random walk; Isometry (Riemannian geometry); Central limit theorem; Invariant (physics); Limit (mathematics); Pure mathematics; Divergence (linguistics); Mathematical analysis; Mathematical physics; Statistics","score_opus":0.01626023036232117,"score_gpt":0.27028652375117673,"score_spread":0.2540262933888556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404599304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9596626,0.0052771703,0.03126806,0.00022431089,0.0013097092,0.00033531222,0.000029001427,0.00021011654,0.0016836744],"genre_scores_gemma":[0.99638844,0.00017287384,0.00008401688,0.00006376469,0.00024665336,0.000023287459,0.000007739311,0.000024572453,0.002988642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844986,0.00039287953,0.0003175591,0.00036843857,0.0001874843,0.0002838049],"domain_scores_gemma":[0.99684113,0.0027465392,0.000034474662,0.00019181793,0.000017522727,0.00016853446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013589319,0.00020287528,0.0003841249,0.00013548664,0.00013105551,0.000099029705,0.00009443866,0.00018516486,0.000111853304],"category_scores_gemma":[0.00041204647,0.00014214667,0.00007677397,0.00017471952,0.00020730085,0.00005629466,0.00007694786,0.00026787855,0.000052747047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019506452,0.00004829968,0.00010651979,0.0003177412,0.00007997214,0.000056217505,0.00038663347,0.000012278008,0.000038097158,0.9947793,0.00042202367,0.003557849],"study_design_scores_gemma":[0.0020951391,0.00043919237,0.000534871,0.00040256514,0.0001936595,0.00040366454,0.0011966011,0.031170517,0.000020264755,0.95609415,0.006938151,0.00051123544],"about_ca_topic_score_codex":0.000018969105,"about_ca_topic_score_gemma":0.000002491406,"teacher_disagreement_score":0.038685165,"about_ca_system_score_codex":0.000032835786,"about_ca_system_score_gemma":0.000016070207,"threshold_uncertainty_score":0.57965726},"labels":[],"label_agreement":null},{"id":"W4404925039","doi":"10.1007/s00029-024-00999-3","title":"JSJ decompositions of knot exteriors, Dehn surgery and the L-space conjecture","year":2024,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Knot (papermaking); Dehn surgery; Conjecture; Mathematics; Combinatorics; Space (punctuation); Pure mathematics; Computer science; Materials science; Composite material","score_opus":0.020985090739097125,"score_gpt":0.288740699350132,"score_spread":0.2677556086110349,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404925039","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9013392,0.010368961,0.054078665,0.016670397,0.0007706879,0.0013137079,0.00004842318,0.0005543925,0.014855576],"genre_scores_gemma":[0.9908447,0.00011782656,0.007752688,0.00006987359,0.00007401349,0.00003838746,0.0000028647776,0.000032497162,0.0010671008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987836,0.00013722478,0.00041594185,0.00021855245,0.00018357027,0.00026110045],"domain_scores_gemma":[0.99229276,0.007176734,0.00010672228,0.00031806753,0.000047486057,0.000058200963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071564474,0.0001780989,0.0005219123,0.00022209971,0.0001072551,0.000063685555,0.00015401731,0.000098734876,0.0004548211],"category_scores_gemma":[0.0009899437,0.000107564556,0.00015979735,0.00051345985,0.0003511526,0.0000609702,0.00007546878,0.0001999127,0.000037379024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020746158,0.00006657273,0.000028286966,0.00087070785,0.00016465061,0.000011670514,0.0023690318,2.634349e-7,0.00035487497,0.97877455,0.016256223,0.001082401],"study_design_scores_gemma":[0.0003460266,0.00004268782,0.00006238693,0.00029202554,0.00022795635,0.000403259,0.00025986996,0.0006199888,0.0018843208,0.99359804,0.0020831146,0.00018030482],"about_ca_topic_score_codex":0.000010046664,"about_ca_topic_score_gemma":0.000008273464,"teacher_disagreement_score":0.08950556,"about_ca_system_score_codex":0.00001590153,"about_ca_system_score_gemma":0.00008371074,"threshold_uncertainty_score":0.49799722},"labels":[],"label_agreement":null},{"id":"W4405258545","doi":"10.1017/s030500412400029x","title":"On knots that divide ribbon knotted surfaces","year":2024,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ribbon; Knot (papermaking); Genus; Combinatorics; Mathematics; Geometry; Biology; Materials science; Botany","score_opus":0.0503351393182149,"score_gpt":0.2915709474272105,"score_spread":0.24123580810899561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405258545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9263256,0.00024218093,0.00067203515,0.042714953,0.00036675038,0.00067245844,0.000038866383,0.00044662203,0.028520506],"genre_scores_gemma":[0.99579626,0.00002003062,0.0017748226,0.0005915382,0.00030975975,0.00003633408,0.0000014273585,0.00007194908,0.0013978923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99720675,0.000025414844,0.000656392,0.0005689427,0.0009792834,0.00056321995],"domain_scores_gemma":[0.9969366,0.0022109516,0.00021348118,0.0003107491,0.00014368656,0.00018452913],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010162512,0.0004108309,0.00070267473,0.000084681546,0.00020849796,0.00011762314,0.00080011936,0.00037212844,0.00017318311],"category_scores_gemma":[0.0018131994,0.00024855323,0.00088961597,0.0009498107,0.00065933523,0.00016436212,0.00045648532,0.0008805485,0.00013316693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016792917,0.00028814076,0.000084099986,0.0014642741,0.00017804012,0.0000017440466,0.00038960497,9.323775e-7,0.0011418427,0.9582922,0.03791545,0.00022691835],"study_design_scores_gemma":[0.00029034552,0.00013697355,0.00028666246,0.0005909122,0.0001754441,0.00003471054,0.00010062414,0.0018299876,0.0036961418,0.99194485,0.0006279721,0.00028538334],"about_ca_topic_score_codex":0.0000024997153,"about_ca_topic_score_gemma":6.201535e-8,"teacher_disagreement_score":0.06947062,"about_ca_system_score_codex":0.000114045724,"about_ca_system_score_gemma":0.000040030212,"threshold_uncertainty_score":0.99999666},"labels":[],"label_agreement":null},{"id":"W4405309012","doi":"10.2140/agt.2024.24.4007","title":"Lattices, injective metrics and the K(π,1)conjecture","year":2024,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Injective function; Combinatorics; Conjecture; Metric space; Pure mathematics; Discrete mathematics","score_opus":0.021812898395563957,"score_gpt":0.2939450468183243,"score_spread":0.27213214842276034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405309012","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7223424,0.14254963,0.045661747,0.041264754,0.007529773,0.0023704648,0.00007664112,0.0016103565,0.03659423],"genre_scores_gemma":[0.9909427,0.0009183927,0.0017796812,0.0010591105,0.00052669254,0.00008406747,0.000008119159,0.00006948628,0.004611725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996646,0.000491514,0.00068061106,0.0008603125,0.0004455722,0.0008760217],"domain_scores_gemma":[0.9836967,0.015153554,0.00018573685,0.0006613198,0.00011004842,0.00019266353],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020527383,0.0004632207,0.00087879994,0.00336604,0.0003279895,0.00017290104,0.0006000733,0.0004861817,0.0011684597],"category_scores_gemma":[0.0072020884,0.00029273747,0.00026709316,0.010356592,0.0014854979,0.00019503618,0.00043593516,0.0009977566,0.00022794859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043316777,0.000053899657,0.0006275812,0.00011407741,0.00042016766,0.0000892651,0.00084962597,9.703409e-7,0.000003826269,0.93465084,0.009496242,0.053650215],"study_design_scores_gemma":[0.0019227855,0.0003108228,0.002026113,0.000023628512,0.0004638756,0.0010117897,0.0007983702,0.00028281214,0.00009188527,0.9463998,0.046218354,0.00044973753],"about_ca_topic_score_codex":0.00029663148,"about_ca_topic_score_gemma":0.000050700364,"teacher_disagreement_score":0.2686003,"about_ca_system_score_codex":0.000105461295,"about_ca_system_score_gemma":0.00015215429,"threshold_uncertainty_score":0.9999525},"labels":[],"label_agreement":null},{"id":"W4405654186","doi":"10.1016/j.aim.2025.110728","title":"Four-manifolds, two-complexes and the quadratic bias invariant","year":2025,"lang":"en","type":"preprint","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","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; Heilbronn Institute for Mathematical Research; Natural Sciences and Engineering Research Council of Canada; University of Glasgow","keywords":"Invariant (physics); Quadratic equation; Mathematics; Pure mathematics; Mathematical physics; Geometry","score_opus":0.06474973650754949,"score_gpt":0.341871163948398,"score_spread":0.2771214274408485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405654186","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23451549,0.083979554,0.36887956,0.013572433,0.007295714,0.014626702,0.00041320224,0.0012475875,0.27546978],"genre_scores_gemma":[0.6048995,0.010718472,0.37426987,0.0007942756,0.00045932474,0.0008172904,0.000028476075,0.00013244539,0.007880294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970382,0.0003376818,0.0012146363,0.0005514629,0.00039422265,0.00046381302],"domain_scores_gemma":[0.98930824,0.008660916,0.0007552009,0.001123508,0.000087761364,0.000064399115],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019439042,0.00052357087,0.0013659316,0.00042306402,0.00014716231,0.000112407775,0.00088428106,0.00027560498,0.00011406398],"category_scores_gemma":[0.0045626177,0.00034696062,0.00018487305,0.00049997214,0.00057714793,0.000121975456,0.0013263277,0.0009215166,0.000017604632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018303816,0.00014147839,0.00016121841,0.002665605,0.00008552793,0.00002556916,0.002515059,0.00019032911,9.779881e-7,0.99184,0.00027319617,0.0020827404],"study_design_scores_gemma":[0.0014785673,0.000018704251,0.00004372035,0.00085984595,0.00017998535,0.000052979656,0.0011632715,0.005450284,0.00002034108,0.98934275,0.0010433025,0.00034626745],"about_ca_topic_score_codex":0.000066233704,"about_ca_topic_score_gemma":0.00037246378,"teacher_disagreement_score":0.37038404,"about_ca_system_score_codex":0.00006943869,"about_ca_system_score_gemma":0.00013671727,"threshold_uncertainty_score":0.99989825},"labels":[],"label_agreement":null},{"id":"W4405967562","doi":"10.2140/gt.2025.29.259","title":"Hyperbolic hyperbolic-by-cyclic groups are cubulable","year":2025,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Centre National de la Recherche Scientifique; Israel Science Foundation; Agence Nationale de la Recherche","keywords":"Mathematics; Relatively hyperbolic group; Hyperbolic 3-manifold; Hyperbolic manifold; Pure mathematics; Hyperbolic group; Cyclic group; Hyperbolic function; Mathematical analysis","score_opus":0.017824041845993056,"score_gpt":0.29411962052984425,"score_spread":0.2762955786838512,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405967562","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94778925,0.0039883107,0.003499887,0.0068014273,0.002292616,0.0004691279,0.000043191136,0.00043066128,0.034685545],"genre_scores_gemma":[0.9681168,0.000237521,0.0013535636,0.0029223356,0.00031805472,0.000112781025,0.000025688605,0.00005445742,0.02685878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99685544,0.00021268104,0.00071129034,0.00078604324,0.00026245552,0.0011721107],"domain_scores_gemma":[0.99694854,0.001448193,0.00027859467,0.0010038222,0.00012460802,0.00019625657],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00049727777,0.00044647077,0.0010479585,0.001322696,0.0003113298,0.000041862026,0.00077913504,0.00060003885,0.0025724773],"category_scores_gemma":[0.0020898038,0.00042733114,0.00023143073,0.0028521605,0.00049011887,0.00011505968,0.00041573725,0.0005857894,0.00061966025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058375135,0.00078960427,0.050910894,0.00025829495,0.0004267241,0.00007189152,0.00019673818,0.00000424164,0.0018933738,0.67068267,0.26216066,0.012546545],"study_design_scores_gemma":[0.0023926138,0.00024809936,0.016193654,0.000054921144,0.00026197944,0.00019716151,0.0011414617,0.0000322698,0.0035109841,0.5617726,0.41336083,0.0008334466],"about_ca_topic_score_codex":0.00025546356,"about_ca_topic_score_gemma":0.0000667741,"teacher_disagreement_score":0.15120019,"about_ca_system_score_codex":0.00012878406,"about_ca_system_score_gemma":0.00009413778,"threshold_uncertainty_score":0.99981785},"labels":[],"label_agreement":null},{"id":"W4406184846","doi":"10.4153/s0008439524000432","title":"Generalized torsion orders and Alexander polynomials","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Torsion (gastropod); Alexander polynomial; Pure mathematics; Algebra over a field; Combinatorics; Surgery","score_opus":0.019219208369895987,"score_gpt":0.2769034820673338,"score_spread":0.2576842736974378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406184846","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8137079,0.0005876138,0.007719663,0.04369768,0.00032806964,0.0007363207,0.000019472836,0.0001464786,0.1330568],"genre_scores_gemma":[0.91716903,0.000027839023,0.016371656,0.005015973,0.000091774695,0.000046030545,0.000005982402,0.000036734753,0.06123498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877286,0.00007382699,0.0003343191,0.00026603966,0.000109519315,0.000443437],"domain_scores_gemma":[0.99869394,0.00055414357,0.000049608727,0.00028223894,0.000043722746,0.00037633223],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00037675595,0.0001767443,0.00037352543,0.0003603255,0.00015494444,0.00004579964,0.00016422293,0.00018267322,0.023127683],"category_scores_gemma":[0.0016226805,0.00015374275,0.0000647115,0.00027918717,0.00016221065,0.000015401949,0.000055698656,0.00014172768,0.00095707545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005269039,0.00002440039,0.00011300163,0.000105893865,0.00003465582,0.000012786427,0.0000716178,1.7641442e-7,0.000026412104,0.76991564,0.22876823,0.00092188304],"study_design_scores_gemma":[0.000893223,0.00003295142,0.0003229628,0.00009391939,0.00007762372,0.000030108313,0.00023625136,0.000091030706,0.00019014164,0.71172345,0.2860257,0.00028266117],"about_ca_topic_score_codex":0.0013288961,"about_ca_topic_score_gemma":0.00081153016,"teacher_disagreement_score":0.10346113,"about_ca_system_score_codex":0.00009077488,"about_ca_system_score_gemma":0.00016956514,"threshold_uncertainty_score":0.99982077},"labels":[],"label_agreement":null},{"id":"W4406299960","doi":"10.4153/s0008439524000912","title":"A characterization of virtually free groups among hyperbolic groups","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Centro de Matemática Universidade do Porto; Fundação para a Ciência e a Tecnologia","keywords":"Mathematics; Relatively hyperbolic group; Hyperbolic group; Free group; Pure mathematics; Geodesic; Boundary (topology); Group (periodic table); Bounded function; Element (criminal law); Hyperbolic manifold; Hyperbolic function; Mathematical analysis","score_opus":0.011892268123391222,"score_gpt":0.23035297008764025,"score_spread":0.21846070196424902,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406299960","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9564015,0.000026345611,0.011060433,0.0042523826,0.00014679226,0.00040792784,0.000046233632,0.0000682328,0.027590144],"genre_scores_gemma":[0.9923167,0.000006144362,0.0016941808,0.00070993137,0.000064924156,0.0000474392,0.000018171664,0.000030831903,0.0051116515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983206,0.000087733395,0.0006227438,0.0002835713,0.00020745187,0.0004779091],"domain_scores_gemma":[0.99817276,0.0005907564,0.00015768882,0.00064801367,0.00010905664,0.0003217462],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042974367,0.00021780634,0.0005344276,0.000585904,0.000100313046,0.000030187553,0.0005166829,0.00023899978,0.008049055],"category_scores_gemma":[0.002894926,0.00020543432,0.00012879101,0.0006448845,0.00025684407,0.0000360829,0.00010224508,0.00021271317,0.0007445661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006056832,0.000096526186,0.00045598217,0.00029193482,0.000057304347,0.000016098273,0.000292293,1.582246e-7,0.0007989142,0.98967725,0.007588297,0.0007191594],"study_design_scores_gemma":[0.00072260975,0.00006978825,0.0092287725,0.00025515683,0.00011015845,0.00001649607,0.00031491948,0.000108730026,0.0011486857,0.979071,0.008637157,0.00031650905],"about_ca_topic_score_codex":0.00041789177,"about_ca_topic_score_gemma":0.0010601059,"teacher_disagreement_score":0.03591522,"about_ca_system_score_codex":0.00010605346,"about_ca_system_score_gemma":0.00019770258,"threshold_uncertainty_score":0.9928577},"labels":[],"label_agreement":null},{"id":"W4406485023","doi":"10.48550/arxiv.2501.08835","title":"Relative knot probabilities in confined lattice polygons","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Knot (papermaking); Lattice (music); Combinatorics; Mathematics; Geometry; Physics; Materials science","score_opus":0.09884947354863896,"score_gpt":0.33635296260898284,"score_spread":0.23750348906034388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406485023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9374197,0.00048372307,0.00069096265,0.0031140752,0.0007924288,0.000843289,0.00007051091,0.00018525106,0.05640005],"genre_scores_gemma":[0.94586056,0.000047493926,0.00377618,0.00025695915,0.00012425514,0.0001729746,0.00002787715,0.000028282924,0.049705427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99776286,0.0002505797,0.0006996947,0.0006403709,0.00018733897,0.00045913339],"domain_scores_gemma":[0.99638593,0.0022967842,0.00029329525,0.00081237336,0.00013642029,0.00007520408],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005111942,0.0003778737,0.00078488514,0.0005372164,0.00007247812,0.00002100724,0.00047140985,0.000611017,0.00055094523],"category_scores_gemma":[0.0039939936,0.0003597175,0.00018834008,0.0005419754,0.00024804243,0.00006338333,0.00086665875,0.0012618884,0.00013568514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045594148,0.00040256776,0.2519982,0.0011582536,0.00029258092,0.000039385453,0.004772314,0.000021040945,0.000012615531,0.73838466,0.0023698697,0.0005029041],"study_design_scores_gemma":[0.0007710016,0.00007042655,0.09075631,0.00048356096,0.00016765838,0.0000053080066,0.0011076863,0.00005679032,0.00021843391,0.902826,0.003026279,0.0005105469],"about_ca_topic_score_codex":0.00055643194,"about_ca_topic_score_gemma":0.00030878192,"teacher_disagreement_score":0.1644413,"about_ca_system_score_codex":0.00015659507,"about_ca_system_score_gemma":0.000409639,"threshold_uncertainty_score":0.9998855},"labels":[],"label_agreement":null},{"id":"W4407231844","doi":"10.48550/arxiv.2502.03464","title":"Improving the trivial bound for $\\ell$-torsion in class groups","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Torsion (gastropod); Mathematics; Class (philosophy); Pure mathematics; Combinatorics; Computer science; Medicine; Artificial intelligence; Anatomy","score_opus":0.07432103330375579,"score_gpt":0.3229581983227311,"score_spread":0.24863716501897531,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407231844","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9848521,0.00035749565,0.008527212,0.0012963075,0.0023916094,0.0012216936,0.00003933418,0.00008963348,0.0012246433],"genre_scores_gemma":[0.9918143,0.000046177527,0.0013513756,0.00029570985,0.0006572658,0.00024714263,0.000031293075,0.000034229823,0.005522477],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798864,0.0001359016,0.0006158084,0.0005875868,0.00018937283,0.00048270545],"domain_scores_gemma":[0.99705184,0.0016641387,0.00035572288,0.0007897654,0.00008432261,0.000054241056],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009910967,0.00032620135,0.00058531,0.00035175815,0.00017567672,0.000049481445,0.0006894478,0.0005728497,0.00007389318],"category_scores_gemma":[0.0020930907,0.00024281944,0.0002843444,0.00037764106,0.0001226919,0.000044556262,0.0009712804,0.0009140022,0.000027351654],"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":[0.0008018434,0.002125754,0.44876492,0.009137663,0.0010179082,0.000093975046,0.0083886115,0.00014391431,0.0016984387,0.4257441,0.05500419,0.04707871],"study_design_scores_gemma":[0.00516838,0.00038893145,0.066073716,0.00075938366,0.00068230764,0.000016891221,0.0019010092,0.0037589509,0.002975736,0.88851535,0.028125552,0.001633769],"about_ca_topic_score_codex":0.0002538194,"about_ca_topic_score_gemma":0.00021450287,"teacher_disagreement_score":0.4627713,"about_ca_system_score_codex":0.00017031627,"about_ca_system_score_gemma":0.0002536086,"threshold_uncertainty_score":0.99018896},"labels":[],"label_agreement":null},{"id":"W4407294210","doi":"10.5802/aif.3671","title":"An upper bound on the denominator of Eisenstein classes in Bianchi manifolds","year":2025,"lang":"lv","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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; Pure mathematics; Upper and lower bounds; Combinatorics; Mathematical analysis","score_opus":0.02746200628711562,"score_gpt":0.3019758029469113,"score_spread":0.2745137966597957,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407294210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9592481,0.002181063,0.00042514104,0.005484249,0.00068304955,0.00053274474,0.000047667843,0.000034165692,0.031363823],"genre_scores_gemma":[0.9902043,0.00034637054,0.0010505542,0.0017565602,0.00017429353,0.00003338574,0.000007686157,0.000033599164,0.0063932836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997332,0.0003399678,0.0007885377,0.0004933732,0.00032746303,0.0007186678],"domain_scores_gemma":[0.9972164,0.0011719764,0.0002809374,0.0010616578,0.00013419437,0.00013481388],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009216182,0.00040391946,0.000668416,0.00077877153,0.00024906243,0.00009868819,0.0007306474,0.0004321914,0.0006169966],"category_scores_gemma":[0.0011871894,0.00031653827,0.00023948018,0.0011810736,0.00072118215,0.00016139612,0.00014811399,0.0005686372,0.00015850305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001464204,0.0011054382,0.02351388,0.00043274098,0.00029360695,0.00018162634,0.0016611217,0.00007306731,0.000237699,0.9512052,0.013355757,0.007793427],"study_design_scores_gemma":[0.005256324,0.0018562841,0.116683,0.0033707782,0.0011465732,0.00015548899,0.01488471,0.0047190906,0.015702352,0.43791565,0.39631408,0.0019956634],"about_ca_topic_score_codex":0.00019622104,"about_ca_topic_score_gemma":0.0006378642,"teacher_disagreement_score":0.5132896,"about_ca_system_score_codex":0.00015112813,"about_ca_system_score_gemma":0.00066250406,"threshold_uncertainty_score":0.99992865},"labels":[],"label_agreement":null},{"id":"W4407555304","doi":"10.1017/fms.2025.3","title":"The conjugacy problem for $\\operatorname {Out}(F_3)$","year":2025,"lang":"en","type":"article","venue":"Forum of Mathematics Sigma","topic":"Geometric and Algebraic Topology","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 Fredericton; University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Agence Nationale de la Recherche; European Commission; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Conjugacy class; Mathematics; Combinatorics","score_opus":0.025373502084452885,"score_gpt":0.31692080789782817,"score_spread":0.2915473058133753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407555304","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10082219,0.0024196496,0.7347582,0.025014542,0.0023753962,0.006562731,0.00015993575,0.00048095014,0.1274064],"genre_scores_gemma":[0.73532236,0.00009770809,0.2089047,0.0005444147,0.00014217466,0.00056853076,0.000010673399,0.0000969326,0.054312516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825084,0.00003821005,0.0008024559,0.00021499403,0.00022428403,0.00046919647],"domain_scores_gemma":[0.99488777,0.0038537902,0.00035023107,0.00061599497,0.00023927524,0.00005290991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094095425,0.00021093493,0.00049000775,0.0001549584,0.00028987657,0.00004761204,0.0005606576,0.00013847115,0.00007784757],"category_scores_gemma":[0.002315429,0.00013842846,0.00021057852,0.0003292653,0.00020630177,0.00005747775,0.00016173722,0.00013837042,0.000020580002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013473796,0.0002060511,0.00007784698,0.0005768036,0.00012742297,4.847959e-7,0.00054100837,0.0000020426428,0.00020261665,0.94017375,0.05612258,0.0019558987],"study_design_scores_gemma":[0.0007395846,0.00012952361,0.000008754808,0.00014288581,0.00008423724,0.0000039819174,0.0021782466,0.0005057674,0.0043968647,0.94514054,0.04652677,0.00014283053],"about_ca_topic_score_codex":0.0000042873667,"about_ca_topic_score_gemma":0.000030275076,"teacher_disagreement_score":0.63450015,"about_ca_system_score_codex":0.00003541007,"about_ca_system_score_gemma":0.00012547086,"threshold_uncertainty_score":0.56449485},"labels":[],"label_agreement":null},{"id":"W4407671619","doi":"10.4171/qt/232","title":"A proof of the Kashaev signature conjecture","year":2025,"lang":"en","type":"article","venue":"Quantum Topology","topic":"Geometric and Algebraic Topology","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; Signature (topology); Conjecture; Pure mathematics; Algebra over a field; Geometry","score_opus":0.018921701268424428,"score_gpt":0.30130164074863597,"score_spread":0.28237993948021156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407671619","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9283199,0.0021191349,0.009490808,0.028866637,0.0029060494,0.00082975597,0.000026185355,0.00011104028,0.027330538],"genre_scores_gemma":[0.9933546,0.0000048536094,0.00039428342,0.0007732341,0.000051031453,0.000015012323,0.0000012202166,0.000009317366,0.00539642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989389,0.00016073327,0.00031179117,0.0002112851,0.000107014675,0.0002702604],"domain_scores_gemma":[0.99856627,0.0006963349,0.00016378154,0.0004814829,0.00006693106,0.000025210493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020795858,0.00013799634,0.00036368886,0.00016849418,0.00008870689,0.000003857816,0.00043213746,0.00031582688,0.00045614643],"category_scores_gemma":[0.0011136959,0.000085193766,0.00013525483,0.0006827181,0.00043781244,0.00001719048,0.00016455514,0.0003531879,0.0000056026893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014554025,0.00007979022,0.0014209934,0.000084019484,0.000058867707,0.0000033049698,0.00018689304,0.000002397101,0.0002811207,0.97796935,0.019024268,0.00087446166],"study_design_scores_gemma":[0.00042246666,0.00009638467,0.0015018783,0.000027288906,0.000059262213,0.000024123114,0.00026165805,0.000066637775,0.008112278,0.97571766,0.013621948,0.00008843598],"about_ca_topic_score_codex":0.00003499563,"about_ca_topic_score_gemma":0.000047701167,"teacher_disagreement_score":0.06503478,"about_ca_system_score_codex":0.000020952653,"about_ca_system_score_gemma":0.00012773751,"threshold_uncertainty_score":0.49944836},"labels":[],"label_agreement":null},{"id":"W4407890806","doi":"10.1007/s10711-025-00991-x","title":"The lamplighter groups have infinite weak cop number","year":2025,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hyperbolic geometry; Mathematics; Algebraic geometry; Projective geometry; Differential geometry; Pure mathematics; Combinatorics","score_opus":0.02831889120617579,"score_gpt":0.323900169624153,"score_spread":0.2955812784179772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407890806","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.303865,0.0038133706,0.049526274,0.038629003,0.0063635493,0.0018511058,0.0001618131,0.00073913595,0.59505075],"genre_scores_gemma":[0.94338393,0.0004672067,0.0023393382,0.0015617003,0.00051137607,0.00011851212,0.00006936198,0.000047008296,0.05150157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976594,0.0001323187,0.0006382895,0.00043357754,0.00044939105,0.00068703014],"domain_scores_gemma":[0.993521,0.004822435,0.00021773278,0.0011569759,0.00013800224,0.00014389842],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014667329,0.00026217973,0.0004248024,0.00065829733,0.00047266245,0.00011970292,0.00098952,0.00025273312,0.0016516696],"category_scores_gemma":[0.006088182,0.00017574905,0.00017606035,0.0029645604,0.00034087052,0.00009257985,0.00051482004,0.00045666998,0.00090185663],"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":[0.000038477014,0.00012114582,0.013053286,0.0000474036,0.00022612337,0.000009051531,0.00009468559,1.8405065e-7,0.000012205808,0.5365738,0.43549922,0.014324376],"study_design_scores_gemma":[0.0010494207,0.00003406129,0.0068934816,0.000031796884,0.000099660814,0.0000221969,0.00039952277,0.000016561879,0.00021995338,0.32418486,0.6668334,0.00021509812],"about_ca_topic_score_codex":0.000048749356,"about_ca_topic_score_gemma":0.00004648893,"teacher_disagreement_score":0.6395189,"about_ca_system_score_codex":0.00006253988,"about_ca_system_score_gemma":0.000114876006,"threshold_uncertainty_score":0.9998761},"labels":[],"label_agreement":null},{"id":"W4407963489","doi":"10.4310/hha.2025.v27.n1.a4","title":"Mapping class groups of manifolds with boundary are of finite type","year":2025,"lang":"en","type":"article","venue":"Homology Homotopy and Applications","topic":"Geometric and Algebraic Topology","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":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Class (philosophy); Pure mathematics; Type (biology); Boundary (topology); Algebra over a field; Mathematical analysis","score_opus":0.01956947942098712,"score_gpt":0.2789143630024931,"score_spread":0.259344883581506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407963489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8755488,0.0010670318,0.10902222,0.0010281679,0.00006056668,0.0005787466,0.000033200846,0.000052549578,0.012608725],"genre_scores_gemma":[0.99407613,0.00007921129,0.004590853,0.000099541525,0.00002042552,0.000083923005,0.00000859038,0.0000073383894,0.0010339748],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932086,0.000033590484,0.00026943674,0.0001832643,0.000055371143,0.00013749338],"domain_scores_gemma":[0.9988814,0.0004840029,0.00019634486,0.00030021474,0.000110415924,0.0000276368],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012420876,0.000095931035,0.00029863196,0.00024182508,0.000096711745,0.0000043570217,0.00013715072,0.00012247771,0.000050286057],"category_scores_gemma":[0.0000703597,0.000082852115,0.00003203363,0.0007282444,0.00040584095,0.000024512974,0.00006720029,0.000111253255,0.0000037028808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028043401,0.00023404417,0.031196745,0.00035274652,0.00011843261,0.0000031971927,0.00023137411,0.0000024907115,0.00034719077,0.9635171,0.0007136713,0.0032549421],"study_design_scores_gemma":[0.001089611,0.00029258453,0.07005756,0.00012469235,0.00016468302,0.00006961934,0.0025999513,0.00006634593,0.001761965,0.88712484,0.036408372,0.00023980132],"about_ca_topic_score_codex":0.000016299442,"about_ca_topic_score_gemma":0.000028962864,"teacher_disagreement_score":0.11852735,"about_ca_system_score_codex":0.000008761492,"about_ca_system_score_gemma":0.000063971514,"threshold_uncertainty_score":0.33786112},"labels":[],"label_agreement":null},{"id":"W4408177072","doi":"10.1093/imrn/rnaf043","title":"Non-integer Characterizing Slopes and Knot Floer Homology","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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 du Québec à Montréal","funders":"","keywords":"Mathematics; Floer homology; Knot (papermaking); Pure mathematics; Knot invariant; Khovanov homology; Knot polynomial; Homology (biology); Combinatorics; Knot theory; Algebra over a field; Symplectic geometry","score_opus":0.10552079360822919,"score_gpt":0.44837724772771664,"score_spread":0.34285645411948745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408177072","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8662946,0.00018295454,0.009496361,0.0098263305,0.00090489956,0.00048217928,0.000016443313,0.00008679152,0.11270943],"genre_scores_gemma":[0.96535474,0.000116282295,0.019637857,0.00021462406,0.00018325384,0.00007889739,0.00000703848,0.000025070614,0.014382244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980272,0.000098909404,0.0004772676,0.00035287387,0.0005926151,0.0004511275],"domain_scores_gemma":[0.9956298,0.003350045,0.00012650846,0.00032301503,0.000484688,0.000085959204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016578462,0.00017617499,0.00033733802,0.0010638719,0.00019271173,0.00018141892,0.00065459113,0.00014873758,0.0005173205],"category_scores_gemma":[0.003659575,0.00014746774,0.00006718812,0.0004667997,0.0003771856,0.00015303312,0.0005712921,0.00048164165,0.00013914307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003078125,0.00041080857,0.0015362923,0.00045030436,0.000300002,0.000040918094,0.0012936875,0.0000020820219,0.0023485587,0.98403966,0.004207091,0.0053398185],"study_design_scores_gemma":[0.0007343318,0.00009865722,0.0021910262,0.0003653452,0.00004039938,0.00004352292,0.001660312,0.0036087558,0.0058683227,0.9655048,0.019626582,0.00025790013],"about_ca_topic_score_codex":0.000044402306,"about_ca_topic_score_gemma":0.00002405071,"teacher_disagreement_score":0.099060126,"about_ca_system_score_codex":0.000078967816,"about_ca_system_score_gemma":0.000091770766,"threshold_uncertainty_score":0.60135597},"labels":[],"label_agreement":null},{"id":"W4408216122","doi":"10.2140/agt.2025.25.267","title":"Relative h-principle and contactgeometry","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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; Geometry; Contact geometry","score_opus":0.021529928841333847,"score_gpt":0.32548999266842166,"score_spread":0.3039600638270878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408216122","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9067786,0.004272801,0.035786856,0.004650357,0.001460705,0.00061162346,0.000017564342,0.00035325994,0.04606825],"genre_scores_gemma":[0.9790567,0.00017523581,0.0043891156,0.0013183064,0.00011137056,0.0000544736,0.000009647514,0.00003469723,0.014850434],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969673,0.0002489436,0.0007777176,0.0008281363,0.00027547797,0.0009024131],"domain_scores_gemma":[0.99351585,0.0051029935,0.0002797306,0.0007201821,0.00016812769,0.00021310392],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009015344,0.00042345654,0.00092114805,0.0041729254,0.00032267786,0.000043071614,0.00048995996,0.00053097645,0.0013229543],"category_scores_gemma":[0.00737141,0.00039506808,0.00017029073,0.0070008924,0.00065797503,0.0002142109,0.00054612657,0.0006331481,0.00014517982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032276468,0.00014644794,0.021317624,0.00006589307,0.00029198354,0.00003235783,0.00010104984,3.3371455e-7,0.00003960836,0.95807546,0.0053004706,0.014596487],"study_design_scores_gemma":[0.0019521546,0.0003342687,0.060364757,0.000027705102,0.00022234504,0.00012775892,0.0003793459,0.00002391163,0.0005176352,0.8893287,0.046248928,0.0004724784],"about_ca_topic_score_codex":0.00016146855,"about_ca_topic_score_gemma":0.000036017555,"teacher_disagreement_score":0.072278135,"about_ca_system_score_codex":0.00013297393,"about_ca_system_score_gemma":0.00015187985,"threshold_uncertainty_score":0.9998501},"labels":[],"label_agreement":null},{"id":"W4408218748","doi":"10.4153/s0008439525000232","title":"Coloring invariants for links in $\\Sigma _g\\times S^1$","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Sigma; Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.030880682468999006,"score_gpt":0.29934259819297804,"score_spread":0.26846191572397904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408218748","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23063667,0.00055686483,0.089523286,0.12552406,0.0011586641,0.004686078,0.00012468966,0.00034240243,0.54744726],"genre_scores_gemma":[0.9446473,0.0000061552378,0.022574095,0.0024617158,0.0000932046,0.0002890142,0.000007584972,0.00004160355,0.029879289],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830866,0.000055492164,0.00052178337,0.00032161584,0.00011228078,0.0006801835],"domain_scores_gemma":[0.99708885,0.0021462718,0.000065715925,0.00033955136,0.00006482477,0.00029479168],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00069379265,0.00019919593,0.0004778364,0.0006585577,0.00011645726,0.000046198555,0.00033072644,0.0003791722,0.0068626283],"category_scores_gemma":[0.005577589,0.00019262504,0.00010154426,0.0005347394,0.000102618,0.000021796182,0.00005484732,0.00035144534,0.0009418771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009731504,0.000060706738,0.00020205091,0.00027704707,0.00002819944,0.000026373204,0.0001339468,0.0000018126154,0.0000054968505,0.923153,0.07501557,0.0010860714],"study_design_scores_gemma":[0.0007280502,0.00003847099,0.00028966763,0.00018770427,0.00003151861,0.000008686553,0.00025919438,0.00032549462,0.00009886165,0.8882869,0.10954213,0.0002033606],"about_ca_topic_score_codex":0.00066519075,"about_ca_topic_score_gemma":0.002528376,"teacher_disagreement_score":0.71401066,"about_ca_system_score_codex":0.0002201308,"about_ca_system_score_gemma":0.0003677624,"threshold_uncertainty_score":0.999836},"labels":[],"label_agreement":null},{"id":"W4408420419","doi":"10.1007/s00209-025-03710-0","title":"Lagrangian