{"meta":{"query_hash":"5b57546acbe0","filters":{"venue":"Proceedings of the American Mathematical Society Series B"},"cohort_total":22,"direct_labels_cover":0,"predictions_cover":22,"exported":22,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/5b57546acbe0","api":"https://metacan.xera.ac/api/v1/cohort?venue=Proceedings+of+the+American+Mathematical+Society+Series+B"},"results":[{"id":"W2021766767","doi":"10.1090/s2330-1511-2014-00013-4","title":"Average Mahler’s measure and 𝐿_{𝑝} norms of Littlewood polynomials","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Type (biology); Computer science; Mathematics; Geology","score_opus":0.014493050871296072,"score_gpt":0.2553430654231551,"score_spread":0.24085001455185903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021766767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9861669,0.000041319043,0.0054784263,0.001717594,0.000104705876,0.00070065435,0.000013805158,0.00013683412,0.005639769],"genre_scores_gemma":[0.8773678,0.000029478026,0.121798255,0.00010829559,0.000098196906,0.000034538534,2.5646125e-7,0.00007164961,0.0004915551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977039,0.00002655521,0.0008651148,0.0003128581,0.0006888318,0.0004027382],"domain_scores_gemma":[0.99687606,0.0008260578,0.0013997116,0.0003888413,0.00037408844,0.0001352514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009730562,0.00034531494,0.0011646565,0.000031245774,0.00014156009,0.000041409647,0.0006686508,0.000104506726,0.000023022272],"category_scores_gemma":[0.003405139,0.00023450109,0.00040221136,0.00047631023,0.001012124,0.00027006652,0.00049219595,0.00027838565,0.000003755218],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007938323,0.00034422983,0.00062729354,0.0032225377,0.00022424196,8.550145e-8,0.00538404,0.0000014842092,0.036264114,0.95138276,0.0014908435,0.0009790064],"study_design_scores_gemma":[0.00042345113,0.0002671781,0.00012479552,0.00035517965,0.00012573815,0.000022050595,0.0021104836,0.00035600652,0.041142173,0.9545655,0.00023309681,0.00027432689],"about_ca_topic_score_codex":0.000008230087,"about_ca_topic_score_gemma":6.1762205e-7,"teacher_disagreement_score":0.11631983,"about_ca_system_score_codex":0.00008691201,"about_ca_system_score_gemma":0.00003041778,"threshold_uncertainty_score":0.95626765},"labels":[],"label_agreement":null},{"id":"W2765317479","doi":"10.1090/bproc/37","title":"When is an automatic set an additive basis?","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society Series B","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Basis (linear algebra); Natural number; Characterization (materials science); Set (abstract data type); Mathematics; Natural (archaeology); Algorithm; Order (exchange); Computer science; Combinatorics; Geometry; Geography; Physics","score_opus":0.019577695073338557,"score_gpt":0.2632862714098411,"score_spread":0.24370857633650256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765317479","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9808262,0.00003022358,0.010483719,0.004702518,0.00024156537,0.0008742007,0.00017516503,0.00084020855,0.0018261957],"genre_scores_gemma":[0.41581646,0.000060858827,0.578841,0.0041040005,0.0004650061,0.0002385905,0.000016037762,0.00011991793,0.00033814833],"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966236,0.00005683515,0.0007491147,0.0010279459,0.0009296443,0.0006128719],"domain_scores_gemma":[0.99625045,0.0001616193,0.0015502688,0.0012478022,0.0005132932,0.00027656663],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009798124,0.00059566234,0.0011073988,0.000049828333,0.00030898617,0.0005993156,0.005187726,0.00021629076,0.00021192076],"category_scores_gemma":[0.0001868782,0.00042387558,0.0006964913,0.000490045,0.002090662,0.0013282861,0.004224167,0.0006365553,0.000040469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000091700604,0.0020948937,0.00068552466,0.0063804383,0.0018073207,0.000003103985,0.44107938,0.000006285022,0.005076985,0.31315798,0.17797147,0.05164492],"study_design_scores_gemma":[0.00013007488,0.00048664468,0.0007415964,0.0005212981,0.00011933327,0.000034464385,0.008965607,0.092719354,0.0072248406,0.8880066,0.0003846341,0.0006655133],"about_ca_topic_score_codex":0.00003569194,"about_ca_topic_score_gemma":6.5610334e-7,"teacher_disagreement_score":0.57484865,"about_ca_system_score_codex":0.00012231227,"about_ca_system_score_gemma":0.00014643554,"threshold_uncertainty_score":0.9998213},"labels":[],"label_agreement":null},{"id":"W2768398021","doi":"10.1090/bproc/32","title":"On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic GL_{jlcg_}","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McMaster University; University of East Anglia; Purdue University; Engineering and Physical Sciences Research Council; City University of New York; Simons Foundation; University of Calgary; National Science Foundation","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Computer