{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":38,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":38,"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":"7c8ad1b424ff","filters":{"venue":"Journal de Théorie des Nombres de Bordeaux"}},"results":[{"id":"W2098447376","doi":"10.5802/jtnb.457","title":"On the binary expansions of algebraic numbers","year":2009,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"semigroups and automata theory","field":"Computer Science","cited_by":49,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; U.S. Department of Energy","keywords":"Mathematics; Algebraic number; Binary number; Degree (music); Series (stratigraphy); Number theory; Discrete mathematics; Combinatorics; Arithmetic; Mathematical analysis","authors":[{"name":"David H. Bailey","is_ca":false},{"name":"Jonathan M. Borwein","is_ca":false},{"name":"Richard E. Crandall","is_ca":false},{"name":"Carl Pomerance","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01377222411330019,"gpt":0.2591296639192568,"spread":0.2453574398059566,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002168804,0.0004201016,0.0004756539,0.0002550262,0.0008665613,0.0005275395,0.002222193,0.0002224412,0.0002857528],"category_scores_gemma":[0.0005070588,0.0002971841,0.0004582998,0.0008330003,0.0003951178,0.0005648353,0.0002179186,0.001144111,0.00008323],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000320371,"about_ca_system_score_gemma":0.0008777873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004876235,"about_ca_topic_score_gemma":0.000005365046,"domain_scores_codex":[0.9964404,0.0006900954,0.0007764891,0.0003948566,0.0006742732,0.001023865],"domain_scores_gemma":[0.9965534,0.001162702,0.0005833358,0.001001835,0.0002333429,0.0004653885],"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":[0.0002577717,0.0008698172,0.0005887564,0.00004859582,0.000201059,0.0008473509,0.006654338,0.001698694,0.01005661,0.8737998,0.03905274,0.06592444],"study_design_scores_gemma":[0.0008837205,0.001878121,0.02930112,0.0008889544,0.0001116928,0.001919394,0.001223688,0.02097835,0.00270344,0.9363779,0.003184601,0.00054906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9466113,0.003370627,0.02445325,0.01340039,0.0009784142,0.0002319754,0.00002190728,0.000103701,0.01082843],"genre_scores_gemma":[0.9887818,0.001239744,0.004241658,0.004565042,0.0004344606,0.000004117044,0.000001611675,0.00003215402,0.0006994774],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06537538,"threshold_uncertainty_score":0.999948,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2322517767","doi":"10.5802/jtnb.527","title":"On sum-sets and product-sets of complex numbers","year":2009,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Mathematics and Applications","field":"Mathematics","cited_by":45,"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":"Mathematics; Combinatorics; Simple (philosophy); Product (mathematics); Geometry","authors":[{"name":"József Solymosi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03916246802355873,"gpt":0.3328821770329701,"spread":0.2937197090094114,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001216378,0.0004160194,0.0007077779,0.0001913413,0.0004454225,0.0002597952,0.0004808618,0.0001808325,0.0002850274],"category_scores_gemma":[0.0007350071,0.0003776838,0.000222834,0.0003057776,0.0002750556,0.0001482068,0.00007454382,0.0006927183,0.00003240038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002333761,"about_ca_system_score_gemma":0.0003506103,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002560375,"about_ca_topic_score_gemma":0.00001760336,"domain_scores_codex":[0.997246,0.0001653249,0.001053034,0.0003319834,0.0004973589,0.0007063062],"domain_scores_gemma":[0.9970956,0.0005751167,0.0008697097,0.0006504066,0.0003497363,0.0004594225],"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":[0.0003845631,0.003730582,0.001530746,0.001976067,0.0005697538,0.0001725954,0.008813648,0.0002144411,0.0100076,0.6966822,0.2374641,0.03845377],"study_design_scores_gemma":[0.001114211,0.0006498648,0.008660307,0.0007685616,0.0003114659,0.001203345,0.0005329141,0.003117475,0.001323891,0.9730449,0.008787888,0.0004851233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9524639,0.001264192,0.004410818,0.004858344,0.0001621448,0.0007379805,0.0001514543,0.00006128072,0.03588993],"genre_scores_gemma":[0.9427382,0.001241742,0.05431463,0.0004332447,0.0002401442,0.00001069033,0.000009124537,0.00005924143,0.0009529479],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2763628,"threshold_uncertainty_score":0.9998675,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1978419161","doi":"10.5802/jtnb.596","title":"Power-free values, large deviations, and integer points on irrational curves","year":2008,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Analytic Number Theory Research","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","funders":"","keywords":"Mathematics; Irrational number; Combinatorics; Multiplicity (mathematics); Degree (music); Number theory; Integer (computer science); Entropy (arrow of time); Discrete mathematics; Mathematical analysis; Geometry; Physics; Quantum mechanics","authors":[{"name":"H. A. Helfgott","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03405817439892197,"gpt":0.3262885257455996,"spread":0.2922303513466777,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004694404,0.0005575182,0.0007375443,0.0004370692,0.001477795,0.0003463555,0.0009717663,0.0003447597,0.00246166],"category_scores_gemma":[0.007915449,0.0005131433,0.0003408956,0.0004890186,0.0006557648,0.0005912742,0.0004215675,0.001914218,0.0002923103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001022252,"about_ca_system_score_gemma":0.001855718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000246053,"about_ca_topic_score_gemma":0.00003496811,"domain_scores_codex":[0.9944622,0.001176112,0.001121442,0.0004854674,0.001408143,0.001346642],"domain_scores_gemma":[0.9948658,0.001943757,0.0005633843,0.0008638996,0.0008755483,0.0008876287],"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":[0.0008302593,0.001711945,0.04280987,0.0008725014,0.001126299,0.001617824,0.005763399,0.00002812084,0.0001464592,0.5220018,0.4227148,0.0003766623],"study_design_scores_gemma":[0.002830758,0.0007283688,0.02672116,0.001858915,0.0002599726,0.007112938,0.001421166,0.00168769,0.0001506305,0.9428096,0.01372304,0.0006957126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8157655,0.03099668,0.0681626,0.02160865,0.001012314,0.001297127,0.0006908365,0.0002214866,0.06024478],"genre_scores_gemma":[0.9359527,0.02998248,0.01044224,0.003183935,0.001147984,0.0000311439,0.0000365074,0.0002224119,0.01900066],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4208078,"threshold_uncertainty_score":0.9998221,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1994857491","doi":"10.5802/jtnb.635","title":"Automatic realizations of Galois groups with cyclic quotient of order <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>p</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:math>","year":2009,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Security Agency","keywords":"Mathematics; Quotient; Cyclic group; Order (exchange); Prime (order theory); Galois group; Group (periodic table); Quotient group; Ring (chemistry); Galois module; Group ring; Pure mathematics; Galois extension; Combinatorics; Algebra over a field; Discrete mathematics","authors":[{"name":"Ján Mináč","is_ca":true},{"name":"Andrew Schultz","is_ca":true},{"name":"John Swallow","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0165942115858215,"gpt":0.2514540419721934,"spread":0.2348598303863719,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001578421,0.0008011598,0.0006799432,0.0005396728,0.001152156,0.0007510177,0.00140493,0.001060807,0.001937197],"category_scores_gemma":[0.001712332,0.00102486,0.001023829,0.001104474,0.0009857777,0.001008797,0.0004750826,0.001396216,0.0002706518],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009384732,"about_ca_system_score_gemma":0.001914414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005955339,"about_ca_topic_score_gemma":0.0004954821,"domain_scores_codex":[0.993014,0.000378043,0.002276487,0.000835074,0.001806209,0.001690128],"domain_scores_gemma":[0.9933872,0.0009598566,0.002707687,0.001598484,0.0005012582,0.0008455702],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0005346332,0.0009934057,0.0001621728,0.00184073,0.001184664,0.0007431713,0.006076722,0.002592701,0.001036143,0.9727281,0.009790249,0.002317274],"study_design_scores_gemma":[0.009088403,0.01065466,0.004415661,0.01117234,0.007531059,0.01688128,0.01350306,0.5766565,0.1604858,0.1800945,0.005140131,0.004376638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.969841,0.001248892,0.007245922,0.0006890207,0.000772387,0.0001169257,0.0001439018,0.0001765203,0.01976543],"genre_scores_gemma":[0.9789607,0.002180997,0.01648017,0.0005635496,0.0009611028,0.0001249358,0.0001405079,0.0003781574,0.0002098834],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7926337,"threshold_uncertainty_score":0.9992202,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2089240617","doi":"10.5802/jtnb.340","title":"Ideal arithmetic and infrastructure in purely cubic function fields","year":2001,"lang":"fr","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Humanities; Mathematics; Combinatorics; Philosophy","authors":[{"name":"Renate