intersections and the spectral norm in convex-at-infinity symplectic manifolds","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Symplectic geometry; Lagrangian; Regular polygon; Pure mathematics; Norm (philosophy); Infinity; Mathematical analysis; Geometry","score_opus":0.014202199883960834,"score_gpt":0.26572056242583453,"score_spread":0.2515183625418737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408420419","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.554535,0.016971631,0.008312247,0.017415559,0.0037787799,0.003430487,0.00011008153,0.00034086622,0.3951054],"genre_scores_gemma":[0.9795189,0.00064925075,0.0011613368,0.0006601086,0.00021979093,0.00013486437,0.000011561861,0.000058920366,0.017585255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963032,0.0005185844,0.0012155168,0.0007008918,0.00034906346,0.00091275596],"domain_scores_gemma":[0.994798,0.0036096608,0.00038845214,0.00094985,0.00009686786,0.00015715517],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001916321,0.00060352456,0.0012599409,0.0008683557,0.0005792113,0.00018759897,0.00059770443,0.0004829245,0.0016495585],"category_scores_gemma":[0.002020835,0.00044757614,0.00032030747,0.0017764036,0.0009249665,0.00014990075,0.00070728647,0.0010579105,0.0008124239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015337038,0.00034171774,0.0030406963,0.00094868365,0.0005696627,0.000035228837,0.0063099544,0.0000023386788,0.000050169885,0.9816921,0.0063752444,0.00048088245],"study_design_scores_gemma":[0.029325988,0.0006125205,0.038452864,0.0028690514,0.0044332026,0.0007326447,0.015618748,0.0060593584,0.0017085217,0.74063414,0.15687771,0.002675241],"about_ca_topic_score_codex":0.00059442373,"about_ca_topic_score_gemma":0.0022648214,"teacher_disagreement_score":0.42498395,"about_ca_system_score_codex":0.00005796348,"about_ca_system_score_gemma":0.00016294006,"threshold_uncertainty_score":0.99996555},"labels":[],"label_agreement":null},{"id":"W4408581850","doi":"10.4153/s0008439525000323","title":"A note on the <i>X</i> -torsion order of a knot","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Knot (papermaking); Torsion (gastropod); Pure mathematics; Combinatorics; Surgery; Composite material","score_opus":0.019261579349147493,"score_gpt":0.27050941556879543,"score_spread":0.2512478362196479,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408581850","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20102501,0.00014022057,0.01596351,0.19418499,0.0004109526,0.0012772309,0.0000473425,0.00011042201,0.58684033],"genre_scores_gemma":[0.96868587,0.000004308393,0.00473617,0.0068269228,0.000044948283,0.000042713167,0.0000018081537,0.000023462495,0.019633785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988376,0.000088669796,0.00035633869,0.00018768816,0.00017584985,0.000353891],"domain_scores_gemma":[0.99699503,0.0021825074,0.00007705438,0.00048211185,0.00009464123,0.00016863618],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00050850346,0.0001507781,0.00031045463,0.00027144767,0.000119362,0.0000152091725,0.0003341931,0.00013752728,0.01479755],"category_scores_gemma":[0.005115272,0.0000976222,0.00009489689,0.0006246281,0.00018738555,0.000008518116,0.000047385274,0.00022588417,0.0024421436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005507325,0.000054687764,0.000008793884,0.00008720433,0.000018416333,0.0000057614693,0.000097806915,4.1251238e-7,0.000017671413,0.8632821,0.13587616,0.0005454871],"study_design_scores_gemma":[0.00026572825,0.000057708952,0.000051260165,0.00020107951,0.000044127886,0.000006605184,0.00019970741,0.00008703565,0.00066263013,0.76918,0.22911316,0.00013095792],"about_ca_topic_score_codex":0.00043856332,"about_ca_topic_score_gemma":0.0003346141,"teacher_disagreement_score":0.76766086,"about_ca_system_score_codex":0.000079121084,"about_ca_system_score_gemma":0.00024715732,"threshold_uncertainty_score":0.9983346},"labels":[],"label_agreement":null},{"id":"W4408912276","doi":"10.1016/j.nuclphysb.2025.116881","title":"Bipartite expansion beyond biparticity","year":2025,"lang":"en","type":"article","venue":"Nuclear Physics B","topic":"Geometric and Algebraic Topology","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":"National Research Council Canada; Foundation for the Advancement of Theoretical Physics and Mathematics; Ministry of Education and Science of the Russian Federation","keywords":"Bipartite graph; Computational biology; Biology; Medicine; Combinatorics; Mathematics","score_opus":0.03031321842454425,"score_gpt":0.3073367945418324,"score_spread":0.2770235761172881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408912276","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93629014,0.000043360873,0.0043276097,0.0010632336,0.00037020157,0.00014032559,0.0000043138252,0.00021411463,0.057546716],"genre_scores_gemma":[0.99449605,0.000007300633,0.0023353887,0.0007108735,0.00011314076,0.0000045460406,0.000001641455,0.000019606909,0.0023114285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920183,0.000039804323,0.00018004549,0.0002015221,0.00013069434,0.0002461293],"domain_scores_gemma":[0.9993338,0.00017533501,0.000056983394,0.0003348112,0.000048849586,0.000050243936],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012170568,0.00011300639,0.0002031013,0.00008142973,0.00012371472,0.00002371022,0.00015972916,0.00007417503,0.0002790021],"category_scores_gemma":[0.00016210825,0.00010401213,0.000083069295,0.0005907159,0.00008507125,0.00007518171,0.0001128749,0.00014655154,0.0003755668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000101636015,0.00017813203,0.0003914503,0.000036341557,0.000033826815,0.0000024036929,0.00024408379,0.000004350851,0.0018654395,0.95048726,0.0331137,0.013632832],"study_design_scores_gemma":[0.00037223895,0.000041503077,0.0014635243,0.00002076894,0.000047684778,0.0000010676122,0.0001352063,0.00062473613,0.0030120725,0.9660615,0.028077599,0.00014214119],"about_ca_topic_score_codex":0.000013536165,"about_ca_topic_score_gemma":0.0000022123988,"teacher_disagreement_score":0.05820595,"about_ca_system_score_codex":0.000024337356,"about_ca_system_score_gemma":0.00002598313,"threshold_uncertainty_score":0.48272768},"labels":[],"label_agreement":null},{"id":"W4409174401","doi":"10.1017/s0017089525000096","title":"A hyperbolic free-by-cyclic group determined by its finite quotients","year":2025,"lang":"en","type":"article","venue":"Glasgow Mathematical Journal","topic":"Geometric and Algebraic Topology","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":"Mathematics; Quotient; Pure mathematics; Group (periodic table); Cyclic group; Physics","score_opus":0.021181955355322853,"score_gpt":0.2856995494206841,"score_spread":0.26451759406536124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409174401","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63577765,0.0020378164,0.32530898,0.0052955574,0.0013676487,0.0008569166,0.000119366494,0.00034527035,0.028890813],"genre_scores_gemma":[0.95705193,0.00016392837,0.017212685,0.0015916458,0.00031532333,0.000059977916,0.000015074909,0.00009350357,0.023495944],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99692786,0.00020352824,0.0010846412,0.00036617505,0.0005958448,0.00082197937],"domain_scores_gemma":[0.996487,0.002085616,0.00034895935,0.0005756221,0.00012721842,0.00037555004],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00078414317,0.0003933226,0.000789757,0.0004115667,0.00030781128,0.00016794083,0.00093760854,0.00029213165,0.0015071777],"category_scores_gemma":[0.0055608037,0.00031294223,0.0002974247,0.00074730633,0.00016455118,0.00019588596,0.0002985149,0.0007411946,0.0003898686],"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":[0.000120528624,0.002897096,0.00072711124,0.00079360604,0.00061142154,0.00014781974,0.0006254563,0.0000015759032,0.0051103923,0.3016821,0.6696234,0.01765947],"study_design_scores_gemma":[0.0028106242,0.00021316975,0.000113125745,0.00028630547,0.00021520935,0.00045131307,0.00017421867,0.0007953214,0.0013438219,0.9756911,0.017478362,0.00042742645],"about_ca_topic_score_codex":0.0000022833622,"about_ca_topic_score_gemma":0.000001920465,"teacher_disagreement_score":0.67400897,"about_ca_system_score_codex":0.000106230975,"about_ca_system_score_gemma":0.0000721886,"threshold_uncertainty_score":0.9999323},"labels":[],"label_agreement":null},{"id":"W4409176380","doi":"10.4153/s0008439525000396","title":"3-manifold spine cyclic presentations with seldom seen Whitehead graphs","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; SPINE (molecular biology); Manifold (fluid mechanics); Pure mathematics","score_opus":0.016133714611064203,"score_gpt":0.27361723342711547,"score_spread":0.25748351881605125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409176380","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35316113,0.00028920517,0.03499886,0.08938726,0.00029152617,0.0019203578,0.0000691399,0.0004246758,0.5194579],"genre_scores_gemma":[0.938158,0.000006716068,0.014129505,0.001780778,0.000056404006,0.00012592853,0.000017493065,0.000046505676,0.04567869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824035,0.00007620774,0.00044495153,0.00036314208,0.000226471,0.00064890116],"domain_scores_gemma":[0.99815404,0.00062983413,0.000084836916,0.0005393355,0.00010706995,0.00048488914],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00028110156,0.00025990166,0.00044200133,0.0006423986,0.00020211663,0.000068461275,0.000351738,0.00017335225,0.011284806],"category_scores_gemma":[0.0010204196,0.00021339134,0.00010369089,0.00096007355,0.00016964381,0.000030274912,0.000048733415,0.00028222258,0.002231789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005017881,0.0000847275,0.00080247945,0.0001842761,0.00009531139,0.00005323903,0.00020342488,0.0000016656138,0.000006074567,0.8979779,0.100278884,0.00030702143],"study_design_scores_gemma":[0.000848505,0.000090152374,0.0024219856,0.0001769958,0.0001790025,0.00006922197,0.0007080854,0.00006350059,0.0000927498,0.9041945,0.09077836,0.00037698785],"about_ca_topic_score_codex":0.0010397119,"about_ca_topic_score_gemma":0.004198766,"teacher_disagreement_score":0.5849969,"about_ca_system_score_codex":0.00008797117,"about_ca_system_score_gemma":0.00028833307,"threshold_uncertainty_score":0.9985451},"labels":[],"label_agreement":null},{"id":"W4409262709","doi":"10.1093/imrn/rnaf083","title":"On the Automorphism Groups of Hyperbolic Manifolds","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","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 Victoria","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Hyperbolic 3-manifold; Automorphism group; Relatively hyperbolic group; Hyperbolic manifold; Mathematical analysis; Hyperbolic function","score_opus":0.14336297970935036,"score_gpt":0.43515618331492406,"score_spread":0.2917932036055737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409262709","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77043015,0.00008495095,0.0030187704,0.012696956,0.00055303297,0.0004668626,0.000018926925,0.000060291102,0.21267004],"genre_scores_gemma":[0.987715,0.000021700767,0.0036766864,0.00016823573,0.000071890805,0.000051210172,0.000002171243,0.000015242045,0.0082778465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778366,0.00016825262,0.00046625943,0.00020825428,0.0010744652,0.0002991275],"domain_scores_gemma":[0.98730034,0.011544279,0.00016313212,0.00047953866,0.00047095824,0.000041783285],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0023125205,0.00012954073,0.00024729452,0.00074321066,0.00014528322,0.000066382636,0.0011666949,0.00009262528,0.0011214584],"category_scores_gemma":[0.008147697,0.00008340605,0.000101896534,0.0006807073,0.0003490125,0.000065551016,0.00031790812,0.00038973344,0.00016334844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013645946,0.0003953256,0.00007987959,0.00012789488,0.00014398743,0.0000057572347,0.0004013112,0.00000813348,0.00019956741,0.9863428,0.011816172,0.00046556653],"study_design_scores_gemma":[0.00024232993,0.00006600747,0.00044971524,0.00018890025,0.000016695283,0.0000040994737,0.0008516337,0.0030358187,0.0017415263,0.99113554,0.0021962116,0.00007153471],"about_ca_topic_score_codex":0.000030816238,"about_ca_topic_score_gemma":0.000013761061,"teacher_disagreement_score":0.21728484,"about_ca_system_score_codex":0.00007570601,"about_ca_system_score_gemma":0.000085198095,"threshold_uncertainty_score":0.9997916},"labels":[],"label_agreement":null},{"id":"W4409284455","doi":"10.1016/j.aim.2025.110254","title":"Roots of Alexander polynomials of random positive 3-braids","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; Ministry of Colleges and Universities; National Science Foundation","keywords":"Mathematics; Braid; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.013871752303062026,"score_gpt":0.33161960302371946,"score_spread":0.3177478507206574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409284455","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6370822,0.008165171,0.20260249,0.00036438546,0.0005890016,0.0011580577,0.00004948745,0.000068061825,0.1499211],"genre_scores_gemma":[0.93692166,0.0002949607,0.060566317,0.000036839923,0.000016872587,0.00001760503,0.0000018816653,0.000014576849,0.002129284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984994,0.00007114957,0.00086401583,0.00016562737,0.00018695991,0.00021282487],"domain_scores_gemma":[0.9959038,0.0032211833,0.0004098059,0.0003386504,0.00010136025,0.000025204614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005769229,0.00015684363,0.0007810956,0.00043054068,0.00002231841,0.00000373742,0.00026281909,0.000105704574,0.00017923048],"category_scores_gemma":[0.0019736753,0.00013237225,0.000114932634,0.0007700048,0.00021583351,0.00011912452,0.00009068799,0.00011350834,0.0000031748914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009618898,0.0007833929,0.003034434,0.0018083951,0.00013075132,0.0000058465507,0.0011616437,0.00009290426,0.0010822089,0.98219496,0.00042442704,0.009184826],"study_design_scores_gemma":[0.0021023313,0.000070362184,0.0012024917,0.00047175892,0.00007519477,0.000005493956,0.0010216305,0.00019536317,0.014807275,0.97964466,0.00026877254,0.00013469844],"about_ca_topic_score_codex":0.0000070323326,"about_ca_topic_score_gemma":0.00001571935,"teacher_disagreement_score":0.29983944,"about_ca_system_score_codex":0.000026203958,"about_ca_system_score_gemma":0.000053675005,"threshold_uncertainty_score":0.5397984},"labels":[],"label_agreement":null},{"id":"W4409786522","doi":"10.1007/s11784-025-01188-1","title":"Contact non-squeezing at large scale via generating functions","year":2025,"lang":"en","type":"article","venue":"Journal of Fixed Point Theory and Applications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Scale (ratio); Pure mathematics; Physics; Quantum mechanics","score_opus":0.009619708575197559,"score_gpt":0.2799156334072735,"score_spread":0.27029592483207593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409786522","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18058713,0.00040522858,0.8136089,0.000663601,0.0001157029,0.00017441218,0.000010476406,0.000016475598,0.0044180616],"genre_scores_gemma":[0.9853397,0.000050504023,0.008936046,0.0004285473,0.0002578146,0.000036383393,0.0000036456074,0.000010715182,0.004936654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911565,0.00009738169,0.00043325487,0.00011475775,0.000079176956,0.00015978637],"domain_scores_gemma":[0.9983876,0.00096524076,0.0002833541,0.00017324429,0.00011647016,0.000074104515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001094358,0.00009767245,0.00023463818,0.00021414443,0.0004260836,0.000023084722,0.000113797025,0.00007315523,0.00020287719],"category_scores_gemma":[0.00018212417,0.00008000369,0.00010210404,0.00031527597,0.000049793573,0.00008040005,0.00006906054,0.00021482016,0.000014881097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006342939,0.00023536757,0.0010584181,0.00005790078,0.00014829868,0.0000028776576,0.0004985128,0.000021456593,0.011615796,0.9686646,0.0061167614,0.011516589],"study_design_scores_gemma":[0.0015267786,0.00012593038,0.0018113801,0.00009914215,0.0003098721,0.0002583049,0.0026015046,0.00060727,0.0035394253,0.9402076,0.04869869,0.00021407806],"about_ca_topic_score_codex":0.0000010275483,"about_ca_topic_score_gemma":0.000006838759,"teacher_disagreement_score":0.8047526,"about_ca_system_score_codex":0.0000442584,"about_ca_system_score_gemma":0.000042496067,"threshold_uncertainty_score":0.32771337},"labels":[],"label_agreement":null},{"id":"W4409812478","doi":"10.1016/j.aim.2025.110287","title":"Two curious strongly invertible L-space knots","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","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; Canada Research Chairs; California Department of Fish and Game; Simons Foundation","keywords":"Mathematics; Invertible matrix; Pure mathematics; Space (punctuation)","score_opus":0.01789924056951151,"score_gpt":0.3472755337570726,"score_spread":0.32937629318756106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409812478","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31756166,0.013428653,0.19403227,0.002235132,0.0019026673,0.0014705138,0.000017183598,0.00062237325,0.4687296],"genre_scores_gemma":[0.7562957,0.00074606034,0.23051043,0.00025589162,0.00008224851,0.00008113648,0.0000034885047,0.000048054408,0.011976984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984501,0.00005201306,0.0005446076,0.00028721528,0.0002226352,0.00044342756],"domain_scores_gemma":[0.9979755,0.0012178833,0.00017658403,0.0005235738,0.000051035182,0.00005540747],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037695374,0.00022951727,0.00047927492,0.00043046506,0.000075216565,0.00002458727,0.00039096875,0.00009770018,0.00020110578],"category_scores_gemma":[0.0011579259,0.0002065485,0.00007843845,0.0009426825,0.00014113527,0.00022592378,0.00015611474,0.000265113,0.000090686146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060796187,0.00029034005,0.0013151475,0.0004309709,0.000021666408,0.000016287728,0.0005100451,0.00013009744,0.000028923923,0.9907072,0.0011905987,0.0053526075],"study_design_scores_gemma":[0.00081867154,0.000033138123,0.00011880788,0.00017566464,0.000030657695,0.000011422724,0.0009713767,0.0014060568,0.00037992446,0.9841347,0.01172111,0.00019846948],"about_ca_topic_score_codex":0.000010873115,"about_ca_topic_score_gemma":0.00010764802,"teacher_disagreement_score":0.4567526,"about_ca_system_score_codex":0.00008656123,"about_ca_system_score_gemma":0.00006995684,"threshold_uncertainty_score":0.8422803},"labels":[],"label_agreement":null},{"id":"W4410061316","doi":"10.1007/s10711-025-01009-2","title":"A saturated 1-system of curves on the surface of genus 3","year":2025,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","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":"Algebraic geometry; Hyperbolic geometry; Genus; Mathematics; Differential geometry; Projective geometry; Surface (topology); Geometry; Zoology; Biology","score_opus":0.039881199856743,"score_gpt":0.3008591918610629,"score_spread":0.2609779920043199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410061316","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9739137,0.0042177816,0.0016499353,0.0038203911,0.00054869876,0.00060681487,0.00014503245,0.00007447383,0.015023131],"genre_scores_gemma":[0.9982629,0.00015734113,0.00045034575,0.00018466645,0.000025891224,0.000007743736,0.000015928686,0.000010250842,0.00088494795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9983765,0.00016953328,0.0006089897,0.00022217545,0.00037959425,0.00024323963],"domain_scores_gemma":[0.9948443,0.0036990058,0.0004024273,0.0008297344,0.000178606,0.000045935143],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014216758,0.00014713549,0.00051394384,0.00059877895,0.000058262605,0.000005411187,0.0006517444,0.00012704374,0.00029338553],"category_scores_gemma":[0.006286851,0.000093746006,0.0001282023,0.004575486,0.0002062062,0.000023984216,0.00015398636,0.00020398664,0.000024358504],"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":[0.00016607437,0.00057897414,0.0046328423,0.0037940468,0.0008396053,0.000011037536,0.00023886704,0.0000109375305,0.0015902048,0.70493424,0.2779936,0.0052095624],"study_design_scores_gemma":[0.019732362,0.0035580527,0.11150077,0.020404229,0.0040958514,0.00015606737,0.015667548,0.0013843852,0.48816144,0.20939173,0.122783616,0.0031639535],"about_ca_topic_score_codex":0.000084318366,"about_ca_topic_score_gemma":0.000004236547,"teacher_disagreement_score":0.49554253,"about_ca_system_score_codex":0.000031016956,"about_ca_system_score_gemma":0.00011188895,"threshold_uncertainty_score":0.7526402},"labels":[],"label_agreement":null},{"id":"W4410438793","doi":"10.1016/j.aim.2025.110345","title":"Shifted coisotropic structures for differentiable stacks","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Differentiable function; Pure mathematics; Submersion (mathematics); Algebra over a field","score_opus":0.019542736100885798,"score_gpt":0.34396042787714426,"score_spread":0.32441769177625845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410438793","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29816175,0.0035432193,0.6709268,0.00040564386,0.0008374352,0.001411404,0.000038003076,0.00021772653,0.024457982],"genre_scores_gemma":[0.63598776,0.00031409774,0.3532092,0.00016033223,0.00007011955,0.0001939399,0.000013108596,0.000040407427,0.010011055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987706,0.000026613317,0.00047814718,0.0002348856,0.00013734943,0.00035241587],"domain_scores_gemma":[0.997856,0.0015361396,0.00015277768,0.00036076285,0.00006130414,0.000033013002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017356363,0.0001884747,0.00044596827,0.00030118367,0.0000783832,0.000023698023,0.00030082697,0.000112976486,0.00016711236],"category_scores_gemma":[0.0012094701,0.0001572262,0.000079865866,0.00051015744,0.00009257965,0.00011909167,0.00007689089,0.00014383411,0.0000052644964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010628855,0.0001493621,0.00083254586,0.00088311237,0.000027880063,0.0000017486983,0.00023791478,0.000018196464,0.000020108704,0.9932376,0.0010376024,0.0035433033],"study_design_scores_gemma":[0.0007833324,0.000037721187,0.00040412197,0.00009169561,0.000040061168,0.0000021563562,0.000516324,0.000713867,0.00042022724,0.98723894,0.009607846,0.00014368817],"about_ca_topic_score_codex":0.0000027344663,"about_ca_topic_score_gemma":0.000042165295,"teacher_disagreement_score":0.33782598,"about_ca_system_score_codex":0.00004978725,"about_ca_system_score_gemma":0.000035906007,"threshold_uncertainty_score":0.6411498},"labels":[],"label_agreement":null},{"id":"W4410477360","doi":"10.1007/s10711-025-01013-6","title":"On the rigidity of translated points","year":2025,"lang":"en","type":"article","venue":"Geometriae Dedicata","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Courtois Foundation; Université Paris-Saclay; Université de Montréal; Agence Nationale de la Recherche","keywords":"Algebraic geometry; Hyperbolic geometry; Differential geometry; Rigidity (electromagnetism); Projective geometry; Mathematics; Pure mathematics; Topology (electrical circuits); Geometry; Combinatorics; Engineering; Structural engineering","score_opus":0.04606252726576558,"score_gpt":0.3231987036801978,"score_spread":0.2771361764144322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410477360","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9466576,0.00047446444,0.011106672,0.013673038,0.0006372231,0.00048816236,0.00007709072,0.00009340202,0.026792338],"genre_scores_gemma":[0.99772894,0.000026497431,0.000546626,0.00057580264,0.00003351279,0.000012534787,0.000013469969,0.000009395469,0.0010531932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862325,0.00012462259,0.0004261793,0.00023860553,0.000314744,0.00027258636],"domain_scores_gemma":[0.9945702,0.004409282,0.00015710924,0.000733489,0.00007556017,0.00005436925],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012944659,0.00014012207,0.00034068472,0.0008879843,0.00009650061,0.000009915012,0.0006225037,0.00014378615,0.001836061],"category_scores_gemma":[0.0076506888,0.00008914334,0.00013332945,0.0037039472,0.00021089977,0.000027939554,0.00007903069,0.0002653153,0.00008040718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006731303,0.0003724656,0.0007332618,0.000090122965,0.00023033681,0.000004460091,0.000148026,7.427641e-7,0.00013426732,0.82710123,0.16197893,0.009138853],"study_design_scores_gemma":[0.0012578797,0.00013236701,0.0043968796,0.00007599063,0.000119888566,0.0000037165878,0.00010675398,0.00003470479,0.0076273447,0.97065,0.015448996,0.00014545367],"about_ca_topic_score_codex":0.00003902092,"about_ca_topic_score_gemma":0.000006424872,"teacher_disagreement_score":0.14652994,"about_ca_system_score_codex":0.000020350217,"about_ca_system_score_gemma":0.00007684862,"threshold_uncertainty_score":0.99907637},"labels":[],"label_agreement":null},{"id":"W4410572218","doi":"10.2140/agt.2025.25.791","title":"Circular-orderability of 3-manifoldgroups","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Manifold (fluid mechanics); 3-manifold; Combinatorics; Topology (electrical circuits)","score_opus":0.023335656252459865,"score_gpt":0.3101011981593659,"score_spread":0.286765541906906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410572218","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91946375,0.0026116911,0.04129903,0.0023750376,0.0015632712,0.00059872534,0.000017051427,0.00023351316,0.031837907],"genre_scores_gemma":[0.9929861,0.00007772455,0.0032542872,0.0005487067,0.000086975655,0.00004549501,0.000009954338,0.000029082805,0.0029616882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99662113,0.0003166391,0.0011491714,0.0007416771,0.00035501324,0.0008163392],"domain_scores_gemma":[0.99433476,0.0036414764,0.00040436134,0.0011845737,0.00029891435,0.00013590464],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012550224,0.00037513507,0.0011068678,0.0031560173,0.00016444945,0.00001613216,0.000801577,0.000495653,0.0023370807],"category_scores_gemma":[0.007354561,0.00035548664,0.0003480697,0.0076012523,0.0006943526,0.000103526974,0.0003835326,0.00043750895,0.00008472151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036335292,0.0005738205,0.033234835,0.00030072045,0.0003283827,0.000017079163,0.00012517597,0.0000022128504,0.00020896763,0.9389792,0.005804996,0.02038829],"study_design_scores_gemma":[0.0014144932,0.00029244975,0.059807733,0.000022790733,0.00020405558,0.00005317045,0.00039556227,0.000020484926,0.0021384105,0.9264017,0.008884563,0.000364639],"about_ca_topic_score_codex":0.00029932303,"about_ca_topic_score_gemma":0.00003899641,"teacher_disagreement_score":0.073522314,"about_ca_system_score_codex":0.00011870099,"about_ca_system_score_gemma":0.00022485958,"threshold_uncertainty_score":0.99988973},"labels":[],"label_agreement":null},{"id":"W4410892446","doi":"10.1112/jlms.70178","title":"Cyclic branched covers of Seifert links and properties related to the ADE$ADE$ link conjecture","year":2025,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Link (geometry); Conjecture; Mathematics; Combinatorics","score_opus":0.018351508844139715,"score_gpt":0.27595562337963986,"score_spread":0.25760411453550014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410892446","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9193411,0.0012186193,0.006221266,0.07143165,0.0003483921,0.0005331156,0.000004535942,0.00002152498,0.00087980874],"genre_scores_gemma":[0.9906914,0.00010518147,0.00424084,0.0017977187,0.000084869476,0.0000051216907,1.4473251e-7,0.000018198107,0.003056479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981511,0.00017301289,0.0008798935,0.00013746243,0.00040684117,0.00025163786],"domain_scores_gemma":[0.99755573,0.0013089968,0.0005085449,0.0003717625,0.00016628721,0.00008864866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012443772,0.00019119284,0.00063552376,0.00006243169,0.00017033862,0.00003624169,0.0005601962,0.00036337177,0.000088912326],"category_scores_gemma":[0.002579271,0.00008639488,0.0005159657,0.00063881074,0.00033405784,0.000058001817,0.00024334056,0.0010492112,0.000006762859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062100415,0.0016633591,0.0041371565,0.0057488247,0.006229185,0.000020983465,0.06702656,0.00072666706,0.030594151,0.6502875,0.21930663,0.013637961],"study_design_scores_gemma":[0.0022264004,0.0002811973,0.0018989344,0.0010712033,0.0006906924,0.00025554202,0.003104964,0.0010048198,0.009652882,0.9739551,0.00560456,0.000253716],"about_ca_topic_score_codex":0.000002249898,"about_ca_topic_score_gemma":0.000001035923,"teacher_disagreement_score":0.3236676,"about_ca_system_score_codex":0.000055767876,"about_ca_system_score_gemma":0.00011145424,"threshold_uncertainty_score":0.45583594},"labels":[],"label_agreement":null},{"id":"W4411333945","doi":"10.7169/facm/241106-7-4","title":"ON THE MINIMAL LENGTH OF ADDITION CHAINS","year":2025,"lang":"en","type":"article","venue":"Functiones et Approximatio Commentarii Mathematici","topic":"Geometric and Algebraic Topology","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; Université Laval","funders":"","keywords":"Chemistry; Mathematics","score_opus":0.05355791963648284,"score_gpt":0.3179740892006587,"score_spread":0.2644161695641759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411333945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49787024,0.00007627146,0.32167485,0.04334135,0.0010292872,0.0023271227,0.000106981795,0.00033760822,0.13323629],"genre_scores_gemma":[0.9799381,0.000008462246,0.01126943,0.0032942346,0.000050940867,0.00033072344,0.00005743179,0.000029000677,0.0050216694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983754,0.0001925546,0.0006390154,0.00023080314,0.000323646,0.00023859189],"domain_scores_gemma":[0.9946389,0.0042765536,0.00036625113,0.00058316416,0.00010183772,0.00003326361],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00087614,0.0002313171,0.0004010854,0.00032271998,0.000217792,0.000031652056,0.00029840894,0.000099126206,0.0020003696],"category_scores_gemma":[0.0012095014,0.00015674715,0.00014961562,0.000635968,0.00014325426,0.00009873615,0.00011370512,0.00024389673,0.00006416181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034498848,0.000538941,0.00003388468,0.00023427402,0.00014810734,3.7355434e-7,0.0008798982,0.000006220079,0.000054581356,0.9014295,0.09589357,0.00074615143],"study_design_scores_gemma":[0.0007722641,0.00019350206,0.0002635883,0.0002109967,0.00013994421,0.0000069298935,0.003073195,0.0020193567,0.0020178836,0.9880615,0.003065299,0.00017555017],"about_ca_topic_score_codex":0.000020673102,"about_ca_topic_score_gemma":0.00001826119,"teacher_disagreement_score":0.48206788,"about_ca_system_score_codex":0.00007363636,"about_ca_system_score_gemma":0.000048585352,"threshold_uncertainty_score":0.9989119},"labels":[],"label_agreement":null},{"id":"W4411520296","doi":"10.1142/s1793525325500219","title":"Elasticity of free type III actions of free groups","year":2025,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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; Elasticity (physics); Pure mathematics; Type (biology); Composite material; Materials science","score_opus":0.02671973729876518,"score_gpt":0.31853348721524166,"score_spread":0.29181374991647646,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411520296","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9660791,0.00063605985,0.029540317,0.0014544235,0.00023098,0.00002507511,0.00001083978,0.000003864624,0.0020193355],"genre_scores_gemma":[0.99584883,0.00016615928,0.003121345,0.000045691868,0.000040261326,2.729486e-7,6.597131e-7,0.0000025732597,0.0007742029],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899536,0.000085977386,0.0006095796,0.00008539361,0.00011030765,0.00011335261],"domain_scores_gemma":[0.99802136,0.0008020689,0.00060164684,0.00026300078,0.00026969716,0.000042220756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003932658,0.00008038609,0.0006877438,0.0010363957,0.00005573245,0.0000028457418,0.00026755308,0.00013602758,0.00043670204],"category_scores_gemma":[0.0018171069,0.000062259234,0.00026283695,0.0012964291,0.0002658959,0.000045261884,0.00010693007,0.00019865154,3.8509347e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040061225,0.00092745933,0.19180422,0.00023948423,0.014862059,0.000031338972,0.00071739027,0.00017516919,0.0026658478,0.7713677,0.014161365,0.0026473508],"study_design_scores_gemma":[0.0018800215,0.00054771634,0.108845204,0.000044829423,0.009428533,0.00005769946,0.0016289734,0.00023713266,0.0032784208,0.87340623,0.00051104114,0.00013422097],"about_ca_topic_score_codex":0.000065833374,"about_ca_topic_score_gemma":0.00012287006,"teacher_disagreement_score":0.102038495,"about_ca_system_score_codex":0.000012520467,"about_ca_system_score_gemma":0.000058516387,"threshold_uncertainty_score":0.47815812},"labels":[],"label_agreement":null},{"id":"W4411576124","doi":"10.4153/s0008439525100787","title":"Steiner Coset Partitions of Groups","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","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; Coset; Combinatorics","score_opus":0.021878377277278413,"score_gpt":0.2813415220160205,"score_spread":0.25946314473874205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411576124","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44509605,0.00025346014,0.021671716,0.035958223,0.00032876132,0.0007838347,0.00015749394,0.00013863445,0.49561185],"genre_scores_gemma":[0.98054224,0.0000035275302,0.0040586772,0.00081423274,0.000030585674,0.000036473484,0.0000075846233,0.00001472499,0.014491976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988636,0.000054359356,0.00041865752,0.00017352228,0.00012414307,0.00036575404],"domain_scores_gemma":[0.9984288,0.0007995592,0.00006787297,0.0003660515,0.00008238724,0.0002552933],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00030852755,0.00012979028,0.0003484377,0.0003615095,0.00008097985,0.000013703971,0.0002231917,0.00012832558,0.023203578],"category_scores_gemma":[0.0019180703,0.00011608823,0.00009888477,0.0004582525,0.00019088044,0.000011751313,0.00003842292,0.00014241885,0.0020629456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000017450585,0.000058993945,0.00007577688,0.00014412077,0.000030900002,0.000008746651,0.000059323265,4.6712515e-7,0.000011008777,0.8404471,0.15884703,0.00031473377],"study_design_scores_gemma":[0.0002514574,0.000026962143,0.00021201218,0.000088272434,0.000051778185,0.000008755759,0.00021724681,0.000022658462,0.00016123765,0.9207711,0.07807698,0.00011154821],"about_ca_topic_score_codex":0.00030642262,"about_ca_topic_score_gemma":0.000898981,"teacher_disagreement_score":0.53544617,"about_ca_system_score_codex":0.00006954079,"about_ca_system_score_gemma":0.00018924077,"threshold_uncertainty_score":0.9987141},"labels":[],"label_agreement":null},{"id":"W4411625084","doi":"10.2140/agt.2025.25.1501","title":"Bridge trisections and Seifert solids","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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","keywords":"Mathematics; Bridge (graph theory); Structural engineering; Engineering; Biology; Anatomy","score_opus":0.031005709410330488,"score_gpt":0.32243913349896897,"score_spread":0.2914334240886385,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411625084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88952523,0.003911258,0.04708452,0.011257592,0.0021544034,0.0007257508,0.000028814407,0.0005458084,0.044766635],"genre_scores_gemma":[0.9763899,0.00025187046,0.0017588646,0.0018715889,0.00016316366,0.00006973316,0.000009197958,0.00003265888,0.019453032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99736863,0.00019162147,0.00067142467,0.0007128046,0.0002189073,0.00083663623],"domain_scores_gemma":[0.9963389,0.002509285,0.00017709658,0.00064604264,0.00013591886,0.00019276259],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00059215433,0.00036629848,0.00079491606,0.0036680074,0.0003843959,0.000046988695,0.00041142156,0.0004488673,0.001234868],"category_scores_gemma":[0.0033778176,0.00034750003,0.00016362412,0.006185962,0.0005557794,0.00012032881,0.0003607497,0.0005013126,0.000112212794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040314797,0.00033226458,0.012580965,0.000117120064,0.00042155452,0.000040338426,0.00021516273,9.762313e-7,0.00005168549,0.8853285,0.06256003,0.03831111],"study_design_scores_gemma":[0.0021583242,0.00038135392,0.12216548,0.00001242105,0.0005418564,0.00034165615,0.0003747356,0.000035374414,0.00042825507,0.8250433,0.047956366,0.00056083116],"about_ca_topic_score_codex":0.00026376714,"about_ca_topic_score_gemma":0.00006948004,"teacher_disagreement_score":0.10958452,"about_ca_system_score_codex":0.00009679014,"about_ca_system_score_gemma":0.00015620311,"threshold_uncertainty_score":0.9998977},"labels":[],"label_agreement":null},{"id":"W4411625091","doi":"10.2140/agt.2025.25.1897","title":"Fibered 3-manifolds and Veech groups","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Western University; University of British Columbia; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Fibered knot; Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.01917284386996626,"score_gpt":0.29097643081915786,"score_spread":0.2718035869491916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411625091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.942182,0.0047907466,0.012389545,0.0054152333,0.0017568762,0.0005607628,0.000017366452,0.0004028078,0.032484658],"genre_scores_gemma":[0.98301053,0.0002688385,0.0035137436,0.0014018707,0.00016959605,0.00005150487,0.000014026433,0.000038196693,0.011531667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970195,0.0002132628,0.00074256264,0.00081902393,0.00026860196,0.00093704055],"domain_scores_gemma":[0.99550176,0.0031812158,0.00022266351,0.0007659692,0.00013322504,0.00019514756],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007699024,0.00042060905,0.0008620968,0.0033358452,0.0002917816,0.000050868995,0.00055182585,0.0005478497,0.0013722854],"category_scores_gemma":[0.0034436625,0.0003961815,0.00016393482,0.00569395,0.0005249122,0.00012868215,0.0005047257,0.00047049945,0.0001404483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032093794,0.00019218437,0.007750227,0.00009978452,0.00024101486,0.000048994643,0.00015613253,3.6996622e-7,0.00006623385,0.92645895,0.022036452,0.042917576],"study_design_scores_gemma":[0.0018404721,0.00034163494,0.03773819,0.0000247706,0.00021347482,0.00020860169,0.0004481886,0.000025491287,0.0005250436,0.9350274,0.02311179,0.0004949209],"about_ca_topic_score_codex":0.00018624646,"about_ca_topic_score_gemma":0.000059460966,"teacher_disagreement_score":0.042422656,"about_ca_system_score_codex":0.00009616076,"about_ca_system_score_gemma":0.00011921192,"threshold_uncertainty_score":0.999849},"labels":[],"label_agreement":null},{"id":"W4412301952","doi":"","title":"Zhang, Xi. Some invariants in Sasakian geometry. Int. Math. Res. Not. IMRN 2011, no. 15, 3335--3367","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"INT; Zhàng; Geometry; Mathematics; Physics; Computer science; Geography; Programming language; China","score_opus":0.047526588295363624,"score_gpt":0.2988578009550693,"score_spread":0.2513312126597057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412301952","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9405641,0.0010769397,0.0012456455,0.002133387,0.0023629214,0.0006423042,0.000033865406,0.0003235813,0.051617235],"genre_scores_gemma":[0.9426137,0.00017438152,0.010676648,0.0018122374,0.00090655294,0.000047399688,0.000017924,0.00008440591,0.043666705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969052,0.00014341045,0.0007838121,0.0004551415,0.0004603001,0.0012521074],"domain_scores_gemma":[0.99775875,0.00071780686,0.0002452248,0.0008191147,0.000105008345,0.0003540812],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0013718801,0.00038833244,0.00068526703,0.0011231758,0.000104309875,0.000048097514,0.00054981094,0.0004330017,0.010138516],"category_scores_gemma":[0.0017208147,0.000327014,0.00014846916,0.00091372157,0.00014375633,0.00058808475,0.00040560807,0.000500376,0.01009402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061244,0.0015521501,0.034118056,0.0002635043,0.0001516556,0.00006232819,0.0015304573,7.867496e-7,0.00059960125,0.6883643,0.26876786,0.0045280377],"study_design_scores_gemma":[0.009122154,0.00081319606,0.25568613,0.00025666013,0.00029489654,0.00036875016,0.0039300206,0.0004644813,0.0062007247,0.44909552,0.26985654,0.003910904],"about_ca_topic_score_codex":0.0006055578,"about_ca_topic_score_gemma":0.00016107039,"teacher_disagreement_score":0.2392688,"about_ca_system_score_codex":0.0001322076,"about_ca_system_score_gemma":0.00007427223,"threshold_uncertainty_score":0.99991816},"labels":[],"label_agreement":null},{"id":"W4412323298","doi":"","title":"Goette, Sebastian. Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds. J. Eur. Math. Soc. (JEMS) 16 (2014), no. 12, 2499--2555.","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Diffeomorphism; Mathematics; Pure mathematics; Type (biology); Dedekind cut; Adiabatic process; Physics; Biology; Thermodynamics","score_opus":0.0649336598019588,"score_gpt":0.2864766260559698,"score_spread":0.221542966254011,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412323298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9372643,0.0028974593,0.009556975,0.004997416,0.00094895496,0.0015192818,0.000083608305,0.00016213942,0.04256982],"genre_scores_gemma":[0.9801178,0.0001657108,0.0039039443,0.00037641235,0.00012469268,0.000016792425,0.000025211728,0.000042335185,0.015227079],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99800813,0.00023644739,0.00071396655,0.00029680348,0.0003908283,0.00035381463],"domain_scores_gemma":[0.9966064,0.0018667871,0.00040143236,0.00057225826,0.0003837949,0.00016928872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087329646,0.00027153693,0.00069164875,0.00022610699,0.00008911015,0.00002743614,0.0003220371,0.00019949816,0.0005964244],"category_scores_gemma":[0.0025740152,0.00017668703,0.00010512812,0.00038709154,0.0004298803,0.00011773882,0.00015148388,0.00018862475,0.00014271312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00037780555,0.00064686715,0.007830152,0.00067302375,0.00050988427,0.000015392847,0.0030609972,0.000018852945,0.0006510834,0.51227367,0.47160017,0.0023420844],"study_design_scores_gemma":[0.033448808,0.004284354,0.027318005,0.0006699045,0.0025590805,0.0005983342,0.014557102,0.017691359,0.011066209,0.8174511,0.0669606,0.0033951057],"about_ca_topic_score_codex":0.00035666168,"about_ca_topic_score_gemma":0.00020845963,"teacher_disagreement_score":0.40463957,"about_ca_system_score_codex":0.00003658427,"about_ca_system_score_gemma":0.0001734612,"threshold_uncertainty_score":0.7205088},"labels":[],"label_agreement":null},{"id":"W4412325945","doi":"","title":"Kovalev, Alexei; Nordström, Johannes. Asymptotically cylindrical 7-manifolds of holonomy G2 with applications to compact irreducible G2-manifolds. Ann. Global Anal. Geom. 38 (2010), no. 3, 221--257.","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Holonomy; Pure mathematics; Mathematics; Algebra over a field","score_opus":0.040021462939344055,"score_gpt":0.30912722934750536,"score_spread":0.2691057664081613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412325945","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48833787,0.00040382324,0.23853016,0.0035409848,0.00081366,0.0031576762,0.00034597848,0.0006383064,0.26423153],"genre_scores_gemma":[0.9377205,0.00001322042,0.055631615,0.0003570564,0.00044812635,0.000098673474,0.000046481582,0.00006394271,0.0056204363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99601156,0.000115208575,0.0010523867,0.0007678453,0.00070452876,0.0013484666],"domain_scores_gemma":[0.9961679,0.0005978542,0.00038385796,0.0013330992,0.00057695725,0.000940319],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007404969,0.00058645016,0.0010591976,0.00040775834,0.00020111754,0.00006339387,0.0008495708,0.0003878222,0.0020471695],"category_scores_gemma":[0.00041130587,0.00047101223,0.00026123595,0.001967497,0.0003157656,0.00030617233,0.0002626733,0.0003595995,0.0017262519],"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":[0.0004192943,0.008680821,0.2144198,0.00056141714,0.0011008546,0.00002690521,0.0006967889,0.00014458936,0.00033127455,0.62915903,0.14161506,0.0028441881],"study_design_scores_gemma":[0.0070827277,0.0048997933,0.7425751,0.0002683746,0.0016560645,0.0009791931,0.002598084,0.000756411,0.0024493574,0.059016816,0.17326856,0.0044495095],"about_ca_topic_score_codex":0.00038325193,"about_ca_topic_score_gemma":0.00014203947,"teacher_disagreement_score":0.5701422,"about_ca_system_score_codex":0.00018897574,"about_ca_system_score_gemma":0.00024626547,"threshold_uncertainty_score":0.99977416},"labels":[],"label_agreement":null},{"id":"W4412332820","doi":"","title":"Conti, Diego; Fernández, Marisa; Santisteban, José A. On seven-dimensional quaternionic contact solvable Lie groups. Forum Math. 26 (2014), no. 2, 547--576.","year":2014,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Lie group; Mathematics; Pure mathematics; Humanities; Art","score_opus":0.018720666186271495,"score_gpt":0.2619408096588587,"score_spread":0.2432201434725872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412332820","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8585753,0.0003792341,0.024318852,0.0037944259,0.0042606764,0.0013123929,0.000059495247,0.0012326945,0.10606692],"genre_scores_gemma":[0.946046,0.000029643876,0.005270607,0.002261385,0.00039705547,0.000044591052,0.000041900115,0.00012590263,0.045782913],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99629754,0.00021400499,0.0008676517,0.00080766034,0.00065971323,0.001153437],"domain_scores_gemma":[0.9963352,0.0017711063,0.0003846001,0.0009635275,0.00023633902,0.0003092106],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009377443,0.00057539466,0.000986,0.00033134807,0.00032414563,0.00010952563,0.0004888037,0.00042612912,0.005472395],"category_scores_gemma":[0.0009590885,0.00045585452,0.0003213898,0.00027038972,0.00014095704,0.0001936782,0.0003215825,0.0005073798,0.010365292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014893766,0.0005424566,0.0026101,0.00010786246,0.00017150246,0.000028607798,0.0000690335,0.000006132283,0.00041137598,0.62705743,0.36722955,0.0016170406],"study_design_scores_gemma":[0.010232001,0.0037642934,0.014691271,0.00033134385,0.00034888514,0.00035566193,0.00077996275,0.0073391288,0.0031634585,0.58901775,0.36715767,0.0028185965],"about_ca_topic_score_codex":0.0004569718,"about_ca_topic_score_gemma":0.00039623308,"teacher_disagreement_score":0.08747069,"about_ca_system_score_codex":0.00014227361,"about_ca_system_score_gemma":0.00010477764,"threshold_uncertainty_score":0.9997893},"labels":[],"label_agreement":null},{"id":"W4412739678","doi":"10.1016/j.aim.2025.110455","title":"Doubles of Gluck twists: A five-dimensional approach","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Geometric and Algebraic Topology","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; Princeton University; National Sleep Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Algebra over a field","score_opus":0.01876147590813738,"score_gpt":0.32496704933694626,"score_spread":0.3062055734288089,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412739678","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5648121,0.011850906,0.1507848,0.0004638705,0.00078918826,0.0012881326,0.000030855223,0.00022612838,0.269754],"genre_scores_gemma":[0.5528316,0.00019677219,0.44235852,0.00007636212,0.000028259068,0.00004906465,0.0000052960595,0.000021009266,0.004433116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99864,0.00003845373,0.0006240813,0.00022094375,0.00022793518,0.00024860151],"domain_scores_gemma":[0.9980201,0.0012619811,0.00022920153,0.00038159336,0.00007719331,0.00002991838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040922823,0.00016787885,0.0005046747,0.00035773852,0.000029155908,0.0000069466973,0.00030088986,0.00010309098,0.00009615493],"category_scores_gemma":[0.0009135102,0.00014041217,0.00008306177,0.00083095283,0.0001935782,0.00011980584,0.00012814786,0.00015924987,0.000008867084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013269474,0.00063761603,0.00050746626,0.0012568191,0.00003177603,0.0000041652575,0.0007328751,0.00021995747,0.000035636498,0.9937766,0.00054123416,0.0022425887],"study_design_scores_gemma":[0.00065801817,0.00002785092,0.00011649363,0.00020351025,0.000029840645,0.000011636022,0.0010838497,0.0019157119,0.00045392243,0.9935447,0.0018220743,0.00013236959],"about_ca_topic_score_codex":0.0000054087172,"about_ca_topic_score_gemma":0.000008439347,"teacher_disagreement_score":0.2915737,"about_ca_system_score_codex":0.000038302103,"about_ca_system_score_gemma":0.000053409072,"threshold_uncertainty_score":0.5725842},"labels":[],"label_agreement":null},{"id":"W4412901847","doi":"10.4171/ggd/902","title":"Genericity of contracting geodesics in groups","year":2025,"lang":"en","type":"article","venue":"Groups Geometry and Dynamics","topic":"Geometric and Algebraic Topology","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; Geodesic; Pure mathematics; Algebra over a field; Geometry","score_opus":0.016005862115693652,"score_gpt":0.279720568700765,"score_spread":0.26371470658507135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412901847","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92560655,0.0004003616,0.06977148,0.00018948593,0.00022751218,0.00014873875,0.000016616785,0.000035516532,0.0036037473],"genre_scores_gemma":[0.995082,0.000094288545,0.0042724283,0.0001300697,0.000028773527,0.0000068427757,0.000010182357,0.000011124674,0.00036425487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998716,0.00006577953,0.0004951915,0.0002653939,0.00013401153,0.00032362546],"domain_scores_gemma":[0.9983285,0.0011312726,0.0001824708,0.00024718547,0.000058149573,0.000052426967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000652403,0.00016691019,0.00046187366,0.0006639827,0.000072326715,0.000016287517,0.00016558664,0.00019958259,0.000026441914],"category_scores_gemma":[0.0010143634,0.00016284619,0.00006659278,0.0015693211,0.00014144849,0.0000955485,0.00014375747,0.00028163363,0.00000136752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003695024,0.00021593554,0.1672557,0.00028394113,0.000057768186,0.000013127948,0.00014981294,0.00004721206,0.00006987083,0.8113256,0.00008033691,0.02046375],"study_design_scores_gemma":[0.0018180822,0.00012329868,0.14819533,0.00011065823,0.00010101486,0.000031520507,0.0020960118,0.02867644,0.00018475617,0.8181055,0.00016939647,0.00038798878],"about_ca_topic_score_codex":0.00010361778,"about_ca_topic_score_gemma":0.00018583199,"teacher_disagreement_score":0.0694755,"about_ca_system_score_codex":0.000069448026,"about_ca_system_score_gemma":0.000036678888,"threshold_uncertainty_score":0.6640675},"labels":[],"label_agreement":null},{"id":"W4413900150","doi":"10.2140/pjm.2025.339.191","title":"A remark on the Lewark–Zibrowiusinvariant","year":2025,"lang":"nl","type":"article","venue":"Pacific Journal of Mathematics","topic":"Geometric and Algebraic Topology","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; Invariant (physics); Pure mathematics; Mathematical physics","score_opus":0.030801188270493243,"score_gpt":0.2794598414553472,"score_spread":0.24865865318485394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413900150","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.106463626,0.010963574,0.15636113,0.11788109,0.011653407,0.0023421608,0.0000885937,0.00012663056,0.5941198],"genre_scores_gemma":[0.9380069,0.0014044103,0.018917583,0.00087136246,0.00068818487,0.000009957263,0.000001142347,0.00009200601,0.040008456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953117,0.00047964847,0.0023060592,0.00027763183,0.00096074573,0.0006642586],"domain_scores_gemma":[0.9887989,0.007810472,0.0015259415,0.0011171147,0.000566293,0.00018126394],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004861898,0.00052625575,0.0013052846,0.00068697234,0.00035478617,0.00019994694,0.0011977452,0.0003662117,0.0016973817],"category_scores_gemma":[0.008797887,0.0003175668,0.000684421,0.001551303,0.00051248405,0.00010970153,0.00020386332,0.0013763036,0.0005438525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006780462,0.0015486896,0.000052296913,0.0009241336,0.00092878187,0.00016933412,0.0030379244,0.000021721671,0.00011964498,0.77173233,0.22030872,0.0010885886],"study_design_scores_gemma":[0.0014702636,0.0006308387,0.00007033254,0.003376965,0.0011715455,0.0009866317,0.033577234,0.0009911417,0.0009788112,0.92122376,0.035078976,0.00044347192],"about_ca_topic_score_codex":0.0000026988514,"about_ca_topic_score_gemma":0.0000019408028,"teacher_disagreement_score":0.83154327,"about_ca_system_score_codex":0.00019100949,"about_ca_system_score_gemma":0.0005717658,"threshold_uncertainty_score":0.99992764},"labels":[],"label_agreement":null},{"id":"W4413965793","doi":"10.70930/tac/wn8fe9el","title":"Higher coverings of racks and quandles – Part I","year":2024,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Geometric and Algebraic Topology","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; Algebra over a field; Computer science; Pure mathematics","score_opus":0.018922877575736585,"score_gpt":0.2885249780075509,"score_spread":0.2696021004318143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9201978,0.0142489765,0.04716335,0.00053286564,0.00010984389,0.00036330134,0.0000563649,0.00011343158,0.017214091],"genre_scores_gemma":[0.99652004,0.00025727123,0.0003602662,0.000010408478,0.00004014145,0.00003665949,0.00000282122,0.0000064461265,0.0027659605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999614,0.000023474857,0.00015601389,0.000099287354,0.00004547249,0.00006175215],"domain_scores_gemma":[0.9989978,0.0007790751,0.000047795013,0.0001262251,0.000027473387,0.000021624606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029248555,0.00005914173,0.00014563113,0.000070939044,0.000036949652,0.00000986301,0.00005272165,0.00004004161,0.00011604037],"category_scores_gemma":[0.00004560122,0.000046922334,0.000019565246,0.00017044021,0.00036745518,0.0000455395,0.000036431185,0.00004264241,0.0000025201487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011601112,0.000019004543,0.00007913087,0.0002644713,0.000027857754,1.5063847e-7,0.00039003897,1.3010687e-7,0.00032169934,0.99030566,0.00028909437,0.00829113],"study_design_scores_gemma":[0.000063440566,0.00002521156,0.00021025579,0.000013737888,0.000044026063,0.0000042976835,0.000520544,0.0000016736975,0.0039758366,0.96366733,0.031426657,0.000046973113],"about_ca_topic_score_codex":0.000005566362,"about_ca_topic_score_gemma":5.9483466e-7,"teacher_disagreement_score":0.07632225,"about_ca_system_score_codex":0.0000018231692,"about_ca_system_score_gemma":0.000012656278,"threshold_uncertainty_score":0.19134372},"labels":[],"label_agreement":null},{"id":"W4413965827","doi":"10.70930/tac/o6q4wziv","title":"Cyclic sets from the nerve of a group and the Böhm-Ştefan construction","year":2025,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Geometric and Algebraic Topology","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":"Group (periodic table); Mathematics; Computer science; Physics","score_opus":0.009115814326257394,"score_gpt":0.2651952683975494,"score_spread":0.256079454071292,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965827","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9338353,0.0031642618,0.054190785,0.0019914834,0.000048564223,0.000539177,0.000041328472,0.000026572769,0.0061625126],"genre_scores_gemma":[0.9988785,0.00013930102,0.0006603647,0.000059597336,0.000022192247,0.000083615196,0.000005025605,0.0000032800658,0.00014816344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943423,0.00014421537,0.00020790003,0.000100231,0.000050088896,0.00006334482],"domain_scores_gemma":[0.99622804,0.0033100212,0.00013825258,0.0002748607,0.00003689695,0.000011932807],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005514884,0.00006777562,0.00018131825,0.000044012857,0.00015657328,0.000010598849,0.00013863652,0.000044909928,0.000020315045],"category_scores_gemma":[0.00020037344,0.00003719286,0.000031044903,0.0002670309,0.0017249929,0.00002905916,0.00007081013,0.000073877905,5.291217e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006376774,0.00001889631,0.0005138217,0.000028867422,0.000053892454,2.2915884e-8,0.0006733296,1.322039e-7,0.00010824906,0.9852637,0.00008263054,0.013192664],"study_design_scores_gemma":[0.00040487477,0.000009909946,0.0014580194,0.00000801695,0.00010931993,0.000003269167,0.006985572,0.0000041033213,0.0011737953,0.9889654,0.0008441032,0.000033599743],"about_ca_topic_score_codex":0.000109332235,"about_ca_topic_score_gemma":0.000014475544,"teacher_disagreement_score":0.065043144,"about_ca_system_score_codex":0.000003362762,"about_ca_system_score_gemma":0.000015766538,"threshold_uncertainty_score":0.6355808},"labels":[],"label_agreement":null},{"id":"W4414138624","doi":"10.1007/s00208-025-03244-0","title":"A link condition for simplicial complexes, and CUB spaces","year":2025,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Link (geometry); Simplicial complex; Geodesic; Euclidean geometry; Metric space; Space (punctuation); Regular polygon; Euclidean space","score_opus":0.04860246725740974,"score_gpt":0.36420493757738015,"score_spread":0.3156024703199704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414138624","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64893764,0.0016901626,0.2778403,0.02096779,0.0004418663,0.0024368255,0.00023698316,0.0004770873,0.046971347],"genre_scores_gemma":[0.910575,0.00006525496,0.07266458,0.0009525745,0.00035374443,0.00026551072,0.000049780425,0.000045011442,0.01502857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990996,0.00003311098,0.00028546917,0.00023213074,0.00009833635,0.0002513618],"domain_scores_gemma":[0.99859643,0.00093967107,0.00012188205,0.0002132377,0.000078599565,0.000050178838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032322836,0.00015473887,0.0003488227,0.00020773546,0.00015869817,0.0000513102,0.00013681897,0.000119093456,0.00021785956],"category_scores_gemma":[0.0006546523,0.00013521801,0.00007599258,0.00023335274,0.000105632,0.000075080716,0.00008317926,0.00009954573,0.000022516113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018861423,0.00006868827,0.00028304278,0.00053145265,0.00008935664,0.000001579943,0.00040640615,5.539585e-7,0.0003265752,0.89304507,0.09745477,0.007773668],"study_design_scores_gemma":[0.0007003629,0.00008221128,0.0008110474,0.00008742124,0.00009071645,0.00001483371,0.00038617977,0.00038542371,0.00082837197,0.96024334,0.03621191,0.00015816468],"about_ca_topic_score_codex":0.000009189177,"about_ca_topic_score_gemma":0.0000138325395,"teacher_disagreement_score":0.2616373,"about_ca_system_score_codex":0.000007406902,"about_ca_system_score_gemma":0.00003173508,"threshold_uncertainty_score":0.55140305},"labels":[],"label_agreement":null},{"id":"W4414443552","doi":"10.1214/24-aop1753","title":"The Poisson boundary of hyperbolic groups without moment conditions","year":2025,"lang":"en","type":"article","venue":"The Annals of Probability","topic":"Geometric and Algebraic Topology","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":"Moment (physics); Hyperbolic triangle; Boundary (topology); Entropy (arrow of time); Hyperbolic manifold; Metric (unit); Class (philosophy); Hyperbolic equilibrium point; Boundary value problem","score_opus":0.11010832491660176,"score_gpt":0.39314437297173477,"score_spread":0.283036048055133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414443552","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97714525,0.00058296754,0.0005358443,0.016330775,0.00011859396,0.0004910418,0.000025597677,0.000024641256,0.004745275],"genre_scores_gemma":[0.9984239,0.000058484777,0.00034496264,0.00019637332,0.000019396231,0.000037961603,0.0000017873064,0.0000049624036,0.00091221294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998788,0.00023230733,0.00044713556,0.00014241226,0.00018093984,0.00020918378],"domain_scores_gemma":[0.99765146,0.0011554378,0.00021455473,0.00072807545,0.00022305852,0.000027390606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017460033,0.00009909886,0.00028247506,0.000059109894,0.0002205866,0.000011092721,0.00039780833,0.000054565196,0.0000632473],"category_scores_gemma":[0.0012067888,0.00005316667,0.00013419882,0.0004186565,0.0008487058,0.00003442464,0.0001428741,0.00013314001,0.0000045577913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052909145,0.00034058094,0.0035478245,0.00017856041,0.00012683123,1.3527357e-7,0.0005080952,0.0000041057347,0.00027086883,0.98714495,0.005773087,0.00205205],"study_design_scores_gemma":[0.00015954673,0.00007191433,0.028520085,0.000025022184,0.000037115584,0.0000011798716,0.00025549092,0.00001410879,0.00402683,0.9633169,0.0035261693,0.000045599587],"about_ca_topic_score_codex":0.00006337654,"about_ca_topic_score_gemma":0.000042058295,"teacher_disagreement_score":0.02497226,"about_ca_system_score_codex":0.000014181772,"about_ca_system_score_gemma":0.00010389222,"threshold_uncertainty_score":0.3127092},"labels":[],"label_agreement":null},{"id":"W4414749554","doi":"10.1017/s0305004125101734","title":"Ordered bases, order-preserving automorphisms and bi-orderable link groups","year":2025,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometric and Algebraic Topology","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; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Automorphism; Invariant (physics); Link (geometry); Group (periodic table); Automorphism group","score_opus":0.025880751945526075,"score_gpt":0.2720750534522089,"score_spread":0.2461943015066828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414749554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72458404,0.00055854104,0.006823684,0.19137485,0.0003518775,0.0016770277,0.000037601843,0.00046887423,0.07412349],"genre_scores_gemma":[0.97276783,0.000052046264,0.022883093,0.0016340294,0.00021961266,0.000063280626,0.0000018211175,0.00004972244,0.0023285742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974177,0.00003094586,0.000862923,0.00055397605,0.00055842014,0.0005760749],"domain_scores_gemma":[0.9973788,0.0012956915,0.00033296426,0.00038739326,0.0004352828,0.00016983211],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001077505,0.00038854894,0.00085538253,0.00010175813,0.0004116257,0.00008920767,0.000860588,0.00041855214,0.00012515255],"category_scores_gemma":[0.004412,0.00027010485,0.00040297513,0.0015204235,0.00082162925,0.00016905957,0.0011918464,0.0007669742,0.000009664377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000198764,0.0002636585,0.00045140364,0.0017428349,0.00016830605,6.012927e-7,0.00018971878,6.193904e-7,0.0010118041,0.97698355,0.018801825,0.00036579493],"study_design_scores_gemma":[0.00086991285,0.000069042544,0.00051530503,0.0003577814,0.00020655956,0.00002540241,0.00026526966,0.0042893565,0.0011661069,0.99100244,0.00095974805,0.0002730507],"about_ca_topic_score_codex":0.000012501231,"about_ca_topic_score_gemma":3.632751e-7,"teacher_disagreement_score":0.24818377,"about_ca_system_score_codex":0.000076528704,"about_ca_system_score_gemma":0.00007775893,"threshold_uncertainty_score":0.9999751},"labels":[],"label_agreement":null},{"id":"W4414920298","doi":"10.1007/s00209-025-03865-w","title":"Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space","year":2025,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","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":"Geodesic; Boundary (topology); Morse theory; Metric (unit); Metric space; Space (punctuation); Class (philosophy)","score_opus":0.014625755756311004,"score_gpt":0.27512822304456536,"score_spread":0.2605024672882543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414920298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80729836,0.06396771,0.014074898,0.01960277,0.0020683762,0.0027862543,0.00012088783,0.00018460865,0.08989615],"genre_scores_gemma":[0.9636052,0.0031320604,0.014960749,0.00022321576,0.00018659954,0.0001254981,0.000007042248,0.000058499623,0.017701117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9968178,0.00049911626,0.0011533787,0.0005559116,0.0003814502,0.00059231976],"domain_scores_gemma":[0.99517137,0.0030375626,0.00057118473,0.0009255603,0.00018815034,0.000106163505],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002027581,0.00047908482,0.001332661,0.00084913714,0.0002483125,0.00012090766,0.00051172567,0.00039682834,0.0003397041],"category_scores_gemma":[0.0032082088,0.00033381823,0.00023763909,0.0024304888,0.0010903792,0.00015027632,0.0004935209,0.00054791296,0.0000996951],"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":[0.00011645686,0.00056770083,0.003330141,0.0011316157,0.00050371495,0.0000099198705,0.0058067227,0.00001971871,0.00018528984,0.97813493,0.008609114,0.001584659],"study_design_scores_gemma":[0.03490699,0.0006445924,0.0538272,0.0045818654,0.0059136115,0.00017465372,0.020889046,0.029014517,0.01281773,0.3398117,0.49395427,0.0034638112],"about_ca_topic_score_codex":0.0013513084,"about_ca_topic_score_gemma":0.00037981878,"teacher_disagreement_score":0.63832325,"about_ca_system_score_codex":0.000013108577,"about_ca_system_score_gemma":0.00022204408,"threshold_uncertainty_score":0.99991137},"labels":[],"label_agreement":null},{"id":"W4415122242","doi":"10.2140/gt.2025.29.3345","title":"Embedded contact homology and open book decompositions","year":2025,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Geometric and Algebraic Topology","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; Institut Universitaire de France; Agence Nationale de la Recherche; National Science Foundation","keywords":"Homology (biology); Algebra over a field; Floer homology; Differential geometry; Seifert surface","score_opus":0.026110959050242886,"score_gpt":0.35853223045918664,"score_spread":0.33242127140894373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415122242","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8121362,0.0053267027,0.019929994,0.01876044,0.0022722436,0.0014164221,0.000050512284,0.00026806342,0.13983943],"genre_scores_gemma":[0.9674058,0.0001823999,0.008839591,0.0052846707,0.0000972367,0.0001440939,0.000022575368,0.000024480532,0.01799914],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823266,0.00021048005,0.0004431881,0.00049182196,0.000077269055,0.00054458855],"domain_scores_gemma":[0.9971646,0.0019947116,0.00013369956,0.0005111284,0.00007978041,0.00011607962],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003989413,0.00022796665,0.0006912397,0.00088582694,0.00028836323,0.00005418982,0.0006109347,0.00032549113,0.0028987562],"category_scores_gemma":[0.00089460704,0.00021852496,0.00007972067,0.0008961538,0.00038153538,0.0001369469,0.0008130499,0.00031292747,0.000089459245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005480687,0.00021402849,0.0055102105,0.00005132127,0.00022913194,0.000052155152,0.00014143137,4.800812e-7,0.00033353426,0.9091701,0.07999389,0.0042488915],"study_design_scores_gemma":[0.0028241856,0.0005441809,0.022667648,0.000033523258,0.00024239162,0.00054441264,0.000737083,0.00002867966,0.0010782757,0.8149485,0.15588814,0.00046299255],"about_ca_topic_score_codex":0.00020510462,"about_ca_topic_score_gemma":0.00007305333,"teacher_disagreement_score":0.15526961,"about_ca_system_score_codex":0.000054994172,"about_ca_system_score_gemma":0.00011596743,"threshold_uncertainty_score":0.9980127},"labels":[],"label_agreement":null},{"id":"W4415142606","doi":"10.3390/math13203260","title":"Topology and Algebra of Bonded Knots and Braids","year":2025,"lang":"en","type":"article","venue":"Mathematics","topic":"Geometric and Algebraic Topology","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":"Banff International Research Station for Mathematical Innovation and Discovery; Univerza v Ljubljani; Vrije Universiteit Amsterdam","keywords":"Braid; Isotopy; Braid group; Knot theory; Knot (papermaking); Braid theory; Topology (electrical circuits); Vertex (graph theory)","score_opus":0.020821317338454853,"score_gpt":0.30709818277443374,"score_spread":0.28627686543597886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415142606","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96513236,0.00068570254,0.012913288,0.0014513215,0.0001331673,0.00024624175,0.0000075021294,0.00006281161,0.019367624],"genre_scores_gemma":[0.9347872,0.00006358438,0.06008104,0.00019293246,0.000025290045,0.0000103424645,0.0000012968604,0.000015662967,0.0048226365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911237,0.000034581062,0.00038922197,0.00017483447,0.00009522064,0.00019378142],"domain_scores_gemma":[0.99836373,0.0011326951,0.000135223,0.0002720016,0.000048716163,0.000047624224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030647375,0.00013801374,0.00044895016,0.00025730729,0.00005387421,0.000011987068,0.00011411568,0.00013754972,0.000101237696],"category_scores_gemma":[0.00081557164,0.000117407624,0.000038723505,0.0003093729,0.00028697422,0.000033892087,0.00017305907,0.00010321433,0.0000038084497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000039747106,0.00011280587,0.0007616319,0.0006527259,0.00006091396,0.0000030486515,0.00078737625,4.3489653e-8,0.00039087766,0.9914005,0.0024615831,0.0033645534],"study_design_scores_gemma":[0.0004915616,0.000067731235,0.0008219593,0.00005895575,0.000083393425,0.00004250915,0.00074299856,0.00013680279,0.0015718187,0.9946799,0.0011975813,0.00010479],"about_ca_topic_score_codex":0.000007928908,"about_ca_topic_score_gemma":0.0000052279815,"teacher_disagreement_score":0.047167752,"about_ca_system_score_codex":0.000008787605,"about_ca_system_score_gemma":0.000028700353,"threshold_uncertainty_score":0.4787744},"labels":[],"label_agreement":null},{"id":"W4415269154","doi":"10.1007/s00209-025-03871-y","title":"Products of free groups inside graph braid groups","year":2025,"lang":"en","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","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":"Braid group; Free product; Abelian group; Free abelian group; Cohomological dimension; Graph; Braid; Direct product; Artin group","score_opus":0.025114007244336437,"score_gpt":0.2798289050663134,"score_spread":0.254714897821977,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415269154","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.717863,0.0022508197,0.041483372,0.004322179,0.0011667546,0.0015168843,0.00006813292,0.00061332976,0.23071553],"genre_scores_gemma":[0.9532355,0.00004058628,0.04189128,0.00025198745,0.00012122981,0.00007063491,0.000009839709,0.00005545218,0.0043234527],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972671,0.00014586552,0.0009918001,0.0005759992,0.00045884558,0.000560357],"domain_scores_gemma":[0.996479,0.0011143475,0.00042956756,0.0016253808,0.00025143565,0.00010028603],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00096402306,0.00039559507,0.000912714,0.0007963889,0.00014375524,0.000034446486,0.00093959743,0.00027638668,0.0003656597],"category_scores_gemma":[0.0051031793,0.00033639136,0.0002225142,0.0020282147,0.00028051942,0.00020261575,0.0005450111,0.00039240732,0.00009058136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019153096,0.0003924413,0.0005886826,0.001175314,0.00019782304,0.000009391914,0.000734271,8.1441283e-7,0.0043851226,0.95875376,0.03260471,0.0011385191],"study_design_scores_gemma":[0.0015675839,0.00013809117,0.0029007725,0.00035593958,0.00021864667,0.000048644153,0.00057208043,0.000021594458,0.05415639,0.9282528,0.011313428,0.00045399315],"about_ca_topic_score_codex":0.000033953605,"about_ca_topic_score_gemma":0.00002615844,"teacher_disagreement_score":0.23537254,"about_ca_system_score_codex":0.000006732358,"about_ca_system_score_gemma":0.00013048013,"threshold_uncertainty_score":0.9999088},"labels":[],"label_agreement":null},{"id":"W4415815556","doi":"10.2140/agt.2025.25.3875","title":"Product