science; Mathematics; Geology","score_opus":0.01944944165524908,"score_gpt":0.28024060024383635,"score_spread":0.26079115858858726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2768398021","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9816361,0.000038754137,0.0074767824,0.006534783,0.00013271712,0.0013361422,0.000050239763,0.000041586216,0.002752877],"genre_scores_gemma":[0.99481773,0.000017797021,0.0037201652,0.0007243494,0.000104877654,0.00007941362,2.4213057e-7,0.00004658115,0.00048882834],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981011,0.00002693176,0.00061476027,0.00024408307,0.0006388894,0.00037424805],"domain_scores_gemma":[0.99464726,0.0029926724,0.0012329369,0.0005704728,0.0005061388,0.000050517756],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0009872495,0.00027586086,0.0006298398,0.00001632111,0.00045508167,0.000032047716,0.0015224348,0.00007362144,0.00011297896],"category_scores_gemma":[0.0023458095,0.00010921096,0.0007402829,0.00078727026,0.00869066,0.00013059027,0.00045372045,0.0002780655,0.00000506258],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017466434,0.00016892162,0.00011729532,0.0007090539,0.00024825326,1.7496836e-8,0.0050314404,0.0000018927328,0.0033411533,0.98386055,0.005830319,0.0005164559],"study_design_scores_gemma":[0.00025734547,0.00033796442,0.00020997797,0.00025390415,0.00021233204,0.000006844779,0.026158616,0.0008593687,0.064755194,0.90640587,0.0003966867,0.00014592217],"about_ca_topic_score_codex":0.000005093415,"about_ca_topic_score_gemma":0.000001334141,"teacher_disagreement_score":0.077454686,"about_ca_system_score_codex":0.00004554404,"about_ca_system_score_gemma":0.000056046818,"threshold_uncertainty_score":0.9940071},"labels":[],"label_agreement":null},{"id":"W2919821633","doi":"10.1090/bproc/68","title":"On basic and Bass quaternion orders","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society Series B","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Austrian Science Fund; Simons Foundation; National Science Foundation","keywords":"Quaternion; Bass (fish); Integrally closed; Mathematics; Property (philosophy); Quadratic equation; Pure mathematics; Geometry; Engineering; Fishery; Biology","score_opus":0.03516576102383641,"score_gpt":0.30892019544774396,"score_spread":0.27375443442390757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919821633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9918126,0.00003468738,0.0002893416,0.0033961162,0.000079340905,0.00073757424,0.000023821965,0.00012064134,0.0035058626],"genre_scores_gemma":[0.9476404,0.00019201786,0.049966745,0.00041172357,0.000110701774,0.00018088224,0.0000047482304,0.00017074686,0.001321998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99700546,0.00006411321,0.000673882,0.00068765425,0.0010339953,0.00053490687],"domain_scores_gemma":[0.9969121,0.000977466,0.0009625412,0.0005582775,0.0004354609,0.00015412278],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012255812,0.0005166328,0.0012141637,0.00005193031,0.0001979601,0.0002500176,0.0010132779,0.00022321555,0.00011500943],"category_scores_gemma":[0.002801005,0.00036636967,0.0006651626,0.0004673285,0.0020355752,0.00015182611,0.0027459923,0.0012474961,0.00000820021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00043762653,0.0012920741,0.0018452405,0.021779152,0.0012877032,0.00000286247,0.017681327,0.000007524345,0.00828344,0.93258244,0.01354985,0.001250767],"study_design_scores_gemma":[0.00024354018,0.00029381577,0.0004158974,0.0013789532,0.00016827654,0.000014328282,0.010932223,0.0007110927,0.0050864895,0.98020524,0.0000836457,0.00046647008],"about_ca_topic_score_codex":0.00002491779,"about_ca_topic_score_gemma":0.0000015030867,"teacher_disagreement_score":0.0496774,"about_ca_system_score_codex":0.00014073304,"about_ca_system_score_gemma":0.00009532088,"threshold_uncertainty_score":0.9998788},"labels":[],"label_agreement":null},{"id":"W3005341571","doi":"10.1090/bproc/74","title":"A locally anisotropic regularity criterion for the Navier–Stokes equation in terms of vorticity","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Bounded function; Vorticity; Plane (geometry); Space (punctuation); Scale (ratio); Work (physics)","score_opus":0.04951930490994583,"score_gpt":0.3191266468168807,"score_spread":0.26960734190693486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005341571","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9098177,0.00008513259,0.07960176,0.008241579,0.00008681751,0.0012568246,0.00004301931,0.00006436463,0.00080283196],"genre_scores_gemma":[0.87028587,0.00006497837,0.12887014,0.00022046964,0.000048873295,0.00016966918,0.0000022486615,0.000032237644,0.0003055164],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980314,0.00003722171,0.0008448323,0.00025521746,0.00052563875,0.0003057066],"domain_scores_gemma":[0.99724257,0.0009773617,0.0008833523,0.000320114,0.0005270189,0.000049595863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008498131,0.00019497798,0.00059777364,0.000023463506,0.00020560752,0.000046592075,0.0004744494,0.00007536656,0.000029832527],"category_scores_gemma":[0.0033574412,0.00012919246,0.0004721651,0.00081367,0.0010355088,0.00026266172,0.00025689145,0.00022145305,0.0000014617569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013773824,0.0008491871,0.007016568,0.0028892776,0.0002551227,2.8329808e-7,0.009740208,0.000022643115,0.07225096,0.9027635,0.001928136,0.0021463935],"study_design_scores_gemma":[0.0005402328,0.00016565966,0.009686912,0.0003921293,0.00025161405,0.000016757493,0.0068358043,0.009805301,0.037089214,0.9346864,0.00030130404,0.00022866501],"about_ca_topic_score_codex":0.000016667014,"about_ca_topic_score_gemma":0.000010642982,"teacher_disagreement_score":0.04926838,"about_ca_system_score_codex":0.00012263698,"about_ca_system_score_gemma":0.00007547934,"threshold_uncertainty_score":0.52683157},"labels":[],"label_agreement":null},{"id":"W3006209524","doi":"10.1090/bproc/43","title":"On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions","year":2020,"lang":"fi","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Center for Northern