Scheidler","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01194910336431988,"gpt":0.2635941061652412,"spread":0.2516450028009213,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001823959,0.0004102109,0.0005413541,0.0003828727,0.0003613629,0.0003211039,0.0003036239,0.0006837825,0.001342205],"category_scores_gemma":[0.0008749292,0.0004085054,0.0001804336,0.0006604737,0.0003327694,0.0005333009,0.0001250545,0.001975108,0.00003785582],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005070399,"about_ca_system_score_gemma":0.0004054397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001112307,"about_ca_topic_score_gemma":0.0001415557,"domain_scores_codex":[0.9970748,0.0005057536,0.0007784897,0.0003085235,0.000336272,0.0009961081],"domain_scores_gemma":[0.9980588,0.0006592181,0.0003451393,0.0002974107,0.0001597593,0.0004797039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.003122617,0.001447142,0.1325979,0.001653305,0.0008619723,0.004423642,0.009933052,0.001691908,0.0006529556,0.3966227,0.02517541,0.4218175],"study_design_scores_gemma":[0.002193595,0.0006771016,0.05317213,0.0004423467,0.0002657372,0.01088254,0.001327668,0.001539785,0.00006748571,0.9025522,0.02648848,0.0003909279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9304573,0.01597546,0.04168623,0.002924173,0.00137758,0.000197522,0.00001227764,0.00004185312,0.007327597],"genre_scores_gemma":[0.9778222,0.00706811,0.00672346,0.0007469159,0.001341354,0.000009067747,0.000004347028,0.0000644888,0.006219991],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5059295,"threshold_uncertainty_score":0.9998367,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2334310968","doi":"10.5802/jtnb.276","title":"Capitulation and transfer kernels","year":2000,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Humanities; Combinatorics; Philosophy","authors":[{"name":"K. W. Gruenberg","is_ca":true},{"name":"A. Weiss","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01632506231688908,"gpt":0.2835056379067152,"spread":0.2671805755898262,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008523104,0.0004431094,0.0005494538,0.0002145441,0.0006015831,0.0003930545,0.0002856994,0.0003617626,0.002784776],"category_scores_gemma":[0.0002281228,0.0004203071,0.0002454884,0.0003636584,0.0002596982,0.000636246,0.00003217087,0.0009762362,0.0001159195],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003508537,"about_ca_system_score_gemma":0.0003232778,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001849453,"about_ca_topic_score_gemma":0.00002914865,"domain_scores_codex":[0.997274,0.0002389967,0.0007830177,0.0003355491,0.0004113171,0.000957115],"domain_scores_gemma":[0.9983252,0.0004108247,0.0001438017,0.0003286268,0.0001745142,0.0006170096],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001874056,0.001432385,0.02640654,0.001794751,0.001310619,0.001843011,0.02445292,0.004213935,0.005110004,0.2010102,0.005038223,0.7255133],"study_design_scores_gemma":[0.002127524,0.0004142656,0.02375888,0.0004534108,0.0004279425,0.003417999,0.0007616244,0.002107354,0.0009399717,0.9511272,0.0137913,0.0006725867],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.952199,0.006511725,0.03275058,0.0006904099,0.0002281968,0.0002247485,0.00004110161,0.00006588708,0.007288342],"genre_scores_gemma":[0.9753141,0.009836992,0.007470139,0.0004072783,0.0009571657,0.000006900009,0.000005754236,0.00009750633,0.005904213],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7501169,"threshold_uncertainty_score":0.9998249,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2088277355","doi":"10.5802/jtnb.706","title":"Ternary quadratic forms with rational zeros","year":2010,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Combinatorics; Number theory; Ternary operation","authors":[{"name":"John Friedlander","is_ca":true},{"name":"Henryk Iwaniec","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02192294179418453,"gpt":0.3170054576093594,"spread":0.2950825158151749,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003662087,0.0006456005,0.0007731012,0.000365161,0.001070252,0.001144207,0.001237913,0.0004699212,0.002831866],"category_scores_gemma":[0.001426602,0.0004912582,0.000387493,0.0005096265,0.0009561185,0.0009082906,0.0002431288,0.003700311,0.0003816916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007090098,"about_ca_system_score_gemma":0.00334619,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006933636,"about_ca_topic_score_gemma":0.0003147096,"domain_scores_codex":[0.9948168,0.0004384026,0.001123906,0.0004703269,0.00145482,0.001695681],"domain_scores_gemma":[0.9950715,0.001315081,0.0007143172,0.0008880818,0.0008200735,0.001190934],"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":[0.003537356,0.002533505,0.1066029,0.001483723,0.002790117,0.005329214,0.007376983,0.0004277304,0.02370313,0.8177082,0.01988277,0.008624354],"study_design_scores_gemma":[0.002921217,0.001086192,0.008024146,0.0005594564,0.0005394038,0.01585391,0.001937471,0.01025746,0.001805478,0.9492499,0.006865152,0.0009001798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9132965,0.0003747637,0.05339439,0.002344217,0.0004453472,0.0005799917,0.00006474725,0.00009664498,0.02940342],"genre_scores_gemma":[0.9443125,0.0002627883,0.03721234,0.0003817947,0.001597515,0.00003666898,0.00001334554,0.0002042634,0.01597879],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1315418,"threshold_uncertainty_score":0.9998927,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3119093170","doi":"10.5802/jtnb.1139","title":"On Selberg’s Central Limit Theorem for Dirichlet <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>L</mml:mi> </mml:math> -functions","year":2021,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Lethbridge; National Science Foundation","keywords":"Mathematics; Central limit theorem; Humanities; Combinatorics; Statistics; Philosophy","authors":[{"name":"Po-Han Hsu","is_ca":false},{"name":"Peng‐Jie Wong","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02767320896262941,"gpt":0.2727296971641076,"spread":0.2450564882014782,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001151628,0.0003328729,0.0002642962,0.0001381329,0.0009808202,0.0004656737,0.0004069736,0.0003879166,0.000231457],"category_scores_gemma":[0.005542757,0.0003689208,0.0006287271,0.0003839988,0.0002452459,0.0003923744,0.0001764967,0.0007834192,0.0002570469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002056158,"about_ca_system_score_gemma":0.001348637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004332745,"about_ca_topic_score_gemma":0.0002291437,"domain_scores_codex":[0.9969859,0.0001952984,0.0007773526,0.0004519986,0.0007057763,0.0008836926],"domain_scores_gemma":[0.995388,0.00265431,0.0004866149,0.0006898536,0.000379632,0.0004015839],"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":[0.0006292896,0.0004667563,0.00005500669,0.0002409429,0.0003862777,0.0001472506,0.0009339082,0.001989859,0.0005431866,0.98359,0.01022355,0.0007939842],"study_design_scores_gemma":[0.002320035,0.001213535,0.0007702137,0.0005392565,0.0008147428,0.002585657,0.002283419,0.2801175,0.005746901,0.6779551,0.02490142,0.0007522935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9648247,0.0002362458,0.02139668,0.001580422,0.001092499,0.0001029159,0.0002231604,0.000138611,0.0104048],"genre_scores_gemma":[0.9780645,0.0002363603,0.01810859,0.000785618,0.001181943,0.0001867585,0.0001452466,0.000158721,0.001132279],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3056349,"threshold_uncertainty_score":0.9998763,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2969519964","doi":"10.5802/jtnb.1070","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>F</mml:mi> </mml:math> -sets and finite automata","year":2019,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"semigroups and automata theory","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Subvariety; Mathematics; Commutative property; Endomorphism; Algebraic group; Natural number; Context (archaeology); Abelian group; Algebraic number; Discrete mathematics; Action (physics); Invariant (physics); Pure mathematics; Algebra over a field; Mathematical analysis; Variety (cybernetics)","authors":[{"name":"Jason P. Bell","is_ca":false},{"name":"Rahim Moosa","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01246956994955565,"gpt":0.2395844554332933,"spread":0.2271148854837377,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.00128476,0.0002999425,0.0002321666,0.0001599464,0.0005123307,0.001092604,0.001240672,0.0002991079,0.00006105479],"category_scores_gemma":[0.0002658178,0.000320947,0.0002594269,0.0003002674,0.0002087894,0.001075606,0.0007158798,0.0006392866,0.0005546667],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000430564,"about_ca_system_score_gemma":0.0004958003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007284163,"about_ca_topic_score_gemma":0.00001869596,"domain_scores_codex":[0.9974985,0.0001392851,0.0005160584,0.0004698274,0.0005571661,0.0008191517],"domain_scores_gemma":[0.9977111,0.0005287395,0.0004384287,0.0008448262,0.00007875812,0.0003981158],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006655733,0.00007496675,0.0002121545,0.0001162597,0.0001129153,0.0004872182,0.0009833799,0.0003234709,0.0008841864,0.986188,0.001553425,0.008997496],"study_design_scores_gemma":[0.0008866499,0.0005213306,0.002798995,0.0003681261,0.000080543,0.003618569,0.0002887291,0.9350343,0.002341575,0.04434307,0.009244908,0.0004731987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9824772,0.0008823188,0.01055988,0.0005608546,0.0008070854,0.0000434908,0.00002312154,0.0002214133,0.004424582],"genre_scores_gemma":[0.9834114,0.0006851016,0.01401605,0.001226246,0.0003727283,0.00002325277,0.00001238907,0.00006991997,0.0001828648],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9418449,"threshold_uncertainty_score":0.9999443,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963464031","doi":"10.5802/jtnb.878","title":"An explicit computation of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> -stabilized vectors","year":2015,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Lift (data mining); Mathematics; Computation; Space (punctuation); Algebra over a field; Pure mathematics; Algorithm; Computer science","authors":[{"name":"Michitaka Miyauchi","is_ca":true},{"name":"Takuya