and coproduct on fixed point Floer homology of positive Dehn twists","year":2025,"lang":"en","type":"article","venue":"Algebraic & Geometric Topology","topic":"Geometric and Algebraic Topology","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":"Coproduct; Floer homology; Fixed point; Product (mathematics); Homology (biology); Khovanov homology; Dehn surgery","score_opus":0.016452944962567724,"score_gpt":0.2959894332615784,"score_spread":0.2795364882990107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415815556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9722345,0.0033002219,0.0027989037,0.008748769,0.0015982784,0.0008891202,0.000034876553,0.00014466571,0.010250682],"genre_scores_gemma":[0.9902824,0.00015969516,0.0030935432,0.0011559061,0.00017068732,0.000054793465,0.000019161225,0.000039710292,0.005024096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996349,0.000413523,0.0009528015,0.0011103622,0.000299512,0.000874807],"domain_scores_gemma":[0.9945813,0.0035177963,0.00042123097,0.0010168507,0.00031166663,0.00015117278],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010308647,0.0004788583,0.0012470807,0.0038856019,0.00015322455,0.000017569722,0.0005143541,0.00038627608,0.0006994698],"category_scores_gemma":[0.007899288,0.00043103218,0.00018388062,0.00500078,0.0011269648,0.00009183712,0.00040500698,0.00055036263,0.0000675098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028481157,0.00093628693,0.008737829,0.00030467557,0.0006988443,0.00009172388,0.00065990095,0.0000043120344,0.0008447978,0.9258048,0.018877398,0.042754613],"study_design_scores_gemma":[0.0041014045,0.002788523,0.10445323,0.000119313765,0.0005456405,0.000653765,0.00071527297,0.0000224005,0.03684692,0.8414941,0.0072549037,0.0010045645],"about_ca_topic_score_codex":0.00023549177,"about_ca_topic_score_gemma":0.000029295297,"teacher_disagreement_score":0.095715396,"about_ca_system_score_codex":0.00010882618,"about_ca_system_score_gemma":0.00019776695,"threshold_uncertainty_score":0.99981415},"labels":[],"label_agreement":null},{"id":"W4416240186","doi":"10.48550/arxiv.2511.10570","title":"Domination between non-Fuchsian representations and anti-de Sitter geometry","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"De Sitter universe; Harmonic; Surface (topology); Construct (python library); Work (physics); Anti-de Sitter space","score_opus":0.060901521130081994,"score_gpt":0.35492010932458,"score_spread":0.294018588194498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416240186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9790548,0.00011505612,0.012058937,0.0025932672,0.0003876827,0.00043004556,0.00007304748,0.00010243704,0.0051847296],"genre_scores_gemma":[0.9881208,0.000081810584,0.0049751634,0.00022402559,0.00038580655,0.000053027932,0.000100680045,0.000026090658,0.0060326266],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998234,0.00011542109,0.0004970748,0.0005993816,0.00019303494,0.0003611158],"domain_scores_gemma":[0.99783325,0.00095134816,0.00029354205,0.0006978884,0.00011224779,0.00011172039],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000488735,0.00028664852,0.00057835144,0.00075254415,0.0001524866,0.000052147185,0.00033136155,0.00042893103,0.0001720591],"category_scores_gemma":[0.0010381984,0.0002911086,0.00014160706,0.0005336601,0.00013374221,0.00007584762,0.00079027575,0.00069095974,0.000054843385],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033429214,0.00006617711,0.990439,0.00039786205,0.00019645125,0.000015946047,0.00067923666,0.000006166143,0.00006667729,0.0023173045,0.0038572787,0.0019545592],"study_design_scores_gemma":[0.0004710469,0.000019970525,0.93061835,0.00012934036,0.0002939801,0.000007801173,0.00030935186,0.00004817986,0.0008336515,0.06628871,0.0006739083,0.00030568548],"about_ca_topic_score_codex":0.00017919186,"about_ca_topic_score_gemma":0.0000116842675,"teacher_disagreement_score":0.06397141,"about_ca_system_score_codex":0.000080208076,"about_ca_system_score_gemma":0.00012471268,"threshold_uncertainty_score":0.9999541},"labels":[],"label_agreement":null},{"id":"W4416243120","doi":"10.48550/arxiv.2508.08003","title":"Counting Salem numbers arising from arithmetic hyperbolic orbifolds","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Centers for Disease Control and Prevention; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Dimension (graph theory); Generalization; Polynomial; Commensurability (mathematics); Upper and lower bounds; Exponent; Integer (computer science); Degree (music); Number theory","score_opus":0.07990046507747883,"score_gpt":0.3302665703755991,"score_spread":0.25036610529812026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416243120","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.977325,0.0009343593,0.004048384,0.00077459175,0.0023904245,0.0003914376,0.000094862204,0.00039013388,0.013650803],"genre_scores_gemma":[0.98183155,0.00014148132,0.011664375,0.0005635026,0.00076508365,0.00004613938,0.00009327345,0.00007356592,0.004821052],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968797,0.00016577258,0.00087574153,0.0009881287,0.00039821834,0.00069244934],"domain_scores_gemma":[0.9962941,0.001628586,0.0005490175,0.0012241603,0.00016263446,0.00014154601],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00053375476,0.00057709945,0.0011012304,0.00046281845,0.00020689449,0.00009853821,0.00081622857,0.0008655732,0.0006221334],"category_scores_gemma":[0.0017494907,0.00058770564,0.00034681195,0.00061814324,0.00016104798,0.00007155079,0.0013503225,0.001439613,0.00036033444],"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":[0.000024119146,0.00040661264,0.9631338,0.0010236371,0.0011348083,0.00014813223,0.0020022355,0.00007418665,0.00021042244,0.01576776,0.01001956,0.0060547353],"study_design_scores_gemma":[0.0022821643,0.000082130835,0.28539473,0.0022297234,0.0021000158,0.0000469738,0.0020405813,0.0010015101,0.0017791938,0.6746515,0.025550412,0.002841074],"about_ca_topic_score_codex":0.0019867881,"about_ca_topic_score_gemma":0.0001350037,"teacher_disagreement_score":0.6777391,"about_ca_system_score_codex":0.00018679381,"about_ca_system_score_gemma":0.0003182405,"threshold_uncertainty_score":0.99965745},"labels":[],"label_agreement":null},{"id":"W4416247201","doi":"10.48550/arxiv.2510.19602","title":"String graphs are quasi-isometric to planar graphs","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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":"Bundesministerium für Bildung und Forschung; Banff International Research Station for Mathematical Innovation and Discovery; Alexander von Humboldt-Stiftung","keywords":"Planar graph; Chordal graph; String (physics); 1-planar graph; Outerplanar graph; Indifference graph; Pathwidth","score_opus":0.06703343527621185,"score_gpt":0.30836795035102216,"score_spread":0.2413345150748103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416247201","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9741193,0.0035470075,0.0070648477,0.0021241703,0.0055835024,0.002303817,0.00044330733,0.000462818,0.0043512294],"genre_scores_gemma":[0.9812012,0.0019833338,0.0034926536,0.0009994694,0.0003962079,0.00028979956,0.00008058179,0.00015201051,0.011404771],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9901677,0.00052889984,0.0027739843,0.0029568572,0.0012127436,0.002359815],"domain_scores_gemma":[0.98991066,0.0032056472,0.0017311852,0.0034824004,0.0006431789,0.0010268965],"candidate_categories":["metaepi_narrow","bibliometrics","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0016022518,0.0018613334,0.0032245682,0.011380077,0.00075646664,0.00019766904,0.0029671334,0.0019622995,0.0014211729],"category_scores_gemma":[0.006086687,0.001982545,0.0014772443,0.015296488,0.00036238745,0.00018816064,0.0025799014,0.0032397306,0.0018971055],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001204678,0.0016741568,0.8585111,0.002696619,0.0016210775,0.00017927164,0.0014043369,0.00007895958,0.00004811802,0.119662344,0.007301147,0.006702388],"study_design_scores_gemma":[0.0028925186,0.0010835868,0.6655878,0.002896353,0.0018872193,0.000075722615,0.0054784915,0.00007382662,0.0011811039,0.29833767,0.016479041,0.0040266956],"about_ca_topic_score_codex":0.0005588011,"about_ca_topic_score_gemma":0.00015547255,"teacher_disagreement_score":0.19292334,"about_ca_system_score_codex":0.00040561482,"about_ca_system_score_gemma":0.00056767813,"threshold_uncertainty_score":0.99982506},"labels":[],"label_agreement":null},{"id":"W4416331397","doi":"10.1090/tran/9525","title":"Order-detection, representation-detection, and applications to cable knots","year":2025,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tuple; Boundary (topology); Knot (papermaking); Torus; Manifold (fluid mechanics)","score_opus":0.01860569449402354,"score_gpt":0.31422139919939746,"score_spread":0.2956157047053739,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416331397","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050349973,0.000021115136,0.94528705,0.0019317712,0.00005992601,0.0006140572,0.000009501313,0.000088177214,0.0016384164],"genre_scores_gemma":[0.960324,0.000026232963,0.035731852,0.0003305084,0.000027484797,0.00029303427,2.872362e-7,0.000017123282,0.0032494767],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988792,0.00006658309,0.00039857128,0.00026022652,0.0001885495,0.00020689667],"domain_scores_gemma":[0.998203,0.0008443761,0.00017257548,0.0005319901,0.00017257482,0.00007552899],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022813445,0.00013992781,0.00035220588,0.00009687521,0.00039319834,0.000019538755,0.00023932775,0.000057219928,0.000118938966],"category_scores_gemma":[0.00030583958,0.00010819929,0.0002103928,0.0027166747,0.00050702825,0.000052516254,0.000036204976,0.0001942773,0.000012923207],"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":[0.0002513706,0.0044477517,0.00174302,0.0031608597,0.0035470629,8.0998115e-7,0.012407646,0.0028547612,0.064611256,0.37028623,0.011058929,0.5256303],"study_design_scores_gemma":[0.0006575762,0.00017172759,0.0044789887,0.000072518196,0.0005432925,0.000027437765,0.0073095663,0.002563943,0.02609164,0.952459,0.005256213,0.00036811145],"about_ca_topic_score_codex":0.00019461184,"about_ca_topic_score_gemma":0.00003758546,"teacher_disagreement_score":0.90997404,"about_ca_system_score_codex":0.000055429755,"about_ca_system_score_gemma":0.000046855235,"threshold_uncertainty_score":0.4412239},"labels":[],"label_agreement":null},{"id":"W4416667981","doi":"10.1090/proc/17341","title":"Exotic definite four-manifolds with non-cyclic fundamental group","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","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; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pairwise comparison; Group (periodic table); Construct (python library); Fundamental group; Existential quantification","score_opus":0.025057850151749717,"score_gpt":0.2663807396086971,"score_spread":0.2413228894569474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416667981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9718579,0.000021761889,0.0043768794,0.0015022941,0.000048796563,0.00046035455,0.000004196124,0.00009417754,0.02163366],"genre_scores_gemma":[0.9428586,0.000014258089,0.054993868,0.0006975928,0.000036718793,0.000053944852,3.7973018e-7,0.000032455515,0.0013122036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982133,0.000011944996,0.0004998513,0.00034537492,0.00045148056,0.0004780812],"domain_scores_gemma":[0.99826694,0.00068606035,0.0005679369,0.00025516303,0.00013153102,0.00009239045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046633644,0.0002866813,0.0007267744,0.000078458754,0.00020434338,0.00004788751,0.0006785198,0.00007958494,0.00007223869],"category_scores_gemma":[0.00045213752,0.0001748578,0.00041442338,0.0016007215,0.0011357304,0.00009612519,0.0003825646,0.00031534466,0.000017404918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008938637,0.0010120842,0.027580202,0.0020242576,0.0008162026,0.0000016803599,0.0020383706,7.584618e-7,0.004509495,0.94453204,0.01597311,0.0014224196],"study_design_scores_gemma":[0.0010843071,0.00043461157,0.018671094,0.000467439,0.00052655104,0.00007949592,0.008499567,0.00050795585,0.0017032658,0.9672215,0.00037929587,0.00042493702],"about_ca_topic_score_codex":0.000017027776,"about_ca_topic_score_gemma":0.0000013241482,"teacher_disagreement_score":0.050616987,"about_ca_system_score_codex":0.00009729897,"about_ca_system_score_gemma":0.000042070827,"threshold_uncertainty_score":0.7130494},"labels":[],"label_agreement":null},{"id":"W4416866061","doi":"10.5206/mt.v5i4.22279","title":"A Subnormal Closure Version and Proof of the Guralnick-Tracey Theorem on Proper Normal Subgroup Containment","year":2025,"lang":"","type":"article","venue":"Maple Transactions","topic":"Geometric and Algebraic Topology","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":"Closure (psychology); Normal subgroup; Rank (graph theory); Group (periodic table); Matrix (chemical analysis); Algebra over a field; Unification; Complete lattice; Lattice (music)","score_opus":0.009459069118161497,"score_gpt":0.23933548795049903,"score_spread":0.22987641883233753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416866061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.939762,0.00094251236,0.032709647,0.010367182,0.0015115414,0.0024683161,0.00023406732,0.00005556543,0.011949186],"genre_scores_gemma":[0.98651636,0.00007541746,0.00023369656,0.00020326403,0.00003678415,0.00005843593,0.000003901914,0.000023921797,0.012848241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99769986,0.000291463,0.000686032,0.00041909688,0.0004091199,0.0004944611],"domain_scores_gemma":[0.99839514,0.00049896137,0.00023166934,0.00064535346,0.00013099097,0.000097868186],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00055326405,0.00035472767,0.0005142003,0.0002948487,0.00062184024,0.000040226725,0.00036539577,0.00030642567,0.001610275],"category_scores_gemma":[0.00008871528,0.00024464488,0.00032501982,0.00092897424,0.000594822,0.00013246213,0.000049899285,0.0006715193,0.000016658816],"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":[0.006305786,0.014432395,0.023809765,0.00808617,0.0045937714,0.000046923582,0.024090342,0.0026611742,0.0060697277,0.7814311,0.008526652,0.119946234],"study_design_scores_gemma":[0.03862605,0.010047235,0.13680522,0.004589131,0.010440656,0.00037540263,0.044143923,0.0077053667,0.51264876,0.12122467,0.10934474,0.0040488197],"about_ca_topic_score_codex":0.00013927548,"about_ca_topic_score_gemma":0.00021690823,"teacher_disagreement_score":0.6602064,"about_ca_system_score_codex":0.0001198142,"about_ca_system_score_gemma":0.00021481319,"threshold_uncertainty_score":0.9993024},"labels":[],"label_agreement":null},{"id":"W4417070250","doi":"10.1142/s179352532650010x","title":"Shelukhin’s Hofer distance and a symplectic cohomology barcode for contactomorphisms","year":2025,"lang":"en","type":"article","venue":"Journal of Topology and Analysis","topic":"Geometric and Algebraic Topology","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":"Barcode; Boundary (topology); Bounded function; Ideal (ethics); Symplectic geometry; Construct (python library); Cohomology; Monotone polygon","score_opus":0.018133929184078055,"score_gpt":0.3267464051605845,"score_spread":0.30861247597650643,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417070250","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6670032,0.0031985987,0.3200902,0.008892569,0.0002500153,0.00011200933,0.00001455507,0.000010080356,0.00042878278],"genre_scores_gemma":[0.99373037,0.00025432094,0.0038534533,0.0005370192,0.000046672016,0.000004877882,0.0000016600314,0.000005134909,0.0015665233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998949,0.000114116316,0.00048526502,0.00016964032,0.000067127345,0.00021485712],"domain_scores_gemma":[0.99771553,0.0016026641,0.0003260778,0.00012398095,0.00015742167,0.0000743214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004921666,0.00012318979,0.0007701834,0.00077530195,0.00014044443,0.000015868785,0.00012029295,0.00016243962,0.00011745182],"category_scores_gemma":[0.0009103946,0.00009539329,0.00020361609,0.00055599,0.0002989354,0.000055954923,0.000042619475,0.0001962869,3.6625963e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000264721,0.00013863253,0.11700789,0.00011442179,0.0045343973,0.00005098064,0.00031365282,0.000007802732,0.00016917154,0.87222725,0.0026675267,0.0025035604],"study_design_scores_gemma":[0.0021432976,0.0004919355,0.04753441,0.00002682973,0.006118732,0.0003007257,0.0006109003,0.00071709976,0.00016067488,0.937917,0.0037917907,0.00018659983],"about_ca_topic_score_codex":0.000016850547,"about_ca_topic_score_gemma":0.00011188033,"teacher_disagreement_score":0.32672715,"about_ca_system_score_codex":0.00002581916,"about_ca_system_score_gemma":0.000055567776,"threshold_uncertainty_score":0.38900253},"labels":[],"label_agreement":null},{"id":"W4417118564","doi":"10.48550/arxiv.2506.06477","title":"On geodesic disks enclosing many points","year":2025,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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":"Agencia Estatal de Investigación; Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Boundary (topology); Regular polygon; Upper and lower bounds; Polygon (computer graphics); Set (abstract data type); Point (geometry)","score_opus":0.12024369346236856,"score_gpt":0.23600645106191634,"score_spread":0.11576275759954778,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417118564","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8237234,0.00004848695,0.115182504,0.00020308356,0.0009967015,0.00043002513,0.000062955456,0.0002838724,0.059068978],"genre_scores_gemma":[0.97266215,0.00007155059,0.00092155125,0.00017350832,0.00007447999,9.998555e-7,0.000016334645,0.000022919452,0.026056487],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981568,0.00016184611,0.00025289663,0.00090044085,0.000095286465,0.00043276552],"domain_scores_gemma":[0.99766374,0.00086163223,0.0002635507,0.0009935899,0.000087228625,0.00013024818],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00026157944,0.00038084618,0.0005303915,0.0006957395,0.00016300564,0.000033418615,0.0007621145,0.00048869,0.00055637286],"category_scores_gemma":[0.00043986773,0.00042025425,0.00030027435,0.00065248355,0.00014595786,0.000058318452,0.0010276556,0.00085446856,0.0001849922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004661796,0.00018057553,0.0007780104,0.00022900997,0.00016040522,0.0002153966,0.00008931834,0.0022854933,0.0000023314392,0.99248785,0.0030406413,0.00048436268],"study_design_scores_gemma":[0.000523262,0.000052434196,0.00052996754,0.00025962398,0.00024593974,0.00000300481,0.00012415253,0.00659687,0.00008194285,0.99075246,0.00041911137,0.00041120924],"about_ca_topic_score_codex":0.00009597764,"about_ca_topic_score_gemma":0.000015694119,"teacher_disagreement_score":0.14893878,"about_ca_system_score_codex":0.0002593845,"about_ca_system_score_gemma":0.00015330278,"threshold_uncertainty_score":0.99982494},"labels":[],"label_agreement":null},{"id":"W4417289985","doi":"10.48550/arxiv.2512.09226","title":"$L_1$ and $L_2$ embeddings of the symmetric group","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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; American Institute of Mathematics","keywords":"Cayley graph; Bounded function; Sequence (biology); Cayley's theorem; Group (periodic table); Symmetric group; Transposition (logic); Context (archaeology)","score_opus":0.04209272330256102,"score_gpt":0.2913575287323172,"score_spread":0.24926480542975615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417289985","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98051363,0.0032493353,0.0010500442,0.0012044034,0.0024835202,0.0010943827,0.00009587282,0.000065260276,0.01024355],"genre_scores_gemma":[0.98448735,0.0016169226,0.0010655362,0.00037977364,0.00023205929,0.000055722558,0.000009775915,0.00005015118,0.012102698],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99546456,0.00036771083,0.001598213,0.0011818227,0.00057651266,0.0008112059],"domain_scores_gemma":[0.99352753,0.0025789128,0.0014273567,0.001964665,0.0003046376,0.00019689626],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010148134,0.0007992381,0.0016243887,0.0012077573,0.0003448903,0.000052200594,0.001603198,0.0009516804,0.00050054863],"category_scores_gemma":[0.0043664193,0.0006141056,0.0006341094,0.0038219537,0.0008637612,0.000091732385,0.004481477,0.0017182669,0.000081552025],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004474695,0.00064262544,0.8609818,0.0038151022,0.00089174963,0.000011885048,0.001858803,0.000012446915,0.00009877641,0.11922512,0.0020539556,0.01036295],"study_design_scores_gemma":[0.0015358581,0.00023747173,0.9109259,0.0011099859,0.0014663425,0.000046933474,0.0010936522,0.0003257982,0.0011714797,0.07357137,0.007549929,0.0009652535],"about_ca_topic_score_codex":0.00025786526,"about_ca_topic_score_gemma":0.000037859252,"teacher_disagreement_score":0.049944088,"about_ca_system_score_codex":0.0001322274,"about_ca_system_score_gemma":0.0002732157,"threshold_uncertainty_score":0.99963105},"labels":[],"label_agreement":null},{"id":"W4417521212","doi":"10.48550/arxiv.2504.17831","title":"Decomposition of Borel graphs and cohomology","year":2025,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","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; McGill University","keywords":"Borel equivalence relation; Borel set; Bounded function; Lipschitz continuity; Graph; Borel hierarchy","score_opus":0.07504702704652329,"score_gpt":0.23753826067461303,"score_spread":0.16249123362808976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417521212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9701651,0.0001383856,0.022767995,0.00006965304,0.00026159428,0.00020574145,0.000051860225,0.00006764038,0.0062720547],"genre_scores_gemma":[0.9963252,0.0002720529,0.0014033314,0.000034790377,0.000010555428,5.214825e-7,0.000017318374,0.0000074531763,0.0019288072],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990346,0.00010752888,0.00020147237,0.00044364663,0.00003449734,0.00017828365],"domain_scores_gemma":[0.99874187,0.00044452987,0.0002461674,0.0004048218,0.000101690326,0.00006095402],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015474453,0.00018106513,0.00044030236,0.00054139225,0.000054094053,0.000005560807,0.00027583644,0.0003743884,0.000070720824],"category_scores_gemma":[0.000102615515,0.00020598482,0.00012874088,0.00041222628,0.00025774987,0.000031178046,0.0006113562,0.00031637697,0.0000036076835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004050417,0.000101772544,0.008948389,0.0003368962,0.0001666282,0.0000534326,0.000087462984,0.00041951454,0.0000139198555,0.98900074,0.00059193175,0.00023883095],"study_design_scores_gemma":[0.0004920462,0.00006022338,0.003567968,0.000075316144,0.00026796584,0.000008227255,0.00010426828,0.0019200299,0.00012691587,0.99312204,0.000080151294,0.00017481761],"about_ca_topic_score_codex":0.00014249596,"about_ca_topic_score_gemma":0.00003399403,"teacher_disagreement_score":0.026160093,"about_ca_system_score_codex":0.00003896525,"about_ca_system_score_gemma":0.000079105936,"threshold_uncertainty_score":0.83998173},"labels":[],"label_agreement":null},{"id":"W598301583","doi":"10.1090/cbms/117","title":"From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry","year":2012,"lang":"en","type":"book","venue":"Regional conference series in mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":176,"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; Cube (algebra); Relatively hyperbolic group; Conjecture; Hyperbolic manifold; Hyperbolic 3-manifold; Group (periodic table); Pure mathematics; Hyperbolic geometry; Hyperbolic group; Quotient group; Quotient; Algebra over a field; Geometry; Algebraic geometry; Cyclic group; Abelian group","score_opus":0.05795597229021807,"score_gpt":0.28971248200124794,"score_spread":0.23175650971102987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W598301583","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28717566,0.009124477,0.03658708,0.0136597715,0.0034979763,0.0074328613,0.0012359418,0.0014103585,0.6398759],"genre_scores_gemma":[0.083810054,0.0008669304,0.13555521,0.00079226773,0.0026865166,0.00028249563,0.0005056655,0.00041311505,0.7750878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963857,0.00012352396,0.0012063226,0.0007213381,0.00077355735,0.0007895747],"domain_scores_gemma":[0.9952901,0.0026381304,0.0006059741,0.0008660247,0.00020935448,0.000390413],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068859675,0.00080090767,0.0016636833,0.0007740789,0.00012436043,0.0001162634,0.00071074953,0.0009752817,0.0019238875],"category_scores_gemma":[0.0012687243,0.0007068921,0.00018922138,0.00042856563,0.00050593895,0.00023311458,0.00055545405,0.00089662464,0.00032144718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038285016,0.00025341657,0.00007902281,0.00066227146,0.00016010976,0.000066156696,0.0030097296,2.4165104e-7,0.000018784349,0.9508274,0.044284727,0.00059982226],"study_design_scores_gemma":[0.00038691206,0.00012699491,0.00019258875,0.00072727335,0.0001769675,0.00013473508,0.0011370648,0.000022733548,0.000049265433,0.94192475,0.054353505,0.0007671935],"about_ca_topic_score_codex":0.000027513677,"about_ca_topic_score_gemma":0.00012332363,"teacher_disagreement_score":0.20336561,"about_ca_system_score_codex":0.00021501172,"about_ca_system_score_gemma":0.0003483879,"threshold_uncertainty_score":0.99953824},"labels":[],"label_agreement":null},{"id":"W630241444","doi":"10.1007/978-3-7643-9911-5","title":"Combinatorial and geometric group theory : Dortmund and Ottawa-Montreal Conferences","year":2010,"lang":"en","type":"book","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"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; Free product; Free group; Automorphism; Group (periodic table); Conjugacy class; Combinatorics; Monoid; Morphism; Pure mathematics","score_opus":0.027448254819168006,"score_gpt":0.27213623649901986,"score_spread":0.24468798167985184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W630241444","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4621982,0.0027420549,0.00014668453,0.0015223677,0.0033741475,0.005595538,0.00009861321,0.0014132558,0.52290916],"genre_scores_gemma":[0.80954707,0.0005206186,0.00004671051,0.00007920037,0.0005751602,0.0000016975964,0.00044120377,0.00058930303,0.18819906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997067,0.0005243242,0.0005186708,0.00072284933,0.0006450247,0.0005221427],"domain_scores_gemma":[0.99742997,0.00088532927,0.0003364028,0.00054423115,0.00049754337,0.00030651034],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0024429394,0.00038613472,0.00053094985,0.0009621408,0.0008508663,0.0006771623,0.00075661135,0.00040749274,0.004484166],"category_scores_gemma":[0.002040691,0.0003595061,0.00007416662,0.00057766243,0.0006701333,0.00024111207,0.0012316649,0.00093268894,0.00030863474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041302163,0.00008718584,0.000055829954,0.00030152357,0.00013549166,0.00001555758,0.00030098655,4.741413e-8,0.0000022532424,0.9804414,0.016062928,0.0025554835],"study_design_scores_gemma":[0.0013287887,0.00042767407,0.0011381925,0.000058614856,0.00011313723,0.00004412902,0.00014952563,3.015863e-7,0.000009218775,0.86009073,0.13628706,0.00035262818],"about_ca_topic_score_codex":0.00004815013,"about_ca_topic_score_gemma":0.00002026221,"teacher_disagreement_score":0.34734887,"about_ca_system_score_codex":0.00014602265,"about_ca_system_score_gemma":0.00007068263,"threshold_uncertainty_score":0.9998857},"labels":[],"label_agreement":null},{"id":"W635898335","doi":"","title":"Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions (On Heegaard Splittings and Dehn surgeries of 3-manifolds, and topics related to them)","year":2001,"lang":"en","type":"article","venue":"Kyoto University Research Information Repository (Kyoto University)","topic":"Geometric and Algebraic Topology","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; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Fibered knot; Dehn surgery; Mathematics; Pure mathematics; Anatomy; Combinatorics; Physics; Biology","score_opus":0.04248598816864422,"score_gpt":0.26441946661234317,"score_spread":0.22193347844369896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W635898335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92469674,0.000010036969,0.00015515908,0.00092001696,0.0001273748,0.00067798037,0.00007406652,0.00010909838,0.07322953],"genre_scores_gemma":[0.9839303,0.00023249765,0.0010066754,0.000053585423,0.000027314263,0.0000012476859,0.00003513023,0.000013962383,0.014699308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9976764,0.00038661846,0.00044268515,0.00039260098,0.00062333106,0.00047841514],"domain_scores_gemma":[0.99639106,0.0013567945,0.00030277667,0.00047479564,0.0010882423,0.00038634436],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005309568,0.00026039287,0.00047483735,0.001621947,0.00097587355,0.0001348585,0.00037855608,0.00032413614,0.00022010178],"category_scores_gemma":[0.001008782,0.00029682755,0.00009811844,0.0020098903,0.0006382952,0.0013003851,0.0005222515,0.00047549556,0.000043774267],"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":[0.0059723672,0.00045295458,0.17663135,0.00048122584,0.0010041463,0.0009345814,0.028621424,0.000049015278,0.001340617,0.76733774,0.00794283,0.009231764],"study_design_scores_gemma":[0.009498283,0.0022577879,0.17076097,0.00092230993,0.00051984965,0.0010646001,0.24036902,0.00034899949,0.016575303,0.029591814,0.5256089,0.0024821518],"about_ca_topic_score_codex":0.0014123963,"about_ca_topic_score_gemma":0.00007455719,"teacher_disagreement_score":0.73774594,"about_ca_system_score_codex":0.00026866718,"about_ca_system_score_gemma":0.00035685144,"threshold_uncertainty_score":0.9999484},"labels":[],"label_agreement":null},{"id":"W652737649","doi":"10.1090/fic/047","title":"Geometry and Topology of Manifolds","year":2005,"lang":"en","type":"book","venue":"American Mathematical Society eBooks","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":367,"is_retracted":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; McMaster University","funders":"","keywords":"Geometry and topology; Geometry; Topology (electrical circuits); Differential topology; Mathematics; Ricci-flat manifold; Combinatorics; Curvature; Scalar curvature","score_opus":0.02035181742195571,"score_gpt":0.28161307467788416,"score_spread":0.26126125725592847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W652737649","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009691745,0.00045000887,0.010520694,0.000519887,0.00011288962,0.00069141906,0.000065032444,0.00021445777,0.97773385],"genre_scores_gemma":[0.011996627,0.00012505712,0.07823441,0.000747764,0.00043895422,0.00003842562,0.000011903768,0.00015786722,0.90824896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973562,0.00006819924,0.0009633855,0.00055331,0.00046810764,0.00059082295],"domain_scores_gemma":[0.9957871,0.0023166405,0.00089577405,0.00067367847,0.0001018572,0.00022497364],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0004893846,0.000541592,0.0018431534,0.00017527596,0.000092509945,0.000017544173,0.0004156498,0.0005650425,0.00090653857],"category_scores_gemma":[0.0003487784,0.00047296722,0.00062012405,0.0001423643,0.002963267,0.000023185677,0.00038038025,0.0006700956,0.00006931915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000769421,0.00010676629,0.000016172704,0.0008977758,0.00048592724,0.0000073242823,0.0010257222,4.6885688e-8,0.000015740901,0.9266116,0.043989513,0.026835741],"study_design_scores_gemma":[0.0003749591,0.00033243606,0.00002307661,0.00014180878,0.00042267574,0.000112491965,0.00091024727,0.000031505617,0.000054407516,0.9507623,0.046300437,0.0005337071],"about_ca_topic_score_codex":0.000013991459,"about_ca_topic_score_gemma":0.0000035364353,"teacher_disagreement_score":0.069484875,"about_ca_system_score_codex":0.00012995207,"about_ca_system_score_gemma":0.00020684508,"threshold_uncertainty_score":0.9997722},"labels":[],"label_agreement":null},{"id":"W653213499","doi":"10.1007/978-3-319-10139-2_2","title":"Fibre Metrics for Jet Bundles","year":2014,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Geometric and Algebraic Topology","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":"Jet (fluid); Computer science; Physics; Mechanics","score_opus":0.057596959992518,"score_gpt":0.2969298588131062,"score_spread":0.23933289882058817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W653213499","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00073823566,0.0012752427,0.17771168,0.00048277574,0.0016194746,0.0026246337,0.00017074602,0.00045903708,0.81491816],"genre_scores_gemma":[0.003124124,0.00029201436,0.2713175,0.00018871708,0.0010795858,0.00013362984,0.00004484392,0.00048346462,0.7233361],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965772,0.000025247893,0.0014180032,0.0006852707,0.00058357377,0.00071068516],"domain_scores_gemma":[0.99311477,0.004395153,0.0009280471,0.0011980683,0.0002045383,0.00015941093],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013932366,0.00079860864,0.0017442864,0.0012348784,0.00010841722,0.000070659,0.000791456,0.0010241589,0.00058504427],"category_scores_gemma":[0.0036556227,0.00074535026,0.0005150781,0.0002537485,0.00021730865,0.000049851475,0.00031165945,0.00069952797,0.00021463208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000749197,0.0000845573,0.000021653128,0.0023578163,0.00012322664,0.0000114243485,0.00023393732,0.0000021307617,0.0000025351244,0.98366934,0.011086729,0.0023991624],"study_design_scores_gemma":[0.00050717266,0.00011917566,0.0000044206454,0.00052047166,0.00017680285,0.000022723743,0.000036394456,0.00021061613,0.000055483437,0.785584,0.21215124,0.0006115454],"about_ca_topic_score_codex":0.000005847533,"about_ca_topic_score_gemma":0.000041858642,"teacher_disagreement_score":0.20106451,"about_ca_system_score_codex":0.00020343874,"about_ca_system_score_gemma":0.000112097216,"threshold_uncertainty_score":0.99949974},"labels":[],"label_agreement":null},{"id":"W6891684259","doi":"10.48336/77r6-3w63","title":"On compactness properties of subgroups","year":2023,"lang":"en","type":"article","venue":"Memorial University Research Repository (Memorial University)","topic":"Geometric and Algebraic Topology","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":"Memorial University of Newfoundland","funders":"","keywords":"Cohomological dimension; Locally compact space; Compact space; Profinite group; Class (philosophy); Dimension (graph theory); Isoperimetric inequality; Noncommutative harmonic analysis; Group (periodic table); Discrete group","score_opus":0.08891634506335204,"score_gpt":0.2932344231076996,"score_spread":0.20431807804434754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6891684259","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94892657,0.000009156336,0.000107427186,0.00020790474,0.0037405968,0.00051265967,0.00002097472,0.00029558904,0.046179138],"genre_scores_gemma":[0.9520003,0.000029510838,0.000095844814,0.0000033885995,0.0011612747,2.685596e-7,0.000007915651,0.000027592023,0.04667389],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9959345,0.0011763171,0.00027952666,0.0006049487,0.0011980213,0.00080668315],"domain_scores_gemma":[0.9966803,0.001433057,0.00019270898,0.0007052119,0.00067798333,0.00031072015],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012538146,0.0002585593,0.0005841096,0.0027482393,0.0009757924,0.000044521847,0.0012703728,0.00031566902,0.00008888758],"category_scores_gemma":[0.0010498447,0.00027186182,0.00025702323,0.004901309,0.0009513693,0.0003471266,0.0006900112,0.00069702143,0.00014668473],"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":[0.008897373,0.0010299379,0.0009675071,0.000516199,0.00052447215,0.0042422563,0.002488917,0.00015851895,0.0422622,0.8848113,0.05344321,0.00065810647],"study_design_scores_gemma":[0.045724098,0.010029655,0.00590439,0.0016053845,0.0011534707,0.00021866057,0.09501566,0.0018062848,0.3652407,0.11595973,0.35253274,0.0048092296],"about_ca_topic_score_codex":0.00084016233,"about_ca_topic_score_gemma":0.000059951097,"teacher_disagreement_score":0.7688516,"about_ca_system_score_codex":0.0005224623,"about_ca_system_score_gemma":0.00051994814,"threshold_uncertainty_score":0.99997336},"labels":[],"label_agreement":null},{"id":"W6902626534","doi":"10.7910/dvn/nfjiii","title":"Low