{"meta":{"query_hash":"d0858968c1b9","filters":{"venue":"Proceedings of the American Mathematical Society"},"cohort_total":630,"direct_labels_cover":0,"predictions_cover":630,"exported":630,"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/d0858968c1b9","api":"https://metacan.xera.ac/api/v1/cohort?venue=Proceedings+of+the+American+Mathematical+Society"},"results":[{"id":"W1482302211","doi":"10.1090/s0002-9939-03-07261-7","title":"A generalization of a result of Kazhdan and Lusztig","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; National University of Singapore; National Security Agency; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Nilpotent; Generalization; Pure mathematics; Orbit (dynamics); Lie algebra; Field (mathematics); Lie group; Simple (philosophy); Nilpotent group; Algebra over a field; Group (periodic table); Combinatorics; Physics; Mathematical analysis","score_opus":0.0177838434142294,"score_gpt":0.2844394132889752,"score_spread":0.2666555698747458,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1482302211","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.112886064,0.0041231825,0.5216844,0.00753878,0.0040989807,0.00037517556,0.0011787182,0.0014454344,0.34666926],"genre_scores_gemma":[0.7713022,0.0031726586,0.12077718,0.0045021824,0.002837623,0.00038992355,0.001112728,0.0005648057,0.09534068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99904877,0.00014029353,0.00006250456,0.0003275623,0.0002587295,0.00016210436],"domain_scores_gemma":[0.9991854,0.00015770592,0.000062446125,0.00021701943,0.00024308037,0.00013440955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090547063,0.001274015,0.0012507448,0.00245494,0.002718016,0.0018091679,0.0012358581,0.0008587885,0.010494695],"category_scores_gemma":[0.0024094011,0.00046607395,0.0027052849,0.0013073668,0.0028163358,0.005933561,0.006896241,0.0032336726,0.0034479615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006360196,0.000067271685,0.0004844961,0.00015765974,0.000046668265,0.0002720087,0.00088487315,0.0012595884,0.0024410961,0.9715898,0.006809391,0.015923588],"study_design_scores_gemma":[0.000027787835,0.00006658471,0.00046724558,0.000027527161,0.000031999807,0.00035120634,0.00018261452,0.0032871054,0.0011478625,0.9719364,0.022446228,0.000027482098],"about_ca_topic_score_codex":0.0017340214,"about_ca_topic_score_gemma":0.0012147606,"teacher_disagreement_score":0.010494695,"about_ca_system_score_codex":0.0013961184,"about_ca_system_score_gemma":0.0009915909,"threshold_uncertainty_score":0.035108328},"labels":[],"label_agreement":null},{"id":"W1482736558","doi":"10.1090/s0002-9939-05-07752-x","title":"The Lax conjecture is true","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":105,"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; University of Minnesota","keywords":"Conjecture; Lax pair; Counterexample; Class (philosophy); Generalization","score_opus":0.006701122251497698,"score_gpt":0.23469750510722423,"score_spread":0.22799638285572654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1482736558","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3148532,0.013777616,0.084474176,0.12136202,0.008608962,0.00005563643,0.0011039535,0.00097223616,0.45479217],"genre_scores_gemma":[0.9603646,0.0023274934,0.0047674333,0.0059322785,0.0025265594,0.00004247285,0.00064700487,0.00009969015,0.023292482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881494,0.00021416327,0.00006325754,0.00032926467,0.00029771306,0.00028075196],"domain_scores_gemma":[0.9958269,0.0018522552,0.0004428943,0.0006191484,0.00079665147,0.000462123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016676767,0.00055147486,0.0011349602,0.0009833726,0.004722007,0.0065183695,0.00078035303,0.0028889272,0.01342677],"category_scores_gemma":[0.008230374,0.00054888293,0.0005988717,0.0012859667,0.00884414,0.011900748,0.0036386305,0.004582822,0.004978118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010583303,0.000019202733,0.0007787989,0.00007058059,0.000012508858,0.00016031737,0.00055288605,0.00032393553,0.00049243105,0.97911876,0.009378407,0.008986212],"study_design_scores_gemma":[0.000024730236,0.000021186932,0.00022871698,0.000053683845,0.0000073571737,0.000114787734,0.00030508847,0.0008169642,0.0005449932,0.97807765,0.019782582,0.000022246144],"about_ca_topic_score_codex":0.000798671,"about_ca_topic_score_gemma":0.0007017576,"teacher_disagreement_score":0.01342677,"about_ca_system_score_codex":0.001311689,"about_ca_system_score_gemma":0.00091075787,"threshold_uncertainty_score":0.044917047},"labels":[],"label_agreement":null},{"id":"W1484288322","doi":"10.1090/s0002-9939-04-07506-9","title":"The independence of characters on non-abelian groups","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Independence (probability theory); Mathematics; Kronecker delta; Exponential function; Pure mathematics; Rank of an abelian group; Elementary abelian group; Discrete mathematics; Algebra over a field; Mathematical analysis; Statistics; Physics; Quantum mechanics","score_opus":0.013862734617944149,"score_gpt":0.28521966024046336,"score_spread":0.27135692562251923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1484288322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9071587,0.00020843992,0.085770346,0.0003203819,0.000030038467,0.00001279775,0.00005747616,0.000085357766,0.006356467],"genre_scores_gemma":[0.99475336,0.0001006288,0.0034639812,0.000041009705,0.00004229221,0.000013528519,0.00005653535,0.000028913817,0.0014996829],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99905175,0.00035716628,0.000031653934,0.00016565432,0.00024383792,0.00014998269],"domain_scores_gemma":[0.98721397,0.0074982354,0.0020504207,0.0018602875,0.00061975507,0.0007573567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010232199,0.00039273416,0.0006394056,0.0012405089,0.0007118359,0.002043525,0.00096986286,0.00069598656,0.0020931452],"category_scores_gemma":[0.015283732,0.00048490733,0.00041141352,0.0007143895,0.0037749722,0.0043492527,0.0019528386,0.0016982494,0.0003325542],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034218372,0.00008482388,0.008917734,0.000103476224,0.00006418482,0.00044742567,0.0015251788,0.021699991,0.011844175,0.9426752,0.00083195855,0.011463676],"study_design_scores_gemma":[0.000029062698,0.00008802814,0.004557616,0.000027698701,0.000026295802,0.0004086151,0.00021049718,0.14738585,0.0043115923,0.84149873,0.0014206696,0.000035417852],"about_ca_topic_score_codex":0.0002544806,"about_ca_topic_score_gemma":0.00019713427,"teacher_disagreement_score":0.0020931452,"about_ca_system_score_codex":0.00042639012,"about_ca_system_score_gemma":0.00018697571,"threshold_uncertainty_score":0.0070022345},"labels":[],"label_agreement":null},{"id":"W1484506367","doi":"10.1090/s0002-9939-06-08297-9","title":"The length of a shortest closed geodesic and the area of a 2-dimensional sphere","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Type (biology); Computer science; Mathematics; Biology","score_opus":0.011179230425319597,"score_gpt":0.23422772619992613,"score_spread":0.22304849577460653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1484506367","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34178573,0.009931292,0.39812768,0.0052027195,0.0012980603,0.000094742725,0.0026138348,0.00081433903,0.24013159],"genre_scores_gemma":[0.868408,0.0040832185,0.08306131,0.0006427493,0.0014327371,0.00024401878,0.0019196547,0.0008896389,0.039318614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903595,0.00024418873,0.00006189239,0.0002874098,0.00026500897,0.000105521416],"domain_scores_gemma":[0.99658835,0.0016132869,0.00047890708,0.00020198172,0.0007067118,0.00041067982],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009053106,0.0009129794,0.0006687447,0.0021946544,0.00093094516,0.0023995019,0.0014792066,0.0010534037,0.008050369],"category_scores_gemma":[0.0074232593,0.00035880296,0.0005517011,0.0010682198,0.0022946673,0.0054130475,0.0024478165,0.0017994916,0.002399561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009717156,0.000016643036,0.0013766721,0.00021004617,0.000030488658,0.00016700187,0.0005834544,0.006451609,0.005061823,0.95834744,0.007546865,0.020110747],"study_design_scores_gemma":[0.000021199448,0.00012346446,0.0052654487,0.00009144316,0.000030823612,0.00045611835,0.00039184836,0.0554309,0.0041173883,0.8950227,0.038972847,0.00007590136],"about_ca_topic_score_codex":0.0023195855,"about_ca_topic_score_gemma":0.0018545948,"teacher_disagreement_score":0.008050369,"about_ca_system_score_codex":0.0013589116,"about_ca_system_score_gemma":0.0005064918,"threshold_uncertainty_score":0.026931226},"labels":[],"label_agreement":null},{"id":"W1486387384","doi":"10.1090/proc/13736","title":"Homeomorphisms of Čech–Stone remainders: the zero-dimensional case","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Zero (linguistics); Homeomorphism (graph theory); Pure mathematics; Linear subspace; Axiom; Forcing (mathematics); Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.03425505775570233,"score_gpt":0.315774969328076,"score_spread":0.2815199115723737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1486387384","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8176385,0.00042805367,0.14825805,0.00068887876,0.00014604922,0.000047496975,0.000108023414,0.00013369064,0.032551352],"genre_scores_gemma":[0.97214794,0.00027768384,0.01756301,0.0001466198,0.00011169394,0.00004657188,0.0001189393,0.00003795229,0.00954949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993606,0.00009808987,0.000052583302,0.00015994196,0.00020849903,0.00012030263],"domain_scores_gemma":[0.9991315,0.00023407585,0.00014058386,0.00018233809,0.00012719286,0.00018437768],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000752565,0.0004438148,0.00059417286,0.0008946314,0.0011617353,0.001844963,0.00054836896,0.0005438355,0.0018934141],"category_scores_gemma":[0.0021464701,0.0002909484,0.0007730135,0.00047125728,0.003576978,0.0035396568,0.004458339,0.0016721546,0.00031810932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035208068,0.000018571014,0.00061594986,0.00003073659,0.000008370524,0.00026749494,0.00058684114,0.00046125738,0.0042598275,0.99014974,0.00016694544,0.0033991095],"study_design_scores_gemma":[0.000044761568,0.00013077474,0.0018839961,0.0000222183,0.00002955536,0.00088773743,0.0008123304,0.0070763477,0.009822269,0.9711963,0.008065709,0.00002790815],"about_ca_topic_score_codex":0.0005143397,"about_ca_topic_score_gemma":0.00040296724,"teacher_disagreement_score":0.0018934141,"about_ca_system_score_codex":0.0005782168,"about_ca_system_score_gemma":0.00037097835,"threshold_uncertainty_score":0.0063340664},"labels":[],"label_agreement":null},{"id":"W1487163435","doi":"10.1090/s0002-9939-07-08784-9","title":"Volume of truncated fundamental domains","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Mathematics; Truncation (statistics); Function (biology); Constant (computer programming); Domain (mathematical analysis); Cusp (singularity); Mathematical analysis; Polynomial; Volume (thermodynamics); Exponential function; Analytic function; Riemann zeta function; Pure mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.01627313045546418,"score_gpt":0.2962117487804711,"score_spread":0.2799386183250069,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1487163435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85995656,0.0011375158,0.075745806,0.00107649,0.00011696164,0.000022510883,0.00034969652,0.0001284222,0.061466023],"genre_scores_gemma":[0.98665255,0.00036378714,0.004022613,0.000050099625,0.00014075277,0.000022833392,0.00020491735,0.00004649211,0.00849593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996082,0.000054285483,0.000012223922,0.00008970055,0.0001385726,0.00009692267],"domain_scores_gemma":[0.9988502,0.0004207478,0.00015509698,0.000110445006,0.00018658696,0.00027677702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006505508,0.00030721072,0.00045369036,0.0018708265,0.0006528738,0.0022404331,0.00095855986,0.00045257763,0.0033237291],"category_scores_gemma":[0.003885292,0.00018953445,0.0003603447,0.0004859188,0.002397544,0.0031308357,0.0018811031,0.0011524688,0.00030188984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002618311,0.000007551336,0.0004603995,0.00002473783,0.000004584569,0.000043330125,0.00015708308,0.0022733067,0.00141199,0.9915047,0.00040631084,0.0036797132],"study_design_scores_gemma":[0.000012079225,0.000017343596,0.001116545,0.000019181432,0.0000052570713,0.0002021477,0.00013389974,0.019371578,0.0015785473,0.97358996,0.0039410745,0.000012385952],"about_ca_topic_score_codex":0.0006558348,"about_ca_topic_score_gemma":0.0003674734,"teacher_disagreement_score":0.0033237291,"about_ca_system_score_codex":0.0017961962,"about_ca_system_score_gemma":0.0004397289,"threshold_uncertainty_score":0.013032436},"labels":[],"label_agreement":null},{"id":"W1487634279","doi":"10.1090/s0002-9939-01-06164-0","title":"A short proof of an index theorem","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of New Brunswick","funders":"","keywords":"Index (typography); Mathematics; Mathematical economics; Calculus (dental); Computer science; Medicine; Programming language","score_opus":0.030913424272466003,"score_gpt":0.34261681096468877,"score_spread":0.31170338669222275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1487634279","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010758099,0.013277269,0.6024492,0.02931673,0.022871433,0.00053021056,0.0045539583,0.0032437327,0.3129994],"genre_scores_gemma":[0.2917697,0.021543108,0.4521017,0.025605816,0.019515757,0.0022484176,0.0061179907,0.004502034,0.17659554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984856,0.00019451203,0.00010122582,0.00024930885,0.00080681115,0.00016268324],"domain_scores_gemma":[0.9980895,0.00082486833,0.00010945195,0.00020764605,0.00060732366,0.00016119031],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002287601,0.0024648507,0.0015010522,0.002935426,0.0023741021,0.002945891,0.0024515535,0.0019401883,0.04085017],"category_scores_gemma":[0.0050805146,0.0008078788,0.0034326254,0.0026163955,0.0025370026,0.005509149,0.0059821983,0.0052108066,0.011382977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007029649,0.00013275193,0.00031138078,0.0008767203,0.00008077006,0.000650787,0.00039749636,0.0012843926,0.0044456744,0.86107236,0.08744741,0.043230023],"study_design_scores_gemma":[0.00003297298,0.00006322236,0.0005130993,0.00013639328,0.000052487754,0.00034567335,0.000073712814,0.0036626759,0.0020079087,0.8827909,0.11027246,0.000048423804],"about_ca_topic_score_codex":0.0019245278,"about_ca_topic_score_gemma":0.0016660216,"teacher_disagreement_score":0.04085017,"about_ca_system_score_codex":0.0029661735,"about_ca_system_score_gemma":0.0014308412,"threshold_uncertainty_score":0.13665742},"labels":[],"label_agreement":null},{"id":"W1488469018","doi":"10.1090/s0002-9939-02-06685-6","title":"𝐿^{𝑝} boundedness of localization operators associated to left regular representations","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":48,"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":"Annotation; Semantics (computer science); Algorithm; Mathematics; Computer science; Hausdorff space; Wavelet; Artificial intelligence; Pure mathematics; Programming language","score_opus":0.039728718834941314,"score_gpt":0.324911320053294,"score_spread":0.28518260121835265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1488469018","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26120132,0.0012023929,0.657075,0.003950087,0.00046407705,0.00006445411,0.00031690102,0.00066887983,0.07505695],"genre_scores_gemma":[0.9440012,0.00085903227,0.035204377,0.00061956974,0.0003898891,0.0001187709,0.00017305011,0.00030798253,0.018326066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991352,0.00018505959,0.000044496715,0.00018611923,0.00024727744,0.00020179039],"domain_scores_gemma":[0.9969879,0.0014052775,0.00043158926,0.0002312894,0.00058231666,0.00036160744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014599423,0.00080372475,0.0005658851,0.0016244759,0.0009824604,0.001837975,0.0009935711,0.0008975998,0.008234704],"category_scores_gemma":[0.0059982995,0.00030855156,0.0009808976,0.0007368157,0.0031130295,0.00395463,0.0034194672,0.0025844073,0.0011085174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023481201,0.000016760914,0.00028497097,0.00007114267,0.000010645181,0.00019608515,0.0003901471,0.0009893907,0.0023080637,0.9869962,0.001225357,0.0074877753],"study_design_scores_gemma":[0.000013849125,0.000039265113,0.00035975862,0.0000270571,0.000013918798,0.00023155649,0.00021276253,0.020417497,0.0028936863,0.97308415,0.0026871248,0.00001941898],"about_ca_topic_score_codex":0.00091765565,"about_ca_topic_score_gemma":0.0005866611,"teacher_disagreement_score":0.008234704,"about_ca_system_score_codex":0.0011015618,"about_ca_system_score_gemma":0.0005613225,"threshold_uncertainty_score":0.027547836},"labels":[],"label_agreement":null},{"id":"W1488869757","doi":"10.1090/s0002-9939-2010-10459-8","title":"Drinfeld modular forms modulo 𝔭","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Modulo; Modular design; Arithmetic; Modular form; Computer science; Mathematics; Programming language; Pure mathematics; Discrete mathematics","score_opus":0.012241428240138392,"score_gpt":0.279620195791048,"score_spread":0.2673787675509096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1488869757","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08679008,0.00552778,0.13370354,0.006082878,0.00185538,0.000067163804,0.0007496099,0.0003735287,0.7648501],"genre_scores_gemma":[0.7573479,0.004143643,0.04401183,0.0015814271,0.0024553926,0.000113317255,0.0006964075,0.00025078916,0.18939915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992508,0.0001611767,0.0000339059,0.00018602987,0.0002500025,0.00011792006],"domain_scores_gemma":[0.9995821,0.000099696575,0.00005203572,0.0000733503,0.0001354143,0.00005743971],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00098592,0.0007472268,0.00048033177,0.0016678505,0.0011746252,0.0019960525,0.000691134,0.0008022999,0.012264139],"category_scores_gemma":[0.0017928026,0.0003391823,0.0007732807,0.0010515066,0.002669905,0.0038341132,0.0015817365,0.0021811384,0.0030974227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005190658,0.0000030273145,0.00003031329,0.000013450966,0.000002133865,0.000016801927,0.00006689463,0.00013298714,0.00016387583,0.9940058,0.0020276175,0.0035317305],"study_design_scores_gemma":[0.000007937369,0.000010234407,0.00008634733,0.000010948943,0.0000029620774,0.00006384979,0.00003201269,0.000954626,0.00026702858,0.97821325,0.020344118,0.000006585886],"about_ca_topic_score_codex":0.0013616865,"about_ca_topic_score_gemma":0.0010821456,"teacher_disagreement_score":0.012264139,"about_ca_system_score_codex":0.00222797,"about_ca_system_score_gemma":0.0007131035,"threshold_uncertainty_score":0.041027606},"labels":[],"label_agreement":null},{"id":"W1489505942","doi":"10.1090/s0002-9939-2013-11771-5","title":"$L^p$-nuclear pseudo-differential operators on $\\mathbb {Z}$ and $\\mathbb {S}^1$","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":45,"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":"Universidad del Valle","keywords":"Differential operator; TRACE (psycholinguistics); Differential (mechanical device); Combinatorics; Mathematics; Physics; Mathematical physics; Pure mathematics; Philosophy; Thermodynamics","score_opus":0.021377138738914767,"score_gpt":0.2880658775670386,"score_spread":0.26668873882812383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1489505942","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3118966,0.00065654493,0.38239712,0.0038217977,0.001100578,0.00018716883,0.00061088434,0.00073306955,0.29859626],"genre_scores_gemma":[0.90105724,0.00048655065,0.051161665,0.00086515374,0.0003533852,0.00030463305,0.00063130824,0.00057677855,0.044563223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906,0.00019841788,0.00005865971,0.00016088577,0.00031051706,0.00021147553],"domain_scores_gemma":[0.99784863,0.0007609028,0.0002804509,0.00014064954,0.00052209076,0.00044728394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012767153,0.00094114157,0.00062460214,0.0015356606,0.0017204791,0.0026065996,0.0011892641,0.0016392315,0.017394807],"category_scores_gemma":[0.0054396493,0.00039406118,0.0007803816,0.0007183915,0.003680007,0.0048577655,0.0023375289,0.0032158878,0.0022150741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036763686,0.000016508528,0.00008192638,0.000018270626,0.0000019377528,0.00014060247,0.00010993512,0.00030183923,0.0021553994,0.9940303,0.00087175134,0.002234684],"study_design_scores_gemma":[0.000034559715,0.000056974823,0.00033726785,0.000038864353,0.0000064635383,0.00055381306,0.00032597626,0.018245816,0.008348694,0.9670281,0.00497718,0.000046372494],"about_ca_topic_score_codex":0.000850184,"about_ca_topic_score_gemma":0.00096404,"teacher_disagreement_score":0.017394807,"about_ca_system_score_codex":0.0014693289,"about_ca_system_score_gemma":0.0018283145,"threshold_uncertainty_score":0.05819142},"labels":[],"label_agreement":null},{"id":"W1489506653","doi":"10.1090/s0002-9939-06-08533-9","title":"Nikolskii-type inequalities for shift invariant function spaces","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Combinatorics; Invariant (physics); Dimension (graph theory); Mathematics; Type (biology); Physics; Mathematical physics","score_opus":0.0281169642045367,"score_gpt":0.27394932014360435,"score_spread":0.24583235593906766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1489506653","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.077427566,0.004946458,0.41455296,0.007935722,0.0013800617,0.00009765793,0.0017800544,0.0003709409,0.49150854],"genre_scores_gemma":[0.753748,0.0058751004,0.08491804,0.0025128068,0.0014229307,0.00048341294,0.0020877772,0.0007474326,0.14820443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854374,0.00034329505,0.00008264759,0.00026021886,0.0004750003,0.00029526392],"domain_scores_gemma":[0.9972556,0.001500129,0.00019186009,0.000219321,0.0006150616,0.0002179881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027978853,0.0012973925,0.0009181166,0.002989534,0.0017247226,0.0034776425,0.0018238063,0.0013291296,0.021519128],"category_scores_gemma":[0.0070037288,0.00042455606,0.0015310738,0.0019135926,0.0024389045,0.0067072585,0.0029492544,0.004944055,0.0033177715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014045368,0.0000076086444,0.000112665584,0.0000443619,0.000006656426,0.000024367455,0.00007151878,0.00063418556,0.00029499232,0.9919132,0.0022798155,0.0045966376],"study_design_scores_gemma":[0.000008314,0.000011978909,0.0003446618,0.000029103825,0.000009428178,0.000039657563,0.000060284914,0.013097915,0.0004376268,0.97858447,0.0073621483,0.000014424485],"about_ca_topic_score_codex":0.003631524,"about_ca_topic_score_gemma":0.0044911085,"teacher_disagreement_score":0.021519128,"about_ca_system_score_codex":0.0047167526,"about_ca_system_score_gemma":0.0015173402,"threshold_uncertainty_score":0.07198864},"labels":[],"label_agreement":null},{"id":"W1489911484","doi":"10.1090/s0002-9939-04-07550-1","title":"Characterizations of elements with compact support in the dual spaces of 𝐴_{𝑝}(𝐺)-modules of 𝑃𝑀_{𝑝}(𝐺)","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Banach space; Subspace topology; Complement (music); Physics; Discrete mathematics; Mathematical analysis","score_opus":0.028717044296365048,"score_gpt":0.3295828529854516,"score_spread":0.3008658086890865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1489911484","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7352644,0.0008218298,0.16432002,0.0013696419,0.00026384252,0.00009640287,0.0007056333,0.0004908366,0.09666743],"genre_scores_gemma":[0.94468975,0.00033229167,0.015737344,0.0002795973,0.0003613427,0.00014065769,0.0010298193,0.00027013992,0.03715903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889,0.00018430903,0.00005981961,0.00027595123,0.0002956535,0.0002942897],"domain_scores_gemma":[0.9981395,0.00038252812,0.0003233302,0.00014650753,0.00038990655,0.0006182673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085568207,0.0009524063,0.00067796395,0.0028168675,0.0016981823,0.0038134593,0.0010585049,0.0009760295,0.012703347],"category_scores_gemma":[0.0024633491,0.00056418113,0.0009213542,0.0011403918,0.003307821,0.0050093024,0.0036950097,0.0023210272,0.0018965147],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009132205,0.000040144336,0.00062604836,0.000037895334,0.000012940232,0.000110787754,0.00070659904,0.00031653815,0.001756968,0.99059707,0.0007724969,0.0049312594],"study_design_scores_gemma":[0.000054862518,0.0001163648,0.0016126506,0.000041935255,0.00002719437,0.00043970387,0.0009351477,0.0055115335,0.004188308,0.9756157,0.011407314,0.00004919064],"about_ca_topic_score_codex":0.0005631759,"about_ca_topic_score_gemma":0.000442578,"teacher_disagreement_score":0.012703347,"about_ca_system_score_codex":0.0011394992,"about_ca_system_score_gemma":0.00048111952,"threshold_uncertainty_score":0.04249698},"labels":[],"label_agreement":null},{"id":"W1493384889","doi":"10.1090/s0002-9939-03-06941-7","title":"On the irrationality of a certain multivariate 𝑞 series","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Identities","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":"St. Francis Xavier University; Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Irrationality; Irrational number; Rational number; Series (stratigraphy); Combinatorics; Mathematics; Rationality; Philosophy; Geometry; Biology","score_opus":0.03784116503820553,"score_gpt":0.3105049561596053,"score_spread":0.2726637911213998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493384889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44828027,0.0025285212,0.24862295,0.0067370376,0.0010836903,0.000055784312,0.00045624332,0.00091966166,0.29131588],"genre_scores_gemma":[0.96560484,0.0011801373,0.009117135,0.00042697784,0.0007479208,0.00004257789,0.00016412523,0.00017517888,0.022541255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988405,0.00027333235,0.000055433316,0.00028437006,0.00029999277,0.00024638922],"domain_scores_gemma":[0.9960955,0.001934486,0.00062048144,0.00039791787,0.00056543376,0.00038621295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024675394,0.00109633,0.00082144066,0.0017508701,0.0013163778,0.0025638712,0.000882881,0.0005199899,0.012432387],"category_scores_gemma":[0.008383236,0.00036705134,0.0011260691,0.0011409459,0.004945221,0.0040356717,0.0023493145,0.003507481,0.0018215516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063966574,0.000018050332,0.0010278526,0.000068044494,0.000021979602,0.0002288956,0.00027747182,0.0014064949,0.0008386286,0.98775566,0.0019750718,0.006317892],"study_design_scores_gemma":[0.000029002318,0.00007415974,0.001343853,0.00004584404,0.000055796903,0.00046681345,0.00024138021,0.016603282,0.0018875606,0.96983486,0.00938326,0.000034180317],"about_ca_topic_score_codex":0.0015276319,"about_ca_topic_score_gemma":0.0009878258,"teacher_disagreement_score":0.012432387,"about_ca_system_score_codex":0.0018164061,"about_ca_system_score_gemma":0.0005789817,"threshold_uncertainty_score":0.04159051},"labels":[],"label_agreement":null},{"id":"W1493425563","doi":"10.1090/s0002-9939-07-09052-1","title":"Wavelet multipliers on 𝐿^{𝑝}(ℝⁿ)","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wavelet; Computer science; Mathematics; Artificial