Yamauchi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03215746849299062,"gpt":0.3003421737897167,"spread":0.2681847052967261,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001134149,0.0002751796,0.000303388,0.0001865151,0.0002989375,0.0001915735,0.0004428347,0.0003055514,0.00003840032],"category_scores_gemma":[0.001143781,0.0003005614,0.0002968099,0.0003657716,0.0001892343,0.0006031199,0.0001428361,0.0005405131,0.00007824605],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008002014,"about_ca_system_score_gemma":0.0005512393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000369984,"about_ca_topic_score_gemma":0.00004624171,"domain_scores_codex":[0.9975976,0.0001558988,0.0007323645,0.0002901705,0.0006302914,0.0005936745],"domain_scores_gemma":[0.9975971,0.0005082341,0.0007374027,0.0004610168,0.0002429156,0.000453356],"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":[0.0003271082,0.0002483131,0.0002026648,0.0002404376,0.0001543448,0.000143452,0.002376502,0.00195949,0.001981647,0.990045,0.000566291,0.001754772],"study_design_scores_gemma":[0.002613994,0.00171057,0.000793931,0.0005641825,0.0004286717,0.001598225,0.005692096,0.3468003,0.01924207,0.6184912,0.001339463,0.0007252679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9700103,0.0003586645,0.0273569,0.0001094917,0.0003961342,0.00005436907,0.00002281272,0.000103376,0.001588],"genre_scores_gemma":[0.9771523,0.0001282873,0.02190272,0.0001634763,0.0004550726,0.00003000772,0.0000233488,0.0001036733,0.00004114454],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3715537,"threshold_uncertainty_score":0.9999446,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963230569","doi":"10.5802/jtnb.1023","title":"On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application","year":2018,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":9,"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":"Mathematics; Duality (order theory); Bernoulli polynomials; Bernoulli's principle; Bernoulli number; Pure mathematics; Difference polynomials; Combinatorics; Orthogonal polynomials; Physics","authors":[{"name":"Masanobu Kaneko","is_ca":true},{"name":"Fumi Sakurai","is_ca":false},{"name":"Hirofumi Tsumura","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04135881162851571,"gpt":0.3688868947491092,"spread":0.3275280831205934,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001242428,0.0001828783,0.0004853975,0.0001290106,0.0001675137,0.0000399789,0.0002278185,0.00012229,0.00002691027],"category_scores_gemma":[0.002625692,0.000158034,0.0001457682,0.0001115458,0.0002586425,0.000214743,0.00006471796,0.0001484381,0.000002543314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001454073,"about_ca_system_score_gemma":0.000132845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002132871,"about_ca_topic_score_gemma":0.00002443777,"domain_scores_codex":[0.9984015,0.00009587591,0.0007309408,0.0001624775,0.0002575924,0.000351657],"domain_scores_gemma":[0.9969672,0.00152087,0.0006569757,0.000259635,0.0004452118,0.0001501296],"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":[0.000597939,0.0002871046,0.0004648327,0.001310485,0.0001657162,0.000002490443,0.002497713,0.000009195205,0.03802637,0.9530004,0.001024537,0.002613227],"study_design_scores_gemma":[0.0006783571,0.000440857,0.0004595933,0.0002035296,0.0001014631,0.0000592398,0.0003735787,0.001030372,0.09688391,0.8994867,0.0001469822,0.0001354816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8485662,0.0005138938,0.1483362,0.0001920195,0.00006455826,0.0004773469,0.00006877616,0.00002944705,0.001751494],"genre_scores_gemma":[0.9516855,0.0001292053,0.04716063,0.00004615817,0.0002220109,0.00003420003,0.000001981316,0.00004116341,0.0006791448],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1031193,"threshold_uncertainty_score":0.644444,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2163344799","doi":"10.5802/jtnb.443","title":"Normal integral bases for Emma Lehmer’s parametric family of cyclic quintics","year":2008,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number 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":"Carleton University","funders":"","keywords":"Mathematics; Parametric statistics; Pure mathematics; Combinatorics; Algebra over a field; Statistics","authors":[{"name":"Blair K. Spearman","is_ca":true},{"name":"Kenneth S. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05809181861812792,"gpt":0.3178227366385463,"spread":0.2597309180204184,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001421553,0.0003165784,0.0006051744,0.0004701865,0.0004203733,0.00005639598,0.000536921,0.0002189176,0.0001216546],"category_scores_gemma":[0.003659338,0.0002767893,0.0004716875,0.0006992625,0.0003776581,0.0003095203,0.00008756746,0.0005999555,0.00001351134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000227772,"about_ca_system_score_gemma":0.0004696728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003867555,"about_ca_topic_score_gemma":0.000007282601,"domain_scores_codex":[0.9975564,0.0002099384,0.0008470615,0.0002148497,0.0004009173,0.0007708341],"domain_scores_gemma":[0.9962276,0.002143564,0.0005268873,0.0003622593,0.0004095969,0.0003301135],"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":[0.005719771,0.004733304,0.2104697,0.002713135,0.002581608,0.001498562,0.01110304,0.0008214075,0.01109391,0.5744153,0.1330553,0.04179495],"study_design_scores_gemma":[0.002189845,0.001065693,0.0239717,0.0002390816,0.0003396351,0.003577646,0.001955079,0.0007339171,0.01037318,0.9487981,0.006162287,0.0005938685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9327697,0.0007270985,0.06168744,0.0001740799,0.0003665808,0.0002187154,0.00003505733,0.00006020358,0.00396114],"genre_scores_gemma":[0.9474294,0.0004658735,0.05015289,0.0002665651,0.0004425215,0.00001797776,0.000005413156,0.00006161079,0.001157785],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3743827,"threshold_uncertainty_score":0.9999684,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963813950","doi":"10.5802/jtnb.1030","title":"An infinitesimal <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> -adic multiplicative Manin–Mumford Conjecture","year":2018,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Multiplicative function; Formal group; Infinitesimal; Conjecture; Multiplicative group; Pure mathematics; Unit (ring theory); Torus; Class (philosophy); Root of unity; Rigidity (electromagnetism); Combinatorics; Mathematical analysis","authors":[{"name":"Vlad Serban","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02005743489250159,"gpt":0.2742251507962418,"spread":0.2541677159037402,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002747168,0.0008043943,0.0006016706,0.0003374275,0.001686813,0.0009001115,0.001486323,0.001246828,0.000790818],"category_scores_gemma":[0.001869169,0.0008960954,0.0007568701,0.0006822681,0.001429593,0.0009356021,0.0005353473,0.002156103,0.001610764],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001517813,"about_ca_system_score_gemma":0.001278433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001241227,"about_ca_topic_score_gemma":0.0001186755,"domain_scores_codex":[0.9946721,0.0005640066,0.001334806,0.0007829945,0.0009506659,0.001695423],"domain_scores_gemma":[0.994129,0.00158229,0.001547772,0.001349214,0.0003879408,0.001003788],"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":[0.001203996,0.0005908649,0.0002552745,0.0005705095,0.0009473515,0.0008271622,0.009433867,0.000114786,0.001637007,0.9792172,0.002333664,0.002868304],"study_design_scores_gemma":[0.005646478,0.007800191,0.002331418,0.002479922,0.00274041,0.01575953,0.01472286,0.2901254,0.03497532,0.592773,0.02776309,0.002882372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9790228,0.000920585,0.00708934,0.0004224177,0.0009436242,0.0001437481,0.0001595686,0.0001970298,0.01110088],"genre_scores_gemma":[0.9825697,0.0006418805,0.01145072,0.001311858,0.003095323,0.00008581881,0.00006392612,0.0002948101,0.0004859664],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3864442,"threshold_uncertainty_score":0.9996129,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2999271008","doi":"10.5802/jtnb.1115","title":"Numerical verification of the Cohen–Lenstra–Martinet heuristics and of Greenberg’s <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> -rationality conjecture","year":2020,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Polynomial and algebraic computation","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":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Conjecture; Heuristics; Rationality; Mathematics; Heuristic; Field (mathematics); Combinatorics; Mathematical economics; Pure mathematics; Epistemology; Mathematical optimization; Philosophy","authors":[{"name":"Razvan Barbulescu","is_ca":false},{"name":"Jishnu Ray","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01596823401961374,"gpt":0.2365076943428319,"spread":0.2205394603232181,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003771885,0.000122012,0.0001295551,0.00002995502,0.0002177294,0.0001410138,0.0004419204,0.0001185233,0.000008271595],"category_scores_gemma":[0.0003410147,0.0001152043,0.0001358512,0.000221855,0.0001987146,0.0002279701,0.0001676358,0.0002968536,0.000008318391],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001667246,"about_ca_system_score_gemma":0.0004459449,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007299177,"about_ca_topic_score_gemma":0.00001227658,"domain_scores_codex":[0.9987009,0.0001088041,0.0004237768,0.00019607,0.0003507046,0.0002197948],"domain_scores_gemma":[0.9988104,0.0002235465,0.0004785835,0.000233265,0.0000982782,0.0001559757],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00007279721,0.00004540002,0.0003343975,0.00008963076,0.00005562967,0.00001964705,0.001018023,0.002183189,0.001728596,0.9899681,0.0005825345,0.003902041],"study_design_scores_gemma":[0.000408357,0.0003234139,0.01762169,0.00008633537,0.00006599929,0.0003806257,0.00008254879,0.9485121,0.008598464,0.02257711,0.001186679,0.0001566298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9277034,0.0001769499,0.06958609,0.001938051,0.0002141777,0.00002820204,0.00002212092,0.0000250516,0.0003059744],"genre_scores_gemma":[0.9925473,0.00006248568,0.006575895,0.0005189275,0.0002590096,0.000005977033,0.000008039875,0.00001351773,0.00000883856],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.967391,"threshold_uncertainty_score":0.4697894,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2939197469","doi":"10.5802/jtnb.1051","title":"Newton–Okounkov bodies: an approach of function field