{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":63,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":63,"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":"90d391cb7c97","filters":{"venue":"Journal of the American Mathematical Society"}},"results":[{"id":"W1493995528","doi":"10.1090/s0894-0347-02-00410-1","title":"Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂","year":2002,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":695,"is_retracted":false,"has_abstract":true,"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; Clay Mathematics Institute; National Science Foundation","keywords":"Algorithm; Computer science; Artificial intelligence; Mathematics","authors":[{"name":"Henry Kim","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03099848294479697,"gpt":0.2899959227319697,"spread":0.2589974397871727,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.003338849,0.0003497171,0.001686405,0.00005247429,0.0003305361,0.00005802264,0.001069835,0.0001131353,0.0001591994],"category_scores_gemma":[0.005955506,0.0001447248,0.002139426,0.001300192,0.002951686,0.0001234336,0.0003309914,0.0006492395,0.000003335733],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000834911,"about_ca_system_score_gemma":0.00006374541,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007728347,"about_ca_topic_score_gemma":7.906794e-7,"domain_scores_codex":[0.9961837,0.0003427484,0.0018054,0.0001958322,0.00105558,0.0004167405],"domain_scores_gemma":[0.979717,0.01404987,0.0046925,0.000870373,0.0005378456,0.0001324445],"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":[0.00316255,0.005673592,0.002141149,0.01438601,0.011212,0.000006377737,0.05469609,0.0002787143,0.002322409,0.762464,0.05197294,0.09168421],"study_design_scores_gemma":[0.006558186,0.001419031,0.002815852,0.001244266,0.004441318,0.0001862284,0.02072069,0.01964622,0.000886749,0.9395375,0.002054609,0.0004893749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7486299,0.01166396,0.2194673,0.01579099,0.001330476,0.002418409,0.0001745125,0.00001908369,0.0005054131],"genre_scores_gemma":[0.9692073,0.001813954,0.02740233,0.0004787128,0.0007316429,0.00001620094,1.681578e-7,0.00005412892,0.0002955909],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2205774,"threshold_uncertainty_score":0.9997617,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1495088152","doi":"10.1090/s0894-0347-05-00477-7","title":"Enumerative tropical algebraic geometry in ℝ²","year":2005,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":619,"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":"Tropical geometry; Mathematics; Holomorphic function; Geometry; Algebraic geometry; Algebraic number; Polygon (computer graphics); Newton polygon; Algebraic curve; Lattice (music); Combinatorics; Algorithm; Algebra over a field; Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science; Physics","authors":[{"name":"Grigory Mikhalkin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009065200825975759,"gpt":0.2514914564355286,"spread":0.2424262556095528,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000356575,0.0001076599,0.0003237451,0.00004117814,0.00006880116,0.00006772293,0.0008457095,0.00002656895,0.0000202564],"category_scores_gemma":[0.0001608489,0.00006362136,0.0003682326,0.0006616076,0.0001845793,0.0002940635,0.0002070616,0.0003571858,0.00002527419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001373217,"about_ca_system_score_gemma":0.00008820443,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003096328,"about_ca_topic_score_gemma":0.000001156739,"domain_scores_codex":[0.9986799,0.0001134139,0.0004728362,0.0001210824,0.0003951091,0.0002176023],"domain_scores_gemma":[0.9988374,0.0003340838,0.0004619823,0.0002144325,0.00005624352,0.00009587343],"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":[0.00009468924,0.002622264,0.01152764,0.0001054639,0.0005175016,0.00004060995,0.02533791,0.004065116,0.006847689,0.3400196,0.0267385,0.582083],"study_design_scores_gemma":[0.002236377,0.000722485,0.2490567,0.0002734775,0.00006358294,0.0005871782,0.001049077,0.298692,0.004050918,0.4379079,0.004670104,0.0006901671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7032691,0.00005441045,0.283614,0.01269974,0.00009188719,0.00006031112,3.464241e-7,0.00001354452,0.0001967193],"genre_scores_gemma":[0.9050862,0.00001079059,0.09278825,0.001819213,0.0002233049,0.000001372017,3.215827e-8,0.000005131446,0.00006569237],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5813928,"threshold_uncertainty_score":0.2594404,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1612143154","doi":"10.1090/s0894-0347-03-00421-1","title":"Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋","year":2003,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":554,"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":"Alfred P. Sloan Foundation","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","authors":[{"name":"J. Colliander","is_ca":true},{"name":"M. Keel","is_ca":false},{"name":"Gigliola Staffilani","is_ca":false},{"name":"Hideo Takaoka","is_ca":false},{"name":"Terence Tao","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03646004043791726,"gpt":0.3332982752402432,"spread":0.296838234802326,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009677909,0.0002867935,0.0008283972,0.00001582357,0.0001996404,0.00006576181,0.0003247451,0.00006933467,0.00001555541],"category_scores_gemma":[0.001575865,0.0001731103,0.0004599919,0.0002457244,0.0006393247,0.0001341176,0.0001093064,0.0003367353,0.000004108344],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001249164,"about_ca_system_score_gemma":0.00005712849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.460336e-7,"about_ca_topic_score_gemma":2.316796e-7,"domain_scores_codex":[0.9980803,0.0001100642,0.0007116232,0.0002290973,0.000495234,0.0003737162],"domain_scores_gemma":[0.9962541,0.00202698,0.0009581107,0.0003758193,0.0001590933,0.0002258629],"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":[0.00006629432,0.0004565187,0.0000589187,0.000509877,0.0002017428,0.000001450767,0.0005991573,0.00003332214,0.0004775088,0.9932513,0.003306945,0.001036964],"study_design_scores_gemma":[0.0008747163,0.0002922729,0.00007427391,0.0001919277,0.0001790936,0.0001181931,0.0006207325,0.001493107,0.0005136759,0.9951382,0.0002976642,0.0002061998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5843158,0.0001402108,0.4026895,0.003122377,0.0001784842,0.001134573,0.00002757575,0.00005643226,0.008334929],"genre_scores_gemma":[0.7263491,0.00004615301,0.2721368,0.00103086,0.0001088905,0.00002368271,2.159885e-7,0.00005809866,0.0002462639],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1420332,"threshold_uncertainty_score":0.7059234,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007348070","doi":"10.1090/s0894-0347-2011-00703-0","title":"Beta ensembles, stochastic Airy spectrum, and a diffusion","year":2011,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":241,"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; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Random matrix; Eigenvalues and eigenvectors; Central limit theorem; Mathematical physics; Essential spectrum; Universality (dynamical systems); Tridiagonal matrix; Spectrum (functional analysis); White noise; BETA (programming language); Real line; Pure mathematics; Mathematical analysis; Quantum mechanics; Physics","authors":[{"name":"José A. Ramı́rez","is_ca":false},{"name":"Brian Rider","is_ca":false},{"name":"Bálint Virág","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02894337594953097,"gpt":0.2718889337279036,"spread":0.2429455577783726,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001046925,0.0003645897,0.00111376,0.00004568074,0.0003633911,0.00009184446,0.0007491771,0.00009184721,0.0002288976],"category_scores_gemma":[0.0002956606,0.000215557,0.001076653,0.0005059958,0.0009461511,0.0001283629,0.0003789582,0.0007599945,0.00004085891],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001116628,"about_ca_system_score_gemma":0.0001191713,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004110799,"about_ca_topic_score_gemma":0.000002846332,"domain_scores_codex":[0.9972174,0.0001772078,0.001209441,0.0002432332,0.0007005446,0.0004521881],"domain_scores_gemma":[0.9953224,0.001095831,0.002488226,0.0006404784,0.0001399147,0.0003131664],"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":[0.002262924,0.02140766,0.004479121,0.00751598,0.009301379,0.0001269172,0.1647031,0.0001256146,0.009980687,0.636943,0.1181222,0.02503131],"study_design_scores_gemma":[0.003497821,0.0009866976,0.009729819,0.001422268,0.003530474,0.001646316,0.01082416,0.01061712,0.0005106993,0.9553932,0.0009742795,0.0008671533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9019263,0.0007674761,0.09133609,0.003845892,0.0001861404,0.0006433373,0.00002095089,0.00002906678,0.00124472],"genre_scores_gemma":[0.9571769,0.000655172,0.04061636,0.0004511041,0.0003959516,0.000009834078,2.498566e-7,0.00006933297,0.0006250881],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3184502,"threshold_uncertainty_score":0.879016,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1534683262","doi":"10.1090/s0894-0347-01-00376-9","title":"Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs","year":2001,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":182,"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":"Algorithm; Mathematics; Artificial intelligence; Computer science","authors":[{"name":"Luis Caffarelli","is_ca":false},{"name":"Mikhail Feldman","is_ca":false},{"name":"Robert J. McCann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0308534616284567,"gpt":0.2901835966635499,"spread":0.2593301350350932,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001989648,0.000509312,0.002023814,0.00008751896,0.0002673782,0.00007118611,0.001227135,0.0001974133,0.0003589806],"category_scores_gemma":[0.0008740469,0.0003546426,0.002589164,0.001039905,0.001185773,0.000199156,0.0001712115,0.000875985,0.00001552893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003266185,"about_ca_system_score_gemma":0.0003960171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003007707,"about_ca_topic_score_gemma":0.000003007868,"domain_scores_codex":[0.9951807,0.0002081451,0.00240622,0.0002702975,0.001183557,0.0007510656],"domain_scores_gemma":[0.9911173,0.00242328,0.004716918,0.0006148908,0.0007950072,0.000332622],"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":[0.004813403,0.01567903,0.03813958,0.018336,0.01938652,0.000235259,0.05921108,0.0009605511,0.009912156,0.7458318,0.0440021,0.0434925],"study_design_scores_gemma":[0.008633456,0.007418328,0.002968755,0.005415161,0.006409378,0.006887153,0.2002473,0.01277856,0.00466764,0.7373349,0.00516881,0.00207052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9267362,0.0002083762,0.06378347,0.003019301,0.0002397999,0.001123503,0.0001148758,0.00002905929,0.00474545],"genre_scores_gemma":[0.8103884,0.0001732461,0.1876955,0.0004139093,0.000330354,0.00001715363,0.000002086109,0.00008144628,0.0008978361],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1410362,"threshold_uncertainty_score":0.9998906,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2158231340","doi":"10.1090/s0894-0347-04-00471-0","title":"The orbifold Chow ring of toric Deligne-Mumford stacks","year":2004,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":173,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"National Science Foundation","keywords":"Orbifold; Toric variety; Stack (abstract data type); Ring (chemistry); Variety (cybernetics); Deformation (meteorology)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.01892672635135572,"gpt":0.2902413983845846,"spread":0.2713146720332289,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002182816,0.0002043418,0.0006312223,0.00002495331,0.0003105357,0.00004227303,0.0009731131,0.00006089036,0.00004467107],"category_scores_gemma":[0.001502443,0.00009972397,0.0009780251,0.0006056241,0.0006896983,0.0001166094,0.0002113727,0.0005328709,0.00001031867],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001928361,"about_ca_system_score_gemma":0.0001258865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006813806,"about_ca_topic_score_gemma":9.670558e-7,"domain_scores_codex":[0.9976382,0.0001406213,0.000941333,0.0001173874,0.0007979423,0.0003644649],"domain_scores_gemma":[0.9955673,0.001807846,0.001714411,0.0005574148,0.0002207452,0.0001322748],"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":[0.0003623246,0.00183425,0.001113011,0.0008723038,0.002447188,0.00001829084,0.01449309,0.000277715,0.01026217,0.9468541,0.01365117,0.007814383],"study_design_scores_gemma":[0.0005472754,0.0002018747,0.0004385287,0.0002144894,0.0001950275,0.000148025,0.004663905,0.00005196954,0.006288048,0.9865204,0.0005822837,0.0001481491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9631433,0.0001812874,0.03223865,0.002449962,0.000227306,0.0001830764,0.00000296602,0.00002364151,0.001549817],"genre_scores_gemma":[0.9719364,0.0001281057,0.0270125,0.0002936955,0.0002390908,0.000003638085,6.80822e-8,0.00003309128,0.0003534234],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03966631,"threshold_uncertainty_score":0.4066626,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2092938060","doi":"10.1090/s0894-0347-06-00545-5","title":"The