intelligence","score_opus":0.029048242749573308,"score_gpt":0.32143316416643,"score_spread":0.2923849214168567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493425563","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07616741,0.0017112361,0.79888797,0.0021837254,0.0011106584,0.00009545418,0.0010491307,0.0005947424,0.1181997],"genre_scores_gemma":[0.5873628,0.0038539846,0.2502533,0.0010338383,0.0020936653,0.00044796287,0.0020898404,0.0021448773,0.15071985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886525,0.00026369523,0.000059774786,0.00024569256,0.0003554483,0.00021012872],"domain_scores_gemma":[0.9971545,0.0011544705,0.00042339243,0.00020815604,0.0006560736,0.00040339638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018607654,0.0017517796,0.0007575705,0.0033737267,0.0010068446,0.0030434479,0.0013278876,0.0009366781,0.02058868],"category_scores_gemma":[0.007306401,0.00052312505,0.0012301977,0.0014822362,0.0016906199,0.0036669404,0.0035247447,0.003923979,0.007097662],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011070688,0.000035691097,0.00024940615,0.00012202426,0.000026310467,0.00017033782,0.00021988784,0.0038493031,0.0024919268,0.94999266,0.0082942275,0.03443755],"study_design_scores_gemma":[0.000025606156,0.00008803641,0.0005112228,0.000070219736,0.000025130099,0.00027410826,0.00013537533,0.047478348,0.003392009,0.92514336,0.022822062,0.00003458686],"about_ca_topic_score_codex":0.000946469,"about_ca_topic_score_gemma":0.0008001614,"teacher_disagreement_score":0.02058868,"about_ca_system_score_codex":0.0013392154,"about_ca_system_score_gemma":0.00059229287,"threshold_uncertainty_score":0.06887597},"labels":[],"label_agreement":null},{"id":"W1493612597","doi":"10.1090/s0002-9939-04-07862-1","title":"Geometric inequalities for a class of exponential measures","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Type (biology); Mathematics; Geology","score_opus":0.0580718367520425,"score_gpt":0.3120502231909174,"score_spread":0.25397838643887494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493612597","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18199745,0.0034555127,0.50736403,0.00513585,0.00060386455,0.000079979036,0.0008237659,0.000293271,0.3002463],"genre_scores_gemma":[0.86795723,0.0023656257,0.06238976,0.0014273018,0.0008123788,0.00017891308,0.0010254364,0.00029656797,0.06354685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982407,0.00029779144,0.0000934114,0.0004639667,0.00061201863,0.00029204693],"domain_scores_gemma":[0.9957261,0.002433197,0.0003803691,0.00031800935,0.000901927,0.00024046855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017768913,0.0008876586,0.0006325259,0.0019674234,0.0011604571,0.0027651899,0.001466737,0.0010134242,0.012555427],"category_scores_gemma":[0.010696281,0.00046128343,0.0013122889,0.0010538348,0.0025077977,0.005534726,0.0025777747,0.0034109484,0.0013775082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010653589,0.0000062479603,0.00024928228,0.0000354046,0.0000064250494,0.00002418841,0.00006321811,0.0011666429,0.00053170096,0.99219704,0.0012861697,0.0044230013],"study_design_scores_gemma":[0.000011821502,0.000028424265,0.0012615537,0.00004437185,0.000014109207,0.00014698472,0.000106582615,0.039857138,0.0013270994,0.944913,0.012268357,0.000020568676],"about_ca_topic_score_codex":0.004122962,"about_ca_topic_score_gemma":0.0029112245,"teacher_disagreement_score":0.012555427,"about_ca_system_score_codex":0.0029107623,"about_ca_system_score_gemma":0.00078277796,"threshold_uncertainty_score":0.042002082},"labels":[],"label_agreement":null},{"id":"W1494152311","doi":"10.1090/s0002-9939-00-05524-6","title":"A projection theorem and tangential boundary behavior of potentials","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Projection (relational algebra); Boundary (topology); Mathematics; Mathematical analysis; Physics; Classical mechanics; Algorithm","score_opus":0.02321320450283428,"score_gpt":0.31480757684542854,"score_spread":0.2915943723425943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1494152311","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21286118,0.0015673018,0.4770909,0.0046399394,0.00047517844,0.000091026115,0.0003959647,0.0009933668,0.30188513],"genre_scores_gemma":[0.92246145,0.0009117469,0.028492676,0.00046062362,0.00023078373,0.00007797071,0.0003150222,0.0004965769,0.046553057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995741,0.00009586122,0.000013769836,0.000071521536,0.00015212261,0.0000925043],"domain_scores_gemma":[0.9991769,0.00030173705,0.00006602404,0.00007590397,0.00021566867,0.00016369727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00072237157,0.00064047874,0.00040928545,0.00138291,0.0012156896,0.0026227715,0.00093567144,0.00091530714,0.015324649],"category_scores_gemma":[0.0039633466,0.000304359,0.00061754015,0.0006068248,0.0023592443,0.0041156537,0.0025989457,0.0017208011,0.0019652804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000110151705,0.0000069398966,0.00008384677,0.000019047053,0.0000024219073,0.00004449426,0.00009457617,0.0010879477,0.0006454362,0.99180627,0.0012972918,0.004900747],"study_design_scores_gemma":[0.000007050878,0.000009819131,0.00011884205,0.000014596626,0.0000017816466,0.00007887168,0.00008706792,0.018052258,0.00051787664,0.9790638,0.0020418256,0.0000062744703],"about_ca_topic_score_codex":0.001790184,"about_ca_topic_score_gemma":0.00080485514,"teacher_disagreement_score":0.015324649,"about_ca_system_score_codex":0.0012153364,"about_ca_system_score_gemma":0.0009179421,"threshold_uncertainty_score":0.051266074},"labels":[],"label_agreement":null},{"id":"W1495102408","doi":"10.1090/s0002-9939-04-07547-1","title":"Partially isometric dilations of noncommuting 𝑁-tuples of operators","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; Purdue University","keywords":"Mathematics; Tuple; Dilation (metric space); Contraction (grammar); Isometric exercise; Hilbert space; Pure mathematics; Discrete mathematics; Combinatorics; Algebra over a field","score_opus":0.03577043749208236,"score_gpt":0.33921632574680183,"score_spread":0.30344588825471946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1495102408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7400363,0.00036596647,0.22993578,0.0006015674,0.00021387044,0.000066837696,0.00018384813,0.00022227092,0.028373595],"genre_scores_gemma":[0.9335483,0.00027274116,0.05291187,0.00021854573,0.00017549323,0.0001621061,0.00023363964,0.00010248572,0.0123749],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987851,0.0002536672,0.00010229414,0.00033745755,0.00029916022,0.000222356],"domain_scores_gemma":[0.99867624,0.0003110055,0.00024208434,0.0002871718,0.0001561503,0.0003273128],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012925607,0.00036234024,0.0005306724,0.0006673237,0.0011537425,0.0015967024,0.0005476278,0.00056957855,0.0033523347],"category_scores_gemma":[0.002184037,0.00041795676,0.0009081007,0.0004379575,0.00231282,0.0028171367,0.0018140086,0.0011088232,0.00035099764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003913376,0.000018819914,0.00024714603,0.00001855146,0.000008678731,0.00013580664,0.00034639114,0.0015297951,0.005765516,0.9878044,0.00044007562,0.0036457742],"study_design_scores_gemma":[0.000038230708,0.00010210609,0.0012098583,0.000015532383,0.000014811088,0.0003792352,0.00051424,0.028076896,0.005783758,0.9559772,0.007857431,0.000030783405],"about_ca_topic_score_codex":0.0002847763,"about_ca_topic_score_gemma":0.00035352708,"teacher_disagreement_score":0.0033523347,"about_ca_system_score_codex":0.00071601674,"about_ca_system_score_gemma":0.00036967947,"threshold_uncertainty_score":0.011214733},"labels":[],"label_agreement":null},{"id":"W1495163746","doi":"10.1090/s0002-9939-00-05246-1","title":"A new characterization of Möbius transformations by use of Apollonius hexagons","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematics and Applications","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Characterization (materials science); Conformal map; Plane (geometry); Pure mathematics; Mathematics; Physics; Geometry; Optics","score_opus":0.023804528156032276,"score_gpt":0.2690281573184731,"score_spread":0.24522362916244084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1495163746","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42968976,0.0013218079,0.4308978,0.0010961726,0.0007461078,0.000119823206,0.00031592086,0.00034927504,0.13546334],"genre_scores_gemma":[0.93125325,0.00078368495,0.043944262,0.00034123697,0.00041162624,0.0000875691,0.0001509038,0.00019200832,0.022835528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995559,0.000106088046,0.000027244674,0.00009580235,0.00013702993,0.00007787547],"domain_scores_gemma":[0.9992906,0.00018601597,0.00012360554,0.00009419812,0.0001527596,0.00015276397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046270833,0.00043860552,0.00028878922,0.0012751628,0.00079249154,0.001430519,0.00035474295,0.00035307705,0.0038329114],"category_scores_gemma":[0.0013678194,0.00018176438,0.00032022744,0.00053229573,0.0016310386,0.001638548,0.0011765962,0.0012274553,0.0007304682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034851142,0.000010284691,0.00027529182,0.000024082618,0.00000345718,0.00011292804,0.00022351183,0.00097573403,0.004579362,0.9826858,0.0007714854,0.010303222],"study_design_scores_gemma":[0.000023813225,0.00009236393,0.0006989708,0.000031308104,0.000007728368,0.0008902393,0.00040887337,0.015393094,0.008648337,0.93597734,0.03778881,0.00003912946],"about_ca_topic_score_codex":0.0002507757,"about_ca_topic_score_gemma":0.00016257046,"teacher_disagreement_score":0.0038329114,"about_ca_system_score_codex":0.00045288858,"about_ca_system_score_gemma":0.00029008396,"threshold_uncertainty_score":0.01282233},"labels":[],"label_agreement":null},{"id":"W1495762787","doi":"10.1090/s0002-9939-06-08334-1","title":"Open subgroups and the centre problem for the Fourier algebra","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algebra over a field; Mathematics; Pure mathematics","score_opus":0.01928756894568557,"score_gpt":0.29960091700997427,"score_spread":0.2803133480642887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1495762787","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34384504,0.0024537481,0.27706933,0.008218212,0.0012308746,0.00013903153,0.0006806591,0.001032033,0.36533108],"genre_scores_gemma":[0.90418726,0.0009806077,0.028896872,0.0010036189,0.0010750003,0.00013737516,0.0006837153,0.0003976991,0.06263796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866617,0.0003412541,0.000058372454,0.00024776292,0.00037749406,0.00030900296],"domain_scores_gemma":[0.9984555,0.0006898079,0.00012836423,0.00022683977,0.00025431172,0.00024515722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015856752,0.0006681943,0.0010196961,0.0018835105,0.0023754102,0.0032204278,0.0011770373,0.0015202407,0.016951084],"category_scores_gemma":[0.004626985,0.00033830066,0.0015998648,0.0009719228,0.004035978,0.0062202723,0.003864459,0.0033123721,0.0032836057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026886399,0.000011843522,0.00007457213,0.00001588676,0.0000034989657,0.000034858647,0.00014294554,0.00016616053,0.00022571941,0.99472827,0.0011954418,0.0033739053],"study_design_scores_gemma":[0.000013307784,0.0000128625525,0.00008710417,0.00000809954,0.0000035610162,0.000046238,0.00009197594,0.0014388461,0.00031108325,0.9947743,0.0032043546,0.00000839538],"about_ca_topic_score_codex":0.0020555728,"about_ca_topic_score_gemma":0.0010149906,"teacher_disagreement_score":0.016951084,"about_ca_system_score_codex":0.0018405829,"about_ca_system_score_gemma":0.0011660324,"threshold_uncertainty_score":0.056707025},"labels":[],"label_agreement":null},{"id":"W1499724545","doi":"10.1090/s0002-9939-02-06509-7","title":"Differential equations over polynomially bounded o-minimal structures","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bounded function; Pfaffian; Mathematics; Closure (psychology); Differential equation; Field (mathematics); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.028948823107340173,"score_gpt":0.29459532790659054,"score_spread":0.2656465047992504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1499724545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93380696,0.0002909528,0.053841583,0.00057428674,0.000035761786,0.000015736903,0.00005809618,0.00009862174,0.011278032],"genre_scores_gemma":[0.9930669,0.00013869155,0.004236927,0.0000433276,0.000030705938,0.00001353067,0.000053475866,0.000014931963,0.0024015284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997398,0.00004757178,0.000011761228,0.000047166835,0.00006320751,0.000090436595],"domain_scores_gemma":[0.99881965,0.00045285103,0.00029173767,0.000060743212,0.00013098119,0.00024405622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006444216,0.00057803333,0.0005260372,0.0009264801,0.000716542,0.0011845275,0.0008572874,0.0006432885,0.0017369292],"category_scores_gemma":[0.0037795587,0.00018126369,0.0003981799,0.00040517093,0.00186968,0.0025549557,0.0014499086,0.0010916064,0.00016214828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001237076,0.000056731693,0.002213353,0.00006110995,0.000016244898,0.0003851899,0.00052926777,0.011836548,0.010030078,0.97029436,0.00034062658,0.0041128574],"study_design_scores_gemma":[0.000054181033,0.00012258363,0.002600371,0.000031202904,0.000018030632,0.00023646871,0.00038043602,0.23236392,0.0037559269,0.75923973,0.0011618194,0.000035292163],"about_ca_topic_score_codex":0.0017674218,"about_ca_topic_score_gemma":0.001380193,"teacher_disagreement_score":0.0017674218,"about_ca_system_score_codex":0.0013238216,"about_ca_system_score_gemma":0.00043365566,"threshold_uncertainty_score":0.00960505},"labels":[],"label_agreement":null},{"id":"W1499896294","doi":"10.1090/s0002-9939-06-08421-8","title":"On generalized hyperinterpolation on the sphere","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Approx; Order (exchange); Mathematics; Physics; Combinatorics; Theoretical physics; Computer science","score_opus":0.018131786391744217,"score_gpt":0.26159860715716576,"score_spread":0.24346682076542153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1499896294","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3362506,0.0028451937,0.3412231,0.0042924937,0.0010164373,0.000065594555,0.00023536371,0.0006066748,0.3134645],"genre_scores_gemma":[0.93253016,0.0016341395,0.024613982,0.00085834373,0.00086479244,0.00007247654,0.00017007845,0.00023477024,0.03902128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990081,0.00028364928,0.000041172778,0.00015666694,0.00028419137,0.00022628409],"domain_scores_gemma":[0.998553,0.0004978151,0.000213102,0.0002613666,0.00022417014,0.0002505819],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011810507,0.0011418386,0.00077219633,0.0019263917,0.0013537349,0.0024289028,0.0008689413,0.0010788507,0.008180919],"category_scores_gemma":[0.0029900926,0.00028789055,0.0011858948,0.0011425753,0.003729895,0.005051721,0.0028805549,0.0027328401,0.0016889031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001838609,0.0000053987364,0.000041471012,0.00001733514,0.0000036231438,0.000044713604,0.000085733154,0.00093786506,0.00043742114,0.99573225,0.0006654395,0.0020104186],"study_design_scores_gemma":[0.000005323098,0.000014621463,0.00007246994,0.0000069602092,0.0000028202198,0.00006116564,0.000036182635,0.0073925927,0.00049761834,0.9901558,0.0017456189,0.000008878995],"about_ca_topic_score_codex":0.0011420089,"about_ca_topic_score_gemma":0.0007376767,"teacher_disagreement_score":0.008180919,"about_ca_system_score_codex":0.0014255783,"about_ca_system_score_gemma":0.00067339814,"threshold_uncertainty_score":0.02736789},"labels":[],"label_agreement":null},{"id":"W1500452320","doi":"10.1090/s0002-9939-02-06498-5","title":"Frame wavelets in subspaces of 𝐿²(ℝ^{𝕕})","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":48,"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":"Linear subspace; Mathematics; Subspace topology; Dilation (metric space); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.04512004137375231,"score_gpt":0.31110875214187805,"score_spread":0.26598871076812575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1500452320","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11857439,0.0008688788,0.8172719,0.0007287161,0.00036396994,0.00008997674,0.0007873951,0.0006148378,0.060699943],"genre_scores_gemma":[0.6698627,0.002445245,0.24439931,0.0004147707,0.00063125364,0.00021397059,0.0022351858,0.001014891,0.07878261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996754,0.00006540155,0.000015285901,0.00006810733,0.00011277788,0.000063094136],"domain_scores_gemma":[0.9994779,0.00009315082,0.000079572914,0.000063363965,0.0002068617,0.0000791971],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058696116,0.0007120937,0.00033848325,0.001388077,0.00036072207,0.0014849536,0.00049286237,0.00040115908,0.01127196],"category_scores_gemma":[0.0016625981,0.00019542988,0.00046395333,0.00073899317,0.00072023825,0.0014037832,0.0009022145,0.0013277663,0.0034838067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008411037,0.000031744785,0.00031274947,0.00008122302,0.000013703732,0.00013156442,0.00032728506,0.005639797,0.010355328,0.91459924,0.008692337,0.059730895],"study_design_scores_gemma":[0.00003676531,0.00021688295,0.0018612731,0.00007778541,0.000027397795,0.00049140747,0.0006879658,0.19633904,0.013782584,0.71192825,0.07448521,0.00006535898],"about_ca_topic_score_codex":0.0014040105,"about_ca_topic_score_gemma":0.001140746,"teacher_disagreement_score":0.01127196,"about_ca_system_score_codex":0.00047913875,"about_ca_system_score_gemma":0.00034330817,"threshold_uncertainty_score":0.03770846},"labels":[],"label_agreement":null},{"id":"W1501612432","doi":"10.1090/s0002-9939-05-08147-5","title":"ℬ(ℋ) is a free semigroup algebra","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Semigroup; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.02483969201443419,"score_gpt":0.3152564960675285,"score_spread":0.2904168040530943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1501612432","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037780453,0.001303111,0.50255734,0.0046119005,0.0028697536,0.00016073797,0.0020773178,0.0031587272,0.44548064],"genre_scores_gemma":[0.53256184,0.0014399772,0.15134713,0.0025354552,0.0016876996,0.00046581702,0.003265787,0.0016944326,0.3050018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985569,0.00026710558,0.00010664571,0.00040587832,0.00044057125,0.00022288154],"domain_scores_gemma":[0.99865735,0.00035786707,0.00008447652,0.00019791222,0.0005063017,0.00019607469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013540573,0.0007740758,0.0007031487,0.0014926135,0.002892817,0.0036790264,0.00091685477,0.0008887754,0.039214406],"category_scores_gemma":[0.0016446923,0.00056216953,0.0021036803,0.0011368094,0.0024529065,0.006287077,0.0027750651,0.0024795402,0.013446341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048730963,0.000025602581,0.0001382606,0.00008110956,0.000018631372,0.00021029633,0.0003679322,0.00023913952,0.0015183089,0.97567266,0.010555185,0.011124177],"study_design_scores_gemma":[0.000029423554,0.000039201845,0.0002241668,0.00003014597,0.000021928316,0.0004223137,0.00021935017,0.0020844368,0.0024468882,0.90924776,0.08519969,0.000034716468],"about_ca_topic_score_codex":0.0011933345,"about_ca_topic_score_gemma":0.001128996,"teacher_disagreement_score":0.039214406,"about_ca_system_score_codex":0.001307812,"about_ca_system_score_gemma":0.0008396323,"threshold_uncertainty_score":0.13118523},"labels":[],"label_agreement":null},{"id":"W1502649240","doi":"10.1090/s0002-9939-00-05666-5","title":"Global existence and blowup of solutions for a parabolic equation with a gradient term","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Term (time); Mathematics; Mathematical analysis; Applied mathematics; Physics","score_opus":0.04388963783157802,"score_gpt":0.3010058181888756,"score_spread":0.2571161803572976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1502649240","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23871104,0.00562407,0.5405527,0.009113117,0.0015771791,0.00026154364,0.0007617733,0.0009977223,0.20240085],"genre_scores_gemma":[0.70792264,0.0029894577,0.07225005,0.00083218236,0.0007165945,0.00034354214,0.0006908936,0.00092140376,0.21333326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996082,0.00010643979,0.000025423155,0.00007307614,0.0001140078,0.000072832765],"domain_scores_gemma":[0.9983907,0.00076062384,0.000146429,0.00007289545,0.00033592238,0.0002936023],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012016515,0.0017093575,0.0008361601,0.002246825,0.0017937485,0.0022240693,0.001056631,0.0014467149,0.0078145135],"category_scores_gemma":[0.0055782744,0.0007027482,0.0019823245,0.000744655,0.0026315928,0.0029922458,0.004380504,0.0028834108,0.0011112547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017635408,0.000059377682,0.0013187398,0.0003936739,0.00008608141,0.0009766539,0.000886685,0.030466998,0.010534737,0.93024665,0.008711494,0.016142614],"study_design_scores_gemma":[0.0000406889,0.00014938058,0.0011400967,0.00016833378,0.000065646804,0.00044440562,0.0006640226,0.34930235,0.0048033544,0.6305226,0.012611983,0.00008720342],"about_ca_topic_score_codex":0.0031260771,"about_ca_topic_score_gemma":0.0021549084,"teacher_disagreement_score":0.0078145135,"about_ca_system_score_codex":0.0014939848,"about_ca_system_score_gemma":0.0012924272,"threshold_uncertainty_score":0.02614218},"labels":[],"label_agreement":null},{"id":"W1504128149","doi":"10.1090/s0002-9939-06-08260-8","title":"Spectra of algebras of entire functions on Banach spaces","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; University of Saskatchewan","keywords":"Mathematics; Pure mathematics; Banach space; Entire function; Algebra over a field","score_opus":0.012029429406765924,"score_gpt":0.26141773594015033,"score_spread":0.2493883065333844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1504128149","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08481269,0.0014685786,0.72745806,0.0016324715,0.0007236318,0.00011042612,0.0015733402,0.0013252745,0.18089549],"genre_scores_gemma":[0.78416854,0.0014842527,0.15267241,0.0007355099,0.0008336534,0.00032897017,0.0014373132,0.0010041242,0.05733515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857724,0.00028119044,0.000110906294,0.0002874817,0.00054356735,0.00019959935],"domain_scores_gemma":[0.9986185,0.00034832806,0.00014737553,0.00015846863,0.000527913,0.0001993386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013265054,0.0008930486,0.000618734,0.0029193566,0.0012545312,0.0038427098,0.0009770236,0.0005880718,0.014806537],"category_scores_gemma":[0.0022365183,0.00045318657,0.0013167207,0.0011178576,0.0022181282,0.006874897,0.001971691,0.0017691422,0.0040428727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016121521,0.000012719844,0.00012295344,0.000049740636,0.000010566704,0.00007793008,0.00025690565,0.00034858388,0.0015386281,0.99088204,0.0015293509,0.0051543163],"study_design_scores_gemma":[0.000009869107,0.000019889922,0.00038274916,0.000033057007,0.000011275615,0.00021665065,0.00023664566,0.0055411304,0.0027968646,0.97479236,0.015936432,0.000023127302],"about_ca_topic_score_codex":0.00079054857,"about_ca_topic_score_gemma":0.00062034634,"teacher_disagreement_score":0.014806537,"about_ca_system_score_codex":0.001188459,"about_ca_system_score_gemma":0.0006972363,"threshold_uncertainty_score":0.04953283},"labels":[],"label_agreement":null},{"id":"W1504266543","doi":"10.1090/s0002-9939-05-08365-6","title":"Nearly monotone spline approximation in 𝕃_{𝕡}","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Tel Aviv University","keywords":"Monotone polygon; Spline (mechanical); Mathematics; Applied mathematics; Geometry; Physics","score_opus":0.01931399023070196,"score_gpt":0.281181561885321,"score_spread":0.26186757165461905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1504266543","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015679253,0.0005939065,0.96164715,0.00040613615,0.00020291195,0.000035050125,0.00035109592,0.00093188736,0.020152528],"genre_scores_gemma":[0.33135277,0.001621448,0.5971535,0.00033724864,0.00026186943,0.00025501673,0.0018657183,0.0020370842,0.065115355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989849,0.00033240378,0.000047334233,0.00015035472,0.00036575718,0.000119303346],"domain_scores_gemma":[0.9972542,0.0016090014,0.00016798748,0.00026120967,0.0005715317,0.00013603756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002484533,0.0010836631,0.00088498235,0.0008582797,0.00042744784,0.0019695284,0.001384099,0.0008995304,0.0116777],"category_scores_gemma":[0.010462642,0.0003970673,0.0009806349,0.0008498536,0.0011734946,0.0013943445,0.0019457048,0.002813984,0.004686213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048901106,0.00008057291,0.0014078356,0.0005780022,0.00007255605,0.0002747634,0.00025885156,0.21030591,0.007537703,0.5639453,0.019006394,0.19604312],"study_design_scores_gemma":[0.00001160136,0.00003538271,0.00027415334,0.000050423816,0.000011389454,0.000087172826,0.000024641256,0.924053,0.0024250243,0.06373567,0.009272998,0.000018474853],"about_ca_topic_score_codex":0.00602664,"about_ca_topic_score_gemma":0.004769773,"teacher_disagreement_score":0.0116777,"about_ca_system_score_codex":0.001179983,"about_ca_system_score_gemma":0.0013263905,"threshold_uncertainty_score":0.039065838},"labels":[],"label_agreement":null},{"id":"W1505027431","doi":"10.1090/s0002-9939-05-07900-1","title":"Characterization of bilinear spaces with unimodular isometry group","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Mathematics; Artificial intelligence","score_opus":0.021931941971216586,"score_gpt":0.2837890645282579,"score_spread":0.26185712255704136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1505027431","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50476027,0.0010087437,0.39648178,0.001580357,0.0005453547,0.00017564597,0.0005789149,0.0007247839,0.09414421],"genre_scores_gemma":[0.929954,0.0005163078,0.03113367,0.00035518766,0.00045586238,0.00016574835,0.0005920167,0.00024202275,0.036585197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99765694,0.0004548772,0.00014336147,0.00047566043,0.00060945796,0.00065970427],"domain_scores_gemma":[0.9968087,0.00073078106,0.00045715563,0.00044547292,0.0006450888,0.00091273215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017152032,0.0011856582,0.0009572821,0.002515691,0.0021780606,0.0035861079,0.0013943313,0.00093394716,0.015162966],"category_scores_gemma":[0.0047205505,0.0006091647,0.0015656785,0.0013386587,0.0039547817,0.008136114,0.0048083966,0.0030981398,0.0029474853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043925604,0.000041682306,0.00037862032,0.00003764882,0.000007239432,0.00007971722,0.00041139725,0.00055099593,0.0010882686,0.9907951,0.0005636694,0.0060017346],"study_design_scores_gemma":[0.0000150195865,0.00008200405,0.00035099665,0.00001800404,0.000008347781,0.00021042343,0.00026775757,0.0054115118,0.0027120514,0.9848637,0.0060307337,0.000029570429],"about_ca_topic_score_codex":0.0009430728,"about_ca_topic_score_gemma":0.0004701618,"teacher_disagreement_score":0.015162966,"about_ca_system_score_codex":0.0015704526,"about_ca_system_score_gemma":0.0009822176,"threshold_uncertainty_score":0.05072522},"labels":[],"label_agreement":null},{"id":"W1505339043","doi":"10.1090/proc/13013","title":"Incoherent Coxeter Groups","year":2015,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Coxeter