{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":103,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":103,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"a09f5080d983","filters":{"venue":"Mathematical Proceedings of the Cambridge Philosophical Society"}},"results":[{"id":"W2129840940","doi":"10.1017/s0305004100004412","title":"Some formulas for the Bernoulli and Euler polynomials at rational arguments","year":2000,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":202,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Euler's formula; Bernoulli's principle; Bernoulli polynomials; Mathematics; Pure mathematics; Algebra over a field; Applied mathematics; Mathematical analysis; Orthogonal polynomials; Difference polynomials; Physics; Thermodynamics","authors":[{"name":"H. M. Srivastava","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04154337426295546,"gpt":0.2936462034272952,"spread":0.2521028291643398,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008922034,0.0003783871,0.0006548055,0.00001927904,0.0006775534,0.0001041797,0.000684046,0.0002248992,0.0002225045],"category_scores_gemma":[0.001400773,0.0002143415,0.0006575694,0.0001640475,0.0009746519,0.0003875994,0.0004455841,0.0003345651,0.00003403218],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001421753,"about_ca_system_score_gemma":0.00002364017,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001131891,"about_ca_topic_score_gemma":1.615366e-7,"domain_scores_codex":[0.9973463,0.00001430965,0.0009042773,0.0004181598,0.0008023282,0.0005146326],"domain_scores_gemma":[0.9961137,0.002850086,0.0003436951,0.0003220441,0.0002064187,0.0001640339],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007100229,0.0002443709,0.00002740019,0.001044605,0.0001915746,1.114038e-7,0.0003923892,0.00000221739,0.001726931,0.9808463,0.01533554,0.0001175871],"study_design_scores_gemma":[0.0009736752,0.00006043606,0.0001008781,0.000178833,0.0002670175,0.00002971168,0.0001079755,0.003103502,0.004556732,0.9893447,0.001018415,0.0002580964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9266601,0.0005571206,0.001590849,0.05492245,0.0002338677,0.004215055,0.0001994908,0.0002423013,0.01137878],"genre_scores_gemma":[0.9411225,0.0002595991,0.03391027,0.001647912,0.001573485,0.0007623087,0.000006127928,0.0001966101,0.02052123],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05327454,"threshold_uncertainty_score":0.8740594,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083496820","doi":"10.1017/s0305004108001126","title":"Character amenability of Banach algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":124,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Windsor","funders":"","keywords":"Character (mathematics); Banach algebra; Commutative property; Mathematics; Group (periodic table); Pure mathematics; Corollary; Group algebra; Algebra over a field; Banach space; Physics","authors":[{"name":"M. Sangani Monfared","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06518857745024279,"gpt":0.3084469359646345,"spread":0.2432583585143917,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009496374,0.0003523593,0.00092489,0.00003786241,0.0002525181,0.00001715217,0.001084402,0.0002819999,0.0001181692],"category_scores_gemma":[0.002626722,0.000230309,0.0008775968,0.0006387755,0.001770919,0.0002750384,0.0006944109,0.000815571,0.00002102543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001468198,"about_ca_system_score_gemma":0.00008151297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002045323,"about_ca_topic_score_gemma":4.894176e-8,"domain_scores_codex":[0.9964063,0.00003501955,0.001107337,0.0004978057,0.001400953,0.0005526008],"domain_scores_gemma":[0.9972754,0.0007319701,0.0004629987,0.0005425884,0.0007594462,0.0002276068],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006191875,0.001054417,0.002081148,0.002046988,0.0001613453,0.000001061547,0.0008671062,4.430983e-7,0.03704607,0.9520062,0.004611855,0.00006149886],"study_design_scores_gemma":[0.0006538559,0.0001288429,0.0027011,0.0001986959,0.00007846701,0.00005798939,0.0001458258,0.0006340315,0.0634636,0.9315484,0.00008843157,0.000300826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9844165,0.00002893141,0.0003736475,0.00671537,0.00004777618,0.0008616686,0.00002805839,0.00009055345,0.007437441],"genre_scores_gemma":[0.9835949,0.00001755844,0.01554209,0.000217008,0.0001922223,0.00005824738,0.000001002034,0.0000636996,0.0003132574],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02641754,"threshold_uncertainty_score":0.9391729,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1971795353","doi":"10.1017/s0305004107000874","title":"On ϕ-amenability of Banach algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":111,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Homomorphism; Mathematics; Pure mathematics; Banach algebra; Algebra over a field; Banach space","authors":[{"name":"Eberhard Kaniuth","is_ca":false},{"name":"Anthony Lau","is_ca":true},{"name":"John Pym","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06138871546320339,"gpt":0.3128463312759067,"spread":0.2514576158127033,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000918083,0.0003511438,0.0008616762,0.00004082773,0.0002660355,0.00001434389,0.001057043,0.0002707072,0.000105038],"category_scores_gemma":[0.00441493,0.0002263356,0.0008383106,0.000651663,0.001655837,0.0001707871,0.0005519534,0.0008440873,0.00002333251],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001714509,"about_ca_system_score_gemma":0.00007822317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001693651,"about_ca_topic_score_gemma":4.155877e-8,"domain_scores_codex":[0.9963902,0.00003609053,0.0009954351,0.0005055493,0.001555216,0.0005175625],"domain_scores_gemma":[0.996916,0.00128822,0.0003962329,0.0005629751,0.0006172229,0.0002193289],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006624166,0.0009806039,0.0004104346,0.001192829,0.00009932524,7.755628e-7,0.0004373985,0.000001881087,0.009254829,0.9815044,0.00601465,0.00003661407],"study_design_scores_gemma":[0.0005918629,0.0002131039,0.0006381341,0.00019692,0.00004949251,0.00002913562,0.0001038641,0.0006613783,0.04138365,0.9558805,0.00002501875,0.0002269066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9772757,0.0000212149,0.0003858539,0.005670591,0.00004317198,0.0008497755,0.00002414231,0.00009004055,0.01563951],"genre_scores_gemma":[0.9872253,0.00001066001,0.01201988,0.000250676,0.000116626,0.00005171929,6.40453e-7,0.00006145294,0.0002630522],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03212882,"threshold_uncertainty_score":0.9229699,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2135291001","doi":"10.1017/s0305004106009649","title":"Pseudo-amenable and pseudo-contractible Banach algebras","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Contractible space; Mathematics; Pure mathematics; Approximation property; Banach space","authors":[{"name":"F. Ghahramani","is_ca":true},{"name":"Yong Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03592330269018929,"gpt":0.3126572421679263,"spread":0.276733939477737,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002844841,0.0004459156,0.0008080521,0.000062212,0.0004252652,0.0001152385,0.0008486173,0.0003818323,0.00007779006],"category_scores_gemma":[0.002363891,0.0003057632,0.0004829733,0.0007023297,0.000971315,0.0004413415,0.000757203,0.001128956,0.00002689073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001924045,"about_ca_system_score_gemma":0.0000555655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004243024,"about_ca_topic_score_gemma":3.913062e-7,"domain_scores_codex":[0.9960934,0.00002214781,0.0009943027,0.0006279427,0.001288601,0.0009736099],"domain_scores_gemma":[0.99698,0.001309174,0.0003628661,0.0004180804,0.0004955179,0.0004343522],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000688373,0.0004375014,0.0005243944,0.00114397,0.0001387812,0.000002534053,0.0003687051,3.242509e-7,0.03300582,0.9592767,0.004811305,0.0002211663],"study_design_scores_gemma":[0.0009200205,0.0001237888,0.0005008292,0.0002231269,0.0001214926,0.0001114014,0.0005251707,0.001340197,0.03594465,0.9595973,0.0001970146,0.0003950012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9593477,0.00009515636,0.002244398,0.01106485,0.00007884407,0.001155693,0.00001464933,0.0001864874,0.02581224],"genre_scores_gemma":[0.9529288,0.00002817739,0.04524152,0.0005509736,0.0003441496,0.00004081108,8.046906e-7,0.00010052,0.0007642107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04299712,"threshold_uncertainty_score":0.9999394,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2143886071","doi":"10.1017/s0305004102006126","title":"Quillen model structures for relative homological algebra","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Homological algebra; Abelian category; Mathematics; Model category; Derived category; Homotopy category; Pure mathematics; Homology (biology); Hochschild homology; Closed category; Projective module; Functor; Algebra over a field; Category theory; Class (philosophy); Abelian group; Homotopy; Projective test; Cohomology; Computer science","authors":[{"name":"J. Daniel Christensen","is_ca":true},{"name":"Mark Hovey","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07012346573905434,"gpt":0.2948637546707322,"spread":0.2247402889316778,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000665957,0.0004052867,0.000846127,0.00003134392,0.0003690289,0.00002967215,0.0009985656,0.0006989272,0.0001930703],"category_scores_gemma":[0.002200475,0.0002567791,0.001036917,0.0002539759,0.001502228,0.0001692073,0.0004372361,0.0007804119,0.00001876297],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008675738,"about_ca_system_score_gemma":0.00001979127,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.554833e-7,"about_ca_topic_score_gemma":4.955588e-8,"domain_scores_codex":[0.9974541,0.00003207454,0.0008476175,0.0005498967,0.0004990545,0.0006172771],"domain_scores_gemma":[0.9975413,0.0012275,0.0004260007,0.0003412661,0.00028881,0.0001750978],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003108209,0.0003488016,0.00002828804,0.0003574337,0.0002074625,4.847439e-7,0.0007221191,0.000002722593,0.001136136,0.9797547,0.01732336,0.00008738657],"study_design_scores_gemma":[0.0007035334,0.0001766971,0.0000370417,0.00005159999,0.000229096,0.000069929,0.0001059412,0.02580995,0.001706322,0.9707281,0.00009142055,0.000290358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8270159,0.0002248867,0.02255683,0.08111814,0.0002800315,0.002966604,0.0001296484,0.0004494493,0.06525846],"genre_scores_gemma":[0.947249,0.00001462932,0.05008716,0.001023281,0.0002668508,0.000171272,0.000001339679,0.00005611649,0.001130379],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.120233,"threshold_uncertainty_score":0.9999884,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2011516158","doi":"10.1017/s0305004111000752","title":"Nair–Tenenbaum bounds uniform with respect to the discriminant","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Discriminant; Mathematics; Combinatorics; Upper and lower bounds; Mathematical analysis; Artificial intelligence; Computer science","authors":[{"name":"Kevin Henriot","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06230141040956678,"gpt":0.31833331916029,"spread":0.2560319087507232,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003301868,0.0004278669,0.0006801795,0.00004038718,0.0005552027,0.0001188281,0.00161732,0.0001980246,0.00007378167],"category_scores_gemma":[0.001625247,0.0001927794,0.0006147665,0.0007927695,0.001043151,0.0002850207,0.001042182,0.0008937277,0.0001103819],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002438294,"about_ca_system_score_gemma":0.00006663861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006406719,"about_ca_topic_score_gemma":6.543016e-7,"domain_scores_codex":[0.996065,0.00004513022,0.0007191555,0.000406161,0.001698446,0.001066087],"domain_scores_gemma":[0.9972737,0.000865641,0.0002979491,0.000681979,0.0004051934,0.0004754761],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001087254,0.0004816189,0.0005015137,0.0005937723,0.0001896304,4.717509e-7,0.001966653,6.00969e-7,0.000786771,0.9739277,0.0213834,0.00005915396],"study_design_scores_gemma":[0.0005494739,0.0002264894,0.0009175743,0.0004446063,0.0003757432,0.0001307104,0.001803503,0.0006624507,0.004045468,0.9883305,0.002057015,0.0004564615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7968801,0.00006974666,0.003293863,0.1152016,0.0001484866,0.002269906,0.00003634188,0.0002078452,0.08189212],"genre_scores_gemma":[0.9883084,0.000004828006,0.007857693,0.0008008719,0.0006760711,0.0001176125,7.680329e-7,0.00009576335,0.002137938],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1914283,"threshold_uncertainty_score":0.7861314,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2145221255","doi":"10.1017/s0305004102005960","title":"Weak amenability of certain classes of Banach algebras without bounded approximate identities","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta; University of Manitoba","funders":"","keywords":"Mathematics; Subalgebra; Locally