local Gromov-Witten theory of curves","year":2006,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":171,"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; David and Lucile Packard Foundation; National Science Foundation","keywords":"Mathematics; Cohomology; Algorithm; Type (biology); Annotation; Artificial intelligence; Computer science; Pure mathematics; Geology","authors":[{"name":"Jim Bryan","is_ca":true},{"name":"Rahul Pandharipande","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01437768635899633,"gpt":0.2689199356644184,"spread":0.254542249305422,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003850072,0.0001915708,0.0006360469,0.00001875363,0.0002423443,0.00002396649,0.0009465105,0.00005147523,0.00009990964],"category_scores_gemma":[0.001148772,0.00008742523,0.001046849,0.0004681587,0.002088591,0.00008529183,0.0001800572,0.0004790967,0.00001024313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006398703,"about_ca_system_score_gemma":0.0000768201,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005479779,"about_ca_topic_score_gemma":6.927355e-7,"domain_scores_codex":[0.9973752,0.0004648394,0.0009750433,0.0001067981,0.0007674161,0.0003107311],"domain_scores_gemma":[0.9927396,0.004710824,0.001742593,0.0005218861,0.0002082871,0.00007679933],"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":[0.000138836,0.000649475,0.0005198035,0.0005515707,0.0006266455,0.000005150094,0.0009356484,0.00001501758,0.0007452786,0.91319,0.07875886,0.003863704],"study_design_scores_gemma":[0.000227824,0.0001063651,0.001347262,0.0003189741,0.0002254494,0.0001519604,0.00298767,0.00006879336,0.001602628,0.9922486,0.0006001125,0.0001143761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8532546,0.001511242,0.1290352,0.007658035,0.0002797104,0.0003698842,0.000008984192,0.0000404538,0.00784189],"genre_scores_gemma":[0.9887483,0.0001747953,0.008607084,0.0007285088,0.0002508606,0.000004190918,2.011931e-7,0.0000349344,0.001451171],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1354937,"threshold_uncertainty_score":0.7695503,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1487235877","doi":"10.1090/s0894-0347-03-00427-2","title":"Quasianalytic Denjoy-Carleman classes and o-minimality","year":2003,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":149,"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; Centre National de la Recherche Scientifique; National Science Foundation","keywords":"Mathematics; Closure (psychology); Pure mathematics; Class (philosophy); Field (mathematics); Decomposition","authors":[{"name":"Jean-Philippe Rolin","is_ca":false},{"name":"Patrick Speissegger","is_ca":false},{"name":"A. J. Wilkie","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02843732664203493,"gpt":0.336049795123453,"spread":0.3076124684814181,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001489821,0.0001706099,0.0006183688,0.00002053804,0.0001847835,0.0000232479,0.0002957413,0.0000614886,0.00008179603],"category_scores_gemma":[0.001993983,0.00009868036,0.0004965861,0.0002251214,0.001127329,0.0001052199,0.00006972256,0.000460347,0.00000611574],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000662098,"about_ca_system_score_gemma":0.00006889657,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.613737e-7,"about_ca_topic_score_gemma":9.84445e-7,"domain_scores_codex":[0.998333,0.0003666153,0.0005904417,0.0001297404,0.0003181149,0.0002621005],"domain_scores_gemma":[0.996843,0.001697886,0.0008950813,0.0003258475,0.0001028555,0.0001353065],"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":[0.00004889239,0.0004055357,0.003892304,0.0002369091,0.0004990749,0.00001225161,0.002441098,0.000006064984,0.0004529641,0.9877997,0.0035299,0.0006752793],"study_design_scores_gemma":[0.0002809061,0.000114869,0.001112494,0.00006567042,0.000216697,0.0004480981,0.003755045,0.00008848354,0.000371382,0.9928223,0.0005984679,0.0001255124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9525868,0.0001599584,0.04112663,0.001613877,0.00009629256,0.0001325162,0.000002311996,0.00002056216,0.004261036],"genre_scores_gemma":[0.9205493,0.00005027949,0.07826406,0.0006273512,0.00006471256,0.000001938645,4.839125e-8,0.00002060606,0.0004216633],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03713743,"threshold_uncertainty_score":0.4153691,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2132488183","doi":"10.1090/s0894-0347-08-00622-x","title":"Uniform energy distribution for an isoperimetric problem with long-range interactions","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Block Copolymer Self-Assembly","field":"Materials Science","cited_by":131,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Hausdorff Center for Mathematics","keywords":"Range (aeronautics); Conjecture; Dimension (graph theory); Mathematics; Distribution (mathematics); Space (punctuation); Energy (signal processing); Algorithm; Combinatorics; Computer science; Mathematical analysis; Statistics; Materials science","authors":[{"name":"Giovanni Alberti","is_ca":false},{"name":"Rustum Choksi","is_ca":true},{"name":"Félix Otto","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01882122856074009,"gpt":0.2690595146339809,"spread":0.2502382860732408,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041807,0.0001610804,0.0004047048,0.00002854603,0.0003601655,0.00005763487,0.0005278506,0.00003202441,0.00004786522],"category_scores_gemma":[0.00008440275,0.00008806217,0.0003418532,0.0005998508,0.0004157722,0.0003851884,0.00007319998,0.0001798129,0.000007543882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002005858,"about_ca_system_score_gemma":0.0001638334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005290035,"about_ca_topic_score_gemma":0.000009981381,"domain_scores_codex":[0.9985294,0.0000860377,0.000466669,0.0001513771,0.0004710795,0.0002954006],"domain_scores_gemma":[0.9981328,0.0002659603,0.0008546165,0.0003024252,0.0002847874,0.0001593732],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.003322529,0.01487944,0.01597564,0.001027653,0.002260811,0.00008144965,0.01970129,0.001600079,0.7233245,0.04847,0.1482416,0.02111506],"study_design_scores_gemma":[0.01035576,0.01957493,0.04308576,0.001451012,0.002920794,0.0186146,0.01277224,0.03958857,0.779096,0.04558302,0.02318132,0.003775948],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7724677,0.00005617572,0.226096,0.0008727167,0.0001041112,0.0001547475,0.00002055089,0.00002887472,0.0001991531],"genre_scores_gemma":[0.9533852,0.00002547996,0.04586305,0.0003213138,0.000183331,0.00001788028,0.000001839983,0.00002407109,0.0001777778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1809176,"threshold_uncertainty_score":0.3591071,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2098883364","doi":"10.1090/s0894-0347-06-00536-4","title":"Large character sums: Pretentious characters and the Pólya-Vinogradov theorem","year":2006,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":116,"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":"National Science Foundation","keywords":"Mathematics; Character (mathematics); Bounded function; Order (exchange); Riemann hypothesis; Combinatorics; Upper and lower bounds; Simple (philosophy); Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"Andrew Granville","is_ca":true},{"name":"K. Soundararajan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01588148494681611,"gpt":0.2968434027886591,"spread":0.2809619178418429,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004465756,0.0002531607,0.0008159583,0.00003538572,0.0003306348,0.0001407143,0.0008445356,0.00006367729,0.0001044777],"category_scores_gemma":[0.0008530977,0.0001137102,0.001074484,0.0003759435,0.002150647,0.0001606378,0.0003134521,0.0007933801,0.00002158434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000982879,"about_ca_system_score_gemma":0.00006252339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009131873,"about_ca_topic_score_gemma":0.000001615275,"domain_scores_codex":[0.9968667,0.0005888102,0.00087008,0.0001788079,0.0009752963,0.0005203071],"domain_scores_gemma":[0.9953452,0.002407933,0.001321092,0.0005823523,0.0002125998,0.0001307673],"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":[0.0003600999,0.0006755282,0.002768798,0.000239476,0.000870227,0.00001359245,0.003734089,0.000001075274,0.0007672072,0.9778287,0.01228462,0.000456584],"study_design_scores_gemma":[0.00189472,0.00008216055,0.006576827,0.0001524094,0.0004032975,0.0003182267,0.00260125,0.001308164,0.0001624496,0.9853694,0.0009216473,0.000209382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.979657,0.0001180279,0.00980508,0.007781797,0.0001024333,0.0004668469,0.00001002858,0.00003134273,0.002027445],"genre_scores_gemma":[0.992502,0.00007921713,0.003953326,0.0009435199,0.0004086578,0.00001073144,4.234481e-7,0.00005060267,0.002051577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01284495,"threshold_uncertainty_score":0.7924148,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2112574583","doi":"10.1090/s0894-0347-09-00650-x","title":"Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles","year":2009,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":115,"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":"Division of Mathematical Sciences; University of Alberta; Pacific Institute for the Mathematical Sciences","keywords":"Covariance; Identity matrix; Covariance matrix; Multivariate random variable; Estimation of covariance matrices; Identity (music); Convergence (economics); Regular polygon; Distribution (mathematics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.1133972582069181,"gpt":0.4025220636771473,"spread":0.2891248054702293,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00145719,0.0001877862,0.000822899,0.00003797616,0.0001028807,0.00001865741,0.001044063,0.0000627719,0.00003903304],"category_scores_gemma":[0.005095793,0.00008175904,0.000783756,0.00132004,0.0009253565,0.0001050903,0.0001753969,0.0004511276,0.000001612443],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008468451,"about_ca_system_score_gemma":0.0002089353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001723738,"about_ca_topic_score_gemma":0.000002465143,"domain_scores_codex":[0.9974287,0.0002431359,0.001178459,0.0001195647,0.0007607648,0.000269404],"domain_scores_gemma":[0.9936993,0.003132808,0.002339071,0.0004432233,0.0003352067,0.00005035102],"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":[0.0005560853,0.003283211,0.02805116,0.002965738,0.001070155,0.000009353339,0.06265485,0.001391907,0.0173503,0.8612199,0.01994855,0.001498766],"study_design_scores_gemma":[0.0004718047,0.0003495754,0.01675976,0.0007649044,0.0001773313,0.00007482889,0.009121583,0.003807302,0.01129035,0.9569765,0.00004444399,0.000161614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9740329,0.0002573424,0.01869259,0.006323623,0.0001251622,0.0002377995,0.00001489249,0.000006714284,0.0003089469],"genre_scores_gemma":[0.9573728,0.0000688015,0.04185826,0.0005337254,0.00003372495,0.000001941359,5.073624e-8,0.00001180523,0.0001188881],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09575658,"threshold_uncertainty_score":0.6100509,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1809268447","doi":"10.1090/s0894-0347-05-00516-3","title":"Non-computable Julia sets","year":2005,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":97,"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","keywords":"Mathematics; Computable analysis; Julia set; Computability; Computable number; Quadratic equation; Computable function; Point (geometry); Pure mathematics; Algebra over a field; Discrete mathematics; Geometry","authors":[{"name":"Mark Braverman","is_ca":true},{"name":"Michael Yampolsky","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01213936361503018,"gpt":0.2661813547541859,"spread":0.2540419911391558,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001232957,0.0002053347,0.000586596,0.00002953513,0.0001756081,0.0001707805,0.002393671,0.0000442151,0.00003966562],"category_scores_gemma":[0.0001411739,0.0001227677,0.0008345048,0.0007343407,0.0003610982,0.0003898075,0.0007897022,0.0005119804,0.0000870541],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002298143,"about_ca_system_score_gemma":0.0001504624,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005125161,"about_ca_topic_score_gemma":3.952239e-7,"domain_scores_codex":[0.9977224,0.0001101539,0.0006993946,0.0002361811,0.000816052,0.0004158407],"domain_scores_gemma":[0.9975437,0.0004171514,0.0008583697,0.0007506367,0.0002157098,0.0002144632],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00006641668,0.005936111,0.005708882,0.0004274925,0.00142092,0.00006724379,0.02415071,0.04833177,0.004470976,0.03155565,0.2958952,0.5819685],"study_design_scores_gemma":[0.0005578885,0.0003092882,0.00790769,0.00008406328,0.00005459279,0.0006160869,0.0002299757,0.8728918,0.0008765234,0.1095673,0.006548947,0.0003558238],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1827332,0.00006401425,0.8003655,0.01518816,0.0003151163,0.0001609204,9.577128e-7,0.00005666619,0.00111547],"genre_scores_gemma":[0.4187443,0.00001151219,0.5785563,0.002206048,0.0003231148,0.000001832646,4.340658e-8,0.00001268524,0.0001441731],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.82456,"threshold_uncertainty_score":0.5006322,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2148818026","doi":"10.1090/s0894-0347-2011-00692-9","title":"Fluctuation