stick number polygons representing all knot types through 13 crossings","year":2025,"lang":"en","type":"dataset","venue":"Harvard Dataverse","topic":"Geometric and Algebraic Topology","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":"Knot (papermaking); Vertex (graph theory); Tricolorability; Fibered knot; Crossing number (knot theory)","score_opus":0.03516716962650171,"score_gpt":0.3292942589612802,"score_spread":0.2941270893347785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6902626534","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00021259092,0.0000056409667,0.00053392944,0.000051633062,0.0015229003,0.0003598211,0.99158573,0.00015488635,0.005572873],"genre_scores_gemma":[0.00006339956,0.00020222981,0.0046225484,0.0008667439,0.0004928059,0.000028313414,0.9734864,0.000038285532,0.020199263],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99678814,0.00016043073,0.00077518704,0.0009643067,0.00049205223,0.00081989187],"domain_scores_gemma":[0.9954604,0.0012791426,0.0005328362,0.0024407704,0.00014134731,0.00014553042],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00042894148,0.00057979993,0.00091089297,0.00026013108,0.00029169116,0.00026445647,0.0012299342,0.00068148057,0.03843298],"category_scores_gemma":[0.0052997395,0.00055845134,0.00026743297,0.00063553016,0.00035117206,0.00032052,0.001533233,0.0008997626,0.029534074],"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":[0.000026628322,0.00023812326,0.000023099565,0.000638233,0.00033645972,0.00018995159,0.000086591426,0.0000010682005,0.000004370071,0.0024210394,0.99588215,0.00015230334],"study_design_scores_gemma":[0.0005743186,0.00001993427,0.000011875812,0.00027124444,0.00060387497,0.00005717346,0.00013126883,0.000008969476,0.000050820607,0.008370288,0.9893904,0.0005098387],"about_ca_topic_score_codex":0.002123571,"about_ca_topic_score_gemma":0.00022761992,"teacher_disagreement_score":0.018099315,"about_ca_system_score_codex":0.00009936134,"about_ca_system_score_gemma":0.00032302432,"threshold_uncertainty_score":0.9996867},"labels":[],"label_agreement":null},{"id":"W6904953804","doi":"10.14288/1.0225623","title":"Canadian Pacific Steamships agent's stubs","year":2016,"lang":"en","type":"article","venue":"Open Collections","topic":"Geometric and Algebraic Topology","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":"Ticket; Pacific Area; Government (linguistics); Antipodes","score_opus":0.05349711176545782,"score_gpt":0.2934373751447821,"score_spread":0.23994026337932425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6904953804","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0038702632,0.000017885042,0.0013113332,0.004457956,0.00059190026,0.0005402374,0.00007575786,0.000057583973,0.9890771],"genre_scores_gemma":[0.29974848,0.000013850111,0.00095748005,0.0000715688,0.000055258635,0.000074929514,0.0000012923646,0.000014462523,0.69906265],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99913317,0.00007366049,0.00017086294,0.00020681825,0.000090838395,0.00032467177],"domain_scores_gemma":[0.9989918,0.0003482874,0.000048498507,0.00031448973,0.000065500004,0.00023141752],"candidate_categories":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023713842,0.00009651791,0.00016220468,0.00019805632,0.0014558171,0.0002819751,0.0003418563,0.000077897144,0.009546639],"category_scores_gemma":[0.00046238097,0.00006876052,0.000046390167,0.0011998325,0.000044997774,0.00011739013,0.00008664516,0.000076509496,0.0002806695],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000041122285,0.000047398105,0.00031425516,0.0000020569169,0.00003880408,0.0000079687,0.00008190418,8.836036e-8,0.000011361384,0.018165909,0.9791989,0.0021272758],"study_design_scores_gemma":[0.00066247705,0.000085809734,0.00035362056,0.000016786598,0.000022963955,0.000041942312,0.0010444275,0.000002345747,0.000101402184,0.22767264,0.7698056,0.00018998561],"about_ca_topic_score_codex":0.16368794,"about_ca_topic_score_gemma":0.50229096,"teacher_disagreement_score":0.33860302,"about_ca_system_score_codex":0.00030027507,"about_ca_system_score_gemma":0.00043395342,"threshold_uncertainty_score":0.99984413},"labels":[],"label_agreement":null},{"id":"W6931033084","doi":"10.5281/zenodo.4167994","title":"The Kid Detective (2020) Pelicula Completa 720p -En HD Repelis Gratis espanol njs","year":2020,"lang":"es","type":"article","venue":"Zenodo (CERN European Organization for Nuclear Research)","topic":"Geometric and Algebraic Topology","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":"Object (grammar); Volunteer work; Video recording; Point (geometry)","score_opus":0.039611964499283524,"score_gpt":0.26399553056177233,"score_spread":0.2243835660624888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931033084","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20131895,0.0058045285,0.08213925,0.18243513,0.0021490525,0.00986253,0.0043631652,0.008690256,0.5032371],"genre_scores_gemma":[0.990993,0.001111258,0.0006552737,0.0008162886,0.0008435378,1.9174254e-7,0.0004508891,0.002350381,0.00277916],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9954334,0.0014762873,0.00069426105,0.00082408387,0.0007634541,0.00080849725],"domain_scores_gemma":[0.9967825,0.0005513409,0.00039327837,0.000919171,0.00089484575,0.00045888097],"candidate_categories":["metaresearch","metaepi_narrow","sts","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001178155,0.0003815825,0.00047655051,0.00020410494,0.004293961,0.0016529708,0.0021594148,0.00020305047,0.015151001],"category_scores_gemma":[0.009968969,0.00032442532,0.00019318669,0.0018195733,0.0005785028,0.00021269049,0.0027932213,0.0008884016,0.022047844],"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":[0.00026599164,0.00029883452,0.000025444338,0.00042824243,0.00055414677,0.00014940837,0.009870138,0.000034392702,0.00242924,0.14552687,0.66853845,0.17187886],"study_design_scores_gemma":[0.0008038263,0.0007168881,0.0007893287,0.00004747541,0.000113671835,0.00021946318,0.0026475994,0.0011948856,0.0005310749,0.0035447765,0.9890079,0.00038313313],"about_ca_topic_score_codex":0.00003750976,"about_ca_topic_score_gemma":0.0000013665136,"teacher_disagreement_score":0.78967404,"about_ca_system_score_codex":0.00019093731,"about_ca_system_score_gemma":0.00001751271,"threshold_uncertainty_score":0.9999208},"labels":[],"label_agreement":null},{"id":"W6931841936","doi":"10.5683/sp3/gme4zg","title":"Lac Carteret (West) Quebec. 1:50,000. Map Sheet 022F14, ed. 1, 1965","year":2022,"lang":"en","type":"dataset","venue":"Borealis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Georeference; General partnership; Raster graphics; Natural (archaeology); Geographic information system; Aerial photography; Digital mapping; Viewshed analysis","score_opus":0.02589623693902683,"score_gpt":0.2870540275075894,"score_spread":0.2611577905685626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6931841936","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000032526263,0.0007067503,0.000027614842,0.0009654128,0.0011055226,0.0004956296,0.99456996,0.00018274017,0.0019138203],"genre_scores_gemma":[0.000010099761,0.000339974,0.000300663,0.00093534944,0.00079142966,0.00021079282,0.9895788,0.0000943758,0.0077385264],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9963632,0.00030984354,0.00082293834,0.0008359963,0.0008004591,0.00086753524],"domain_scores_gemma":[0.9962985,0.00074981374,0.00055093056,0.0020380078,0.00008875827,0.00027402147],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00059678574,0.00069194316,0.0011430791,0.0006596035,0.00027180347,0.00010204277,0.001372262,0.00067137636,0.09034111],"category_scores_gemma":[0.0005913945,0.0006612175,0.00035118975,0.00046987348,0.00020700668,0.00009192402,0.0007093097,0.0010603457,0.0002092391],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020634026,0.00020233564,0.000014113569,0.00038948693,0.00017938566,0.00022518774,0.00007922802,9.784197e-7,2.8871634e-7,0.0050428663,0.9933187,0.0005268106],"study_design_scores_gemma":[0.00045798256,0.00014637057,0.000111652174,0.00003763135,0.00033804373,0.00007413945,0.0001827058,0.000001209096,0.0000021931216,0.0110074375,0.98697305,0.0006675653],"about_ca_topic_score_codex":0.26028973,"about_ca_topic_score_gemma":0.11037931,"teacher_disagreement_score":0.1499104,"about_ca_system_score_codex":0.00022587352,"about_ca_system_score_gemma":0.00028997142,"threshold_uncertainty_score":0.9995839},"labels":[],"label_agreement":null},{"id":"W6960881403","doi":"10.14288/1.0140601","title":"Landscaping at Vancouver homes","year":2003,"lang":"en","type":"other","venue":"Open Collections","topic":"Geometric and Algebraic Topology","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":"Landscaping; Work (physics)","score_opus":0.0316394980279594,"score_gpt":0.294311407255928,"score_spread":0.2626719092279686,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6960881403","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000001555556,0.0002630739,0.0005350119,0.000035320427,0.0015540157,0.0005377724,0.000053887296,0.00012218431,0.99689716],"genre_scores_gemma":[0.000006154896,0.00010888923,0.0046305717,0.00008840268,0.00015191377,0.00008301844,0.000009253169,0.000254681,0.9946671],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99910945,0.00006181781,0.00017767749,0.0002901632,0.00011763709,0.000243266],"domain_scores_gemma":[0.9991968,0.00017265795,0.00017176964,0.00036818895,0.000023630204,0.00006695257],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000108954904,0.0001953355,0.0004078402,0.0002728717,0.00077316386,0.000188743,0.00030895014,0.00026631518,0.11050579],"category_scores_gemma":[0.00019301103,0.00017875482,0.000085210006,0.0010916999,0.00004166631,0.000026387508,0.00021697076,0.00015913,0.00021898972],"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":[0.0000024079852,0.000056723235,0.000009057069,0.000025285333,0.00011037348,0.000004635737,0.000022361151,1.8634363e-7,1.7875074e-7,0.0014247305,0.9982764,0.000067634945],"study_design_scores_gemma":[0.00043801664,0.000025716585,0.0000011215977,0.000045838748,0.000063117994,0.000019805977,0.00011501322,0.0000013530753,0.000006119274,0.019707192,0.97936356,0.00021314071],"about_ca_topic_score_codex":0.0022423835,"about_ca_topic_score_gemma":0.03753502,"teacher_disagreement_score":0.1102868,"about_ca_system_score_codex":0.00011100493,"about_ca_system_score_gemma":0.000102866696,"threshold_uncertainty_score":0.98002744},"labels":[],"label_agreement":null},{"id":"W6960890929","doi":"10.1371/journal.pone.0320132.g001","title":"The evolution of Canadian dollar–denominated over-the-counter interest rate swaps, 2000–22.","year":2025,"lang":"en","type":"other","venue":"Figshare","topic":"Geometric and Algebraic Topology","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":"Interest rate; Real interest rate; Exchange-rate flexibility; Exchange rate; Monetary policy","score_opus":0.03529491855035133,"score_gpt":0.2699516033147854,"score_spread":0.23465668476443408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6960890929","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000036025376,0.0049145776,0.000006120064,0.00060494646,0.00057397666,0.000736712,0.21266003,0.0000907915,0.7803768],"genre_scores_gemma":[0.006071212,0.00003901628,0.000026380478,0.00016586813,0.00025527042,0.000091367205,0.0077528628,0.00015819825,0.98543984],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99883705,0.000116677744,0.00030492258,0.00023982539,0.00012712301,0.00037441414],"domain_scores_gemma":[0.9981081,0.0007019535,0.00035156927,0.0006332851,0.00012474437,0.00008033113],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00014195044,0.0002524346,0.0003288988,0.0007969156,0.00012865772,0.000044855857,0.0006941934,0.00039875504,0.31753924],"category_scores_gemma":[0.0029369632,0.00016056362,0.00012867054,0.000886326,0.000041321528,0.000018937153,0.00013629337,0.0003265854,0.0011737236],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003199296,0.000009507678,0.0000054510947,0.00019551809,0.00010138454,0.0000066871057,0.00003909945,1.501247e-7,6.126705e-7,0.005923201,0.993257,0.00045819415],"study_design_scores_gemma":[0.00016965502,0.000017854905,0.00028651237,0.0015327947,0.00004147878,0.000003429609,0.00011620657,0.000013717395,0.000010931415,0.0042705894,0.99337745,0.00015940929],"about_ca_topic_score_codex":0.038918544,"about_ca_topic_score_gemma":0.31278923,"teacher_disagreement_score":0.3163655,"about_ca_system_score_codex":0.00031626716,"about_ca_system_score_gemma":0.0009850087,"threshold_uncertainty_score":0.999604},"labels":[],"label_agreement":null},{"id":"W6969098545","doi":"10.5683/sp3/aze4er","title":"Isotope data and associated attributes for 25 thermokarst lakes along the Inuvik – Tuktoyaktuk Highway, 2018","year":2022,"lang":"en","type":"dataset","venue":"Borealis","topic":"Geometric and Algebraic Topology","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":"Wilfrid Laurier University","funders":"","keywords":"Thermokarst; Watershed; Snowpack; Hydrology (agriculture); Surface water; Digital elevation model; Stable isotope ratio; Drainage; Polygon (computer graphics)","score_opus":0.0770342567443743,"score_gpt":0.3135307817764117,"score_spread":0.23649652503203739,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6969098545","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00022490414,0.0011178467,0.00005796492,0.0022767317,0.00038530378,0.000954751,0.9947531,0.000093444156,0.00013593522],"genre_scores_gemma":[0.00012696598,0.0006326391,0.00011040113,0.00057718175,0.00034455158,0.00022698345,0.9972197,0.00005866852,0.0007029239],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973915,0.00028584833,0.00060300215,0.00071523606,0.00043807458,0.0005663347],"domain_scores_gemma":[0.9927053,0.0041555474,0.0006245134,0.0023159746,0.00010113888,0.000097544405],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016708646,0.00044385318,0.00079006265,0.00021367724,0.00055107375,0.00012548424,0.0021093069,0.00042108435,0.0028057508],"category_scores_gemma":[0.005406459,0.0003116128,0.00012815782,0.0004082089,0.00026780655,0.00010335415,0.0016534075,0.0005631416,0.0000055757955],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014953076,0.00012143923,0.000055747358,0.00013041224,0.0003747658,0.000016893351,0.00006562507,1.07775044e-7,7.284732e-7,0.0020240892,0.996914,0.00028118698],"study_design_scores_gemma":[0.0005800915,0.00013340104,0.00052791525,0.000031920517,0.0005423953,0.000023819348,0.00020281921,0.000025302235,0.0000017300213,0.0163697,0.98119706,0.0003638548],"about_ca_topic_score_codex":0.011390347,"about_ca_topic_score_gemma":0.03290776,"teacher_disagreement_score":0.021517416,"about_ca_system_score_codex":0.00008371817,"about_ca_system_score_gemma":0.00016276154,"threshold_uncertainty_score":0.9999336},"labels":[],"label_agreement":null},{"id":"W6977207364","doi":"10.6084/m9.figshare.12780582.v1","title":"Additional file 1 of Opening the door: midwives’ perceptions of two models of psychosocial assessment in pregnancy- a mixed methods study","year":2020,"lang":"en","type":"article","venue":"Figshare","topic":"Geometric and Algebraic Topology","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":"Psychosocial; Perception; Key (lock); Risk assessment","score_opus":0.1280950281042357,"score_gpt":0.42396558362667214,"score_spread":0.29587055552243646,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6977207364","genre_codex":"dataset","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0013833429,0.000023212615,0.00021573898,0.000098349454,0.000015693504,0.0004889947,0.9940801,0.000010381166,0.0036841524],"genre_scores_gemma":[0.6656488,0.0000010010095,0.12554328,0.000052870157,0.00008916607,0.001889555,0.20645094,0.000031663712,0.00029273005],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876857,0.00031562152,0.0004200018,0.0001612327,0.00021498022,0.00011957546],"domain_scores_gemma":[0.99571097,0.0036202562,0.00033397594,0.0001782084,0.00012361369,0.000032956807],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00009675975,0.00009607963,0.00033355228,0.00008337261,0.00003771378,0.00000449126,0.00029163616,0.000050891824,0.94073343],"category_scores_gemma":[0.0029729689,0.000076033226,0.00010929355,0.0005152193,0.000024381297,0.00006378039,0.0001650304,0.00017875813,0.000021670146],"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":[0.0000064170636,0.00035824344,0.00001976582,0.00014966525,0.000059942075,0.0000016018846,0.0035372293,0.00006679801,0.000026525247,0.00071680313,0.99283355,0.0022234262],"study_design_scores_gemma":[0.015684973,0.0055874074,0.3001436,0.031538922,0.0006655607,0.000038694863,0.1782736,0.04599317,0.0010572927,0.36384776,0.05469178,0.0024772163],"about_ca_topic_score_codex":0.0000075850107,"about_ca_topic_score_gemma":0.000015950696,"teacher_disagreement_score":0.9407118,"about_ca_system_score_codex":0.000014739815,"about_ca_system_score_gemma":0.00012895215,"threshold_uncertainty_score":0.3559136},"labels":[],"label_agreement":null},{"id":"W6981776530","doi":"","title":"Expressão da dor, ansiedade e depressão em doentes com lombalgias recorrentes","year":2016,"lang":"pt","type":"dissertation","venue":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","topic":"Geometric and Algebraic Topology","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":"Anxiety; Depression (economics); Beck Depression Inventory; McGill Pain Questionnaire; Beck Anxiety Inventory","score_opus":0.08293733856139587,"score_gpt":0.3970749894122674,"score_spread":0.31413765085087153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6981776530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89098704,0.04045265,0.009848745,0.0065015354,0.0059320303,0.015095152,0.0052486053,0.0016034065,0.024330826],"genre_scores_gemma":[0.90938896,0.006131569,0.002696997,0.000047289486,0.0003361848,0.002519003,0.0013607204,0.00018894498,0.07733036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9871127,0.00027610152,0.0017268078,0.0029497063,0.004627183,0.003307509],"domain_scores_gemma":[0.9878477,0.0040706466,0.0010955144,0.0010498319,0.005366955,0.00056935893],"candidate_categories":["metaresearch","metaepi_narrow","bibliometrics","sts","research_integrity"],"consensus_categories":["sts"],"category_scores_codex":[0.009741106,0.0010342865,0.0013172934,0.01286188,0.0034696043,0.0006542437,0.0036928467,0.001660567,0.0003421313],"category_scores_gemma":[0.022980941,0.00086182123,0.00029828312,0.009792712,0.004730034,0.0009727017,0.0011609339,0.0020784216,0.00012116702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011586258,0.004221943,0.024402943,0.003916648,0.001208576,0.00013871277,0.004564487,7.5729463e-7,0.04783919,0.47740775,0.12575857,0.3093818],"study_design_scores_gemma":[0.0064683207,0.0055579664,0.0031573153,0.0033989577,0.0003390111,0.0004440512,0.018319348,0.0017114443,0.060344554,0.87233955,0.024194844,0.003724618],"about_ca_topic_score_codex":0.00011241673,"about_ca_topic_score_gemma":0.000047574133,"teacher_disagreement_score":0.39493182,"about_ca_system_score_codex":0.0006079833,"about_ca_system_score_gemma":0.0035355634,"threshold_uncertainty_score":0.99963546},"labels":[],"label_agreement":null},{"id":"W6982546979","doi":"","title":"Integrated soil fertility management research at TSBF: the framework, the principles, and their application","year":2003,"lang":"en","type":"other","venue":"CGSPace A Repository of Agricultural Research Outputs (Consultative Group for International Agricultural Research)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Australian Centre for International Agricultural Research; International Fund for Agricultural Development; Ministry of Environment; Department for International Development; European Commission; Commonwealth Scientific and Industrial Research Organisation; International Development Research Centre; University of Reading; Styrelsen för Internationellt Utvecklingssamarbete; Consortium of International Agricultural Research Centers; Ford Foundation","keywords":"Soil fertility; Agriculture; Soil management; Fertility; Crop production; Agricultural productivity; Population; Production (economics); Irrigation management","score_opus":0.09234182607139309,"score_gpt":0.3694059729470942,"score_spread":0.27706414687570113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6982546979","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33444116,0.014841896,0.0019594014,0.04422072,0.0027124942,0.033231277,0.0018370029,0.00059079466,0.56616527],"genre_scores_gemma":[0.2255375,0.00094814965,0.001576936,0.000032004926,0.0007444702,0.0027774386,0.00039331778,0.00017967814,0.7678105],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.98779416,0.0041969544,0.0010243772,0.0015215352,0.0038039067,0.0016590805],"domain_scores_gemma":[0.9732974,0.01671958,0.0006981625,0.001035625,0.007865318,0.0003838771],"candidate_categories":["metaresearch","metaepi_narrow","sts","research_integrity"],"consensus_categories":["sts"],"category_scores_codex":[0.009696405,0.00072215026,0.00081511284,0.00093129935,0.0023066434,0.00045342094,0.0028112908,0.0007327846,0.00017988785],"category_scores_gemma":[0.013757504,0.00029639737,0.00038633504,0.003055174,0.0044785873,0.00019714962,0.0020510273,0.0035569584,0.000097129894],"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":[0.0003490902,0.00044762786,0.00016607015,0.0005065099,0.0012875942,0.00000914493,0.0029609406,0.0000029861164,0.004166504,0.25171423,0.7362982,0.0020911247],"study_design_scores_gemma":[0.0013225549,0.0006608451,0.03896333,0.0011332276,0.00008975036,0.00011033486,0.053931784,0.000042261585,0.004039451,0.040903736,0.8580418,0.0007609292],"about_ca_topic_score_codex":0.0012534267,"about_ca_topic_score_gemma":0.0017259611,"teacher_disagreement_score":0.21081048,"about_ca_system_score_codex":0.0014012312,"about_ca_system_score_gemma":0.00015791199,"threshold_uncertainty_score":0.9999488},"labels":[],"label_agreement":null},{"id":"W6986765051","doi":"","title":"Ramon Ferran PagÃ¨s, pedagog i artista","year":2015,"lang":"es","type":"article","venue":"RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya)","topic":"Geometric and Algebraic Topology","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":"The arts; Context (archaeology); White (mutation)","score_opus":0.06566338510491183,"score_gpt":0.31440025985916636,"score_spread":0.24873687475425454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6986765051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95641863,0.018581908,0.0015536334,0.0053476566,0.0009967313,0.0016124229,0.0011367167,0.00073090906,0.013621381],"genre_scores_gemma":[0.9658002,0.001982542,0.003078835,0.00077402673,0.00071200385,0.00002831507,0.0017447501,0.00029794293,0.025581364],"study_design_codex":"observational","study_design_gemma":"not_applicable","domain_scores_codex":[0.99219304,0.0008891641,0.0014746719,0.0017455136,0.0010545226,0.0026430772],"domain_scores_gemma":[0.9917665,0.0016755825,0.0011781194,0.0025665564,0.00077426276,0.002038971],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0018374727,0.0015371024,0.00210665,0.001273825,0.00067280483,0.0005650182,0.002456702,0.0013752874,0.0012933684],"category_scores_gemma":[0.0021991422,0.0017006014,0.00086136657,0.0021551729,0.00091355655,0.0011243919,0.0013067585,0.0015180539,0.001773671],"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":[0.0019049956,0.0035993098,0.42635193,0.007305717,0.0040547517,0.0075563323,0.022227162,0.00060543005,0.0015069508,0.14775586,0.36032483,0.016806705],"study_design_scores_gemma":[0.019399676,0.003121294,0.0969547,0.0026183971,0.009261456,0.006688696,0.07858101,0.0064998595,0.004842462,0.02505738,0.7368289,0.01014611],"about_ca_topic_score_codex":0.005121342,"about_ca_topic_score_gemma":0.00060569245,"teacher_disagreement_score":0.37650412,"about_ca_system_score_codex":0.0020094924,"about_ca_system_score_gemma":0.0017372589,"threshold_uncertainty_score":0.99992114},"labels":[],"label_agreement":null},{"id":"W6989931943","doi":"","title":"Classifying cubulations of tubular groups","year":2017,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"McGill University","keywords":"","score_opus":0.049822604997866435,"score_gpt":0.3069699816974399,"score_spread":0.25714737669957344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6989931943","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78065616,0.00033152342,0.000002240812,0.000021060649,0.0017012609,0.0006191942,0.00050340354,0.0002123245,0.21595283],"genre_scores_gemma":[0.96552134,0.00014603852,0.002539227,0.000039767183,0.00009630252,0.00009343438,0.0005953409,0.00022893396,0.03073962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99558115,0.00028566943,0.0014241552,0.0009798026,0.00093330396,0.0007958966],"domain_scores_gemma":[0.9944762,0.00093120866,0.0019928264,0.0017228991,0.00058433274,0.0002925127],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010919969,0.00079729897,0.0014291938,0.0010027208,0.0015221671,0.00007090905,0.0012558261,0.0013778555,0.001048264],"category_scores_gemma":[0.0055277003,0.00083338364,0.0006398975,0.0005954461,0.00016069808,0.00052024616,0.00016158135,0.0015514554,0.00023667884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000073417905,0.0003288361,0.00008910402,0.0009928778,0.0004326223,0.000057741723,0.00002004572,0.000004503059,0.01076648,0.9397376,0.000044976867,0.047451776],"study_design_scores_gemma":[0.0012661559,0.0002043226,0.0029932042,0.00075723126,0.0008049513,0.00005027448,0.00047057844,0.000020135472,0.035690695,0.91317517,0.04326025,0.0013070254],"about_ca_topic_score_codex":0.00014010111,"about_ca_topic_score_gemma":0.0006083127,"teacher_disagreement_score":0.18521321,"about_ca_system_score_codex":0.00030812054,"about_ca_system_score_gemma":0.000096084324,"threshold_uncertainty_score":0.9999186},"labels":[],"label_agreement":null},{"id":"W7005615752","doi":"","title":"Relative hyperbolicity of graphs of free groups with cyclic edge groups","year":2006,"lang":"en","type":"other","venue":"Library and Archives Canada (Government of Canada)","topic":"Geometric and Algebraic Topology","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":"Cyclic group; Graph; Vertex (graph theory); Complement graph; Finitely-generated abelian group; Vertex-transitive graph; Symmetric graph; Connectivity","score_opus":0.004910053484600499,"score_gpt":0.15758631521093372,"score_spread":0.15267626172633322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7005615752","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034773417,0.00089074497,0.00022546486,0.00037272752,0.00012761507,0.0002962729,0.0010086676,0.000018124592,0.96228695],"genre_scores_gemma":[0.7244784,0.00018869663,0.004548064,0.00016891332,0.00009324012,0.000010946366,0.000024137107,0.00021681846,0.27027076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974591,0.00008194484,0.00047792713,0.00029174951,0.0013901085,0.00029917908],"domain_scores_gemma":[0.9979803,0.0005967492,0.00081373047,0.00046076652,0.0000011245859,0.00014733592],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0000150362885,0.00033007303,0.0008268823,0.0001415303,0.000046566303,0.0000034683578,0.00039765573,0.000108086795,0.00011965871],"category_scores_gemma":[0.000014104441,0.00027519325,0.000066395885,0.00024572818,0.0003491481,0.0000935252,0.0001834167,0.000219602,1.6587405e-9],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016319368,0.00010391831,0.0112469895,0.0009284336,0.0003966422,0.00004030754,0.00006986029,0.000001574332,0.000437195,0.9285521,0.05752324,0.0005365653],"study_design_scores_gemma":[0.00589092,0.0014616915,0.09010959,0.003066257,0.0010489522,0.0000688028,0.0047117313,0.00007856345,0.07265158,0.70999414,0.10832628,0.0025915257],"about_ca_topic_score_codex":0.015732963,"about_ca_topic_score_gemma":0.106696285,"teacher_disagreement_score":0.6920162,"about_ca_system_score_codex":0.0000056232675,"about_ca_system_score_gemma":0.00070868985,"threshold_uncertainty_score":0.99997},"labels":[],"label_agreement":null},{"id":"W7017828356","doi":"","title":"C&lt;super&gt;0&lt;/super&gt;Rigidity in Hofer Geometry and Floer Theory","year":2012,"lang":"en","type":"dissertation","venue":"eScholarship (California Digital Library)","topic":"Geometric and Algebraic Topology","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":"Symplectic geometry; Floer homology; Hamiltonian system; Hamiltonian (control theory); Covariant Hamiltonian field theory; Rigidity (electromagnetism); Superintegrable Hamiltonian system","score_opus":0.019168534824533005,"score_gpt":0.24675250186993697,"score_spread":0.22758396704540396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7017828356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93243134,0.004531878,0.00004790614,0.00018716887,0.0009293007,0.00081860827,0.0023996586,0.00043666796,0.05821745],"genre_scores_gemma":[0.96323967,0.00021567874,0.00083324796,0.00033755542,0.0006670069,0.00011174095,0.00497464,0.00040421644,0.029216236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944703,0.0004230349,0.0014608994,0.0012494294,0.0008941943,0.00150212],"domain_scores_gemma":[0.99581736,0.0018669906,0.00046194947,0.0010291939,0.00010159274,0.00072289666],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001071941,0.0012243276,0.0015202177,0.0017720727,0.00024941372,0.0009781125,0.0010008757,0.0017056614,0.004950563],"category_scores_gemma":[0.002905654,0.0011100207,0.00045947818,0.0017352082,0.000266561,0.0039040637,0.00043085107,0.0020758153,0.0025326556],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023473178,0.0050719017,0.39459094,0.005835879,0.0014378547,0.0006172631,0.0026278684,0.0000016503502,0.0009495725,0.46013778,0.040609498,0.08577246],"study_design_scores_gemma":[0.0024933638,0.000272133,0.1269758,0.0007670137,0.0003741646,0.00010856889,0.0008206184,0.000010224767,0.0014122159,0.6095807,0.25413346,0.0030517308],"about_ca_topic_score_codex":0.000005531676,"about_ca_topic_score_gemma":0.000026276524,"teacher_disagreement_score":0.26761514,"about_ca_system_score_codex":0.00010607834,"about_ca_system_score_gemma":0.00028301086,"threshold_uncertainty_score":0.99959034},"labels":[],"label_agreement":null},{"id":"W7022127060","doi":"","title":"Kapak-İçindekiler","year":2013,"lang":"tr","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Geometric and Algebraic Topology","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":"Technical university; Research method; Middle East; Statistical analysis","score_opus":0.32164744563354125,"score_gpt":0.5637395856024204,"score_spread":0.24209213996887918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022127060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9026332,0.0351515,0.0009230908,0.0014583629,0.0030072744,0.0019040207,0.000097634205,0.00011061649,0.05471431],"genre_scores_gemma":[0.9686214,0.011150045,0.0015723885,0.00094020326,0.0008523899,0.00011712293,0.000013283366,0.0002061016,0.016527086],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.99304616,0.0005514813,0.0025514828,0.001004196,0.0014539937,0.0013926772],"domain_scores_gemma":[0.99216896,0.0018611231,0.0026387905,0.0013365573,0.0010781317,0.00091641163],"candidate_categories":["metaepi_narrow","scholarly_communication","open_science","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0021865224,0.000942903,0.0024002723,0.002570556,0.0005232697,0.0031584653,0.0067041684,0.0006328383,0.31165466],"category_scores_gemma":[0.00222405,0.00084527815,0.0006654762,0.0033227005,0.00057638343,0.0037773522,0.0031968686,0.00140106,0.0023827103],"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":[0.00009497725,0.0014168145,0.24987924,0.0005591646,0.001140039,0.000084024614,0.00064733863,0.00001657229,0.0064280457,0.008215513,0.703335,0.0281833],"study_design_scores_gemma":[0.0017950172,0.00005162794,0.6140686,0.0009690889,0.00056984596,0.0001130535,0.0007658449,0.00014377452,0.0056636645,0.33194575,0.042375833,0.0015378433],"about_ca_topic_score_codex":0.0023456635,"about_ca_topic_score_gemma":0.00004674229,"teacher_disagreement_score":0.6609591,"about_ca_system_score_codex":0.00020602994,"about_ca_system_score_gemma":0.00034968622,"threshold_uncertainty_score":0.9993998},"labels":[],"label_agreement":null},{"id":"W7022336391","doi":"","title":"Book Reviews","year":2008,"lang":"en","type":"article","venue":"DigitalCommons (California Polytechnic State University)","topic":"Geometric and Algebraic Topology","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":"Government (linguistics); Context (archaeology); George (robot)","score_opus":0.040539186774669084,"score_gpt":0.24809680214479418,"score_spread":0.2075576153701251,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022336391","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.077137776,0.011318682,0.06985394,0.0030124336,0.00048211365,0.00232564,0.0010658127,0.002811964,0.8319917],"genre_scores_gemma":[0.6600379,0.016529236,0.014371662,0.003766695,0.00022086059,0.000018798868,0.00017312203,0.00021459181,0.30466717],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984334,0.000080374164,0.00037833868,0.0003650992,0.00020789733,0.00053485506],"domain_scores_gemma":[0.9985607,0.00029815972,0.00021731661,0.00064292416,0.000055352662,0.00022551879],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015445627,0.00028272264,0.0005058051,0.00079065986,0.0002679799,0.000016792625,0.0005560526,0.00012569889,0.0005885595],"category_scores_gemma":[0.00028141635,0.00027439298,0.0002809177,0.0013820908,0.00035202602,0.0002788834,0.00026879672,0.00026794043,0.00092578627],"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":[0.00007242087,0.0004935333,0.0025186366,0.000081535865,0.00012665632,0.00090500683,0.00017177612,0.0000029764922,0.00006955428,0.1167863,0.86215556,0.01661607],"study_design_scores_gemma":[0.00048430968,0.00007281765,0.00017800416,0.00002621307,0.00003307891,0.00015959235,0.000055035824,0.000012238407,0.00018533065,0.008247761,0.990227,0.00031866287],"about_ca_topic_score_codex":0.000021489468,"about_ca_topic_score_gemma":0.000011328667,"teacher_disagreement_score":0.5829001,"about_ca_system_score_codex":0.00013951892,"about_ca_system_score_gemma":0.0000787691,"threshold_uncertainty_score":0.99997085},"labels":[],"label_agreement":null},{"id":"W7022555461","doi":"","title":"Editorial","year":2000,"lang":"en","type":"article","venue":"Canadian acoustics","topic":"Geometric and Algebraic Topology","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":"","score_opus":0.01637709505933184,"score_gpt":0.25301795691124834,"score_spread":0.23664086185191652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7022555461","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5269232,0.00015271395,0.0024222608,0.002368714,0.1655979,0.00045287915,0.00022907561,0.00031663437,0.30153665],"genre_scores_gemma":[0.9005573,0.000022704038,0.0031958793,0.0006982353,0.07228455,0.000005671793,0.0000091744405,0.00003137959,0.023195097],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992507,0.000014708989,0.00012938278,0.00012136037,0.0001229034,0.00036096253],"domain_scores_gemma":[0.999222,0.00013764019,0.000018144883,0.000203872,0.000044186556,0.00037415995],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0000991924,0.000086890686,0.000120263176,0.00013429107,0.00009382127,0.000018366896,0.00015332211,0.0001478233,0.0077022268],"category_scores_gemma":[0.0003852607,0.00008712129,0.000033188975,0.00023764599,0.000054793505,0.000025322632,0.0000055999153,0.000144775,0.0007123248],"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":[0.0000016888123,0.000008015425,0.0000468141,0.0000054033653,0.00000798262,0.000014752611,0.00005347466,0.000009948616,0.000030690007,0.011589257,0.9809295,0.00730248],"study_design_scores_gemma":[0.00026415632,0.000035920748,0.0007799413,0.000004460578,0.000033573713,0.000016075943,0.000062964005,0.000103565304,0.0000054256275,0.111211196,0.8873014,0.00018133779],"about_ca_topic_score_codex":0.007762461,"about_ca_topic_score_gemma":0.0038179778,"teacher_disagreement_score":0.37363413,"about_ca_system_score_codex":0.00009966326,"about_ca_system_score_gemma":0.00031033688,"threshold_uncertainty_score":0.9988449},"labels":[],"label_agreement":null},{"id":"W7023659637","doi":"","title":"Planning