compact space; Banach algebra; Abelian group; Locally compact group; Pure mathematics; Bounded function; Group algebra; Compact group; Class (philosophy); Commutative property; Algebra over a field; Banach space; Mathematical analysis; Lie group; Computer science","authors":[{"name":"F. Ghahramani","is_ca":true},{"name":"Anthony Lau","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06224934793072128,"gpt":0.3127588548227281,"spread":0.2505095068920068,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00126824,0.0004306808,0.001312654,0.00006506183,0.0001943685,0.00005307723,0.001244601,0.0003171846,0.0001963767],"category_scores_gemma":[0.003425431,0.0002990336,0.0009043359,0.0007329631,0.002333391,0.000374972,0.0007515341,0.0007282742,0.000008956529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001746955,"about_ca_system_score_gemma":0.00004715582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004579319,"about_ca_topic_score_gemma":2.810712e-7,"domain_scores_codex":[0.9955274,0.00006233437,0.001563307,0.0005367803,0.001692718,0.0006174658],"domain_scores_gemma":[0.9965139,0.0009074287,0.0008156069,0.0006244926,0.0009370291,0.0002015168],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005036296,0.001207884,0.001418477,0.006790859,0.0002449356,2.663539e-7,0.0009471871,0.000001445175,0.0234483,0.9632825,0.002543379,0.00006436879],"study_design_scores_gemma":[0.0007291021,0.0001597522,0.0002025274,0.0003971304,0.0001550124,0.00001530706,0.0008312456,0.005570969,0.05326106,0.9383675,0.00002320548,0.0002872115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.978526,0.0001106902,0.0009891535,0.004120001,0.00004893136,0.001235873,0.00005347111,0.000101727,0.01481415],"genre_scores_gemma":[0.9787997,0.00003463052,0.02018268,0.00006499243,0.0001002416,0.00007360425,0.000001017538,0.00007734384,0.0006657696],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02981276,"threshold_uncertainty_score":0.9999462,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977410681","doi":"10.1017/s0305004108001795","title":"Primitive divisors in arithmetic dynamics","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Divisor (algebraic geometry); Degree (music); Prime (order theory); Order (exchange); Combinatorics; Function (biology); Field (mathematics); Rational function; Arithmetic; Algebraic number field; Discrete mathematics; Pure mathematics; Physics","authors":[{"name":"Patrick Ingram","is_ca":true},{"name":"Joseph H. Silverman","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04338486731396088,"gpt":0.2686969834374969,"spread":0.225312116123536,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00100799,0.0004285192,0.0009954202,0.00006582848,0.000222647,0.00003474237,0.0009045199,0.0003569041,0.00005465574],"category_scores_gemma":[0.002134149,0.0002905673,0.0008238523,0.0007467753,0.00102346,0.0001928652,0.0005740628,0.0008892216,0.00002226745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002506498,"about_ca_system_score_gemma":0.00004948355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004420041,"about_ca_topic_score_gemma":8.085635e-7,"domain_scores_codex":[0.9966319,0.00002804073,0.001214701,0.0004954338,0.00100874,0.0006212489],"domain_scores_gemma":[0.997671,0.001018164,0.000462935,0.0003660831,0.0002725056,0.0002092781],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000172789,0.0009314243,0.001196198,0.0009478672,0.00006617294,0.000003005464,0.0006126668,0.000001227567,0.0003818025,0.9946281,0.001153244,0.00006095607],"study_design_scores_gemma":[0.0006123847,0.00006693954,0.002373786,0.000382106,0.00007358577,0.00008979203,0.0002123046,0.04331358,0.0004415395,0.9520655,0.00001804778,0.0003504424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.931017,0.00002340499,0.002809403,0.007444564,0.00007222985,0.001063158,0.0000405707,0.0001218961,0.0574077],"genre_scores_gemma":[0.9827229,0.00002129936,0.0162094,0.0002777765,0.0000990355,0.00007134151,0.000001997931,0.00007169208,0.0005245048],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0568832,"threshold_uncertainty_score":0.9999546,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2165152668","doi":"10.1017/s0305004108001084","title":"Rolling sphere problems on spaces of constant curvature","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Unit sphere; Mathematics; Isometry (Riemannian geometry); Homogeneous space; Lie group; Constant curvature; Euclidean space; Manifold (fluid mechanics); Sigma; Mathematical analysis; Mathematical physics; Combinatorics; Pure mathematics; Curvature; Physics; Geometry; Quantum mechanics","authors":[{"name":"Velimir Jurdjevic","is_ca":true},{"name":"Jason A. Zimmerman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04773139902892246,"gpt":0.2734193341386059,"spread":0.2256879351096834,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006861691,0.0003426292,0.0009305015,0.00002744388,0.0002526562,0.00001189452,0.0007452392,0.000505081,0.0001042985],"category_scores_gemma":[0.001065355,0.0002179786,0.000696753,0.0003693984,0.001976286,0.00008750763,0.0002761686,0.0008751145,0.0000143418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005252086,"about_ca_system_score_gemma":0.00006323753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001909277,"about_ca_topic_score_gemma":1.267718e-7,"domain_scores_codex":[0.9975637,0.00003381948,0.0008938015,0.0003928474,0.0006774555,0.0004384112],"domain_scores_gemma":[0.9978216,0.0008061911,0.0006268414,0.0003246235,0.0002904765,0.000130301],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005232562,0.000606977,0.0006100936,0.001027273,0.0001926388,0.000002036668,0.001024355,0.000002193372,0.004903757,0.9870906,0.004461646,0.00002613016],"study_design_scores_gemma":[0.000626346,0.0002520055,0.0001082786,0.0005144372,0.0001307108,0.0001579349,0.0002342699,0.000437567,0.01228434,0.9848924,0.000121763,0.0002399913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.937162,0.0001264148,0.0002938911,0.01428101,0.0001222068,0.0007585592,0.0000251367,0.0001107278,0.04712008],"genre_scores_gemma":[0.9929026,0.00003836686,0.006003509,0.000412363,0.0001792447,0.00003479542,7.449976e-7,0.0000421452,0.000386202],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05574065,"threshold_uncertainty_score":0.8888908,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091708223","doi":"10.1017/s0305004106009352","title":"All realizability is relative","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":37,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Realizability; Morphism; Object (grammar); Filter (signal processing); Mathematics; Preorder; Variety (cybernetics); Extensional definition; Subcategory; Characterization (materials science); Algebra over a field; Computer science; Pure mathematics; Discrete mathematics; Algorithm; Artificial intelligence","authors":[{"name":"Pieter Hofstra","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02317474790309713,"gpt":0.2467123824562242,"spread":0.2235376345531271,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001289314,0.0003704217,0.0006056857,0.0000273059,0.0002290654,0.0001455984,0.002299557,0.0002868398,0.00002211843],"category_scores_gemma":[0.0003966073,0.0002510507,0.0009117581,0.0007979868,0.0008048378,0.0005525404,0.001775738,0.0006319719,0.00003689533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002226506,"about_ca_system_score_gemma":0.00004936312,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003327195,"about_ca_topic_score_gemma":1.234574e-7,"domain_scores_codex":[0.9965537,0.00003673371,0.0009044605,0.0008497675,0.001092604,0.0005627398],"domain_scores_gemma":[0.9977875,0.0004584133,0.0003848681,0.0007017203,0.0004946539,0.0001728531],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005471505,0.0005195718,0.0007539029,0.0002574936,0.00004822202,4.098339e-7,0.0004078401,0.000005191196,0.0008407474,0.9884943,0.008502718,0.0001641249],"study_design_scores_gemma":[0.0003047209,0.00006534439,0.004779804,0.00005588096,0.00004109956,0.00002204216,0.00001715379,0.05268395,0.002966077,0.9383492,0.0004339324,0.0002807433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3647297,0.0001736465,0.2110916,0.2929044,0.0005278141,0.002657049,0.00006293448,0.001220166,0.1266326],"genre_scores_gemma":[0.9289911,0.000003087713,0.0689462,0.001527608,0.0002914897,0.0000348739,0.000001089304,0.00002500307,0.0001795086],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5642614,"threshold_uncertainty_score":0.9999942,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2038182478","doi":"10.1017/s0305004113000558","title":"Some reductions of the spectral set conjecture to integers","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Conjecture; Bounded function; Set (abstract data type); Property (philosophy); Dimension (graph theory); Beal's conjecture","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04550852808837429,"gpt":0.3032799253875487,"spread":0.2577713972991744,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001029249,0.000370951,0.0009291994,0.00004120687,0.0002381054,0.00005921798,0.00119823,0.0002573994,0.0002284676],"category_scores_gemma":[0.001319737,0.0001836945,0.001583649,0.000863471,0.0007863929,0.0002004146,0.0004113699,0.0007286593,0.00002968674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008142672,"about_ca_system_score_gemma":0.00004043371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009758842,"about_ca_topic_score_gemma":1.986693e-7,"domain_scores_codex":[0.9969867,0.00004561178,0.001148596,0.0003896449,0.0009535992,0.0004758202],"domain_scores_gemma":[0.997807,0.0006234848,0.0004311372,0.0005174144,0.0003755665,0.0002454401],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007515241,0.0003244102,0.00003974203,0.001092174,0.0002286699,5.281256e-8,0.0007796824,0.00000261432,0.01358315,0.972864,0.01102251,0.00005542664],"study_design_scores_gemma":[0.0002432395,0.00006347183,0.0002228079,0.0003352897,0.0003230003,0.00001907943,0.0005294676,0.001003567,0.03294325,0.9640244,0.0000741344,0.0002182993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8943524,0.00003642089,0.002397953,0.08917873,0.0001744311,0.001943331,0.00004472405,0.00009597809,0.01177603],"genre_scores_gemma":[0.9656041,0.00000614171,0.03265159,0.0006229049,0.0003250306,0.00010787,5.45924e-7,0.00004923287,0.0006326216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08855583,"threshold_uncertainty_score":0.7490842,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2084277418","doi":"10.1017/s0305004106009613","title":"On finiteness conjectures for endomorphism algebras of abelian surfaces","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Endomorphism; Pure mathematics; Abelian group; Arithmetic of abelian varieties; Conjecture; Bounded function; Quaternion; Isomorphism (crystallography); Dimension (graph theory); Moduli space; Field (mathematics); Abelian variety of CM-type; Rank of an abelian group; Algebra over a field; Elementary abelian group; Mathematical analysis","authors":[{"name":"NILS BRIUN","is_ca":true},{"name":"E. V. Flynn","is_ca":false},{"name":"Josep González","is_ca":false},{"name":"Víctor Rotger","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02738528527316186,"gpt":0.2655011123789162,"spread":0.2381158271057543,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001169831,0.0003705607,0.0008581657,0.00004625664,0.0002097878,0.00002933718,0.0007403136,0.0003176193,0.00005847402],"category_scores_gemma":[0.001720931,0.0002405396,0.0009406208,0.0004089612,0.0008263132,0.00009625878,0.0002010099,0.0003663017,0.000007769737],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004840698,"about_ca_system_score_gemma":0.00003151406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004261016,"about_ca_topic_score_gemma":9.848517e-8,"domain_scores_codex":[0.9975069,0.00002462368,0.0009380792,0.0003902865,0.0007071957,0.0004329282],"domain_scores_gemma":[0.9956368,0.002940294,0.000634548,0.0003027318,0.0003883119,0.00009736234],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001205525,0.0006373777,0.00009563303,0.001804498,0.0001268124,1.948385e-7,0.0001526628,0.000006998113,0.01162984,0.9774286,0.007972417,0.00002438427],"study_design_scores_gemma":[0.0009667655,0.0001899126,0.0002002953,0.0003005068,0.0001714318,0.00001095588,0.0001068692,0.0004174922,0.06305363,0.9342674,0.00006920655,0.000245535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9802988,0.00006018498,0.001088317,0.005299659,0.0001146098,0.001042123,0.0001119289,0.00009481417,0.01188959],"genre_scores_gemma":[0.9927502,0.000003161118,0.006196666,0.0002864605,0.0002310384,0.00006768428,0.000003934075,0.00005857256,0.0004023291],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05142379,"threshold_uncertainty_score":0.980892,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004684167","doi":"10.1017/s030500411400036x","title":"The Steklov spectrum of surfaces: asymptotics and invariants","year":2014,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université Laval","funders":"Engineering and Physical Sciences Research Council","keywords":"Eigenvalues and