arithmetic","year":2019,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Mathematical Dynamics and Fractals","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":"Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Mathematics; Variety (cybernetics); Projective variety; Field (mathematics); Lebesgue measure; Measure (data warehouse); Pure mathematics; Lebesgue integration; Point (geometry); Series (stratigraphy); Regular polygon; Function (biology); Function field; Mathematical analysis; Geometry","authors":[{"name":"Huayi Chen","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02419890241487406,"gpt":0.2989649313404695,"spread":0.2747660289255955,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001178332,0.0002237841,0.0004773268,0.0001481189,0.0001258584,0.0001406679,0.0003520594,0.0002072749,0.0004383831],"category_scores_gemma":[0.0006589846,0.000183973,0.000217013,0.0001440049,0.00007320747,0.0002998596,0.00006545457,0.000516562,0.00002038806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001301001,"about_ca_system_score_gemma":0.0001685071,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002886481,"about_ca_topic_score_gemma":0.000009251231,"domain_scores_codex":[0.9981928,0.0001375806,0.0006326212,0.0002036722,0.0003671946,0.0004660658],"domain_scores_gemma":[0.9980907,0.0006108633,0.0003789268,0.0004377165,0.0002204133,0.0002613562],"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":[0.0005101032,0.001634377,0.01106958,0.001901341,0.0004358692,0.00004291055,0.002816658,0.0004542127,0.004423403,0.958567,0.00455389,0.01359062],"study_design_scores_gemma":[0.0006279663,0.0007242691,0.001623796,0.0001453046,0.0001438795,0.0003595161,0.0007940765,0.02853583,0.0002447239,0.9646806,0.001859844,0.0002602439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6308187,0.0002006748,0.3165599,0.0002466916,0.0002522249,0.000270577,0.00001038725,0.00005751326,0.05158337],"genre_scores_gemma":[0.9083381,0.0001354604,0.08806732,0.0002661738,0.0002609252,0.00001133622,0.000005459361,0.00005777303,0.002857495],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2775194,"threshold_uncertainty_score":0.75022,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2070562095","doi":"10.5802/jtnb.334","title":"Groupe des unités pour des extensions diédrales complexes de degré <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mn>10</mml:mn> </mml:math> sur <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>Q</mml:mi> </mml:math>","year":2001,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Combinatorics; Humanities; Unit (ring theory); Philosophy; Mathematics education","authors":[{"name":"Omar Kihel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03302265714362123,"gpt":0.2692649487264979,"spread":0.2362422915828766,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity"],"category_scores_codex":[0.005824525,0.002144706,0.001494572,0.0008770894,0.005026229,0.00246846,0.003158252,0.002661112,0.0008411512],"category_scores_gemma":[0.005473655,0.002542327,0.002640103,0.001807731,0.003288188,0.002726757,0.002093597,0.00393084,0.003578752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003495779,"about_ca_system_score_gemma":0.003124208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001012495,"about_ca_topic_score_gemma":0.001104403,"domain_scores_codex":[0.986247,0.001279829,0.003445575,0.001920985,0.002611255,0.004495375],"domain_scores_gemma":[0.9861628,0.004712804,0.003108812,0.002875525,0.0008522318,0.002287835],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001963233,0.001692091,0.0003082319,0.002297143,0.002417154,0.005474552,0.006482198,0.001043346,0.003734651,0.9676772,0.00401698,0.002893202],"study_design_scores_gemma":[0.004859559,0.003124771,0.002278441,0.006535181,0.004901245,0.03451824,0.01571584,0.7290149,0.01423889,0.1627109,0.01807326,0.004028799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9769681,0.005533251,0.006983183,0.0006855394,0.001693956,0.0002509796,0.000539445,0.0007173246,0.006628226],"genre_scores_gemma":[0.9634119,0.007481406,0.0214702,0.001414936,0.002816572,0.000381289,0.0004148353,0.00101762,0.001591225],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8049663,"threshold_uncertainty_score":0.9994243,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4318225159","doi":"10.5802/jtnb.1231","title":"Control Theorems for Fine Selmer Groups","year":2023,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Central China Normal University; National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Mathematics; Kernel (algebra); Extension (predicate logic); Commutative property; Pure mathematics; Group (periodic table)","authors":[{"name":"Debanjana Kundu","is_ca":false},{"name":"Meng Fai Lim","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0221350497233987,"gpt":0.2943064804335694,"spread":0.2721714307101707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0065507,0.0006801631,0.00102586,0.0004911853,0.001128213,0.000498976,0.0009510149,0.0005697703,0.0009755341],"category_scores_gemma":[0.003584663,0.000610935,0.0008633416,0.00100314,0.000443151,0.0004133759,0.0001632934,0.001278451,0.0005134188],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000505915,"about_ca_system_score_gemma":0.0007035035,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001667698,"about_ca_topic_score_gemma":0.00001716311,"domain_scores_codex":[0.9950189,0.0006693359,0.001226512,0.0004809287,0.000601334,0.002002961],"domain_scores_gemma":[0.9927624,0.004526449,0.0007468013,0.0006640708,0.0005253818,0.000774845],"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":[0.003062584,0.0007556663,0.005282114,0.001507291,0.002313733,0.0008773274,0.005685562,0.000627692,0.002796904,0.8757481,0.08757941,0.01376365],"study_design_scores_gemma":[0.004674296,0.0007028627,0.002576368,0.0004032156,0.0007927211,0.001457136,0.001706379,0.004327281,0.0009352362,0.9599494,0.0217677,0.0007073582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8443428,0.002643339,0.1358223,0.004146948,0.002638805,0.001232068,0.0004961727,0.0004366238,0.008240946],"genre_scores_gemma":[0.9793528,0.0007726094,0.004598481,0.0008345097,0.003451533,0.0000942053,0.00003242323,0.0002377457,0.01062574],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.13501,"threshold_uncertainty_score":0.9999377,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2996109950","doi":"10.5802/jtnb.1187","title":"Perfectoid Drinfeld Modular Forms","year":2022,"lang":"fr","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University; Statistics Canada","funders":"","keywords":"Modular design; Mathematics; Computer science; Programming language","authors":[{"name":"Marc-Hubert Nicole","is_ca":false},{"name":"Giovanni Rosso","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02108993497808274,"gpt":0.3051044797694605,"spread":0.2840145447913778,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002893224,0.001248784,0.001579925,0.0006450415,0.001350092,0.0007060782,0.001963528,0.000926297,0.009835074],"category_scores_gemma":[0.001873964,0.001233297,0.001465978,0.0007623991,0.0004574686,0.000660491,0.002022611,0.007079304,0.0003579209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003799617,"about_ca_system_score_gemma":0.001921314,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004607977,"about_ca_topic_score_gemma":0.00005942379,"domain_scores_codex":[0.9929927,0.0006759652,0.0017903,0.0009067424,0.001254759,0.002379552],"domain_scores_gemma":[0.9942479,0.001075459,0.001479397,0.001471993,0.0005106719,0.001214565],"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":[0.0008870724,0.002486662,0.03124407,0.004158475,0.003021772,0.00596296,0.009001384,0.09202213,0.002408688,0.7888758,0.01220927,0.04772167],"study_design_scores_gemma":[0.001239041,0.0005928567,0.006093913,0.0006301895,0.0005717151,0.005186223,0.002208956,0.003061667,0.000584714,0.8698749,0.1086884,0.00126742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8096187,0.01235184,0.1322619,0.002130724,0.003239294,0.0007598466,0.0002302819,0.0001916726,0.03921584],"genre_scores_gemma":[0.8155158,0.01946061,0.1011926,0.00130477,0.004720515,0.0001627097,0.0001124098,0.0006807595,0.05684982],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09647912,"threshold_uncertainty_score":0.99995,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3089252635","doi":"10.5802/jtnb.1185","title":"Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math>","year":2022,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Prime (order theory); Elliptic curve; Algebraic number field; Prime number; Pure mathematics; Series (stratigraphy); Euler's formula; Reduction (mathematics); Arithmetic; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Antonio Lei","is_ca":true},{"name":"Meng Fai Lim","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01199401617407755,"gpt":0.2302878808679102,"spread":0.2182938646938327,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001887314,0.0004224002,0.0005341373,0.0001692121,0.0008850364,0.00017665,0.0004563554,0.0003105304,0.0004306186],"category_scores_gemma":[0.000580449,0.0004674974,0.0003039394,0.000436376,0.0007285001,0.0005602271,0.000467155,0.0008751372,0.00002794581],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001099166,"about_ca_system_score_gemma":0.0007187764,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000467721,"about_ca_topic_score_gemma":0.00001054522,"domain_scores_codex":[0.9966543,0.0003560182,0.001062238,0.0003979232,0.0008156281,0.0007139431],"domain_scores_gemma":[0.9965398,0.0006683799,0.001724924,0.0005429668,0.0002278294,0.0002961104],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.002620971,0.0004572972,0.000405981,0.003822507,0.000980731,0.0002463586,0.005720569,0.0001879645,0.01174912,0.9726105,0.0009227705,0.0002752403],"study_design_scores_gemma":[0.01121667,0.02242169,0.01232258,0.01603093,0.01440645,0.07480679,0.07102401,0.1215371,0.3692007,0.2658434,0.01496168,0.006227911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9942404,0.002869475,0.0007071529,0.0001967527,0.0004754341,0.00009934032,0.0001925416,0.00004587972,0.001173034],"genre_scores_gemma":[0.9926559,0.002758166,0.002820182,0.0001127769,0.000406111,0.00005575754,0.00006166966,0.0001437312,0.0009857409],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7067671,"threshold_uncertainty_score":0.9997777,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2328905583","doi":"10.5802/jtnb.793","title":"Connected