Studies","funders":"Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Biology","score_opus":0.018790037839808222,"score_gpt":0.23860257630609358,"score_spread":0.21981253846628535,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006209524","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9664566,0.00015407718,0.00021231882,0.027003847,0.00007601111,0.000951162,0.000039327482,0.00006258895,0.005044055],"genre_scores_gemma":[0.9910915,0.00022465183,0.0056807725,0.0022446224,0.00009207862,0.000038493996,8.679905e-7,0.00009182789,0.0005352214],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965291,0.000096218835,0.0012587141,0.00051344035,0.00094479945,0.0006577244],"domain_scores_gemma":[0.99570113,0.0020386998,0.0012334517,0.00049452396,0.0003414527,0.00019073162],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0013568802,0.0005576618,0.0014979262,0.000048603117,0.0003282883,0.00006908829,0.0014427088,0.00019740382,0.00042607993],"category_scores_gemma":[0.0042666937,0.00034774517,0.0010049528,0.0018181318,0.0042231586,0.00021265002,0.000716632,0.0010105777,0.00004153091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008206499,0.0009821344,0.00056492066,0.0041696574,0.00063192,0.0000014724718,0.071188055,0.000025073492,0.016212175,0.89598274,0.009221174,0.0002000339],"study_design_scores_gemma":[0.00062757265,0.0007433712,0.0005317096,0.001079378,0.0004331485,0.000021811602,0.10545715,0.0024706007,0.02069689,0.86710864,0.0003191355,0.0005105683],"about_ca_topic_score_codex":0.00003505916,"about_ca_topic_score_gemma":6.162546e-7,"teacher_disagreement_score":0.03426909,"about_ca_system_score_codex":0.00008841982,"about_ca_system_score_gemma":0.00010305501,"threshold_uncertainty_score":0.9998975},"labels":[],"label_agreement":null},{"id":"W3030991966","doi":"10.1090/bproc/62","title":"Global regularity for solutions of the Navier–Stokes equation sufficiently close to being eigenfunctions of the Laplacian","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society Series B","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Eigenfunction; Mathematics; Norm (philosophy); Laplace operator; Fractional Laplacian; Mathematical analysis; Embedding; Turbulence; Physics; Quantum mechanics; Eigenvalues and eigenvectors; Computer science","score_opus":0.05264594353056766,"score_gpt":0.316859758708904,"score_spread":0.2642138151783363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3030991966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9143025,0.00010991498,0.06496462,0.012365458,0.0006767756,0.004413471,0.0012123922,0.000110342386,0.0018445066],"genre_scores_gemma":[0.89728224,0.000025399213,0.10114582,0.0002590434,0.00011642007,0.00046452938,0.000010071687,0.000063842665,0.0006326401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996149,0.000101211765,0.0014633227,0.0005276893,0.0012322778,0.00052646874],"domain_scores_gemma":[0.99354523,0.0006526809,0.0027719825,0.0010651227,0.0018538589,0.00011109482],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015056602,0.0004352979,0.0011057148,0.00004050311,0.0008183419,0.00007596903,0.0017517521,0.0002446081,0.000025583236],"category_scores_gemma":[0.0059408676,0.0002796756,0.0020145276,0.001885353,0.001954695,0.0001813446,0.002739157,0.00055867684,0.0000012588011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078107856,0.0011613962,0.0023674709,0.004800972,0.0008299964,3.2416068e-8,0.016665896,0.0005102807,0.008424548,0.95622027,0.008525889,0.00041511818],"study_design_scores_gemma":[0.00037055113,0.00015142128,0.005060291,0.002025974,0.0015590241,0.000013483867,0.021612654,0.003930919,0.01175144,0.9525174,0.00048658985,0.0005202581],"about_ca_topic_score_codex":0.00007938738,"about_ca_topic_score_gemma":0.00004242105,"teacher_disagreement_score":0.036181197,"about_ca_system_score_codex":0.0004893196,"about_ca_system_score_gemma":0.0005084796,"threshold_uncertainty_score":0.99996555},"labels":[],"label_agreement":null},{"id":"W3091121767","doi":"10.1090/bproc/78","title":"Loeb extension and Loeb equivalence","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society Series B","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Extension (predicate logic); Equivalence (formal languages); Algebra over a field; Mathematics; Pure mathematics; Computer science; Programming language","score_opus":0.024777203581449306,"score_gpt":0.2816645209034997,"score_spread":0.2568873173220504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3091121767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98319435,0.00024608025,0.0034875725,0.0052097025,0.00008348164,0.0007016477,0.000029349045,0.00018551055,0.0068622995],"genre_scores_gemma":[0.8093265,0.0006179034,0.1877323,0.00048721817,0.00015753918,0.000105589825,0.0000032968717,0.00011833687,0.001451323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99618614,0.00004776031,0.0011721496,0.000911859,0.0010746375,0.0006074697],"domain_scores_gemma":[0.99601233,0.0009016933,0.0014145628,0.00073103624,0.0006680955,0.00027229948],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0010402576,0.0006705994,0.0020616339,0.000041675037,0.00023904096,0.00024561523,0.0010775719,0.00027712338,0.00029637085],"category_scores_gemma":[0.003220959,0.00042741225,0.0013398046,0.00064663694,0.0035931463,0.0001857367,0.00437514,0.0010107091,0.000007598135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055370416,0.00058285985,0.00019310565,0.012865413,0.00072699867,0.000002203136,0.0036762338,0.0000014707109,0.006387272,0.97284824,0.0018932367,0.00076759],"study_design_scores_gemma":[0.00012853733,0.00009061464,0.00016419432,0.0017196839,0.0008093963,0.000053966643,0.0058714286,0.0022400338,0.0052318857,0.98313624,0.000048044818,0.00050599116],"about_ca_topic_score_codex":0.000016082367,"about_ca_topic_score_gemma":0.000001052131,"teacher_disagreement_score":0.18424472,"about_ca_system_score_codex":0.00007594582,"about_ca_system_score_gemma":0.00007382159,"threshold_uncertainty_score":0.9998178},"labels":[],"label_agreement":null},{"id":"W3139343486","doi":"10.1090/bproc/81","title":"A