eigenvectors; Spectrum (functional analysis); Mathematical proof; Operator (biology); Surface (topology)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02504317373369494,"gpt":0.2603915102346889,"spread":0.2353483365009939,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002642422,0.0004065493,0.0008960992,0.00002056216,0.0003698337,0.00008961253,0.001190756,0.0002485191,0.00001782132],"category_scores_gemma":[0.003931617,0.0002234046,0.0005774881,0.0004369289,0.001953772,0.000159877,0.0007027691,0.0006534093,0.00001145373],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006212027,"about_ca_system_score_gemma":0.00002871649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001615662,"about_ca_topic_score_gemma":2.000552e-7,"domain_scores_codex":[0.9967961,0.0000679187,0.001160405,0.0003992615,0.00102234,0.0005539682],"domain_scores_gemma":[0.9941521,0.00408847,0.0007428736,0.0005644527,0.0002605155,0.0001916337],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002693462,0.000274671,0.0001068992,0.001234763,0.0001403541,7.704615e-8,0.0003643532,0.000001418789,0.003323945,0.9934427,0.001009004,0.00007495373],"study_design_scores_gemma":[0.0004436151,0.0001316049,0.0002744723,0.0003362369,0.000186677,0.00001660722,0.0002185656,0.006983249,0.01088847,0.9802082,0.00006442496,0.0002478882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9339974,0.00006577894,0.003001863,0.01851727,0.0001500132,0.001169315,0.00002223608,0.000141248,0.04293491],"genre_scores_gemma":[0.9885854,0.00002841386,0.01071747,0.0001811555,0.0002134737,0.000019091,3.274852e-7,0.00006921643,0.0001854809],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05458801,"threshold_uncertainty_score":0.9110177,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2044430079","doi":"10.1017/s0305004110000277","title":"Stable splittings, spaces of representations and almost commuting elements in Lie groups","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Lie group; Quotient; Simple Lie group; Point (geometry); Rank (graph theory); Space (punctuation); Compact group; Suspension (topology); Group (periodic table)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02885383816368082,"gpt":0.3003894240605268,"spread":0.271535585896846,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00146843,0.0002069897,0.0005738022,0.00003801299,0.0001653555,0.0000248562,0.0005111836,0.0002883578,0.00005453463],"category_scores_gemma":[0.002170431,0.0001530822,0.0002131158,0.0003124493,0.00113547,0.0001273269,0.0005582335,0.0008461843,0.0000023354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002305229,"about_ca_system_score_gemma":0.00002572836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001263379,"about_ca_topic_score_gemma":0.000002322499,"domain_scores_codex":[0.9980615,0.00002908195,0.0008932521,0.0003065449,0.0003514025,0.0003582327],"domain_scores_gemma":[0.9980088,0.0009724264,0.000502002,0.0002666037,0.0001569587,0.00009317203],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001525697,0.0003703294,0.01794449,0.0006824972,0.00006036325,4.955613e-7,0.001269109,7.788186e-8,0.01941777,0.9597017,0.0004763363,0.00006154781],"study_design_scores_gemma":[0.0005577456,0.00005687357,0.003114407,0.0001514098,0.00007323988,0.00003990313,0.00104202,0.0005734665,0.009671477,0.9845425,0.00002740661,0.0001495399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9790916,0.00001953525,0.00006056208,0.01017919,0.00006934648,0.0004588665,0.00001281226,0.00003526091,0.01007283],"genre_scores_gemma":[0.9834958,0.00000877836,0.01609166,0.0001590179,0.00008872327,0.00003301703,0.000001036989,0.00002404788,0.00009786931],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02484079,"threshold_uncertainty_score":0.6242511,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2612432896","doi":"10.1017/s0305004117000639","title":"Positive Herz–Schur multipliers and approximation properties of crossed products","year":2017,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Queen's University Belfast; Instytut Matematyczny, Polskiej Akademii Nauk; Göteborgs Universitet; Queen's University; Chalmers Tekniska Högskola","keywords":"Mathematics; Pure mathematics","authors":[{"name":"Andrew McKee","is_ca":false},{"name":"Adam Skalski","is_ca":false},{"name":"Ivan G. Todorov","is_ca":false},{"name":"Lyudmila Turowska","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05702782836157444,"gpt":0.2861410533535579,"spread":0.2291132249919834,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001194782,0.0003957268,0.0008906458,0.00002541688,0.0005954853,0.0001553743,0.001089977,0.0002442791,0.000007707256],"category_scores_gemma":[0.005599801,0.0002534956,0.0004363643,0.0001703887,0.002717749,0.0004653997,0.0007489385,0.0005096073,0.000005722739],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007362203,"about_ca_system_score_gemma":0.00003840529,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003251713,"about_ca_topic_score_gemma":5.272596e-8,"domain_scores_codex":[0.9973525,0.00002741366,0.0008996119,0.0004815671,0.000824761,0.0004140992],"domain_scores_gemma":[0.9970657,0.0003707368,0.001117905,0.000681277,0.0006229171,0.000141505],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006825976,0.0005006773,0.00008814007,0.004184596,0.0001480599,1.824935e-7,0.001323588,3.182161e-7,0.1437939,0.8495517,0.0002663941,0.00007416587],"study_design_scores_gemma":[0.0005240428,0.00006691294,0.0004953139,0.0007831491,0.0001499612,0.00001212988,0.0002418688,0.001845957,0.2361468,0.759499,0.000002606112,0.0002323189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9775388,0.00003680923,0.0004061536,0.009642647,0.00006285222,0.00138506,0.00002226286,0.00008409172,0.01082131],"genre_scores_gemma":[0.9784012,0.000007423919,0.02105517,0.00008102885,0.000183519,0.0000544348,5.397908e-7,0.00006226532,0.0001543816],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09235285,"threshold_uncertainty_score":0.9999963,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171987715","doi":"10.1017/s0305004112000345","title":"Perfect powers with few binary digits and related Diophantine problems, II","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Diophantine equation; Mathematics; Integer (computer science); Mathematical proof; Perfect power; Binary number; Logarithm; Combinatorics; Discrete mathematics; Power (physics); Arithmetic; Mathematical analysis; Computer science; Physics","authors":[{"name":"Michael A. Bennett","is_ca":true},{"name":"Yann Bugeaud","is_ca":false},{"name":"Maurice Mignotte","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03406907848087074,"gpt":0.2807654952674827,"spread":0.246696416786612,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001958332,0.0004128975,0.000749294,0.00004384857,0.0004301943,0.00005934099,0.0005871229,0.0002719343,0.00008470204],"category_scores_gemma":[0.0009589425,0.0002389677,0.0003942616,0.0006423898,0.00126243,0.0004195029,0.0009351105,0.0008236402,0.0000209333],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009295953,"about_ca_system_score_gemma":0.00003650442,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001491769,"about_ca_topic_score_gemma":2.790089e-8,"domain_scores_codex":[0.9970137,0.00003703772,0.0006895527,0.0004182229,0.001037889,0.0008035249],"domain_scores_gemma":[0.9980748,0.0005591227,0.0003547341,0.0003270761,0.0002832352,0.0004010545],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001020864,0.001191271,0.003399673,0.002851388,0.0004920324,0.000001580626,0.002080911,6.327156e-7,0.005358625,0.9803016,0.0041584,0.00006178275],"study_design_scores_gemma":[0.001745202,0.0005343116,0.001553801,0.001237357,0.000486939,0.0005531576,0.0006421785,0.001551314,0.002975981,0.9877764,0.00024011,0.000703233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9527782,0.0001949486,0.0000819983,0.01055722,0.00004143513,0.0009804647,0.00001191702,0.0001548196,0.03519898],"genre_scores_gemma":[0.9950157,0.00002295935,0.002466961,0.0001227624,0.0001526438,0.0000441608,0.000001412204,0.00009038641,0.002082956],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04223754,"threshold_uncertainty_score":0.9744821,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2334766273","doi":"10.1017/s0305004114000280","title":"Nair–Tenenbaum uniform with respect to the discriminant–ERRATUM","year":2014,"lang":"en","type":"erratum","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Discriminant; Argument (complex analysis); Divisor (algebraic geometry); Wish; Mathematics; Computer science; Calculus (dental); Epistemology; Mathematical economics; Philosophy; Artificial intelligence; Discrete mathematics; Sociology; Medicine; Anthropology; Orthodontics","authors":[{"name":"Kevin Henriot","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04804940996296223,"gpt":0.3064564848548201,"spread":0.2584070748918579,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.004208675,0.00121867,0.002160192,0.0001087568,0.0008381247,0.0003121002,0.004790624,0.001135992,0.0001022559],"category_scores_gemma":[0.003994351,0.0005782099,0.001723086,0.001241123,0.002024505,0.0001812889,0.002477352,0.004660224,0.0001902324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004848656,"about_ca_system_score_gemma":0.0003383697,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001346964,"about_ca_topic_score_gemma":0.00000422112,"domain_scores_codex":[0.9918389,0.0001132519,0.00158909,0.001253905,0.003700071,0.001504765],"domain_scores_gemma":[0.9940923,0.001347754,0.001076103,0.001714084,0.001159194,0.0006105099],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008760855,0.0002169346,0.000006321663,0.002293915,0.0003247906,0.00000160345,0.0004749254,5.050987e-7,0.00004405704,0.4453593,0.5511615,0.00002858082],"study_design_scores_gemma":[0.0005723185,0.00042134,0.00004961466,0.002957311,0.001013028,0.0001279112,0.0006418948,0.001418993,0.0002306653,0.9453351,0.04629653,0.0009352682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.007055619,0.0001894849,0.003430768,0.2431312,0.00319742,0.006457785,0.0002523845,0.0005368339,0.7357485],"genre_scores_gemma":[0.2862811,0.0001502747,0.0194428,0.006647429,0.0148598,0.001221245,0.0000602368,0.001656182,0.6696809],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5048649,"threshold_uncertainty_score":0.9996669,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2634535468","doi":"10.1017/s0305004119000100","title":"Chebyshev’s bias for analytic<i>L</i>-functions","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Logarithm; Chebyshev filter; Chebyshev equation; Dirichlet distribution; Pure mathematics; Prime (order theory); Independence (probability theory); Chebyshev polynomials; Discrete mathematics; Combinatorics; Mathematical analysis; Statistics; Orthogonal polynomials","authors":[{"name":"Lucile Devin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02730825675730204,"gpt":0.2347186897464265,"spread":0.2074104329891244,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009814184,0.0002225743,0.0003994239,0.0000388647,0.0002168314,0.0001211782,0.001492133,0.0001532361,0.00002365642],"category_scores_gemma":[0.0002760761,0.000149054,0.001087848,0.0007655091,0.0002422608,0.0003111581,0.0005407773,0.0003066915,0.00005361675],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004006625,"about_ca_system_score_gemma":0.00003087608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.068424e-7,"about_ca_topic_score_gemma":1.503145e-8,"domain_scores_codex":[0.9982448,0.00001127712,0.0004473278,0.0004592813,0.0004685477,0.0003687501],"domain_scores_gemma":[0.9985124,0.0004216014,0.0002298076,0.0004308461,0.0002767789,0.0001285913],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001344797,0.0001700023,0.0003608063,0.0003177152,0.00007969843,3.543127e-8,0.0001589904,0.000003526593,0.003767755,0.9903595,0.004572611,0.0001959411],"study_design_scores_gemma":[0.0005633286,0.0001732636,0.0003891461,0.0001269816,0.00008049637,0.00001256019,0.00008041821,0.02859146,0.003860513,0.9638792,0.001969543,0.0002730388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6797856,0.0000887491,0.1662557,0.07273766,0.0008559983,0.002799708,0.00004862895,0.0006752513,0.07675268],"genre_scores_gemma":[0.9839054,0.000002469961,0.01427128,0.0009872435,0.0001611369,0.00005673534,8.281797e-7,0.000020328,0.0005945887],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3041198,"threshold_uncertainty_score":0.6078247,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2120368659","doi":"10.1017/s0305004108001266","title":"Homotopy limits for 2-categories","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Homotopy; Mathematics; Injective function; Cofibration; Limit (mathematics); Homotopy category; Model category; Pure mathematics; Diagram; Homotopy lifting property; n-connected; Mathematical analysis; Statistics","authors":[{"name":"Nicola