group; Mathematics; Combinatorics","score_opus":0.019771557830328072,"score_gpt":0.25868605566610214,"score_spread":0.23891449783577406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1505339043","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2821534,0.00053320517,0.6478027,0.0032324465,0.000546456,0.00010474419,0.00041921,0.00045307615,0.06475477],"genre_scores_gemma":[0.93990386,0.00029591648,0.045228522,0.00063603645,0.0005775151,0.00015379845,0.00035362868,0.00020476902,0.012646002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99573416,0.0010569809,0.0002823977,0.0010046223,0.0014285154,0.0004933381],"domain_scores_gemma":[0.9878115,0.005669938,0.0012979726,0.0027271588,0.0018417814,0.00065159245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003748849,0.0006802227,0.0008839248,0.0018978438,0.0031591197,0.003401264,0.0013161979,0.0012601664,0.008591779],"category_scores_gemma":[0.016056674,0.000704413,0.0012487527,0.0011394911,0.005639491,0.0069721863,0.004475689,0.003655205,0.0011466919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021496628,0.000008595293,0.00039597237,0.000020825019,0.000007019397,0.00006712167,0.0002623913,0.00045313462,0.0005919847,0.99591285,0.000435352,0.001823283],"study_design_scores_gemma":[0.000007976695,0.000020039168,0.00020173364,0.0000096041385,0.0000075692433,0.00009952065,0.00010097264,0.00391427,0.0009506417,0.9918601,0.002817166,0.000010440167],"about_ca_topic_score_codex":0.00043540474,"about_ca_topic_score_gemma":0.00045295118,"teacher_disagreement_score":0.008591779,"about_ca_system_score_codex":0.0010250498,"about_ca_system_score_gemma":0.0007221668,"threshold_uncertainty_score":0.028742313},"labels":[],"label_agreement":null},{"id":"W1507170210","doi":"10.1090/s0002-9939-02-06794-1","title":"Ordered group invariants for nonorientable one-dimensional generalized solenoids","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Combinatorics; Invariant (physics); Homeomorphism (graph theory); Group (periodic table); Dimension (graph theory); Solenoid; Wedge (geometry); Physics; Pure mathematics; Geometry; Mathematical physics; Quantum mechanics","score_opus":0.023133366393908162,"score_gpt":0.235972268456964,"score_spread":0.21283890206305583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507170210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44768378,0.0008007955,0.28660133,0.00095391757,0.0018244254,0.0001736411,0.0008610213,0.0023099084,0.2587912],"genre_scores_gemma":[0.9110494,0.0003635453,0.03736682,0.00031968288,0.00032119403,0.00009084395,0.0007586493,0.0006491658,0.049080722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994271,0.00007260847,0.00006679495,0.000101218226,0.00020840754,0.0001238628],"domain_scores_gemma":[0.9995265,0.000073340896,0.00008112339,0.00008810195,0.00010949335,0.00012146515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050330727,0.00073241536,0.00051152747,0.0019631127,0.0011052154,0.0024198648,0.0007827481,0.00059757766,0.00921498],"category_scores_gemma":[0.0009364666,0.00028456948,0.0008520124,0.00075636833,0.0022651034,0.0026872198,0.0018144327,0.0011310865,0.0022168073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036392063,0.000022524526,0.00018691689,0.000036208618,0.000006551386,0.00027770782,0.0002584311,0.00073793123,0.0019691119,0.98624724,0.0019859776,0.008234896],"study_design_scores_gemma":[0.000034793098,0.000061990926,0.0004922169,0.000028380973,0.00001502864,0.00030283545,0.00041204737,0.0057847816,0.0037978971,0.9623263,0.026703084,0.000040699524],"about_ca_topic_score_codex":0.0015955984,"about_ca_topic_score_gemma":0.0020480568,"teacher_disagreement_score":0.00921498,"about_ca_system_score_codex":0.0013386173,"about_ca_system_score_gemma":0.00044061316,"threshold_uncertainty_score":0.030827165},"labels":[],"label_agreement":null},{"id":"W1507184948","doi":"10.1090/s0002-9939-04-07765-2","title":"A stochastic delay financial model","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":46,"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 New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Insider; Insider trading; Financial market; Stability (learning theory); Mathematical economics; Logarithm; Economics; Black–Scholes model; Mathematics; Econometrics; Actuarial science; Computer science; Finance; Mathematical analysis","score_opus":0.018475439744316747,"score_gpt":0.22441858628414435,"score_spread":0.2059431465398276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507184948","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27050397,0.0013028929,0.6935585,0.0023624653,0.00039990284,0.00010408457,0.0013747952,0.00042069756,0.02997277],"genre_scores_gemma":[0.95193607,0.0005729367,0.022234956,0.00020441785,0.00015606648,0.000091762944,0.00034572513,0.00004666806,0.024411462],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996872,0.00007629532,0.000016988673,0.0000753595,0.00007643697,0.00006777057],"domain_scores_gemma":[0.99929476,0.00029522885,0.00013378609,0.000052861797,0.000097607604,0.00012576468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008088941,0.0006752483,0.00078526285,0.00065157557,0.00036491657,0.0016469518,0.001382101,0.0020594138,0.0082630245],"category_scores_gemma":[0.0029757738,0.0003320106,0.000602033,0.00071285863,0.0009905843,0.001970465,0.0010970242,0.0011692379,0.0005665629],"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":[0.0001088319,0.00004300296,0.0012815758,0.00004982688,0.000033250813,0.00030884764,0.000071159746,0.6340946,0.0018143521,0.35748205,0.001218279,0.0034942846],"study_design_scores_gemma":[0.00004079702,0.00002388921,0.000116831754,0.0000053511435,0.000013091106,0.00004615696,0.000011134823,0.96409523,0.00023073706,0.03411079,0.0012931116,0.000012942268],"about_ca_topic_score_codex":0.0063390266,"about_ca_topic_score_gemma":0.0026618682,"teacher_disagreement_score":0.0082630245,"about_ca_system_score_codex":0.0011091675,"about_ca_system_score_gemma":0.0009662754,"threshold_uncertainty_score":0.027642548},"labels":[],"label_agreement":null},{"id":"W1507759895","doi":"10.1090/s0002-9939-05-08018-4","title":"Trivial units for group rings over rings of algebraic integers","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University; University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Computer science; Semantics (computer science); Artificial intelligence; Mathematics; Programming language","score_opus":0.027129258157129656,"score_gpt":0.28107788858742655,"score_spread":0.2539486304302969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1507759895","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.351318,0.0036125174,0.23358338,0.0035263032,0.001900734,0.00036185546,0.0015684487,0.0033436269,0.40078515],"genre_scores_gemma":[0.9258975,0.00077075924,0.030318916,0.00046202686,0.0006667389,0.00024386865,0.0010678137,0.0004171659,0.04015518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997572,0.00074182,0.00021291416,0.0004995555,0.00044854722,0.0005252372],"domain_scores_gemma":[0.9970247,0.0011094046,0.0004646353,0.00045827907,0.00050569547,0.00043727396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017135433,0.000662574,0.0007005649,0.0016657669,0.0019399703,0.004623317,0.0013302433,0.00079393864,0.02555603],"category_scores_gemma":[0.0062275133,0.00048325976,0.0010551141,0.0010103197,0.0037417216,0.007968072,0.0036510485,0.0016382047,0.005295755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068394635,0.000019703402,0.00025476742,0.0000689164,0.0000061800506,0.00008768128,0.00028211885,0.00016777642,0.0006739987,0.9911271,0.0018171449,0.0054261647],"study_design_scores_gemma":[0.0000879408,0.00016189649,0.00060825906,0.00005726583,0.000034264063,0.00029358562,0.00077134295,0.0028567156,0.0067707663,0.9498673,0.038438983,0.00005162984],"about_ca_topic_score_codex":0.00055048516,"about_ca_topic_score_gemma":0.00070550275,"teacher_disagreement_score":0.02555603,"about_ca_system_score_codex":0.001696933,"about_ca_system_score_gemma":0.0010874262,"threshold_uncertainty_score":0.085493445},"labels":[],"label_agreement":null},{"id":"W1508232765","doi":"10.1090/s0002-9939-00-05521-0","title":"Duals and topological center of a class of matrix algebras with applications","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Alberta","keywords":"Dual polyhedron; Class (philosophy); Center (category theory); Mathematics; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Topology (electrical circuits); Combinatorics; Computer science; Artificial intelligence; Materials science","score_opus":0.017089271257754623,"score_gpt":0.30429426063650095,"score_spread":0.28720498937874633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1508232765","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7642841,0.0010012091,0.16137934,0.0008985174,0.00020772498,0.000085949934,0.0002314625,0.00023008394,0.07168151],"genre_scores_gemma":[0.97083604,0.0003136767,0.016784461,0.00013837022,0.00018377812,0.00006008267,0.00017591607,0.000044579363,0.011463137],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950516,0.00009729392,0.000029360095,0.00011861675,0.00014138172,0.000108206936],"domain_scores_gemma":[0.9990989,0.00017545368,0.00016546903,0.00005552152,0.00026947047,0.00023519552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067683327,0.00032061234,0.0004333873,0.0018279527,0.0012416011,0.0021553258,0.0005308021,0.00046873136,0.004379897],"category_scores_gemma":[0.0012715413,0.00016887514,0.0005677425,0.00070418447,0.0017065826,0.0022825163,0.0010934789,0.0009450268,0.0005296319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029388095,0.000022462858,0.00030802115,0.000020730911,0.000005089207,0.00006977373,0.00016399338,0.00028846253,0.0019218397,0.99448436,0.00028304156,0.0024027992],"study_design_scores_gemma":[0.000034954726,0.00008470043,0.00067479536,0.00001979439,0.000021096657,0.0004938938,0.00040121662,0.013656112,0.0060648294,0.9704251,0.008099247,0.000024298668],"about_ca_topic_score_codex":0.000670201,"about_ca_topic_score_gemma":0.0004642867,"teacher_disagreement_score":0.004379897,"about_ca_system_score_codex":0.0010044992,"about_ca_system_score_gemma":0.0006028024,"threshold_uncertainty_score":0.014652193},"labels":[],"label_agreement":null},{"id":"W1509320952","doi":"10.1090/s0002-9939-07-08921-6","title":"Nonpositive sectional curvature for (𝑝,𝑞,𝑟)-complexes","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Curvature; Computer science; Artificial intelligence; Mathematics; Geometry","score_opus":0.02513144080018685,"score_gpt":0.3141241823309881,"score_spread":0.28899274153080123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1509320952","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52930987,0.0010295185,0.32171017,0.0023468947,0.000679665,0.00025452825,0.0014621926,0.0015818775,0.14162527],"genre_scores_gemma":[0.92457014,0.00048051492,0.041683033,0.00042772968,0.00030532654,0.00023275185,0.0011938859,0.00088502734,0.030221567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790275,0.00029622592,0.00016758757,0.0006525857,0.0006277897,0.00035303357],"domain_scores_gemma":[0.99356765,0.0019909365,0.00093561294,0.00050905254,0.0017952302,0.0012015463],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014725506,0.0012726907,0.0007060344,0.004129081,0.0019041571,0.004887249,0.0014539812,0.0015464188,0.01749925],"category_scores_gemma":[0.00822229,0.0008893861,0.0011696145,0.00083421904,0.0030257585,0.0054854597,0.0036471006,0.002049407,0.0039040407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010193752,0.000027477194,0.0025791214,0.00010041342,0.000028845465,0.00053337275,0.0006001723,0.0013546947,0.004816722,0.9772117,0.0040727844,0.00857269],"study_design_scores_gemma":[0.000042570246,0.00010785952,0.005398946,0.00009370391,0.000055672437,0.001829897,0.00061291014,0.022611406,0.010245869,0.9273438,0.03155692,0.0001004085],"about_ca_topic_score_codex":0.0009810069,"about_ca_topic_score_gemma":0.00080438826,"teacher_disagreement_score":0.01749925,"about_ca_system_score_codex":0.0018594611,"about_ca_system_score_gemma":0.00047573954,"threshold_uncertainty_score":0.05854076},"labels":[],"label_agreement":null},{"id":"W1509986911","doi":"10.1090/s0002-9939-00-05590-8","title":"Bloch constants for planar harmonic mappings","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":118,"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; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Holomorphic function; Bounded function; Planar; Mathematics; Harmonic function; Constant (computer programming); Harmonic; Mathematical analysis; Pure mathematics; Harmonic oscillator; Mathematical physics; Physics; Quantum mechanics; Computer science","score_opus":0.026535958697939007,"score_gpt":0.2779559030303275,"score_spread":0.2514199443323885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1509986911","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.113084026,0.010518173,0.47797677,0.0054373317,0.0014235597,0.00014415955,0.0006477397,0.0013252734,0.38944295],"genre_scores_gemma":[0.80354375,0.0070106713,0.060815696,0.00157139,0.0010490469,0.00027542308,0.0007770054,0.0008098007,0.12414718],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990557,0.00012654574,0.00004108155,0.0001887273,0.00037735363,0.00021060919],"domain_scores_gemma":[0.9970921,0.0010897561,0.00030671147,0.00042724411,0.0007261435,0.00035805133],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014917481,0.0015195402,0.00092232204,0.008254022,0.00220443,0.0032017953,0.0017126463,0.0017150074,0.017440172],"category_scores_gemma":[0.0068677543,0.0005925518,0.0008375256,0.002297562,0.002773064,0.006230479,0.0030666252,0.004360384,0.00411056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021444524,0.0000118779,0.0001650514,0.00007161562,0.000009495987,0.000046925124,0.000091537,0.0014935604,0.0025358086,0.98391056,0.0028283487,0.008813825],"study_design_scores_gemma":[0.000010445958,0.000023255097,0.00074150227,0.00006884398,0.00002942078,0.00027108256,0.00012402711,0.024601618,0.0049402774,0.94817984,0.020952215,0.00005744154],"about_ca_topic_score_codex":0.0028851414,"about_ca_topic_score_gemma":0.002714659,"teacher_disagreement_score":0.017440172,"about_ca_system_score_codex":0.002911835,"about_ca_system_score_gemma":0.000981041,"threshold_uncertainty_score":0.058343172},"labels":[],"label_agreement":null},{"id":"W1510164046","doi":"10.1090/s0002-9939-04-07555-0","title":"Bounded and completely bounded local derivations from certain commutative semisimple Banach algebras","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.03733999848848153,"score_gpt":0.3294119826298544,"score_spread":0.29207198414137286,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1510164046","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33778742,0.0014809011,0.5002377,0.0020997545,0.00037277795,0.00008851348,0.0007142148,0.00082850765,0.15639016],"genre_scores_gemma":[0.90131694,0.0007310339,0.054441597,0.0005851357,0.00017606547,0.00011780256,0.00042918648,0.0002898193,0.04191236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905306,0.0002728232,0.000060272752,0.00019199008,0.00029566482,0.00012619351],"domain_scores_gemma":[0.99865997,0.0004494477,0.00014019173,0.00015722244,0.0004274923,0.00016558211],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010222825,0.00046131248,0.00039787954,0.000944247,0.0009977225,0.0014729082,0.0006091546,0.00064340286,0.0090060625],"category_scores_gemma":[0.0029108883,0.00028052213,0.00097140303,0.000573834,0.0020097184,0.0033097505,0.0018952767,0.0015315928,0.0020237956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013237994,0.000012867612,0.00012209394,0.000040212843,0.000009536352,0.00015859111,0.00031480318,0.0007762902,0.0016895521,0.99124616,0.00077594316,0.0048406324],"study_design_scores_gemma":[0.000011322206,0.000027331715,0.00033030278,0.000019267254,0.000009081395,0.00029633613,0.00020429799,0.0067545637,0.0025514222,0.9826362,0.0071420325,0.00001793819],"about_ca_topic_score_codex":0.0008360967,"about_ca_topic_score_gemma":0.00082550297,"teacher_disagreement_score":0.0090060625,"about_ca_system_score_codex":0.0009225589,"about_ca_system_score_gemma":0.00071059924,"threshold_uncertainty_score":0.03012824},"labels":[],"label_agreement":null},{"id":"W1511502843","doi":"10.1090/s0002-9939-00-04940-6","title":"Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Metrization theorem; Mathematics; Axiom of choice; Axiom; Zermelo–Fraenkel set theory; Pure mathematics; Axiom independence; Computer science; Mathematical analysis; Geometry; Set theory; Set (abstract data type)","score_opus":0.012401807174544689,"score_gpt":0.2781662773281661,"score_spread":0.2657644701536214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1511502843","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41685945,0.00094621826,0.4822376,0.003133942,0.00046195768,0.000070146416,0.00078407524,0.0007897916,0.09471687],"genre_scores_gemma":[0.9486471,0.00023847684,0.035435993,0.00039665238,0.00013534883,0.00007412884,0.00062024064,0.00013075268,0.014321259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970284,0.0006302846,0.00018125131,0.00072605076,0.0009801718,0.0004538001],"domain_scores_gemma":[0.99534297,0.0016306473,0.0006515363,0.0009870994,0.0009929456,0.00039485533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019296868,0.0008248436,0.0008830808,0.00093345967,0.0022288011,0.002738706,0.0012555294,0.0011287702,0.005355378],"category_scores_gemma":[0.005453088,0.0005854939,0.0018345366,0.0008365322,0.004531326,0.008927136,0.0033949374,0.0031321445,0.00079322554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003787096,0.000009328008,0.00039209827,0.000031194108,0.000014024703,0.000060403745,0.00011600566,0.0006938899,0.0006318198,0.99615747,0.0004327013,0.0014230997],"study_design_scores_gemma":[0.00001652807,0.000048292684,0.00039343777,0.000011604666,0.000019314226,0.00020383252,0.00016834197,0.0062947916,0.0017645755,0.98507696,0.005981346,0.000020963435],"about_ca_topic_score_codex":0.0016954441,"about_ca_topic_score_gemma":0.0020536361,"teacher_disagreement_score":0.005355378,"about_ca_system_score_codex":0.0019645211,"about_ca_system_score_gemma":0.0011749901,"threshold_uncertainty_score":0.017915547},"labels":[],"label_agreement":null},{"id":"W1511878531","doi":"10.1090/s0002-9939-05-07814-7","title":"Every nontrivial knot in 𝑆³ has nontrivial A-polynomial","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Alexander polynomial; Knot (papermaking); Mathematics; Knot polynomial; Polynomial; Pure mathematics; Combinatorics; Knot theory; Discrete mathematics; Knot invariant; Mathematical analysis; Engineering","score_opus":0.025326543482619174,"score_gpt":0.2775050963007721,"score_spread":0.25217855281815293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1511878531","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44231737,0.00045912448,0.19703901,0.002325451,0.0012063361,0.00012353032,0.00090873544,0.0017136778,0.35390687],"genre_scores_gemma":[0.93762803,0.00032667868,0.017338969,0.000222027,0.00025280536,0.000038358234,0.0006518869,0.000348186,0.04319314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932134,0.00005935311,0.000029126533,0.00017749367,0.0001994306,0.00021335529],"domain_scores_gemma":[0.9987375,0.00032149,0.00019380332,0.00016119225,0.00031625773,0.00026980313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035196418,0.00094523217,0.0006927734,0.0010087293,0.0024700956,0.0026887015,0.000807674,0.00072246697,0.025595618],"category_scores_gemma":[0.0018018434,0.00032780675,0.0012005125,0.0008750691,0.0034841145,0.0030784092,0.0035166247,0.0023194158,0.0056650285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016853763,0.0000668666,0.0015860173,0.00016919484,0.000028883205,0.00082869246,0.00051970367,0.0015518636,0.00515814,0.97003615,0.0077632265,0.012122784],"study_design_scores_gemma":[0.00008476131,0.00020479,0.0029297085,0.000054889668,0.00007158566,0.001241328,0.00086802983,0.0159312,0.0138917435,0.9131096,0.051534615,0.00007787375],"about_ca_topic_score_codex":0.0036043373,"about_ca_topic_score_gemma":0.003953933,"teacher_disagreement_score":0.025595618,"about_ca_system_score_codex":0.001418364,"about_ca_system_score_gemma":0.0009651078,"threshold_uncertainty_score":0.08562583},"labels":[],"label_agreement":null},{"id":"W1512438884","doi":"10.1090/s0002-9939-06-08215-3","title":"The groupoid algebra of an eigenvalue pattern","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algebra over a field; Eigenvalues and eigenvectors; Mathematics; Double groupoid; Pure mathematics; Physics","score_opus":0.017817085875738436,"score_gpt":0.306831658299666,"score_spread":0.2890145724239276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1512438884","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37367907,0.0006005673,0.43985516,0.0018885945,0.00069634157,0.00020187152,0.0005825735,0.00095335854,0.18154243],"genre_scores_gemma":[0.900863,0.00030936667,0.06166413,0.00048485902,0.00022483317,0.00016969843,0.0003555548,0.00019546965,0.03573304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878174,0.00026513086,0.00008916866,0.00034249073,0.00032114878,0.00020030618],"domain_scores_gemma":[0.99912673,0.00016397139,0.00012923099,0.00017116375,0.00028172054,0.0001272493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007671356,0.00043750848,0.00041300082,0.0013556199,0.0014726776,0.0025493586,0.0006796158,0.000778751,0.00863612],"category_scores_gemma":[0.0017142255,0.00029276402,0.00067948765,0.001125365,0.002721336,0.0045473115,0.0017229272,0.0012442352,0.0019725647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021246733,0.000008965762,0.00012706385,0.00001997117,0.0000043435216,0.00010122996,0.00037722726,0.00023797268,0.001794125,0.9900502,0.0008363699,0.0064212377],"study_design_scores_gemma":[0.000011283772,0.00002922774,0.00024327794,0.000012401336,0.0000053755557,0.00020905393,0.00029225665,0.002867614,0.002647067,0.9836887,0.009975722,0.000018061932],"about_ca_topic_score_codex":0.0014161478,"about_ca_topic_score_gemma":0.00068649783,"teacher_disagreement_score":0.00863612,"about_ca_system_score_codex":0.0013293631,"about_ca_system_score_gemma":0.00084254803,"threshold_uncertainty_score":0.02889067},"labels":[],"label_agreement":null},{"id":"W1512582237","doi":"10.1090/s0002-9939-05-08306-1","title":"Quarter-stratifiability in ordered spaces","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Mathematics; Geography; Archaeology","score_opus":0.00920487906332469,"score_gpt":0.24530945196928755,"score_spread":0.23610457290596287,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1512582237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62277627,0.0020054632,0.27995598,0.0016662873,0.00032364542,0.000080348414,0.0008515284,0.00074782514,0.09159262],"genre_scores_gemma":[0.9564857,0.0004263692,0.024381671,0.00031107446,0.00011055964,0.00004892089,0.0005644863,0.00011592286,0.017555283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984231,0.00026307045,0.000112200905,0.00037183182,0.00041184732,0.00041801034],"domain_scores_gemma":[0.9983311,0.00052124495,0.00019818333,0.00028493392,0.00035869874,0.00030587873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010355243,0.00062557886,0.0007887535,0.0021298088,0.0021870066,0.0029889797,0.0008858783,0.0008446774,0.007667536],"category_scores_gemma":[0.00268483,0.00047357703,0.0014614377,0.0015123232,0.0045758924,0.0058712023,0.0035286054,0.0019443026,0.000760808],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003438102,0.000008176768,0.00041761732,0.000027385177,0.00000821662,0.00011212204,0.00037786175,0.0008393969,0.0006315975,0.993335,0.00035474982,0.0038534235],"study_design_scores_gemma":[0.000014314248,0.00004633798,0.00057085924,0.000023162105,0.0000158035,0.0001395469,0.00046564147,0.0057704826,0.0010998666,0.9845451,0.00728661,0.000022231825],"about_ca_topic_score_codex":0.0071746293,"about_ca_topic_score_gemma":0.0047190925,"teacher_disagreement_score":0.007667536,"about_ca_system_score_codex":0.002414546,"about_ca_system_score_gemma":0.00088331767,"threshold_uncertainty_score":0.025650501},"labels":[],"label_agreement":null},{"id":"W1515378971","doi":"10.1090/s0002-9939-02-06430-4","title":"On Zariski’s multiplicity problem","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Multiplicity (mathematics); Mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.029679698854313694,"score_gpt":0.2717771455486673,"score_spread":0.24209744669435357,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1515378971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39580858,0.0042329514,0.3794965,0.018453876,0.0013420954,0.00007377876,0.00044780396,0.00047063504,0.19967367],"genre_scores_gemma":[0.9391637,0.0015998152,0.03526108,0.00090084446,0.0010709757,0.00010445052,0.00033898267,0.00012746533,0.021432709],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986191,0.00029214704,0.00006640547,0.0003433481,0.00039606696,0.00028292945],"domain_scores_gemma":[0.9964939,0.0016784717,0.0004171541,0.0005136836,0.00044666475,0.00045015043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002263653,0.0006640925,0.0013971246,0.0021612933,0.0028335815,0.0030063116,0.001904457,0.0021791635,0.008001102],"category_scores_gemma":[0.006961923,0.0004270188,0.0009851673,0.0013861344,0.0057187798,0.011978061,0.0054869605,0.0039162,0.0012706715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031082396,0.000011306661,0.000264627,0.00003196643,0.0000057975676,0.00009853324,0.00015900373,0.00065914926,0.0005464927,0.99349254,0.0013545627,0.0033449547],"study_design_scores_gemma":[0.0000104857945,0.000012058306,0.00027040226,0.000010802978,0.000005569574,0.00013627797,0.000107735694,0.0031563705,0.00044803714,0.99275875,0.0030707247,0.000012672962],"about_ca_topic_score_codex":0.00060518074,"about_ca_topic_score_gemma":0.0003407188,"teacher_disagreement_score":0.008001102,"about_ca_system_score_codex":0.0014946593,"about_ca_system_score_gemma":0.0007409952,"threshold_uncertainty_score":0.0267663},"labels":[],"label_agreement":null},{"id":"W1515644322","doi":"10.1090/s0002-9939-03-07228-9","title":"A symmetry completeness criterion for second-order differential equations","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Completeness (order theory); Symmetry (geometry); Mathematics; Order (exchange); Differential (mechanical device); Mathematical analysis; Applied mathematics; Calculus (dental); Physics; Geometry; Medicine","score_opus":0.06217636985824307,"score_gpt":0.3498069946889645,"score_spread":0.28763062483072144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1515644322","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24261901,0.00053390977,0.7059083,0.001748849,0.00033812286,0.00016842583,0.0004007164,0.00030550116,0.047977142],"genre_scores_gemma":[0.9302725,0.00032004702,0.057086106,0.0002225635,0.00026987286,0.00013225216,0.00044013688,0.00018589724,0.011070581],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845076,0.0003320075,0.00011124529,0.00021697552,0.00070495304,0.00018391815],"domain_scores_gemma":[0.99485505,0.001860233,0.00036536538,0.0007747391,0.001678644,0.0004659877],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030594291,0.0004477619,0.0010113539,0.001599098,0.0015323479,0.0018346695,0.00087468524,0.0011778016,0.0033163102],"category_scores_gemma":[0.0064616986,0.00033053537,0.0010708394,0.0005797996,0.0035296234,0.003637751,0.0026491713,0.0023261085,0.0006900438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001707931,0.000013071031,0.00042115754,0.000025050313,0.000006678462,0.00007849952,0.00014537586,0.002142442,0.0026400057,0.99056655,0.0008176765,0.0031264196],"study_design_scores_gemma":[0.0000150969645,0.00004552862,0.00042947533,0.0000126106415,0.000005572458,0.00020964508,0.000079163416,0.023628956,0.0034303318,0.96683127,0.005287546,0.0000247788],"about_ca_topic_score_codex":0.0008659051,"about_ca_topic_score_gemma":0.0005080226,"teacher_disagreement_score":0.0033163102,"about_ca_system_score_codex":0.00079965824,"about_ca_system_score_gemma":0.0012937099,"threshold_uncertainty_score":0.016180038},"labels":[],"label_agreement":null},{"id":"W1516957443","doi":"10.1090/s0002-9939-00-05788-9","title":"Diagonal