exponent of the KPZ/stochastic Burgers equation","year":2011,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":88,"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; Magyar Tudományos Akadémia; Hungarian Scientific Research Fund; Wisconsin Alumni Research Foundation; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","authors":[{"name":"Márton Balázs","is_ca":false},{"name":"Jeremy Quastel","is_ca":true},{"name":"Timo Seppäläinen","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04823873996386668,"gpt":0.2342892496678047,"spread":0.186050509703938,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096156,0.0001936706,0.0007146232,0.00004719308,0.000226597,0.00002853074,0.0008457507,0.00008499985,0.0001165468],"category_scores_gemma":[0.0009441731,0.0001280662,0.001046034,0.0007849642,0.0007100126,0.0001294196,0.0001742176,0.0003863234,0.00004502209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001944565,"about_ca_system_score_gemma":0.000124792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008010273,"about_ca_topic_score_gemma":0.00000101876,"domain_scores_codex":[0.9977609,0.00002506521,0.001523817,0.0001897083,0.000233751,0.0002667377],"domain_scores_gemma":[0.9940983,0.0002846327,0.004787615,0.0005110807,0.0002242062,0.00009417604],"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":[0.00008937735,0.001081056,0.001234665,0.0002755789,0.0005105414,3.713853e-7,0.01579824,0.0004825389,0.0004838713,0.9744313,0.001280678,0.004331776],"study_design_scores_gemma":[0.0004087921,0.000214145,0.03864397,0.0002705331,0.000242895,0.00002231489,0.002034545,0.01404915,0.0003092979,0.9433914,0.0001704998,0.0002424199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1280439,0.0004349894,0.8679827,0.00205081,0.0004983974,0.0003228773,0.00003985205,0.000004721744,0.0006217285],"genre_scores_gemma":[0.9876324,0.00008269792,0.01160315,0.0003278527,0.0002005485,0.00001417029,4.314443e-7,0.00002453367,0.0001142057],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8595885,"threshold_uncertainty_score":0.5222388,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1536440589","doi":"10.1090/jams/886","title":"Mixed 3-manifolds are virtually special","year":2017,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Algorithm; Annotation; Computer science; Semantics (computer science); Artificial intelligence; Mathematics; Programming language","authors":[{"name":"Piotr Przytycki","is_ca":true},{"name":"Daniel T. Wise","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03923436087859455,"gpt":0.2973831008515054,"spread":0.2581487399729108,"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":[0.00224719,0.0005120193,0.001963281,0.00007721505,0.001222567,0.000424549,0.003393614,0.0002481,0.001086626],"category_scores_gemma":[0.007412642,0.0003160964,0.002687755,0.0003890505,0.002946806,0.0002720808,0.001083882,0.001400508,0.0002629806],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000266251,"about_ca_system_score_gemma":0.0003006387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001758991,"about_ca_topic_score_gemma":0.000007629934,"domain_scores_codex":[0.9954901,0.0003427363,0.001684789,0.0003180011,0.001382023,0.0007823049],"domain_scores_gemma":[0.9861775,0.001614053,0.00962446,0.001737899,0.0004476577,0.0003984298],"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":[0.0003384284,0.004116709,0.009678479,0.001302067,0.004898649,0.0002606999,0.009377882,0.00001909275,0.0005629596,0.3380988,0.6108624,0.02048377],"study_design_scores_gemma":[0.002642075,0.001135261,0.07550476,0.001202861,0.002132236,0.001131117,0.01936927,0.0006693213,0.0004691289,0.8808668,0.0138922,0.0009850131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9523982,0.0002253516,0.008413708,0.02498033,0.003477192,0.0004220375,0.00004009045,0.00002685879,0.01001619],"genre_scores_gemma":[0.960732,0.0002968199,0.02457648,0.001219433,0.007348334,0.000003531095,2.364141e-7,0.00009504448,0.005728053],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5969703,"threshold_uncertainty_score":0.9999291,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1535303174","doi":"10.1090/s0894-0347-06-00515-7","title":"Integral points on elliptic curves and 3-torsion in class groups","year":2006,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":76,"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":"National Science Foundation","keywords":"Mathematics; Elliptic curve; Torsion (gastropod); Schoof's algorithm; Quadratic equation; Pure mathematics; Discrete mathematics; Algebra over a field; Geometry","authors":[{"name":"H. A. Helfgott","is_ca":true},{"name":"Akshay Venkatesh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0139313228489046,"gpt":0.271875140212822,"spread":0.2579438173639174,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001255139,0.0001747698,0.0005391311,0.00004326706,0.00007635352,0.00002315784,0.0003103577,0.00005225463,0.00006114208],"category_scores_gemma":[0.0006513948,0.00009880796,0.0003838362,0.0003798437,0.0004414962,0.00009295075,0.0000972835,0.0005539032,0.00001155378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001031518,"about_ca_system_score_gemma":0.00002476714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007217408,"about_ca_topic_score_gemma":0.000001460497,"domain_scores_codex":[0.9983328,0.0002179163,0.000620526,0.000124629,0.0004609079,0.0002432088],"domain_scores_gemma":[0.9977737,0.001165974,0.0006863459,0.0002414612,0.00005562596,0.00007685936],"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":[0.0003854668,0.003264591,0.01862926,0.001768402,0.0003561098,0.00004330118,0.002952125,0.00002574964,0.002034446,0.8966829,0.07158336,0.002274324],"study_design_scores_gemma":[0.0004487633,0.0002070771,0.007228233,0.0009870197,0.00007702176,0.0001462502,0.001694369,0.0003274306,0.0005614951,0.9880472,0.000125556,0.0001495735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9941676,0.0001345504,0.001458066,0.002923302,0.00007593349,0.0001256792,0.000001517082,0.00001230661,0.001101072],"genre_scores_gemma":[0.9887303,0.00009886548,0.009698804,0.001069607,0.0001447046,0.000002222254,2.057005e-7,0.00002170995,0.0002336309],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09136435,"threshold_uncertainty_score":0.4029271,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2129280636","doi":"10.1090/s0894-0347-08-00630-9","title":"Smale’s 17th problem: Average polynomial time to compute affine and projective solutions","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":72,"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; Fundación Española para la Ciencia y la Tecnología","keywords":"Algorithm; Annotation; Type (biology); Computer science; Mathematics; Artificial intelligence","authors":[{"name":"Carlos Beltrán","is_ca":false},{"name":"Luis Miguel Pardo","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01449186396169143,"gpt":0.226689905971716,"spread":0.2121980420100246,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004209429,0.0001367118,0.0003533367,0.00003867439,0.0003211702,0.00006634728,0.0006242679,0.00002441897,0.0000142002],"category_scores_gemma":[0.00007504159,0.00008624386,0.0002736513,0.0004980961,0.0002788668,0.0002170988,0.0004888865,0.0002396554,0.00004275634],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000102786,"about_ca_system_score_gemma":0.0001702949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001262061,"about_ca_topic_score_gemma":5.350238e-7,"domain_scores_codex":[0.9987309,0.00009836847,0.0003829678,0.0001685528,0.0003523338,0.000266908],"domain_scores_gemma":[0.9988456,0.0002318069,0.000428702,0.0002092011,0.0001119771,0.0001726967],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003693812,0.003913185,0.001950153,0.0002916177,0.001918657,0.0001316195,0.08622065,0.01179258,0.03572178,0.03278253,0.5770717,0.2478362],"study_design_scores_gemma":[0.004169657,0.003941017,0.09948686,0.0006186097,0.0002465999,0.007944093,0.000557445,0.7823291,0.002032444,0.08474097,0.0120994,0.001833817],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4365972,0.00003214701,0.5487806,0.01337827,0.0001049993,0.0003071252,0.000003017589,0.00004786603,0.000748841],"genre_scores_gemma":[0.7118949,0.00001376331,0.2851069,0.001825922,0.0003409364,0.000005644688,1.762614e-7,0.00001349311,0.000798209],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7705365,"threshold_uncertainty_score":0.3516923,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1612598938","doi":"10.1090/s0894-0347-00-00348-9","title":"Mating Siegel quadratic polynomials","year":2000,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":62,"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":"National Science Foundation","keywords":"Algorithm; Annotation; Type (biology); Computer science; Mathematics; Artificial intelligence; Biology","authors":[{"name":"Michael Yampolsky","is_ca":true},{"name":"Saeed Zakeri","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02238080361503348,"gpt":0.3063786283291106,"spread":0.2839978247140771,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001775866,0.0002852854,0.001047787,0.0000292896,0.0002186015,0.0001073687,0.0008510806,0.00007795192,0.003047595],"category_scores_gemma":[0.001382111,0.0001611979,0.001254552,0.0004405889,0.0005074937,0.0001625707,0.0001069825,0.0005617537,0.0001663909],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001148647,"about_ca_system_score_gemma":0.00008338727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003287283,"about_ca_topic_score_gemma":6.567507e-7,"domain_scores_codex":[0.9968563,0.0002140054,0.001453718,0.0001704501,0.0008602972,0.0004452018],"domain_scores_gemma":[0.9955006,0.002045964,0.0015012,0.0005881684,0.0001407588,0.0002233134],"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":[0.0004689107,0.007795769,0.00139708,0.004203799,0.004112086,0.00009564289,0.02462114,0.0003985793,0.01784543,0.5813192,0.2179912,0.1397512],"study_design_scores_gemma":[0.0004317047,0.0001605824,0.000335245,0.0003664127,0.0002485181,0.0003106648,0.000974685,0.01059018,0.0002774365,0.9851361,0.000880995,0.0002875037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9632366,0.00004961649,0.01906035,0.004201619,0.0001055999,0.0003350268,0.000008926055,0.00004852,0.01295369],"genre_scores_gemma":[0.752739,0.00009481613,0.2403206,0.001873,0.0004937999,0.00001181377,3.574863e-7,0.0001017056,0.004364965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4038169,"threshold_uncertainty_score":0.9978638,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2409246750","doi":"10.1090/jams/929","title":"Tsirelson’s problem and an embedding theorem for groups arising from non-local games","year":2019,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Embedding; Embedding problem; Construct (python library); Operator (biology); State (computer science); Group (periodic table)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02187607535711865,"gpt":0.3553276216231072,"spread":0.3334515462659885,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001382162,0.000232556,0.0007689382,0.0000289207,0.0001833636,0.000121601,0.0005797126,0.00007492776,0.00005011027],"category_scores_gemma":[0.0005651281,0.000137205,0.0004736102,0.0002126323,0.000537136,0.0003331876,0.0002225555,0.0005688102,0.000006966687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000172561,"about_ca_system_score_gemma":0.00008967578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005102293,"about_ca_topic_score_gemma":0.000001324622,"domain_scores_codex":[0.9978921,0.0001480716,0.0006569968,0.0002453017,0.0006399559,0.0004175687],"domain_scores_gemma":[0.9958663,0.002493327,0.0007707444,0.0004481165,0.0002116281,0.0002098644],"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":[0.00172815,0.004149107,0.01278128,0.004069628,0.004300575,0.00003318989,0.07832699,0.002424094,0.1239389,0.6505848,0.01612206,0.1015413],"study_design_scores_gemma":[0.0008445559,0.0004319014,0.0003642309,0.0003333252,0.0001208592,0.00005468691,0.01035316,0.05951465,0.001560149,0.9260983,0.0000947653,0.0002293611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7494847,0.00003270203,0.2491556,0.0006209174,0.00005594995,0.0004474906,0.000007976317,0.00001754646,0.0001771614],"genre_scores_gemma":[0.6392941,0.00001998912,0.3601395,0.0002286721,0.0001791735,0.000009530841,3.911708e-7,0.0000506406,0.00007801319],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2755136,"threshold_uncertainty_score":0.5595059,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1972566807","doi":"10.1090/s0894-0347-2012-00756-5","title":"Lagrangian cobordism. I","year":2012,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Cobordism; Mathematics; Lagrangian; Monotone polygon; Floer homology; Pure mathematics; Homology (biology); Class (philosophy); Functor; Symplectic geometry; Geometry; Computer science","authors":[{"name":"Paul Biran","is_ca":false},{"name":"Octav