law and developing needs, an artificial paradox : a study on traditional and participatory planning in the south","year":2001,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"Context (archaeology); Public participation; Participatory planning; Face (sociological concept); Citizen journalism; Financial plan; Process (computing); Work (physics); Land-use planning","score_opus":0.1759013623743963,"score_gpt":0.3423740393818381,"score_spread":0.16647267700744178,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023659637","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98748064,0.00013801917,0.0000013956645,0.000021112513,0.00030468075,0.00076012744,0.00010237162,0.00009105227,0.011100575],"genre_scores_gemma":[0.99859345,0.0000053847416,0.00029419924,0.00042155723,0.0000897277,0.00018542951,0.00016315043,0.00008502275,0.00016205558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964849,0.00067437167,0.0008351901,0.0007351553,0.0006360259,0.0006344013],"domain_scores_gemma":[0.99769306,0.0012770719,0.00040046553,0.00038171388,0.00006971309,0.00017796231],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0017335601,0.0005725545,0.0007022327,0.000734972,0.0011107699,0.00013200681,0.00034376475,0.00046184214,0.000028431497],"category_scores_gemma":[0.0006935942,0.00049591466,0.00007727328,0.00071149453,0.00010466617,0.0003125705,0.000041302195,0.0014011635,0.000010287998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000313934,0.0008018161,0.0015806855,0.00016897009,0.00016616947,0.00042199416,0.005282662,0.000025395408,0.0001972127,0.98504275,0.0000033821782,0.005995051],"study_design_scores_gemma":[0.0020077918,0.0012879531,0.041736394,0.0007982417,0.00040003663,0.00014936367,0.1440266,0.000036396552,0.0008414007,0.80591834,0.001301652,0.0014958015],"about_ca_topic_score_codex":0.00007106493,"about_ca_topic_score_gemma":0.0003149679,"teacher_disagreement_score":0.17912437,"about_ca_system_score_codex":0.00012805247,"about_ca_system_score_gemma":0.00004326342,"threshold_uncertainty_score":0.99974924},"labels":[],"label_agreement":null},{"id":"W7023954061","doi":"","title":"Qualitative Research in the <i>CJA/RCV</i>: An 18-Year Analysis (1995–2012)","year":2016,"lang":"en","type":"article","venue":"Project Muse (Johns Hopkins University)","topic":"Geometric and Algebraic Topology","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":"Qualitative research; Qualitative analysis; Research methodology; Data collection; Research design","score_opus":0.1767487708456645,"score_gpt":0.4063448611053946,"score_spread":0.22959609025973007,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7023954061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5381329,0.0000036263673,0.006163855,0.0021391846,0.000099687015,0.000858017,0.00007445653,0.00014851562,0.45237976],"genre_scores_gemma":[0.99264044,0.004796839,0.0019540389,0.000077465025,0.00008214776,0.0000069181556,0.000008778868,0.00002413164,0.00040922826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9949424,0.0029252889,0.00028098963,0.0005533069,0.00061577425,0.00068222603],"domain_scores_gemma":[0.99497926,0.0036912984,0.00013652482,0.0008466597,0.00024669376,0.00009954007],"candidate_categories":["bibliometrics"],"consensus_categories":["bibliometrics"],"category_scores_codex":[0.0034658848,0.00021606525,0.00041131425,0.025376454,0.0002504606,0.00004256467,0.0010173406,0.00018122976,0.0003502097],"category_scores_gemma":[0.000725238,0.00013938265,0.00019804525,0.03595189,0.000392502,0.00049676874,0.00024499022,0.00041097714,0.00010190535],"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":[0.00053196755,0.0020427576,0.005574785,0.00011914108,0.0013069941,0.0006747553,0.21784002,0.0000036796494,0.00003658532,0.73800594,0.006024383,0.027839012],"study_design_scores_gemma":[0.0021278337,0.00049699214,0.0009892911,0.000043392614,0.000392063,0.000009222071,0.07264888,0.000028445465,0.00009377381,0.0036993332,0.9190262,0.00044456977],"about_ca_topic_score_codex":0.02126866,"about_ca_topic_score_gemma":0.02647565,"teacher_disagreement_score":0.91300184,"about_ca_system_score_codex":0.00022808829,"about_ca_system_score_gemma":0.00029748908,"threshold_uncertainty_score":0.99128866},"labels":[],"label_agreement":null},{"id":"W7024497046","doi":"","title":"SA - Nurses Union President Tracy Zambory - Nov 10","year":2020,"lang":"en","type":"other","venue":"Bulletin of Miscellaneous Information (Royal Gardens Kew)","topic":"Geometric and Algebraic Topology","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":"Trade union; Government (linguistics)","score_opus":0.011946231494205171,"score_gpt":0.22218784002465905,"score_spread":0.21024160853045387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024497046","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00004587915,0.00041994356,0.000004392384,0.00045797805,0.0005112204,0.00055883476,0.0001333188,0.0003353609,0.9975331],"genre_scores_gemma":[0.00057537726,0.00018004955,0.0025409786,0.00023999804,0.00032780916,0.000017407234,0.00013717917,0.00017933086,0.99580187],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99780977,0.00014145015,0.000883891,0.00027476187,0.0005220838,0.00036805624],"domain_scores_gemma":[0.9979184,0.00039397398,0.0009334879,0.0004637513,0.000114938965,0.00017542923],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002483115,0.00044071028,0.0007026877,0.00017867486,0.000060502472,0.00004078858,0.00046078576,0.0005784168,0.7066491],"category_scores_gemma":[0.0007902559,0.00042224326,0.00023178755,0.000023305494,0.00017721183,2.519667e-7,0.00012245029,0.0003654086,0.017976586],"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":[0.0000439999,0.00008258887,0.0000014986094,0.0008674712,0.00011019144,0.000027189752,0.00024497046,0.000010183601,1.7454649e-7,0.0009922596,0.9945942,0.0030252305],"study_design_scores_gemma":[0.0005916546,0.00018299994,0.000011075627,0.0002163145,0.00013262029,0.00006943929,0.0001847186,0.000005778375,0.000011824621,0.0004226241,0.99777573,0.00039520266],"about_ca_topic_score_codex":0.0019306855,"about_ca_topic_score_gemma":0.00046666624,"teacher_disagreement_score":0.68867254,"about_ca_system_score_codex":0.000046142282,"about_ca_system_score_gemma":0.00005472618,"threshold_uncertainty_score":0.9998229},"labels":[],"label_agreement":null},{"id":"W7024629339","doi":"","title":"Search for a light charged Higgs boson in t → H±b decays, with H± → cb, in the lepton+jets final state in proton-proton collisions at √s = 13 TeV with the ATLAS detector","year":2023,"lang":"en","type":"article","venue":"UCL Discovery (University College London)","topic":"Geometric and Algebraic Topology","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":"Nuclear Physics; Universitetet i Oslo; Universidade Federal do Rio de Janeiro; Royal Holloway, University of London; Universidade Federal de São João del-Rei; Agencia Nacional de Investigación y Desarrollo; Sorbonne Université; College of Engineering, Michigan State University; Shanghai Key Laboratory for Particle Physics and Cosmology; Universidade Federal de Juiz de Fora; State Key Laboratory of Particle Detection and Electronics; Universität Innsbruck; University of Science and Technology of China; Universidade do Minho; Akademia Górniczo-Hutnicza im. Stanislawa Staszica; Centre National pour la Recherche Scientifique et Technique; Univerza v Ljubljani; Universidad de Tarapacá; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Univerzita Palackého v Olomouci; Université Paris-Saclay; High Energy Accelerator Research Organization; Universidade de Lisboa; Institut National de Physique Nucléaire et de Physique des Particules; Université de Genève; United Arab Emirates University; Israel Science Foundation; Department of Physics and Astronomy, University College London; Universiteit van Amsterdam; Université de Fribourg; Japan Society for the Promotion of Science; Universidade de Coimbra; Universidade de São Paulo; Scottish Universities Physics Alliance; National Tsing Hua University; CERN; Ministry of Education, India; Shanghai Jiao Tong University; Università degli Studi di Pavia; Ministerstvo Školství, Mládeže a Tělovýchovy; Università di Pisa; Universidad Autónoma de Madrid; Consejo Nacional de Investigaciones Científicas y Técnicas; Sapienza Università di Roma; Centre National de la Recherche Scientifique; Max-Planck-Gesellschaft; Akademie Věd České Republiky; Bundesministerium für Wissenschaft, Forschung und Wirtschaft; Aix-Marseille Université; Ohio State University; České Vysoké Učení Technické v Praze; National Natural Science Foundation of China; Fundação de Amparo à Pesquisa do Estado de São Paulo; Abdus Salam International Centre for Theoretical Physics; Universität Heidelberg; Agencia Nacional de Promoción Científica y Tecnológica; Justus Liebig Universität Gießen; University of Oxford; Danmarks Grundforskningsfond; Albert-Ludwigs-Universität Freiburg; University College London; University of Pennsylvania; Austrian Science Fund; University of Glasgow; York University; Louisiana Tech University; Lunds Universitet; Université Grenoble Alpes; New York University Abu Dhabi; Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology; University of Oregon; Instituto Superior Técnico; Bundesministerium für Bildung und Forschung; Universidad de Granada; University of Pittsburgh; Iowa State University; Pontificia Universidad Católica de Chile; Università degli Studi di Trento; Universidad Nacional de La Plata; Michigan State University; Shandong University; Universidad Técnica Federico Santa María; Georg-August-Universität Göttingen; Univerzita Karlova v Praze; McGill University; Harvard University; Queen Mary University of London; University of Oklahoma; Università degli Studi di Napoli Federico II; Northern Illinois University; Radboud Universiteit; Fundação para a Ciência e a Tecnologia; University of Washington; Ludwig-Maximilians-Universität München; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Institut \"Jožef Stefan\"; Oklahoma State University","keywords":"Higgs boson; Large Hadron Collider; Top quark; Atlas (anatomy); Muon; Boson; Branching fraction; ATLAS experiment; Hadron; Elementary particle","score_opus":0.030392812031559437,"score_gpt":0.2544506804132884,"score_spread":0.22405786838172895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024629339","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.986776,0.000025029653,0.00044671784,0.0048897965,0.000040239698,0.0071035386,0.0003536016,0.000054515524,0.0003105931],"genre_scores_gemma":[0.99103934,0.000039028888,0.00025117781,0.00006849683,0.00002238718,0.00032562792,0.000028898332,0.00003808577,0.008186937],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9974843,0.00037586363,0.0002561864,0.0005513274,0.0005309898,0.00080132094],"domain_scores_gemma":[0.9977194,0.001437262,0.00015070054,0.00052760396,0.000081216494,0.00008379574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000919383,0.0003109826,0.00048766198,0.0009612006,0.0004574727,0.000054129207,0.00075391174,0.00013950425,0.00005921645],"category_scores_gemma":[0.00010942801,0.00019642114,0.00010622868,0.0046896352,0.00022974068,0.0004615803,0.00030352478,0.0004977579,0.000039735685],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.025248049,0.0029565687,0.80920935,0.0018845644,0.00043508154,0.0056261686,0.055712905,0.0022131058,0.0018359539,0.07415132,0.020127323,0.00059963134],"study_design_scores_gemma":[0.109766655,0.013218051,0.4798172,0.0028565933,0.0006466181,0.00056769454,0.20084439,0.021400005,0.061907694,0.026000079,0.07716198,0.0058130394],"about_ca_topic_score_codex":0.0008838333,"about_ca_topic_score_gemma":0.013764836,"teacher_disagreement_score":0.32939214,"about_ca_system_score_codex":0.00041850802,"about_ca_system_score_gemma":0.00038635518,"threshold_uncertainty_score":0.8009822},"labels":[],"label_agreement":null},{"id":"W7024642605","doi":"","title":"STAT3 ist signifikant erhöht in hypoplastischen Lungen und potenzieller therapeutischer Angriffspunkt bei angeborener Zwerchfellhernie","year":2024,"lang":"de","type":"other","venue":"Qucosa (Saxon State and University Library Dresden)","topic":"Geometric and Algebraic Topology","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 Institutes of Health Research; University of Manitoba","keywords":"Pulmonary hypertension; Lung disease; Porcine circovirus; Pressure overload","score_opus":0.019266854104204634,"score_gpt":0.23376920813856128,"score_spread":0.21450235403435663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024642605","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08658907,0.20459138,0.0017902779,0.0070255473,0.003652753,0.003671044,0.0065490296,0.0009291734,0.6852017],"genre_scores_gemma":[0.015378708,0.026936242,0.0022703689,0.00058589544,0.0005733343,0.000005962605,0.00043832825,0.00066939037,0.95314175],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9948522,0.0006983847,0.0008036896,0.0017093978,0.0005995079,0.0013368613],"domain_scores_gemma":[0.9974406,0.0005557236,0.00049056206,0.00087667437,0.000052582927,0.0005838999],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00032460666,0.0012623979,0.0015328943,0.002097449,0.00022925406,0.0003397619,0.0008869087,0.0012084984,0.014388899],"category_scores_gemma":[0.00003342757,0.0012293764,0.00038145008,0.0016386907,0.00070842396,0.0008431171,0.0010465109,0.0016801861,0.0043906495],"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":[0.0013565882,0.001355182,0.0062172674,0.0027919544,0.006930567,0.009825645,0.009833281,0.000025041176,0.00009707442,0.04285506,0.87215173,0.046560626],"study_design_scores_gemma":[0.002274096,0.00036329232,0.0013706106,0.00059837935,0.0012507387,0.000015237937,0.00224541,0.00009732681,0.000096495605,0.015467834,0.9747733,0.0014472787],"about_ca_topic_score_codex":0.0007410016,"about_ca_topic_score_gemma":0.000960799,"teacher_disagreement_score":0.26794004,"about_ca_system_score_codex":0.00014636027,"about_ca_system_score_gemma":0.00048376332,"threshold_uncertainty_score":0.9990156},"labels":[],"label_agreement":null},{"id":"W7024704412","doi":"","title":"18 September 2018 photos - Birds","year":2018,"lang":"en","type":"other","venue":"Bulletin of Miscellaneous Information (Royal Gardens Kew)","topic":"Geometric and Algebraic Topology","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":"Photography; Line drawings; Photojournalism","score_opus":0.015083981891491833,"score_gpt":0.22867601043292657,"score_spread":0.21359202854143475,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024704412","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00005612434,0.00015607764,0.0000026319522,0.000057365316,0.0006984934,0.00048642233,0.00010899418,0.00034983124,0.99808407],"genre_scores_gemma":[0.00013613584,0.00008416314,0.0039265407,0.00023390945,0.00046281994,0.000020168241,0.00006665523,0.00022680877,0.9948428],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99790996,0.00008346708,0.0008152899,0.00026489256,0.00048770593,0.00043867977],"domain_scores_gemma":[0.99790347,0.0002679246,0.00088346534,0.0006319234,0.00016430608,0.00014890755],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00030681046,0.00045025127,0.0006857792,0.00022216132,0.00006725314,0.00003571457,0.00045665464,0.0007411593,0.9421531],"category_scores_gemma":[0.00038585832,0.00041517557,0.00024195261,0.000021566562,0.00031726423,1.4998719e-7,0.00015232667,0.00025748616,0.1118792],"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":[0.00002912649,0.00006696899,0.0000025246038,0.000584364,0.00012982967,0.000012745849,0.00005640378,0.0000012421341,1.3255331e-7,0.00021769949,0.99838555,0.00051342056],"study_design_scores_gemma":[0.00055751903,0.0001801613,0.0000021756387,0.0001981457,0.00010356289,0.00010386679,0.00007137587,0.000004068795,0.000015565945,0.00055365986,0.9977919,0.0004180338],"about_ca_topic_score_codex":0.0014976809,"about_ca_topic_score_gemma":0.00062620704,"teacher_disagreement_score":0.83027387,"about_ca_system_score_codex":0.00004822384,"about_ca_system_score_gemma":0.000043973476,"threshold_uncertainty_score":0.99983},"labels":[],"label_agreement":null},{"id":"W7024966104","doi":"","title":"Suomalaista alttoviulumusiikkia : Alttoviulumusiikin kehitys ja sen kasvu Euroopassa sekä Suomessa","year":2021,"lang":"fi","type":"other","venue":"Theseus (Ammattikorkeakoulujen)","topic":"Geometric and Algebraic Topology","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":"Quarter (Canadian coin); Agriculture","score_opus":0.03587573435513976,"score_gpt":0.28211647775496457,"score_spread":0.24624074339982482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7024966104","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01910441,0.008006803,0.0023807127,0.0039920206,0.0053559016,0.0029796893,0.0008845526,0.0013920419,0.9559039],"genre_scores_gemma":[0.054087747,0.0018150884,0.005653228,0.0016404036,0.0040233587,0.0003027758,0.00095900573,0.002796896,0.9287215],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.97963953,0.0031519125,0.0041759633,0.0046225125,0.0030972809,0.005312792],"domain_scores_gemma":[0.98305917,0.003995486,0.0035520238,0.006421146,0.0010151225,0.0019570733],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.003381812,0.004403124,0.0061888066,0.0029816038,0.0010905939,0.001091554,0.0048389635,0.0042831823,0.10891406],"category_scores_gemma":[0.0037889376,0.004488344,0.002375894,0.0051509356,0.0019121111,0.00044074366,0.0033507016,0.0045823273,0.0132014705],"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":[0.0008023738,0.0063122474,0.0036269063,0.011697348,0.008783683,0.010405139,0.0052793897,0.00007663432,0.002040244,0.20768708,0.02889102,0.7143979],"study_design_scores_gemma":[0.0033665285,0.00048009527,0.0022584498,0.001939526,0.001533226,0.0012725191,0.0016815116,0.00030697358,0.00048692973,0.021079853,0.9612471,0.004347277],"about_ca_topic_score_codex":0.0016142749,"about_ca_topic_score_gemma":0.000959588,"teacher_disagreement_score":0.9323561,"about_ca_system_score_codex":0.0010226794,"about_ca_system_score_gemma":0.001784764,"threshold_uncertainty_score":0.9999454},"labels":[],"label_agreement":null},{"id":"W7025170270","doi":"","title":"Transforming Public Libraries as Spaces of Refuge &amp; Resiliency During Climate Crisis: Toronto Public Library Youth and Staff Perspectives","year":2019,"lang":"en","type":"other","venue":"York University Digital Library (York University)","topic":"Geometric and Algebraic Topology","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":"Obligation; Community organization; Climate change; Literacy; Community resilience; Environmental degradation; Public policy","score_opus":0.019429693600361994,"score_gpt":0.1973657754759565,"score_spread":0.1779360818755945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025170270","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10187172,0.0031407569,0.00008216808,0.00063733157,0.00017313428,0.00066658563,0.002857522,0.0013297271,0.88924104],"genre_scores_gemma":[0.22354402,0.003144463,0.0018629348,0.000021226679,0.00012966341,2.333398e-7,0.00041487117,0.00038569557,0.7704969],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99707997,0.00018171832,0.00034712272,0.0010677242,0.00042840975,0.00089505326],"domain_scores_gemma":[0.9977483,0.00026538453,0.00062945153,0.0008399333,0.00003650452,0.00048038404],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000048116508,0.0007280351,0.0010770004,0.0022479552,0.00035034405,0.00059057056,0.0014219445,0.0007465836,0.002522269],"category_scores_gemma":[0.00006394986,0.00082549197,0.0003973965,0.0018187374,0.0006963749,0.009268324,0.0013126568,0.00045973677,0.000073191324],"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":[0.00044405067,0.000568802,0.0044017765,0.0011265372,0.0007507375,0.00019600455,0.005799901,2.7680306e-7,0.0000034939694,0.9228366,0.06348895,0.0003828867],"study_design_scores_gemma":[0.0013426811,0.00023652428,0.00007096583,0.00033396453,0.00021808279,0.000019071846,0.1699869,4.437853e-7,0.000027128379,0.0023094825,0.82456726,0.00088748825],"about_ca_topic_score_codex":0.00010555314,"about_ca_topic_score_gemma":0.000064240936,"teacher_disagreement_score":0.9205271,"about_ca_system_score_codex":0.0001298034,"about_ca_system_score_gemma":0.00053426134,"threshold_uncertainty_score":0.99941957},"labels":[],"label_agreement":null},{"id":"W7025181624","doi":"","title":"Text operators in a relational programming language","year":2005,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"Relational database; Data manipulation language; Relational calculus; Codd's theorem; Relational model; Natural language; Programming language specification; Language identification; Entity–relationship model; Data control language","score_opus":0.0239373392184904,"score_gpt":0.2863677740848904,"score_spread":0.2624304348664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025181624","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.907847,0.00047123886,3.5309225e-7,0.000028827615,0.0006573238,0.0007943565,0.00018118878,0.0002550485,0.089764655],"genre_scores_gemma":[0.96185505,0.00005764735,0.008867627,0.00013886715,0.00013072188,0.00023754063,0.0007839588,0.0002196572,0.027708946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958518,0.00030727984,0.0012005136,0.0009781243,0.0007850245,0.0008772257],"domain_scores_gemma":[0.9976578,0.00069084787,0.00055892556,0.0006297155,0.00021093049,0.0002518063],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010856983,0.00071900076,0.0009047179,0.0012217307,0.00048876595,0.00006124533,0.0005718741,0.0011639044,0.0013038517],"category_scores_gemma":[0.0030736418,0.0007429394,0.00031730134,0.0014722177,0.000060594048,0.00046220818,0.00011269323,0.0020175246,0.00052816374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008833736,0.000511854,0.00020258436,0.00035003186,0.00015724132,0.00018064078,0.00010286095,0.000010654511,0.0012089112,0.72450525,0.000020510455,0.27266112],"study_design_scores_gemma":[0.010845629,0.0009340497,0.01906263,0.0032302972,0.0011771773,0.0004456737,0.018793572,0.00011097593,0.032094277,0.48964584,0.41484767,0.008812199],"about_ca_topic_score_codex":0.00019149619,"about_ca_topic_score_gemma":0.0038313319,"teacher_disagreement_score":0.41482717,"about_ca_system_score_codex":0.0006716721,"about_ca_system_score_gemma":0.000100099984,"threshold_uncertainty_score":0.9996091},"labels":[],"label_agreement":null},{"id":"W7025219194","doi":"","title":"The University of Saskatchewan: A Personal History","year":2023,"lang":"en","type":"article","venue":"Project Muse (Johns Hopkins University)","topic":"Geometric and Algebraic Topology","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":"Work (physics); Agency (philosophy); Period (music)","score_opus":0.03588933430984408,"score_gpt":0.2294746496871906,"score_spread":0.19358531537734652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025219194","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4186429,0.000012534442,0.0016804852,0.00089925865,0.0006250503,0.00060077495,0.00004646721,0.0006134863,0.576879],"genre_scores_gemma":[0.9707945,0.020206654,0.0012094988,0.000040267612,0.00007642121,3.7799782e-7,0.000010490989,0.00003257452,0.0076292437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99891204,0.00014410396,0.00011579719,0.0002569368,0.00022677731,0.00034436258],"domain_scores_gemma":[0.9987132,0.00066178443,0.0001492528,0.000308172,0.00010396483,0.000063626496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029718917,0.0001441975,0.00022932685,0.004619592,0.00026138878,0.0000050405147,0.00049174926,0.000116664785,0.00017862953],"category_scores_gemma":[0.00016283074,0.00013525075,0.00017948395,0.004840041,0.00035669838,0.000106814005,0.00025512953,0.0002012207,0.00008672319],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012937792,0.0010677528,0.0035749928,0.0007632043,0.0015394619,0.0023107282,0.32216847,0.000013227271,0.000109739405,0.3391408,0.18091512,0.1471027],"study_design_scores_gemma":[0.0006308756,0.00007804323,0.00022665966,0.000013671798,0.00007627636,0.0000072029575,0.027635079,0.00016519455,0.000023041774,0.00007099834,0.9709282,0.000144786],"about_ca_topic_score_codex":0.017441392,"about_ca_topic_score_gemma":0.011028184,"teacher_disagreement_score":0.7900131,"about_ca_system_score_codex":0.00034963488,"about_ca_system_score_gemma":0.0006584552,"threshold_uncertainty_score":0.9891015},"labels":[],"label_agreement":null},{"id":"W7025283538","doi":"","title":"Third Annual Report of the Police Commissioner for the City of Boston, Year Ending Nov. 30, 1908","year":2018,"lang":"en","type":"other","venue":"State Library's electronic repository (State Library of Massachusetts)","topic":"Geometric and Algebraic Topology","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":"Annual report; Year-ending; Duration (music); Period (music); Quarter (Canadian coin)","score_opus":0.013354928013318989,"score_gpt":0.2511049262233314,"score_spread":0.23774999821001241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025283538","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046001647,0.0048162057,0.0013349449,0.003889961,0.0029564819,0.00526039,0.0030017707,0.0009855257,0.9317531],"genre_scores_gemma":[0.05595168,0.00063910516,0.0028819358,0.00017981321,0.0006886762,0.000074613,0.00013481111,0.00090279203,0.9385466],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9947462,0.0005317735,0.0019690988,0.00082773884,0.0008284286,0.0010967541],"domain_scores_gemma":[0.99207413,0.0015204663,0.003825698,0.002315855,0.00008921674,0.000174637],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00058254664,0.0007470451,0.0015128095,0.0005897738,0.00024972795,0.00005809036,0.002235923,0.00052246294,0.0017013168],"category_scores_gemma":[0.00017203669,0.00049633184,0.0007572872,0.0010326874,0.0011828842,0.0006303717,0.00082953984,0.00082222914,0.000008552919],"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":[0.00029996163,0.00027181025,0.006044769,0.0010051402,0.0011751403,0.000021482669,0.0010665649,0.0000039399683,0.0002531151,0.010667479,0.9788891,0.00030146688],"study_design_scores_gemma":[0.0012728088,0.0006735213,0.0016461263,0.0005701525,0.00044546608,0.0001796255,0.00042410652,0.000025156009,0.029327627,0.053290095,0.9114182,0.0007271252],"about_ca_topic_score_codex":0.00027901182,"about_ca_topic_score_gemma":0.000010145323,"teacher_disagreement_score":0.067470945,"about_ca_system_score_codex":0.000043281245,"about_ca_system_score_gemma":0.0011865908,"threshold_uncertainty_score":0.9997488},"labels":[],"label_agreement":null},{"id":"W7030041253","doi":"","title":"Morse-Bott Embedded Contact Homology","year":2023,"lang":"en","type":"other","venue":"eScholarship (California Digital Library)","topic":"Geometric and Algebraic Topology","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":"Transversality; Homology (biology); Class (philosophy); Algebra over a field","score_opus":0.027213514449681057,"score_gpt":0.2608733810828949,"score_spread":0.2336598666332138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7030041253","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.002929347,0.000744063,0.00024488274,0.00061584346,0.0012196173,0.0008280463,0.008107527,0.007292403,0.9780183],"genre_scores_gemma":[0.019983564,0.00011772135,0.0015440311,0.00057908235,0.0010925311,0.00009441969,0.0010008018,0.004389999,0.97119784],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99647015,0.00015794559,0.0008127147,0.0009804262,0.0005117343,0.0010670414],"domain_scores_gemma":[0.99677956,0.0010778405,0.0005627524,0.0010956816,0.000027879434,0.000456257],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00021419577,0.0008685544,0.0012741035,0.0012624938,0.000097604294,0.0005219613,0.001074926,0.0012762179,0.018476376],"category_scores_gemma":[0.0018216529,0.0007849618,0.00048959383,0.0012043389,0.0002271701,0.00072183536,0.0005639936,0.0011713277,0.033253867],"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":[0.00003172068,0.00020277083,0.0040440382,0.00020336808,0.00030818966,0.00040112174,0.000013010583,7.300752e-8,0.000002366179,0.032292187,0.959774,0.002727138],"study_design_scores_gemma":[0.00075549836,0.0001271909,0.00021743057,0.00022618366,0.000086565145,0.00006292964,0.000041229283,0.0000026448483,0.00004705173,0.13171744,0.86586726,0.0008485894],"about_ca_topic_score_codex":0.000015024423,"about_ca_topic_score_gemma":0.000013423228,"teacher_disagreement_score":0.099425256,"about_ca_system_score_codex":0.000051726576,"about_ca_system_score_gemma":0.00018478584,"threshold_uncertainty_score":0.99946016},"labels":[],"label_agreement":null},{"id":"W70402426","doi":"","title":"Simple polygons with an infinite sequence of deflations.","year":2001,"lang":"de","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Carleton University; McGill University","funders":"","keywords":"Simple (philosophy); Polygon (computer graphics); Simple polygon; Counterexample; Sequence (biology); Combinatorics; Plane (geometry); Conjecture; Rectilinear polygon; Mathematics; Regular polygon; Geometry; Computer science","score_opus":0.05955486642053464,"score_gpt":0.317806653060989,"score_spread":0.25825178664045434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W70402426","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93355364,0.00053408364,0.03894627,0.000676427,0.00015804521,0.00034218002,0.00006956007,0.000109706845,0.025610076],"genre_scores_gemma":[0.9793907,0.00014183194,0.016659454,0.00021369805,0.00011247645,0.0000056175663,0.000038392463,0.000026524955,0.003411332],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985569,0.00008216738,0.00046986117,0.00026404497,0.00024426586,0.0003827521],"domain_scores_gemma":[0.9983012,0.00052390166,0.00025017728,0.00058567425,0.00017521896,0.0001638328],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00022351647,0.00020339058,0.0003764126,0.00033456215,0.000104829276,0.000023153802,0.00023738065,0.00015533704,0.004135818],"category_scores_gemma":[0.0002848345,0.00016121255,0.00006211671,0.0012232692,0.0002815915,0.00016932363,0.000060622107,0.00017001604,0.00027977183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017313019,0.0012313772,0.13648875,0.00021177878,0.0004488729,0.00010952086,0.0022795224,0.00020937674,0.00047616684,0.8447646,0.0028225393,0.010784349],"study_design_scores_gemma":[0.006045771,0.0073771337,0.04443409,0.00025901495,0.0018457504,0.00057937816,0.010304041,0.01213461,0.0030307642,0.8112122,0.1003539,0.0024233495],"about_ca_topic_score_codex":0.00046643367,"about_ca_topic_score_gemma":0.00028976946,"teacher_disagreement_score":0.097531356,"about_ca_system_score_codex":0.000025627167,"about_ca_system_score_gemma":0.00017421707,"threshold_uncertainty_score":0.99677455},"labels":[],"label_agreement":null},{"id":"W7042518466","doi":"","title":"Planning expansion of business operations to a new market : case: Dixu","year":2021,"lang":"en","type":"other","venue":"Theseus (Ammattikorkeakoulujen)","topic":"Geometric and Algebraic Topology","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":"Real estate; Service (business); Process (computing); Apartment; Key (lock); Space (punctuation)","score_opus":0.050123504766625485,"score_gpt":0.31529417792574305,"score_spread":0.2651706731591176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7042518466","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0037360336,0.0019992848,0.03726576,0.0006358892,0.00080496713,0.0008057739,0.00010874342,0.0003064814,0.95433706],"genre_scores_gemma":[0.0035844438,0.00006981312,0.033558298,0.00014816587,0.00063248596,0.000051997114,0.000058734895,0.000537706,0.96135837],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973993,0.00022062936,0.00071578694,0.00064426893,0.0004425946,0.0005774316],"domain_scores_gemma":[0.99747163,0.0005814311,0.0003129898,0.0011345794,0.00018686488,0.00031251874],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00040017118,0.000575413,0.0011675038,0.000986494,0.00011071726,0.000056078516,0.000535475,0.00057310134,0.018908486],"category_scores_gemma":[0.0013025218,0.00051746226,0.00019494895,0.0016181106,0.00010088567,0.000055091263,0.00040844278,0.00036138302,0.0001287768],"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":[0.00021961832,0.000708231,0.00011398645,0.0033711665,0.0014689952,0.0075743566,0.006227726,0.0003544562,0.00094257307,0.040230766,0.44665715,0.492131],"study_design_scores_gemma":[0.0006277514,0.000078795616,0.000090595095,0.001616099,0.00020675147,0.001447612,0.00093348284,0.00006037537,0.00020627266,0.0038284082,0.9902071,0.0006967562],"about_ca_topic_score_codex":0.0021517484,"about_ca_topic_score_gemma":0.0006738248,"teacher_disagreement_score":0.54354995,"about_ca_system_score_codex":0.00006553693,"about_ca_system_score_gemma":0.0004136428,"threshold_uncertainty_score":0.9997277},"labels":[],"label_agreement":null},{"id":"W7042735637","doi":"","title":"Predicting the well-being of seniors, network embeddedness, received support and perceived support","year":2000,"lang":"en","type":"other","venue":"Library and Archives Canada (Government of Canada)","topic":"Geometric and Algebraic Topology","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":"Perception; Set (abstract data type); Data collection; Quality (philosophy); Identification (biology)","score_opus":0.00435591449477594,"score_gpt":0.17178531666665517,"score_spread":0.16742940217187924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7042735637","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014292255,0.00030249468,0.000013558878,0.0009886625,0.00029996264,0.00032871412,0.0001865242,0.000026843074,0.983561],"genre_scores_gemma":[0.39092374,0.0013685729,0.0015798075,0.0008540696,0.00038586737,0.00001181236,0.000036561643,0.00022813104,0.60461146],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.997456,0.00012249315,0.0005069805,0.00034371915,0.0011261461,0.00044464986],"domain_scores_gemma":[0.99821866,0.00072225084,0.0005059754,0.0003507586,5.901977e-7,0.00020178637],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000033643024,0.00034195458,0.00065236934,0.000055937,0.00015369129,0.000014781155,0.0003195694,0.000112690504,0.001531558],"category_scores_gemma":[0.000011608697,0.00026900816,0.000052906318,0.00013945383,0.0002600925,0.00007926034,0.00018257066,0.00028269878,8.313525e-9],"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":[0.0005195825,0.00010558063,0.06895919,0.0024403725,0.0012747332,0.00033507412,0.0017810084,0.000044467746,0.00030538824,0.11032834,0.8031853,0.010720988],"study_design_scores_gemma":[0.0014062539,0.00035059085,0.02785745,0.0011114287,0.0005259807,0.00013018047,0.008804261,0.00055856875,0.0012030555,0.025461596,0.93139726,0.0011933955],"about_ca_topic_score_codex":0.0033613816,"about_ca_topic_score_gemma":0.020350683,"teacher_disagreement_score":0.37894955,"about_ca_system_score_codex":0.0000039957818,"about_ca_system_score_gemma":0.0010991858,"threshold_uncertainty_score":0.9999762},"labels":[],"label_agreement":null},{"id":"W7043347995","doi":"","title":"Sections of Serre Fibrations with Low-Dimensional Fibers","year":2002,"lang":"en","type":"other","venue":"NC Digital Online Collection of Knowledge and Scholarship (The University of North Carolina at Greensboro)","topic":"Geometric and Algebraic Topology","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":"Point (geometry); Hyperspace; Class (philosophy); Sequence (biology); Intersection (aeronautics)","score_opus":0.019361210423650885,"score_gpt":0.22844599830251727,"score_spread":0.2090847878788664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7043347995","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9418731,0.00064747105,0.00015945124,0.00019424292,0.00017942673,0.0006317917,0.0008781076,0.00008452697,0.055351894],"genre_scores_gemma":[0.7053271,0.000120430115,0.00086476986,0.000007329523,0.00006663837,6.4468315e-7,0.00011783911,0.00006975742,0.2934255],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998833,0.0000806571,0.00031297683,0.0003084686,0.00028723123,0.00017768425],"domain_scores_gemma":[0.9981643,0.00036223285,0.0005648389,0.00034976698,0.00045153158,0.00010732519],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00008755934,0.00026554408,0.00058390625,0.0006610633,0.000259789,0.0000030665235,0.00023908482,0.0002602969,0.00047138918],"category_scores_gemma":[0.00015167108,0.00022996825,0.00019636,0.0011356947,0.00053917273,0.0001555099,0.00015953057,0.00032261273,0.000012187894],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006318353,0.0017222159,0.82909286,0.0010321661,0.0010230186,0.000024539495,0.0015924094,0.00012589397,0.000010201052,0.0006836266,0.16116516,0.0028960602],"study_design_scores_gemma":[0.0051888125,0.0013360945,0.89903736,0.000756527,0.00090547965,0.00016764058,0.00010369714,0.00033059285,0.00007253538,0.0009405063,0.090440705,0.00072005804],"about_ca_topic_score_codex":0.00011281306,"about_ca_topic_score_gemma":0.0081677735,"teacher_disagreement_score":0.2380736,"about_ca_system_score_codex":0.00007561084,"about_ca_system_score_gemma":0.00018504122,"threshold_uncertainty_score":0.9377833},"labels":[],"label_agreement":null},{"id":"W7043618793","doi":"","title":"Small