type conditions on group C*-algebras","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Diagonal; Type (biology); Group (periodic table); Mathematics; Algebra over a field; Pure mathematics; Combinatorics; Physics; Geometry; Geology; Quantum mechanics","score_opus":0.024906160811088263,"score_gpt":0.32279163922156867,"score_spread":0.2978854784104804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1516957443","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18720339,0.0009770058,0.23801456,0.0030976261,0.0016460407,0.00024657728,0.0034659326,0.0033729917,0.5619759],"genre_scores_gemma":[0.8762211,0.0005189207,0.053043704,0.0012493026,0.00064457854,0.0002794009,0.0034200726,0.0008786145,0.06374418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972511,0.00046745958,0.00026598046,0.0005266233,0.0008053023,0.0006835385],"domain_scores_gemma":[0.9970927,0.0007454938,0.00022246793,0.0004051224,0.0011900284,0.00034407715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020012895,0.0007190282,0.0006865266,0.0022691211,0.0028587393,0.0047776387,0.0011462435,0.0014191774,0.025377614],"category_scores_gemma":[0.0038538564,0.0005674101,0.0011113596,0.0015672423,0.0032689653,0.00682818,0.0029573222,0.0023769496,0.0064105447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002549637,0.000011186571,0.00010858152,0.000023537465,0.0000037988846,0.000043758824,0.0001540155,0.00016655508,0.00034831147,0.9931623,0.0025929725,0.003359435],"study_design_scores_gemma":[0.00003363262,0.000020589268,0.00016125393,0.000026727253,0.0000097543,0.00006932542,0.00026854684,0.001964079,0.0020866974,0.9837742,0.011562526,0.000022636706],"about_ca_topic_score_codex":0.004235531,"about_ca_topic_score_gemma":0.0042494084,"teacher_disagreement_score":0.025377614,"about_ca_system_score_codex":0.0033128227,"about_ca_system_score_gemma":0.0018234635,"threshold_uncertainty_score":0.084896505},"labels":[],"label_agreement":null},{"id":"W1518408177","doi":"10.1090/s0002-9939-03-07166-1","title":"On a theorem of Favard","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Counterexample; Mathematics; Complement (music); Mathematical analysis; Differential equation; Comparison theorem; Applied mathematics; Discrete mathematics","score_opus":0.02273798006738598,"score_gpt":0.29416000160329686,"score_spread":0.2714220215359109,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1518408177","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.082372315,0.0147875585,0.68598616,0.009689577,0.0029081681,0.00010818713,0.000316235,0.0005518022,0.20328006],"genre_scores_gemma":[0.80855477,0.0072069024,0.12041532,0.004581381,0.0021444845,0.0002704139,0.00032608843,0.0004490494,0.05605148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911577,0.00020490766,0.00006246727,0.00023809205,0.00023416705,0.00014461327],"domain_scores_gemma":[0.9981146,0.0009746547,0.00012382407,0.00022560118,0.00042157093,0.00013977964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002016337,0.0007870635,0.0012217567,0.003077913,0.0019087674,0.0017656158,0.0011200231,0.0014574454,0.0062814075],"category_scores_gemma":[0.008718054,0.00046209147,0.002036109,0.00112595,0.0034528784,0.0033021963,0.003052292,0.002826669,0.0010609218],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023803459,0.000007693674,0.00023285685,0.00011098914,0.000024249273,0.00016143051,0.00027047726,0.0015431279,0.0016745944,0.97985804,0.0028718894,0.01322081],"study_design_scores_gemma":[0.000018078055,0.00004370288,0.00049616134,0.000078687015,0.000028648641,0.00058946415,0.000084792104,0.011056434,0.0020489986,0.9489911,0.036530495,0.00003333906],"about_ca_topic_score_codex":0.0037293474,"about_ca_topic_score_gemma":0.001785615,"teacher_disagreement_score":0.0062814075,"about_ca_system_score_codex":0.0014304993,"about_ca_system_score_gemma":0.0009791995,"threshold_uncertainty_score":0.02101338},"labels":[],"label_agreement":null},{"id":"W1519677650","doi":"10.1090/s0002-9939-04-07511-2","title":"A complete system of orthogonal step functions","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Los Alamos National Laboratory; University of Alberta; University of Calgary","keywords":"Orthonormal basis; Almost everywhere; Fourier series; Function (biology); Walsh function; Mathematics; Orthogonal functions; Fourier transform; Series (stratigraphy); Interval (graph theory); Pure mathematics; Orthonormality; Mathematical analysis; Combinatorics; Physics","score_opus":0.018348357565856063,"score_gpt":0.2568266300334677,"score_spread":0.2384782724676116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1519677650","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011822234,0.00041255952,0.9257948,0.00043290804,0.0006911754,0.00011956303,0.0010653372,0.00083436415,0.05882706],"genre_scores_gemma":[0.24969038,0.0014088725,0.6013062,0.001091059,0.00085411535,0.0007474221,0.004156725,0.002694655,0.13805059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99749386,0.0005090432,0.00016184404,0.0005013516,0.0008966551,0.0004372178],"domain_scores_gemma":[0.99858606,0.00016005304,0.00008391936,0.00026691883,0.00075500563,0.00014813658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016445082,0.0012615108,0.0009757376,0.0021649871,0.0013975957,0.0030859534,0.0016135804,0.0012182153,0.04341431],"category_scores_gemma":[0.0034298485,0.0006863572,0.0012114581,0.0013247405,0.0015024465,0.003272931,0.0030254694,0.0025497214,0.026474118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042926928,0.000049261045,0.00021177488,0.0001119543,0.000023337163,0.00012240352,0.0001469114,0.002408196,0.005023613,0.9202948,0.017491618,0.054073144],"study_design_scores_gemma":[0.00004467718,0.000121060104,0.0006480526,0.000072296905,0.000026468333,0.00045652196,0.00019574506,0.038861934,0.009354011,0.8251931,0.124906816,0.000119246],"about_ca_topic_score_codex":0.0011786507,"about_ca_topic_score_gemma":0.0011306556,"teacher_disagreement_score":0.04341431,"about_ca_system_score_codex":0.0009785966,"about_ca_system_score_gemma":0.0014975165,"threshold_uncertainty_score":0.14523536},"labels":[],"label_agreement":null},{"id":"W1519807083","doi":"10.1090/s0002-9939-04-07784-6","title":"Small prime solutions of quadratic equations II","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Prime (order theory); Quadratic equation; Mathematics; Applied mathematics; Combinatorics; Geometry","score_opus":0.06551923870132645,"score_gpt":0.2693759478220943,"score_spread":0.20385670912076784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1519807083","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20393269,0.0027755464,0.18872125,0.007819771,0.0023417945,0.00018119974,0.0009489598,0.0010447053,0.5922341],"genre_scores_gemma":[0.6998752,0.0016025587,0.039641283,0.001164801,0.0018894384,0.00022811884,0.00106528,0.0007025704,0.25383076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994153,0.00014639556,0.000022280707,0.000102358004,0.00020373877,0.00010995401],"domain_scores_gemma":[0.9988456,0.0005512651,0.00010283618,0.00010921578,0.00022087476,0.00017014281],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080822606,0.0008697771,0.00080204953,0.0015275723,0.0011430635,0.0025168578,0.00079775514,0.0008238428,0.037045363],"category_scores_gemma":[0.005215114,0.00037046534,0.0008015296,0.00093560957,0.0016440839,0.0030326105,0.00220868,0.0027576487,0.0053438516],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058994705,0.000031669573,0.00030976263,0.00012348233,0.0000114952345,0.000106033316,0.0002640706,0.0016519516,0.0012390198,0.9746493,0.009835444,0.011718711],"study_design_scores_gemma":[0.00004449848,0.000035175624,0.00041526777,0.000047160185,0.000011653143,0.00014047993,0.00014493689,0.016122924,0.0010001365,0.96618986,0.015831545,0.000016291986],"about_ca_topic_score_codex":0.0012710486,"about_ca_topic_score_gemma":0.0015960885,"teacher_disagreement_score":0.037045363,"about_ca_system_score_codex":0.0014731571,"about_ca_system_score_gemma":0.0009313125,"threshold_uncertainty_score":0.12392908},"labels":[],"label_agreement":null},{"id":"W1519855828","doi":"10.1090/s0002-9939-01-06094-4","title":"Sufficient Poisson jump diffusion market models revisited","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of New Brunswick","funders":"","keywords":"Poisson distribution; Jump; Jump diffusion; Arbitrage; Completeness (order theory); Econometrics; Diffusion; Simple (philosophy); Financial market; Degenerate energy levels; Economics; Statistical physics; Mathematics; Mathematical economics; Financial economics; Statistics; Physics; Mathematical analysis; Finance","score_opus":0.020247096043521904,"score_gpt":0.2239414188503816,"score_spread":0.2036943228068597,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1519855828","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3387652,0.0024110118,0.61137944,0.0067846547,0.00032750113,0.00016174043,0.0016020064,0.0004483066,0.03812016],"genre_scores_gemma":[0.9672348,0.0011001732,0.022790449,0.0005910633,0.00039565575,0.00016730496,0.00070592883,0.000073417206,0.0069412505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896085,0.00031683297,0.000085127445,0.00014987997,0.00032796763,0.00015927246],"domain_scores_gemma":[0.9954216,0.0023949014,0.000831377,0.0003501617,0.00049551384,0.0005063992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029822674,0.0009435636,0.002332317,0.001394014,0.00072372035,0.0023017982,0.0019378628,0.0025887315,0.0068740835],"category_scores_gemma":[0.011163135,0.00074527715,0.0016033051,0.0009276037,0.002466957,0.0051880884,0.0025830374,0.0033681246,0.0005754799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025595204,0.000023644396,0.00030084339,0.00007121445,0.000020819154,0.00015712014,0.00007130455,0.017051691,0.0006520313,0.9796575,0.0007790074,0.001189305],"study_design_scores_gemma":[0.000057230387,0.000019698102,0.00024427066,0.000015952162,0.000009807824,0.000119648525,0.000029339399,0.1781993,0.00017585585,0.8201786,0.00093324034,0.000017075437],"about_ca_topic_score_codex":0.0016034906,"about_ca_topic_score_gemma":0.0011608956,"teacher_disagreement_score":0.0068740835,"about_ca_system_score_codex":0.0010391308,"about_ca_system_score_gemma":0.0016956143,"threshold_uncertainty_score":0.022996128},"labels":[],"label_agreement":null},{"id":"W1520487853","doi":"10.1090/s0002-9939-05-08031-7","title":"Representing conditional expectations as elementary operators","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Conditional expectation; Econometrics; Mathematics education; Mathematical economics","score_opus":0.022671584239131556,"score_gpt":0.3416735322896878,"score_spread":0.3190019480505562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1520487853","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008785387,0.00035229896,0.8806023,0.001974712,0.00045472634,0.00011319465,0.0026469184,0.005168313,0.099902],"genre_scores_gemma":[0.48737824,0.0014997586,0.4076014,0.0018236932,0.00070855237,0.00055819534,0.0055267406,0.0046359203,0.09026747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980786,0.00070448796,0.00013770422,0.00041556312,0.00043801326,0.00022577362],"domain_scores_gemma":[0.99794334,0.0011457722,0.0001011208,0.0003520475,0.0003635819,0.000094176416],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027603868,0.0012252296,0.00069501885,0.0012326778,0.0012782405,0.005778608,0.0019440156,0.0018389425,0.05174335],"category_scores_gemma":[0.0073660454,0.0008381356,0.0021362873,0.001363687,0.002398266,0.009124343,0.0023316017,0.002334616,0.011291896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007657068,0.000018763718,0.00018391208,0.00008155992,0.000013166493,0.00016035499,0.00035236726,0.0036839973,0.0009341715,0.9694326,0.00972351,0.0153390365],"study_design_scores_gemma":[0.00002851968,0.000017034557,0.00012294545,0.00005564304,0.000027215694,0.00008257237,0.00013977605,0.03942426,0.0024482065,0.91372377,0.04389968,0.00003049208],"about_ca_topic_score_codex":0.006088296,"about_ca_topic_score_gemma":0.0059157135,"teacher_disagreement_score":0.05174335,"about_ca_system_score_codex":0.002642525,"about_ca_system_score_gemma":0.0014574204,"threshold_uncertainty_score":0.1730988},"labels":[],"label_agreement":null},{"id":"W1522210392","doi":"10.1090/s0002-9939-01-06335-3","title":"Hilbert transform of fia|`|","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Hilbert transform; Mathematics; Hilbert spectral analysis; Mathematical analysis; Singular integral; Riesz transform; Pure mathematics; Integral transform; Function (biology); Hilbert R-tree; Almost everywhere; Reproducing kernel Hilbert space; Hilbert space; Rigged Hilbert space; Integral equation","score_opus":0.043020621401472094,"score_gpt":0.32748999037126586,"score_spread":0.28446936896979375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1522210392","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034223586,0.000758705,0.74112695,0.003095407,0.0015627868,0.00007845714,0.0011022897,0.0022919409,0.21575981],"genre_scores_gemma":[0.5913904,0.00094169663,0.18522689,0.0023915747,0.0014165076,0.00022079713,0.0017254219,0.0037656461,0.21292105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892646,0.00023474176,0.00004483441,0.00021952174,0.0003678861,0.00020647504],"domain_scores_gemma":[0.99889755,0.0003097107,0.000083909435,0.00020000471,0.00037202289,0.00013681462],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015391631,0.0006993962,0.0004903404,0.0018015862,0.0007960143,0.0026334405,0.0010085107,0.0010912794,0.04170018],"category_scores_gemma":[0.0040938067,0.00023719115,0.0009501074,0.0006611667,0.00237141,0.0046557374,0.0019410776,0.002612194,0.011586288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071428425,0.000024842664,0.00021633232,0.000057714784,0.0000163215,0.00011003631,0.00016336536,0.0011896611,0.0029272148,0.95698917,0.009677749,0.028556086],"study_design_scores_gemma":[0.000017594917,0.000054948076,0.0009500167,0.00004979569,0.000013707273,0.0003068542,0.00013244362,0.03689868,0.009244389,0.89533675,0.056922827,0.00007204255],"about_ca_topic_score_codex":0.0012889206,"about_ca_topic_score_gemma":0.0008068441,"teacher_disagreement_score":0.04170018,"about_ca_system_score_codex":0.0013926817,"about_ca_system_score_gemma":0.0006066438,"threshold_uncertainty_score":0.13950104},"labels":[],"label_agreement":null},{"id":"W1522723155","doi":"10.1090/s0002-9939-01-05924-x","title":"Spectral synthesis for 𝐴(𝐺) and subspaces of 𝑉𝑁(𝐺)","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Linear subspace; Mathematics; Invariant (physics); Subspace topology; Von Neumann algebra; Pure mathematics; Representation (politics); Set (abstract data type); Invariant subspace; Algebra over a field; Spectral analysis; Fourier transform; Discrete mathematics; Von Neumann architecture; Combinatorics; Mathematical analysis; Physics; Computer science; Mathematical physics; Quantum mechanics","score_opus":0.034292727361197414,"score_gpt":0.3332177156672056,"score_spread":0.29892498830600817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1522723155","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015980724,0.0003317184,0.9035731,0.00066428573,0.00037703416,0.0000749537,0.00065419346,0.0016632171,0.07668078],"genre_scores_gemma":[0.42038697,0.00088956807,0.4763162,0.0008247982,0.00044513712,0.0004618325,0.002635022,0.0034438986,0.09459656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991642,0.00018987565,0.000051298237,0.00023046033,0.0002531773,0.00011094673],"domain_scores_gemma":[0.99895215,0.00033837,0.000095152274,0.00019148139,0.00032738008,0.00009551576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00087396416,0.00095103803,0.00047078848,0.0012353101,0.00093615794,0.0021608337,0.0006398173,0.00076463405,0.02531874],"category_scores_gemma":[0.0037526246,0.0003065238,0.0009209276,0.00063658576,0.0012928162,0.0029088517,0.001945666,0.0014299292,0.010191131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013323384,0.000029328867,0.00018354278,0.00015092795,0.00001571924,0.000103980754,0.00041080537,0.0062200073,0.0055558514,0.9136853,0.010817322,0.06269388],"study_design_scores_gemma":[0.00002863766,0.00008315334,0.00027204517,0.0001076036,0.00001835735,0.00020649577,0.00045718093,0.051000375,0.012490417,0.86969954,0.06558448,0.00005172956],"about_ca_topic_score_codex":0.0011381707,"about_ca_topic_score_gemma":0.0012433247,"teacher_disagreement_score":0.02531874,"about_ca_system_score_codex":0.0009543379,"about_ca_system_score_gemma":0.0006551713,"threshold_uncertainty_score":0.08469963},"labels":[],"label_agreement":null},{"id":"W1522943816","doi":"10.1090/s0002-9939-02-06413-4","title":"Local indicability in ordered groups: Braids and elementary amenable groups","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":38,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid; Mathematics; Mathematics education; Pure mathematics; Geography; Archaeology","score_opus":0.011268390822882465,"score_gpt":0.22560469016991608,"score_spread":0.2143362993470336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1522943816","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3300494,0.00160339,0.5182228,0.0010247896,0.00031165173,0.000067504334,0.000305977,0.0013272278,0.14708723],"genre_scores_gemma":[0.9470385,0.0005272487,0.027948685,0.00016550762,0.00028664403,0.00005178248,0.00023704369,0.00026552062,0.02347915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989159,0.00028166754,0.00006397731,0.00027169974,0.00029328003,0.00017345604],"domain_scores_gemma":[0.9984016,0.0005223273,0.00023692557,0.00042193758,0.00018505743,0.00023206642],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010084108,0.0005404514,0.0005015865,0.0014190794,0.00085128087,0.0023724323,0.0005246946,0.00043646584,0.0065368493],"category_scores_gemma":[0.002526643,0.00024057383,0.00080071203,0.0006918916,0.004364748,0.005492782,0.002171565,0.0016003349,0.0012773771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023817825,0.000009927327,0.0002787284,0.000029217352,0.0000046779023,0.000064651875,0.00056752894,0.0004495695,0.0017079405,0.9896159,0.00035264055,0.0068954173],"study_design_scores_gemma":[0.000008287589,0.000032809574,0.00048434339,0.000022459868,0.000013566151,0.00014555723,0.00032105384,0.0045738546,0.0034243197,0.9824563,0.008497998,0.000019462661],"about_ca_topic_score_codex":0.00048905046,"about_ca_topic_score_gemma":0.00049940747,"teacher_disagreement_score":0.0065368493,"about_ca_system_score_codex":0.00068555376,"about_ca_system_score_gemma":0.0003672076,"threshold_uncertainty_score":0.02186793},"labels":[],"label_agreement":null},{"id":"W1526886002","doi":"10.1090/s0002-9939-08-09774-8","title":"Restriction and extension of Fourier multipliers between weighted 𝐿^{𝑝} spaces on ℝⁿ and 𝕋ⁿ","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"University of Alberta","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.05298286286232349,"score_gpt":0.3285876294540703,"score_spread":0.27560476659174676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1526886002","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09235411,0.0006392205,0.8021287,0.0012346299,0.0006143995,0.000083652405,0.00054974004,0.00035440916,0.10204115],"genre_scores_gemma":[0.63696337,0.0015681867,0.23484461,0.00095523125,0.0013816622,0.00038525256,0.0013438328,0.0015139293,0.12104398],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983364,0.000460438,0.00010228184,0.000405685,0.00047363067,0.00022167822],"domain_scores_gemma":[0.9971827,0.0011054063,0.00038588967,0.00035793282,0.0005907398,0.00037737068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00238345,0.0010669901,0.00054618926,0.0024817644,0.0009770544,0.0025749956,0.0014503194,0.00077683764,0.018838122],"category_scores_gemma":[0.008119005,0.0005733512,0.0014126081,0.0011865038,0.00226414,0.0064057237,0.003970412,0.0035409452,0.004085719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056542587,0.000022923597,0.00013671652,0.000048340244,0.0000121083185,0.00007249411,0.00015996194,0.0008658947,0.0013937826,0.98134893,0.0021662621,0.01371608],"study_design_scores_gemma":[0.000023754026,0.00007099654,0.0005602976,0.000036371726,0.00001455354,0.00028449064,0.00012455528,0.015433304,0.0024926611,0.96518576,0.015733631,0.00003965241],"about_ca_topic_score_codex":0.00079062127,"about_ca_topic_score_gemma":0.000563363,"teacher_disagreement_score":0.018838122,"about_ca_system_score_codex":0.0010130686,"about_ca_system_score_gemma":0.00062868424,"threshold_uncertainty_score":0.06301987},"labels":[],"label_agreement":null},{"id":"W1527522948","doi":"10.1090/s0002-9939-06-08320-1","title":"On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":64,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Competition (biology); Mathematics; Mathematical economics; Statistical physics; Applied mathematics; Physics; Biology; Ecology","score_opus":0.013609417469727578,"score_gpt":0.2506709538724454,"score_spread":0.23706153640271785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1527522948","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19903459,0.0024315151,0.59565,0.006459858,0.0006663934,0.00020093027,0.00059384364,0.00047850248,0.19448432],"genre_scores_gemma":[0.8923228,0.0012498329,0.053132087,0.00080923084,0.0003052219,0.00046861856,0.00031325663,0.000251067,0.051147833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99913234,0.0003118861,0.00004456586,0.00012400307,0.00022624015,0.00016105158],"domain_scores_gemma":[0.9965869,0.0020687373,0.00041901646,0.0001460782,0.00040385616,0.00037546962],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002470017,0.0012461809,0.0011806885,0.0014153119,0.0016761043,0.0024238625,0.001837597,0.002545553,0.012153419],"category_scores_gemma":[0.008874098,0.00054921187,0.0018968225,0.0007624548,0.0029200078,0.0024676742,0.0022312468,0.0028330954,0.0011243594],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025404379,0.000019302834,0.0003113193,0.00008986506,0.00002930634,0.00017570882,0.00011713932,0.01914031,0.0009866152,0.9750763,0.0018260487,0.0022025995],"study_design_scores_gemma":[0.00005019259,0.000037315192,0.00030684264,0.000055524233,0.000026217236,0.00014936246,0.00009252094,0.27987653,0.00035699367,0.71709543,0.0019115212,0.000041542284],"about_ca_topic_score_codex":0.0033334012,"about_ca_topic_score_gemma":0.002803577,"teacher_disagreement_score":0.012153419,"about_ca_system_score_codex":0.0027153445,"about_ca_system_score_gemma":0.00226386,"threshold_uncertainty_score":0.040657222},"labels":[],"label_agreement":null},{"id":"W1528568346","doi":"10.1090/s0002-9939-04-07345-9","title":"New obstructions to the thickening of 𝐶𝑊-complexes","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Thickening; Materials science; Polymer science","score_opus":0.02346660163886132,"score_gpt":0.2974937037944108,"score_spread":0.2740271021555495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1528568346","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52510995,0.0012973652,0.27848473,0.003523505,0.0010751926,0.00014707069,0.0002551619,0.00077108125,0.18933596],"genre_scores_gemma":[0.9286051,0.00055064925,0.029462146,0.0004036277,0.00044239577,0.000086290755,0.0002050775,0.0003357579,0.039908998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849343,0.00030415072,0.00011387761,0.0002702264,0.0005244714,0.00029377366],"domain_scores_gemma":[0.9978801,0.00071284355,0.00024202657,0.00028899516,0.00032838387,0.0005475813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013685172,0.0008313329,0.0007764953,0.0025879585,0.0023137191,0.0035040413,0.0009897023,0.0012512476,0.007989861],"category_scores_gemma":[0.005932211,0.0007622994,0.0016894202,0.00065391936,0.003998597,0.005851958,0.006144221,0.004098689,0.0009355337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001834406,0.000012670427,0.00029056176,0.00002894617,0.0000073110705,0.0002310048,0.0004516981,0.0006019937,0.0014826114,0.9937517,0.00065250514,0.0024705217],"study_design_scores_gemma":[0.00003143608,0.000048116955,0.0009264836,0.0000413598,0.00002105533,0.00045572926,0.000490722,0.009964481,0.0032499833,0.9716187,0.013114242,0.000037672213],"about_ca_topic_score_codex":0.00070971675,"about_ca_topic_score_gemma":0.00076764595,"teacher_disagreement_score":0.007989861,"about_ca_system_score_codex":0.0018046466,"about_ca_system_score_gemma":0.00048313953,"threshold_uncertainty_score":0.02672875},"labels":[],"label_agreement":null},{"id":"W1529998190","doi":"10.1090/s0002-9939-04-07339-3","title":"A cancellation law for partially ordered sets and 𝑇₀ spaces","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Element (criminal law); Order (exchange); Mathematics; Pure mathematics; Factor (programming language); Discrete mathematics; Topology (electrical circuits); Combinatorics; Computer science; Law; Political science; Business","score_opus":0.044084924268561546,"score_gpt":0.34078682241543107,"score_spread":0.29670189814686954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1529998190","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.115692265,0.001184236,0.77873707,0.0034682823,0.00063532114,0.00018595891,0.00048171415,0.00062593113,0.098989174],"genre_scores_gemma":[0.8415148,0.0009112395,0.11897754,0.00217971,0.00076256914,0.00032968775,0.0010198952,0.00023991846,0.034064498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99381435,0.0011819351,0.0004618191,0.00085432385,0.0028578017,0.0008298439],"domain_scores_gemma":[0.9901057,0.0055267247,0.00059257913,0.0007858304,0.0022943886,0.00069475826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0053193024,0.0006307028,0.0008136282,0.002211624,0.003611918,0.0034550517,0.0015586695,0.001807461,0.009784218],"category_scores_gemma":[0.012184808,0.00062886876,0.0027118577,0.0012071357,0.006385288,0.011634036,0.0054731844,0.004460348,0.0015419811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003809154,0.000015998603,0.00035174284,0.000046762376,0.000010790574,0.00011814854,0.0002732451,0.00024241349,0.00087027217,0.99364763,0.0007271112,0.0036578346],"study_design_scores_gemma":[0.000032227937,0.00005238983,0.00033466192,0.000028181747,0.000020969179,0.0002784863,0.00017344556,0.0051489123,0.0025104997,0.9807773,0.010607795,0.000035075896],"about_ca_topic_score_codex":0.0031959186,"about_ca_topic_score_gemma":0.0018204855,"teacher_disagreement_score":0.009784218,"about_ca_system_score_codex":0.002192663,"about_ca_system_score_gemma":0.001708527,"threshold_uncertainty_score":0.032731473},"labels":[],"label_agreement":null},{"id":"W1531229952","doi":"10.1090/s0002-9939-07-08887-9","title":"The convex envelope is the solution of a nonlinear obstacle problem","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":102,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Envelope (radar); Mathematics; Nonlinear system; Mathematical analysis; Regular polygon; Partial differential