note on finiteness properties of graphs of groups","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Biology","score_opus":0.023886404484559552,"score_gpt":0.25304388907682257,"score_spread":0.229157484592263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3139343486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99325705,0.00034746045,0.00016039005,0.0029978545,0.00011583918,0.0004266178,0.000048452926,0.00003495522,0.002611412],"genre_scores_gemma":[0.9816881,0.00035192634,0.016530063,0.00024506488,0.000051565956,0.000027298436,8.463754e-7,0.00006164024,0.0010435061],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966719,0.000047311136,0.0013881347,0.00043902404,0.0009195303,0.00053408905],"domain_scores_gemma":[0.995317,0.00071140437,0.0023107654,0.0004786865,0.0010672814,0.00011489492],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.00064712815,0.00044292517,0.0018754946,0.00008821415,0.00014625258,0.00003032224,0.0008704026,0.00018896296,0.00013728454],"category_scores_gemma":[0.0036612174,0.00029918816,0.0012278258,0.00242558,0.004214642,0.0001576869,0.00071323296,0.00044170333,0.000009000388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033917624,0.0024609135,0.0015309004,0.01890901,0.0010388358,0.000001283733,0.021707242,0.000004019027,0.10636002,0.84497404,0.0016302365,0.0010443395],"study_design_scores_gemma":[0.0006042421,0.0009608744,0.0011133195,0.0022278153,0.0006417151,0.000053818843,0.044773754,0.0002026218,0.42411578,0.5247349,0.00013248762,0.00043866987],"about_ca_topic_score_codex":0.000026272886,"about_ca_topic_score_gemma":0.0000010114501,"teacher_disagreement_score":0.3202391,"about_ca_system_score_codex":0.00005212682,"about_ca_system_score_gemma":0.00017735826,"threshold_uncertainty_score":0.999946},"labels":[],"label_agreement":null},{"id":"W3165135248","doi":"10.1090/bproc/63","title":"Periodic solutions of partial functional differential equations","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Science Foundation","keywords":"Parenthesis; Algorithm; Computer science; Philosophy","score_opus":0.042798719102731836,"score_gpt":0.2808260884624498,"score_spread":0.23802736935971794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3165135248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88686436,0.00003269131,0.10929412,0.0021753989,0.00008754266,0.00024236589,0.00006630181,0.000072319155,0.0011649282],"genre_scores_gemma":[0.95752364,0.000016460312,0.041225024,0.000044552868,0.00011618559,0.00003925252,0.000008400652,0.00002878763,0.0009976671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981025,0.000027124335,0.00068741274,0.00024551546,0.00065159786,0.0002858515],"domain_scores_gemma":[0.99781245,0.00038360097,0.00073463557,0.00026420507,0.0007284685,0.00007661306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023737503,0.00018857981,0.00059850485,0.000034080407,0.0002980953,0.000048993723,0.00029717362,0.000056656798,0.00073060504],"category_scores_gemma":[0.0015932673,0.00014174532,0.00083860185,0.0009167561,0.0010844872,0.00016555561,0.00034604687,0.0001911022,0.000007856145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003612598,0.0010371055,0.00076024793,0.00055326417,0.0007465992,1.3383448e-7,0.001898302,0.000011643656,0.113910824,0.8784489,0.0022728741,0.00032396262],"study_design_scores_gemma":[0.0007913967,0.00019460137,0.0046892506,0.0002839298,0.0020875582,0.000031256706,0.016230317,0.022232428,0.09820928,0.8543671,0.00027903361,0.0006038493],"about_ca_topic_score_codex":0.000010195205,"about_ca_topic_score_gemma":0.0000036161991,"teacher_disagreement_score":0.07065933,"about_ca_system_score_codex":0.000054689805,"about_ca_system_score_gemma":0.00012547825,"threshold_uncertainty_score":0.79996127},"labels":[],"label_agreement":null},{"id":"W3198966726","doi":"10.1090/bproc/191","title":"Tableau evacuation and webs","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Johns Hopkins University","keywords":"Algorithm; German; Computer science; Artificial intelligence; Annotation; Archaeology","score_opus":0.020160024312653922,"score_gpt":0.28197484035139336,"score_spread":0.26181481603873946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198966726","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98431593,0.00013433829,0.0006619862,0.0066859215,0.00038652038,0.001587065,0.00005034971,0.00052302616,0.0056548733],"genre_scores_gemma":[0.8528269,0.0019709922,0.13178812,0.00047062954,0.00061995065,0.00029734802,0.000005385675,0.00045657047,0.011564095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99611986,0.000033703975,0.0012168096,0.00058605574,0.0011894353,0.00085412717],"domain_scores_gemma":[0.9956405,0.0011497029,0.0019090411,0.0005064861,0.00057076855,0.00022348494],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013289197,0.00061250495,0.0014264026,0.00007521537,0.00048048768,0.00018923127,0.00094196276,0.00019552174,0.000058241603],"category_scores_gemma":[0.0036498837,0.00046425208,0.00058971875,0.0024269205,0.002305963,0.0005900947,0.0013547885,0.0005678372,0.00011956572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009082776,0.00036565468,0.00068548357,0.008345269,0.0004785411,7.5814336e-7,0.0132393325,0.000005712657,0.010840887,0.9448495,0.020152804,0.0009452558],"study_design_scores_gemma":[0.00046923885,0.00031393394,0.00037000753,0.00086870475,0.00044026948,0.000034244782,0.01999248,0.005791706,0.0061492515,0.964057,0.0009999035,0.00051321083],"about_ca_topic_score_codex":0.0000088001125,"about_ca_topic_score_gemma":7.1360915e-7,"teacher_disagreement_score":0.13148901,"about_ca_system_score_codex":0.00016782698,"about_ca_system_score_gemma":0.000088020344,"threshold_uncertainty_score":0.9997809},"labels":[],"label_agreement":null},{"id":"W4223983977","doi":"10.1090/bproc/126","title":"A