abelian complex Lie groups and number fields","year":2012,"lang":"fr","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Abelian group; Lie group; Pure mathematics; Algebraic number field; Simple Lie group; Dimension (graph theory); Combinatorics","authors":[{"name":"Daniel Vallières","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03142095385581741,"gpt":0.3004017369968244,"spread":0.268980783141007,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00248539,0.0005202534,0.0006820172,0.000157594,0.0007442567,0.0003527036,0.0004232994,0.0006298535,0.006678441],"category_scores_gemma":[0.001193076,0.0005135076,0.0002728013,0.0004420765,0.0006013424,0.0007947329,0.0002185495,0.001478344,0.0003890877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003952642,"about_ca_system_score_gemma":0.0002613959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008711129,"about_ca_topic_score_gemma":0.00003280285,"domain_scores_codex":[0.9961083,0.0007338677,0.000814696,0.000270936,0.000381064,0.00169114],"domain_scores_gemma":[0.996105,0.001515217,0.000453606,0.0004284208,0.0002609378,0.001236873],"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":[0.0004291569,0.001287356,0.1114016,0.0011971,0.001023226,0.0004388547,0.01210957,0.00001362917,0.0005812469,0.7758834,0.07039121,0.0252437],"study_design_scores_gemma":[0.001622506,0.0002433438,0.04637829,0.0004496215,0.0005401412,0.01344677,0.002517762,0.0002800995,0.0003928599,0.8507357,0.08266737,0.0007255928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9343947,0.01298667,0.01520124,0.004077051,0.001991845,0.0002342344,0.00005482101,0.00009840974,0.03096106],"genre_scores_gemma":[0.9649318,0.002729733,0.0175577,0.001382127,0.003026904,0.000009522348,0.00001047572,0.0001025885,0.01024907],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07485224,"threshold_uncertainty_score":0.9997317,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2002710427","doi":"10.5802/jtnb.476","title":"A contribution to infinite disjoint covering systems","year":2008,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"semigroups and automata theory","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"PQ Corporation (Canada)","funders":"","keywords":"Mathematics; Combinatorics; Disjoint sets; Conjecture","authors":[{"name":"János Barát","is_ca":true},{"name":"Péter P. Varjú","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01683977683229061,"gpt":0.250320444852009,"spread":0.2334806680197185,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.002222209,0.0004973667,0.0006869124,0.0003819379,0.001283994,0.001430249,0.00136247,0.00026697,0.00004371508],"category_scores_gemma":[0.0008072333,0.0004744325,0.0003345664,0.0008666682,0.0002233239,0.001111502,0.0005164606,0.0009339466,0.0002411475],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001423315,"about_ca_system_score_gemma":0.001132786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002331969,"about_ca_topic_score_gemma":0.00001084386,"domain_scores_codex":[0.9956255,0.0005518944,0.001027577,0.0005268009,0.0007293944,0.00153885],"domain_scores_gemma":[0.9965644,0.0004164572,0.0005441508,0.0007176601,0.000623923,0.001133442],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001650171,0.001575736,0.05702502,0.0008665644,0.00144093,0.01929088,0.03281268,0.08846393,0.03149375,0.6799853,0.03618649,0.04920855],"study_design_scores_gemma":[0.006447509,0.003549868,0.1759724,0.004683644,0.0003550582,0.08039106,0.001598567,0.4201532,0.004536518,0.1008081,0.1978195,0.003684644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5441867,0.004293048,0.4471383,0.000882635,0.0019255,0.0002937832,0.00004546396,0.0001538934,0.001080745],"genre_scores_gemma":[0.9897403,0.001857037,0.00518789,0.001059241,0.001436749,0.00002320831,0.000005278135,0.00005315268,0.0006371661],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5791773,"threshold_uncertainty_score":0.9997708,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2970190003","doi":"10.5802/jtnb.1127","title":"A transference principle for simultaneous rational approximation","year":2020,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Sequence (biology); Irrationality; Boundary (topology); Integer (computer science); Diophantine approximation; Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Rationality; Computer science; Law","authors":[{"name":"Ngoc Ai Van Nguyen","is_ca":false},{"name":"Anthony Poëls","is_ca":false},{"name":"Damien Roy","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02003434726647443,"gpt":0.2945277029827765,"spread":0.2744933557163021,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003148081,0.0004036156,0.0005447362,0.0001582272,0.000180085,0.000235433,0.0005294809,0.0003306647,0.0000393509],"category_scores_gemma":[0.0005431386,0.0004070983,0.0003835651,0.0002088477,0.00007429107,0.0001849095,0.00009382766,0.001231644,0.000005673125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008206349,"about_ca_system_score_gemma":0.0003188564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005182103,"about_ca_topic_score_gemma":0.000009225828,"domain_scores_codex":[0.9981183,0.00006811788,0.0006687619,0.0003217491,0.0003172016,0.0005058454],"domain_scores_gemma":[0.998617,0.0003421572,0.0001736729,0.0002544261,0.0002948208,0.0003179527],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001737187,0.00007552005,0.0001245673,0.0009073635,0.0003853685,0.00008712283,0.0006270719,0.952774,0.009936106,0.005414836,0.0008535128,0.02864074],"study_design_scores_gemma":[0.0002593542,0.0001064701,0.0001085433,0.0001361676,0.0001461862,0.0001065741,0.00002677241,0.6721313,0.004555964,0.3137632,0.008246453,0.0004130095],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01613431,0.0006352239,0.9807047,0.0004723575,0.0001606086,0.0004782262,0.0001251281,0.0005764022,0.0007130622],"genre_scores_gemma":[0.7060344,0.000896182,0.2919456,0.0001255079,0.0005597649,0.0001832137,0.0001001642,0.00009054974,0.00006457781],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6899002,"threshold_uncertainty_score":0.9998381,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2938226574","doi":"10.5802/jtnb.1061","title":"Cubic polynomials defining monogenic fields with the same discriminant","year":2019,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"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, Okanagan Campus; University of British Columbia","funders":"","keywords":"Discriminant; Mathematics; Algebraic number field; Field (mathematics); Ring of integers; Ring (chemistry); Number theory; Combinatorics; Finite field; Linear discriminant analysis; Pure mathematics; Discrete mathematics; Statistics; Artificial intelligence; Computer science","authors":[{"name":"Chad Tyler Davis","is_ca":true},{"name":"Blair K. Spearman","is_ca":true},{"name":"Jeewon Yoo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01598907036322367,"gpt":0.2680506608294788,"spread":0.2520615904662551,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002596386,0.0006673946,0.001111422,0.0004645668,0.0009456339,0.0007481226,0.001185843,0.0004437046,0.001441003],"category_scores_gemma":[0.0007781038,0.0004122707,0.0007579275,0.00131629,0.0003559266,0.0004084221,0.0002724302,0.001726052,0.0004736594],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006896466,"about_ca_system_score_gemma":0.001319398,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000404898,"about_ca_topic_score_gemma":0.0002567444,"domain_scores_codex":[0.995549,0.0005219872,0.001055787,0.0004946438,0.0008481181,0.00153053],"domain_scores_gemma":[0.9950575,0.001955883,0.00111342,0.0009847656,0.0003484055,0.0005400302],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.005231979,0.002658403,0.3056166,0.002847634,0.02017552,0.002907838,0.07272096,0.0103962,0.001631687,0.304591,0.1608318,0.1103903],"study_design_scores_gemma":[0.01093564,0.006751388,0.07831816,0.003135464,0.01885665,0.01401866,0.07847244,0.018404,0.001791963,0.7086193,0.05522928,0.00546709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9346157,0.01158309,0.03880404,0.005351624,0.0004368029,0.0005075672,0.00003558767,0.00005724517,0.008608308],"genre_scores_gemma":[0.9737427,0.002726565,0.005864528,0.001146244,0.0006853411,0.00002097386,0.000006770842,0.0001243679,0.01568257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4040283,"threshold_uncertainty_score":0.9998329,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2055805875","doi":"10.5802/jtnb.663","title":"Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values","year":2009,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"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":"Mathematics; Fibonacci number; Reciprocal; Number theory; Euler's formula; Riemann zeta function; Fibonacci polynomials; Analytic number theory; Combinatorics; Pure mathematics; Mathematical analysis; Orthogonal polynomials","authors":[{"name":"Carsten Elsner","is_ca":false},{"name":"Shun Shimomura","is_ca":true},{"name":"Iekata