equation; Function (biology); Obstacle; Bellman equation; Obstacle problem; Convex analysis; Applied mathematics; Mathematical optimization; Convex optimization; Physics; Computer science; Geometry","score_opus":0.018060387432396203,"score_gpt":0.23448492187245012,"score_spread":0.2164245344400539,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1531229952","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05306582,0.00038369768,0.9129627,0.0013997743,0.00014511225,0.00003991158,0.00011535755,0.00006632481,0.03182137],"genre_scores_gemma":[0.85259205,0.0009612029,0.09540641,0.00040948048,0.00021345502,0.0001711883,0.00029483382,0.00019767192,0.04975383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966323,0.000066159635,0.0000121119165,0.000080901926,0.00010274002,0.00007487115],"domain_scores_gemma":[0.9994624,0.00021315759,0.00009387771,0.000043359687,0.00011690426,0.00007027275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000521689,0.00057620596,0.00074897346,0.00049689866,0.0006277254,0.002191127,0.0008336941,0.0016630436,0.0028876048],"category_scores_gemma":[0.0021423274,0.0003508257,0.0007160662,0.00033821684,0.0020695254,0.0021119376,0.0017040345,0.001606768,0.00074432924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004803893,0.000045333727,0.0004213329,0.000112319925,0.000027180773,0.00031922202,0.00021800297,0.2551103,0.006383113,0.7168424,0.0025627029,0.017909996],"study_design_scores_gemma":[0.000011904699,0.000044722845,0.00023694873,0.000033518874,0.000009827585,0.00021143626,0.00009490444,0.75389004,0.0026631502,0.23524657,0.007526741,0.000030263935],"about_ca_topic_score_codex":0.0019939477,"about_ca_topic_score_gemma":0.0007877403,"teacher_disagreement_score":0.0028876048,"about_ca_system_score_codex":0.0007771849,"about_ca_system_score_gemma":0.0011204835,"threshold_uncertainty_score":0.009660006},"labels":[],"label_agreement":null},{"id":"W1532970972","doi":"10.1090/s0002-9939-05-08004-4","title":"Polynomial Gauss sums","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Carleton University","funders":"","keywords":"Mathematics; Exponential function; Gauss sum; Polynomial; Product (mathematics); Quadratic Gauss sum; Exponential polynomial; Gauss; Sums of powers; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry; Physics","score_opus":0.032194047840424726,"score_gpt":0.3292708360006295,"score_spread":0.2970767881602048,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1532970972","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18983117,0.0071562123,0.49349788,0.004624683,0.0014906884,0.000082304905,0.00077806466,0.0008822137,0.30165672],"genre_scores_gemma":[0.914813,0.0031272024,0.038001537,0.00068166776,0.0012386397,0.00006341717,0.0005327257,0.00040298855,0.04113889],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986513,0.00017888605,0.000061482824,0.00032932882,0.00047008955,0.00030897834],"domain_scores_gemma":[0.99658406,0.0014840484,0.0001848046,0.0005814769,0.00082265155,0.0003428182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014229687,0.00078481063,0.0009366776,0.00220492,0.0020341065,0.0034417785,0.0011674144,0.0008042575,0.01357065],"category_scores_gemma":[0.007973717,0.00044829896,0.0009742643,0.0019826037,0.003185745,0.008968715,0.0041600587,0.0039787614,0.0029619262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002683078,0.00000983203,0.00030953082,0.000047959795,0.000008208445,0.000044818662,0.00011347716,0.0006629198,0.0005776136,0.9871497,0.0018954644,0.009153594],"study_design_scores_gemma":[0.0000057446937,0.000016858658,0.00036590794,0.00003143256,0.000026985774,0.00022898741,0.000056154968,0.0074093603,0.0018637223,0.97627264,0.0137044955,0.000017683851],"about_ca_topic_score_codex":0.0006410497,"about_ca_topic_score_gemma":0.0006626137,"teacher_disagreement_score":0.01357065,"about_ca_system_score_codex":0.0013729465,"about_ca_system_score_gemma":0.00064803043,"threshold_uncertainty_score":0.045398295},"labels":[],"label_agreement":null},{"id":"W1533711568","doi":"10.1090/s0002-9939-02-06800-4","title":"Deformations of minimal Lagrangian submanifolds with boundary","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Algorithm; Annotation; Submanifold; Computer science; Boundary (topology); Artificial intelligence; Type (biology); Mathematics; Pure mathematics; Mathematical analysis; Biology","score_opus":0.026706306840178894,"score_gpt":0.24887934328278433,"score_spread":0.22217303644260544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1533711568","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92993677,0.00021976412,0.01932839,0.0006963366,0.00014491884,0.00003664112,0.00012617513,0.0003400597,0.049170967],"genre_scores_gemma":[0.9801169,0.00008009968,0.004373349,0.00011344901,0.000067724766,0.00002567629,0.00019815298,0.00010380369,0.014920864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998037,0.000027359238,0.00001020029,0.000051486782,0.000056491863,0.00005075908],"domain_scores_gemma":[0.9998566,0.000017806451,0.000026615822,0.000026099484,0.000017373026,0.000055516222],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015729971,0.00045527986,0.00040675997,0.0008768143,0.00103764,0.001094289,0.00042091715,0.00071106054,0.005837627],"category_scores_gemma":[0.000509524,0.00029539925,0.00057595375,0.00022187288,0.0012303283,0.001214686,0.0017782706,0.0007919223,0.00080187875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001416617,0.00005990576,0.0017366962,0.00006676307,0.000028083932,0.0012623732,0.0008714969,0.007187773,0.021092461,0.9526795,0.0031011463,0.011772118],"study_design_scores_gemma":[0.00006476343,0.00015351118,0.006989933,0.00003413291,0.000019828298,0.001156703,0.00095019885,0.044681173,0.006898477,0.9286167,0.010385706,0.0000487728],"about_ca_topic_score_codex":0.0010454352,"about_ca_topic_score_gemma":0.0011335382,"teacher_disagreement_score":0.005837627,"about_ca_system_score_codex":0.0010274128,"about_ca_system_score_gemma":0.00032032942,"threshold_uncertainty_score":0.019528806},"labels":[],"label_agreement":null},{"id":"W1535604086","doi":"10.1090/s0002-9939-00-05558-1","title":"A note on triangular derivations of 𝐤[𝐗₁,𝐗₂,𝐗₃,𝐗₄]","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Integer (computer science); Zero (linguistics); Mathematics; Field (mathematics); Combinatorics; Ring (chemistry); Finitely-generated abelian group; Physics; Pure mathematics; Chemistry","score_opus":0.021575947345365037,"score_gpt":0.30208080182432584,"score_spread":0.2805048544789608,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1535604086","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006114251,0.0024533102,0.51453346,0.00775088,0.0062803836,0.00012191247,0.0012507241,0.0024717276,0.45902342],"genre_scores_gemma":[0.2730164,0.005361281,0.4428289,0.01008959,0.0031219136,0.0004472344,0.0030277302,0.0065146955,0.25559232],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9979923,0.0007956839,0.00018179615,0.0004113702,0.00045929354,0.00015955047],"domain_scores_gemma":[0.9975674,0.0010459964,0.00007835388,0.00056726596,0.0006458982,0.00009514551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024012146,0.00083419913,0.0006673847,0.0007591766,0.0022649912,0.0025949737,0.002141718,0.0010197422,0.04966571],"category_scores_gemma":[0.007881314,0.0006592102,0.0012268504,0.001717548,0.0023134549,0.008226837,0.003340485,0.004142343,0.021389578],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044259865,0.000010847526,0.00007936224,0.00008609778,0.0000069348794,0.00013964604,0.0004951718,0.00028847958,0.00054411247,0.93379164,0.04043773,0.024075737],"study_design_scores_gemma":[0.0000192559,0.000025752794,0.00012068647,0.000064923675,0.000013585374,0.00021806675,0.00017659635,0.0017265297,0.0017670105,0.7754817,0.22035275,0.000033103148],"about_ca_topic_score_codex":0.00575326,"about_ca_topic_score_gemma":0.0062359436,"teacher_disagreement_score":0.04966571,"about_ca_system_score_codex":0.0016827559,"about_ca_system_score_gemma":0.0012585507,"threshold_uncertainty_score":0.16614836},"labels":[],"label_agreement":null},{"id":"W1536758725","doi":"10.1090/s0002-9939-00-05985-2","title":"Optimizing matrix stability","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Fluid Dynamics and Turbulent Flows","field":"Engineering","cited_by":44,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; U.S. Department of Energy; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Affine transformation; Jordan matrix; Subspace topology; Square matrix; Matrix (chemical analysis); Stability (learning theory); Linear subspace; Affine space; Minification; Block (permutation group theory); Pure mathematics; Block matrix; Applied mathematics; Mathematical analysis; Combinatorics; Mathematical optimization; Symmetric matrix; Computer science; Physics","score_opus":0.007020195027600681,"score_gpt":0.2134367814606702,"score_spread":0.2064165864330695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1536758725","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08818623,0.00050654827,0.89402235,0.0007591919,0.000053974032,0.000062269406,0.00013952375,0.0002476529,0.01602231],"genre_scores_gemma":[0.88619655,0.00060741574,0.100244686,0.00018120935,0.0001013658,0.00019006632,0.00025417196,0.00023399077,0.011990477],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997086,0.00011831311,0.000010930102,0.000074047486,0.00005385899,0.00003423051],"domain_scores_gemma":[0.99918574,0.000493365,0.00007983002,0.00005555124,0.00011766806,0.000067819696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084227306,0.0007037082,0.0006321646,0.00039904512,0.000431856,0.0010708118,0.000521737,0.000885251,0.0032763318],"category_scores_gemma":[0.003396088,0.00028864,0.00025700423,0.00037339673,0.0009175797,0.0011767251,0.0013249221,0.0006906363,0.00059967587],"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":[0.00012868481,0.000051720916,0.0004980331,0.0001432272,0.000037435235,0.000058453865,0.00009429383,0.78664887,0.005935117,0.16991062,0.0030368948,0.03345665],"study_design_scores_gemma":[0.00000770099,0.00003154369,0.000072330695,0.000007953239,0.0000035786334,0.000010264359,0.00001808971,0.9482075,0.0010582063,0.049875256,0.0007021119,0.000005370336],"about_ca_topic_score_codex":0.0013527927,"about_ca_topic_score_gemma":0.0012750208,"teacher_disagreement_score":0.0032763318,"about_ca_system_score_codex":0.00076183025,"about_ca_system_score_gemma":0.0007467676,"threshold_uncertainty_score":0.0109604},"labels":[],"label_agreement":null},{"id":"W1536879944","doi":"10.1090/s0002-9939-05-07719-1","title":"A new proximal point iteration that converges weakly but not in norm","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":43,"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 Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Norm (philosophy); Mathematics; Applied mathematics; Pure mathematics","score_opus":0.011626525216818775,"score_gpt":0.23340903688562123,"score_spread":0.22178251166880245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1536879944","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0042471197,0.00017231675,0.989234,0.0002590388,0.00015078677,0.000046771962,0.00003248741,0.00014900007,0.0057085217],"genre_scores_gemma":[0.10679832,0.0005212205,0.8720752,0.00034313282,0.00021877054,0.00027488897,0.00015483623,0.00028060278,0.019333092],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855834,0.0004567355,0.0000643947,0.0002842035,0.00051382184,0.0001225366],"domain_scores_gemma":[0.99830353,0.0006852969,0.00008832609,0.00019744213,0.0004569622,0.00026847055],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023549094,0.0011137341,0.0017383405,0.0014306892,0.0010622725,0.0017717142,0.0017778752,0.0028820059,0.0043789404],"category_scores_gemma":[0.006669193,0.00072656886,0.0014957236,0.0012632579,0.0030196873,0.0021748242,0.004869859,0.0032422752,0.0016446227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028437833,0.00019017643,0.0006641596,0.00050621614,0.00014499352,0.00047575543,0.0005504575,0.14169036,0.019019218,0.70365167,0.009142299,0.1236803],"study_design_scores_gemma":[0.00015326637,0.00050976704,0.00024303661,0.000093794275,0.000057452526,0.0006335121,0.00007071764,0.6980657,0.008588557,0.26305136,0.028441304,0.000091553484],"about_ca_topic_score_codex":0.0009742569,"about_ca_topic_score_gemma":0.0008817431,"teacher_disagreement_score":0.0043789404,"about_ca_system_score_codex":0.0007856457,"about_ca_system_score_gemma":0.0014715763,"threshold_uncertainty_score":0.014649034},"labels":[],"label_agreement":null},{"id":"W1537475971","doi":"10.1090/s0002-9939-03-07229-0","title":"On the Bartle-Graves theorem","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Monotone polygon; Bounded function; Discrete mathematics; Pure mathematics; Set (abstract data type); Banach space; Bounded inverse theorem; Mathematical analysis; Computer science; Bounded operator","score_opus":0.01088055647142384,"score_gpt":0.2292844841287153,"score_spread":0.21840392765729147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1537475971","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1454658,0.0108345,0.4925618,0.010812135,0.0014742864,0.00007703223,0.00057917414,0.00032209622,0.33787322],"genre_scores_gemma":[0.8652738,0.0064313025,0.06498722,0.0022809254,0.0019153511,0.00016951465,0.000342176,0.00016676597,0.05843285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992035,0.00019891933,0.000032849195,0.00019490525,0.00026444066,0.00010542786],"domain_scores_gemma":[0.9987317,0.00068860146,0.00009489124,0.00016734572,0.00019684213,0.00012065651],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019126622,0.0003732106,0.00064054894,0.0012304743,0.0015379464,0.001625493,0.0005077825,0.00093975087,0.005075894],"category_scores_gemma":[0.003959277,0.00025455776,0.0007480351,0.00060038676,0.003726675,0.004297392,0.0026787287,0.002240434,0.0009273024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012826322,0.0000037866114,0.000064632506,0.0000146200955,0.0000029205105,0.000036200407,0.00006543642,0.00044190296,0.0002275624,0.99324834,0.0011087625,0.0047728936],"study_design_scores_gemma":[0.000008480706,0.000021653039,0.00024175913,0.000017951495,0.000003841363,0.00011094907,0.00004080724,0.003207558,0.00031968922,0.9789468,0.017069055,0.000011375918],"about_ca_topic_score_codex":0.0008891429,"about_ca_topic_score_gemma":0.00050758914,"teacher_disagreement_score":0.005075894,"about_ca_system_score_codex":0.00091089285,"about_ca_system_score_gemma":0.00040145885,"threshold_uncertainty_score":0.016980588},"labels":[],"label_agreement":null},{"id":"W1538764348","doi":"10.1090/s0002-9939-05-08117-7","title":"A note on the stability of local zeta functions","year":2005,"lang":"fr","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Lipschitz continuity; Stability (learning theory); Mathematical analysis; Elliptic curve; Pure mathematics; Mathematical physics","score_opus":0.028408706538061268,"score_gpt":0.2953793188855307,"score_spread":0.26697061234746944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1538764348","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8024718,0.002020366,0.1597735,0.001605565,0.0002939659,0.000027473936,0.00006414644,0.0003459575,0.03339721],"genre_scores_gemma":[0.994034,0.000310775,0.0033494218,0.0000645765,0.00008512661,0.00001248826,0.000013885131,0.000019141498,0.0021106675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99992156,0.00001496939,0.0000032220926,0.000018909948,0.000024880754,0.000016446822],"domain_scores_gemma":[0.9993975,0.00028203346,0.00009145909,0.00004996203,0.00008253426,0.000096459575],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003873753,0.00027396737,0.00020982188,0.0005412158,0.00047245613,0.00082197937,0.00032303526,0.00037615382,0.003087249],"category_scores_gemma":[0.0015196074,0.00010187561,0.00025658606,0.00018549616,0.0012322307,0.00078807847,0.00096494,0.0010355257,0.00025930975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00045836516,0.00006679893,0.005297011,0.00035615615,0.00006767605,0.0021483472,0.0015950749,0.05226362,0.2518034,0.640614,0.0028115527,0.042518005],"study_design_scores_gemma":[0.00010751677,0.0011355638,0.012217433,0.00011177128,0.000070156595,0.0020601016,0.00086551893,0.37321216,0.1015388,0.49196804,0.016559795,0.00015312461],"about_ca_topic_score_codex":0.00027822587,"about_ca_topic_score_gemma":0.00011144811,"teacher_disagreement_score":0.003087249,"about_ca_system_score_codex":0.00035265592,"about_ca_system_score_gemma":0.000114719856,"threshold_uncertainty_score":0.010327876},"labels":[],"label_agreement":null},{"id":"W1539655389","doi":"10.1090/s0002-9939-03-06734-0","title":"Two 𝐹_{𝜎𝛿} ideals","year":2003,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"City University of New York; National Science Foundation","keywords":"Mathematics; Computer science","score_opus":0.024046784440215855,"score_gpt":0.28437384308452957,"score_spread":0.2603270586443137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1539655389","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024472421,0.0008654506,0.17814162,0.004375098,0.0046821106,0.00021204977,0.001898093,0.0029708543,0.7823824],"genre_scores_gemma":[0.27888846,0.0013121702,0.12824655,0.0020828333,0.0017278625,0.00035678677,0.0045617446,0.002921324,0.57990223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719787,0.00035214552,0.00016705653,0.0005573779,0.0010862057,0.00063945726],"domain_scores_gemma":[0.99819463,0.0002678511,0.0001289967,0.00019788202,0.00086059386,0.0003501171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014007604,0.0012240711,0.0009098016,0.002122633,0.004495908,0.005193375,0.0013630658,0.0011228139,0.06931801],"category_scores_gemma":[0.0032303713,0.000944135,0.002107621,0.0013180025,0.0033660366,0.006596365,0.004718535,0.004186182,0.030078111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012869464,0.00006328101,0.00022434749,0.00013235417,0.000022224109,0.00026073377,0.0004940865,0.0002139912,0.0023434868,0.943714,0.028350625,0.024052083],"study_design_scores_gemma":[0.000063473475,0.00006435159,0.0005394211,0.00009363665,0.000036667094,0.00053839036,0.0006375008,0.001298349,0.008272706,0.68494415,0.30344278,0.00006854092],"about_ca_topic_score_codex":0.0018677928,"about_ca_topic_score_gemma":0.0020650092,"teacher_disagreement_score":0.06931801,"about_ca_system_score_codex":0.0028852155,"about_ca_system_score_gemma":0.0014198641,"threshold_uncertainty_score":0.23189187},"labels":[],"label_agreement":null},{"id":"W1540175519","doi":"10.1090/s0002-9939-02-06367-0","title":"A Lindelöf space with no Lindelöf subspace of size ℵ₁","year":2002,"lang":"de","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Uncountable set; Aleph; Subspace topology; Space (punctuation); Set (abstract data type); Mathematics; Pure mathematics; Combinatorics; Discrete mathematics; Physics; Computer science; Mathematical analysis; Countable set; Particle physics","score_opus":0.01501892021561831,"score_gpt":0.25407716096710664,"score_spread":0.23905824075148832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1540175519","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10697476,0.0011691726,0.65743995,0.003171265,0.00042360017,0.00013435505,0.005162849,0.0033402836,0.22218393],"genre_scores_gemma":[0.6986068,0.00063506694,0.20379485,0.0008553102,0.00021745318,0.00036802696,0.007303737,0.0013840521,0.08683475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812657,0.00033045508,0.0001463008,0.00048414522,0.0005365484,0.0003760212],"domain_scores_gemma":[0.99794585,0.00059553527,0.0001214425,0.0004446531,0.00062554365,0.00026695765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008206727,0.00083976594,0.00085259875,0.0015978842,0.002810248,0.004662347,0.0016090331,0.0010054997,0.022117821],"category_scores_gemma":[0.003450097,0.0004573264,0.0014556013,0.0020184116,0.0036826602,0.009147385,0.0034940953,0.0022837513,0.0041213785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055688542,0.000018577875,0.0002906376,0.00005649203,0.000008283119,0.00012652921,0.00025497715,0.0011309434,0.0006583722,0.986159,0.0041983016,0.007042163],"study_design_scores_gemma":[0.00002100621,0.000025250276,0.00028868628,0.000026352966,0.000011737509,0.00024734906,0.00040143047,0.007524511,0.0016318057,0.95902216,0.030761495,0.000038240873],"about_ca_topic_score_codex":0.005694327,"about_ca_topic_score_gemma":0.005230543,"teacher_disagreement_score":0.022117821,"about_ca_system_score_codex":0.0020693867,"about_ca_system_score_gemma":0.0015053886,"threshold_uncertainty_score":0.07399148},"labels":[],"label_agreement":null},{"id":"W1541343583","doi":"10.1090/s0002-9939-2010-10560-9","title":"The class number of $\\mathbb{Q}(\\sqrt{-p})$ and digits of $1/p$","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","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":"Queen's University","funders":"","keywords":"Class (philosophy); Combinatorics; Mathematics; Discrete mathematics; Computer science; Artificial intelligence","score_opus":0.005581346167859151,"score_gpt":0.23487206151787754,"score_spread":0.22929071535001838,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1541343583","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6118823,0.0016647213,0.056380313,0.004702106,0.0017909432,0.000081443395,0.0008854106,0.0006796562,0.32193315],"genre_scores_gemma":[0.93942386,0.00079356873,0.008060622,0.00044241388,0.0007673537,0.00011534629,0.00043026876,0.00040601142,0.049560554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992399,0.00008813408,0.00001999648,0.0001957581,0.00018583242,0.0002703214],"domain_scores_gemma":[0.99878925,0.00045356204,0.00017994859,0.00010116656,0.00016268632,0.0003134423],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00077475695,0.00084063306,0.0008676812,0.0027834624,0.0032571787,0.004354753,0.0013974779,0.0011229754,0.016854487],"category_scores_gemma":[0.0031878839,0.00039038665,0.0007132758,0.0014113373,0.0048588375,0.0033635949,0.0016101289,0.0032571245,0.003155008],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012493126,0.0000339269,0.00085970515,0.000049087357,0.000009969659,0.000116945426,0.00028581594,0.0007991991,0.0017293909,0.9777404,0.0039622146,0.014288513],"study_design_scores_gemma":[0.000045320234,0.00008492505,0.0031392602,0.00013248005,0.000030921277,0.0005626291,0.0002468154,0.014976931,0.007537383,0.9434062,0.029735656,0.00010142643],"about_ca_topic_score_codex":0.0022748194,"about_ca_topic_score_gemma":0.0016911444,"teacher_disagreement_score":0.016854487,"about_ca_system_score_codex":0.002953587,"about_ca_system_score_gemma":0.0011050928,"threshold_uncertainty_score":0.056383908},"labels":[],"label_agreement":null},{"id":"W1542331679","doi":"10.1090/s0002-9939-04-07314-9","title":"A note on cocycle-conjugate endomorphisms of von Neumann algebras","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Endomorphism; Von Neumann architecture; Conjugate; Pure mathematics; Mathematics; Confluence; Abelian von Neumann algebra; Algebra over a field; Jordan algebra; Computer science; Mathematical analysis; Algebra representation","score_opus":0.025887718837462936,"score_gpt":0.3195321988338602,"score_spread":0.29364447999639726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1542331679","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39929658,0.0013241454,0.45895532,0.0021597461,0.0011050578,0.00015999844,0.00026643285,0.00044905758,0.13628364],"genre_scores_gemma":[0.93881965,0.00068655406,0.037897747,0.0004601207,0.0004871147,0.00012051875,0.00014345147,0.0002160905,0.021168677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984798,0.00037986063,0.00011336959,0.00035429318,0.0004609415,0.0002117506],"domain_scores_gemma":[0.99824214,0.0005872611,0.00014847289,0.0002947677,0.00050638226,0.0002209901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016056753,0.00056842796,0.00058272056,0.0011579468,0.0014684567,0.0025691972,0.0006269597,0.0010524457,0.006220891],"category_scores_gemma":[0.0040079704,0.00039419383,0.0010803584,0.00074977893,0.0037317665,0.004216637,0.0025783302,0.0018850942,0.0010511421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003463936,0.000015307167,0.00037262827,0.000024172668,0.0000073104547,0.00019250411,0.0003658019,0.00035547893,0.0037085444,0.9898318,0.0005367784,0.0045550363],"study_design_scores_gemma":[0.000018284572,0.000099106364,0.0006974094,0.000019528808,0.000015545525,0.0003496861,0.00023608902,0.006934881,0.011430093,0.9696656,0.010495267,0.000038571285],"about_ca_topic_score_codex":0.0009561709,"about_ca_topic_score_gemma":0.0005164859,"teacher_disagreement_score":0.006220891,"about_ca_system_score_codex":0.0010574769,"about_ca_system_score_gemma":0.0006694911,"threshold_uncertainty_score":0.020810902},"labels":[],"label_agreement":null},{"id":"W1542569653","doi":"10.1090/s0002-9939-02-06460-2","title":"A proof of a partition theorem for [ℚ]ⁿ","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Partition (number theory); Algorithm; Class (philosophy); Computer science; Annotation; Mathematics; Discrete mathematics; Combinatorics; Artificial intelligence","score_opus":0.01997122170346638,"score_gpt":0.2475283934426009,"score_spread":0.22755717173913453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1542569653","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030064134,0.0031522238,0.6194298,0.00990831,0.0039126,0.00019200286,0.0017526096,0.0014451449,0.3301431],"genre_scores_gemma":[0.6084709,0.0035078465,0.22154917,0.008465399,0.0030174004,0.000708988,0.0051894546,0.0022039013,0.14688689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986765,0.0001531912,0.00005952873,0.00034962397,0.00046584863,0.00029530993],"domain_scores_gemma":[0.998312,0.0007265377,0.000083515944,0.00022010363,0.0005127572,0.00014497644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010864534,0.0008837575,0.0008534482,0.0013986789,0.0028079012,0.002350447,0.0018081728,0.0010225845,0.02707417],"category_scores_gemma":[0.0033612938,0.0008789976,0.002351475,0.0017348116,0.003076244,0.0063533364,0.0046477057,0.0048078424,0.0056348504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000427693,0.000017084674,0.00013686933,0.00010008009,0.000020653304,0.00008695084,0.0002912829,0.00040237574,0.0010466456,0.97254306,0.013106373,0.012205846],"study_design_scores_gemma":[0.000034998073,0.000025411913,0.00036992034,0.000045347926,0.000028982371,0.00018012365,0.00011908877,0.0021083949,0.0019524995,0.91713566,0.07797676,0.000022793325],"about_ca_topic_score_codex":0.0041590016,"about_ca_topic_score_gemma":0.003081456,"teacher_disagreement_score":0.02707417,"about_ca_system_score_codex":0.002915531,"about_ca_system_score_gemma":0.0010117134,"threshold_uncertainty_score":0.09057206},"labels":[],"label_agreement":null},{"id":"W1543011038","doi":"10.1090/s0002-9939-03-06953-3","title":"Convergence rates of cascade algorithms","year":2003,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Image and Signal Denoising Methods","field":"Computer Science","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":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Cascade; Convergence (economics); Algorithm; Computer