Cornea","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02760799407083971,"gpt":0.3118931982972398,"spread":0.2842852042264001,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001221047,0.0001397393,0.0005187199,0.00003475937,0.0001131951,0.00001629746,0.0004754692,0.00004922596,0.0002581537],"category_scores_gemma":[0.001165362,0.0000741424,0.0007853147,0.0005875714,0.0004763059,0.0001118962,0.0001245498,0.0003784366,0.00004414828],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006779613,"about_ca_system_score_gemma":0.00003919569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002701158,"about_ca_topic_score_gemma":1.580916e-7,"domain_scores_codex":[0.9984323,0.0001256848,0.0005250475,0.00006607447,0.0004557756,0.000395066],"domain_scores_gemma":[0.9974589,0.001031138,0.0009242565,0.0002932595,0.00009383973,0.0001985791],"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":[0.00005791437,0.00229833,0.02263927,0.0003172297,0.00123849,0.000006477995,0.0107202,0.000004261599,0.001290001,0.6129979,0.3387904,0.009639462],"study_design_scores_gemma":[0.0007467028,0.0002424387,0.01825516,0.00009873738,0.0004969072,0.000807105,0.006935623,0.00008314325,0.0007011374,0.9561352,0.01514816,0.0003496722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9594398,0.0002221832,0.02883708,0.006598677,0.0004195092,0.0001401891,0.000002822053,0.00002901908,0.004310791],"genre_scores_gemma":[0.9462283,0.00002102315,0.05157395,0.001139031,0.000469437,0.000001685946,6.415794e-8,0.0000214369,0.0005450244],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3431373,"threshold_uncertainty_score":0.3023439,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2114619383","doi":"10.1090/s0894-0347-04-00467-9","title":"Dimension and randomness in groups acting on rooted trees","year":2004,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Hungarian Scientific Research Fund; National Science Foundation","keywords":"Dimension (graph theory); Annotation; Type (biology); Algorithm; Mathematics; Tree (set theory); Semantics (computer science); Computer science; Artificial intelligence; Combinatorics; Programming language; Biology","authors":[{"name":"Miklós Abért","is_ca":false},{"name":"Bálint Virág","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02119510195448791,"gpt":0.294778382427428,"spread":0.2735832804729401,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008935691,0.0001356191,0.0005700686,0.00006025793,0.0000899263,0.00001868617,0.0002105127,0.00004962877,0.00001639651],"category_scores_gemma":[0.001500213,0.00007425282,0.000289601,0.0005064297,0.0003090028,0.0000614085,0.00008728804,0.0004232975,0.000003061035],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009940195,"about_ca_system_score_gemma":0.00003529919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001020054,"about_ca_topic_score_gemma":0.000003466406,"domain_scores_codex":[0.9987289,0.0001060116,0.0005054114,0.0001074144,0.0003320767,0.0002201681],"domain_scores_gemma":[0.9975928,0.001431743,0.0006778658,0.0001742262,0.00004487964,0.00007845545],"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":[0.002148917,0.01020867,0.02375767,0.001392368,0.002134721,0.0002819833,0.07130469,0.001985425,0.01872433,0.7726037,0.006804095,0.08865346],"study_design_scores_gemma":[0.004048832,0.0004073968,0.01382552,0.0004016022,0.0001038872,0.0002657565,0.00575396,0.0002273506,0.0008728139,0.9738634,0.00004228573,0.0001872537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9908114,0.00003465287,0.00557862,0.003168297,0.00006463644,0.0001128416,5.501593e-7,0.00001022078,0.0002187613],"genre_scores_gemma":[0.9871159,0.00002989777,0.01234669,0.0003865517,0.00006900711,0.000001659006,4.329683e-8,0.0000144727,0.00003577599],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2012597,"threshold_uncertainty_score":0.3027942,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3041080890","doi":"10.1090/jams/952","title":"Tame topology of arithmetic quotients and algebraicity of Hodge loci","year":2020,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":57,"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":"Agence Nationale de la Recherche","keywords":"Algorithm; Type (biology); Annotation; Artificial intelligence; Mathematics; Computer science; Biology","authors":[{"name":"Benjamin Bakker","is_ca":false},{"name":"Bruno Klingler","is_ca":false},{"name":"Jacob Tsimerman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02652130948398573,"gpt":0.2876320682969407,"spread":0.261110758812955,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008806581,0.0001558971,0.000918122,0.00002410587,0.00005350451,0.000007183998,0.0004555143,0.00006391402,0.0001274419],"category_scores_gemma":[0.00189014,0.00009666126,0.0005507332,0.0004164654,0.001306186,0.00006507536,0.0002328142,0.0003664878,0.000002702082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002479742,"about_ca_system_score_gemma":0.00004979757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004027205,"about_ca_topic_score_gemma":1.35648e-7,"domain_scores_codex":[0.9981557,0.0002213972,0.0008552663,0.0001204258,0.0004479781,0.0001992123],"domain_scores_gemma":[0.9965448,0.001226518,0.001669462,0.0002428281,0.0001621957,0.0001541547],"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":[0.001007,0.003999331,0.02517967,0.006778654,0.004373603,0.00002460718,0.06037796,0.00003557166,0.0323391,0.8317665,0.02557549,0.008542462],"study_design_scores_gemma":[0.0008425552,0.0008303245,0.00435708,0.0001594472,0.0004214706,0.0001407793,0.006221352,0.0004745942,0.0102141,0.9760397,0.0001085681,0.000190038],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9796566,0.00007679871,0.01694675,0.002792427,0.00004429193,0.0001178299,0.000007160492,0.000007872107,0.0003502284],"genre_scores_gemma":[0.9725931,0.00003321381,0.0265161,0.0007279132,0.00007148214,8.294585e-7,1.120601e-7,0.00001657286,0.00004072303],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1442731,"threshold_uncertainty_score":0.4812696,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1765206433","doi":"10.1090/jams/847","title":"Sums of squares and varieties of minimal degree","year":2015,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","authors":[{"name":"Grigoriy Blekherman","is_ca":false},{"name":"Gregory G. Smith","is_ca":true},{"name":"Mauricio Velasco","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0404936369183584,"gpt":0.2710530456225148,"spread":0.2305594087041564,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001104143,0.0001558617,0.0007003208,0.00003162973,0.00005781294,0.0000520731,0.0007765221,0.00004587236,0.000007119831],"category_scores_gemma":[0.0004179904,0.0000944347,0.0004870952,0.0004019573,0.00125398,0.0001971692,0.0004518412,0.0002498023,0.000001877682],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004645815,"about_ca_system_score_gemma":0.0003152174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004054324,"about_ca_topic_score_gemma":6.34432e-7,"domain_scores_codex":[0.9979098,0.00017519,0.0008645408,0.0001251841,0.0007235768,0.0002017522],"domain_scores_gemma":[0.9965898,0.0006080333,0.001985591,0.0002684965,0.0003639369,0.0001841318],"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":[0.001150265,0.003878919,0.01868502,0.003642144,0.003597044,0.00003204526,0.2393715,0.001391296,0.03573399,0.3419143,0.06361387,0.2869896],"study_design_scores_gemma":[0.002744967,0.00509686,0.07409343,0.001091056,0.0006834214,0.0005869112,0.01700501,0.1371741,0.01202902,0.7482454,0.0005821382,0.0006677221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9130132,0.0005504954,0.08309513,0.002778157,0.0002265837,0.00008471536,0.000004279344,0.000004977303,0.0002425031],"genre_scores_gemma":[0.9580649,0.00004699305,0.0415142,0.0001616339,0.0001244807,4.239891e-7,5.483403e-8,0.000007706163,0.00007961416],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4063311,"threshold_uncertainty_score":0.4620342,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2345530030","doi":"10.1090/jams/861","title":"Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-functions","year":2016,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Galois module; Modular form; Elliptic curve; Pure mathematics; Cohomology; Dimension (graph theory); Diagonal; Order (exchange); Rank (graph theory); Euler's formula; Shimura variety; Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Henri Darmon","is_ca":true},{"name":"Víctor Rotger","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02292805782313775,"gpt":0.2832406272231265,"spread":0.2603125693999888,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001634592,0.0002010179,0.0005323516,0.00002425203,0.0005155759,0.00006743833,0.0003065627,0.00007281364,0.00005163504],"category_scores_gemma":[0.001502788,0.00007738329,0.0004106251,0.0001908494,0.0009635932,0.0001142711,0.0001737733,0.0002781192,0.000004177329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004348544,"about_ca_system_score_gemma":0.00004996132,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002730263,"about_ca_topic_score_gemma":5.40014e-7,"domain_scores_codex":[0.9984568,0.0001859527,0.0005539287,0.0001572472,0.0003574953,0.000288539],"domain_scores_gemma":[0.9928753,0.005809756,0.0007459919,0.0003009872,0.0001358515,0.000132113],"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":[0.0006513224,0.001550177,0.008388792,0.001597065,0.004403735,0.000008843116,0.0162867,0.00002030737,0.02044022,0.6927811,0.2366697,0.01720205],"study_design_scores_gemma":[0.001601344,0.0005120834,0.003648286,0.000527403,0.0006651329,0.0008754256,0.007882403,0.0005263647,0.0008084958,0.9748355,0.007756104,0.0003615002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.937655,0.0002611543,0.04531517,0.01601469,0.0002217384,0.000342717,0.0000240703,0.00002082054,0.0001445879],"genre_scores_gemma":[0.9928908,0.0000670552,0.004973136,0.0004662246,0.000397284,0.00002449333,1.495227e-7,0.00003316062,0.001147709],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2820544,"threshold_uncertainty_score":0.3965445,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020574481","doi":"10.1090/s0894-0347-2011-00704-2","title":"On the “main conjecture” of equivariant Iwasawa theory","year":2011,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Conjecture; Equivariant map; Annotation; Mathematics; Semantics (computer science); Algorithm; Algebra over a field; Computer science; Pure mathematics; Artificial intelligence; Programming language","authors":[{"name":"Jürgen Ritter","is_ca":false},{"name":"Alfred Weiss","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0427049357799708,"gpt":0.2807092991085649,"spread":0.2380043633285941,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001750522,0.0001963991,0.0006070299,0.00001789458,0.0001314222,0.00001758981,0.0009594781,0.00006354663,0.0004369251],"category_scores_gemma":[0.001415806,0.00008160404,0.0009229879,0.0002489662,0.0007461435,0.0000433797,0.0001665769,0.0005216207,0.00000438981],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000628673,"about_ca_system_score_gemma":0.00009202455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005203148,"about_ca_topic_score_gemma":1.931105e-7,"domain_scores_codex":[0.9979545,0.0003536774,0.0006960299,0.0001096514,0.0006389323,0.0002472296],"domain_scores_gemma":[0.9949403,0.002796365,0.001487548,0.0005789211,0.0001118815,0.00008503205],"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":[0.00008544385,0.0001777223,0.000016176,0.00003551668,0.0002903914,0.000001903211,0.003739717,0.000002908176,0.0002400016,0.9917338,0.003505953,0.0001704806],"study_design_scores_gemma":[0.0002689156,0.0003078237,0.000239385,0.0001149826,0.0001606508,0.00006481192,0.001854251,0.00006722359,0.001683923,0.9951133,0.00002460148,0.000100205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.972071,0.00004071843,0.02143832,0.001264276,0.0003611055,0.0002641368,0.000004463745,0.00001456047,0.004541431],"genre_scores_gemma":[0.9906966,0.00001055819,0.008177398,0.0008461024,0.0001353144,0.000003366378,3.073357e-8,0.0000270637,0.0001035326],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01862565,"threshold_uncertainty_score":0.4784023,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023523124","doi":"10.1090/s0894-0347-07-00583-8","title":"Hausdorff dimension and conformal measures of Feigenbaum Julia sets","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":46,"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; Institut Henri Poincaré; University of Toronto; State University of New York; John Simon Guggenheim Memorial Foundation; National Science Foundation","keywords":"Julia set; Hausdorff dimension; Mathematics; Conformal map; Dimension (graph theory); Exponent; Combinatorics; Scaling; Hausdorff space; Hausdorff measure; Mathematical analysis; Geometry","authors":[{"name":"Artur Avila","is_ca":false},{"name":"Mikhail