homotopy types for arithmetic 3-manifolds via discrete morse theory","year":2020,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"Counterexample; Handlebody; Homotopy; Morse code; Morse theory; Rank (graph theory)","score_opus":0.03421023354529352,"score_gpt":0.27274047142646907,"score_spread":0.23853023788117556,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7043618793","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8467328,0.0016371928,0.00041779596,0.00036395417,0.0060679037,0.0063800286,0.0036293312,0.0017705954,0.1330004],"genre_scores_gemma":[0.9346863,0.00016489736,0.018248359,0.00068442954,0.00029443696,0.0007590383,0.0021708745,0.0006602882,0.04233138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950248,0.0004658904,0.0012995368,0.001474562,0.000634692,0.0011005357],"domain_scores_gemma":[0.99487716,0.002200092,0.0009345017,0.0010442921,0.00044686752,0.0004971113],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0013040364,0.0011409862,0.0015595214,0.00070007844,0.0009260052,0.00010009715,0.0011832447,0.0013380619,0.0006225702],"category_scores_gemma":[0.005238045,0.0011043412,0.00087780756,0.0009663064,0.00011596104,0.00027062994,0.00020632274,0.0015809513,0.0005619809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038979392,0.00022955042,0.0000049366827,0.001313057,0.0006080279,0.000079447396,0.00003107162,0.0000023349428,0.0024076805,0.94767034,0.000039042898,0.04722473],"study_design_scores_gemma":[0.0012707633,0.00050273834,0.00012967514,0.00023969487,0.0011395505,0.00004530428,0.00039416898,0.000055578214,0.016935319,0.9329406,0.044993285,0.0013533107],"about_ca_topic_score_codex":0.00007073546,"about_ca_topic_score_gemma":0.00040039633,"teacher_disagreement_score":0.09066902,"about_ca_system_score_codex":0.00030437985,"about_ca_system_score_gemma":0.00008537612,"threshold_uncertainty_score":0.9999584},"labels":[],"label_agreement":null},{"id":"W7072245175","doi":"","title":"Unfolding the twisted pair groupoid","year":2020,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"","score_opus":0.03960144342621678,"score_gpt":0.2749338516231415,"score_spread":0.23533240819692472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7072245175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78763604,0.000543396,0.0000018460775,0.00038412132,0.0031809506,0.0012493174,0.00045776388,0.0009085986,0.20563795],"genre_scores_gemma":[0.9759167,0.0001221748,0.0012609715,0.0010299328,0.00019667952,0.00018632357,0.0006264001,0.000342829,0.020318018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99476504,0.0006011991,0.0013131701,0.0012311781,0.0010553137,0.0010341082],"domain_scores_gemma":[0.99516785,0.0018736493,0.0010444804,0.0011758736,0.00033563652,0.00040253234],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011939104,0.0010211222,0.0012419665,0.00040540416,0.0014760619,0.000117442876,0.0015101286,0.0011229336,0.0009065157],"category_scores_gemma":[0.0056801746,0.0008264316,0.00069654715,0.0017929577,0.00011895311,0.00033466055,0.0002743632,0.0027195243,0.00086467597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011377156,0.00017163505,0.00001769015,0.0006140229,0.00045699938,0.00013337999,0.000040799005,0.0000015949985,0.0038375643,0.956969,0.00035272108,0.037290815],"study_design_scores_gemma":[0.0010719382,0.00023361099,0.00029567062,0.00026488016,0.00069324544,0.00008340883,0.0012994774,0.000019687832,0.023458173,0.58582264,0.38536263,0.0013946153],"about_ca_topic_score_codex":0.00010618739,"about_ca_topic_score_gemma":0.00036726266,"teacher_disagreement_score":0.3850099,"about_ca_system_score_codex":0.00043099542,"about_ca_system_score_gemma":0.00007357072,"threshold_uncertainty_score":0.9999133},"labels":[],"label_agreement":null},{"id":"W7097156954","doi":"","title":"Published by Canadian Center of Science and Education On Complex Contact Similarity Manifolds","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Holomorphic function; Similarity (geometry); Complex projective space; Center (category theory); Space (punctuation); Connected sum; Algebra over a field; Construct (python library); Torus","score_opus":0.03241221587339317,"score_gpt":0.29034929744911736,"score_spread":0.2579370815757242,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7097156954","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86125827,0.000009984639,0.00023597118,0.010391558,0.00019356923,0.00016450533,0.000042478347,0.000018022143,0.12768565],"genre_scores_gemma":[0.99602,0.0000027290837,0.0006032962,0.00082853925,0.000013233559,0.0000022145696,0.000002183354,0.0000036937017,0.0025240767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99935395,0.000015554853,0.00012783264,0.00015587955,0.00015630317,0.0001904873],"domain_scores_gemma":[0.9992956,0.00014759484,0.00005053903,0.00017638654,0.00016221256,0.00016769992],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003198635,0.000058828133,0.000108518194,0.00026840196,0.00007120368,0.00002216357,0.00014656338,0.00003879583,0.0012639109],"category_scores_gemma":[0.0008095905,0.00003645855,0.000011865351,0.00025416055,0.00022292361,0.00013486964,0.000026710948,0.000030564046,0.000008962764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000049859864,0.00015887231,0.017976744,0.000017517164,0.000007511453,3.5167045e-7,0.00008059748,1.6541676e-9,0.0025649918,0.6923966,0.27746665,0.009325165],"study_design_scores_gemma":[0.0029109132,0.00063667033,0.4192533,0.00010340121,0.000035568042,0.000039849623,0.0011723882,0.000033572112,0.013836751,0.41793987,0.14342268,0.000615056],"about_ca_topic_score_codex":0.012894373,"about_ca_topic_score_gemma":0.010507524,"teacher_disagreement_score":0.40127653,"about_ca_system_score_codex":0.0000963564,"about_ca_system_score_gemma":0.00036982622,"threshold_uncertainty_score":0.99964905},"labels":[],"label_agreement":null},{"id":"W7097380488","doi":"","title":"Some hyperbolic 4-manifolds with low volume and number of cusps, arXiv:1402.2580 Alexander Kolpakov Department of Mathematics 40 St. George Street Toronto ON M5S 2E4 Canada kolpakov dot alexander at gmail dot com Leone Slavich Dipartimento di Matematica “","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"George (robot); Volume (thermodynamics); Context (archaeology); Square (algebra)","score_opus":0.013886144441875631,"score_gpt":0.24517297286164638,"score_spread":0.23128682841977075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7097380488","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9880802,0.00040037022,0.0010032573,0.001151399,0.00019627597,0.0012166324,0.00034460373,0.00009949954,0.0075077396],"genre_scores_gemma":[0.95660686,0.00017537696,0.0029492883,0.00020000171,0.0000815127,0.00010919463,0.00003756523,0.00011324654,0.03972694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9953626,0.00015455902,0.0015503928,0.00075294054,0.0011523496,0.0010272004],"domain_scores_gemma":[0.9961152,0.0010140133,0.00086828624,0.0012706603,0.00027511315,0.00045673063],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00054235844,0.00078229257,0.0016731545,0.00012795177,0.00017193012,0.00003673015,0.00046927104,0.00028041698,0.007805723],"category_scores_gemma":[0.00015687008,0.00048651255,0.00016322303,0.0002759747,0.00038753747,0.0003120937,0.0003402737,0.00015164603,0.00006816319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010174592,0.008782454,0.24773782,0.0077107428,0.004747389,0.0002106275,0.0024657946,0.00003921235,0.0034411636,0.46469072,0.2579885,0.0011680973],"study_design_scores_gemma":[0.11377335,0.014882702,0.25107786,0.016048789,0.014176624,0.0025688412,0.041861944,0.005410609,0.22798568,0.22072567,0.06705835,0.02442958],"about_ca_topic_score_codex":0.04404106,"about_ca_topic_score_gemma":0.2673942,"teacher_disagreement_score":0.24396504,"about_ca_system_score_codex":0.0005584659,"about_ca_system_score_gemma":0.0002711991,"threshold_uncertainty_score":0.99975866},"labels":[],"label_agreement":null},{"id":"W7097418509","doi":"","title":"Probability and Geometry on Groups -- Lecture notes for a graduate course","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Course (navigation); Probabilistic logic; Algebra over a field; Algebraic number; Probability theory; Graduate students","score_opus":0.18315918905824566,"score_gpt":0.34210512092029244,"score_spread":0.15894593186204678,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7097418509","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9255286,0.000074044816,0.06948586,0.0032209065,0.00014462543,0.00048776894,0.00000967363,0.000096653406,0.00095188915],"genre_scores_gemma":[0.97165,0.0000023274931,0.02763629,0.00031424954,0.00008233866,0.000031909283,0.000003480814,0.000013127253,0.00026628532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992042,0.00003158602,0.00015780854,0.0002336365,0.00014551984,0.00022724652],"domain_scores_gemma":[0.9984179,0.0010728894,0.000054657557,0.0002203881,0.00010717792,0.00012698698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054338895,0.00012470127,0.00022343789,0.000093241666,0.00004884786,0.00001754044,0.00007894001,0.00009830008,0.00004125333],"category_scores_gemma":[0.0030656792,0.000086878186,0.000046345685,0.00023682472,0.000088151166,0.000034822722,0.000039221017,0.000105112755,0.0000137807865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016916386,0.00078164006,0.009795476,0.0002637846,0.000103547056,0.0000046647806,0.0009277817,0.000013668412,0.000025313992,0.942948,0.01735284,0.02761412],"study_design_scores_gemma":[0.00078688073,0.00042558354,0.0021518,0.000005544196,0.00003474133,0.0000126895975,0.000111793786,0.00015359052,0.00042164954,0.99528074,0.00048869743,0.0001263023],"about_ca_topic_score_codex":0.00001781479,"about_ca_topic_score_gemma":0.000029920899,"teacher_disagreement_score":0.05233273,"about_ca_system_score_codex":0.00002191776,"about_ca_system_score_gemma":0.000038734437,"threshold_uncertainty_score":0.3670126},"labels":[],"label_agreement":null},{"id":"W7097563824","doi":"","title":"Edmonton","year":2008,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Nilpotent; Fibered knot; Automorphism; Knot (papermaking); Invariant (physics); Nilpotent group","score_opus":0.10917523255767368,"score_gpt":0.31146589791443974,"score_spread":0.20229066535676604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7097563824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.662598,0.000035389112,0.0066186646,0.0004339601,0.00007967695,0.000038362614,2.147157e-7,0.00011150898,0.33008423],"genre_scores_gemma":[0.9413439,0.000009015316,0.009973108,0.00015803045,0.000047377736,0.0000017475305,2.383022e-7,0.0000041537983,0.0484624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997042,0.0000072565617,0.00007069846,0.00006120712,0.000058988546,0.000097653574],"domain_scores_gemma":[0.99973303,0.00010612925,0.000014514236,0.00010522495,0.000012770586,0.000028345456],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000041737545,0.000035463898,0.00006985801,0.00004585895,0.000040221363,0.0000011547264,0.000052685722,0.000028484556,0.0018749196],"category_scores_gemma":[0.00014563027,0.000026325506,0.000024283072,0.00011838238,0.000031858657,0.000018744788,0.000016511438,0.000033205262,0.00026696778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000020100956,0.00006810924,0.003407458,0.000005083685,0.000010084121,0.000027352922,0.00020278808,9.3209024e-8,0.00006017878,0.8439275,0.15036175,0.001927623],"study_design_scores_gemma":[0.0005827759,0.00009521524,0.021053487,0.0000024595415,0.000011023455,0.0003437107,0.00018619424,0.000034443514,0.0021879268,0.9027413,0.07254656,0.00021490996],"about_ca_topic_score_codex":0.000017917639,"about_ca_topic_score_gemma":0.0000046582227,"teacher_disagreement_score":0.2816218,"about_ca_system_score_codex":0.0000049899018,"about_ca_system_score_gemma":0.000009159722,"threshold_uncertainty_score":0.9990375},"labels":[],"label_agreement":null},{"id":"W7098440490","doi":"","title":"The Canadian Mineralogist","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Sphalerite; Indentation hardness; Fumarole; Crystal (programming language); Mineral; Galena; Chemical composition","score_opus":0.05068082071457138,"score_gpt":0.2952721431524667,"score_spread":0.2445913224378953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7098440490","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07599157,0.00008863553,0.0026910955,0.11060919,0.00052155834,0.00014692983,0.000005486202,0.000099102625,0.80984646],"genre_scores_gemma":[0.8753675,0.00000510748,0.0006166065,0.00027000488,0.000045996683,0.0000032995715,9.384456e-8,0.0000035079986,0.12368785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996112,0.0000141633445,0.00007105155,0.00005789068,0.00005034961,0.00019531747],"domain_scores_gemma":[0.9991868,0.00053683406,0.0000146801185,0.00016092333,0.000021672698,0.00007909768],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015312199,0.00003666866,0.000043937995,0.000040002014,0.00016810646,0.00001297521,0.000119701275,0.00003191184,0.00072523195],"category_scores_gemma":[0.00066671986,0.000013285312,0.000020000081,0.00008641962,0.00009788342,0.000013689234,0.0000125792585,0.000022284397,0.00030983385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[3.400245e-7,0.0000018000153,0.00063693913,3.558383e-7,0.000003952179,0.0000016529774,0.000006793068,1.824993e-9,0.000013378146,0.8663634,0.12256623,0.010405172],"study_design_scores_gemma":[0.000120735225,0.000012242379,0.0021585196,0.0000013292118,0.0000026360387,0.000007874316,0.000029956238,8.335038e-7,0.000097141376,0.6372475,0.36027396,0.00004729796],"about_ca_topic_score_codex":0.043402657,"about_ca_topic_score_gemma":0.7601933,"teacher_disagreement_score":0.79937595,"about_ca_system_score_codex":0.00003667219,"about_ca_system_score_gemma":0.00006531161,"threshold_uncertainty_score":0.9629674},"labels":[],"label_agreement":null},{"id":"W7098813784","doi":"","title":"be reached at (613) 951-2124 or perspectives@statcan.ca. Data source and definitions","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Immigration; Sample (material); Ethnic group; Population; Cohort; Longitudinal data; Variance (accounting); Panel data","score_opus":0.44588059122458373,"score_gpt":0.3810343917172372,"score_spread":0.06484619950734655,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7098813784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74773204,0.00089295727,0.029366577,0.014063029,0.0002571754,0.0006031979,0.00040084834,0.0005184252,0.20616576],"genre_scores_gemma":[0.8600387,0.0001450952,0.050250534,0.00066269544,0.00017524842,0.000019141344,0.00016059968,0.000051242307,0.088496774],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880654,0.00007123224,0.00022184225,0.00040532698,0.00020399473,0.0002910595],"domain_scores_gemma":[0.998106,0.00071766437,0.000078471596,0.0007788641,0.00009196999,0.00022705401],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004106051,0.0001567686,0.0002610471,0.000147881,0.00012969619,0.00003243035,0.00030055098,0.000102407124,0.0021494518],"category_scores_gemma":[0.0025770653,0.000115025105,0.000027087655,0.00033222593,0.00020850573,0.00013425421,0.00062842283,0.00013969492,0.00018319882],"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":[0.00008910724,0.00038940285,0.0013352629,0.000046289948,0.00013213293,0.00003673181,0.009227751,8.9741553e-7,0.000035856876,0.39439857,0.59295064,0.001357338],"study_design_scores_gemma":[0.0050762817,0.0006867411,0.0017170798,0.00003284198,0.00045196043,0.000994632,0.14731091,0.0012988392,0.00012719218,0.5291542,0.3120484,0.0011009468],"about_ca_topic_score_codex":0.00022278025,"about_ca_topic_score_gemma":0.0005134506,"teacher_disagreement_score":0.28090224,"about_ca_system_score_codex":0.00007180969,"about_ca_system_score_gemma":0.000104301675,"threshold_uncertainty_score":0.9987627},"labels":[],"label_agreement":null},{"id":"W7099779530","doi":"","title":"3 Centre of Excellence in Neurosciences of Université de Montréal, Sainte-Justine","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Excellence; Oxytocin; Production (economics); Government (linguistics)","score_opus":0.02229804185480603,"score_gpt":0.2443621218688559,"score_spread":0.22206408001404987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7099779530","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9922738,0.0002006468,0.00051041803,0.0003305329,0.00006737686,0.0000401853,0.0000015374181,0.000007769459,0.0065677403],"genre_scores_gemma":[0.9919734,0.000047811838,0.0021997876,0.000016882148,0.000006525892,1.4290946e-7,1.2276945e-7,0.0000022183028,0.0057531213],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9995038,0.000029373608,0.00014006642,0.000061193365,0.00008683431,0.00017872127],"domain_scores_gemma":[0.999493,0.000269429,0.000079300895,0.000095808966,0.000019551018,0.000042935568],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019088022,0.000043702108,0.00012469191,0.00011758488,0.000014516734,5.414332e-7,0.00011644406,0.000028841241,0.00043938486],"category_scores_gemma":[0.0003234684,0.00003483892,0.000024293611,0.00032418282,0.000086947955,0.000037782076,0.000080537146,0.000033920584,0.0000037575219],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004009026,0.00085809984,0.71188563,0.00020517928,0.0000107447495,0.000010780412,0.004779295,0.000030744715,0.012218189,0.2582027,0.009511183,0.002247349],"study_design_scores_gemma":[0.0045048543,0.00078240567,0.56706065,0.0002272791,0.00018388213,0.00014080695,0.06291016,0.0026215292,0.26830307,0.077893086,0.014420559,0.00095170387],"about_ca_topic_score_codex":0.0006074384,"about_ca_topic_score_gemma":0.00020227487,"teacher_disagreement_score":0.2560849,"about_ca_system_score_codex":0.000024752972,"about_ca_system_score_gemma":0.000013042496,"threshold_uncertainty_score":0.4810956},"labels":[],"label_agreement":null},{"id":"W7100919817","doi":"","title":"TITLE: FOOD AND YARD WASTE COMPOST AS A NUTRIENT SOURCE FOR","year":2012,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","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":"Permission; Acknowledgement; Yard; Compost; Nutrient","score_opus":0.04049434476159879,"score_gpt":0.2962817048035068,"score_spread":0.255787360041908,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7100919817","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66385674,0.00068138976,0.0742709,0.000983682,0.00041862827,0.00041703362,0.000009677959,0.00010392526,0.259258],"genre_scores_gemma":[0.9752141,0.000003795533,0.00522662,0.00014396216,0.000112431284,0.0000066689663,0.0000011858855,0.0000074085933,0.019283812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99973166,0.000005190583,0.000058926704,0.000047202924,0.00003713053,0.00011987457],"domain_scores_gemma":[0.99970657,0.00015288456,0.000018239401,0.00006516247,0.000011485895,0.00004567567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007133609,0.00003906056,0.00007238543,0.000034570458,0.000023872048,0.0000044582,0.000028177177,0.000030954954,0.00076049304],"category_scores_gemma":[0.000082694634,0.000029409786,0.00001921163,0.00004634186,0.000018260984,0.000014680831,0.000025014268,0.000023848872,0.00016084922],"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":[0.00000796902,0.00008513785,0.00027958,0.000047743702,0.000027373499,1.2158102e-7,0.00026991335,2.3861224e-8,0.000044719167,0.8770525,0.11833112,0.0038538042],"study_design_scores_gemma":[0.0008537207,0.00040924054,0.000090055335,0.0000089867535,0.000048036196,0.000041756106,0.00097411405,0.00009500897,0.004601828,0.21912412,0.773573,0.00018015932],"about_ca_topic_score_codex":0.0000013463265,"about_ca_topic_score_gemma":6.0727285e-7,"teacher_disagreement_score":0.6579284,"about_ca_system_score_codex":0.0000040259515,"about_ca_system_score_gemma":0.000004320542,"threshold_uncertainty_score":0.83268654},"labels":[],"label_agreement":null},{"id":"W7103986835","doi":"10.6084/m9.figshare.30537741.v1","title":"Additional file 2 of Sex/gender entanglement: A problem of knots and buckets","year":2025,"lang":"","type":"article","venue":"Figshare","topic":"Geometric and Algebraic Topology","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 Northern British Columbia","funders":"","keywords":"Sequence (biology); Set (abstract data type); File format","score_opus":0.03729275330156737,"score_gpt":0.2734868925852234,"score_spread":0.23619413928365604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7103986835","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00003935322,0.00055079063,0.0000022031431,0.00006225345,0.000021330776,0.00039454878,0.960856,0.000014538644,0.03805899],"genre_scores_gemma":[0.017206917,0.0000081875,0.0031703766,0.000109641616,0.00005967667,0.00061002077,0.9649053,0.000021504613,0.013908351],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984143,0.00006483497,0.00064453913,0.00031549067,0.0002648682,0.00029600473],"domain_scores_gemma":[0.9947747,0.0041422644,0.0004746827,0.00027480442,0.00025918646,0.00007438931],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00004475218,0.00022084672,0.0005077268,0.00035128952,0.00006972302,0.000013473962,0.0002159817,0.0002182671,0.99875045],"category_scores_gemma":[0.003673807,0.00022592697,0.00013021802,0.0006969601,0.000052359414,0.00006424593,0.00037868074,0.00017351563,0.00041463677],"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":[0.000008944698,0.00026032433,0.000007493164,0.003786006,0.00020070518,0.0000046347072,0.00031808385,4.3211494e-7,0.0000032609814,0.0011649459,0.9842492,0.009996004],"study_design_scores_gemma":[0.00060267904,0.0001342282,0.0012591615,0.0077313073,0.00006608471,0.000012536742,0.00050073845,0.00007324569,0.00038522063,0.02087708,0.9681529,0.00020480974],"about_ca_topic_score_codex":0.0000024073995,"about_ca_topic_score_gemma":0.0000038753474,"teacher_disagreement_score":0.99833584,"about_ca_system_score_codex":0.000029904566,"about_ca_system_score_gemma":0.0003094514,"threshold_uncertainty_score":0.92130345},"labels":[],"label_agreement":null},{"id":"W7104007170","doi":"10.6084/m9.figshare.30537741","title":"Additional file 2 of Sex/gender entanglement: A problem of knots and buckets","year":2025,"lang":"","type":"article","venue":"Figshare","topic":"Geometric and Algebraic Topology","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 Northern British Columbia","funders":"","keywords":"Sequence (biology); Set (abstract data type); File format","score_opus":0.03729275330156737,"score_gpt":0.2734868925852234,"score_spread":0.23619413928365604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7104007170","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00003935322,0.00055079063,0.0000022031431,0.00006225345,0.000021330776,0.00039454878,0.960856,0.000014538644,0.03805899],"genre_scores_gemma":[0.017206917,0.0000081875,0.0031703766,0.000109641616,0.00005967667,0.00061002077,0.9649053,0.000021504613,0.013908351],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984143,0.00006483497,0.00064453913,0.00031549067,0.0002648682,0.00029600473],"domain_scores_gemma":[0.9947747,0.0041422644,0.0004746827,0.00027480442,0.00025918646,0.00007438931],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00004475218,0.00022084672,0.0005077268,0.00035128952,0.00006972302,0.000013473962,0.0002159817,0.0002182671,0.99875045],"category_scores_gemma":[0.003673807,0.00022592697,0.00013021802,0.0006969601,0.000052359414,0.00006424593,0.00037868074,0.00017351563,0.00041463677],"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":[0.000008944698,0.00026032433,0.000007493164,0.003786006,0.00020070518,0.0000046347072,0.00031808385,4.3211494e-7,0.0000032609814,0.0011649459,0.9842492,0.009996004],"study_design_scores_gemma":[0.00060267904,0.0001342282,0.0012591615,0.0077313073,0.00006608471,0.000012536742,0.00050073845,0.00007324569,0.00038522063,0.02087708,0.9681529,0.00020480974],"about_ca_topic_score_codex":0.0000024073995,"about_ca_topic_score_gemma":0.0000038753474,"teacher_disagreement_score":0.99833584,"about_ca_system_score_codex":0.000029904566,"about_ca_system_score_gemma":0.0003094514,"threshold_uncertainty_score":0.92130345},"labels":[],"label_agreement":null},{"id":"W7106146625","doi":"10.20382/jocg.v16i1a18","title":"An algorithm to construct one-vertex triangulations of Heegaard splittings","year":2024,"lang":"en","type":"article","venue":"Journal of Computational Geometry (Carleton University)","topic":"Geometric and Algebraic Topology","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":"Triangulation; Construct (python library); Boundary (topology); Heegaard splitting; Diagram; Bounded function","score_opus":0.02602626743368361,"score_gpt":0.29063889604352605,"score_spread":0.26461262860984247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7106146625","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5205573,0.000093308685,0.47670057,0.00057818554,0.00045043248,0.00010812316,0.00004795929,0.000035016707,0.0014291067],"genre_scores_gemma":[0.8049525,0.0000068023437,0.1941489,0.000060237944,0.00014916732,8.2317506e-8,0.000006962045,0.000014188555,0.00066118233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984849,0.00010631252,0.00053424697,0.00017923862,0.00051356317,0.00018171813],"domain_scores_gemma":[0.997529,0.0011777557,0.0003336752,0.00012920746,0.0006210047,0.00020938183],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047231064,0.00013623225,0.0004188504,0.003015025,0.000079854704,0.00004201067,0.00032480992,0.000098510405,0.00034847655],"category_scores_gemma":[0.00028829303,0.00014098504,0.00023115677,0.0028377573,0.000105966,0.0003453912,0.000058120655,0.00024679906,0.0000135653745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018295473,0.00060742185,0.0013191763,0.00024356066,0.0011233897,0.0004754532,0.0012901119,0.01600712,0.00059829635,0.8212176,0.0046367617,0.15229815],"study_design_scores_gemma":[0.0057139536,0.0033333306,0.025918094,0.0008543822,0.0013091125,0.0015314674,0.006248387,0.033723556,0.001165748,0.8670806,0.05196575,0.0011555669],"about_ca_topic_score_codex":0.000011978344,"about_ca_topic_score_gemma":0.0000011836977,"teacher_disagreement_score":0.2843952,"about_ca_system_score_codex":0.00013103907,"about_ca_system_score_gemma":0.0003303596,"threshold_uncertainty_score":0.5749203},"labels":[],"label_agreement":null},{"id":"W7111415984","doi":"10.20382/jocg.v16i1a19","title":"Excluding cosmetic surgeries on hyperbolic 3-manifolds","year":2025,"lang":"en","type":"article","venue":"Journal of Computational Geometry (Carleton University)","topic":"Geometric and Algebraic Topology","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":"Knot (papermaking); Conjecture; Knot theory; Knot invariant; Tricolorability","score_opus":0.028274327781274325,"score_gpt":0.27788765871319915,"score_spread":0.24961333093192484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7111415984","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9343861,0.00013310571,0.04547406,0.0012672879,0.0008027104,0.00008208089,0.0000061880196,0.00003405359,0.017814415],"genre_scores_gemma":[0.988556,0.00003496466,0.006080173,0.000262959,0.00010246536,9.445746e-8,0.0000022168497,0.000010176089,0.004950911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986921,0.00012077636,0.00040680796,0.00015508193,0.0004074468,0.00021781404],"domain_scores_gemma":[0.9967757,0.0021512553,0.00041025702,0.00012400986,0.0004387216,0.0001000496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040420538,0.00015740794,0.00042757936,0.0032618544,0.00016392433,0.00003287542,0.00032600758,0.00010334432,0.00019250785],"category_scores_gemma":[0.0006286204,0.0001553738,0.00023508693,0.0024658223,0.000105274594,0.0001737287,0.00008471462,0.00028996659,0.000013762305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023652174,0.0003601703,0.0054902835,0.00009646957,0.00049401773,0.00035270685,0.00013984492,0.009680714,0.000047340323,0.96184766,0.014447685,0.00680656],"study_design_scores_gemma":[0.0047987984,0.0009845499,0.0485314,0.0004810805,0.0005583459,0.00039949626,0.0028751618,0.0011006709,0.0005686028,0.77889395,0.16010205,0.00070590805],"about_ca_topic_score_codex":0.00000481279,"about_ca_topic_score_gemma":0.000001161784,"teacher_disagreement_score":0.18295375,"about_ca_system_score_codex":0.00018787598,"about_ca_system_score_gemma":0.00024426778,"threshold_uncertainty_score":0.633596},"labels":[],"label_agreement":null},{"id":"W7113914897","doi":"","title":"Isoperiodic deformations of Abelian differentials of the second kind over elliptic curves and the Boussinesq equation","year":2025,"lang":"","type":"article","venue":"ArXiv.org","topic":"Geometric and Algebraic Topology","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 Sherbrooke","keywords":"Ordinary differential equation; Differential equation; Abelian group; Exact differential equation; Basis (linear algebra); Position (finance); Order (exchange); Genus","score_opus":0.030879811051011563,"score_gpt":0.27350337398902413,"score_spread":0.24262356293801257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7113914897","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9842221,0.007060338,0.0018402422,0.003946383,0.0005891961,0.000830268,0.000053911688,0.00001045248,0.0014470919],"genre_scores_gemma":[0.993285,0.00093967374,0.000044830136,0.0005158644,0.000040618856,0.000024404275,0.000005353169,0.000014474711,0.0051297895],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9976645,0.00037300526,0.0011626306,0.00023607667,0.00027217148,0.00029159407],"domain_scores_gemma":[0.9968741,0.0012866446,0.00085659674,0.0007510012,0.00018810673,0.000043554952],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007523149,0.000256431,0.0006864636,0.00024938755,0.0003496688,0.000035006,0.00044254493,0.00018083317,0.0015242365],"category_scores_gemma":[0.0013464356,0.0001426389,0.00023502,0.0011325821,0.0013045206,0.00015655282,0.00031254295,0.0002712669,0.00001883857],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018753855,0.001028305,0.6891527,0.010810348,0.0015027447,9.837648e-7,0.011029722,0.000025115845,0.004073416,0.27381873,0.0041869143,0.004183493],"study_design_scores_gemma":[0.004151676,0.00011310059,0.9157024,0.0015050439,0.001311586,0.000008344557,0.0015340097,0.0014121066,0.0101520475,0.06240715,0.0013966212,0.00030590052],"about_ca_topic_score_codex":0.00007774815,"about_ca_topic_score_gemma":0.0000860343,"teacher_disagreement_score":0.22654971,"about_ca_system_score_codex":0.000027188156,"about_ca_system_score_gemma":0.00018107062,"threshold_uncertainty_score":0.9993885},"labels":[],"label_agreement":null},{"id":"W7115030495","doi":"","title":"Compact cores and stabilized subgroup chains for 2-complexes with negative immersions","year":2025,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Geometric and Algebraic Topology","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":"Boundary (topology); Group (periodic table); Product (mathematics); Work (physics)","score_opus":0.03796874295123022,"score_gpt":0.2960467108518119,"score_spread":0.2580779679005817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7115030495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9657993,0.00027600426,0.0000097694465,0.000076206015,0.0005608738,0.0021443202,0.0026677884,0.00023077866,0.028234988],"genre_scores_gemma":[0.9680126,0.00014076936,0.004193443,0.0001486313,0.000038790968,0.00024141835,0.0009909099,0.00016649676,0.026066985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996399,0.0002859714,0.00085265917,0.0011101001,0.00050948904,0.0008428151],"domain_scores_gemma":[0.99348,0.0042356593,0.00074245105,0.00066875503,0.00055645255,0.0003166471],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0006448954,0.00089365203,0.0014989688,0.00087141636,0.0013696551,0.00007788924,0.00051412825,0.00067410915,0.0002487703],"category_scores_gemma":[0.003071324,0.00076947734,0.00033867976,0.00095078954,0.00019201805,0.00029253223,0.000093834315,0.0010246137,0.000013984793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012824218,0.00043197031,0.000115338924,0.0016048611,0.0008965923,0.00002130568,0.000082037106,0.0000033835247,0.0037186958,0.9778719,0.000110083754,0.013861425],"study_design_scores_gemma":[0.00915427,0.0017251101,0.004873079,0.001607295,0.0020449234,0.000056634333,0.009402283,0.000081563376,0.046062954,0.90036,0.021910666,0.0027212058],"about_ca_topic_score_codex":0.00041334846,"about_ca_topic_score_gemma":0.0034316618,"teacher_disagreement_score":0.07751187,"about_ca_system_score_codex":0.00030837455,"about_ca_system_score_gemma":0.00012199032,"threshold_uncertainty_score":0.99993044},"labels":[],"label_agreement":null},{"id":"W7117410656","doi":"10.1093/imrn/rnaf354","title":"On Certain <i>C</i> 0-Aspects of Contactomorphism Groups","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Courtois Foundation","keywords":"Conjugacy class; Norm (philosophy); Bounded function; Connection (principal bundle); Property (philosophy)","score_opus":0.1057329572453326,"score_gpt":0.4341122447048653,"score_spread":0.3283792874595327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117410656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.504949,0.00007529028,0.006282571,0.0041133664,0.0006817542,0.00046610273,0.000030036912,0.000060414597,0.48334152],"genre_scores_gemma":[0.9896953,0.000017549939,0.0041791983,0.000113362454,0.000066182256,0.000034028064,0.0000050456406,0.000015970625,0.005873361],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99759537,0.00014024826,0.00054940075,0.0002646717,0.0011045985,0.0003457234],"domain_scores_gemma":[0.98958653,0.009125097,0.0001993199,0.00041044518,0.00061078445,0.00006782329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016218422,0.0001506737,0.00034356944,0.0011266185,0.00009770739,0.000057661648,0.0008653737,0.00011441717,0.000866899],"category_scores_gemma":[0.008203353,0.00012578238,0.00010738841,0.0006748209,0.00027172812,0.0000934921,0.00024052245,0.0003990239,0.00014025466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036513968,0.0006701591,0.00014275385,0.00023809742,0.00016050489,0.000015997657,0.00036773633,0.000007836788,0.0004216977,0.9912938,0.006059066,0.0005858446],"study_design_scores_gemma":[0.0005571202,0.00012847525,0.0002675043,0.00028314648,0.000016532627,0.0000037332902,0.00056961615,0.0011768667,0.0042979326,0.9906341,0.0019677824,0.00009723299],"about_ca_topic_score_codex":0.000056255554,"about_ca_topic_score_gemma":0.000045126562,"teacher_disagreement_score":0.48474634,"about_ca_system_score_codex":0.00011918812,"about_ca_system_score_gemma":0.00012529569,"threshold_uncertainty_score":0.9820772},"labels":[],"label_agreement":null},{"id":"W7117706614","doi":"10.1142/s1793830925501952","title":"Hamiltonicity in generalized quasi-dihedral groups","year":2025,"lang":"en","type":"article","venue":"Discrete Mathematics Algorithms and Applications","topic":"Geometric and Algebraic Topology","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":"Dihedral group; Cayley graph; Free product; Dihedral angle; Quartic graph; Graph; Semidirect product; Hamiltonian (control theory); Cyclic