quadruple integral involving the product of generalized parabolic cylinder functions 𝐷ᵥ(𝛽𝑥)𝐷ᵤ(𝛼𝑧): Derivation and evaluation","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.04195874091635703,"score_gpt":0.29726880620593044,"score_spread":0.2553100652895734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4223983977","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9840312,0.0005008227,0.0017789016,0.0106494175,0.00024388869,0.0020097918,0.00011619371,0.00006404379,0.000605732],"genre_scores_gemma":[0.98535156,0.00014918658,0.01230996,0.00022039941,0.00016666182,0.00076363614,0.00002206478,0.000067190835,0.000949364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99601,0.00021875136,0.0012021031,0.00048720345,0.0016511009,0.00043085378],"domain_scores_gemma":[0.9953705,0.00075360446,0.0021564797,0.00045614515,0.0011740478,0.00008924483],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0021400838,0.00039302738,0.000788291,0.000111389454,0.001601586,0.0001167767,0.0006534388,0.000070868446,0.00041124635],"category_scores_gemma":[0.0029107044,0.00027985426,0.00058987824,0.0019161107,0.00196213,0.0004637797,0.00083393697,0.00072716735,0.000005521476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039471558,0.0022491305,0.0032725758,0.0021358577,0.0017517302,8.7492765e-8,0.038457874,0.0012407184,0.05938592,0.875011,0.012969652,0.003130736],"study_design_scores_gemma":[0.0016305094,0.0006817018,0.02181525,0.00042065134,0.0032638153,0.000100546175,0.13704827,0.16578302,0.005416389,0.6615479,0.00140986,0.0008821111],"about_ca_topic_score_codex":0.0002525411,"about_ca_topic_score_gemma":0.000015513127,"teacher_disagreement_score":0.21346313,"about_ca_system_score_codex":0.0003950933,"about_ca_system_score_gemma":0.0003092086,"threshold_uncertainty_score":0.99996537},"labels":[],"label_agreement":null},{"id":"W4363677973","doi":"10.1090/bproc/163","title":"Toeplitz separability, entanglement, and complete positivity using operator system duality","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science; Artificial intelligence","score_opus":0.06480981751487322,"score_gpt":0.3584226518829109,"score_spread":0.29361283436803765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4363677973","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9967993,0.0000111363515,0.00040115215,0.00092435745,0.000028938934,0.00077142956,0.00008243449,0.00024406028,0.00073718006],"genre_scores_gemma":[0.957914,0.000013626866,0.04162346,0.00008970479,0.00005315555,0.00006270313,0.0000010168204,0.00005646242,0.0001858702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976381,0.000056155266,0.0005836952,0.00043337606,0.00074297504,0.00054566545],"domain_scores_gemma":[0.99827373,0.00050036644,0.00040785834,0.00032203094,0.00033485252,0.00016114718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014065491,0.00028047254,0.00075858826,0.000030286594,0.00042014456,0.00011367497,0.00048628915,0.00005582414,0.000018039811],"category_scores_gemma":[0.0007875703,0.00020024237,0.00027245682,0.0010289315,0.0014704459,0.00035948548,0.0010902385,0.00027203737,0.000009204002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014318564,0.00030739524,0.018465742,0.008913979,0.00041288184,0.0000018712556,0.0061055766,0.000005962659,0.1965381,0.76722986,0.0016525114,0.00022293374],"study_design_scores_gemma":[0.0018070143,0.00081270846,0.013227251,0.001496618,0.0004787071,0.000354485,0.0970984,0.033191357,0.06414254,0.78502977,0.00062600407,0.0017351563],"about_ca_topic_score_codex":0.000025904872,"about_ca_topic_score_gemma":0.0000014077069,"teacher_disagreement_score":0.13239557,"about_ca_system_score_codex":0.00023838665,"about_ca_system_score_gemma":0.000047683196,"threshold_uncertainty_score":0.81656474},"labels":[],"label_agreement":null},{"id":"W4379618443","doi":"10.1090/bproc/174","title":"Comparing invariants of toric ideals of bipartite graphs","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Mathematics","score_opus":0.05338141015332539,"score_gpt":0.3135831871149618,"score_spread":0.26020177696163643,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4379618443","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99519396,0.000014647208,0.000294253,0.00072815304,0.00001722604,0.00033298388,0.000014162229,0.00007494331,0.0033296698],"genre_scores_gemma":[0.9814588,0.000057981593,0.018177675,0.0000325081,0.000013839414,0.00004589503,7.512034e-7,0.00002635406,0.0001862055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99846953,0.000013554967,0.0006971318,0.00016864263,0.0004096742,0.00024143947],"domain_scores_gemma":[0.9977564,0.0005566845,0.0010510843,0.0002581791,0.00032087546,0.00005672944],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055253046,0.00015970408,0.00073991745,0.000049941184,0.00010203065,0.000013703487,0.0005947846,0.000035604357,0.000027709411],"category_scores_gemma":[0.0007118956,0.000113987706,0.00036759183,0.0018492605,0.0009933322,0.00014773282,0.00041648542,0.00013255641,0.000006773152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002428983,0.00017558789,0.008587218,0.0013105711,0.0002067047,3.3734e-8,0.0059475186,0.0000018168832,0.057417046,0.91981435,0.0063742087,0.0001406719],"study_design_scores_gemma":[0.00015628754,0.00010336794,0.012676601,0.0001986862,0.00011065688,0.0000028834822,0.0070648505,0.0005075473,0.04468391,0.93428206,0.0000809936,0.00013216292],"about_ca_topic_score_codex":0.00001996395,"about_ca_topic_score_gemma":0.000001114546,"teacher_disagreement_score":0.017883424,"about_ca_system_score_codex":0.000021365548,"about_ca_system_score_gemma":0.00002491308,"threshold_uncertainty_score":0.46482837},"labels":[],"label_agreement":null},{"id":"W4387093061","doi":"10.1090/bproc/188","title":"Dynamically