Lyubich","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03584296976449792,"gpt":0.3175662412980561,"spread":0.2817232715335582,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003097831,0.0002106483,0.0008589327,0.00003998795,0.0001159517,0.00002911653,0.0003730477,0.00008083579,0.00004986015],"category_scores_gemma":[0.001233383,0.0001177585,0.0006079961,0.0002635462,0.0007183421,0.0001103533,0.0001847175,0.0004013134,0.000003557591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005460195,"about_ca_system_score_gemma":0.00005193485,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004160974,"about_ca_topic_score_gemma":0.000001337487,"domain_scores_codex":[0.9974207,0.00007527,0.001207015,0.0001172348,0.0008432735,0.0003364514],"domain_scores_gemma":[0.9959357,0.001523204,0.001711364,0.0003415182,0.000279844,0.0002083604],"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":[0.0009599915,0.004367409,0.006615547,0.004870964,0.003384729,0.00006729336,0.0289574,0.00004517448,0.0697392,0.7997714,0.02950193,0.05171891],"study_design_scores_gemma":[0.001026782,0.0004897675,0.005873288,0.0005874388,0.0003864522,0.0005005402,0.004377021,0.006045689,0.005371941,0.9743435,0.0006130276,0.0003845108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9329941,0.00007397486,0.06407902,0.0006798462,0.00008664891,0.0002104406,0.000005849569,0.00001363782,0.001856445],"genre_scores_gemma":[0.920531,0.00005114347,0.07890488,0.0002829095,0.0000633738,9.72193e-7,1.673957e-7,0.00002710382,0.0001384806],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1745721,"threshold_uncertainty_score":0.480205,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3081065211","doi":"10.1090/jams/945","title":"Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves","year":2020,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":46,"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":"Japan Society for the Promotion of Science; National Security Agency; Simons Foundation; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","authors":[{"name":"Manjul Bhargava","is_ca":false},{"name":"Arul Shankar","is_ca":true},{"name":"Takashi Taniguchi","is_ca":false},{"name":"Frank Thorne","is_ca":false},{"name":"Jacob Tsimerman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02540884655433125,"gpt":0.2937092634223126,"spread":0.2683004168679813,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009257587,0.000168319,0.0006355219,0.00002219922,0.00005006161,0.00001467977,0.0003316867,0.00006663962,0.0001535792],"category_scores_gemma":[0.001445639,0.0000983298,0.0004106553,0.0003706874,0.0003843769,0.00006945189,0.0001050151,0.0006747911,0.00001537442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005390201,"about_ca_system_score_gemma":0.00002951322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002190929,"about_ca_topic_score_gemma":3.004629e-7,"domain_scores_codex":[0.9983391,0.0002130576,0.0006285104,0.0001285098,0.0005012547,0.0001895438],"domain_scores_gemma":[0.9974757,0.001402769,0.0007242855,0.0002131069,0.00005761753,0.0001264537],"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":[0.002265477,0.004842106,0.02266195,0.00651108,0.0013166,0.00005714823,0.03578224,0.0000482953,0.00215132,0.8132267,0.1068128,0.004324327],"study_design_scores_gemma":[0.001063067,0.001325958,0.004347187,0.002428394,0.0001774534,0.00009887527,0.005186562,0.001078803,0.002355348,0.9814579,0.0001973782,0.0002830864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9889065,0.00003578666,0.001196126,0.008322876,0.00006040747,0.00011636,0.000002382108,0.000008350848,0.001351209],"genre_scores_gemma":[0.9914984,0.0001094726,0.004251025,0.003959505,0.0000948683,0.000001445539,1.501404e-7,0.00001786202,0.00006728665],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1682312,"threshold_uncertainty_score":0.4009773,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2592077198","doi":"10.1090/s0894-0347-02-00399-5","title":"Derived Hilbert schemes","year":2002,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":46,"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":"Algorithm; Annotation; Artificial intelligence; Type (biology); Mathematics; Computer science; Biology","authors":[{"name":"Ionuţ Ciocan-Fontanine","is_ca":false},{"name":"Mikhail Kapranov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03086392589963287,"gpt":0.2825548638672515,"spread":0.2516909379676187,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008456089,0.0001844234,0.0005760529,0.00002462355,0.0001672171,0.00003405428,0.0006571205,0.00005339293,0.001071598],"category_scores_gemma":[0.001359936,0.0001043484,0.0009364909,0.0004489197,0.0005879039,0.0001216189,0.0001472264,0.0004772461,0.00008167434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007407602,"about_ca_system_score_gemma":0.00001981092,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.663295e-7,"about_ca_topic_score_gemma":8.025712e-8,"domain_scores_codex":[0.9982278,0.0001557809,0.0006303725,0.0001147924,0.0005749143,0.0002962914],"domain_scores_gemma":[0.9971007,0.001180618,0.001025819,0.0004189378,0.0001282121,0.0001457227],"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":[0.0001808431,0.004644291,0.003392471,0.0009677805,0.003705633,0.00005393973,0.02135012,0.00001491835,0.01895154,0.4902958,0.4335679,0.02287482],"study_design_scores_gemma":[0.0005466287,0.0001554821,0.0004830644,0.0001614045,0.0002454905,0.0004792338,0.002226899,0.0006145611,0.004247262,0.9864667,0.004114792,0.0002585019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9779894,0.0001427949,0.01232865,0.004333534,0.0001439006,0.0001210304,0.000001561671,0.00003309334,0.004905996],"genre_scores_gemma":[0.9384503,0.00006586701,0.05813921,0.001275811,0.0002712125,0.000002785679,5.354093e-8,0.00003376551,0.00176096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4961709,"threshold_uncertainty_score":0.9998416,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3169644112","doi":"10.1090/jams/1023","title":"Minimal nondegenerate extensions","year":2023,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Perimeter Institute; Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; American Institute of Mathematics; Simons Foundation","keywords":"Mathematics; Pure mathematics","authors":[{"name":"Theo Johnson-Freyd","is_ca":true},{"name":"David Reutter","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03893799204567529,"gpt":0.3183793262323648,"spread":0.2794413341866895,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006776552,0.000155972,0.0005025771,0.00002785504,0.0001898908,0.0000374897,0.0005338711,0.00004809662,0.00007209099],"category_scores_gemma":[0.0007148505,0.00008461763,0.0008333471,0.0006575095,0.0002980757,0.00006308078,0.0002069047,0.0003501855,0.00002988285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000564978,"about_ca_system_score_gemma":0.00008322953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001765329,"about_ca_topic_score_gemma":1.924561e-7,"domain_scores_codex":[0.9983205,0.00009667073,0.0005638178,0.000114128,0.0006118729,0.0002930794],"domain_scores_gemma":[0.9978489,0.0007379039,0.0007613483,0.0003594747,0.0001630883,0.0001292959],"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":[0.00005987389,0.0002422648,0.0002333816,0.0001162885,0.0005094818,0.00002122185,0.002912436,0.00008344957,0.00478818,0.7971272,0.1924036,0.001502642],"study_design_scores_gemma":[0.0002623463,0.00009300937,0.000848698,0.00005644065,0.0001046372,0.00008535448,0.0009703385,0.001178031,0.0006387502,0.9952199,0.0004257903,0.0001167228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9943513,0.00001901261,0.001790147,0.002846927,0.0004661243,0.000102894,0.000002198244,0.00004534663,0.0003760321],"genre_scores_gemma":[0.9812606,0.00003446603,0.01692385,0.000604151,0.0004698242,0.000003713979,1.512782e-7,0.00003511818,0.0006681473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1980927,"threshold_uncertainty_score":0.3450606,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2340671844","doi":"10.1090/jams/1029","title":"Bordered Floer homology for manifolds with torus boundary via immersed curves","year":2023,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Canada Research Chairs","keywords":"Algorithm; Artificial intelligence; Computer science; Mathematics","authors":[{"name":"Jonathan Hanselman","is_ca":false},{"name":"Jacob Rasmussen","is_ca":false},{"name":"Liam Watson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0225973009826072,"gpt":0.2987359264998574,"spread":0.2761386255172502,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002170068,0.0005006951,0.001838643,0.0001459872,0.0004623653,0.00007528852,0.001136581,0.0002080384,0.0004181466],"category_scores_gemma":[0.001467433,0.0002951221,0.001703742,0.002061613,0.001940628,0.0001326778,0.0003254713,0.0008457185,0.000108931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002057547,"about_ca_system_score_gemma":0.0004711419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002077946,"about_ca_topic_score_gemma":0.000003238532,"domain_scores_codex":[0.9959509,0.0003263252,0.001442639,0.0003505722,0.0009178561,0.001011734],"domain_scores_gemma":[0.9923563,0.003492427,0.002654659,0.0007358993,0.000467375,0.0002933319],"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":[0.001092831,0.003177992,0.001648406,0.009451156,0.009805774,0.0002035775,0.0105361,0.00006949958,0.002033768,0.03833588,0.9120389,0.01160614],"study_design_scores_gemma":[0.007684645,0.007311587,0.007753137,0.003074565,0.005931968,0.003994634,0.02828366,0.006299497,0.0007888037,0.8999509,0.02706929,0.001857331],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7774253,0.002760858,0.1478467,0.06633182,0.001787752,0.00221088,0.0001434448,0.0001627455,0.001330441],"genre_scores_gemma":[0.8529289,0.003710218,0.1156223,0.01168847,0.002090851,0.0001249798,0.00001396794,0.0004529171,0.01336747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8849696,"threshold_uncertainty_score":0.9999501,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3037102833","doi":"10.1090/s0894-0347-06-00522-4","title":"Cayley groups","year":2006,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":43,"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; Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Academy of Sciences; Russian Foundation for Fundamental Investigations","keywords":"Algorithm; Artificial intelligence; Computer science","authors":[{"name":"Nicole Lemire","is_ca":true},{"name":"Vladimir L. Popov","is_ca":false},{"name":"Zinovy Reichstein","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01804938291744192,"gpt":0.2948549867543321,"spread":0.2768056038368902,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001231792,0.0004831787,0.001425765,0.00004422124,0.0003162061,0.0001267538,0.001490932,0.0001606021,0.0002849908],"category_scores_gemma":[0.001180674,0.0003033365,0.002257417,0.0007607663,0.001583956,0.0002202254,0.0004602167,0.001473557,0.0001124632],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005140721,"about_ca_system_score_gemma":0.0002020913,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000207484,"about_ca_topic_score_gemma":0.000004198313,"domain_scores_codex":[0.9953082,0.000306389,0.001943461,0.0002749248,0.001464104,0.0007029584],"domain_scores_gemma":[0.9924067,0.001799337,0.004174776,0.001016313,0.000387911,0.0002149374],"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":[0.00007737386,0.00214086,0.001621857,0.0009028434,0.0009531224,0.00005093954,0.002557863,0.0001349717,0.002574228,0.8928323,0.09413303,0.002020572],"study_design_scores_gemma":[0.0006327257,0.0002073321,0.001155982,0.0004732752,0.0005590706,0.0004386991,0.002644217,0.0006351932,0.0009673839,0.9890937,0.002827401,0.0003650227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8877537,0.0006762748,0.09542584,0.008385058,0.001035409,0.0005053062,0.00002460096,0.0000577876,0.006136036],"genre_scores_gemma":[0.6869045,0.0001867415,0.3044053,0.001461278,0.002826892,0.000006713967,6.430451e-7,0.0001635672,0.004044407],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2089794,"threshold_uncertainty_score":0.9999419,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1527741953","doi":"10.1090/s0894-0347-04-00460-6","title":"Cycles representing the Todd class of a toric variety","year":2004,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of New Brunswick","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Mathematics; Machine learning","authors":[{"name":"James Pommersheim","is_ca":false},{"name":"Hugh Thomas","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02370176847216563,"gpt":0.3008933160479532,"spread":0.2771915475757875,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002365673,0.0001785936,0.0006237353,0.00002147601,0.0002219257,0.00003266952,0.0009143924,0.00005923376,0.00006965902],"category_scores_gemma":[0.002102911,0.00008604921,0.001114551,0.0006719913,0.0008441861,0.000110332,0.0002666722,0.0005826256,0.000007578266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001099865,"about_ca_system_score_gemma":0.0001026496,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001077312,"about_ca_topic_score_gemma":4.556117e-7,"domain_scores_codex":[0.9977196,0.0002133949,0.0008965051,0.0001274732,0.0007525145,0.0002905247],"domain_scores_gemma":[0.9953143,0.00193785,0.001845624,0.0006244443,0.0001864459,0.00009131232],"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":[0.0002064015,0.002173946,0.002138044,0.0008591781,0.002316582,0.00001688312,0.02313431,0.0004480881,0.008335389,0.9350174,0.02226444,0.003089334],"study_design_scores_gemma":[0.0003871526,0.00009682995,0.001332868,0.0001774046,0.0002305615,0.0002090651,0.004903892,0.00008415622,0.003091891,0.9890826,0.0002864459,0.0001170716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9657381,0.0001048037,0.02693806,0.004790299,0.0001698807,0.0001764562,0.000002425991,0.00002000503,0.002059935],"genre_scores_gemma":[0.9678139,0.00003927845,0.03116056,0.0004862144,0.0002702472,0.000003001284,6.79421e-8,0.00002564761,0.0002010826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05406525,"threshold_uncertainty_score":0.3508985,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2055452157","doi":"10.1090/s0894-0347-2014-00786-4","title":"Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields","year":2014,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"McMaster