Shiokawa","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05054161291923669,"gpt":0.3815841938274067,"spread":0.33104258090817,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009131694,0.0002700278,0.0004635716,0.0001538844,0.0005694643,0.0003198616,0.0002852448,0.000146502,0.00002797907],"category_scores_gemma":[0.005586846,0.0002406221,0.0002606415,0.0001306258,0.0001428722,0.0006027403,0.00005247644,0.0002702145,0.000003112832],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000257616,"about_ca_system_score_gemma":0.0001794371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003602462,"about_ca_topic_score_gemma":0.00001712721,"domain_scores_codex":[0.9980333,0.00006544671,0.0006783116,0.0002684075,0.0002649024,0.0006895831],"domain_scores_gemma":[0.9959151,0.002783578,0.0003133878,0.0002973682,0.0003874716,0.0003031143],"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":[0.0004913697,0.0004256088,0.0005574097,0.0007973393,0.0002470498,0.00003409652,0.002575774,0.0002242833,0.001769661,0.956157,0.02762213,0.0090983],"study_design_scores_gemma":[0.001259904,0.0004909312,0.001022925,0.0001874605,0.0002297793,0.000496277,0.0006964168,0.003882066,0.001341046,0.9884369,0.001679018,0.000277277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1564163,0.0008539718,0.8349062,0.002064489,0.0002732647,0.001163647,0.00006424185,0.0001699074,0.004088009],"genre_scores_gemma":[0.2836598,0.0005186383,0.7067044,0.0003510095,0.0008834483,0.0001744235,0.0000148169,0.0001113399,0.007582104],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1282017,"threshold_uncertainty_score":0.9812283,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3005704136","doi":"10.5802/jtnb.1135","title":"The upper density of an automatic set is rational","year":2020,"lang":"fr","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Natural density; Natural number; Upper and lower bounds; Rational number; Mathematics; Set (abstract data type); Combinatorics; BETA (programming language); Alpha (finance); Discrete mathematics; Natural (archaeology); Computer science; Statistics; Mathematical analysis","authors":[{"name":"Jason P. Bell","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02840239506345656,"gpt":0.2867220647542983,"spread":0.2583196696908417,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.003370074,0.0005901338,0.0007561171,0.0001354438,0.001266585,0.001788334,0.003306198,0.0004288207,0.0002578614],"category_scores_gemma":[0.0006516744,0.0004665472,0.0006112462,0.0004343259,0.0007177048,0.0009059208,0.001365178,0.001904728,0.00007947762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005859662,"about_ca_system_score_gemma":0.003127205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001858706,"about_ca_topic_score_gemma":0.00004780817,"domain_scores_codex":[0.994768,0.001285095,0.001302292,0.0006535413,0.0009979461,0.0009931147],"domain_scores_gemma":[0.9950569,0.001011331,0.001226344,0.001193018,0.0007451332,0.0007672909],"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":[0.0002676615,0.0005089186,0.01079597,0.0006476304,0.001099295,0.0009623051,0.02204507,0.00382136,0.003524573,0.768795,0.0228446,0.1646876],"study_design_scores_gemma":[0.0003898515,0.0002544249,0.07455131,0.0003549486,0.0001284375,0.002408013,0.0004179253,0.3601024,0.001453868,0.5503436,0.009186693,0.0004085734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7322035,0.003353703,0.2361673,0.02368177,0.002434956,0.0003892473,0.0001400188,0.0001634808,0.001466026],"genre_scores_gemma":[0.8892696,0.001909661,0.1022661,0.003423937,0.001831356,0.00002371219,0.00002834766,0.00008294064,0.001164354],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.356281,"threshold_uncertainty_score":0.9997786,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2010241846","doi":"10.5802/jtnb.781","title":"The Mordell–Lang question for endomorphisms of semiabelian varieties","year":2011,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"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; National Science Foundation","keywords":"Subvariety; Endomorphism; Mathematics; Variety (cybernetics); Conjecture; Abelian variety; Pure mathematics; Intersection (aeronautics); Intersection homology; Coset; Semigroup; Algebraic group; Combinatorics; Algebraic number; Abelian group","authors":[{"name":"Dragos Ghioca","is_ca":true},{"name":"Thomas J. Tucker","is_ca":false},{"name":"Michael E. Zieve","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03979043291521313,"gpt":0.3139896902991192,"spread":0.2741992573839061,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004692005,0.0004394939,0.00068275,0.0002463439,0.000614362,0.0002003023,0.001004364,0.0005581464,0.00009407255],"category_scores_gemma":[0.002410281,0.0003273709,0.0005322338,0.0001891236,0.0004536007,0.0001261308,0.0003735435,0.001405219,0.000006231782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003268589,"about_ca_system_score_gemma":0.0007550312,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007303964,"about_ca_topic_score_gemma":0.00002536842,"domain_scores_codex":[0.9971257,0.0005025215,0.0009757745,0.0002919308,0.0003854161,0.0007186562],"domain_scores_gemma":[0.9950267,0.002158921,0.001239317,0.0006975142,0.0006393114,0.000238229],"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":[0.00140281,0.0002801189,0.0008628769,0.001491903,0.0009752135,0.00004972699,0.004355771,0.0002240695,0.0006218521,0.9704415,0.01360093,0.005693227],"study_design_scores_gemma":[0.0005939728,0.0002132529,0.0003024622,0.0004689157,0.0004120624,0.0003929272,0.0007721185,0.0002399668,0.003563703,0.986704,0.005995805,0.0003408387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5017505,0.009577883,0.4590787,0.001090369,0.003595685,0.001703763,0.0002397556,0.000251733,0.02271153],"genre_scores_gemma":[0.9154571,0.004057774,0.071394,0.0001582072,0.001510662,0.000188305,0.00003072081,0.0001902614,0.007012962],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4137065,"threshold_uncertainty_score":0.9999178,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4226153802","doi":"10.5802/jtnb.1243","title":"Spherical Heron triangles and elliptic curves","year":2023,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Isosceles triangle; Heron; Spherical trigonometry; Mathematics; Elliptic curve; Geometry; Pure mathematics; Mathematical analysis; Combinatorics; Geology","authors":[{"name":"Tinghao Huang","is_ca":false},{"name":"Matilde Laĺın","is_ca":false},{"name":"Olivier Mila","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1023805048805844,"gpt":0.3850308342130653,"spread":0.2826503293324809,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.004258504,0.000533526,0.001001716,0.0002271577,0.0003321719,0.0005340564,0.0009366197,0.0005201339,0.0004092321],"category_scores_gemma":[0.00390175,0.0004699851,0.0004145775,0.0003014501,0.0004762412,0.0001469305,0.001069622,0.002867483,0.00009267055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007762794,"about_ca_system_score_gemma":0.001133888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008741202,"about_ca_topic_score_gemma":0.00006340977,"domain_scores_codex":[0.9957322,0.0008926141,0.0009220841,0.000526878,0.0008290937,0.001097151],"domain_scores_gemma":[0.9956474,0.002064174,0.0005182878,0.0007136423,0.0003349427,0.0007215706],"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":[0.003541528,0.002508021,0.06571954,0.03828717,0.008819519,0.01421992,0.0102519,0.001361498,0.001451606,0.2348089,0.575712,0.04331835],"study_design_scores_gemma":[0.0006832557,0.000161976,0.002179028,0.002239441,0.0004113865,0.001127906,0.0005854243,0.00187508,0.00008138929,0.9878655,0.002282941,0.0005066711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8251498,0.03065611,0.1114085,0.01082942,0.001701935,0.001923349,0.0001762562,0.0009236687,0.01723097],"genre_scores_gemma":[0.5731415,0.1254889,0.1952462,0.001515118,0.008009687,0.0003506913,0.00008636002,0.001548502,0.09461306],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7530566,"threshold_uncertainty_score":0.9997752,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W322482694","doi":"10.5802/jtnb.915","title":"Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer","year":2015,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diophantine approximation; Maxima and minima; Diophantine equation; Class (philosophy); Point (geometry); Series (stratigraphy); Regular polygon; Combinatorics; Function (biology); Parametric statistics; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Computer science","authors":[{"name":"Damien Roy","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05043095344174294,"gpt":0.3232076378381797,"spread":0.2727766843964368,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003607713,0.0003266992,0.0009381902,0.0001796519,0.0001422696,0.0001824529,0.0004699934,0.0004074445,0.00002501946],"category_scores_gemma":[0.001595406,0.0002317459,0.0002468647,0.0001312402,0.0004977801,0.0001096932,0.0003938523,0.0009785448,0.000001123998],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000237504,"about_ca_system_score_gemma":0.0004968425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001232319,"about_ca_topic_score_gemma":0.00001267458,"domain_scores_codex":[0.9971898,0.0004008714,0.00123063,0.0002336421,0.0005561005,0.0003889613],"domain_scores_gemma":[0.996048,0.0007069071,0.001662534,0.0005944038,0.0007473701,0.000240761],"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":[0.0001693974,0.0001645985,0.003701984,0.005247558,0.0007311425,0.00005728133,0.001939206,0.0003006375,0.0006837794,0.9822139,0.002189746,0.002600804],"study_design_scores_gemma":[0.0004021655,0.00008393706,0.0005277178,0.002181286,0.0003523699,0.001016843,0.002175183,0.008775882,0.0002000925,0.98364,0.0004083515,0.0002362268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9415614,0.004247712,0.04281994,0.0006273797,0.0004900263,0.000637019,0.0001180011,0.00004005337,0.009458457],"genre_scores_gemma":[0.9325308,0.001943337,0.06467368,0.00002877041,0.00037366,0.00002146688,0.000008927881,0.00008696914,0.0003323814],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02185374,"threshold_uncertainty_score":0.9450322,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4392375630","doi":"10.5802/jtnb.1266","title":"The size function for imaginary cyclic sextic fields","year":2024,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; The Imaginary; Function (biology); Function field; Pure mathematics; Mathematics education; Algebra over a field; Field (mathematics)","authors":[{"name":"Ha Thanh Nguyen Tran","is_ca":false},{"name":"Peng Tian","is_ca":false},{"name":"Amy