science; Chemistry","score_opus":0.028048367018333655,"score_gpt":0.30284416695254196,"score_spread":0.27479579993420833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1543011038","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06167607,0.003735042,0.8792859,0.0032226937,0.0006840884,0.00040113745,0.0006891819,0.00185711,0.048448782],"genre_scores_gemma":[0.66684645,0.0021467716,0.29039744,0.00116162,0.0005102306,0.0010693771,0.0016949711,0.0012469818,0.03492616],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99675447,0.0011323183,0.00015453616,0.000639921,0.0007971962,0.0005215205],"domain_scores_gemma":[0.9736535,0.018726936,0.001065217,0.001896289,0.003472908,0.0011852321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008768924,0.0023093917,0.00211839,0.002382508,0.0024383941,0.003196031,0.004055682,0.004495214,0.0153542645],"category_scores_gemma":[0.051961277,0.001055387,0.0021816907,0.0012531977,0.0030353046,0.005794494,0.0056498004,0.0041296477,0.0034704497],"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":[0.0012898543,0.00024585557,0.0051086247,0.0010531053,0.0003045071,0.0003062259,0.00042226177,0.6117152,0.003440809,0.25453734,0.027560435,0.09401583],"study_design_scores_gemma":[0.00003733306,0.000070106784,0.00021257978,0.0000667396,0.000032601623,0.00005906945,0.00004421027,0.95629543,0.0012046272,0.040532127,0.0014301409,0.000015131133],"about_ca_topic_score_codex":0.007660349,"about_ca_topic_score_gemma":0.0067812456,"teacher_disagreement_score":0.0153542645,"about_ca_system_score_codex":0.002830677,"about_ca_system_score_gemma":0.0031927198,"threshold_uncertainty_score":0.051365197},"labels":[],"label_agreement":null},{"id":"W1544033182","doi":"10.1090/s0002-9939-00-05563-5","title":"Products of roots of the identity","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invertible matrix; Algorithm; Annotation; Computer science; Type (biology); Semantics (computer science); Artificial intelligence; Mathematics; Pure mathematics; Programming language; Biology","score_opus":0.02239677754864735,"score_gpt":0.30188771625928523,"score_spread":0.2794909387106379,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1544033182","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14062047,0.0009865947,0.61977184,0.0012866596,0.0009936724,0.00012792536,0.0004883602,0.0011393548,0.23458515],"genre_scores_gemma":[0.7735488,0.0009496915,0.10658485,0.00076426275,0.00079828943,0.00019845249,0.00069317775,0.0013335522,0.115128994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972409,0.0004934847,0.00015217769,0.0008561624,0.0008929107,0.00036439634],"domain_scores_gemma":[0.9979236,0.00061892637,0.00019955166,0.0003487341,0.0006919349,0.00021735084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014683134,0.0009561058,0.001039166,0.0015772382,0.0013839857,0.0035230485,0.0011978494,0.00090480916,0.019082287],"category_scores_gemma":[0.0051102806,0.000572462,0.0019969305,0.0007624221,0.0034653016,0.0061803893,0.0036535591,0.0034927772,0.006394368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046463672,0.000020385889,0.00020889587,0.00005644722,0.000015731704,0.00013534736,0.00038111475,0.00042867294,0.0017185995,0.9846704,0.0025194313,0.009798436],"study_design_scores_gemma":[0.000021492142,0.000060093225,0.0003944283,0.000034375542,0.000021773021,0.00029668675,0.00019933979,0.007851549,0.0047157723,0.9723316,0.01403747,0.0000354208],"about_ca_topic_score_codex":0.00096048607,"about_ca_topic_score_gemma":0.0007284741,"teacher_disagreement_score":0.019082287,"about_ca_system_score_codex":0.0013954778,"about_ca_system_score_gemma":0.0010149045,"threshold_uncertainty_score":0.063836575},"labels":[],"label_agreement":null},{"id":"W1545257582","doi":"10.1090/s0002-9939-05-08039-1","title":"Extension of a generalized Pexider equation","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":28,"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":"Extension (predicate logic); Mathematics; Calculus (dental); Computer science; Programming language; Medicine","score_opus":0.02349681766570671,"score_gpt":0.26725729932326564,"score_spread":0.24376048165755893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1545257582","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026125425,0.0012710744,0.6169127,0.0029930687,0.0024805674,0.0001676968,0.0009997102,0.00066928647,0.34838036],"genre_scores_gemma":[0.41259852,0.0021882888,0.26266178,0.0022227748,0.001801101,0.0003293381,0.0017023437,0.001421964,0.31507397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992643,0.00016107238,0.000049096667,0.00020288574,0.00022279836,0.00009989763],"domain_scores_gemma":[0.9991511,0.00019855562,0.00005604162,0.00017231605,0.0003589016,0.000063017455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010766402,0.00096093223,0.0006544131,0.0013853492,0.0011364234,0.001739371,0.0015395903,0.0012932996,0.039682664],"category_scores_gemma":[0.0036560406,0.00036632002,0.00200238,0.0009528184,0.0017797388,0.004350688,0.0027756288,0.0027397429,0.0086946655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025966112,0.000018748726,0.00016697097,0.00006719007,0.000010414808,0.0001796843,0.00014181621,0.0026524272,0.00067341496,0.9725513,0.008044871,0.015467046],"study_design_scores_gemma":[0.000043772074,0.000042393156,0.00026676222,0.00006501936,0.000023713688,0.00039133054,0.0000757197,0.047310434,0.001186711,0.85802495,0.09253716,0.000032074644],"about_ca_topic_score_codex":0.0032375383,"about_ca_topic_score_gemma":0.0026378904,"teacher_disagreement_score":0.039682664,"about_ca_system_score_codex":0.0014590118,"about_ca_system_score_gemma":0.0011485683,"threshold_uncertainty_score":0.1327517},"labels":[],"label_agreement":null},{"id":"W1546940848","doi":"10.1090/s0002-9939-02-06528-0","title":"The composition of projections onto closed convex sets in Hilbert space is asymptotically regular","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":37,"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 Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hilbert space; Conjecture; Pure mathematics; Regular polygon; Composition (language); Monotone polygon; Convex set; Projection (relational algebra); Convex analysis; Fixed point; Space (punctuation); Discrete mathematics; Combinatorics; Mathematical analysis; Convex optimization; Computer science; Geometry; Algorithm","score_opus":0.01099603097893961,"score_gpt":0.23352552936967402,"score_spread":0.2225294983907344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1546940848","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51050264,0.00043491708,0.46525386,0.0012347554,0.000109424,0.00006745012,0.00016989087,0.00052807847,0.021699013],"genre_scores_gemma":[0.94803447,0.0003156172,0.04551569,0.00018944716,0.00012528225,0.00008942759,0.00020526968,0.00012801167,0.0053967526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976986,0.0006100597,0.00011819026,0.0006262427,0.000676365,0.0002704819],"domain_scores_gemma":[0.99444515,0.0033575036,0.00051002885,0.0006228644,0.000521104,0.00054341345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020553488,0.0006387931,0.00092326466,0.0009726473,0.0012143921,0.0024964558,0.0008539024,0.000894862,0.0024814515],"category_scores_gemma":[0.009146746,0.00061087636,0.0009584735,0.0007516988,0.0057673594,0.005697646,0.0028296341,0.0027878468,0.00043437307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017898202,0.000047336496,0.001073241,0.000090460235,0.00003824141,0.00028656863,0.00045374339,0.006757956,0.0057270997,0.9756706,0.00058691937,0.009088854],"study_design_scores_gemma":[0.000026064408,0.00005798585,0.00045294967,0.000011437042,0.00001290784,0.000260223,0.000118660704,0.043704063,0.0026724401,0.95164347,0.0010226896,0.000017092625],"about_ca_topic_score_codex":0.00055449863,"about_ca_topic_score_gemma":0.00036647407,"teacher_disagreement_score":0.0024964558,"about_ca_system_score_codex":0.00081861357,"about_ca_system_score_gemma":0.0006316813,"threshold_uncertainty_score":0.010869861},"labels":[],"label_agreement":null},{"id":"W1552816183","doi":"10.1090/s0002-9939-01-05500-9","title":"Inequalities for products of spectral radii","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria; University of Toronto; Dalhousie University","funders":"","keywords":"Inequality; Versa; Mathematics; Computer science; Mathematical analysis","score_opus":0.0469624416623591,"score_gpt":0.31816697883394296,"score_spread":0.2712045371715839,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1552816183","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02217477,0.004677278,0.90703714,0.0010626584,0.0006276199,0.00006162903,0.00033962174,0.00038140875,0.06363788],"genre_scores_gemma":[0.60989803,0.007374679,0.3428851,0.002406652,0.0032439663,0.00058449415,0.00091495545,0.0015351436,0.031157024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9900851,0.0028643375,0.0010063265,0.0021736715,0.002951528,0.0009190283],"domain_scores_gemma":[0.9635225,0.024430154,0.0030023393,0.0033548851,0.0047555356,0.00093450287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009059908,0.002157227,0.0013627601,0.003698464,0.0018937846,0.0059600263,0.0021641622,0.0017529767,0.01372893],"category_scores_gemma":[0.030566152,0.0010393967,0.0022035837,0.0028084032,0.004131009,0.013813724,0.005063043,0.005997424,0.0047353352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055480818,0.000012467402,0.00015807335,0.00014765706,0.000027763952,0.00009206665,0.00021847538,0.0014586466,0.003008264,0.97782826,0.0018640076,0.015128789],"study_design_scores_gemma":[0.000008293243,0.000050154365,0.00031414113,0.00006513226,0.00003601359,0.0003669503,0.000078828605,0.013992661,0.0034146414,0.9712819,0.010347398,0.00004393678],"about_ca_topic_score_codex":0.00050855166,"about_ca_topic_score_gemma":0.00048961694,"teacher_disagreement_score":0.01372893,"about_ca_system_score_codex":0.0017038796,"about_ca_system_score_gemma":0.00067349244,"threshold_uncertainty_score":0.04791391},"labels":[],"label_agreement":null},{"id":"W1553338919","doi":"10.1090/s0002-9939-01-06176-7","title":"Classification of torsion-free genus zero congruence groups","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Congruence (geometry); Torsion (gastropod); Mathematics; Zero (linguistics); Pure mathematics; Genus; Modular design; Combinatorics; Biology; Zoology; Computer science; Geometry; Philosophy","score_opus":0.029641439187335857,"score_gpt":0.27698144679990894,"score_spread":0.24734000761257308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1553338919","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.980558,0.0009438682,0.009186849,0.00055182475,0.000068036126,0.000042863183,0.00010913467,0.00009872941,0.008440608],"genre_scores_gemma":[0.9933227,0.0005818421,0.00285379,0.00005715617,0.00019596472,0.000029320972,0.00040609651,0.00002311883,0.0025300356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994783,0.00006239412,0.000034561137,0.00010122167,0.00014687439,0.00017667236],"domain_scores_gemma":[0.9986626,0.0004619039,0.0003211334,0.000117468466,0.00009799948,0.00033897007],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005965422,0.0010157286,0.0008556079,0.0023641684,0.0015127236,0.0029958752,0.0011825192,0.0010690739,0.002478935],"category_scores_gemma":[0.0031208864,0.00029289158,0.0004796293,0.0015399929,0.0030803839,0.0033690694,0.0021487826,0.0011054439,0.00043449487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00082642946,0.00028392128,0.05693846,0.00043346238,0.00008722888,0.0015231707,0.007949305,0.0037625337,0.030926345,0.7914367,0.0054431898,0.100389384],"study_design_scores_gemma":[0.0001838728,0.00033651927,0.020220056,0.0001128799,0.00009438253,0.0023050823,0.0026179405,0.010038431,0.015616993,0.9318462,0.016564572,0.00006305047],"about_ca_topic_score_codex":0.00040152064,"about_ca_topic_score_gemma":0.00026283078,"teacher_disagreement_score":0.0029958752,"about_ca_system_score_codex":0.000737663,"about_ca_system_score_gemma":0.0006283931,"threshold_uncertainty_score":0.008292854},"labels":[],"label_agreement":null},{"id":"W1555136130","doi":"10.1090/s0002-9939-05-08137-2","title":"The Margulis invariant for parabolic transformations","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Lorentz transformation; Invariant (physics); Pure mathematics; Sign (mathematics); Lemma (botany); Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","score_opus":0.007120782748796341,"score_gpt":0.23753545683252628,"score_spread":0.23041467408372993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1555136130","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21791385,0.0011295909,0.23323955,0.0030737312,0.0017359791,0.0000908422,0.0004410487,0.0006910999,0.54168427],"genre_scores_gemma":[0.77328855,0.00065684266,0.027781913,0.0012137641,0.0009228763,0.00009946573,0.00035461728,0.0006782844,0.1950038],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994855,0.00007364726,0.000026094523,0.00012442083,0.00018404958,0.00010625371],"domain_scores_gemma":[0.9997303,0.00003876428,0.000041653337,0.000054606993,0.00007212621,0.00006246821],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005659803,0.00062571844,0.00037343145,0.0012319208,0.0016395827,0.0020020248,0.0007550012,0.0007539626,0.01189047],"category_scores_gemma":[0.0010360728,0.00027566968,0.0007786582,0.0007296013,0.0026644228,0.003084661,0.0022533648,0.0021634167,0.0032668964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000058921373,0.0000035608239,0.000032262687,0.0000063517487,0.0000013794066,0.000021043743,0.00010048164,0.00009258664,0.0005833964,0.9948514,0.00065334217,0.003648282],"study_design_scores_gemma":[0.000010374521,0.000038919017,0.00025383497,0.000009933274,0.000004229398,0.00012818883,0.00014389268,0.0019441722,0.0020165474,0.9639701,0.03146146,0.000018191622],"about_ca_topic_score_codex":0.00096558477,"about_ca_topic_score_gemma":0.000657927,"teacher_disagreement_score":0.01189047,"about_ca_system_score_codex":0.0014988976,"about_ca_system_score_gemma":0.00064491184,"threshold_uncertainty_score":0.039777577},"labels":[],"label_agreement":null},{"id":"W1555531617","doi":"10.1090/s0002-9939-08-09392-1","title":"Parametric representation and asymptotic starlikeness in ℂⁿ","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Representation (politics); Parametric statistics; Mathematics; Mathematical analysis; Pure mathematics; Statistics; Political science","score_opus":0.04051937810975162,"score_gpt":0.2975814307569243,"score_spread":0.25706205264717263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1555531617","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4373256,0.0007410751,0.47957554,0.0008114158,0.0002269561,0.000059483933,0.00018930566,0.0003950729,0.08067559],"genre_scores_gemma":[0.9435925,0.00034762197,0.03804433,0.00020208118,0.000111299465,0.000058251797,0.00021111261,0.00014210028,0.017290689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894494,0.00020423181,0.000081346654,0.00030262713,0.00032511394,0.00014181642],"domain_scores_gemma":[0.99846387,0.00036982266,0.00021752784,0.00020204327,0.0005443826,0.0002022835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096632465,0.00045439086,0.00039530228,0.0011813146,0.00106427,0.0017189123,0.0007062383,0.0006279405,0.0038023912],"category_scores_gemma":[0.0029894887,0.0002501808,0.0008591265,0.0008163579,0.0029364703,0.004392639,0.0018285373,0.0012815637,0.000579533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017882707,0.000008873096,0.00029878394,0.000025643585,0.0000053027347,0.000097153694,0.0002933183,0.0008018992,0.0013808311,0.9915951,0.0002433506,0.005231875],"study_design_scores_gemma":[0.00000835703,0.00008900251,0.00054932176,0.000023960161,0.000010432002,0.00037474438,0.00035984177,0.012919698,0.0024616474,0.9731309,0.010045393,0.000026812466],"about_ca_topic_score_codex":0.0008754448,"about_ca_topic_score_gemma":0.00050463935,"teacher_disagreement_score":0.0038023912,"about_ca_system_score_codex":0.0011680718,"about_ca_system_score_gemma":0.00042787648,"threshold_uncertainty_score":0.012720287},"labels":[],"label_agreement":null},{"id":"W1556636758","doi":"10.1090/s0002-9939-00-05512-x","title":"Polynomial solutions to Dirichlet problems","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Polynomial; Combinatorics; Mathematics; Dirichlet distribution; Dirichlet problem; Mathematical analysis","score_opus":0.035360918428460425,"score_gpt":0.2800159642720327,"score_spread":0.24465504584357226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1556636758","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04515392,0.004688967,0.6345901,0.008337846,0.0014770201,0.00011727372,0.0011239208,0.0006354375,0.3038755],"genre_scores_gemma":[0.5563591,0.0058286022,0.1554473,0.0016215184,0.0030161978,0.0004176184,0.0024854569,0.0013128401,0.27351138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983302,0.0007137959,0.000065827066,0.00022166352,0.00042831202,0.00024026194],"domain_scores_gemma":[0.9973092,0.0015964729,0.0001441853,0.00026954964,0.00043723153,0.0002432713],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016242826,0.00096163474,0.0012618587,0.0018462806,0.0015587342,0.0037091186,0.0014420486,0.0019000001,0.027406564],"category_scores_gemma":[0.0114593785,0.0006747851,0.0017887392,0.0016841858,0.002531977,0.0032445197,0.0031729455,0.004077013,0.00613004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020183134,0.000015546777,0.00011330208,0.00008256371,0.000011491474,0.00002995794,0.000115309565,0.008577885,0.0002086028,0.9749904,0.007984945,0.00784977],"study_design_scores_gemma":[0.000018623761,0.000008164475,0.00010854213,0.000031914922,0.0000057300676,0.000032575434,0.000061850755,0.07131505,0.00026942664,0.91791165,0.01022323,0.000013203014],"about_ca_topic_score_codex":0.0037246183,"about_ca_topic_score_gemma":0.0037222216,"teacher_disagreement_score":0.027406564,"about_ca_system_score_codex":0.0027641356,"about_ca_system_score_gemma":0.0016411657,"threshold_uncertainty_score":0.0916841},"labels":[],"label_agreement":null},{"id":"W1558338445","doi":"10.1090/s0002-9939-10-10300-1","title":"Zeros of the Eisenstein series 𝐸₂","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Eisenstein series; Series (stratigraphy); Mathematics; Pure mathematics; Geology; Modular form; Paleontology","score_opus":0.012051853002965318,"score_gpt":0.26957567859343323,"score_spread":0.25752382559046794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1558338445","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7405793,0.002103879,0.09412378,0.0029958135,0.0008432901,0.00004805089,0.00023706896,0.00054631656,0.15852244],"genre_scores_gemma":[0.96668875,0.00060734845,0.004551156,0.00018778692,0.0004033487,0.00003903146,0.00013428311,0.00016082531,0.027227417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9993519,0.00014536794,0.000029083263,0.00011957583,0.00018402377,0.00017003501],"domain_scores_gemma":[0.998632,0.00047025914,0.00021526037,0.000103749415,0.0002901132,0.00028861995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009464582,0.0009770632,0.00074718124,0.002037121,0.0013349926,0.0021362607,0.0010292017,0.0007651935,0.012771614],"category_scores_gemma":[0.0052578663,0.00037072433,0.00069744524,0.0007978384,0.002928895,0.0035902134,0.0014556507,0.0017244403,0.0021079227],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000066264685,0.00002909248,0.0006169245,0.000091730886,0.000014336867,0.00024836973,0.0003344134,0.0019226315,0.0021617862,0.9879637,0.0018291852,0.0047215433],"study_design_scores_gemma":[0.00003705558,0.00006839812,0.0011434329,0.00009276002,0.00001978651,0.00043038325,0.0002954085,0.024593499,0.0027744907,0.9655329,0.004956254,0.000055644843],"about_ca_topic_score_codex":0.0011767951,"about_ca_topic_score_gemma":0.0007390949,"teacher_disagreement_score":0.012771614,"about_ca_system_score_codex":0.0012494309,"about_ca_system_score_gemma":0.0006872834,"threshold_uncertainty_score":0.042725265},"labels":[],"label_agreement":null},{"id":"W1558466836","doi":"10.1090/s0002-9939-02-06683-2","title":"Propagation of normality along regular analytic Jordan arcs in analytic functions with values in a complex unital Banach algebra with continuous involution","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","score_opus":0.03053794816215492,"score_gpt":0.2679999915244067,"score_spread":0.23746204336225177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1558466836","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44626525,0.00037043824,0.50835234,0.0015125393,0.0001293543,0.000090953814,0.00022029672,0.0010394763,0.042019345],"genre_scores_gemma":[0.9305742,0.00038290038,0.049834203,0.00017588667,0.00010378016,0.000061834784,0.00020343,0.00039760285,0.018266138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984321,0.0004737877,0.00007456987,0.0002583021,0.00053232873,0.00022877798],"domain_scores_gemma":[0.99230826,0.0033332403,0.00078640436,0.00066679396,0.0022051826,0.0007000805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002157308,0.00069797656,0.0005933973,0.0022849806,0.0016030311,0.0027959915,0.0011452967,0.0007760582,0.0039515053],"category_scores_gemma":[0.013910023,0.0006179072,0.0010780673,0.0012080047,0.0038887796,0.006714442,0.0020445455,0.003004483,0.0008867097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014346075,0.000060408187,0.0014449571,0.000067818684,0.000018771354,0.00038623667,0.0013610411,0.009865035,0.004382738,0.96043146,0.0012357947,0.020602258],"study_design_scores_gemma":[0.000025046435,0.00009079912,0.0008348147,0.000020347388,0.000014916936,0.00029681367,0.0005618927,0.09576313,0.008452927,0.8907095,0.003185822,0.000044039687],"about_ca_topic_score_codex":0.0040456136,"about_ca_topic_score_gemma":0.001727694,"teacher_disagreement_score":0.0040456136,"about_ca_system_score_codex":0.0025915278,"about_ca_system_score_gemma":0.0015919617,"threshold_uncertainty_score":0.018802881},"labels":[],"label_agreement":null},{"id":"W1559355795","doi":"10.1090/s0002-9939-06-08473-5","title":"Toeplitz operators on Bloch-type spaces","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":18,"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":"Toeplitz matrix; Type (biology); Mathematics; Pure mathematics; Algebra over a field; Computer science; Biology; Ecology","score_opus":0.01629551393828652,"score_gpt":0.26451960719076034,"score_spread":0.24822409325247383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559355795","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30970928,0.001129835,0.5371986,0.0014145287,0.0005881654,0.00010626575,0.0008312961,0.0010455565,0.14797647],"genre_scores_gemma":[0.8677888,0.00074620766,0.058753006,0.000383089,0.00033801957,0.00011660724,0.0004888455,0.0006333444,0.070752084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991134,0.00013951951,0.000053207525,0.00018343533,0.00030266977,0.00020779266],"domain_scores_gemma":[0.9984718,0.00036985913,0.00024517288,0.00019216424,0.0004798156,0.00024122182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009852049,0.0010576119,0.0004695504,0.0031934574,0.0017032471,0.004272517,0.00089688034,0.001036967,0.014478621],"category_scores_gemma":[0.003023422,0.0003190028,0.00078207895,0.0020543642,0.0023085217,0.0055745724,0.0018725599,0.0020308527,0.0032137746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017313734,0.000015197817,0.00017801061,0.00002331271,0.000004892429,0.00006786654,0.00022635906,0.0010010721,0.0011778094,0.99003804,0.0012151524,0.006034909],"study_design_scores_gemma":[0.0000101005335,0.000038695343,0.0005009351,0.000023129262,0.0000071788727,0.00017716672,0.00033489885,0.017150646,0.0028370866,0.96868235,0.010205353,0.00003244431],"about_ca_topic_score_codex":0.0021926037,"about_ca_topic_score_gemma":0.0017517129,"teacher_disagreement_score":0.014478621,"about_ca_system_score_codex":0.0017976903,"about_ca_system_score_gemma":0.00064562494,"threshold_uncertainty_score":0.048435807},"labels":[],"label_agreement":null},{"id":"W1559674003","doi":"10.1090/proc/12937","title":"Cohomology of abelian arrangements","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"National Science Foundation","keywords":"Mathematics; Abelian group; Cohomology; Unimodular matrix; Pure mathematics; De Rham cohomology; Complement (music); Arithmetic of abelian varieties; Group cohomology; Algebra over a field; Elementary abelian group; Rank of an abelian group; Equivariant cohomology","score_opus":0.04923126443246475,"score_gpt":0.32402617837174386,"score_spread":0.27479491393927913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1559674003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9078129,0.0007231515,0.023044497,0.0006226181,0.00013876817,0.000028478387,0.00020392562,0.00016699491,0.067258626],"genre_scores_gemma":[0.9892954,0.00020592389,0.0018048821,0.00004050113,0.00013365327,0.000013769543,0.00014146384,0.000029287914,0.008335056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996753,0.000044277134,0.000011643769,0.000055342618,0.000117585565,0.0000958787],"domain_scores_gemma":[0.9997383,0.000046478835,0.00003732835,0.000026015141,0.000054268992,0.00009766891],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021737088,0.0003534206,0.0003821414,0.0019292405,0.00078139926,0.0016133792,0.00050749024,0.0002576603,0.010021345],"category_scores_gemma":[0.00069774315,0.0001467276,0.00019674782,0.0007465962,0.0018187603,0.0026810062,0.0020379422,0.00066205004,0.0007411361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045929817,0.000025258838,0.0018115304,0.000054515236,0.000012504888,0.00029155385,0.00067139906,0.001344649,0.0067517934,0.9753584,0.0011494233,0.012482972],"study_design_scores_gemma":[0.000025193263,0.00006726641,0.005888249,0.000028054023,0.000013968935,0.00088004227,0.0009512913,0.010030788,0.0041270675,0.96447366,0.013480554,0.000033967845],"about_ca_topic_score_codex":0.0005921913,"about_ca_topic_score_gemma":0.00034926823,"teacher_disagreement_score":0.010021345,"about_ca_system_score_codex":0.0006736969,"about_ca_system_score_gemma":0.00022180857,"threshold_uncertainty_score":0.03352481},"labels":[],"label_agreement":null},{"id":"W1561793346","doi":"10.1090/s0002-9939-02-06487-0","title":"Soft almost disjoint families","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Disjoint sets; Cardinality (data modeling); Mathematics; Combinatorics; Invariant (physics); Cardinal number (linguistics); Set (abstract data type); Discrete mathematics; Family of sets; Computer science; Philosophy","score_opus":0.02652544492558715,"score_gpt":0.2804780725487846,"score_spread":0.2539526276231974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1561793346","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26844946,0.0015039485,0.5301857,0.0030938757,0.0006912303,0.00015297133,0.0020333328,0.0012381247,0.19265139],"genre_scores_gemma":[0.8440106,0.0007846033,0.087638214,0.0014605385,0.00050266116,0.00030628758,0.0022038694,0.00059370726,0.062499534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968548,0.0004947688,0.0002735546,0.0007468656,0.0012304529,0.0003995728],"domain_scores_gemma":[0.99429685,0.0022330252,0.00061578286,0.0007443576,0.0014264983,0.0006835536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016815572,0.0009549128,0.00082443224,0.0021792494,0.0030344664,0.003458015,0.0011111965,0.0011825761,0.015196297],"category_scores_gemma":[0.008817791,0.00080531935,0.0018400283,0.0014537208,0.0030062788,0.0073084733,0.0054726526,0.0021883526,0.001896531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008424494,0.000024920528,0.00087928766,0.00012316118,0.000039569586,0.00041995256,0.00063306873,0.0017568663,0.0022860751,0.9705037,0.003382735,0.019866398],"study_design_scores_gemma":[0.000019295785,0.000030482232,0.00059719436,0.000048375947,0.000032223637,0.0004237671,0.00039714342,0.008560592,0.0019868906,0.96985966,0.018008126,0.000036245183],"about_ca_topic_score_codex":0.0013917113,"about_ca_topic_score_gemma":0.0015908162,"teacher_disagreement_score":0.015196297,"about_ca_system_score_codex":0.0024641554,"about_ca_system_score_gemma":0.0011083458,"threshold_uncertainty_score":0.050836682},"labels":[],"label_agreement":null},{"id":"W1564741747","doi":"10.1090/s0002-9939-00-05623-9","title":"Distortion