University","keywords":"Mathematics; Unitary state; Divisibility rule; Iwasawa theory; Congruence (geometry); Pure mathematics; Conjecture; Congruence relation; Algebra over a field; Geometry; Law","authors":[{"name":"Ming-Lun Hsieh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01617036077338443,"gpt":0.2954514240136419,"spread":0.2792810632402575,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008031566,0.0001745785,0.0005339923,0.00002602943,0.0001563089,0.00002979819,0.0003175813,0.00006148422,0.00001993138],"category_scores_gemma":[0.001880102,0.00009850902,0.0004054961,0.0001787722,0.0004387663,0.00006723416,0.00007970247,0.0003661852,0.000002146656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004346418,"about_ca_system_score_gemma":0.0000276483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.46612e-7,"about_ca_topic_score_gemma":9.047631e-7,"domain_scores_codex":[0.9987622,0.00009025363,0.0004461254,0.0001306326,0.0003217945,0.0002489584],"domain_scores_gemma":[0.9953163,0.003540157,0.0006297368,0.0002889119,0.0001012488,0.0001236476],"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":[0.0003357978,0.0006197664,0.0005972853,0.0009535204,0.0006194325,0.000009982275,0.003086558,0.0002006767,0.002802124,0.9381282,0.04036655,0.01228007],"study_design_scores_gemma":[0.0005386876,0.000464157,0.0007328139,0.0001418006,0.00009894725,0.0001215556,0.001292405,0.001311702,0.0007594688,0.9939635,0.0004224634,0.0001524883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8478334,0.00003037563,0.1468691,0.004564927,0.0001075404,0.0002070507,0.00001001162,0.00001648693,0.0003611598],"genre_scores_gemma":[0.930796,0.00002684479,0.06542956,0.003324524,0.0002473927,0.000004616887,2.240002e-7,0.00002486202,0.0001459523],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08296265,"threshold_uncertainty_score":0.4017081,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2025131206","doi":"10.1090/s0894-0347-02-00418-6","title":"Obstructions to nonnegative curvature and rational homotopy theory","year":2002,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"McMaster University; California Institute of Technology","keywords":"Annotation; Algorithm; Mathematics; Type (biology); Artificial intelligence; Computer science; Biology","authors":[{"name":"Igor Belegradek","is_ca":false},{"name":"Vitali Kapovitch","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02275606279336224,"gpt":0.2944715619152298,"spread":0.2717154991218675,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006307384,0.0001528397,0.0004599861,0.00003047413,0.0002419988,0.00002456202,0.000348988,0.0000765622,0.0005658371],"category_scores_gemma":[0.001434004,0.00009140336,0.0003427945,0.0003080607,0.0009124565,0.00008293807,0.0001235894,0.0005218036,0.00002165995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005747271,"about_ca_system_score_gemma":0.00002610181,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.353308e-7,"about_ca_topic_score_gemma":7.830965e-7,"domain_scores_codex":[0.9986296,0.0002617259,0.0004585448,0.0001303537,0.0002981833,0.0002216168],"domain_scores_gemma":[0.9972845,0.001647752,0.0005313183,0.0002562471,0.0001364234,0.0001438058],"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":[0.00004284831,0.0003790066,0.0006730863,0.00005294686,0.0005521151,0.000009248841,0.01174362,0.00000704049,0.0008571051,0.9478166,0.03394936,0.003917053],"study_design_scores_gemma":[0.0002524699,0.0001890334,0.001726167,0.00004287109,0.0001378868,0.0007456113,0.002039569,0.0001969341,0.0002642624,0.9935384,0.000744603,0.0001222424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9420874,0.0001218347,0.03510133,0.0198636,0.0002608084,0.0002705437,0.000009710724,0.00002693968,0.002257884],"genre_scores_gemma":[0.8715031,0.00004383592,0.1234873,0.003068211,0.0003476854,0.00001303192,1.327885e-7,0.00002500187,0.001511694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08838599,"threshold_uncertainty_score":0.619552,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3023396894","doi":"10.1090/jams/1009","title":"Lagrangian geometry of matroids","year":2022,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":36,"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; Institute for Advanced Study; Simons Foundation; National Science Foundation","keywords":"Algorithm; Annotation; Artificial intelligence; Type (biology); Computer science; Mathematics; Geology","authors":[{"name":"Federico Ardila","is_ca":false},{"name":"Graham Denham","is_ca":true},{"name":"June Huh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01915014337464484,"gpt":0.3026412852255677,"spread":0.2834911418509229,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001743572,0.0002065143,0.0009290168,0.00006473163,0.0002403309,0.00001635135,0.001216476,0.0000334092,0.0002572527],"category_scores_gemma":[0.001338894,0.0001364211,0.001191782,0.001044243,0.0004542396,0.00009413244,0.0005943858,0.0007342209,0.000004151485],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002504415,"about_ca_system_score_gemma":0.0001196331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002106537,"about_ca_topic_score_gemma":1.132293e-7,"domain_scores_codex":[0.9967601,0.0002491132,0.001194427,0.0001284413,0.001355385,0.0003125037],"domain_scores_gemma":[0.994637,0.001598328,0.002807951,0.0006290691,0.0002117546,0.0001158742],"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":[0.0002077179,0.003296668,0.0008670826,0.001173511,0.001243865,0.0000200474,0.008403078,0.0004198597,0.0121207,0.9282548,0.0418429,0.002149809],"study_design_scores_gemma":[0.0005343951,0.0003925091,0.0001308738,0.00007139696,0.0002140412,0.0002588242,0.005005978,0.0003440604,0.001265288,0.9906812,0.0009324143,0.0001690275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9659714,0.00009707519,0.03019177,0.001592864,0.000526193,0.0003237744,0.00001848459,0.00003784068,0.001240644],"genre_scores_gemma":[0.8490004,0.00001477784,0.1500947,0.0002838651,0.0001608781,0.0000117459,1.951447e-7,0.00006173345,0.0003717268],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1199029,"threshold_uncertainty_score":0.556309,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1980936214","doi":"10.1090/s0894-0347-08-00627-9","title":"Rotation numbers for quasiperiodically forced circle maps-mode-locking vs. strict monotonicity","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":34,"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":"Deutsche Forschungsgemeinschaft","keywords":"Monotonic function; Mathematics; Algorithm; Type (biology); Rotation (mathematics); Fibered knot; Rotation number; Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"Kristian Bjerklöv","is_ca":true},{"name":"Tobias Jäger","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02715978659896287,"gpt":0.3130588625716501,"spread":0.2858990759726872,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001534411,0.0002928284,0.001074705,0.00004302586,0.0004635956,0.0000726252,0.0007402556,0.0001166025,0.0000557974],"category_scores_gemma":[0.003246878,0.0001981555,0.001567428,0.0004176683,0.0005954028,0.0001925006,0.0001363379,0.0005198388,0.000009550982],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002287103,"about_ca_system_score_gemma":0.0001802892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001008695,"about_ca_topic_score_gemma":0.00000177015,"domain_scores_codex":[0.996811,0.000165363,0.00135561,0.0002334019,0.0009327404,0.0005019297],"domain_scores_gemma":[0.994047,0.002866094,0.001954697,0.000500473,0.0003811728,0.000250538],"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":[0.002499308,0.009716203,0.005983875,0.006160971,0.005221364,0.00008707389,0.04596362,0.001451478,0.01935609,0.761817,0.1211268,0.02061613],"study_design_scores_gemma":[0.001503974,0.0005112483,0.001708464,0.0003137459,0.0003448516,0.0003947912,0.001437156,0.07027999,0.0007622457,0.9217506,0.0005145358,0.0004784198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6360748,0.0000130163,0.360994,0.001560118,0.00009525957,0.0005698068,0.00002212867,0.00003677992,0.0006340332],"genre_scores_gemma":[0.7844313,0.00004927665,0.2143446,0.0006625091,0.0001756601,0.00003176792,0.000001448911,0.00006235537,0.0002411434],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1599335,"threshold_uncertainty_score":0.8080549,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1908576406","doi":"10.1090/s0894-0347-00-00354-4","title":"Double affine Hecke algebras and 2-dimensional local fields","year":2000,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Annotation; Type (biology); Mathematics; Computer science; Artificial intelligence; Algebra over a field; Pure mathematics","authors":[{"name":"Mikhail Kapranov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01646056464678372,"gpt":0.2760516408060957,"spread":0.259591076159312,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003898391,0.0001742499,0.0005123513,0.00001270511,0.0001495747,0.00003856339,0.0003374425,0.00007220775,0.0009677494],"category_scores_gemma":[0.00007526404,0.0000978378,0.0004523719,0.0001865874,0.0004858089,0.00008341075,0.0001042284,0.0004177011,0.00001127099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005369398,"about_ca_system_score_gemma":0.00005804607,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001123894,"about_ca_topic_score_gemma":6.88109e-7,"domain_scores_codex":[0.9985339,0.00005833329,0.0005107864,0.0001278276,0.0005310003,0.000238152],"domain_scores_gemma":[0.998684,0.0004191676,0.0004015528,0.0002682645,0.00008349513,0.0001435544],"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":[0.0007170904,0.0008232798,0.0003276972,0.0002516694,0.0009944465,0.0000219452,0.003597351,0.0003846633,0.0002988936,0.8954707,0.06834649,0.02876577],"study_design_scores_gemma":[0.0008628608,0.0001686218,0.0003009403,0.00007078762,0.0001148362,0.0002714156,0.0002870652,0.00102146,0.0002569135,0.995743,0.0007613046,0.000140734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9930172,0.00008085238,0.003141986,0.002523064,0.000138225,0.000109234,0.000001024736,0.00001643773,0.000972005],"genre_scores_gemma":[0.9849702,0.00003466754,0.01251071,0.0009896737,0.0002732814,0.000002207021,1.049845e-7,0.00002208303,0.001197123],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1002724,"threshold_uncertainty_score":0.9999455,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1660325762","doi":"10.1090/jams/862","title":"A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups","year":2016,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Algebraically closed field; Reductive group; Upper and lower bounds; Mod; Group (periodic table); Field (mathematics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.0437844973416206,"gpt":0.3523937448497916,"spread":0.308609247508171,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005849561,0.00013176,0.00059234,0.00006068293,0.00006469559,0.000006749602,0.0004386688,0.00004539578,0.0001020309],"category_scores_gemma":[0.00225346,0.00006722107,0.0006480499,0.0006909754,0.0007545472,0.0001929869,0.00008885259,0.0001813071,0.00000375159],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009072229,"about_ca_system_score_gemma":0.0001280922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001669245,"about_ca_topic_score_gemma":2.288107e-7,"domain_scores_codex":[0.9980988,0.0001023609,0.0009244026,0.0001380344,0.0005509537,0.0001854294],"domain_scores_gemma":[0.9952701,0.001265705,0.002458496,0.0005212761,0.0003773733,0.0001070712],"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":[0.0002443697,0.002389861,0.003799543,0.0007159309,0.001156722,0.000002512535,0.006829313,0.00004386071,0.4302316,0.5300338,0.01445031,0.01010223],"study_design_scores_gemma":[0.0004601633,0.0001913196,0.005415042,0.0003731655,0.0001827492,0.00006531656,0.006197605,0.0001403286,0.02431602,0.9625294,0.00002691911,0.0001020277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8963563,0.00004916206,0.1002436,0.002362119,0.00007243075,0.0001642475,0.0000125749,0.00001054147,0.0007290664],"genre_scores_gemma":[0.9284695,0.0000557452,0.07104743,0.00003122185,0.00008420021,0.000004938498,1.42918e-7,0.00001973464,0.000287109],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4324956,"threshold_uncertainty_score":0.2780161,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2607580342","doi":"10.1090/jams/907","title":"An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³","year":2018,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":24,"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","keywords":"Algorithm; Computer science; Artificial intelligence","authors":[{"name":"Nets Hawk Katz","is_ca":false},{"name":"Joshua