Feaver","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01796105502108296,"gpt":0.3070290651987055,"spread":0.2890680101776225,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001975302,0.0001969013,0.0001962286,0.00007813389,0.0007268843,0.0004699762,0.000317202,0.0001411262,0.000180438],"category_scores_gemma":[0.00153809,0.0001358646,0.0002696265,0.0002522204,0.0001405204,0.0002706848,0.00005673437,0.0006294958,0.00003596293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002054255,"about_ca_system_score_gemma":0.0002656727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004492285,"about_ca_topic_score_gemma":0.000007008416,"domain_scores_codex":[0.9985192,0.0001647646,0.0003728037,0.0001806271,0.0002082572,0.000554354],"domain_scores_gemma":[0.9948985,0.004438872,0.0001052776,0.0002692585,0.0001174609,0.0001706213],"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":[0.0009939984,0.0001847406,0.0008380969,0.0008050929,0.0008012885,0.0003070056,0.002039773,0.00005962171,0.001278554,0.7726886,0.1386108,0.08139247],"study_design_scores_gemma":[0.0002962058,0.0002381661,0.0007670196,0.0001120238,0.0001949801,0.001233153,0.0004846036,0.000840899,0.0002570293,0.9442744,0.05113561,0.000165926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6225438,0.01231896,0.3222316,0.009844599,0.004136599,0.0006185531,0.00002525336,0.0004456779,0.02783502],"genre_scores_gemma":[0.9827915,0.0005416464,0.004583627,0.0004783001,0.001487676,0.00004678835,0.000001779684,0.00006064848,0.01000798],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3602478,"threshold_uncertainty_score":0.559068,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3037745114","doi":"10.5802/jtnb.1236","title":"Badly approximable numbers, Kronecker’s theorem, and diversity of Sturmian characteristic sequences","year":2023,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Kronecker delta; Irrational number; Sequence (biology); Dimension (graph theory); Combinatorics; Diophantine approximation; Discrete mathematics; Measure (data warehouse); Pure mathematics; Geometry","authors":[{"name":"Dzmitry Badziahin","is_ca":false},{"name":"Jeffrey Shallit","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0147754136065728,"gpt":0.2465004315173789,"spread":0.2317250179108061,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001488444,0.0001776872,0.0002787027,0.0001752801,0.0005475327,0.0002841509,0.0009349837,0.0000860561,0.00002478771],"category_scores_gemma":[0.0001437326,0.0001526611,0.00009624943,0.0004784329,0.0002647078,0.0007017497,0.0007188948,0.0002934846,0.00002217044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001202304,"about_ca_system_score_gemma":0.0002089757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000110735,"about_ca_topic_score_gemma":0.00001185966,"domain_scores_codex":[0.9984255,0.0001871072,0.0002962068,0.0002560259,0.0003124447,0.0005227566],"domain_scores_gemma":[0.9988675,0.0002307763,0.0002434238,0.0003042159,0.0001086059,0.0002454389],"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":[0.000357802,0.0004163206,0.2350519,0.0005935763,0.0005929877,0.002642908,0.02805587,0.0004938787,0.0319481,0.5331557,0.008169667,0.1585213],"study_design_scores_gemma":[0.0009647485,0.0003058637,0.2312061,0.0002369893,0.00006874681,0.001581777,0.001434304,0.02947642,0.002376014,0.72968,0.002149659,0.0005194188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9676331,0.0003776854,0.02895173,0.0006382242,0.0002730603,0.00009240198,0.00001787619,0.000124129,0.001891759],"genre_scores_gemma":[0.988501,0.0007179203,0.0101677,0.0001726455,0.0001171956,0.000002673155,0.000002913013,0.00001273703,0.0003052811],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1965243,"threshold_uncertainty_score":0.6225337,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2899530414","doi":"10.5802/jtnb.1113","title":"The distribution of sums and products of additive functions","year":2020,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"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":"Mathematics; Distribution (mathematics); Combinatorics; Polynomial; Natural number; Set (abstract data type); Action (physics); Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science; Physics","authors":[{"name":"Greg Martin","is_ca":true},{"name":"Lee Troupe","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04834237427415731,"gpt":0.3379770702126441,"spread":0.2896346959384867,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00212641,0.0002367896,0.0005111977,0.00007422141,0.0003068983,0.0001191914,0.0004888765,0.0001959558,0.00004107577],"category_scores_gemma":[0.006304803,0.0001726753,0.000200353,0.0002539251,0.000714767,0.0000812308,0.0005633436,0.001373184,0.000003254566],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003280209,"about_ca_system_score_gemma":0.001244473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000440904,"about_ca_topic_score_gemma":0.00002201374,"domain_scores_codex":[0.9976595,0.0004854564,0.0006962859,0.0002513231,0.0004999355,0.000407465],"domain_scores_gemma":[0.9960523,0.001446273,0.0007689887,0.0004557407,0.001056797,0.0002198631],"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":[0.003126723,0.001012595,0.0127073,0.005960478,0.005069602,0.0002581481,0.007542649,0.0003462065,0.003500724,0.7857776,0.1442496,0.03044837],"study_design_scores_gemma":[0.000350958,0.0001926452,0.005450299,0.0004157889,0.0003690348,0.0002516797,0.001425827,0.0007283607,0.002008045,0.9846897,0.003935196,0.0001825201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8930717,0.003693279,0.08449019,0.007073607,0.0006614173,0.001249092,0.001936996,0.00008129596,0.007742418],"genre_scores_gemma":[0.9940159,0.001913009,0.002379926,0.00001378265,0.0004478883,0.00002368391,0.00005185458,0.00004333991,0.001110577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.198912,"threshold_uncertainty_score":0.7547894,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4416741069","doi":"10.5802/jtnb.1351","title":"On the distribution of the number of distinct generators of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>h</mml:mi> </mml:math> -free and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>h</mml:mi> </mml:math> -full elements in an abelian monoid","year":2025,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Prime (order theory); Element (criminal law); Monoid; Order (exchange); Algebra over a field; Function (biology)","authors":[{"name":"Sourabhashis Das","is_ca":false},{"name":"Wentang Kuo","is_ca":false},{"name":"Yuru Liu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01759682278731035,"gpt":0.2619139486705188,"spread":0.2443171258832085,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002571156,0.0007073385,0.0005995133,0.0002425858,0.0009850573,0.0004957815,0.001676849,0.000800574,0.0000846515],"category_scores_gemma":[0.001947919,0.0006913926,0.0008437902,0.0007363314,0.001059892,0.0006940785,0.0009839098,0.001323606,0.00008905277],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001004027,"about_ca_system_score_gemma":0.0009941787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004783226,"about_ca_topic_score_gemma":0.0006191495,"domain_scores_codex":[0.9942246,0.0004020872,0.001979978,0.0007845184,0.001379976,0.001228857],"domain_scores_gemma":[0.9944472,0.001020593,0.002081758,0.001773417,0.0002664569,0.0004105247],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006364711,0.000613249,0.0007627729,0.0009676893,0.0006102538,0.0001600146,0.001539318,0.0003094811,0.00273146,0.988706,0.001987504,0.0009757795],"study_design_scores_gemma":[0.005181522,0.002319641,0.006970309,0.004939879,0.002191973,0.00159845,0.004963051,0.6693177,0.1009052,0.1964919,0.003219609,0.001900752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.99401,0.0005135962,0.001039006,0.0004851919,0.0007803742,0.0001491814,0.0003845642,0.00009752997,0.002540531],"genre_scores_gemma":[0.9949909,0.0007260396,0.00276043,0.0003932461,0.0005077396,0.0001949516,0.0001290343,0.0002129317,0.00008476005],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7922141,"threshold_uncertainty_score":0.9995537,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411567554","doi":"10.5802/jtnb.1318","title":"Large Sums of Fourier Coefficients of Cusp Forms","year":2025,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Computer science","authors":[{"name":"Claire Frechette","is_ca":false},{"name":"Mathilde Gerbelli-Gauthier","is_ca":false},{"name":"Alia Hamieh","is_ca":false},{"name":"Naomi Tanabe","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0225246080681536,"gpt":0.3460366331664445,"spread":0.3235120250982909,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005690002,0.0004595846,0.001188027,0.0007038748,0.0003128368,0.0001602908,0.001308832,0.0004307805,0.001293428],"category_scores_gemma":[0.003142038,0.0003988949,0.0006977136,0.001176043,0.0007298416,0.0002754253,0.0005405797,0.001307624,0.0000802065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007751597,"about_ca_system_score_gemma":0.002400378,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000538475,"about_ca_topic_score_gemma":0.00006024718,"domain_scores_codex":[0.9946421,0.0005891708,0.001777261,0.0003426913,0.001146715,0.001502039],"domain_scores_gemma":[0.9948081,0.00141369,0.001031901,0.0009194814,0.001343177,0.0004836316],"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":[0.002702658,0.003956537,0.07943369,0.006499509,0.003986752,0.0005069815,0.0114961,0.0004926344,0.003842904,0.8464562,0.03164304,0.008983011],"study_design_scores_gemma":[0.004309278,0.0006280974,0.00401159,0.002594464,0.0009978572,0.0002950443,0.007369929,0.009912081,0.01099291,0.9452647,0.01311727,0.0005067743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7632459,0.00256776,0.1636156,0.0006927044,0.0005026071,0.0005643891,0.0002398452,0.00002958932,0.06854165],"genre_scores_gemma":[0.9679579,0.0010261,0.005355671,0.0001287901,0.0001829249,0.000005359826,0.000005711104,0.00008490003,0.0252526],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2047121,"threshold_uncertainty_score":0.9998463,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411567581","doi":"10.5802/jtnb.1319","title":"A mod- <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>p</mml:mi> </mml:math> metaplectic Montréal