improper hypersurfaces for endomorphisms of projective space","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Endomorphism; Hypersurface; Generalization; Mathematics; Pure mathematics; Projective test; Projective space; Space (punctuation); Point (geometry); Mathematical analysis; Computer science; Geometry","score_opus":0.026469312862393745,"score_gpt":0.2948895420638931,"score_spread":0.2684202292014994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387093061","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9768578,0.000008042406,0.019047625,0.0011550301,0.000057233916,0.0013658558,0.00007970845,0.0001541909,0.0012745037],"genre_scores_gemma":[0.8628043,0.000018617891,0.1352444,0.00002694026,0.000041721047,0.00022449697,0.0000028221716,0.00005419649,0.0015825405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841297,0.000011832446,0.0005619848,0.00025763307,0.0004246963,0.00033088453],"domain_scores_gemma":[0.997853,0.00067453255,0.00078757585,0.00017881837,0.0004417661,0.00006434852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041112592,0.00020915843,0.000704918,0.00002987963,0.00014176301,0.000023470466,0.00040941822,0.00006181998,0.000013042377],"category_scores_gemma":[0.0013829372,0.0001295331,0.0005106671,0.00078931777,0.00091978646,0.00015532634,0.00022605603,0.00012438113,0.0000041866647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002305536,0.00033356147,0.0004775551,0.0029051777,0.00034857422,7.284312e-8,0.0036196166,0.000021447353,0.19068454,0.79844093,0.0022517096,0.0006862624],"study_design_scores_gemma":[0.0005234076,0.00050453783,0.00048384102,0.00029066822,0.00020284235,0.0000062402632,0.015525404,0.020374594,0.024603577,0.93696314,0.00019349955,0.00032826455],"about_ca_topic_score_codex":0.000015300026,"about_ca_topic_score_gemma":0.0000012380548,"teacher_disagreement_score":0.16608097,"about_ca_system_score_codex":0.000055993925,"about_ca_system_score_gemma":0.00003301385,"threshold_uncertainty_score":0.52822065},"labels":[],"label_agreement":null},{"id":"W4387344041","doi":"10.1090/bproc/194","title":"Categoricity for transfinite extensions of modules","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Grantová Agentura České Republiky; Fields Institute for Research in Mathematical Sciences","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Type (biology); Biology","score_opus":0.039024613886417314,"score_gpt":0.28729147425476476,"score_spread":0.24826686036834744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387344041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99375165,0.000014937299,0.002339426,0.002013041,0.00005027295,0.0005926966,0.000044374392,0.00017908099,0.0010144969],"genre_scores_gemma":[0.9253793,0.00011238218,0.073262,0.00012013649,0.00008331393,0.00011599397,0.0000018860552,0.00006695363,0.0008580702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983263,0.000007977232,0.00060029316,0.00026542752,0.0004110982,0.0003889248],"domain_scores_gemma":[0.99814546,0.0006176723,0.000573968,0.00022961036,0.00035450104,0.00007877537],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057936035,0.00022529394,0.0007402499,0.000039409337,0.00019080243,0.00002312286,0.00052732707,0.00006237316,0.000014522686],"category_scores_gemma":[0.0010561782,0.00015372135,0.000702165,0.00082575594,0.0010489208,0.00016663752,0.00016500668,0.00014794369,0.000005468489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087099186,0.00032855326,0.0004881623,0.0036480438,0.00027411143,1.3881753e-7,0.008423651,0.0000061000396,0.05662166,0.9089343,0.02028023,0.00090798055],"study_design_scores_gemma":[0.00023457353,0.0001587308,0.0012754132,0.00015055484,0.0001426237,0.0000057904435,0.008160781,0.0011720874,0.040725876,0.9474633,0.00031018726,0.00020010259],"about_ca_topic_score_codex":0.000011083235,"about_ca_topic_score_gemma":9.158172e-7,"teacher_disagreement_score":0.07092257,"about_ca_system_score_codex":0.000025438894,"about_ca_system_score_gemma":0.000026504513,"threshold_uncertainty_score":0.6268575},"labels":[],"label_agreement":null},{"id":"W4389432407","doi":"10.1090/bproc/202","title":"Failure of the well-rounded retract for outer space and Teichmüller space","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Université du Québec à Montréal","keywords":"Algorithm; Artificial intelligence; Type (biology); Computer