Zahl","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02280268994415617,"gpt":0.3146953957640515,"spread":0.2918927058198953,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004919426,0.0005302464,0.001747427,0.00007857761,0.0003162034,0.000149585,0.001645374,0.0002172267,0.0004307136],"category_scores_gemma":[0.002581453,0.0002652089,0.001375741,0.0008787276,0.002562355,0.000193529,0.0003473047,0.001291847,0.00004989067],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002608899,"about_ca_system_score_gemma":0.0002422483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003572067,"about_ca_topic_score_gemma":0.00001366994,"domain_scores_codex":[0.9945101,0.000729143,0.002364998,0.0003407172,0.001362902,0.0006922106],"domain_scores_gemma":[0.9895645,0.004199283,0.003914061,0.001492841,0.0005400114,0.0002892997],"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":[0.002251886,0.03247057,0.001973537,0.005846675,0.004344109,0.00006545584,0.08972257,0.0001323251,0.1497704,0.6566035,0.04211919,0.01469977],"study_design_scores_gemma":[0.001282475,0.003384357,0.001626389,0.00245733,0.0005170287,0.0001173096,0.008868484,0.1691747,0.003913144,0.8078654,0.0002222256,0.0005711357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9859554,0.00005592443,0.006064494,0.005712801,0.0002778328,0.0007385702,0.00003174661,0.00001339264,0.001149862],"genre_scores_gemma":[0.9802054,0.00008598246,0.01756012,0.001529791,0.0003248729,0.000008162071,6.379253e-7,0.00008878493,0.0001962373],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1690424,"threshold_uncertainty_score":0.99998,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2501863260","doi":"10.1090/s0894-0347-08-00595-x","title":"Orbit equivalence for Cantor minimal ℤ²-systems","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Norges Forskningsråd","keywords":"Cantor set; Orbit (dynamics); Equivalence (formal languages); Cantor function; Heteroclinic orbit; Action (physics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.08849379382254563,"gpt":0.377317698049448,"spread":0.2888239042269024,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00118607,0.0002188197,0.0007829854,0.00003048732,0.0003333615,0.00004175265,0.0009295291,0.00005932901,0.00004932089],"category_scores_gemma":[0.002493705,0.000127061,0.0008560163,0.000398755,0.0008666844,0.0001750509,0.0001818612,0.0004834612,0.00001374649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002568568,"about_ca_system_score_gemma":0.0002912875,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000056425,"about_ca_topic_score_gemma":5.449245e-7,"domain_scores_codex":[0.9972556,0.0001480557,0.0008643513,0.0001790617,0.001038782,0.000514148],"domain_scores_gemma":[0.9956493,0.002111773,0.001026968,0.0004784317,0.000497975,0.0002355513],"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":[0.001362388,0.00418866,0.006433486,0.004081252,0.003211081,0.000195826,0.02386231,0.0005597039,0.06336752,0.2703242,0.6192821,0.003131454],"study_design_scores_gemma":[0.007833201,0.005176275,0.003349536,0.002116073,0.0008640795,0.009316298,0.02352727,0.03812778,0.01810058,0.86276,0.02624089,0.002587993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9244547,0.0001890658,0.07260907,0.001525607,0.0002199581,0.0006141798,0.00002032405,0.00003075702,0.0003363019],"genre_scores_gemma":[0.7646408,0.0001719841,0.2324578,0.0003612123,0.0006814208,0.00004704573,2.339354e-7,0.00008555875,0.001553953],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5930412,"threshold_uncertainty_score":0.5181398,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2929067711","doi":"10.1090/jams/983","title":"Regularity theorem for totally nonnegative flag varieties","year":2021,"lang":"en","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Flag (linear algebra); Conjecture; Variety (cybernetics); Closure (psychology); Grassmannian; Pure mathematics; Ball (mathematics); Combinatorics; Algebra over a field; Mathematical analysis","authors":[{"name":"Pavel Galashin","is_ca":false},{"name":"Steven N. Karp","is_ca":true},{"name":"Thomas Lam","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02923631913522787,"gpt":0.3248288612730986,"spread":0.2955925421378707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001819598,0.0004738159,0.001734829,0.0000396931,0.0002529941,0.0001699537,0.001199419,0.0002518129,0.00009025511],"category_scores_gemma":[0.00466223,0.0002898452,0.003222689,0.0003752446,0.001008194,0.0001276624,0.001147375,0.001665584,0.000002240002],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002651074,"about_ca_system_score_gemma":0.0004266298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001553844,"about_ca_topic_score_gemma":0.000001319997,"domain_scores_codex":[0.9968165,0.000230738,0.001262933,0.0003525261,0.0008855832,0.000451675],"domain_scores_gemma":[0.9912484,0.003275245,0.003426708,0.0009661447,0.0009046198,0.0001788517],"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":[0.0002774843,0.001700675,0.00008361146,0.00449592,0.004533653,0.00002168367,0.0168527,0.0005537465,0.001132687,0.9438957,0.02292109,0.003531037],"study_design_scores_gemma":[0.0003690404,0.0001476927,0.0001466441,0.0006405956,0.0005871425,0.00009494425,0.006646159,0.001113254,0.001280112,0.9885263,0.0001113967,0.000336709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3553418,0.0002368319,0.6392395,0.00320378,0.000525105,0.0006403379,0.00004371756,0.00003994946,0.0007289493],"genre_scores_gemma":[0.3734793,0.0001220075,0.6237258,0.0009259891,0.0008609976,0.00004528372,0.000003737169,0.0001150016,0.0007218529],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0446306,"threshold_uncertainty_score":0.9999554,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2788691877","doi":"10.1090/jams/993","title":"The Archimedean limit of random sorting networks","year":2021,"lang":"lv","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Cayley graph; Combinatorics; Mathematics; Sigma; Permutation matrix; Corollary; Limit (mathematics); Permutation (music); Symmetric group; Sorting; Path (computing); Random permutation; Discrete mathematics; Graph; Physics; Computer science; Algorithm; Mathematical analysis","authors":[{"name":"Duncan Dauvergne","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02270407484109662,"gpt":0.3010315160570421,"spread":0.2783274412159455,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.00551923,0.0005837963,0.002578535,0.00003470125,0.0008159796,0.0003823895,0.002631755,0.0002300122,0.00007922076],"category_scores_gemma":[0.002879576,0.0002979393,0.005334633,0.0008014805,0.001820369,0.00008582366,0.001483427,0.002736249,0.000006794367],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001801071,"about_ca_system_score_gemma":0.0004840949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002808058,"about_ca_topic_score_gemma":0.000005646875,"domain_scores_codex":[0.9928086,0.0008559639,0.003772935,0.0003582644,0.001499875,0.0007043756],"domain_scores_gemma":[0.9733772,0.01159505,0.01229739,0.001662845,0.0007947956,0.0002727117],"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":[0.006381208,0.02029372,0.005861445,0.02515036,0.06792709,0.000114451,0.1309719,0.09966243,0.009724535,0.2758555,0.1557426,0.2023147],"study_design_scores_gemma":[0.008605976,0.0005704113,0.002475698,0.008602294,0.0100739,0.0008620212,0.0516653,0.2562846,0.001324027,0.6538035,0.003945955,0.001786394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6296549,0.003511809,0.3478666,0.01360617,0.0009408165,0.001970619,0.00002556106,0.00003945994,0.00238408],"genre_scores_gemma":[0.9047316,0.00841823,0.08373389,0.0004907241,0.001531846,0.00005994907,0.000002528118,0.0001573831,0.0008737972],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.377948,"threshold_uncertainty_score":0.9999472,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1984685721","doi":"10.1090/s0894-0347-2011-00690-5","title":"Intersecting families of permutations","year":2011,"lang":"lv","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation","keywords":"Conjecture; Coset; Combinatorics; Mathematical proof; Mathematics; Eigenvalues and eigenvectors; Set (abstract data type); Symmetric group; Group (periodic table); Representation (politics); Computer science; Physics; Geometry","authors":[{"name":"David Ellis","is_ca":false},{"name":"Ehud Friedgut","is_ca":true},{"name":"Haran Pilpel","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03408565512689003,"gpt":0.3028616156639923,"spread":0.2687759605371022,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002287311,0.0005687185,0.002169478,0.0001113573,0.0004235019,0.00005776074,0.002095588,0.0002625039,0.0002645369],"category_scores_gemma":[0.003306633,0.0003324263,0.004265913,0.0004959034,0.002837739,0.0001131019,0.001808509,0.002290565,0.000006842648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001991125,"about_ca_system_score_gemma":0.0002717794,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003670353,"about_ca_topic_score_gemma":0.000001938243,"domain_scores_codex":[0.9950119,0.0005718964,0.002596264,0.0002974789,0.001060379,0.0004621152],"domain_scores_gemma":[0.9864872,0.003030844,0.008436028,0.001117095,0.0007371766,0.0001917188],"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":[0.0003990496,0.002214985,0.002821706,0.006458655,0.01065139,0.00001869586,0.3926879,0.0003745805,0.003232019,0.5656633,0.008016271,0.00746152],"study_design_scores_gemma":[0.0003595814,0.0002822545,0.001657696,0.002435803,0.001544849,0.0002487549,0.04538263,0.0006924813,0.00128045,0.9456696,0.00007971528,0.0003661868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9690416,0.0002179342,0.02313427,0.0004419045,0.001128737,0.0004223383,0.00004496698,0.00002022285,0.005547975],"genre_scores_gemma":[0.9244329,0.0005474219,0.07401904,0.0002619652,0.0003787481,0.000005689415,5.751309e-7,0.00008028842,0.0002734072],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3800063,"threshold_uncertainty_score":0.9999128,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1826476301","doi":"10.1090/s0894-0347-07-00577-2","title":"Symplectic 𝐒¹×𝐍³, subgroup separability, and vanishing Thurston norm","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"National Science Foundation","keywords":"Mathematics; Symplectic geometry; Pure mathematics; Norm (philosophy); Symplectic group; Combinatorics","authors":[{"name":"Stefan Friedl","is_ca":true},{"name":"Stefano Vidussi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02391064056752945,"gpt":0.320838410714083,"spread":0.2969277701465535,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003192589,0.0001997436,0.0006890774,0.0000573721,0.0002113637,0.00005171682,0.000470288,0.0000799113,0.00009173175],"category_scores_gemma":[0.002327133,0.0001186853,0.0005465306,0.0006989646,0.0008029852,0.0001275379,0.0002244347,0.0006011702,0.000006866282],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001597687,"about_ca_system_score_gemma":0.00005962929,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001170024,"about_ca_topic_score_gemma":0.000006063708,"domain_scores_codex":[0.9979005,0.0001169898,0.0008036763,0.0001679343,0.0005708854,0.0004400205],"domain_scores_gemma":[0.9950362,0.003208856,0.001069691,0.0003408427,0.0001422244,0.000202219],"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":[0.0004198134,0.003848454,0.089967,0.002146572,0.002628329,0.0001045471,0.03293494,0.00001824585,0.00706237,0.7826825,0.04191387,0.0362734],"study_design_scores_gemma":[0.000489291,0.0003419951,0.01991763,0.00009192489,0.0002509555,0.0008841325,0.004171316,0.0001769337,0.0004350258,0.97263,0.0003952232,0.0002156321],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9581127,0.000104215,0.03763474,0.002446686,0.0001491579,0.0001472649,0.000001253203,0.00002453032,0.001379464],"genre_scores_gemma":[0.9629787,0.00003715546,0.03588,0.0006594343,0.000205258,0.000001108173,7.445124e-8,0.00002527426,0.0002129771],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1899475,"threshold_uncertainty_score":0.4839845,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2066144963","doi":"10.1090/s0894-0347-2011-00694-2","title":"Non-commutative circuits and the sum-of-squares problem","year":2011,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Complexity and Algorithms in Graphs","field":"Computer Science","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":"National Science Foundation","keywords":"Mathematics; Parenthesis; Algorithm; Commutative property; Statistics; Discrete mathematics; Linguistics; Philosophy","authors":[{"name":"Pavel Hrubeš","is_ca":true},{"name":"Avi Wigderson","is_ca":false},{"name":"Amir