functor","year":2025,"lang":"lv","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft","keywords":"Medicine","authors":[{"name":"Robin Witthaus","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01664644813040406,"gpt":0.2651026008853314,"spread":0.2484561527549273,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.001608464,0.0007665101,0.0007013862,0.0004962928,0.001348697,0.0009393069,0.001062554,0.0009101864,0.0002688651],"category_scores_gemma":[0.002793423,0.0008596785,0.001143191,0.001083701,0.000454814,0.0008339231,0.0006435548,0.002048906,0.0007466664],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002459042,"about_ca_system_score_gemma":0.001809997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001802829,"about_ca_topic_score_gemma":0.0002935571,"domain_scores_codex":[0.9947624,0.0002970922,0.00145562,0.0007285565,0.00103244,0.001723902],"domain_scores_gemma":[0.9951514,0.001527576,0.001144268,0.00114394,0.0003122972,0.0007205454],"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":[0.000746616,0.0004847478,0.00009640126,0.001139949,0.001600174,0.001259651,0.00148425,0.001130318,0.0009893721,0.981159,0.005518138,0.004391409],"study_design_scores_gemma":[0.00322863,0.00149598,0.0006730106,0.002136772,0.003398673,0.004080872,0.003835896,0.3751508,0.007189451,0.5743484,0.02299082,0.001470579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9530754,0.009330722,0.02648563,0.0009276837,0.001731091,0.0001286067,0.0001016998,0.00018872,0.008030424],"genre_scores_gemma":[0.9771127,0.003096462,0.01429018,0.001317989,0.00143733,0.0001290263,0.00003271837,0.0002652918,0.002318287],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4068105,"threshold_uncertainty_score":0.9999514,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4210380300","doi":"10.5802/jtnb.1181","title":"Conjecture A and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>μ</mml:mi> </mml:math> -invariant for Selmer groups of supersingular elliptic curves","year":2022,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"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":"University of British Columbia; Université de Montréal","keywords":"Mathematics; Elliptic curve; Algebraic number field; Conjecture; Number theory; Algebraic number; Quadratic equation; Pure mathematics; Invariant (physics); Discrete mathematics; Arithmetic; Mathematical analysis; Geometry","authors":[{"name":"Parham Hamidi","is_ca":true},{"name":"Jishnu Ray","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01843698567645389,"gpt":0.2551371263729172,"spread":0.2367001406964633,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001898256,0.0002618643,0.0003036165,0.0001405651,0.0007548248,0.0001395447,0.0004231271,0.000223596,0.0001785594],"category_scores_gemma":[0.0008403462,0.0002867484,0.0003622547,0.0002761882,0.0002678695,0.0002430491,0.000264437,0.0006829804,0.00001455692],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005169468,"about_ca_system_score_gemma":0.000410109,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000367881,"about_ca_topic_score_gemma":0.0000132601,"domain_scores_codex":[0.9978434,0.0002132142,0.0005726485,0.0002892399,0.0004893424,0.0005921051],"domain_scores_gemma":[0.9977842,0.001006207,0.0004890806,0.0003870438,0.00009197138,0.0002415014],"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":[0.0003950246,0.0001836277,0.00007587745,0.001014728,0.0004248038,0.0002470558,0.002642913,0.0001150092,0.001213836,0.991379,0.0020343,0.000273889],"study_design_scores_gemma":[0.002793331,0.002352437,0.0003227451,0.001093298,0.001640203,0.01220234,0.00846397,0.08840914,0.01113697,0.8616534,0.00898705,0.0009450395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9909515,0.002493422,0.004528129,0.0004020918,0.000341262,0.00008913744,0.00009065076,0.00005259797,0.001051175],"genre_scores_gemma":[0.9913839,0.0005760258,0.006732947,0.0005950129,0.0003637592,0.00007839395,0.00002682011,0.00009817349,0.0001450206],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1297255,"threshold_uncertainty_score":0.9999585,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2891257351","doi":"10.5802/jtnb.1085","title":"A measure of transcendence for singular points on conics","year":2019,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conic section; Mathematics; Measure (data warehouse); Pure mathematics; Transcendental number; Singular point of a curve; Mathematical analysis; Point (geometry); Regular singular point; Parabola; Osculating circle; Combinatorics; Geometry; Singular integral","authors":[{"name":"Damien Roy","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05557269656232729,"gpt":0.3248641229488661,"spread":0.2692914263865389,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003958452,0.0005012505,0.001078175,0.0002332431,0.0002454575,0.0001047238,0.0009383184,0.0006389596,0.0001024621],"category_scores_gemma":[0.003258329,0.000467015,0.0007972174,0.00008927366,0.0002455666,0.00009650925,0.00009914656,0.001541242,0.00001408055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006876762,"about_ca_system_score_gemma":0.001472623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003240787,"about_ca_topic_score_gemma":0.000006692876,"domain_scores_codex":[0.9969955,0.0003798655,0.001024668,0.0003530319,0.0006279597,0.0006189803],"domain_scores_gemma":[0.995281,0.001855853,0.001159815,0.000810258,0.0006288971,0.0002641691],"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":[0.002690314,0.001946446,0.0002237137,0.01676396,0.001749745,0.0002250768,0.01878634,0.002958159,0.00293784,0.9324656,0.01304744,0.006205393],"study_design_scores_gemma":[0.0009697623,0.0004508476,0.0000267228,0.003699671,0.0004897125,0.0003352854,0.0002940474,0.001406623,0.002058273,0.9848924,0.004913585,0.0004630721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4244046,0.002673923,0.5487349,0.0007288961,0.002153357,0.00193407,0.0003514762,0.0001640651,0.01885473],"genre_scores_gemma":[0.830853,0.0004169084,0.1657427,0.0002591422,0.0005375943,0.00005069038,0.00001025359,0.0002149777,0.001914689],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4064484,"threshold_uncertainty_score":0.9997782,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2246156274","doi":"10.5802/jtnb.962","title":"On the equivalence of types","year":2017,"lang":"fr","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"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":"Monic polynomial; Equivalence (formal languages); Mathematics; ENCODE; Prime (order theory); Combinatorics; Type (biology); Pure mathematics; Discrete mathematics; Polynomial; Mathematical analysis","authors":[{"name":"Enric Nart","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04199909229561782,"gpt":0.3176093707306623,"spread":0.2756102784350445,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005854207,0.0006414385,0.0009525642,0.000187882,0.001124624,0.0004307081,0.00271583,0.0006876604,0.002281732],"category_scores_gemma":[0.007567915,0.0004660881,0.000753178,0.0001661282,0.001320577,0.0002146637,0.0008412635,0.003101074,0.000239725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005574443,"about_ca_system_score_gemma":0.001287625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008006173,"about_ca_topic_score_gemma":0.00001389933,"domain_scores_codex":[0.99572,0.001040562,0.001069564,0.0004089664,0.0007453912,0.001015539],"domain_scores_gemma":[0.9910752,0.004105515,0.002114482,0.001743661,0.0005606365,0.0004005566],"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":[0.0004979151,0.000465939,0.00157769,0.001071033,0.0008763688,0.0002712763,0.002694516,0.0006883435,0.0003587239,0.9739655,0.009099578,0.008433097],"study_design_scores_gemma":[0.0004322648,0.0003569119,0.003767281,0.002955754,0.0005112361,0.00112735,0.000577518,0.0003495158,0.002342528,0.9795776,0.007544986,0.0004570244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8588283,0.006317086,0.01501517,0.00607687,0.002565201,0.0004930078,0.0001255839,0.00005127682,0.1105275],"genre_scores_gemma":[0.9664294,0.004633151,0.006227254,0.0003821256,0.001338518,0.00002232334,0.000003947425,0.0001067285,0.02085657],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1076011,"threshold_uncertainty_score":0.9997791,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411567578","doi":"10.5802/jtnb.1311","title":"On the shapes of pure prime-degree number fields","year":2025,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Computer science","authors":[{"name":"Erik Holmes","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02720836224137518,"gpt":0.3068525480004045,"spread":0.2796441857590293,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001516631,0.000204886,0.0003121846,0.0001077996,0.0003096364,0.00008269066,0.0005834929,0.0001989531,0.001176359],"category_scores_gemma":[0.001962749,0.0001368415,0.0002363031,0.0003629194,0.000171175,0.0001039125,0.0001059852,0.0007728642,0.00003279887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001212794,"about_ca_system_score_gemma":0.0002872758,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000941963,"about_ca_topic_score_gemma":0.0000125412,"domain_scores_codex":[0.9984356,0.0002839307,0.0004492527,0.0001478817,0.0002765821,0.0004067756],"domain_scores_gemma":[0.9969434,0.002177892,0.0002513888,0.0003457686,0.0001738702,0.0001076639],"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":[0.0002977664,0.0002243701,0.002902026,0.0001334089,0.0002954558,0.0000452717,0.00104501,0.00002839101,0.0002875505,0.9562787,0.03257943,0.005882638],"study_design_scores_gemma":[0.000373693,0.0001114462,0.003414718,0.0002591283,0.0001030696,0.0001939509,0.0007713505,0.00009791786,0.003470607,0.9895563,0.001512392,0.0001354723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8631662,0.0002849637,0.01756461,0.002404292,0.0002491294,0.0001545691,0.00000714434,0.0000450704,0.116124],"genre_scores_gemma":[0.9907995,0.0001186042,0.002354963,0.000953763,0.0001860897,0.000007771564,5.718491e-7,0.00002344141,0.005555284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1276333,"threshold_uncertainty_score":0.9997367,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}