theorems for higher order Schwarzian derivatives of univalent functions","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Schwarzian derivative; Distortion (music); Order (exchange); Mathematics; Pure mathematics; Algebra over a field; Computer science; Economics; Finance","score_opus":0.023106412716976693,"score_gpt":0.2778240086918446,"score_spread":0.25471759597486787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1564741747","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26000386,0.0037251776,0.47354725,0.0042154808,0.0009958787,0.000098500495,0.0009935364,0.0005237449,0.25589663],"genre_scores_gemma":[0.8331943,0.0026117922,0.04749661,0.0006607021,0.00065287575,0.00011522195,0.0006829345,0.00062530936,0.11396025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99957067,0.000081944454,0.000028568886,0.00008051207,0.00016778622,0.000070519374],"domain_scores_gemma":[0.99902487,0.0003783789,0.000127448,0.00009252483,0.00022445817,0.00015225174],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011908681,0.00089995563,0.0005609588,0.0030460982,0.00091720955,0.0020680695,0.001110297,0.00068889523,0.011131588],"category_scores_gemma":[0.0039985324,0.00035493274,0.0014165834,0.0008820296,0.001988426,0.0035045093,0.001787467,0.0020103967,0.0017640659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010241103,0.0000048844313,0.00021915036,0.00002572485,0.000005569,0.000049689996,0.00009314183,0.00097251136,0.000684276,0.9932596,0.0011737968,0.0035013852],"study_design_scores_gemma":[0.000014347012,0.00002439178,0.0009195799,0.00002873336,0.000013055233,0.00022188635,0.00012681549,0.03334766,0.0021313038,0.95294553,0.010197987,0.00002867943],"about_ca_topic_score_codex":0.0035308865,"about_ca_topic_score_gemma":0.0028773902,"teacher_disagreement_score":0.011131588,"about_ca_system_score_codex":0.0036532988,"about_ca_system_score_gemma":0.00074968254,"threshold_uncertainty_score":0.037238836},"labels":[],"label_agreement":null},{"id":"W1565993598","doi":"10.1090/s0002-9939-04-07600-2","title":"A B.A.I. proof of the non-Arens regularity of 𝐿¹(𝒢)","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.020418508027801638,"score_gpt":0.3042787427611292,"score_spread":0.28386023473332755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1565993598","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014224342,0.002641877,0.30628103,0.0153662665,0.00697046,0.00044795068,0.0066705253,0.0042907484,0.6431068],"genre_scores_gemma":[0.44428632,0.004332818,0.21362391,0.013228535,0.003909089,0.0014439559,0.01024131,0.0042575216,0.30467656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986174,0.00021011966,0.000093170616,0.00041297908,0.00044409258,0.00022229175],"domain_scores_gemma":[0.9969265,0.00068280665,0.00013171618,0.00050134363,0.0015600641,0.00019760217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017688957,0.0014898294,0.0007944245,0.0013851012,0.0020737732,0.002892084,0.0018025415,0.0014906661,0.08407639],"category_scores_gemma":[0.0046586995,0.00067535514,0.0036481856,0.00080542674,0.0034462055,0.004246655,0.003766194,0.0063959467,0.0244672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019937156,0.00011953004,0.00065627485,0.0005405302,0.00009921653,0.00047257493,0.00030244724,0.0010227687,0.00457547,0.8514109,0.11774865,0.022852182],"study_design_scores_gemma":[0.000053883414,0.000073289055,0.0018284325,0.00014244152,0.00008314533,0.0005377465,0.00020376444,0.0063057374,0.0054253303,0.8372876,0.14801288,0.000045719004],"about_ca_topic_score_codex":0.004338207,"about_ca_topic_score_gemma":0.0031487783,"teacher_disagreement_score":0.08407639,"about_ca_system_score_codex":0.0023236687,"about_ca_system_score_gemma":0.0011999044,"threshold_uncertainty_score":0.28126353},"labels":[],"label_agreement":null},{"id":"W1566055830","doi":"10.1090/s0002-9939-05-07895-0","title":"A new result for hypergeometric polynomials","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Laguerre polynomials; Mathematics; Classical orthogonal polynomials; Jacobi polynomials; Generalized hypergeometric function; Orthogonal polynomials; Pure mathematics; Hypergeometric function; Wilson polynomials; Algebra over a field; Discrete orthogonal polynomials; Hypergeometric distribution; Generalization; Difference polynomials; Mathematical analysis","score_opus":0.036057581295323465,"score_gpt":0.30964597779707226,"score_spread":0.2735883965017488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1566055830","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0627511,0.010629476,0.65879565,0.0085636815,0.0049549225,0.00009994862,0.0006587607,0.00040556744,0.2531409],"genre_scores_gemma":[0.6775313,0.018786523,0.17482142,0.0076234294,0.015644424,0.00025168102,0.00080698763,0.0006124584,0.10392181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987771,0.00021122945,0.00007658553,0.00030002266,0.00048594075,0.00014922804],"domain_scores_gemma":[0.998108,0.00063362904,0.00019087565,0.00023672721,0.0005862279,0.00024450882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021645916,0.00073813973,0.0007905542,0.0027284059,0.0017278435,0.0029878034,0.0012265438,0.0009784568,0.006816891],"category_scores_gemma":[0.0044720937,0.00033384387,0.0010405282,0.0030759135,0.0023769327,0.008273456,0.002720451,0.003643002,0.0016529261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001057861,0.0000130021135,0.00014131714,0.00008200303,0.000011355212,0.00014185943,0.00015354718,0.00039890435,0.0017936904,0.9821577,0.0033541308,0.01174189],"study_design_scores_gemma":[0.0000079493575,0.000020731077,0.00026622618,0.000029266272,0.00001658777,0.00055235944,0.000058983886,0.0051763407,0.0014433728,0.9547991,0.037609074,0.000020032845],"about_ca_topic_score_codex":0.0006319829,"about_ca_topic_score_gemma":0.00053577,"teacher_disagreement_score":0.006816891,"about_ca_system_score_codex":0.0011762662,"about_ca_system_score_gemma":0.0010787237,"threshold_uncertainty_score":0.022804797},"labels":[],"label_agreement":null},{"id":"W1567688262","doi":"10.1090/s0002-9939-06-08659-x","title":"Holes in the spectrum of functions generating affine systems","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dilation (metric space); Orthonormal basis; Modulo; Expansive; Affine transformation; Mathematics; Fourier transform; Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.026228788268000697,"score_gpt":0.2906031247157917,"score_spread":0.264374336447791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1567688262","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5661785,0.0015296361,0.2452843,0.0022090713,0.00038229657,0.000068063266,0.00058507884,0.00094752456,0.18281554],"genre_scores_gemma":[0.96899647,0.00039609525,0.010539688,0.00023880685,0.00025763694,0.000052029078,0.00026975462,0.0002066969,0.019042907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991722,0.00018089612,0.00004021461,0.00020782056,0.0002221456,0.00017668765],"domain_scores_gemma":[0.9988225,0.0005204661,0.00014857846,0.0001281782,0.00018537132,0.00019480697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008601078,0.00079594145,0.0007034778,0.0021831214,0.0012883671,0.002860708,0.00070131273,0.0007990139,0.011866985],"category_scores_gemma":[0.002913267,0.00034786077,0.00087344216,0.00082586176,0.0027997221,0.0036369562,0.0019098105,0.0014636744,0.0012659577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019460917,0.0000073902934,0.00012514727,0.000019774941,0.0000041517624,0.000056082106,0.00014314568,0.0006241552,0.0004092404,0.994886,0.00067119545,0.0030342967],"study_design_scores_gemma":[0.00002000377,0.000028527262,0.00040405084,0.000018778008,0.000006347731,0.00008138123,0.00012567997,0.007754721,0.0006737412,0.98792356,0.00294941,0.000013816858],"about_ca_topic_score_codex":0.0014309264,"about_ca_topic_score_gemma":0.00089607097,"teacher_disagreement_score":0.011866985,"about_ca_system_score_codex":0.0015536353,"about_ca_system_score_gemma":0.00046275218,"threshold_uncertainty_score":0.039699018},"labels":[],"label_agreement":null},{"id":"W1568050578","doi":"10.1090/s0002-9939-03-07102-8","title":"Real rank and squaring mappings for unital 𝐶*-algebras","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Unital; Rank (graph theory); Mathematics; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.03186769875831724,"score_gpt":0.32467942677207473,"score_spread":0.2928117280137575,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1568050578","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39469618,0.003382978,0.32530025,0.0027818754,0.00078288955,0.000090475216,0.000881692,0.0017817386,0.27030194],"genre_scores_gemma":[0.9151902,0.0011173459,0.029679155,0.00041686758,0.00038663822,0.00007250763,0.0007187846,0.00027400366,0.05214442],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988397,0.00028196344,0.00008546232,0.00023169094,0.00036707055,0.0001940736],"domain_scores_gemma":[0.9983467,0.0005851687,0.00023876931,0.00018451596,0.00038182238,0.00026313766],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011785838,0.0006789957,0.000590787,0.0018967937,0.0014624017,0.004177558,0.00066071126,0.0006405654,0.015393472],"category_scores_gemma":[0.0036886134,0.0003333528,0.0010579106,0.0012476749,0.002451782,0.0061903317,0.0021887713,0.0019217968,0.0029272595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027372034,0.000010594647,0.00013758676,0.00004530592,0.000007273162,0.00006337032,0.00019136527,0.0004738927,0.0005621838,0.9908284,0.0010629841,0.0065895966],"study_design_scores_gemma":[0.0000115181565,0.00003742418,0.00035832738,0.000020891524,0.00001091671,0.00016679343,0.00025737984,0.0053363363,0.0014703342,0.9840815,0.008222002,0.000026524458],"about_ca_topic_score_codex":0.0012743361,"about_ca_topic_score_gemma":0.00097001676,"teacher_disagreement_score":0.015393472,"about_ca_system_score_codex":0.0016115215,"about_ca_system_score_gemma":0.00078720076,"threshold_uncertainty_score":0.051496267},"labels":[],"label_agreement":null},{"id":"W1569303315","doi":"10.1090/s0002-9939-03-07008-4","title":"Recognition of subgroups of direct products of hyperbolic groups","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Engineering and Physical Sciences Research Council","keywords":"Pure mathematics; Mathematics; Biology","score_opus":0.02986794365712604,"score_gpt":0.26355424752147244,"score_spread":0.2336863038643464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569303315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8107312,0.00029080542,0.15325832,0.00052848534,0.00007566846,0.00013412409,0.00019473146,0.00090281095,0.033883814],"genre_scores_gemma":[0.936201,0.00010411158,0.05423591,0.00007017761,0.000021845877,0.000058651913,0.0006608348,0.0000810001,0.008566534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934727,0.0000954022,0.000060370592,0.00017484577,0.00016632395,0.00015575683],"domain_scores_gemma":[0.99883527,0.000389686,0.00012131634,0.0003373548,0.00010964649,0.00020674978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052244635,0.00046069504,0.00044956454,0.00034698457,0.0009464699,0.002125118,0.0009379645,0.0010283584,0.007223097],"category_scores_gemma":[0.0020637342,0.00030254677,0.00054903683,0.00052394095,0.0017581308,0.003283323,0.0028265896,0.0012523391,0.0014229545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013411985,0.00036744564,0.014693461,0.00048507686,0.00006948309,0.0048443773,0.010748627,0.0072788144,0.082974486,0.6744508,0.0067837145,0.1959625],"study_design_scores_gemma":[0.00015720377,0.0004408233,0.004734179,0.00007370304,0.00007082601,0.0043969615,0.004823981,0.025005734,0.112470515,0.79187,0.055853516,0.00010266534],"about_ca_topic_score_codex":0.0004603215,"about_ca_topic_score_gemma":0.00045909756,"teacher_disagreement_score":0.007223097,"about_ca_system_score_codex":0.00041496,"about_ca_system_score_gemma":0.0003225678,"threshold_uncertainty_score":0.024163663},"labels":[],"label_agreement":null},{"id":"W1569537536","doi":"10.1090/s0002-9939-00-05437-x","title":"A co-Frobenius Hopf algebra with a separable Galois extension is finite","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Separable space; Mathematics","score_opus":0.015001006190398883,"score_gpt":0.2678236808128309,"score_spread":0.252822674622432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1569537536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46184394,0.0019373323,0.2593623,0.0037346652,0.0008194837,0.00016729349,0.0020236783,0.0023518258,0.26775947],"genre_scores_gemma":[0.93204415,0.0005538282,0.020431004,0.0004065976,0.0004406419,0.000095964955,0.0010066468,0.000190559,0.044830553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884963,0.00014949586,0.000065807326,0.00034500458,0.0002932295,0.00029669082],"domain_scores_gemma":[0.99817693,0.0005203954,0.00018414762,0.00020694165,0.000523352,0.0003882566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013317512,0.0007598831,0.0006238626,0.0017631516,0.0016290225,0.0027058688,0.0005706365,0.00085197587,0.012169254],"category_scores_gemma":[0.0022608624,0.00029921214,0.0009160697,0.001045874,0.0038968152,0.0056238538,0.0017304718,0.0012617896,0.0027452663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009947058,0.000042106207,0.00068189163,0.00011213436,0.000026257201,0.00025510383,0.0006034977,0.00055783684,0.0031623205,0.9798544,0.0022219562,0.012383064],"study_design_scores_gemma":[0.00003811912,0.00006352359,0.0013050733,0.00005666736,0.000028238308,0.0005392774,0.0005371937,0.0042531667,0.0060524098,0.9599246,0.027148226,0.00005357494],"about_ca_topic_score_codex":0.0027656686,"about_ca_topic_score_gemma":0.001980416,"teacher_disagreement_score":0.012169254,"about_ca_system_score_codex":0.0021477493,"about_ca_system_score_gemma":0.0014190166,"threshold_uncertainty_score":0.04071015},"labels":[],"label_agreement":null},{"id":"W1570787343","doi":"10.1090/s0002-9939-04-07448-9","title":"On finiteness of the set of intermediate subfactors","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Set (abstract data type); Mathematics; Geology; Computer science; Programming language","score_opus":0.028897285720442666,"score_gpt":0.31809451677033307,"score_spread":0.2891972310498904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1570787343","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12250616,0.00259108,0.6155133,0.0027734758,0.0005374813,0.00023233102,0.0031590555,0.0031777394,0.24950944],"genre_scores_gemma":[0.81014913,0.001565901,0.11215863,0.0014281846,0.0005859863,0.00046521236,0.006109735,0.0026252945,0.06491193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99434435,0.00097506115,0.00052180985,0.0018139464,0.0012881706,0.0010567768],"domain_scores_gemma":[0.98974717,0.0050566182,0.0005483066,0.0016801669,0.0022613192,0.00070641167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004406547,0.001654569,0.0016960002,0.004331555,0.005280605,0.0082597975,0.0022887755,0.0018475798,0.023308711],"category_scores_gemma":[0.012980335,0.0016192117,0.0048046564,0.0021074936,0.006768985,0.017714018,0.0064922725,0.00531982,0.0054199398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007556745,0.000032181317,0.00076528394,0.00008450749,0.000027173606,0.00014272919,0.00065922365,0.00056860666,0.00070662476,0.9881097,0.0021163304,0.006712058],"study_design_scores_gemma":[0.000016832253,0.00002411824,0.00040969095,0.00005458869,0.000036081503,0.00013992106,0.00026513563,0.0023779438,0.001626881,0.98600036,0.009021354,0.000027086757],"about_ca_topic_score_codex":0.0055729556,"about_ca_topic_score_gemma":0.005015548,"teacher_disagreement_score":0.023308711,"about_ca_system_score_codex":0.0052096276,"about_ca_system_score_gemma":0.0015953241,"threshold_uncertainty_score":0.07797545},"labels":[],"label_agreement":null},{"id":"W1573613387","doi":"10.1090/s0002-9939-00-05403-4","title":"Universal uniform Eberlein compact spaces","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Kappa; Mathematics; Space (punctuation); Pure mathematics; Omega; Combinatorics; Computer science; Geometry; Physics","score_opus":0.016237085222069545,"score_gpt":0.28371643330873453,"score_spread":0.26747934808666496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1573613387","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49034548,0.0017589014,0.383906,0.0012702596,0.00027074706,0.000082855826,0.00077672524,0.0012542898,0.12033472],"genre_scores_gemma":[0.9311785,0.00040747863,0.040471945,0.00027093783,0.00014056283,0.00007823097,0.0006211824,0.00035240737,0.026478881],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980475,0.00027172046,0.00014594058,0.0006556359,0.0004041105,0.00047502236],"domain_scores_gemma":[0.997022,0.00082018325,0.00038887432,0.00060641265,0.0005826657,0.0005798937],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018587348,0.00082021067,0.00068515143,0.0016508342,0.0018644006,0.0036827982,0.0008969987,0.00096608856,0.009894312],"category_scores_gemma":[0.0068336506,0.00040792176,0.00078793545,0.0010919044,0.003112603,0.010090601,0.004792719,0.0012270918,0.0015054317],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058276895,0.000016946962,0.0006385396,0.000050310602,0.000008300486,0.000117964526,0.0003881097,0.0005249699,0.0014502082,0.98727137,0.0008904973,0.008584516],"study_design_scores_gemma":[0.000030583265,0.00011693078,0.0015319936,0.000080342135,0.000028402099,0.0006214505,0.0010884829,0.009645223,0.008945815,0.9480352,0.02983201,0.000043579857],"about_ca_topic_score_codex":0.0008568358,"about_ca_topic_score_gemma":0.00074813026,"teacher_disagreement_score":0.009894312,"about_ca_system_score_codex":0.0013541767,"about_ca_system_score_gemma":0.00040540294,"threshold_uncertainty_score":0.03309977},"labels":[],"label_agreement":null},{"id":"W1574757579","doi":"10.1090/s0002-9939-00-05545-3","title":"Solution of a functional equation arising in an axiomatization of the utility of binary gambles","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of California, Irvine; Hungarian Scientific Research Fund","keywords":"Binary number; Mathematics; Applied mathematics; Functional equation; Calculus (dental); Mathematical economics; Mathematical analysis; Arithmetic; Differential equation; Medicine","score_opus":0.0611138311893665,"score_gpt":0.29839222836298,"score_spread":0.23727839717361351,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1574757579","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0040295,0.000102393235,0.97384506,0.0029833904,0.0002317939,0.00003693856,0.00029859334,0.00010859031,0.018363722],"genre_scores_gemma":[0.19803362,0.00045482558,0.75706387,0.0016949307,0.00055317784,0.0006262847,0.0010143745,0.0003330283,0.040225916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974165,0.0010722406,0.00018602744,0.0005359228,0.00059843867,0.00019084456],"domain_scores_gemma":[0.99754363,0.0014871387,0.00011625574,0.0003192751,0.00043972355,0.000093836985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034473536,0.0009869284,0.00074159954,0.00078195636,0.0009169731,0.0019677258,0.0016604869,0.002530105,0.015389919],"category_scores_gemma":[0.011008487,0.00050784514,0.0024784082,0.0009435064,0.0020457658,0.005012567,0.0027888983,0.004481925,0.0023198372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005044536,0.00000961987,0.000051400955,0.000027467044,0.000005732323,0.000023371593,0.000054104003,0.0019759804,0.00016741637,0.9913873,0.0019400785,0.0043525645],"study_design_scores_gemma":[0.000015096439,0.000010884223,0.000065686734,0.000018085779,0.0000083257955,0.00004950183,0.000024952995,0.03225233,0.00024528056,0.96129984,0.005999211,0.000010825466],"about_ca_topic_score_codex":0.0017633941,"about_ca_topic_score_gemma":0.0019077548,"teacher_disagreement_score":0.015389919,"about_ca_system_score_codex":0.0017185517,"about_ca_system_score_gemma":0.0020980872,"threshold_uncertainty_score":0.051484406},"labels":[],"label_agreement":null},{"id":"W1575309178","doi":"10.1090/s0002-9939-04-07866-9","title":"Errata to “Hecke algebras of semidirect products”","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.027636798324679565,"score_gpt":0.301253642019907,"score_spread":0.27361684369522743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1575309178","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007993907,0.0041675875,0.0053409226,0.12003303,0.8492584,0.000025713913,0.00057342654,0.00061239966,0.01918913],"genre_scores_gemma":[0.046861902,0.01727119,0.015104696,0.17866352,0.4493276,0.00020633201,0.0033409535,0.0027399734,0.2864839],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99614596,0.00076851813,0.0006689704,0.0005654009,0.0015759256,0.0002752013],"domain_scores_gemma":[0.98489505,0.0030818381,0.0009126953,0.0017091893,0.008932089,0.0004691238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037201124,0.0018448487,0.001544191,0.004100206,0.0040299622,0.004153953,0.003305167,0.004684968,0.024580859],"category_scores_gemma":[0.030615607,0.0011115649,0.0014996114,0.003555601,0.0050119986,0.007869876,0.0021128552,0.009515346,0.016222585],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071746756,0.000017174336,0.00012355005,0.00024087235,0.000020993466,0.00014138281,0.0001599064,0.00005641035,0.00013596522,0.025337487,0.9652807,0.008413664],"study_design_scores_gemma":[0.000064319465,0.000024290457,0.0007394112,0.00032455023,0.00004753755,0.00038654447,0.00018171169,0.0003690435,0.0007595338,0.02998409,0.9670721,0.000046822777],"about_ca_topic_score_codex":0.0058823624,"about_ca_topic_score_gemma":0.0061449753,"teacher_disagreement_score":0.024580859,"about_ca_system_score_codex":0.0031568876,"about_ca_system_score_gemma":0.0029417719,"threshold_uncertainty_score":0.082231164},"labels":[],"label_agreement":null},{"id":"W1576323589","doi":"10.1090/s0002-9939-00-05591-x","title":"Elementary estimates for a certain typeof Soto-Andrade sum","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ramanujan's sum; Riemann hypothesis; Type (biology); Mathematics; Pure mathematics; Mathematical analysis; Geology; Paleontology","score_opus":0.03486932977069772,"score_gpt":0.34159548568384884,"score_spread":0.3067261559131511,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1576323589","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21209781,0.002528213,0.6457731,0.0015900338,0.00096571667,0.00012470782,0.00038490913,0.0007711865,0.13576436],"genre_scores_gemma":[0.8577146,0.0034317395,0.10454451,0.0005419526,0.0013969246,0.00015527174,0.0005012895,0.0005529667,0.031160882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892944,0.00017021471,0.000061779465,0.00018528175,0.00048030936,0.000173028],"domain_scores_gemma":[0.9970546,0.0012164555,0.00029513557,0.0004974814,0.00050140906,0.00043491976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018266982,0.0016324354,0.0010859873,0.0059851394,0.0020180966,0.0024094481,0.002139118,0.0009808751,0.009754576],"category_scores_gemma":[0.00550591,0.0004889593,0.0019501203,0.0011166794,0.0029973655,0.00738412,0.0041319723,0.0052285907,0.0012138439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002631942,0.000021126398,0.0008515172,0.00010518645,0.000021364238,0.00016159112,0.00017951804,0.0018769118,0.0040504583,0.98402035,0.0009930009,0.007692634],"study_design_scores_gemma":[0.0000069239004,0.000055023156,0.0020783946,0.00005798903,0.00008286235,0.0007199817,0.00015905741,0.021672124,0.007768994,0.95633304,0.010995962,0.00006964406],"about_ca_topic_score_codex":0.00048586645,"about_ca_topic_score_gemma":0.0006104876,"teacher_disagreement_score":0.009754576,"about_ca_system_score_codex":0.0009951333,"about_ca_system_score_gemma":0.0003893243,"threshold_uncertainty_score":0.03263229},"labels":[],"label_agreement":null},{"id":"W1577194420","doi":"10.1090/s0002-9939-08-09262-9","title":"Counting cusps of subgroups of $\\mathrm {PSL}_2(\\mathcal {O}_K)$","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"PSL; Quotient; Connection (principal bundle); Conjecture; Combinatorics; Mathematics; Field (mathematics); Quadratic field; Class number; Algebraic number field; Ring of integers; Physics; Quadratic equation; Pure mathematics; Geometry; Quadratic function","score_opus":0.02555863654394802,"score_gpt":0.2694290755759597,"score_spread":0.24387043903201167,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1577194420","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9409573,0.0005242455,0.040205818,0.0005980078,0.00008365981,0.000049370075,0.00026624207,0.00018219075,0.01713322],"genre_scores_gemma":[0.9850323,0.00018742267,0.010898914,0.00006997312,0.00009844451,0.00003697444,0.0003923699,0.00003760502,0.0032461497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993068,0.00008984307,0.00005469334,0.00020105048,0.00017032839,0.0001772186],"domain_scores_gemma":[0.9974753,0.0011129412,0.00043595894,0.00035270874,0.00020442595,0.00041872176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084856775,0.0005565974,0.00078100094,0.0018615685,0.0015125767,0.002789348,0.001307236,0.00092512433,0.004479113],"category_scores_gemma":[0.005794011,0.0004595137,0.0006686979,0.00094671757,0.0028218895,0.003927658,0.0025269026,0.0011784666,0.00043843326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001098842,0.00015393183,0.06299322,0.0005563493,0.00007190804,0.0010974522,0.004142168,0.0061922353,0.026397843,0.8142223,0.0064703785,0.0766034],"study_design_scores_gemma":[0.000093757735,0.00020988152,0.013147535,0.000115894414,0.00010301801,0.001779037,0.0013720626,0.04039647,0.018824471,0.91414213,0.009746083,0.00006968021],"about_ca_topic_score_codex":0.0010036578,"about_ca_topic_score_gemma":0.0009077953,"teacher_disagreement_score":0.004479113,"about_ca_system_score_codex":0.0010064725,"about_ca_system_score_gemma":0.00041071873,"threshold_uncertainty_score":0.014984131},"labels":[],"label_agreement":null},{"id":"W1578859279","doi":"10.1090/proc/12590","title":"The continuous wavelet transform and window functions","year":2015,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Continuous wavelet transform; Window (computing); Wavelet transform; Wavelet; Harmonic wavelet transform; Computer science; Mathematics; Discrete wavelet transform; Artificial intelligence; World Wide Web","score_opus":0.022427984022223717,"score_gpt":0.2657901835230062,"score_spread":0.2433621995007825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1578859279","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0028224231,0.0008359848,0.98760694,0.00027928135,0.0004223132,0.000032890053,0.00031968538,0.00050048117,0.0071800705],"genre_scores_gemma":[0.0647694,0.004395406,0.9031562,0.00039548374,0.0007970572,0.00023066504,0.0012833419,0.0013649616,0.023607427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991703,0.00015547105,0.000078244964,0.00021578904,0.0002992322,0.000080978716],"domain_scores_gemma":[0.99903935,0.00034697578,0.000099150195,0.00020066304,0.00024396631,0.00006975162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016159005,0.0010889029,0.00059922336,0.0018983344,0.00040871624,0.0032965888,0.0011493345,0.0012598549,0.008986936],"category_scores_gemma":[0.0053479513,0.000492351,0.0010092999,0.0031186205,0.0013823478,0.0036844274,0.0014757827,0.0024547928,0.006731184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015865247,0.000044572207,0.00045902276,0.00032168688,0.000041936935,0.00043498707,0.00035299105,0.0114954775,0.022578768,0.70213616,0.020309987,0.24166574],"study_design_scores_gemma":[0.000054354507,0.00016846217,0.001762401,0.0001751457,0.000075542965,0.0011596618,0.00029795675,0.24334478,0.0309172,0.44526517,0.27665532,0.00012396851],"about_ca_topic_score_codex":0.0015522039,"about_ca_topic_score_gemma":0.0007723847,"teacher_disagreement_score":0.008986936,"about_ca_system_score_codex":0.00055943464,"about_ca_system_score_gemma":0.00070588675,"threshold_uncertainty_score":0.030064344},"labels":[],"label_agreement":null},{"id":"W1579311652","doi":"10.1090/proc/12529","title":"Critical