Gambino","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06503537273793708,"gpt":0.2965604504502422,"spread":0.2315250777123051,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006661949,0.0003351059,0.0007598065,0.0000279634,0.0005220386,0.00001766082,0.0008835107,0.0004485649,0.00004962413],"category_scores_gemma":[0.001807114,0.0002245767,0.0009297306,0.0003031225,0.001766141,0.0001315942,0.0002554076,0.0005065048,0.00001875478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006058884,"about_ca_system_score_gemma":0.00006076549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.949644e-7,"about_ca_topic_score_gemma":7.715688e-8,"domain_scores_codex":[0.9977809,0.00001969259,0.0007654655,0.0004237438,0.0004599107,0.000550357],"domain_scores_gemma":[0.997731,0.001065538,0.0003629342,0.0003180303,0.000369828,0.0001526997],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004423275,0.0003821262,0.000294566,0.0006403901,0.000136469,8.452167e-7,0.0006708003,9.639905e-8,0.002477654,0.9788105,0.01649899,0.00004329636],"study_design_scores_gemma":[0.0006720906,0.0001684717,0.0002231137,0.00006409764,0.0001347658,0.0002212888,0.0001398525,0.000243097,0.01618491,0.9811741,0.0005193017,0.0002549124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.940554,0.00006788703,0.002934076,0.03212808,0.0002656032,0.001503034,0.00003656768,0.0002442254,0.02226649],"genre_scores_gemma":[0.9766778,0.00002035963,0.02049143,0.0007496185,0.0004434573,0.0002236544,0.000001572676,0.00005750763,0.00133456],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03612381,"threshold_uncertainty_score":0.9157973,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1999035816","doi":"10.1017/s0305004108001965","title":"The equivariant cohomology ring of weighted projective space","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Cohomology ring; Projective space; Equivariant cohomology; Cohomology; Real projective space; Complex projective space; Equivariant map; Ring (chemistry); Quaternionic projective space; Chern class","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.05535023589630404,"gpt":0.2777609714214805,"spread":0.2224107355251764,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001148537,0.0003140484,0.0007139822,0.00003199993,0.0005949499,0.00002436719,0.001078425,0.0002525733,0.00002654838],"category_scores_gemma":[0.001464053,0.0001728941,0.0007159934,0.000670535,0.001442103,0.0001128559,0.0007258655,0.0006168945,0.00001038432],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007967548,"about_ca_system_score_gemma":0.0000649798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005596105,"about_ca_topic_score_gemma":1.379353e-7,"domain_scores_codex":[0.9973996,0.00004236808,0.0008707312,0.0003596953,0.0008155492,0.0005120657],"domain_scores_gemma":[0.9969433,0.001400163,0.0006405228,0.0003944738,0.0005051657,0.0001163725],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005435971,0.0003782939,0.0002578514,0.0005644592,0.0002080062,0.000001146257,0.0007999231,3.202857e-7,0.005696925,0.9889033,0.003116951,0.00001846174],"study_design_scores_gemma":[0.0005313483,0.000161916,0.0007645554,0.0001645261,0.0001400901,0.0001853456,0.00040256,0.002051896,0.01340041,0.9818243,0.0001515914,0.0002214051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9327276,0.0000822958,0.001360222,0.01554851,0.0001341574,0.001117945,0.00001682045,0.0001209844,0.04889147],"genre_scores_gemma":[0.99078,0.00002298262,0.008197903,0.0001069346,0.0001880303,0.00005256762,4.301596e-7,0.00003968786,0.0006114941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05805237,"threshold_uncertainty_score":0.7050415,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2159285292","doi":"10.1017/s0305004108001199","title":"Weak*- continuous homomorphisms of Fourier–Stieltjes algebras","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Winnipeg; Lakehead University","funders":"","keywords":"Homomorphism; Mathematics; Abelian group; Locally compact space; Bounded function; Pure mathematics; Algebra over a field; Locally compact group; Fourier transform; Affine transformation; Discrete mathematics; Combinatorics; Mathematical analysis","authors":[{"name":"Monica Ilie","is_ca":true},{"name":"Ross Stokke","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05297856819763867,"gpt":0.295257569422948,"spread":0.2422790012253093,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001020452,0.0004426103,0.001191833,0.00005509414,0.0003455895,0.00002605681,0.001302939,0.0003527636,0.0001180644],"category_scores_gemma":[0.003101954,0.0002996748,0.000982504,0.0007255664,0.002233439,0.0002655882,0.0007840809,0.000885448,0.00002951785],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001139352,"about_ca_system_score_gemma":0.0001013981,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002844075,"about_ca_topic_score_gemma":6.398349e-8,"domain_scores_codex":[0.9958631,0.00003691838,0.001234934,0.0005109156,0.001681138,0.0006730206],"domain_scores_gemma":[0.996744,0.0009816658,0.0005983688,0.0005393933,0.0008556725,0.000280929],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005722922,0.0007057179,0.0005899182,0.001172576,0.0001842222,0.000002509447,0.0005416497,9.607568e-7,0.01339697,0.9735795,0.009694497,0.00007419629],"study_design_scores_gemma":[0.0009404512,0.0002139821,0.0003301501,0.0003249356,0.0001215423,0.0001583697,0.0003305733,0.0008743178,0.05111941,0.9450681,0.0001509836,0.0003671628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9675589,0.00009983924,0.001202007,0.006215545,0.00008815518,0.001131818,0.00004674332,0.0001571137,0.02349995],"genre_scores_gemma":[0.9625608,0.0000387377,0.03594097,0.0001707594,0.0002408146,0.00006739525,0.000001250603,0.00009587379,0.0008833755],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03772244,"threshold_uncertainty_score":0.9999455,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2752527371","doi":"10.1017/s0305004118000385","title":"Two remarks on Wall's D2 problem","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Simple (philosophy); Homotopy; Property (philosophy); Pure mathematics; Type (biology); Simple group; Group (periodic table); Combinatorics; Finite group; Physics; Biology","authors":[{"name":"Ian Hambleton","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03102947133805791,"gpt":0.2995781316298016,"spread":0.2685486602917437,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001262264,0.0004023354,0.0007486974,0.00003725361,0.00037701,0.00003669713,0.00109966,0.0004422643,0.0002541028],"category_scores_gemma":[0.001083654,0.0002588431,0.0006788179,0.0004091004,0.002195304,0.0001088017,0.0005042436,0.0008800195,0.0001511209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001057317,"about_ca_system_score_gemma":0.00004560069,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000278911,"about_ca_topic_score_gemma":3.519073e-7,"domain_scores_codex":[0.9971861,0.00004486537,0.0008576441,0.0005648847,0.0007057596,0.0006406961],"domain_scores_gemma":[0.9978068,0.0007082135,0.0004340367,0.0004669901,0.0003881413,0.0001958437],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006726226,0.0005220783,0.0001055231,0.0003756064,0.0001398036,9.344066e-7,0.000483714,6.969601e-8,0.002637476,0.9789652,0.01657213,0.0001301819],"study_design_scores_gemma":[0.0007483021,0.0004124051,0.0001004482,0.0002576014,0.0001318019,0.00008291612,0.00009591741,0.0003864391,0.01127836,0.9857675,0.0004536516,0.0002846364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6311997,0.00001858754,0.0004972367,0.06696188,0.0002509987,0.001168463,0.00001396759,0.0002977112,0.2995915],"genre_scores_gemma":[0.976064,0.000004441514,0.01921519,0.002623897,0.0007964569,0.00007400616,8.692322e-7,0.00006423546,0.001156854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3448643,"threshold_uncertainty_score":0.9999864,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2511271637","doi":"10.1017/s0305004115000730","title":"Low-lying zeros of elliptic curve <i>L</i>-functions: Beyond the Ratios Conjecture","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University; University of Ottawa","funders":"","keywords":"Conjecture; Coprime integers; Elliptic curve; Twists of curves; Quadratic equation; Fourier analysis; Term (time); Fourier series; Fourier transform","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03862284306239751,"gpt":0.2903181094775397,"spread":0.2516952664151422,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00235014,0.0003825904,0.0007780637,0.00003674069,0.0003571072,0.00005457825,0.001314401,0.0002956536,0.0001741864],"category_scores_gemma":[0.003477137,0.0001689023,0.0009757241,0.0006049791,0.001943781,0.000224275,0.0006435242,0.0006820002,0.00006000313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001371344,"about_ca_system_score_gemma":0.00008520643,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001722469,"about_ca_topic_score_gemma":1.214303e-7,"domain_scores_codex":[0.996451,0.00007524431,0.001098182,0.000450043,0.001356938,0.0005686287],"domain_scores_gemma":[0.9949523,0.00301095,0.0006368144,0.000614289,0.0006113033,0.0001743493],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000490505,0.0003606913,0.000220962,0.001085541,0.0002715921,3.368316e-7,0.0004789753,6.551741e-7,0.03960142,0.9469993,0.01078355,0.0001479197],"study_design_scores_gemma":[0.000713513,0.00009164687,0.00005288986,0.0004684491,0.0002385941,0.0000324557,0.0004066498,0.0004694923,0.04144077,0.9557403,0.0001168143,0.0002284518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8668557,0.0001359827,0.0172069,0.09145514,0.0002228264,0.002768979,0.0001326763,0.0002092381,0.02101249],"genre_scores_gemma":[0.9959255,0.00002152127,0.001470672,0.0004016513,0.0003160466,0.00008490551,7.940098e-7,0.00007104173,0.001707895],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1290697,"threshold_uncertainty_score":0.7161943,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Conjecture; Mathematics; Graph; Combinatorics; Pure mathematics","authors":[{"name":"Kimihiko Motegi","is_ca":false},{"name":"Toshie Takata","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03474147475750416,"gpt":0.278428996888661,"spread":0.2436875221311569,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001211257,0.000303183,0.0005429643,0.00002853885,0.0005015893,0.00004732245,0.00104742,0.0003032857,0.00003661651],"category_scores_gemma":[0.004424494,0.0001198179,0.0009494122,0.000470585,0.001219576,0.00009479818,0.0003700437,0.0003109847,0.00001639701],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006317928,"about_ca_system_score_gemma":0.0000370052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.214561e-7,"about_ca_topic_score_gemma":1.01525e-7,"domain_scores_codex":[0.9977767,0.00001839522,0.0006980873,0.0003736655,0.0005437711,0.0005893604],"domain_scores_gemma":[0.9950784,0.003690565,0.0004091758,0.0003377377,0.0003358054,0.0001483488],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003038128,0.0001212165,0.00007450701,0.0003076977,0.0001264847,9.193606e-8,0.00009452908,2.85001e-8,0.001993488,0.9599127,0.03660735,0.0007315901],"study_design_scores_gemma":[0.000809996,0.0001121211,0.0001714555,0.0001331423,0.00012096,0.00002350526,0.0001035282,0.00004207887,0.003878765,0.9916837,0.002724987,0.0001958011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5504675,0.0003529412,0.02055953,0.4000436,0.0007208564,0.003779555,0.0001431265,0.0003949124,0.02353793],"genre_scores_gemma":[0.9914755,0.00003470641,0.005500891,0.000549455,0.0004428578,0.0001450815,3.77953e-7,0.00005367764,0.001797461],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.441008,"threshold_uncertainty_score":0.5296852,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2143449594","doi":"10.1017/s0305004113000108","title":"On the Bourbaki–Witt principle in toposes","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Topos theory; Mathematics; Transfinite number; Pure mathematics; Fixed point; Point (geometry); Least fixed point; Partially ordered set; Set (abstract data type); Discrete mathematics; Algebra over a field; Fixed-point theorem; Computer science; Mathematical analysis; Geometry; Brouwer fixed-point theorem","authors":[{"name":"Andrej Bauer","is_ca":false},{"name":"Peter LeFanu Lumsdaine","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03430989824914111,"gpt":0.2910364935174907,"spread":0.2567265952683496,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001010591,0.000288878,0.000493378,0.00002530731,0.000241865,0.0000380371,0.0008921881,0.0002603036,0.0002389182],"category_scores_gemma":[0.002394713,0.0001475811,0.0004428104,0.0003251352,0.0009114816,0.000160214,0.0003933888,0.0008801364,0.0001016656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008902285,"about_ca_system_score_gemma":0.00002200052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002179199,"about_ca_topic_score_gemma":1.415729e-7,"domain_scores_codex":[0.9980248,0.00004243914,0.0006426348,0.0003337132,0.0004928542,0.0004635791],"domain_scores_gemma":[0.9970714,0.002031499,0.0002770801,0.0003640357,0.0001556082,0.0001003901],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001863638,0.0003527386,0.000161526,0.0002517086,0.00003925402,3.037099e-7,0.0003817055,0.000001273458,0.0008635508,0.9930989,0.004795701,0.00003470484],"study_design_scores_gemma":[0.000314845,0.00006641607,0.0004655991,0.0002177737,0.00002900734,0.00001192997,0.0003008214,0.000728938,0.003009304,0.9945922,0.00008630056,0.0001768268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9197673,0.00002056004,0.0002212737,0.03904419,0.00006843765,0.001031843,0.000005886162,0.00007961098,0.03976092],"genre_scores_gemma":[0.9944891,0.000005492825,0.002525597,0.001835626,0.0001304057,0.0001501448,4.247258e-7,0.00003853598,0.0008246315],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07472186,"threshold_uncertainty_score":0.6018184,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2119417700","doi":"10.1017/s0305004110000216","title":"On