Yehudayoff","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02781381867902191,"gpt":0.2585632479588518,"spread":0.2307494292798299,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001112913,0.0001060051,0.0003976627,0.00001840135,0.0001622429,0.00004425948,0.001324686,0.00001931435,0.00001039733],"category_scores_gemma":[0.0000926344,0.00004845592,0.0004319828,0.0003997898,0.001648201,0.0001623054,0.0003900174,0.0003151638,0.000001648322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001682998,"about_ca_system_score_gemma":0.0000504158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000188619,"about_ca_topic_score_gemma":5.479313e-7,"domain_scores_codex":[0.9988059,0.0001482563,0.0004207497,0.0000941891,0.0003691957,0.0001616793],"domain_scores_gemma":[0.9979969,0.0006371863,0.0008159839,0.0003499253,0.0001355783,0.00006440297],"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":[0.00007830003,0.0008575849,0.002003859,0.0002712632,0.001003869,0.00000970132,0.1929437,0.0000251767,0.0006222244,0.7304559,0.004274942,0.06745348],"study_design_scores_gemma":[0.0007136038,0.0002576257,0.007972844,0.0001513515,0.00006572378,0.0001726407,0.00298887,0.01380706,0.000973036,0.9726901,0.000080879,0.0001262793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2325751,0.0002434761,0.7558836,0.005822564,0.0001683469,0.0003790766,0.000002892792,0.00002299628,0.004901953],"genre_scores_gemma":[0.8457771,0.00004908503,0.1535716,0.0005376247,0.00003329195,0.000003145114,1.655016e-8,0.000005719249,0.0000224058],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.613202,"threshold_uncertainty_score":0.6072866,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3093407997","doi":"10.1090/jams/999","title":"Convergence of exclusion processes and the KPZ equation to the KPZ fixed point","year":2022,"lang":"en","type":"preprint","venue":"Journal of the American Mathematical Society","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":16,"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","keywords":"Asymmetric simple exclusion process; Mathematics; Scaling; Limit (mathematics); Fixed point; Convergence (economics); Mathematical analysis; Statistical physics; Physics; Geometry; Statistics","authors":[{"name":"Jeremy Quastel","is_ca":true},{"name":"Sourav Sarkar","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04529725986367365,"gpt":0.3288728166096701,"spread":0.2835755567459964,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003192306,0.0002973948,0.001043239,0.00002772903,0.000364843,0.00007467132,0.001383267,0.00007929496,0.0001864456],"category_scores_gemma":[0.01333823,0.0001284634,0.0005602541,0.0004986588,0.0006843247,0.00004627153,0.002094385,0.001096507,0.000002867763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001260213,"about_ca_system_score_gemma":0.0003700397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002193752,"about_ca_topic_score_gemma":0.00000231344,"domain_scores_codex":[0.9966332,0.0003413025,0.00120906,0.0002418948,0.00130268,0.0002719058],"domain_scores_gemma":[0.9895132,0.006466701,0.002697802,0.0006421481,0.000554656,0.0001255486],"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":[0.001110022,0.0009813332,0.00003688525,0.008920356,0.00143885,0.00000777592,0.05162811,0.001294521,0.0004172392,0.904738,0.02254226,0.006884664],"study_design_scores_gemma":[0.00044877,0.0002274843,0.0000369933,0.0005706633,0.0005470339,0.00006115076,0.005835664,0.02541106,0.0001512482,0.9663478,0.0001798813,0.0001822256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02877125,0.000359654,0.9524662,0.01674211,0.0003716833,0.001011048,0.00006363321,0.00001609581,0.0001983287],"genre_scores_gemma":[0.8524083,0.0006649888,0.143518,0.002480012,0.0003523971,0.0001515076,0.000001881987,0.00008396403,0.0003389654],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8236371,"threshold_uncertainty_score":0.9949728,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3183276117","doi":"10.1090/jams/1010","title":"Tate’s thesis in the de Rham setting","year":2022,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":15,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Perimeter Institute","funders":"National Science Foundation","keywords":"Conjecture; Type (biology); Annotation; Algorithm; Semantics (computer science); Moduli space; Mathematics; Computer science; Artificial intelligence; Pure mathematics; Programming language","authors":[{"name":"Justin Hilburn","is_ca":true},{"name":"Sam Raskin","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005929307255587428,"gpt":0.24299572725809,"spread":0.2370664200025025,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001240246,0.00008816827,0.0002243092,0.000007691458,0.0002266335,0.00003523999,0.0006261296,0.000006953533,0.0002217132],"category_scores_gemma":[0.00002461364,0.00004477043,0.0005008585,0.0003073468,0.0002465645,0.0000365071,0.0001667306,0.0006161046,0.000003789178],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006023824,"about_ca_system_score_gemma":0.00005277029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001359482,"about_ca_topic_score_gemma":7.644015e-8,"domain_scores_codex":[0.9987583,0.0003018974,0.0002905192,0.00006573946,0.0003614055,0.0002221318],"domain_scores_gemma":[0.9988385,0.0005059122,0.0003956489,0.0001945109,0.00002362736,0.00004184202],"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":[0.00002264271,0.0006231758,0.005737338,0.00001860587,0.0001241606,0.000003052648,0.01110824,0.00102851,0.0002020622,0.9681579,0.004876952,0.008097314],"study_design_scores_gemma":[0.0001745875,0.0000633875,0.002262041,0.00001396812,0.00005173742,0.00001752489,0.02402794,0.001976444,0.00007896002,0.9706951,0.0005627819,0.00007548925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9720508,0.00001730126,0.0130148,0.00821473,0.00004515655,0.0001138565,0.000007014039,0.000004217529,0.006532103],"genre_scores_gemma":[0.996334,0.000001370129,0.002069991,0.001365754,0.0001759546,0.000007822915,2.141327e-7,0.00001112959,0.0000337767],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02428317,"threshold_uncertainty_score":0.2676702,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2535664972","doi":"10.1090/jams/903","title":"Quantitative null-cobordism","year":2018,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Homotopy; Metric (unit); Upper and lower bounds; Product (mathematics); Degree (music); Simply connected space; Polynomial","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04284466256351688,"gpt":0.3561389596039189,"spread":0.313294297040402,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009949042,0.0001555323,0.0005848411,0.00004385089,0.0001769443,0.00002506353,0.0006001862,0.00005003682,0.0003446277],"category_scores_gemma":[0.002323881,0.0000839582,0.0006928839,0.0007551957,0.001547653,0.00007887973,0.0001548638,0.0003674327,0.00008434927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006973936,"about_ca_system_score_gemma":0.00007950365,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005064384,"about_ca_topic_score_gemma":6.652942e-7,"domain_scores_codex":[0.9983292,0.0001478843,0.000617654,0.000116598,0.0004906787,0.0002980255],"domain_scores_gemma":[0.9966094,0.00145105,0.001191255,0.0003318963,0.0002956733,0.0001206707],"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":[0.0001149738,0.0007646366,0.0009683637,0.0001219331,0.0008983039,0.000009480402,0.007985844,0.000001496637,0.00170084,0.7399772,0.2433798,0.004077178],"study_design_scores_gemma":[0.0003528378,0.000722555,0.001486852,0.00006584048,0.0001579969,0.0002062789,0.003621901,0.0004318627,0.0005324813,0.9895824,0.002690584,0.0001484777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8792555,0.00005887848,0.1065395,0.00880761,0.0003583575,0.0001456698,0.000003371487,0.00002856183,0.004802539],"genre_scores_gemma":[0.7706366,0.00001906553,0.2262849,0.001822194,0.0004523985,0.000002136864,6.118643e-8,0.00002814723,0.0007546029],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2496051,"threshold_uncertainty_score":0.5702393,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3045516677","doi":"10.1090/jams/1040","title":"On diffeomorphisms of even-dimensional discs","year":2023,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"European Research Council; Leverhulme Trust; National Science Foundation","keywords":"Geology; Environmental science; Mathematics","authors":[{"name":"Alexander Kupers","is_ca":true},{"name":"Oscar Randal‐Williams","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02286495823978453,"gpt":0.3024200829129847,"spread":0.2795551246732002,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.002008965,0.0003913673,0.001649103,0.00009110479,0.000243188,0.00002020665,0.001141084,0.0002289677,0.0006317393],"category_scores_gemma":[0.002247468,0.0002308847,0.00199592,0.0009905964,0.002859536,0.0000639839,0.0004544633,0.001201755,0.0002450433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001471657,"about_ca_system_score_gemma":0.0002546597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000572567,"about_ca_topic_score_gemma":7.722546e-7,"domain_scores_codex":[0.9956642,0.0006170451,0.001654907,0.0002509834,0.001205346,0.0006075412],"domain_scores_gemma":[0.990186,0.005462251,0.003109856,0.000780785,0.0002385381,0.0002225446],"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":[0.0007773688,0.005245948,0.001377739,0.001580527,0.004985986,0.0002250003,0.01435478,0.0005471095,0.01088338,0.7114192,0.2455725,0.003030517],"study_design_scores_gemma":[0.0009919007,0.00138349,0.003658761,0.0007499444,0.0006656615,0.0004894689,0.002147372,0.002338104,0.001567124,0.985463,0.0002419476,0.0003031828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9841405,0.00007270394,0.001455973,0.01254772,0.0007961724,0.0002750749,0.00004340586,0.00003033642,0.0006381322],"genre_scores_gemma":[0.9900171,0.0001107911,0.005838578,0.00143524,0.0003404271,0.000006726905,0.000001223184,0.00006810986,0.002181813],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2740439,"threshold_uncertainty_score":0.9998541,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3155677913","doi":"10.1090/jams/982","title":"The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds","year":2021,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"National Science Foundation","keywords":"Mathematics; Spectrum (functional analysis); Pure mathematics; Mathematical analysis; Quantum mechanics; Physics","authors":[{"name":"Francesco Lin","is_ca":false},{"name":"Michael Lipnowski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02076267337768117,"gpt":0.2782915094738005,"spread":0.2575288360961194,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001731561,0.0001488088,0.0006208697,0.0000207152,0.0003588409,0.00004932275,0.0005634003,0.00004734222,0.00005926655],"category_scores_gemma":[0.003306379,0.0000602457,0.0006627911,0.0006606532,0.001692159,0.00004876894,0.0002725889,0.0004476341,0.00000464253],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004021711,"about_ca_system_score_gemma":0.0001188283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001339487,"about_ca_topic_score_gemma":0.00001661007,"domain_scores_codex":[0.9980944,0.0002778384,0.0007251927,0.0001099693,0.0005239415,0.0002686399],"domain_scores_gemma":[0.9912173,0.006916077,0.001127792,0.0004892423,0.0001735371,0.00007601703],"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":[0.00003887359,0.0002205746,0.0005151238,0.00007052309,0.0007354883,0.000003838371,0.002239745,0.000009345472,0.0001654637,0.9889334,0.004380616,0.002686947],"study_design_scores_gemma":[0.0007078197,0.00007817064,0.002579494,0.00004172773,0.0003003565,0.0002946199,0.00489638,0.001164181,0.0002233421,0.9890049,0.000619907,0.00008907643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8736836,0.001337498,0.04317339,0.07863214,0.0002519438,0.0003168002,0.000006191249,0.00001879948,0.002579612],"genre_scores_gemma":[0.9884786,0.0003784216,0.009576044,0.0006814453,0.000193348,0.000004692133,1.067446e-7,0.00002080012,0.0006665368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.114795,"threshold_uncertainty_score":0.6234832,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3190183031","doi":"10.1090/jams/1047","title":"Reducing linear Hadwiger’s conjecture to coloring small graphs","year":2024,"lang":"lv","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Combinatorics; Graph coloring; Discrete mathematics; Graph","authors":[{"name":"Michelle Delcourt","is_ca":true},{"name":"Luke Postle","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03374255194304301,"gpt":0.3266654816425922,"spread":0.2929229296995493,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003114962,0.0004011569,0.0009296517,0.0001673697,0.0003998722,0.0006155868,0.002906631,0.0001052678,0.00006004381],"category_scores_gemma":[0.001021845,0.0002493294,0.001762351,0.003284157,0.001008467,0.0003854104,0.00117629,0.002061749,0.0001226413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003725098,"about_ca_system_score_gemma":0.0005121664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001291717,"about_ca_topic_score_gemma":9.8721e-7,"domain_scores_codex":[0.9958006,0.0004519227,0.001065861,0.0005149373,0.001285779,0.0008809146],"domain_scores_gemma":[0.9955545,0.001873114,0.0006714872,0.0009473792,0.0003735413,0.000579953],"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":[0.0005223894,0.001270511,0.0003782777,0.003274113,0.004541689,0.0008221665,0.08641549,0.01979955,0.04623845,0.6802775,0.03579324,0.1206666],"study_design_scores_gemma":[0.0008644967,0.003007255,0.0007269197,0.007344904,0.0005927507,0.002687199,0.005952155,0.213042,0.0102008,0.7321,0.0220096,0.001471943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4227087,0.001458262,0.5488737,0.02403422,0.001690508,0.0005774525,0.00001337619,0.0001055544,0.0005382766],"genre_scores_gemma":[0.6411523,0.0003903351,0.3522395,0.002858293,0.00110291,0.00001482875,2.022099e-7,0.0001172326,0.002124356],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.2184436,"threshold_uncertainty_score":0.9999959,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}