group","score_opus":0.02290419757695057,"score_gpt":0.3173159408806792,"score_spread":0.29441174330372866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117706614","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1410677,0.00074122683,0.83909845,0.0016960304,0.000089412926,0.0013798529,0.000052792526,0.00017123949,0.015703287],"genre_scores_gemma":[0.6880594,0.0004087393,0.30393293,0.00041888547,0.00016816496,0.001523686,0.000055525747,0.000059360493,0.0053732917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986317,0.000035131092,0.0005332937,0.00034119925,0.00014638186,0.00031228765],"domain_scores_gemma":[0.9988593,0.0004324323,0.00013236981,0.0004475954,0.00005261514,0.00007570037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036584397,0.00020635132,0.00041435007,0.00029769202,0.00016744102,0.000056350695,0.00024074459,0.00012875586,0.000055469965],"category_scores_gemma":[0.00013697983,0.00018092425,0.000080221624,0.0008257772,0.00014813467,0.00006308732,0.00014843623,0.00018695177,0.000013481078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000019079764,0.00027348328,0.00024378824,0.00018022145,0.000028774048,0.0000012330225,0.00029229422,0.0000026300386,0.000041056686,0.99237853,0.0003042847,0.006251764],"study_design_scores_gemma":[0.00070074946,0.000022086466,0.0008182372,0.000050620485,0.000063703206,0.000008095884,0.00075564755,0.010765729,0.00011329628,0.98350966,0.0029792509,0.00021293372],"about_ca_topic_score_codex":0.00005162207,"about_ca_topic_score_gemma":0.000043309257,"teacher_disagreement_score":0.5469917,"about_ca_system_score_codex":0.00004008066,"about_ca_system_score_gemma":0.00004243111,"threshold_uncertainty_score":0.7377877},"labels":[],"label_agreement":null},{"id":"W7118559915","doi":"10.1090/tran/9534","title":"Nil 3-manifolds and cusps of complex hyperbolic surfaces","year":2025,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Commensurability (mathematics); Cusp (singularity); Hyperbolic triangle; Hyperbolic 3-manifold; Ultraparallel theorem; Hyperbolic manifold","score_opus":0.028200817913197788,"score_gpt":0.30257216229220596,"score_spread":0.2743713443790082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7118559915","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88577116,0.000090516376,0.10835826,0.0020293938,0.000042165175,0.00022982658,0.000025425405,0.000043395008,0.003409859],"genre_scores_gemma":[0.9648191,0.000079788544,0.033944935,0.00012184587,0.000005378917,0.000007339805,2.8754155e-7,0.000010117059,0.0010112367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902403,0.000068231435,0.00040384076,0.00014523994,0.00018117836,0.0001774993],"domain_scores_gemma":[0.9982362,0.0010595089,0.00023293322,0.00036987234,0.00006220025,0.00003933384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025161647,0.0001285059,0.0005370568,0.000045854726,0.000115835996,0.000006174383,0.00026373073,0.000049938368,0.00020603597],"category_scores_gemma":[0.00010384369,0.00008715719,0.00031370274,0.0007902306,0.0012625841,0.00003016215,0.00003474782,0.00014584976,0.0000023183031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008689154,0.003018909,0.0044010235,0.0037776043,0.0023177979,6.700752e-7,0.007848703,0.0001615957,0.02246553,0.92262316,0.011706691,0.021591436],"study_design_scores_gemma":[0.0008542676,0.00020233818,0.019307405,0.00017770032,0.000747762,0.000019892963,0.0070751454,0.003667529,0.007350643,0.9595921,0.0007049389,0.00030026495],"about_ca_topic_score_codex":0.00009907185,"about_ca_topic_score_gemma":0.000004405318,"teacher_disagreement_score":0.07904791,"about_ca_system_score_codex":0.000018286379,"about_ca_system_score_gemma":0.000037945203,"threshold_uncertainty_score":0.4652044},"labels":[],"label_agreement":null},{"id":"W7128067314","doi":"10.5287/ora-exkw8zo8r","title":"L²-Betti numbers and kernels of maps to ℤ","year":2025,"lang":"en","type":"dissertation","venue":"Open MIND","topic":"Geometric and Algebraic Topology","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":"Epimorphism; Kernel (algebra); Group (periodic table); Type (biology); Cohomological dimension; Dimension (graph theory); Algebraically closed field; Connection (principal bundle)","score_opus":0.06280594467660221,"score_gpt":0.38452559097199096,"score_spread":0.32171964629538874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7128067314","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66334915,0.00014577617,0.000035547815,0.00014990356,0.00033371014,0.0005598249,0.00007744346,0.0000013780575,0.33534727],"genre_scores_gemma":[0.20008528,0.00003388983,0.02936725,0.000064201275,0.000060789527,0.00004152286,0.0003460762,0.000034014716,0.76996696],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99910665,0.000028763563,0.00030870037,0.00028514012,0.00012235474,0.00014837609],"domain_scores_gemma":[0.9991647,0.00026758245,0.00018088038,0.00025526868,0.000069429705,0.00006211206],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00021552101,0.00015250893,0.0004488112,0.00022605082,0.000033757766,0.000040489682,0.0003944818,0.00021601892,0.0023081165],"category_scores_gemma":[0.0004418989,0.00014545488,0.0000465082,0.00031253934,0.000017866854,0.000038463386,0.0001372242,0.00012733132,0.000106611624],"study_design_candidate":"design_other","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":[0.00027468923,0.0003380942,0.0007314061,0.0011178221,0.0005581283,0.000035888454,0.012565064,9.200396e-7,0.00046004812,0.034246456,0.09065227,0.8590192],"study_design_scores_gemma":[0.003554466,0.0006608224,0.00779477,0.0026783429,0.001445852,0.000029644063,0.034068227,0.0000073205892,0.047825243,0.3604175,0.53946733,0.0020504869],"about_ca_topic_score_codex":0.0001752898,"about_ca_topic_score_gemma":0.00072739716,"teacher_disagreement_score":0.8569687,"about_ca_system_score_codex":0.000015056151,"about_ca_system_score_gemma":0.00012368194,"threshold_uncertainty_score":0.9986039},"labels":[],"label_agreement":null},{"id":"W7132875772","doi":"","title":"On Braidors: An Analogue of the Theory of Drinfel&apos;d Associators for Braids in an Annulus","year":2020,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"University of Toronto","keywords":"Braid; Annulus (botany); Bijection; Space (punctuation); Algebra over a field; Computation","score_opus":0.063588611376082,"score_gpt":0.398664238049528,"score_spread":0.335075626673446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132875772","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99325126,0.00017941181,0.0010276549,0.00050959643,0.0008139683,0.001552604,0.00016860696,0.000033057157,0.002463825],"genre_scores_gemma":[0.9950986,0.000027687836,0.0008115545,0.00020422791,0.00014991219,0.0000614231,0.0003113688,0.000116340634,0.0032189062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955831,0.0010424393,0.001351537,0.00076115556,0.00064131053,0.0006204395],"domain_scores_gemma":[0.9927515,0.0034794135,0.0020541898,0.0010717579,0.00043592943,0.00020725367],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016709544,0.0006336437,0.0016540535,0.0007513525,0.00014498008,0.00002884701,0.0011514201,0.0009804402,0.0003965397],"category_scores_gemma":[0.0068214717,0.0005256121,0.00058619905,0.0019664366,0.00028618763,0.00015887489,0.000106366395,0.00079451024,0.000008771904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001347537,0.0025117493,0.008803845,0.002246469,0.000554765,0.0000061045166,0.12771842,0.00014994334,0.0017919384,0.84765327,0.00053231727,0.00668364],"study_design_scores_gemma":[0.0055352976,0.009024252,0.07973983,0.001255766,0.0013157917,0.000005229382,0.20852959,0.0015341489,0.023818567,0.6671435,0.00046228434,0.001635724],"about_ca_topic_score_codex":0.00022601138,"about_ca_topic_score_gemma":0.0012350334,"teacher_disagreement_score":0.18050976,"about_ca_system_score_codex":0.00013335982,"about_ca_system_score_gemma":0.0005319289,"threshold_uncertainty_score":0.99971956},"labels":[],"label_agreement":null},{"id":"W7132950257","doi":"","title":"A Proof of the Kashaev Signature Conjecture","year":2025,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Corollary; Invariant (physics); Signature (topology); Conjecture; Simple (philosophy)","score_opus":0.019529663930582555,"score_gpt":0.33085682425846663,"score_spread":0.3113271603278841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7132950257","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75981766,0.024002708,0.0029770317,0.011942437,0.010497232,0.007146842,0.00020224926,0.0001543162,0.1832595],"genre_scores_gemma":[0.69837755,0.000055687447,0.0004468887,0.0001604755,0.0001341452,0.000041935313,0.000061036204,0.000042738036,0.30067953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732625,0.0002681304,0.0007515829,0.000571939,0.0005828151,0.0004993073],"domain_scores_gemma":[0.9960746,0.001062534,0.0012458061,0.0011366056,0.00040178254,0.000078661295],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00033058564,0.00060996145,0.0011334956,0.00039894928,0.00022591437,0.000027587752,0.0010245901,0.001612045,0.0022462513],"category_scores_gemma":[0.0025368666,0.00041434425,0.00058875076,0.002085572,0.00018899978,0.000030200994,0.00019080953,0.0016327709,0.000016493083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00068006973,0.0022200344,0.0007384943,0.031403266,0.0034446516,0.000047877613,0.15193795,0.00033537843,0.0046609347,0.649168,0.12490848,0.030454885],"study_design_scores_gemma":[0.0059874556,0.00126593,0.0046308134,0.010384061,0.0069077327,0.00008651336,0.11950354,0.00074236345,0.30106652,0.46993357,0.076162,0.0033294926],"about_ca_topic_score_codex":0.0001119759,"about_ca_topic_score_gemma":0.00022345743,"teacher_disagreement_score":0.29640558,"about_ca_system_score_codex":0.00007153535,"about_ca_system_score_gemma":0.0009715326,"threshold_uncertainty_score":0.99983084},"labels":[],"label_agreement":null},{"id":"W7133009661","doi":"","title":"On the Gassner Invariant of Braids and String links","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Invariant (physics); Homology (biology); Unitary state; Subspace topology; Braid; Orthogonal complement; Associative property","score_opus":0.03613588823078382,"score_gpt":0.34024518951757654,"score_spread":0.3041093012867927,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133009661","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97481215,0.0025882863,0.00044036488,0.00287816,0.0010030697,0.00056152145,0.000012430339,0.0000387947,0.017665198],"genre_scores_gemma":[0.9410167,0.0003897652,0.00036996862,0.00013853388,0.00014671012,0.000022365133,0.000022423508,0.000070841066,0.0578227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979399,0.00016213149,0.00060218555,0.00050156977,0.00041544475,0.00037875623],"domain_scores_gemma":[0.9953465,0.003403352,0.00045949247,0.0005750538,0.00011906599,0.00009657361],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008062664,0.00043948105,0.0007164064,0.00050300395,0.000122015656,0.00008141454,0.00032105236,0.0008849289,0.0017347247],"category_scores_gemma":[0.0021168438,0.00029671777,0.00018836655,0.00083743775,0.00016983539,0.000031706488,0.00013461876,0.0016158981,0.00016321125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060011374,0.000112173315,0.00003618568,0.0015454458,0.00036032408,0.000021687154,0.03374053,0.000006753324,0.00047832206,0.9589073,0.0025092633,0.0022219704],"study_design_scores_gemma":[0.0012954626,0.0014900548,0.0022000505,0.0041881097,0.0021151756,0.00006666418,0.13329919,0.0016440011,0.0104057165,0.83768976,0.004290546,0.0013152828],"about_ca_topic_score_codex":0.00017674678,"about_ca_topic_score_gemma":0.000060331622,"teacher_disagreement_score":0.12121758,"about_ca_system_score_codex":0.00003677606,"about_ca_system_score_gemma":0.00017825587,"threshold_uncertainty_score":0.9999485},"labels":[],"label_agreement":null},{"id":"W7133050501","doi":"","title":"The SO(4) Verlinde Formula Using Real Polarization","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Moduli space; Quantization (signal processing); Hilbert space; Hamiltonian (control theory); Moduli; Graph; Dimension (graph theory)","score_opus":0.05824025709720488,"score_gpt":0.3949625924534187,"score_spread":0.3367223353562138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133050501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98018587,0.00073739677,0.005769972,0.00067753415,0.0050331694,0.0011272206,0.000013889946,0.0002714306,0.006183538],"genre_scores_gemma":[0.6090433,0.0027534293,0.002968411,0.000080708385,0.0012902444,0.000060651448,0.0007763185,0.00045231244,0.38257462],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.99662125,0.00022368516,0.0008883688,0.0006005928,0.00071788754,0.0009482229],"domain_scores_gemma":[0.9957303,0.0018735634,0.0010522234,0.00082216616,0.00035896036,0.00016280086],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0009560387,0.000584689,0.0006801461,0.00048496382,0.0019195994,0.00031351548,0.00059418724,0.0009803777,0.00025549234],"category_scores_gemma":[0.0019608338,0.00047787573,0.00031400158,0.001806042,0.00019754529,0.00010994194,0.00013869886,0.0008264596,0.0005365734],"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":[0.0010201243,0.00078747905,0.0028674728,0.0035909244,0.0026109235,0.00016352534,0.23250918,0.00073434424,0.01042668,0.6510147,0.007276482,0.086998165],"study_design_scores_gemma":[0.005949464,0.0012470538,0.026775017,0.0020115874,0.0051356885,0.00015277456,0.47925252,0.08620534,0.006696542,0.34957752,0.031411994,0.005584526],"about_ca_topic_score_codex":0.0023517145,"about_ca_topic_score_gemma":0.0012066081,"teacher_disagreement_score":0.37639105,"about_ca_system_score_codex":0.00023811731,"about_ca_system_score_gemma":0.0007022667,"threshold_uncertainty_score":0.9997673},"labels":[],"label_agreement":null},{"id":"W7133061688","doi":"","title":"Hyperbolicity and Rational Points on Complex Ball Quotients","year":2024,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Modulo; Quotient; Geodesic; Ball (mathematics); Bundle; General position; Upper and lower bounds; Toroid","score_opus":0.05883204943649311,"score_gpt":0.3752910229896076,"score_spread":0.3164589735531145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133061688","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95237887,0.00066656846,0.00020133033,0.0024002735,0.0019564119,0.00069572264,0.000059138463,0.00010386973,0.04153781],"genre_scores_gemma":[0.91199017,0.00020719795,0.0014953006,0.00055067835,0.0004049404,0.00003394087,0.00064321933,0.00010507639,0.08456951],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99710613,0.00015586663,0.00063891034,0.00086835085,0.0006859491,0.0005447621],"domain_scores_gemma":[0.99795866,0.00081015466,0.0003576677,0.00042927417,0.00019564014,0.00024859598],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00035060328,0.00064787315,0.00083935424,0.0006598104,0.00027398297,0.00014648505,0.00027402805,0.0005973322,0.0045808223],"category_scores_gemma":[0.0007850565,0.0006270635,0.00019993079,0.0006254446,0.00016833477,0.00006176311,0.00012531654,0.0008093159,0.0019508029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005694306,0.0016340517,0.0009957355,0.004199984,0.0011089008,0.000113733986,0.057835713,0.000023595312,0.001146056,0.8495876,0.074962504,0.007822692],"study_design_scores_gemma":[0.008139107,0.0037535408,0.161816,0.0037128602,0.0032429995,0.00034438565,0.07841448,0.011800456,0.0027349156,0.62273574,0.0973523,0.0059531867],"about_ca_topic_score_codex":0.00017156155,"about_ca_topic_score_gemma":0.00011119769,"teacher_disagreement_score":0.22685184,"about_ca_system_score_codex":0.00011655295,"about_ca_system_score_gemma":0.00018048397,"threshold_uncertainty_score":0.99961805},"labels":[],"label_agreement":null},{"id":"W7133082558","doi":"","title":"Equivalent Topologies on the Contracting Boundary","year":2022,"lang":"","type":"dissertation","venue":"TSpace","topic":"Geometric and Algebraic Topology","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":"Boundary (topology); Geodesic; Bounded function; Generalization; Metric (unit); Constant (computer programming); Function (biology); Topology (electrical circuits)","score_opus":0.0779475237576963,"score_gpt":0.39987886300409425,"score_spread":0.32193133924639794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7133082558","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7876638,0.0042662816,0.00018697232,0.016309634,0.0068268282,0.001554834,0.000030789404,0.00022215175,0.18293871],"genre_scores_gemma":[0.82692033,0.0006262694,0.00021734997,0.0009128483,0.0004179947,0.00024861883,0.00012536722,0.00011308334,0.17041813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9958114,0.0006826497,0.00081202405,0.0007756993,0.0009523701,0.0009658763],"domain_scores_gemma":[0.9877235,0.009647599,0.0012516831,0.0011211119,0.00014217375,0.000113901646],"candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0015658687,0.0007136704,0.00093126995,0.00040155408,0.001999334,0.0002028055,0.0010483265,0.00048145137,0.05899264],"category_scores_gemma":[0.0069745895,0.0005328194,0.0004651571,0.0007905102,0.00034472998,0.0000643988,0.00032501123,0.0024040195,0.00052964414],"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":[0.0006374507,0.0010260021,0.00015770293,0.0008373859,0.0010088584,0.00020483414,0.08121459,0.000064265885,0.00038441442,0.84759736,0.045774266,0.021092871],"study_design_scores_gemma":[0.0009036439,0.0012372289,0.00073300273,0.00024340201,0.0006039328,0.00006454961,0.7263004,0.00011814329,0.001804377,0.09543054,0.17144676,0.0011140207],"about_ca_topic_score_codex":0.00035111883,"about_ca_topic_score_gemma":0.000069703085,"teacher_disagreement_score":0.7521668,"about_ca_system_score_codex":0.00033658644,"about_ca_system_score_gemma":0.00047281606,"threshold_uncertainty_score":0.9998975},"labels":[],"label_agreement":null},{"id":"W7139250653","doi":"","title":"Flat Symplectic Bundles over a Riemann Surface","year":2025,"lang":"","type":"dissertation","venue":"TSpace (University of Toronto)","topic":"Geometric and Algebraic Topology","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":"Riemann surface; Symplectic geometry; Moduli space; Holonomy; Surface (topology); Commutator; Vector bundle; Isomorphism (crystallography); Space (punctuation); Type (biology)","score_opus":0.019038273544452068,"score_gpt":0.2728980932950285,"score_spread":0.2538598197505764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7139250653","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81053436,0.005500474,0.0013106605,0.00045978895,0.0014319242,0.0008460721,0.00013215028,0.0001266069,0.17965797],"genre_scores_gemma":[0.7818313,0.00203816,0.0024788447,0.000020106083,0.00005597004,3.675429e-7,0.00023440634,0.00004283032,0.213298],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.996964,0.00026255756,0.0004448037,0.00091800524,0.000643687,0.0007669541],"domain_scores_gemma":[0.99623966,0.0009883201,0.0011215117,0.0009824159,0.00041672387,0.0002513664],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00036622764,0.0007200697,0.0016049956,0.0002725852,0.00064102333,0.000038560043,0.0010383244,0.0011255161,0.098656006],"category_scores_gemma":[0.00032494892,0.0009766864,0.000570531,0.00053432415,0.00028459917,0.00051120215,0.00034302723,0.0005441471,0.00015054196],"study_design_candidate":"qualitative","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":[0.004955288,0.0041349377,0.005691288,0.028156854,0.013399917,0.0005526577,0.3441427,0.00034668256,0.0048002037,0.43615633,0.061868984,0.09579414],"study_design_scores_gemma":[0.012126152,0.0027718619,0.2627251,0.0037219443,0.012240258,0.000045389435,0.6553737,0.0043438193,0.0010369952,0.01928039,0.02079632,0.005538046],"about_ca_topic_score_codex":0.21594955,"about_ca_topic_score_gemma":0.22144909,"teacher_disagreement_score":0.41687596,"about_ca_system_score_codex":0.0008504829,"about_ca_system_score_gemma":0.00073694764,"threshold_uncertainty_score":0.99926835},"labels":[],"label_agreement":null},{"id":"W7140697633","doi":"10.5802/jolt.915","title":"Upper Bound for the Gromov Width of Coadjoint Orbits of Compact Lie Groups","year":2016,"lang":"en","type":"article","venue":"Journal of Lie theory","topic":"Geometric and Algebraic Topology","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":"Upper and lower bounds; Lie group; Simple Lie group; Compact group; Lie algebra; Group (periodic table)","score_opus":0.04724540938745073,"score_gpt":0.313318936066702,"score_spread":0.26607352667925127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7140697633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9636398,0.0012726721,0.031065011,0.0019927085,0.00048515666,0.00018839554,0.000023572908,0.0000074132236,0.0013252519],"genre_scores_gemma":[0.997465,0.00009743136,0.0012402065,0.00008419574,0.00023215877,8.9896196e-7,1.8207628e-7,0.000019807165,0.00086011953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856067,0.00014985877,0.00074475067,0.000076219716,0.00026438272,0.00020412456],"domain_scores_gemma":[0.99263734,0.005665255,0.0011055878,0.00026062375,0.00026229947,0.00006887453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023106437,0.00012370976,0.0005283186,0.00019691848,0.000057576977,0.000007261714,0.00037055436,0.0000801274,0.0004984206],"category_scores_gemma":[0.0018019095,0.00005636845,0.00031803973,0.0001477186,0.00033526926,0.00009003924,0.000042919637,0.0001395129,0.00000660992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062659185,0.00038340854,0.0009520733,0.00014141954,0.0005104751,0.000007167846,0.0009079488,0.0000017330998,0.006511161,0.9696222,0.009780512,0.0105552925],"study_design_scores_gemma":[0.0013490642,0.00068938744,0.003718759,0.0001722196,0.00018667166,0.00016296055,0.00060579926,0.0000024774713,0.010920547,0.9806249,0.0014845768,0.00008260321],"about_ca_topic_score_codex":0.0000024146216,"about_ca_topic_score_gemma":0.0000014269007,"teacher_disagreement_score":0.03382518,"about_ca_system_score_codex":0.000031412274,"about_ca_system_score_gemma":0.00008420723,"threshold_uncertainty_score":0.5457356},"labels":[],"label_agreement":null},{"id":"W7154388766","doi":"10.4310/jsg.260408010956","title":"Non-isotopic symplectic tori in elliptic surfaces","year":2025,"lang":"en","type":"article","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","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":"Torus; Symplectic geometry; Symplectomorphism; Symplectic representation; Logarithm; Clifford torus; Pairwise comparison; Symplectic vector space","score_opus":0.01912051609816582,"score_gpt":0.31474924245009134,"score_spread":0.2956287263519255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7154388766","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98831856,0.0013485037,0.0034026643,0.0010831278,0.0016586175,0.00020414472,0.0000010430658,0.000022538423,0.0039607836],"genre_scores_gemma":[0.99568206,0.00014669895,0.0016984715,0.00020551206,0.00019028634,0.000005142165,4.052075e-7,0.00002148011,0.002049921],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974585,0.00012011905,0.0011938339,0.00024906243,0.00042834633,0.000550097],"domain_scores_gemma":[0.9969258,0.0017674759,0.00056234875,0.00033945113,0.00027988214,0.00012508592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013624451,0.00025645806,0.00083602715,0.0026793503,0.00010170115,0.00005940757,0.0005003379,0.00021476495,0.00035053687],"category_scores_gemma":[0.003098861,0.00021973258,0.00023156602,0.004113595,0.0000884944,0.0001958658,0.000101278594,0.00067970995,0.000029006213],"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":[0.00023424657,0.0019162977,0.75353605,0.0015517303,0.0011334597,0.00052579853,0.001602323,0.00040548062,0.0024232836,0.20917745,0.018112823,0.009381052],"study_design_scores_gemma":[0.0037162513,0.0008120885,0.2014959,0.0005385022,0.00035095707,0.0005924143,0.001550784,0.00027034152,0.0016135235,0.78609467,0.0024549412,0.00050965685],"about_ca_topic_score_codex":0.00003683153,"about_ca_topic_score_gemma":0.000046115078,"teacher_disagreement_score":0.5769172,"about_ca_system_score_codex":0.00031915517,"about_ca_system_score_gemma":0.0003523879,"threshold_uncertainty_score":0.8960434},"labels":[],"label_agreement":null},{"id":"W7504331","doi":"10.1007/978-3-662-04166-6_4","title":"Equations over Free and Fully Residually Free Groups","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Geometric and Algebraic Topology","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":"Computer science","score_opus":0.038383815089142674,"score_gpt":0.26488910469281,"score_spread":0.22650528960366734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7504331","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00030423625,0.00057771616,0.0026732946,0.0011242518,0.00014319149,0.0002980369,0.00014304472,0.00016893393,0.9945673],"genre_scores_gemma":[0.0020146854,0.00028224676,0.008276136,0.0004942862,0.0003458677,0.000010309366,0.00003545838,0.00008905977,0.98845196],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839586,0.000018315022,0.00048779542,0.0004385067,0.00036380533,0.00029569352],"domain_scores_gemma":[0.9973658,0.001083987,0.00018675288,0.0011727528,0.00006119567,0.00012954678],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00019978768,0.00037016987,0.00052672974,0.00042728477,0.000113451315,0.000043854725,0.00048704018,0.00058774266,0.028518002],"category_scores_gemma":[0.000610169,0.00032467145,0.00013387788,0.00006365827,0.0001909029,0.00006784343,0.00034472745,0.00040428384,0.00028346953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006996772,0.00001742894,0.0000043102896,0.000032810294,0.00008775885,0.000018237957,0.00006815907,1.2425023e-7,7.847075e-7,0.87662,0.12091824,0.0022251436],"study_design_scores_gemma":[0.00056205207,0.00008662642,0.00007456794,0.00003752286,0.00013738903,0.000021737229,0.000015028562,0.000005866013,0.0000019725214,0.8906016,0.10812947,0.00032616768],"about_ca_topic_score_codex":0.00006019096,"about_ca_topic_score_gemma":0.0004921031,"teacher_disagreement_score":0.028234532,"about_ca_system_score_codex":0.000034632576,"about_ca_system_score_gemma":0.00007787119,"threshold_uncertainty_score":0.99992055},"labels":[],"label_agreement":null},{"id":"W848247811","doi":"10.5802/aif.3066","title":"Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics","year":2016,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","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":"Western University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Symplectic geometry; Mathematics; Pure mathematics; Symplectomorphism; Ideal (ethics); Symplectic representation; Moment map; Simple (philosophy); Hamiltonian system; Hamiltonian (control theory); Graph; Morse code; Symplectic matrix; Mathematical analysis; Computer science; Discrete mathematics; Mathematical optimization","score_opus":0.03770055559003964,"score_gpt":0.2942848923969901,"score_spread":0.2565843368069505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W848247811","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98622996,0.0019147389,0.0070612826,0.00057227915,0.00043864833,0.000375232,0.00020437117,0.00005288812,0.003150611],"genre_scores_gemma":[0.9942703,0.0007012729,0.0042951647,0.00003663844,0.00009917832,0.000015082397,0.000019278916,0.000042990447,0.00052004727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978666,0.000112114714,0.00078953203,0.0004524872,0.000353884,0.00042543086],"domain_scores_gemma":[0.99752706,0.0006585951,0.00078886835,0.00065725535,0.0002166907,0.00015153059],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005183652,0.00038247788,0.0010529803,0.0003807078,0.00007571675,0.00001812818,0.00039738568,0.0005044657,0.000113519556],"category_scores_gemma":[0.0010235516,0.0003075624,0.00022079458,0.00019568263,0.00083905214,0.00006223141,0.00068776245,0.00041575465,0.000007419244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002559662,0.0009295231,0.04821711,0.007713841,0.002229794,0.00027313817,0.0035643352,0.0006947755,0.0019223108,0.9210432,0.005267609,0.007888384],"study_design_scores_gemma":[0.0011211304,0.00027461545,0.008293593,0.001018715,0.00052791694,0.00024985563,0.00012008609,0.0024357599,0.0020054337,0.9820919,0.0011920261,0.00066894107],"about_ca_topic_score_codex":0.00010412026,"about_ca_topic_score_gemma":0.00010117251,"teacher_disagreement_score":0.061048713,"about_ca_system_score_codex":0.00006623925,"about_ca_system_score_gemma":0.0002890182,"threshold_uncertainty_score":0.99993765},"labels":[],"label_agreement":null},{"id":"W850942219","doi":"10.5802/aif.3128","title":"McShane-type identities for affine deformations","year":2017,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Corollary; Affine transformation; Infinitesimal; Simple (philosophy); Type (biology); Pure mathematics; Mathematics; Identity (music); Boundary (topology); Face (sociological concept); Deformation (meteorology); Mathematical analysis; Geometry; Geology; Philosophy; Aesthetics; Epistemology","score_opus":0.11374738720568428,"score_gpt":0.3719563580549689,"score_spread":0.2582089708492846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W850942219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5613081,0.008790838,0.20628287,0.011663,0.015770614,0.0051046233,0.0016424988,0.0011959804,0.18824151],"genre_scores_gemma":[0.8320608,0.0013066377,0.07461494,0.0007619817,0.0029698615,0.000560512,0.000724831,0.00014677185,0.08685365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821085,0.000041282463,0.0005169785,0.0003915742,0.00026872614,0.00057056436],"domain_scores_gemma":[0.9975177,0.0003301398,0.00052358245,0.0010988244,0.00038143553,0.00014828845],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005347878,0.00037641148,0.0006095918,0.0003965595,0.0005857251,0.00023849825,0.0008649318,0.0005434487,0.00043122453],"category_scores_gemma":[0.0029377749,0.0003577201,0.00035056504,0.00011100418,0.0003282738,0.00023668181,0.0006103584,0.00051325903,0.00015839605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092711525,0.00029982417,0.0009622874,0.002416322,0.0009418125,0.0000850132,0.0024917957,0.000448869,0.000014203889,0.5713141,0.41096032,0.009972715],"study_design_scores_gemma":[0.0004952219,0.00006957695,0.00026083438,0.00019095189,0.0003207885,0.00008066749,0.00013908875,0.00066264195,0.00013675845,0.7329792,0.2641991,0.0004652094],"about_ca_topic_score_codex":0.000052611766,"about_ca_topic_score_gemma":0.00015146795,"teacher_disagreement_score":0.27075273,"about_ca_system_score_codex":0.00009833405,"about_ca_system_score_gemma":0.0005333628,"threshold_uncertainty_score":0.99988747},"labels":[],"label_agreement":null},{"id":"W9364528","doi":"10.1007/978-0-8176-4719-3_10","title":"Tangles and 2-Bridge Knots","year":2008,"lang":"en","type":"book-chapter","venue":"Birkhäuser Boston eBooks","topic":"Geometric and Algebraic Topology","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":"Knot (papermaking); Knot theory; Tangle; Mathematics; Skein relation; Algebraic number; Tricolorability; Knot invariant; Pure mathematics; Engineering; Mathematical analysis","score_opus":0.08498860668877323,"score_gpt":0.2801998176155206,"score_spread":0.19521121092674737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W9364528","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004468623,0.0019890417,0.00016609264,0.00014969317,0.00041036532,0.0004905864,0.0000731278,0.00030967538,0.9919428],"genre_scores_gemma":[0.02222204,0.00038845895,0.0014398731,0.00036662276,0.00041726587,0.000019185076,0.000016900305,0.00020882582,0.9749208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99799454,0.00002596457,0.00054192595,0.0006227005,0.00036774483,0.0004471299],"domain_scores_gemma":[0.99827063,0.0003984961,0.00034706254,0.000674776,0.00009787087,0.0002111347],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00015719575,0.00059508916,0.0008300964,0.0005022886,0.00018334766,0.00003066421,0.0002884308,0.0007358479,0.00049192907],"category_scores_gemma":[0.00012413845,0.0005498942,0.00021670788,0.000026080137,0.00046792201,0.00003372721,0.00025748642,0.0005353464,0.00030246977],"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":[0.000025766834,0.00002616756,0.000039085415,0.0001694455,0.00019360847,0.00037569937,0.0006573328,1.7678655e-8,0.000023480781,0.8946037,0.07825547,0.025630197],"study_design_scores_gemma":[0.0004656912,0.000116185234,0.00021366455,0.00011946085,0.00012784307,0.0004198189,0.000011641745,8.3158574e-7,0.00009376218,0.29916552,0.69867474,0.0005908363],"about_ca_topic_score_codex":0.000024994062,"about_ca_topic_score_gemma":0.000028808267,"teacher_disagreement_score":0.62041926,"about_ca_system_score_codex":0.00005684881,"about_ca_system_score_gemma":0.00011357958,"threshold_uncertainty_score":0.99969524},"labels":[],"label_agreement":null},{"id":"W950067598","doi":"10.1007/978-3-642-31564-0_1","title":"Elliptic Three-Manifolds and the Smale Conjecture","year":2012,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Geometric and Algebraic Topology","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":"Conjecture; Mathematics; Pure mathematics; Assertion; Equivalence (formal languages); Manifold (fluid mechanics); Computer science","score_opus":0.03100773481104732,"score_gpt":0.2578446154896526,"score_spread":0.22683688067860527,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W950067598","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0055669323,0.07008628,0.3804323,0.007927509,0.002069278,0.006464656,0.00014525747,0.00062384945,0.5266839],"genre_scores_gemma":[0.65623987,0.0041487394,0.16369987,0.0029100478,0.0043757353,0.00023108687,0.00010118024,0.0013405769,0.16695288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977642,0.000052315532,0.0007925309,0.00041158585,0.00042224143,0.0005570881],"domain_scores_gemma":[0.9919898,0.006367004,0.0005551023,0.0009220353,0.00006204768,0.00010399674],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009015811,0.0007031969,0.0013104379,0.00031321886,0.00013077658,0.000060219725,0.0004844481,0.0010753106,0.0012688701],"category_scores_gemma":[0.001396706,0.0004316648,0.0002490746,0.00013433374,0.0006531282,0.00004226875,0.0002577234,0.0013104128,0.0001346626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016263062,0.000048611157,0.000031094827,0.0006276359,0.00015581849,0.000024306413,0.0017533348,0.000007993233,0.000002015191,0.9920726,0.0002441471,0.0050162105],"study_design_scores_gemma":[0.0009595486,0.000044031025,0.000009268031,0.00027633537,0.00041542941,0.00028811264,0.000015031385,0.00028266705,0.000028780789,0.99191296,0.005298995,0.0004688123],"about_ca_topic_score_codex":0.000012168326,"about_ca_topic_score_gemma":0.00021908179,"teacher_disagreement_score":0.650673,"about_ca_system_score_codex":0.00006947852,"about_ca_system_score_gemma":0.000052187155,"threshold_uncertainty_score":0.9998135},"labels":[],"label_agreement":null},{"id":"W98619662","doi":"10.1090/crmp/028/05","title":"Some asymptotic properties of random walks on free groups","year":2001,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":83,"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":"Random walk; Mathematics; Statistical physics; Combinatorics; Statistics; Physics","score_opus":0.036641972520166294,"score_gpt":0.23905458676647748,"score_spread":0.20241261424631118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W98619662","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046988543,0.009834716,0.0008799496,0.0028984763,0.0010892474,0.0020666397,0.000046569352,0.0006171657,0.9355787],"genre_scores_gemma":[0.98907965,0.00038903722,0.00017242024,0.0004179958,0.0014947329,0.000037702983,0.000009312706,0.00020652045,0.008192639],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973108,0.000008330872,0.0007832386,0.0006926322,0.0006521184,0.0005528832],"domain_scores_gemma":[0.9977382,0.00054654136,0.0007609173,0.0004245252,0.00039661216,0.00013324844],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031979827,0.0007920948,0.0014437379,0.0007383731,0.00014405767,0.000057456517,0.0007151803,0.0010832781,0.00044415827],"category_scores_gemma":[0.0032321508,0.0005852921,0.0004199598,0.0001680206,0.0003416406,0.00011459799,0.00020622564,0.0010207196,0.00007586012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024647554,0.000082397026,0.00003177974,0.0009937693,0.00027214483,0.00000992036,0.0007683556,0.0000018034593,0.000693899,0.9934939,0.0008028077,0.0026027109],"study_design_scores_gemma":[0.0015397565,0.00046238318,0.000013534186,0.00097271637,0.0003738222,0.00006625669,0.000030274668,0.0000087034705,0.006632904,0.9839409,0.0053569865,0.0006017586],"about_ca_topic_score_codex":0.000009541018,"about_ca_topic_score_gemma":0.000004824613,"teacher_disagreement_score":0.9420911,"about_ca_system_score_codex":0.000098718614,"about_ca_system_score_gemma":0.00008695317,"threshold_uncertainty_score":0.99965984},"labels":[],"label_agreement":null}]}