the volume of caps and bounding the mean-width of an isotropic convex body","year":2010,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Hyperplane; Converse; Convex body; Isotropy; Mathematics; Bounding overwatch; Regular polygon; Mixed volume; Quasiconvex function; Combinatorics; Upper and lower bounds; Gaussian; Mathematical analysis; Volume (thermodynamics); Position (finance); Pure mathematics; Geometry; Physics; Convex set; Convex hull; Convex optimization; Computer science; Thermodynamics; Quantum mechanics","authors":[{"name":"Peter Pivovarov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03134460925255904,"gpt":0.2745601746904012,"spread":0.2432155654378422,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002100347,0.0002801617,0.0006660747,0.00004061421,0.0003019582,0.00006174996,0.0009651608,0.0002215545,0.00006735911],"category_scores_gemma":[0.003891733,0.0001304783,0.0004080147,0.0004945908,0.001557639,0.0001613381,0.0003785296,0.0008163168,0.000002961685],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002330319,"about_ca_system_score_gemma":0.00004126446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001112714,"about_ca_topic_score_gemma":4.902053e-7,"domain_scores_codex":[0.9976083,0.0000341035,0.0008545817,0.0002841193,0.0008747946,0.0003441135],"domain_scores_gemma":[0.9963179,0.001999591,0.0006991074,0.000440364,0.0004391911,0.0001038564],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002436461,0.0002772598,0.0001324319,0.001437987,0.00009641791,1.013812e-7,0.001692459,1.888184e-7,0.007470345,0.9875992,0.001223948,0.00004530145],"study_design_scores_gemma":[0.0003251088,0.0002118796,0.0003727039,0.0002054293,0.0001581929,0.00001771141,0.001229198,0.002532305,0.01379195,0.9809272,0.00006676229,0.0001615351],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9810551,0.00003363887,0.0002006548,0.01306081,0.00008837925,0.0005358041,0.0000357864,0.00003226783,0.004957574],"genre_scores_gemma":[0.9974217,0.00001262027,0.001745299,0.00037249,0.0001815685,0.00002666538,6.683354e-7,0.00003421473,0.0002047429],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01636664,"threshold_uncertainty_score":0.5739187,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2260651588","doi":"10.1017/s0305004115000341","title":"Loci of complex polynomials, part II: polar derivatives","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Locus (genetics); Mathematics; Polar; Combinatorics; Polynomial; Pure mathematics; Mathematical analysis; Physics; Chemistry","authors":[{"name":"Blagovest Sendov","is_ca":false},{"name":"Hristo S. Sendov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1072234566150502,"gpt":0.3101107488112058,"spread":0.2028872921961556,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007585546,0.0003065061,0.0008737617,0.00002794481,0.0001995062,0.00002649691,0.0006514134,0.000227016,0.00004939064],"category_scores_gemma":[0.002454318,0.0001991717,0.0006252935,0.0004063084,0.0007557639,0.0001745951,0.0005900501,0.000331483,0.0000073371],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001080488,"about_ca_system_score_gemma":0.00005879445,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007646247,"about_ca_topic_score_gemma":1.719476e-7,"domain_scores_codex":[0.9972744,0.00003196983,0.001121029,0.0003237941,0.000880463,0.0003683425],"domain_scores_gemma":[0.9977477,0.0003684455,0.0007137516,0.0003015404,0.0005518988,0.0003166313],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003635725,0.000652612,0.0001792953,0.0006922995,0.0001207884,9.67171e-8,0.0006917262,0.000002807026,0.009749655,0.9790167,0.008803888,0.00005375261],"study_design_scores_gemma":[0.0007980367,0.0001621068,0.0001855138,0.0002427185,0.0001240643,0.000008754892,0.0005195645,0.004490898,0.004113058,0.9885544,0.0005412115,0.0002597339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9581233,0.00007819488,0.01021651,0.01102157,0.0001514168,0.001157069,0.0001330022,0.0001543574,0.01896454],"genre_scores_gemma":[0.9812583,0.000003747371,0.0179245,0.0001561308,0.0002639568,0.00003002103,0.000005361801,0.00004315929,0.0003147853],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.023135,"threshold_uncertainty_score":0.8121986,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2114443964","doi":"10.1017/s0305004109990375","title":"Sets of zero discrete harmonic density","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; University of British Columbia","funders":"","keywords":"Dual polyhedron; Zero (linguistics); Mathematics; Abelian group; Group (periodic table); Harmonic; Discrete group; Open set; Combinatorics; Set (abstract data type); Discrete mathematics; Pure mathematics; Physics; Quantum mechanics; Computer science","authors":[{"name":"Colin C. Graham","is_ca":true},{"name":"Kathryn E. Hare","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0332437309083349,"gpt":0.3005435422355273,"spread":0.2672998113271924,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008294472,0.0002985283,0.0007680086,0.00002358976,0.0001862785,0.00001241313,0.0007136025,0.0003139338,0.00002580545],"category_scores_gemma":[0.00130736,0.0001961141,0.0007686531,0.0002889433,0.0009451684,0.0001576231,0.0002626715,0.0006057439,0.000008585122],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005763859,"about_ca_system_score_gemma":0.00002567748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.408399e-7,"about_ca_topic_score_gemma":2.429513e-8,"domain_scores_codex":[0.9979209,0.00002634114,0.0007765556,0.000338731,0.0005343356,0.0004030794],"domain_scores_gemma":[0.998143,0.0006279568,0.0004998393,0.0003369438,0.0002548335,0.0001374694],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006101402,0.0003400734,0.0001193966,0.0005186544,0.00008088881,5.220034e-7,0.0003627784,5.376011e-7,0.01039775,0.9861975,0.001793666,0.0001272135],"study_design_scores_gemma":[0.0004252081,0.0001237368,0.000658983,0.0002170097,0.0001470993,0.00003056721,0.00008917383,0.0003847188,0.03123286,0.9664766,0.00001712999,0.0001969421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9666652,0.00005592384,0.003855031,0.01332996,0.00006983959,0.0005522853,0.00002253632,0.0001189109,0.0153303],"genre_scores_gemma":[0.9861233,0.00001177986,0.01298541,0.0005603548,0.00008102586,0.000007855936,0.000001119187,0.00002656137,0.0002026404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02083511,"threshold_uncertainty_score":0.7997299,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Codimension; Torsion (gastropod); Mathematics; Covering space; Linear subspace; Pure mathematics; Combinatorics; Generalization; Mathematical analysis","authors":[{"name":"Joseph Lauer","is_ca":true},{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03068182350641291,"gpt":0.2440776677403437,"spread":0.2133958442339308,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005474125,0.0003272275,0.0006632684,0.00004368984,0.0002590166,0.00006063861,0.000643305,0.0003029563,0.0002542667],"category_scores_gemma":[0.0009977508,0.0001896247,0.0004464634,0.00069246,0.0006219179,0.0002523133,0.0004315055,0.0006349073,0.00007944887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008460396,"about_ca_system_score_gemma":0.00002534589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006905826,"about_ca_topic_score_gemma":5.365463e-8,"domain_scores_codex":[0.997532,0.00001654828,0.0007123154,0.0004048601,0.0008144839,0.00051987],"domain_scores_gemma":[0.9981508,0.0005420377,0.0004537416,0.0002877911,0.0003536481,0.0002119762],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001163149,0.0003870205,0.00085796,0.0006752879,0.0001218914,2.030226e-7,0.0003141174,3.499888e-7,0.003111564,0.9892505,0.005169107,0.0001003507],"study_design_scores_gemma":[0.0006148175,0.0001645716,0.001949247,0.0002976168,0.0001491323,0.00003734336,0.0003830248,0.001200395,0.002649232,0.9922247,0.00003680564,0.0002931276],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9672477,0.00002470549,0.001035957,0.01277334,0.00005913816,0.0008617355,0.000004004883,0.000151544,0.01784185],"genre_scores_gemma":[0.9705723,0.000002873975,0.02817532,0.0004084965,0.0002659451,0.00007160416,6.617463e-7,0.00005520505,0.0004475949],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02713936,"threshold_uncertainty_score":0.7732671,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2136067124","doi":"10.1017/s0305004112000485","title":"The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integers","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Ideal (ethics); Semigroup; Prime ideal; Affine transformation; Action (physics); Maximal ideal; Algebraic number; Space (punctuation); Affine plane (incidence geometry)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.031600695739858,"gpt":0.2957669426965137,"spread":0.2641662469566556,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.002763231,0.0004433745,0.0009699144,0.00002979165,0.0004067686,0.00002897523,0.002638807,0.0003247201,0.00003324978],"category_scores_gemma":[0.007006868,0.0001917491,0.001404121,0.001113694,0.003600551,0.000251835,0.002082684,0.001286263,0.000004334514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001857896,"about_ca_system_score_gemma":0.000131639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006701804,"about_ca_topic_score_gemma":6.203064e-7,"domain_scores_codex":[0.9952836,0.0001321367,0.001417905,0.0003509772,0.002036281,0.000779077],"domain_scores_gemma":[0.9939458,0.002723081,0.001319743,0.000932312,0.0008948029,0.0001842368],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006734764,0.0005383739,0.001012479,0.001485152,0.0002656272,4.657593e-8,0.002434582,0.000001686508,0.05306115,0.93879,0.002267415,0.00007610085],"study_design_scores_gemma":[0.0007393831,0.0001240151,0.00315317,0.0009435178,0.0003075639,0.00002174844,0.002127683,0.0005307487,0.2487156,0.7429159,0.0001317986,0.0002889495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9700214,0.0002460855,0.0002289655,0.02037737,0.0001740508,0.001801803,0.00005770302,0.00003912443,0.007053494],"genre_scores_gemma":[0.996537,0.00003044418,0.002588471,0.0001559722,0.0002165849,0.00006159876,4.221751e-7,0.00007860696,0.0003309],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1958742,"threshold_uncertainty_score":0.9991111,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3101027143","doi":"10.1017/s0305004109002539","title":"Completely positive maps into corona algebras","year":2009,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of New Brunswick","funders":"","keywords":"Duality (order theory); Constructive; Mathematics; Constructive proof; Dual (grammatical number); Pure mathematics; Corona (planetary geology); Algebra over a field; Discrete mathematics; Physics; Computer science; Philosophy; Linguistics","authors":[{"name":"Dan Kučerovský","is_ca":true},{"name":"Ping Wong Ng","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04284237687357648,"gpt":0.3194671552351955,"spread":0.276624778361619,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000936857,0.0004691273,0.0008595099,0.00004370675,0.0004231629,0.00009500645,0.001313244,0.0003109623,0.00007627878],"category_scores_gemma":[0.001622751,0.0003204946,0.0007968167,0.0006672323,0.0008853947,0.0003287288,0.0005567021,0.001036539,0.00006106184],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002685339,"about_ca_system_score_gemma":0.0000589371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001876845,"about_ca_topic_score_gemma":9.709036e-8,"domain_scores_codex":[0.9962761,0.00003655072,0.0009188387,0.0005967502,0.001446604,0.0007251855],"domain_scores_gemma":[0.9975364,0.000700447,0.00034874,0.0004357688,0.000646065,0.0003325854],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005745685,0.0005491406,0.00005721121,0.0004048045,0.00009322486,0.000001455902,0.000574133,5.190601e-7,0.01567567,0.9722157,0.009998324,0.000372324],"study_design_scores_gemma":[0.0006670605,0.0002738932,0.0005861562,0.0002693709,0.00008625972,0.00004310595,0.0001969834,0.0007685004,0.0163487,0.9802995,0.0001000669,0.0003603701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8707497,0.0001227621,0.002377224,0.07440612,0.000115145,0.002250517,0.00008027493,0.0004018449,0.04949646],"genre_scores_gemma":[0.958264,0.000009823299,0.03951919,0.001517311,0.0002924463,0.00005359007,0.000003520954,0.00006744529,0.0002726479],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08751438,"threshold_uncertainty_score":0.9999247,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Quasiconvex