science; Geology","score_opus":0.014930645967433678,"score_gpt":0.257993794144983,"score_spread":0.24306314817754934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389432407","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96421254,0.000080765756,0.00029672188,0.029628385,0.00018888994,0.0015970251,0.000076770855,0.00011876105,0.0038001265],"genre_scores_gemma":[0.96019083,0.0002297677,0.02371751,0.00039789127,0.0002171112,0.00009307788,0.0000016480578,0.00014183782,0.015010325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99699664,0.000046160298,0.00089303195,0.0005151839,0.00081731024,0.00073169044],"domain_scores_gemma":[0.9955066,0.001587007,0.0017580051,0.0005681209,0.0004311756,0.00014908919],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0016534403,0.00053459936,0.0012663106,0.000048730137,0.00047487862,0.00011298083,0.0011137152,0.0002470965,0.000098141645],"category_scores_gemma":[0.0022472902,0.00032524555,0.0011263053,0.0017475161,0.0034554966,0.00031728603,0.0010978593,0.0005791666,0.000027565702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004163379,0.0005040783,0.0027578077,0.013204627,0.0014450669,4.6018667e-7,0.033459894,0.00000333205,0.015039234,0.83513075,0.09778801,0.0002504035],"study_design_scores_gemma":[0.0006731402,0.0003496778,0.0016411382,0.0009880257,0.0006469642,0.000046133115,0.077522434,0.00071380497,0.026749188,0.88580024,0.0043550055,0.00051422586],"about_ca_topic_score_codex":0.000014503794,"about_ca_topic_score_gemma":0.0000013079626,"teacher_disagreement_score":0.09343301,"about_ca_system_score_codex":0.00007142123,"about_ca_system_score_gemma":0.00007423402,"threshold_uncertainty_score":0.99991995},"labels":[],"label_agreement":null},{"id":"W4392452272","doi":"10.1090/bproc/207","title":"Separation of homogeneous connected locally compact spaces","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous; Separation (statistics); Mathematics; Computer science; Combinatorics; Statistics","score_opus":0.017011926374533224,"score_gpt":0.31129577967322863,"score_spread":0.2942838532986954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392452272","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98759806,0.00016469083,0.003599639,0.0021799468,0.000069658425,0.00033589828,0.000019549934,0.0001851463,0.0058474075],"genre_scores_gemma":[0.97300756,0.000048744816,0.02578422,0.000089387104,0.00004790214,0.000010709621,8.6236724e-7,0.000033515524,0.0009771114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880385,0.000018061786,0.00044946696,0.00020938336,0.00028243265,0.00023681912],"domain_scores_gemma":[0.9985395,0.00066984637,0.0003923001,0.00015840997,0.00018726243,0.000052660198],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036635008,0.00019460586,0.0005671086,0.000025818372,0.000102956474,0.000031081257,0.0003431067,0.00007043506,0.0000776429],"category_scores_gemma":[0.0005792672,0.00012767894,0.00036538957,0.0004966767,0.0019483118,0.00019016773,0.00010492671,0.00021455667,0.000008107395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009266275,0.00012989267,0.00016533337,0.0015388224,0.00028950174,5.97389e-7,0.0045973393,0.000009228494,0.03149632,0.9567947,0.004568791,0.00031684065],"study_design_scores_gemma":[0.00010087259,0.00021932651,0.000092781556,0.0002760874,0.00014227712,0.000058365902,0.0057649803,0.0012272192,0.050272115,0.94119734,0.00048619468,0.00016245502],"about_ca_topic_score_codex":0.000004032884,"about_ca_topic_score_gemma":7.401929e-7,"teacher_disagreement_score":0.02218458,"about_ca_system_score_codex":0.000039257553,"about_ca_system_score_gemma":0.00004274502,"threshold_uncertainty_score":0.7178636},"labels":[],"label_agreement":null},{"id":"W4394602915","doi":"10.1090/bproc/215","title":"Measure induced Hankel and Toeplitz type operators on weighted Dirichlet spaces","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Measure (data warehouse); Toeplitz matrix; Mathematics; Type (biology); Dirichlet distribution; Pure mathematics; Discrete mathematics; Mathematical analysis; Computer science; Data mining","score_opus":0.025564458827755723,"score_gpt":0.27986015082714144,"score_spread":0.25429569199938573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394602915","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9901959,0.00014353082,0.00004126259,0.0035595174,0.00009584923,0.0003514385,0.000010345493,0.00019459783,0.005407577],"genre_scores_gemma":[0.9906558,0.00007304413,0.0076754577,0.00045189442,0.00010476082,0.0000286021,4.7005867e-7,0.00006633062,0.00094363774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984814,0.000022995022,0.000356422,0.00035358124,0.00047324537,0.00031236713],"domain_scores_gemma":[0.9989592,0.00034825408,0.00016838973,0.00020352904,0.00020143522,0.00011919573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000629625,0.0002930086,0.00056129496,0.000031526786,0.00019226677,0.00018324374,0.00036875944,0.00009648102,0.000066049135],"category_scores_gemma":[0.0005958267,0.00017499765,0.00021565425,0.0007385024,0.00080755627,0.00021800547,0.00021955452,0.0003861497,0.000025399699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010621458,0.00016686397,0.0003223602,0.0013317332,0.0003521664,0.0000014223324,0.008378503,1.0765172e-7,0.036585428,0.93640167,0.015289628,0.0010639195],"study_design_scores_gemma":[0.00042503676,0.0011304667,0.00039030798,0.0017067908,0.00042654003,0.000088128,0.024459967,0.0010309268,0.06638687,0.8991445,0.0039295363,0.00088095723],"about_ca_topic_score_codex":0.000005660129,"about_ca_topic_score_gemma":4.056872e-7,"teacher_disagreement_score":0.03725718,"about_ca_system_score_codex":0.000055113538,"about_ca_system_score_gemma":0.000054118886,"threshold_uncertainty_score":0.7136197},"labels":[],"label_agreement":null},{"id":"W4396915620","doi":"10.1090/bproc/176","title":"On the divergence of Taylor series in de Branges–Rovnyak spaces","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Series (stratigraphy); Divergence (linguistics); Taylor series; Mathematics; Philosophy; Mathematical