function; Exponential growth; Group (periodic table); Class (philosophy); Work (physics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03673943761262972,"gpt":0.2778558499321822,"spread":0.2411164123195524,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009501745,0.000277719,0.0007569113,0.0000567706,0.0001535299,0.00001700747,0.0009117516,0.0003010522,0.0001524563],"category_scores_gemma":[0.002508509,0.0001787252,0.0007089653,0.0009126449,0.002002175,0.0001131971,0.0004957099,0.0004046572,0.00003298718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004551644,"about_ca_system_score_gemma":0.00003416188,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000429394,"about_ca_topic_score_gemma":6.959218e-8,"domain_scores_codex":[0.9975978,0.00001863824,0.0008905285,0.0003498006,0.0007102011,0.0004330259],"domain_scores_gemma":[0.9976371,0.0006693061,0.0005616202,0.0002942916,0.0006909219,0.0001467546],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002141296,0.0003965686,0.0008385003,0.0009002501,0.0001071354,1.366608e-7,0.0004371021,6.634229e-9,0.00392804,0.9845917,0.008732961,0.00004621175],"study_design_scores_gemma":[0.0004639128,0.0002137221,0.0008029359,0.000132664,0.0001300696,0.00002367376,0.0002006598,0.0002242837,0.02829435,0.9692704,0.0000544747,0.0001888405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9479962,0.00003086624,0.001351395,0.01323953,0.0001555319,0.0004823679,0.0000169926,0.00009940037,0.03662773],"genre_scores_gemma":[0.9893904,0.000005202554,0.00943083,0.0003639263,0.0004490678,0.00001567038,4.449395e-7,0.00003967749,0.0003047421],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04139426,"threshold_uncertainty_score":0.7377098,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2064154513","doi":"10.1017/s0305004108001102","title":"The Brauer–Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer surface","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Brauer group; Section (typography); Plane (geometry); Pure mathematics; Degree (music); Geometry; Physics; Computer science","authors":[{"name":"Adam Logan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05433802917482678,"gpt":0.2620239423837,"spread":0.2076859132088733,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001499052,0.0003503013,0.0007737679,0.00003174664,0.0004242071,0.00001757172,0.0007010311,0.000336496,0.00002672231],"category_scores_gemma":[0.001618088,0.0002118363,0.0006450415,0.0006543729,0.001272854,0.0001622828,0.0002403679,0.0006551897,0.000007201783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007541878,"about_ca_system_score_gemma":0.00004677575,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001389711,"about_ca_topic_score_gemma":4.444894e-7,"domain_scores_codex":[0.9970113,0.00006070815,0.001124431,0.0003608835,0.001047823,0.0003948385],"domain_scores_gemma":[0.9962045,0.001880336,0.0009452247,0.0003832538,0.0004746433,0.000112026],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005171968,0.001029318,0.002416115,0.002570534,0.0005385844,9.503448e-7,0.002454272,0.00003349986,0.03960174,0.9456529,0.005046233,0.0001386777],"study_design_scores_gemma":[0.001118929,0.0003094776,0.006057826,0.0005060479,0.0002387262,0.0001500241,0.001025711,0.001336341,0.1186056,0.8702495,0.00004547385,0.0003563241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.99101,0.00008169178,0.0002196639,0.002595121,0.0001602194,0.0005806598,0.00002553766,0.00006570787,0.005261372],"genre_scores_gemma":[0.9969602,0.00004535213,0.002368335,0.00007518006,0.000184399,0.00001344953,0.00000165602,0.00004736668,0.0003041104],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07900389,"threshold_uncertainty_score":0.8638433,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2154252189","doi":"10.1017/s0305004105008947","title":"Incomplete exponential sums and Diffie–Hellman triples","year":2006,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Multiplicative function; Mathematics; Exponential function; Combinatorics; Integer (computer science); Order (exchange); Modulo; Prime (order theory); Distribution (mathematics); Discrete mathematics; Mathematical analysis; Computer science","authors":[{"name":"William D. Banks","is_ca":false},{"name":"John Friedlander","is_ca":true},{"name":"Sergeĭ Konyagin","is_ca":false},{"name":"Igor E. Shparlinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01040562719402029,"gpt":0.1960286202560741,"spread":0.1856229930620538,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005952976,0.0002423328,0.0003746192,0.00003634913,0.0003103297,0.0001644285,0.001118417,0.0001396833,0.000007434099],"category_scores_gemma":[0.00007981832,0.0001651026,0.0004817018,0.0004640748,0.0006194969,0.0002832848,0.0009107912,0.0003192959,0.000006551948],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002328632,"about_ca_system_score_gemma":0.00001211959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000376698,"about_ca_topic_score_gemma":7.767773e-8,"domain_scores_codex":[0.998217,0.00001953362,0.0004755098,0.0004270749,0.000509697,0.000351176],"domain_scores_gemma":[0.9990888,0.0002053465,0.0002063414,0.000274055,0.0001109014,0.0001145693],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001062644,0.0001735258,0.000210211,0.0001817447,0.00002726242,3.215501e-7,0.0001418468,7.198779e-7,0.01255497,0.9850028,0.001455994,0.0002400384],"study_design_scores_gemma":[0.00045967,0.00006984828,0.002296165,0.00009326071,0.00003899271,0.00002818159,0.00003219144,0.00686307,0.005735853,0.983825,0.0003181233,0.0002396648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9455303,0.0001563798,0.02020682,0.01777509,0.0001444952,0.0004549885,0.000009898295,0.0002664644,0.01545557],"genre_scores_gemma":[0.9902187,0.000007623019,0.009138016,0.0002764552,0.0002468843,0.00001809117,6.521753e-7,0.00001593925,0.00007763505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04468841,"threshold_uncertainty_score":0.673269,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2154990671","doi":"10.1017/s0305004115000274","title":"Portraits of preperiodic points for rational maps","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Conjecture; Degree (music); Periodic point; Field (mathematics); Rational function; Function (biology); Point (geometry); Action (physics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.06052032940289157,"gpt":0.2926674260745629,"spread":0.2321470966716714,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002011473,0.0002542803,0.0006302244,0.0000296269,0.0001166596,0.00002258891,0.0006081088,0.0002420497,0.00003495424],"category_scores_gemma":[0.003610198,0.0001736766,0.0007179818,0.0003308924,0.0006185934,0.0001679177,0.0002715351,0.0002786892,0.000008602005],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006607328,"about_ca_system_score_gemma":0.00009573997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.707038e-7,"about_ca_topic_score_gemma":2.290214e-8,"domain_scores_codex":[0.9976594,0.00001889618,0.0008760561,0.0003082247,0.0008130504,0.0003243658],"domain_scores_gemma":[0.9977136,0.0005902231,0.0005434392,0.0002372624,0.0007090241,0.0002064263],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009505196,0.0004406346,0.0001386548,0.001294157,0.0001244711,9.764175e-8,0.0007325035,5.241104e-7,0.001771076,0.9730775,0.02229465,0.00003064661],"study_design_scores_gemma":[0.0009188706,0.0001303739,0.00008365877,0.0001767798,0.0001401932,0.00002681142,0.0004303961,0.000380901,0.01236945,0.9849823,0.0001765038,0.0001837324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9368433,0.00006805036,0.005081423,0.02262592,0.0002196792,0.001914115,0.0001802905,0.0001381566,0.03292911],"genre_scores_gemma":[0.9705623,0.000001186993,0.0283324,0.0002837351,0.0002613024,0.00007302949,0.000004719418,0.00004123443,0.0004400784],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03371905,"threshold_uncertainty_score":0.7082328,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2786114152","doi":"10.1017/s0305004119000240","title":"Classifying spaces for commutativity of low-dimensional Lie groups","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; University of British Columbia; National Research Foundation; Danmarks Grundforskningsfond; London Mathematical Society","keywords":"Homotopy; Commutative property; Classifying space; Homotopy group; Homotopy category; Algebra over a field; n-connected; Action (physics); Lie group","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03666088608528541,"gpt":0.2933255307609052,"spread":0.2566646446756198,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001199698,0.0002906965,0.0009164504,0.00002986197,0.000160097,0.00001743255,0.0007053469,0.0004238426,0.0001071096],"category_scores_gemma":[0.001123061,0.0001977999,0.0008268417,0.0002327767,0.001025347,0.0001235332,0.0004571728,0.0005466185,0.00001967318],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005898555,"about_ca_system_score_gemma":0.00004994933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001156735,"about_ca_topic_score_gemma":9.082239e-8,"domain_scores_codex":[0.9978645,0.00003500577,0.0007958443,0.0003668595,0.0005167708,0.0004210258],"domain_scores_gemma":[0.9963947,0.002255916,0.0006058265,0.0003092068,0.0003299376,0.0001044274],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007886805,0.0005384035,0.0007222144,0.003068165,0.0001802448,1.757313e-7,0.0004654585,7.547883e-7,0.01540737,0.9768948,0.002609811,0.0000337642],"study_design_scores_gemma":[0.0008993397,0.0002154316,0.0002390668,0.0003446898,0.0001287269,0.00002802666,0.0002137264,0.002056403,0.01757926,0.9780375,0.00004334298,0.0002144653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9792659,0.00002926584,0.00050582,0.01200841,0.0001685646,0.001067409,0.00003791168,0.00006480554,0.006851885],"genre_scores_gemma":[0.9851806,0.000002343856,0.01383824,0.0003786154,0.0001373555,0.00006300752,0.000001922279,0.00004106467,0.0003568257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01333242,"threshold_uncertainty_score":0.8066045,"prediction_status":"machine_predicted_unvalidated"},"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,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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","authors":[{"name":"Hans Bodén","is_ca":true},{"name":"Stefan Friedl","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04008795781058019,"gpt":0.2842643902334425,"spread":0.2441764324228623,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008238562,0.0003524505,0.001014858,0.00008900957,0.0001809147,0.00004582464,0.0008922282,0.0003343061,0.000595411],"category_scores_gemma":[0.002549056,0.0002323808,0.0009373943,0.001027333,0.001028032,0.0002440867,0.0005321053,0.0004942697,0.00005685197],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005732613,"about_ca_system_score_gemma":0.000041432,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002738573,"about_ca_topic_score_gemma":1.503526e-7,"domain_scores_codex":[0.9968884,0.00003947437,0.001317714,0.0004502584,0.0007895571,0.0005145886],"domain_scores_gemma":[0.996852,0.001133431,0.0007780002,0.0004502263,0.000566489,0.000219821],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001294344,0.0006320337,0.0005923091,0.000905906,0.0003093975,1.981616e-7,0.0005215013,5.823813e-7,0.02150324,0.9422922,0.03312079,0.0001089003],"study_design_scores_gemma":[0.0008476372,0.00009145008,0.002365286,0.0001339671,0.0003132568,0.00002921296,0.0006454692,0.0006031262,0.0129956,0.9815895,0.0001009732,0.0002845492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9306481,0.0001151019,0.001230269,0.03033663,0.0001605243,0.001556617,0.00003843408,0.0001461171,0.03576815],"genre_scores_gemma":[0.9849781,0.00001254682,0.01270312,0.0004655862,0.0002227538,0.0001054293,0.000002100543,0.00005271836,0.001457598],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05432998,"threshold_uncertainty_score":0.9476216,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2904419586","doi":"10.1017/s0305004119000458","title":"Lower Assouad Dimension of Measures and Regularity","year":2019,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Dimension (graph theory); Measure (data warehouse); Infimum and supremum; Upper and lower bounds; Class (philosophy); Bernoulli's principle","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02546489475573496,"gpt":0.2592944330561829,"spread":0.2338295383004479,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001389281,0.0003043602,0.0009109988,0.00002832467,0.00009134159,0.00003445705,0.0004865415,0.0003142212,0.00006260167],"category_scores_gemma":[0.001331347,0.0001908907,0.0006077847,0.0002712749,0.0005405801,0.000142633,0.0005683059,0.0004652584,0.00001139505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004602764,"about_ca_system_score_gemma":0.0000200813,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001877014,"about_ca_topic_score_gemma":6.535652e-8,"domain_scores_codex":[0.997399,0.0000215967,0.0008966755,0.0003831112,0.0009607564,0.0003388485],"domain_scores_gemma":[0.9978065,0.0007338217,0.0005415056,0.000384452,0.0003780443,0.0001556106],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003359476,0.0004894568,0.0004720336,0.00249851,0.0001113931,1.745597e-7,0.0002689047,2.763838e-7,0.02323927,0.9718269,0.0009955221,0.00006397584],"study_design_scores_gemma":[0.000496736,0.0001221541,0.0006203735,0.000549898,0.0001476406,0.00001722597,0.0001106452,0.006003585,0.004909113,0.9867402,0.00005121961,0.0002312574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9760191,0.00005181102,0.0005479795,0.004255381,0.00007603105,0.0007893654,0.00002091111,0.00005409565,0.01818536],"genre_scores_gemma":[0.9889168,0.00001537258,0.01047453,0.0001488964,0.00005913902,0.00001274547,5.867896e-7,0.00004364189,0.0003282722],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01833015,"threshold_uncertainty_score":0.7784296,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2058633991","doi":"10.1017/s0305004101005825","title":"Exponents and suspension","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Exponent; Suspension (topology); Homotopy group; Homotopy; Prime (order theory); Conjecture; Corollary; Pure mathematics; n-connected; Combinatorics","authors":[{"name":"Don Stanley","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05047520859124881,"gpt":0.2708677176050827,"spread":0.2203925090138339,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000481443,0.0002343503,0.0004904954,0.00002043508,0.0002162954,0.0000224803,0.0004319861,0.0003097929,0.0002018115],"category_scores_gemma":[0.0008002893,0.000152993,0.0003204258,0.0001943793,0.0009821941,0.00010314,0.0004490134,0.0004729072,0.00003113942],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003335761,"about_ca_system_score_gemma":0.000004842643,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.622468e-7,"about_ca_topic_score_gemma":4.306758e-8,"domain_scores_codex":[0.9983861,0.00002201195,0.0005139228,0.000332711,0.0003928693,0.0003524232],"domain_scores_gemma":[0.9988534,0.0004467259,0.0002256875,0.0002187699,0.0001172854,0.0001380873],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009194631,0.0002908804,0.0003429432,0.000348257,0.00006351596,9.133844e-7,0.0005265731,1.819198e-8,0.004054701,0.9851273,0.009074101,0.0001615894],"study_design_scores_gemma":[0.0004626053,0.0000793514,0.0003188498,0.0001028982,0.00009471243,0.0001428341,0.0001254069,0.0009681851,0.003767103,0.9936222,0.0001361056,0.0001797827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9484785,0.00008185351,0.00008487526,0.02505105,0.00008711554,0.0003892583,0.000004474942,0.00009285955,0.02573007],"genre_scores_gemma":[0.9944882,0.00003134316,0.003953267,0.000608613,0.0001470727,0.0000234052,2.273205e-7,0.00002892304,0.0007189748],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04600973,"threshold_uncertainty_score":0.6238875,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2112241312","doi":"10.1017/s0305004113000157","title":"Extremal sequences of polynomial complexity","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Polynomial; Combinatorics; Mathematical analysis","authors":[{"name":"Kevin G. Hare","is_ca":true},{"name":"Ian D. Morris","is_ca":false},{"name":"Nikita Sidorov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05878327624221276,"gpt":0.279125477526927,"spread":0.2203422012847143,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006439709,0.0003036291,0.0007315339,0.00002770514,0.0002687384,0.00003577679,0.001000502,0.0002578788,0.0002567688],"category_scores_gemma":[0.000677924,0.0001800676,0.0008581881,0.0002811522,0.002075044,0.0002046849,0.0006743244,0.0004722322,0.000009354382],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000463833,"about_ca_system_score_gemma":0.00002604557,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009573535,"about_ca_topic_score_gemma":6.281914e-8,"domain_scores_codex":[0.9976194,0.00002620855,0.00089811,0.0003184617,0.0007470557,0.000390798],"domain_scores_gemma":[0.9980966,0.0005205764,0.0005479382,0.0003118244,0.0003734154,0.0001496125],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001733296,0.0002131854,0.0004143066,0.0009468228,0.00009529481,9.799767e-8,0.0006929265,2.205779e-7,0.01834913,0.9714057,0.007788223,0.00007678547],"study_design_scores_gemma":[0.000325376,0.00006713367,0.001140828,0.0001650277,0.00009254514,0.00001952176,0.0002910692,0.0006155099,0.01834374,0.9787105,0.0000247518,0.0002040089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9750656,0.00003980574,0.000170959,0.005318492,0.00011314,0.0006427047,0.00002529941,0.00007158376,0.01855243],"genre_scores_gemma":[0.9778748,0.000004522087,0.02143889,0.0002341577,0.0002446542,0.00003160733,5.343179e-7,0.00003379667,0.0001370138],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02126793,"threshold_uncertainty_score":0.7645586,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2107393062","doi":"10.1017/s0305004107000400","title":"Iterated realizability as a comma construction","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Realizability; Topos theory; Morphism; Iterated function; Mathematics; Interpretation (philosophy); Pure mathematics; Generalization; Object (grammar); Context (archaeology); Algebra over a field; Monad (category theory); Discrete mathematics; Computer science; Artificial intelligence; Algorithm; Programming language; Functor; Mathematical analysis","authors":[{"name":"Pieter Hofstra","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0225193105389706,"gpt":0.2349297276500416,"spread":0.212410417111071,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000355196,0.000218835,0.0003838303,0.0000180919,0.0003721148,0.00004809853,0.001115447,0.0001672334,0.00001430764],"category_scores_gemma":[0.0003756665,0.0001428176,0.0004094821,0.0006384362,0.0009488533,0.0004122667,0.0005792461,0.000409853,0.00002935075],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007324001,"about_ca_system_score_gemma":0.00004513687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002786932,"about_ca_topic_score_gemma":1.29668e-8,"domain_scores_codex":[0.9981769,0.00001950287,0.0005008314,0.0004217142,0.0005618457,0.0003192521],"domain_scores_gemma":[0.9987814,0.0001570499,0.0002452001,0.0003512031,0.0003123544,0.0001527403],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008965995,0.0001707476,0.0005025764,0.0001292845,0.00002470813,9.654424e-7,0.0003860329,0.000002168582,0.001983026,0.9955172,0.001128779,0.000145541],"study_design_scores_gemma":[0.0003620778,0.00009070591,0.001375812,0.0000669755,0.00001646358,0.0003766564,0.00004444551,0.009555628,0.005321334,0.9823954,0.0001844203,0.0002101525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9082246,0.00004294749,0.03434799,0.02791873,0.0002189622,0.000621964,0.000007246053,0.0003971611,0.02822042],"genre_scores_gemma":[0.9669088,0.00001262009,0.03189325,0.0009534525,0.000127457,0.00002045856,6.875296e-7,0.00001232831,0.00007099007],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05868417,"threshold_uncertainty_score":0.5823932,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1560303216","doi":"10.1017/s0305004116000797","title":"Increasing subsequences of random walks","year":2016,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Random walk; Subsequence; Longest increasing subsequence; Upper and lower bounds; Exponent; Sequence (biology); Zero (linguistics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0833707892992706,"gpt":0.3199049752421128,"spread":0.2365341859428422,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.007407682,0.0002267718,0.0007988145,0.00004363174,0.0001873778,0.00006253828,0.001817506,0.00023197,0.00009890379],"category_scores_gemma":[0.01157782,0.00009206978,0.0009889163,0.0006794826,0.00199848,0.0004285091,0.0006168689,0.0002509453,0.00003543591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006168349,"about_ca_system_score_gemma":0.00006236739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006742653,"about_ca_topic_score_gemma":1.561393e-7,"domain_scores_codex":[0.9955643,0.00008249269,0.001409019,0.0005085612,0.002077532,0.0003581097],"domain_scores_gemma":[0.9943035,0.003549275,0.0007186024,0.0004329883,0.0008239918,0.0001715937],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002435642,0.0003432487,0.004682229,0.0002359262,0.00007859416,2.265893e-7,0.0005516091,0.000002829216,0.09031006,0.8991542,0.002147422,0.002250022],"study_design_scores_gemma":[0.0007921896,0.00005564533,0.001217625,0.000279807,0.00004338892,0.00002046756,0.0001223117,0.001017145,0.0181955,0.9780015,0.0001070278,0.0001473801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9486918,0.00006560229,0.003022771,0.03614673,0.00008706393,0.0004247411,0.00003139586,0.00004168523,0.01148825],"genre_scores_gemma":[0.9957352,0.000019827,0.003686126,0.0001975954,0.0001239378,0.00001393257,1.259066e-7,0.00001434256,0.0002089304],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07884725,"threshold_uncertainty_score":0.9967481,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1968117046","doi":"10.1017/s0305004104007832","title":"A cubic transformation formula for $_{2}F_{1}(\\frac{1}{3},\\frac{2}{3};1;z)$ and some arithmetic convolution formulae","year":2004,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Transformation (genetics); Mathematics; Convolution (computer science); Arithmetic; Pure mathematics; Combinatorics; Chemistry; Computer science","authors":[{"name":"Kenneth S. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03143473855531352,"gpt":0.2753136657342814,"spread":0.2438789271789679,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001245231,0.0004158238,0.0008667973,0.0001088543,0.0004581226,0.00008055177,0.0004862219,0.000402014,0.00001154397],"category_scores_gemma":[0.001274209,0.0002878587,0.001007739,0.0007723834,0.0005434602,0.000650779,0.0001849682,0.000459504,0.00000946729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002200139,"about_ca_system_score_gemma":0.00005799897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006693913,"about_ca_topic_score_gemma":2.903029e-7,"domain_scores_codex":[0.9970458,0.0000117605,0.001094764,0.000455007,0.0008101265,0.0005825789],"domain_scores_gemma":[0.9979942,0.0005908909,0.000506099,0.0002528243,0.0004272299,0.0002287327],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004651933,0.0003496033,0.00003624775,0.001947902,0.0002256407,1.304866e-7,0.001005177,0.000005093984,0.0008853962,0.994574,0.0005455095,0.0003787426],"study_design_scores_gemma":[0.001894739,0.000186973,0.0001302221,0.0002449259,0.0006231647,0.0000314532,0.0006123505,0.007491619,0.0032903,0.9850466,0.0001032473,0.0003444369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.844676,0.0002845103,0.1207837,0.02874355,0.00008927193,0.002497535,0.00007206957,0.0002138602,0.00263953],"genre_scores_gemma":[0.9798159,0.00005717401,0.01898503,0.0005571125,0.0002444587,0.0001497044,0.000006842982,0.0000561886,0.0001275862],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1351399,"threshold_uncertainty_score":0.9999574,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962938328","doi":"10.1017/s0305004117000780","title":"On the typical size and cancellations among the coefficients of some modular forms","year":2018,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Macquarie University; National Science Foundation","keywords":"Mathematics; Modular form; Multiplicative function; Holomorphic function; Ramanujan's sum; Cusp (singularity); Logarithm; Fourier series; Combinatorics; Number theory; Pure mathematics; Central limit theorem; Smoothness; Natural density; Coprime integers; Elliptic curve; Upper and lower bounds; Mathematical analysis; Statistics","authors":[{"name":"Florian Luca","is_ca":false},{"name":"Maksym Radziwiłł","is_ca":true},{"name":"Igor E. Shparlinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03827192166150093,"gpt":0.2975194869199213,"spread":0.2592475652584204,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001953804,0.0002425437,0.0004503501,0.00001705359,0.0004976966,0.00005213235,0.0009667814,0.0001774002,0.00008911446],"category_scores_gemma":[0.004157948,0.0001048758,0.0003994839,0.0004157765,0.003840296,0.00009969799,0.0006029298,0.0006112317,0.00001601139],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000682624,"about_ca_system_score_gemma":0.00003578065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000341057,"about_ca_topic_score_gemma":2.686864e-7,"domain_scores_codex":[0.9976026,0.00004506466,0.0006060526,0.0003122322,0.001035735,0.0003983589],"domain_scores_gemma":[0.9954678,0.003212626,0.0003263924,0.0004629398,0.0004049098,0.0001253577],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005254749,0.0002263714,0.0001939449,0.0002547156,0.0001192678,8.641874e-8,0.0006343084,0.000001056736,0.001307978,0.9943661,0.002824611,0.00001901739],"study_design_scores_gemma":[0.0003073307,0.0001161014,0.001205739,0.0002037321,0.0001133746,0.000006124194,0.0003865359,0.009604203,0.003639378,0.9842641,0.00002736373,0.0001259893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9690004,0.00001468786,0.0004177004,0.01945733,0.00003580513,0.0008386423,0.00001845638,0.00003253182,0.01018442],"genre_scores_gemma":[0.9982913,0.000005728938,0.0005040003,0.0004581222,0.0002053277,0.00003643585,2.363266e-7,0.00003688853,0.0004620171],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02929081,"threshold_uncertainty_score":0.9988707,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2529139534","doi":"10.1017/s030500411700041x","title":"Traces, high