analysis; Geology; Linguistics; Paleontology","score_opus":0.019382711976428876,"score_gpt":0.27025217375913435,"score_spread":0.25086946178270547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396915620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98848706,0.00008560815,0.00014541195,0.0068047857,0.000048627324,0.0003269667,0.000018168379,0.000070631504,0.004012763],"genre_scores_gemma":[0.99200886,0.000096626754,0.0066331723,0.00028714,0.00004178262,0.00005178871,1.7094123e-7,0.000036906862,0.0008435499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986248,0.000031446296,0.0004108667,0.00021841821,0.0004045635,0.00030992532],"domain_scores_gemma":[0.9984904,0.00090421643,0.00024696553,0.00020839478,0.000097631346,0.000052374406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010402818,0.00021116968,0.0004809059,0.000025769921,0.00010949058,0.00006149848,0.00063710014,0.000060272745,0.00014747166],"category_scores_gemma":[0.0011481855,0.00011265509,0.00030772155,0.00068899087,0.0016706202,0.00019664211,0.0002451511,0.0003230302,0.000011709988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067183675,0.00011027285,0.00077580416,0.0011449896,0.00009642951,7.5332974e-7,0.012545071,0.0000016301868,0.010711834,0.96934366,0.0050367545,0.00016559772],"study_design_scores_gemma":[0.000084668674,0.0002097199,0.0003788822,0.0006008654,0.00007044642,0.000021907781,0.02519125,0.0004189106,0.0345367,0.9379814,0.00032531092,0.00017990866],"about_ca_topic_score_codex":0.000016934724,"about_ca_topic_score_gemma":0.0000025397444,"teacher_disagreement_score":0.03136225,"about_ca_system_score_codex":0.000060692415,"about_ca_system_score_gemma":0.000044450633,"threshold_uncertainty_score":0.61554694},"labels":[],"label_agreement":null},{"id":"W4416219091","doi":"10.1090/bproc/244","title":"Condensation and left-orderable groups","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Condensation; Group (periodic table); Conjugacy class; Relation (database); Space (punctuation)","score_opus":0.01471244849812103,"score_gpt":0.27559643920339144,"score_spread":0.2608839907052704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416219091","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98646015,0.00012618369,0.00050821144,0.0058695097,0.000085199725,0.0002373999,0.000004111103,0.00016485188,0.006544363],"genre_scores_gemma":[0.97806656,0.00007957612,0.0194235,0.00032771114,0.00006711767,0.000019010233,3.3787464e-7,0.000029250312,0.0019869101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897933,0.000013447253,0.0003177326,0.00024039121,0.00020304412,0.00024603965],"domain_scores_gemma":[0.99915946,0.00041577837,0.00017230531,0.00011943584,0.00008062359,0.00005242281],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042099165,0.00016349329,0.00038997136,0.000020027768,0.00014805814,0.00006094692,0.00023735328,0.00007838483,0.00013224807],"category_scores_gemma":[0.000396468,0.00010922353,0.00018785243,0.00024132532,0.0016178656,0.00019081685,0.00018941732,0.00025277547,0.0000104565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012851345,0.000032240692,0.0004404641,0.00083506916,0.00012649606,4.2944805e-7,0.004342307,6.651994e-8,0.0047400487,0.98557895,0.0035363801,0.0003546643],"study_design_scores_gemma":[0.00007287407,0.00011355758,0.00025967296,0.00010434652,0.00009264416,0.00016708813,0.004204492,0.00043621732,0.004644336,0.9891141,0.00066306454,0.00012759284],"about_ca_topic_score_codex":0.000005121402,"about_ca_topic_score_gemma":0.0000010105658,"teacher_disagreement_score":0.018915288,"about_ca_system_score_codex":0.00003974881,"about_ca_system_score_gemma":0.000032499764,"threshold_uncertainty_score":0.59610933},"labels":[],"label_agreement":null},{"id":"W4416967158","doi":"10.1090/bproc/271","title":"On abelian varieties whose torsion is not self-dual","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society Series B","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Science Foundation Ireland; Simons Foundation","keywords":"Abelian group; Torsion subgroup; Modulo; Torsion (gastropod); Prime (order theory); Abelian extension; Galois extension; Galois group","score_opus":0.011130152596825543,"score_gpt":0.2638856274100393,"score_spread":0.25275547481321375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416967158","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96907026,0.000018183206,0.00029057736,0.0068552387,0.000120325494,0.00041622276,0.000012775366,0.0002567523,0.022959685],"genre_scores_gemma":[0.9531029,0.0000506194,0.034153923,0.0038369852,0.00008110269,0.000053810723,5.7807125e-7,0.000051613177,0.008668495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981019,0.00002132044,0.0005376212,0.0003512046,0.0005840712,0.00040387508],"domain_scores_gemma":[0.99819404,0.0006438679,0.0005101571,0.00033647206,0.00022947,0.000086018415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006962142,0.00032209646,0.0006675367,0.000048831494,0.00033961434,0.00007130177,0.0006182643,0.00011249215,0.00015685137],"category_scores_gemma":[0.0009236154,0.0002185704,0.0005209634,0.0009588182,0.0009599617,0.00020486728,0.00044920476,0.00037201156,0.00003218804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014243834,0.00039933893,0.00022108867,0.0010680831,0.00028728263,1.5955058e-7,0.006123779,1.5001153e-7,0.0020875253,0.940168,0.049285863,0.00021627032],"study_design_scores_gemma":[0.00024535568,0.00021374172,0.00029265916,0.00026329406,0.00017518469,0.000007362249,0.008193946,0.00008465716,0.052296855,0.9364508,0.0015401845,0.0002359812],"about_ca_topic_score_codex":0.000005597859,"about_ca_topic_score_gemma":1.16869636e-7,"teacher_disagreement_score":0.05020933,"about_ca_system_score_codex":0.00009110168,"about_ca_system_score_gemma":0.000048879625,"threshold_uncertainty_score":0.89130425},"labels":[],"label_agreement":null}]}