powers and one level density for families of curves over finite fields","year":2017,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Finite field; Function field; Pure mathematics; Polynomial; Field (mathematics); Genus; Prime (order theory); Unitary matrix; Moduli; Function (biology); Riemann zeta function; Dirichlet distribution; Characteristic polynomial; Moduli space; Combinatorics; Mathematical analysis; Unitary state; Physics","authors":[{"name":"Alina Bucur","is_ca":false},{"name":"Edgar Costa","is_ca":false},{"name":"Chantal David","is_ca":true},{"name":"João Guerreiro","is_ca":false},{"name":"David Lowry-Duda","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1243983570904419,"gpt":0.3438903130714237,"spread":0.2194919559809818,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002472238,0.0005313955,0.001734369,0.00005050145,0.0002889218,0.00009294544,0.001572505,0.0008402761,0.00003409303],"category_scores_gemma":[0.007147049,0.0003893036,0.001178798,0.0001180206,0.001914237,0.0001353083,0.00260586,0.001408722,0.000001912927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009367773,"about_ca_system_score_gemma":0.0001472232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003193585,"about_ca_topic_score_gemma":0.00000119507,"domain_scores_codex":[0.9964405,0.0000356647,0.001114682,0.0006888357,0.001207176,0.0005131302],"domain_scores_gemma":[0.9944513,0.002469694,0.001241508,0.0007897377,0.00084229,0.0002054324],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00014577,0.000655078,0.0003236964,0.04440472,0.0009230704,4.547605e-7,0.0006825854,0.000001276869,0.0006700894,0.9398347,0.01223492,0.0001236784],"study_design_scores_gemma":[0.0006917204,0.00009400003,0.0006379456,0.00406059,0.0007156986,0.000005808069,0.0001481664,0.002323172,0.003060895,0.9878635,0.00001824415,0.0003802036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9368297,0.0005275448,0.008673464,0.04084685,0.0002239436,0.004080712,0.001008783,0.0001233755,0.007685605],"genre_scores_gemma":[0.9786725,0.0003857706,0.01929531,0.0002568764,0.0002636378,0.0001085638,0.000008621667,0.0000858046,0.0009229105],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04802889,"threshold_uncertainty_score":0.9998559,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2113546599","doi":"10.1017/s0305004104008199","title":"Norms of cyclotomic Littlewood polynomials","year":2005,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia; Simon Fraser University","funders":"","keywords":"Combinatorics; Norm (philosophy); Physics; Mathematics; Philosophy","authors":[{"name":"Peter Borwein","is_ca":true},{"name":"Kwok-Kwong Stephen Choi","is_ca":true},{"name":"Ron Ferguson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04327435892471714,"gpt":0.3113435671833488,"spread":0.2680692082586317,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00198129,0.0003452074,0.0009617021,0.00004912155,0.0001479749,0.00003565884,0.001318659,0.0003063579,0.000187965],"category_scores_gemma":[0.001903272,0.0002213555,0.001077245,0.000519201,0.001116656,0.0002085894,0.0007219398,0.0006612841,0.00006367853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001664017,"about_ca_system_score_gemma":0.00006998992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003022059,"about_ca_topic_score_gemma":1.34517e-7,"domain_scores_codex":[0.9965572,0.00003187854,0.001239842,0.0004061359,0.001195694,0.0005692557],"domain_scores_gemma":[0.9973078,0.0009564961,0.0005985375,0.0004757352,0.0004322748,0.0002291834],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000580187,0.0007115116,0.0003056836,0.001299848,0.0002274299,2.044633e-7,0.0005240484,0.000001001084,0.02206288,0.9660399,0.008594383,0.0001750913],"study_design_scores_gemma":[0.0007194078,0.00007708403,0.0001647609,0.0002976759,0.0001849608,0.0000306435,0.0002145188,0.002071759,0.05637705,0.939381,0.0002157214,0.0002654404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.925572,0.00005021752,0.0004375366,0.0199403,0.00004511575,0.0008930651,0.00003791319,0.000107593,0.05291625],"genre_scores_gemma":[0.9856257,0.00001176102,0.01226463,0.0002426644,0.0004516107,0.0000336929,6.824176e-7,0.0000698136,0.001299418],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06005372,"threshold_uncertainty_score":0.9026615,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2275222940","doi":"10.1017/s0305004115000535","title":"Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction","year":2015,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Multiplicative function; Iwasawa theory; Elliptic curve; Galois module; Formal group; Multiplicative group; Pure mathematics; Conjecture; Invariant (physics); Commutative property; Prime (order theory); Congruence relation; Galois group; Discrete mathematics; Combinatorics; Mathematical analysis","authors":[{"name":"Daniel Delbourgo","is_ca":false},{"name":"Antonio Lei","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05346691573088685,"gpt":0.298190336766405,"spread":0.2447234210355181,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002526156,0.0003906424,0.0007362917,0.00003242085,0.000243259,0.0000337813,0.0007405897,0.00022067,0.00001519963],"category_scores_gemma":[0.001983561,0.0002348748,0.0005298454,0.0005329042,0.001134991,0.000261765,0.0002696914,0.000535631,0.00001578915],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001340928,"about_ca_system_score_gemma":0.00007042434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.116372e-7,"about_ca_topic_score_gemma":2.014141e-8,"domain_scores_codex":[0.9976889,0.00004292513,0.0006567242,0.0004585089,0.0007135313,0.0004393757],"domain_scores_gemma":[0.9967436,0.001186816,0.0005815042,0.0003611197,0.0008760469,0.0002508782],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003525696,0.0006104382,0.00004157865,0.002540012,0.0003303542,1.768331e-7,0.002846703,0.000001714605,0.00133803,0.9810718,0.01080432,0.00006227057],"study_design_scores_gemma":[0.001196676,0.0003087216,0.00004255031,0.0009083459,0.000365209,0.0000564498,0.003070771,0.0007187583,0.01749895,0.9754547,0.00005807393,0.0003207497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8881312,0.0003276158,0.03668288,0.02988563,0.0002161462,0.005862275,0.00009478271,0.0003691607,0.03843032],"genre_scores_gemma":[0.9741654,0.00001233606,0.02403453,0.0004025743,0.0002793484,0.0003474258,0.000004183168,0.00007755095,0.0006766655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08603419,"threshold_uncertainty_score":0.9577916,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2131083242","doi":"10.1017/s0305004103007448","title":"A Kolmogorov-type inequality","year":2004,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Type (biology); Inequality; Mathematics; Mathematical analysis; Biology","authors":[{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02496696355232967,"gpt":0.2506858761025553,"spread":0.2257189125502256,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005786084,0.0001612003,0.0002938852,0.00002301093,0.0001802653,0.00009665793,0.001111241,0.0001190996,0.00001751566],"category_scores_gemma":[0.0003898249,0.0001047429,0.0004289958,0.001006611,0.0001692415,0.0003391219,0.00052711,0.0002435834,0.00003712383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008778851,"about_ca_system_score_gemma":0.00005778428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003944541,"about_ca_topic_score_gemma":4.917164e-8,"domain_scores_codex":[0.9983397,0.00001067024,0.000459327,0.0003151464,0.000652594,0.0002225351],"domain_scores_gemma":[0.9988931,0.00008005641,0.0002222818,0.0002533728,0.0004285733,0.0001226193],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003165811,0.0002052166,0.0001197322,0.00008267424,0.00004741565,7.546599e-8,0.0002164333,0.000146651,0.001014869,0.9977597,0.0003732508,0.00003078648],"study_design_scores_gemma":[0.0004250024,0.00004657026,0.001081073,0.00005863314,0.00004300951,0.000009975612,0.00002526561,0.04021124,0.002480699,0.9553627,0.00007311272,0.000182656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1682179,0.0000552044,0.5016322,0.2881809,0.0003123581,0.0007989609,0.00001410972,0.00050826,0.04028017],"genre_scores_gemma":[0.9284406,0.000006321104,0.06996756,0.001369176,0.0001032215,0.00000795401,8.918447e-7,0.0000095402,0.00009472026],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7602227,"threshold_uncertainty_score":0.4271293,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1987708037","doi":"10.1017/s0305004102006175","title":"The centric <i>p</i>-radical complex and a related <i>p</i>-local geometry","year":2002,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Illinois at Urbana-Champaign; Ryerson University","keywords":"Mathematics; Homotopy; Prime (order theory); Geometry; Combinatorics; Pure mathematics; Lie group","authors":[{"name":"Masato Sawabe","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0329211379342239,"gpt":0.2574578156079792,"spread":0.2245366776737553,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001149743,0.0003708938,0.0006915768,0.00003247047,0.0007801837,0.00006244553,0.0009779892,0.0005123239,0.0002671775],"category_scores_gemma":[0.001566928,0.0002095369,0.0005816687,0.0006411808,0.004425995,0.0001031037,0.0006842266,0.001103394,0.00004429306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007814459,"about_ca_system_score_gemma":0.00001614489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001168523,"about_ca_topic_score_gemma":9.323074e-8,"domain_scores_codex":[0.9970776,0.0000682961,0.0009797025,0.0004765498,0.00068769,0.0007101924],"domain_scores_gemma":[0.9969208,0.001893345,0.0003944574,0.0003763977,0.0001627286,0.0002523338],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001796063,0.0003277865,0.0001467577,0.0002654416,0.0001744363,0.000002265087,0.0003415148,1.301843e-7,0.0004331925,0.9750078,0.02257652,0.0007062194],"study_design_scores_gemma":[0.0008073409,0.0001165129,0.0003945122,0.00007881236,0.0001925784,0.0004950213,0.0002467174,0.005358458,0.0005560479,0.9900444,0.00143789,0.0002717322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7234265,0.001182717,0.0007652111,0.186044,0.0004153731,0.001696952,0.00003216508,0.0004031152,0.08603397],"genre_scores_gemma":[0.9960827,0.0001252397,0.001744134,0.0009741785,0.0001602888,0.00004440284,6.846215e-7,0.0000471908,0.0008211372],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2726563,"threshold_uncertainty_score":0.9982834,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990343943","doi":"10.1017/s0305004111000570","title":"Commuting elements, simplicial spaces and filtrations of classifying spaces","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Defense Advanced Research Projects Agency; National Science Foundation","keywords":"Classifying space; Mathematics; Homotopy; Homomorphism; Homotopy group; Cohomology; Space (punctuation); Pure mathematics; Group (periodic table); Commutative property; Combinatorics; Discrete mathematics; Computer science; Physics","authors":[{"name":"Alejandro Ádem","is_ca":true},{"name":"Fred Cohen","is_ca":false},{"name":"Enrique Torres-Giese","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07512414483204959,"gpt":0.3127888008043935,"spread":0.2376646559723439,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001317842,0.000508005,0.001333457,0.00005402643,0.0003151831,0.0000619827,0.001081628,0.000998306,0.00008616716],"category_scores_gemma":[0.001508822,0.0003729931,0.0007345917,0.0001978206,0.002017775,0.00009418677,0.002490198,0.001668639,0.000003558196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006261838,"about_ca_system_score_gemma":0.00008843632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001499041,"about_ca_topic_score_gemma":0.000001087367,"domain_scores_codex":[0.9969186,0.00006461493,0.001419695,0.0005632055,0.0005454552,0.0004884885],"domain_scores_gemma":[0.9965881,0.0009510756,0.001533166,0.0004596452,0.0003222463,0.0001458369],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002427164,0.0003934624,0.001155491,0.003850426,0.0004100117,4.343489e-7,0.00216029,2.571453e-7,0.001886672,0.9879628,0.002072088,0.00008382589],"study_design_scores_gemma":[0.0003408291,0.00009959261,0.0003076055,0.0007406892,0.0005100437,0.00003100382,0.0006196548,0.0006104523,0.004895319,0.9914722,0.00004183444,0.0003308093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9532316,0.0001611009,0.0005398465,0.01333131,0.0002320503,0.001200136,0.00009090897,0.0001212205,0.03109179],"genre_scores_gemma":[0.9769004,0.00005174039,0.02223916,0.0002151971,0.0002976667,0.00008217092,0.000004098942,0.00005752326,0.0001520523],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03093973,"threshold_uncertainty_score":0.9998722,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}