sets of proper holomorphic mappings","year":2015,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hypersurface; Holomorphic function; Bounded function; Mathematics; Locus (genetics); Boundary (topology); Identity theorem; Pure mathematics; Mathematical analysis; Combinatorics","score_opus":0.0582056581336213,"score_gpt":0.33090459159590374,"score_spread":0.27269893346228247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1579311652","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8453794,0.0019070011,0.09835321,0.0010976184,0.00013949104,0.00006944503,0.00030532392,0.00012054882,0.05262791],"genre_scores_gemma":[0.98041254,0.00060488697,0.011343282,0.00012053046,0.00012824529,0.00006826064,0.000388497,0.000060579827,0.006873257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993266,0.00013671265,0.000039037343,0.0001476282,0.0002320069,0.000118002354],"domain_scores_gemma":[0.99804664,0.0008563191,0.0003264171,0.00012488496,0.00030384504,0.00034186384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010025601,0.00070434023,0.000872963,0.0035035666,0.0018937998,0.0030346627,0.0007502117,0.0010970321,0.0034294948],"category_scores_gemma":[0.006179581,0.00064230955,0.0006812474,0.00055914256,0.0034291917,0.0026975574,0.003500044,0.001550173,0.0002983971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068060086,0.000016915454,0.001264604,0.00007150439,0.00001866063,0.00027943274,0.00047535988,0.003164284,0.0034848442,0.98680216,0.00083198596,0.0035221719],"study_design_scores_gemma":[0.00006139802,0.000055313347,0.0025758778,0.00010290161,0.000023510234,0.0005533786,0.00064243376,0.04218574,0.003936296,0.94431174,0.0055185393,0.000032907654],"about_ca_topic_score_codex":0.0012281378,"about_ca_topic_score_gemma":0.0007222043,"teacher_disagreement_score":0.0035035666,"about_ca_system_score_codex":0.0018652333,"about_ca_system_score_gemma":0.0004925482,"threshold_uncertainty_score":0.013533294},"labels":[],"label_agreement":null},{"id":"W158371773","doi":"10.1090/s0002-9939-04-07159-x","title":"Local existence of 𝒦-sets, projective tensor products, and Arens regularity for 𝒜(ℰ₁+…+ℰ_{𝓃})","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Projective test; Tensor (intrinsic definition); Pure mathematics; Mathematics; Tensor product; Algebra over a field","score_opus":0.02544315662653219,"score_gpt":0.2971889224798986,"score_spread":0.2717457658533664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W158371773","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41389886,0.0014101543,0.3614039,0.0033142802,0.0004832158,0.00011683701,0.0014934315,0.0010964534,0.21678293],"genre_scores_gemma":[0.88557273,0.0006529105,0.044137236,0.0005683623,0.0005177639,0.00018138807,0.0021303662,0.0007315407,0.065507725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869496,0.00024593942,0.000088544024,0.00043663854,0.0002843449,0.00024958976],"domain_scores_gemma":[0.9967733,0.0012401132,0.0004029162,0.0003437895,0.0007238851,0.0005159172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015235419,0.0008789472,0.0009426205,0.0026528274,0.0029405835,0.0040437523,0.0014322426,0.0011467444,0.017520191],"category_scores_gemma":[0.0050828336,0.0007882779,0.0020797155,0.0010097928,0.0039642937,0.0072028935,0.003261586,0.0035000942,0.0024419262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035189827,0.000012877767,0.0004054578,0.00003985792,0.00001333161,0.000060002116,0.00018121784,0.0007344007,0.00058750703,0.99304694,0.0023603975,0.0025227494],"study_design_scores_gemma":[0.000013340562,0.000024700974,0.00092862966,0.000032576194,0.000022003995,0.00015310683,0.0002750501,0.0078061097,0.0011459207,0.9844322,0.005141436,0.000024945566],"about_ca_topic_score_codex":0.002604789,"about_ca_topic_score_gemma":0.0027977761,"teacher_disagreement_score":0.017520191,"about_ca_system_score_codex":0.0022410802,"about_ca_system_score_gemma":0.00070926204,"threshold_uncertainty_score":0.058610857},"labels":[],"label_agreement":null},{"id":"W1584915525","doi":"10.1090/s0002-9939-03-07001-1","title":"Renorming of 𝐶(𝐾) spaces","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Dual (grammatical number); Space (punctuation); Norm (philosophy); Mathematics; Dual space; Pure mathematics; Combinatorics; Mathematical analysis; Computer science; Art; Political science; Law","score_opus":0.020000337286779524,"score_gpt":0.2940922395342945,"score_spread":0.27409190224751495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1584915525","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.057927758,0.0005964592,0.86255336,0.00066533964,0.00078209967,0.00019423204,0.0009737403,0.0052295323,0.071077526],"genre_scores_gemma":[0.4392012,0.0008075946,0.42243344,0.0005913122,0.00042325442,0.00047830463,0.0035557586,0.004383753,0.12812534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99677926,0.0006292956,0.00031753065,0.0009285382,0.0009380797,0.00040732222],"domain_scores_gemma":[0.99650925,0.0007057528,0.000233271,0.0011702022,0.0011330702,0.0002484718],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002253366,0.00088295207,0.0005923722,0.0014634522,0.0015478551,0.0038682094,0.0016476021,0.0008132081,0.022457225],"category_scores_gemma":[0.0066948836,0.0005616958,0.0015083388,0.0012643865,0.0024114202,0.008168857,0.005668169,0.001926896,0.0070523266],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014812758,0.00006149489,0.0006720248,0.00014872251,0.000036170157,0.00029977734,0.0013480047,0.0025965064,0.0058891764,0.8886076,0.010957173,0.089235045],"study_design_scores_gemma":[0.000049078368,0.00014401952,0.00057471276,0.00008807498,0.00005483192,0.0005523202,0.0011972315,0.020694248,0.03403655,0.6955701,0.24695997,0.00007889188],"about_ca_topic_score_codex":0.0014929724,"about_ca_topic_score_gemma":0.0019847825,"teacher_disagreement_score":0.022457225,"about_ca_system_score_codex":0.0014475922,"about_ca_system_score_gemma":0.00065154606,"threshold_uncertainty_score":0.07512689},"labels":[],"label_agreement":null},{"id":"W1586720917","doi":"10.1090/s0002-9939-01-05984-6","title":"The action of a semisimple Lie group on its maximal compact subgroup","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centralizer and normalizer; Mathematics; Maximal torus; Ideal (ethics); Action (physics); Semigroup; Pure mathematics; Center (category theory); Group (periodic table); Lie group; Normal subgroup; Combinatorics; Discrete mathematics; Lie algebra; Fundamental representation; Physics; Crystallography; Chemistry","score_opus":0.05177200671181193,"score_gpt":0.3329448238491481,"score_spread":0.28117281713733616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1586720917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8320489,0.0005217373,0.09165451,0.0008967309,0.00022904342,0.000056353805,0.00018816284,0.00041892836,0.07398558],"genre_scores_gemma":[0.97810066,0.00018989293,0.009647404,0.000081274884,0.000113545524,0.000025493238,0.00013873162,0.000067063454,0.011635936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951184,0.00008694498,0.000027682501,0.000116094416,0.00013169166,0.00012577257],"domain_scores_gemma":[0.9996394,0.0000793958,0.00007149961,0.00004302979,0.000054690157,0.00011199838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054712035,0.0005562858,0.00042182757,0.0007604999,0.0009663786,0.001402465,0.00047858775,0.00045766064,0.006368858],"category_scores_gemma":[0.00072111696,0.00017551883,0.0007176758,0.00026368015,0.002357826,0.0024571607,0.0010347305,0.00083908404,0.001483514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009673768,0.000036651083,0.00057068514,0.00006221901,0.000010955519,0.00028190462,0.0013366904,0.00092781906,0.009612763,0.9800757,0.0006794375,0.0063083065],"study_design_scores_gemma":[0.000032780088,0.000167384,0.0011568202,0.000043782853,0.000018240307,0.00048178528,0.00072407804,0.008121696,0.016721066,0.9618631,0.01062506,0.00004418482],"about_ca_topic_score_codex":0.0007356405,"about_ca_topic_score_gemma":0.00038922616,"teacher_disagreement_score":0.006368858,"about_ca_system_score_codex":0.0007821442,"about_ca_system_score_gemma":0.00063052855,"threshold_uncertainty_score":0.021305919},"labels":[],"label_agreement":null},{"id":"W1588188548","doi":"10.1090/s0002-9939-00-05440-x","title":"A classification of prime segments in simple artinian rings","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Simple (philosophy); Prime (order theory); Mathematics; Semisimple module; Artinian ring; Pure mathematics; Computer science; Algebra over a field; Combinatorics; Ring (chemistry); Noncommutative ring; Chemistry; Philosophy","score_opus":0.027812330163107184,"score_gpt":0.2888394975566491,"score_spread":0.2610271673935419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1588188548","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72137105,0.002380867,0.065358125,0.00061116455,0.0002302914,0.000115689945,0.0009962559,0.0006852314,0.20825139],"genre_scores_gemma":[0.9375254,0.0012300242,0.017199365,0.00011955367,0.0002606222,0.0000554785,0.0013798955,0.00015218262,0.042077374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960977,0.0000727944,0.000030786836,0.000085952015,0.00009787565,0.00010288649],"domain_scores_gemma":[0.9992749,0.00024058473,0.00014440392,0.00009962108,0.00012060936,0.00011999349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051517284,0.00042393748,0.000478124,0.0020797134,0.0009092812,0.0026673183,0.0004606083,0.00046217514,0.012122854],"category_scores_gemma":[0.0012088249,0.00034078327,0.00044733845,0.0017281865,0.0018801669,0.0034033062,0.0009190325,0.0008552305,0.0028685331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022142325,0.00003809956,0.0022668992,0.00012944185,0.000011818787,0.00016881418,0.001041783,0.00082160434,0.0050270436,0.93760276,0.0037966862,0.048873633],"study_design_scores_gemma":[0.00008600924,0.0005361472,0.015154396,0.0001268649,0.00007276927,0.0010722061,0.0013893545,0.010713373,0.010710533,0.83647335,0.123582184,0.00008273976],"about_ca_topic_score_codex":0.00076132617,"about_ca_topic_score_gemma":0.00046914953,"teacher_disagreement_score":0.012122854,"about_ca_system_score_codex":0.0008963131,"about_ca_system_score_gemma":0.0004045883,"threshold_uncertainty_score":0.04055494},"labels":[],"label_agreement":null},{"id":"W1590105155","doi":"10.1090/s0002-9939-06-08481-4","title":"When are Fredholm triples operator homotopic?","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fredholm operator; Homotopy; Type (biology); Equivalence (formal languages); Mathematics; Algorithm; Computer science; Algebra over a field; Discrete mathematics; Pure mathematics; Compact operator; Programming language","score_opus":0.02475180698568132,"score_gpt":0.3026154188604389,"score_spread":0.2778636118747576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1590105155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6173341,0.0007224132,0.16715151,0.0032430794,0.0005270417,0.00008405716,0.00019992545,0.0003749875,0.2103628],"genre_scores_gemma":[0.9727375,0.00028267142,0.010126677,0.00041841797,0.00020492739,0.000065571105,0.0001343065,0.000087832486,0.015942108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985734,0.00023736284,0.00009050812,0.00036461346,0.0003820661,0.00035195614],"domain_scores_gemma":[0.99822086,0.0006815881,0.00017984823,0.00027145888,0.00036203995,0.00028433622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018354973,0.0004060792,0.0005629033,0.0015158252,0.0023343628,0.003118656,0.0006900218,0.0012251659,0.009443683],"category_scores_gemma":[0.0041854805,0.00036992045,0.00080247805,0.0007901099,0.0051812734,0.008115445,0.0025850576,0.0021227014,0.0007721036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026434916,0.000010884175,0.0002428581,0.000013106103,0.0000037492434,0.00013105736,0.0005669969,0.00013802736,0.0006301057,0.9946976,0.00042835006,0.003110854],"study_design_scores_gemma":[0.000011962605,0.000024202072,0.00041335056,0.000014566704,0.000008136049,0.000159398,0.00089507893,0.0014204469,0.0013518324,0.9921366,0.0035520168,0.00001237907],"about_ca_topic_score_codex":0.0013614927,"about_ca_topic_score_gemma":0.0011028007,"teacher_disagreement_score":0.009443683,"about_ca_system_score_codex":0.0013882483,"about_ca_system_score_gemma":0.0006917472,"threshold_uncertainty_score":0.03159225},"labels":[],"label_agreement":null},{"id":"W1591280703","doi":"10.1090/s0002-9939-02-06680-7","title":"Operator weak amenability of the Fourier algebra","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Algebra over a field; Operator (biology); Fourier transform; Mathematics; Operator algebra; Pure mathematics; Mathematical analysis; Chemistry","score_opus":0.03491878546506195,"score_gpt":0.30685042391186873,"score_spread":0.2719316384468068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1591280703","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27911833,0.0011260691,0.34629032,0.0036012603,0.00091538904,0.00008731343,0.00055246527,0.0011204869,0.3671883],"genre_scores_gemma":[0.91837376,0.0005607725,0.018675338,0.0006286631,0.00071480667,0.00009212649,0.00031335,0.00032707962,0.06031406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988907,0.00019636455,0.000047404712,0.00026540164,0.00035616048,0.00024403565],"domain_scores_gemma":[0.9989845,0.0002888651,0.00011124152,0.0001530601,0.00025742492,0.0002048878],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010386404,0.000714641,0.00061889447,0.0017950184,0.0017561193,0.002691508,0.0007886979,0.0007166308,0.020607159],"category_scores_gemma":[0.002275838,0.00031305128,0.0010872377,0.000619538,0.0029264006,0.0053084325,0.0039716396,0.0027690032,0.0028236653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014572874,0.0000102394215,0.000103556515,0.000019680896,0.000004949252,0.000059333976,0.00014893193,0.00019934731,0.0006485777,0.9953361,0.0007969342,0.0026578754],"study_design_scores_gemma":[0.000008168206,0.000022907427,0.0001973327,0.00001031375,0.000006365477,0.00013053934,0.00013415699,0.0027856717,0.000961428,0.9903634,0.0053684833,0.000011084831],"about_ca_topic_score_codex":0.0011939199,"about_ca_topic_score_gemma":0.0007125699,"teacher_disagreement_score":0.020607159,"about_ca_system_score_codex":0.0011696985,"about_ca_system_score_gemma":0.0006334495,"threshold_uncertainty_score":0.06893778},"labels":[],"label_agreement":null},{"id":"W1592382357","doi":"10.1090/s0002-9939-01-06047-6","title":"Generalized little 𝑞-Jacobi polynomials as eigensolutions of higher-order 𝑞-difference operators","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Russian Foundation for Basic Research; Centre de Recherches Mathématiques","keywords":"Jacobi polynomials; Orthogonal polynomials; Wilson polynomials; Orthogonality; Mathematics; Gegenbauer polynomials; Order (exchange); Classical orthogonal polynomials; Difference polynomials; Discrete orthogonal polynomials; Measure (data warehouse); Polynomial; Operator (biology); Hahn polynomials; Combinatorics; Macdonald polynomials; Pure mathematics; Discrete mathematics; Mathematical analysis; Chemistry; Geometry","score_opus":0.03296878672591883,"score_gpt":0.3096741774070013,"score_spread":0.27670539068108246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1592382357","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15057595,0.0010263941,0.7143284,0.0018189463,0.0014693053,0.0000950616,0.0003122168,0.0005713332,0.12980238],"genre_scores_gemma":[0.7689405,0.0009844807,0.11813781,0.0007507272,0.0005569001,0.00012998664,0.00030758377,0.0007476,0.10944443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964917,0.00007806359,0.000013392168,0.00005384469,0.00012660425,0.00007900366],"domain_scores_gemma":[0.9995834,0.00011058122,0.000046459987,0.00006899812,0.0001132121,0.000077386096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006741353,0.00081721257,0.00044964146,0.0008975805,0.00085235306,0.0019459086,0.0010655147,0.00090104743,0.012596515],"category_scores_gemma":[0.0015611715,0.00028673242,0.0010049763,0.0007402385,0.0016897524,0.0022556665,0.0012454274,0.0017449029,0.0030273052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024717629,0.00001765782,0.00012573099,0.000040898252,0.0000072974435,0.00007496422,0.00020071435,0.0062895874,0.0021153726,0.9819725,0.0018288546,0.0073017254],"study_design_scores_gemma":[0.000014290914,0.000023011999,0.00017630146,0.000018504437,0.0000053755857,0.00011137023,0.00012728332,0.0829658,0.0019345394,0.9071814,0.0074104215,0.00003168275],"about_ca_topic_score_codex":0.0014719793,"about_ca_topic_score_gemma":0.0013624253,"teacher_disagreement_score":0.012596515,"about_ca_system_score_codex":0.0009888564,"about_ca_system_score_gemma":0.00069547934,"threshold_uncertainty_score":0.04213953},"labels":[],"label_agreement":null},{"id":"W1593472813","doi":"10.1090/s0002-9939-00-05622-7","title":"Operator semigroups with quasinilpotent commutators","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Dalhousie University","funders":"","keywords":"Mathematics; Operator (biology); Pure mathematics; Algebra over a field; Chemistry","score_opus":0.012831902770364301,"score_gpt":0.26092546704338315,"score_spread":0.24809356427301885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1593472813","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13872808,0.0006373206,0.7088247,0.001142087,0.0009109003,0.00013545873,0.00093297404,0.0020745294,0.14661393],"genre_scores_gemma":[0.81538606,0.0006091169,0.11453117,0.0005776184,0.00061749836,0.00034859392,0.0011659026,0.0005310991,0.066232994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972365,0.0007706512,0.00030310574,0.0006745248,0.0006713282,0.00034381906],"domain_scores_gemma":[0.99678975,0.0011733089,0.00034052198,0.0004806299,0.000899006,0.00031662354],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024436738,0.0006326791,0.00049012614,0.001134425,0.0012794117,0.0034009507,0.00084016455,0.0005833421,0.014853353],"category_scores_gemma":[0.0038240748,0.0004893498,0.001326009,0.0008140811,0.0024881908,0.004515169,0.0019138933,0.0012789164,0.003187858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005976523,0.000024625242,0.00015764264,0.000058855883,0.000008074432,0.00015028144,0.0006227198,0.00052314886,0.0026043893,0.9879677,0.0016899256,0.0061328365],"study_design_scores_gemma":[0.00004436807,0.000073192525,0.00028126736,0.000027208187,0.00001867197,0.000290126,0.00030695592,0.0129710995,0.0048154085,0.96216106,0.018974701,0.000035988418],"about_ca_topic_score_codex":0.0010445671,"about_ca_topic_score_gemma":0.0010107409,"teacher_disagreement_score":0.014853353,"about_ca_system_score_codex":0.0013302598,"about_ca_system_score_gemma":0.00096024026,"threshold_uncertainty_score":0.049689412},"labels":[],"label_agreement":null},{"id":"W1593897756","doi":"10.1090/s0002-9939-03-07238-1","title":"The energy of signed measures","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Measure (data warehouse); Variation (astronomy); Energy (signal processing); Dimension (graph theory); Mathematics; Hausdorff measure; Hausdorff dimension; Pure mathematics; Statistics; Computer science; Physics; Data mining","score_opus":0.02048535977799057,"score_gpt":0.26622013858340365,"score_spread":0.24573477880541308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1593897756","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2578288,0.008368309,0.64497393,0.004052311,0.00091169524,0.000041645184,0.00041529155,0.00018371736,0.08322436],"genre_scores_gemma":[0.95469314,0.0027333847,0.030530497,0.00051276654,0.00066306506,0.000070700626,0.00018744604,0.000121869634,0.010487041],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986695,0.00029903118,0.0000921503,0.0002237742,0.00055948243,0.00015604596],"domain_scores_gemma":[0.99605006,0.0020552652,0.00052095496,0.0005259389,0.0005170118,0.00033080074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014230452,0.0005215535,0.0007000213,0.002507038,0.0009410725,0.0037706564,0.0008879691,0.0012914859,0.003319265],"category_scores_gemma":[0.009098307,0.0003027075,0.0007344731,0.0014441768,0.0037862922,0.0063434043,0.0031730945,0.0017648822,0.00048248027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009402051,0.000004722817,0.0001742608,0.00003170533,0.00000925512,0.000039374434,0.00005686966,0.0018511846,0.0010819052,0.99163556,0.00032070454,0.0047851354],"study_design_scores_gemma":[0.000003637164,0.000018725206,0.000293307,0.000026797254,0.0000059652184,0.00015968388,0.000046639736,0.012633567,0.0007697006,0.9815781,0.0044467207,0.00001709557],"about_ca_topic_score_codex":0.00024560775,"about_ca_topic_score_gemma":0.00014963922,"teacher_disagreement_score":0.0037706564,"about_ca_system_score_codex":0.0009317763,"about_ca_system_score_gemma":0.0004048416,"threshold_uncertainty_score":0.011104047},"labels":[],"label_agreement":null},{"id":"W1595900220","doi":"10.1090/s0002-9939-05-08205-5","title":"Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Biology","score_opus":0.034853746639225566,"score_gpt":0.3351841729460323,"score_spread":0.30033042630680673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1595900220","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17722958,0.0069098733,0.59794164,0.009569944,0.0014365338,0.00014103469,0.00089704536,0.002293466,0.20358084],"genre_scores_gemma":[0.9093586,0.002736416,0.046017863,0.0012398841,0.0019220508,0.00027268985,0.0009815239,0.0010972529,0.036373675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.991903,0.0020790899,0.00035822234,0.0013585149,0.0027531332,0.0015480586],"domain_scores_gemma":[0.97946155,0.01324743,0.0009703596,0.0026384885,0.0018581301,0.0018240111],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0073553007,0.0021918933,0.002756229,0.0045301365,0.0041672196,0.00870821,0.003762433,0.002458587,0.018008128],"category_scores_gemma":[0.03116725,0.001159165,0.0022854013,0.002366618,0.0065778894,0.022014806,0.008912272,0.007537179,0.0048729293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017801736,0.00005138829,0.0006928071,0.00015023697,0.00003197351,0.000079287565,0.0003955136,0.0027996115,0.0006541122,0.9802248,0.003445245,0.011296959],"study_design_scores_gemma":[0.000013308849,0.000039585375,0.00027977166,0.000057705303,0.00003477021,0.00008087911,0.00012606484,0.016040405,0.0016349413,0.9777959,0.0038642911,0.000032227894],"about_ca_topic_score_codex":0.0015012352,"about_ca_topic_score_gemma":0.0017599737,"teacher_disagreement_score":0.018008128,"about_ca_system_score_codex":0.0046423483,"about_ca_system_score_gemma":0.0018984736,"threshold_uncertainty_score":0.06024325},"labels":[],"label_agreement":null},{"id":"W1596088664","doi":"10.1090/s0002-9939-05-07841-x","title":"A general functional equation and its stability","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Banach space; Bounded function; Mathematics; Scalar (mathematics); Polynomial; BETA (programming language); Combinatorics; Lebesgue measure; Lebesgue integration; Mathematical analysis; Geometry","score_opus":0.06571803089908661,"score_gpt":0.2912306393051762,"score_spread":0.22551260840608955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1596088664","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09854486,0.0033287157,0.52631086,0.016754033,0.000761453,0.000077986835,0.0012398857,0.0007813115,0.35220087],"genre_scores_gemma":[0.82058233,0.0018052603,0.045257103,0.0019099314,0.0008367069,0.0002324496,0.0010072694,0.00051341194,0.12785566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989139,0.00023219148,0.00005622165,0.0003569857,0.00026621492,0.0001744459],"domain_scores_gemma":[0.9980433,0.00093933207,0.00013252246,0.00015027491,0.0006226133,0.00011198637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019874119,0.0007992804,0.000852079,0.0017556286,0.0017955842,0.0023356725,0.0013294365,0.0020923435,0.019479869],"category_scores_gemma":[0.007051355,0.00040849554,0.0018102997,0.0011685059,0.002550916,0.0049764817,0.002619999,0.0027166826,0.0027798025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010884429,0.0000071729714,0.0001352265,0.00002375304,0.000009572625,0.000046509518,0.000114460505,0.0019653933,0.00023014784,0.9908634,0.00301997,0.0035734917],"study_design_scores_gemma":[0.000009404822,0.0000067446317,0.00010045146,0.000012729627,0.000006150863,0.000047553105,0.00004280753,0.022832539,0.00012527488,0.97201896,0.004789651,0.000007808442],"about_ca_topic_score_codex":0.0058161947,"about_ca_topic_score_gemma":0.0028407127,"teacher_disagreement_score":0.019479869,"about_ca_system_score_codex":0.0032961064,"about_ca_system_score_gemma":0.0015476311,"threshold_uncertainty_score":0.06516665},"labels":[],"label_agreement":null},{"id":"W1596462025","doi":"10.1090/s0002-9939-00-05299-0","title":"Open subgroups of 𝐺 and almost periodic functionals on 𝐴(𝐺)","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics","score_opus":0.03512550685681553,"score_gpt":0.33225278900079747,"score_spread":0.29712728214398193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1596462025","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5519564,0.0015600851,0.16157664,0.002995436,0.00087884103,0.00011308151,0.0008908293,0.00096594734,0.27906266],"genre_scores_gemma":[0.88641584,0.000749951,0.019867592,0.00052565866,0.00059774116,0.00018491816,0.0010095472,0.00037823842,0.09027051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992823,0.00011931053,0.000042585765,0.00016193566,0.00021801301,0.00017596381],"domain_scores_gemma":[0.9989303,0.00029328847,0.000182671,0.0001285636,0.00025461955,0.00021063618],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058657414,0.00065145723,0.0005202221,0.0015584254,0.0014181316,0.0023256051,0.0006315302,0.0006621169,0.0121748885],"category_scores_gemma":[0.0018459642,0.00030052123,0.0009154297,0.000759507,0.0020075373,0.0032683515,0.0025174064,0.0014991215,0.0020822135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040271883,0.000013719366,0.00019665423,0.000024219595,0.0000070644546,0.0001276985,0.00040856638,0.00027413384,0.0009235868,0.9899277,0.0017118162,0.0063445815],"study_design_scores_gemma":[0.000026738668,0.00005302088,0.0008334374,0.000027276861,0.00001289076,0.00027781856,0.00057101384,0.0035088074,0.0016524921,0.975091,0.017920192,0.000025375826],"about_ca_topic_score_codex":0.0014508581,"about_ca_topic_score_gemma":0.0010201625,"teacher_disagreement_score":0.0121748885,"about_ca_system_score_codex":0.001307723,"about_ca_system_score_gemma":0.000578402,"threshold_uncertainty_score":0.040728986},"labels":[],"label_agreement":null},{"id":"W1597564605","doi":"10.1090/s0002-9939-02-06645-5","title":"Characterizing nearly simple chain domains","year":2002,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science; Annotation","score_opus":0.02649228281972344,"score_gpt":0.2563678951453808,"score_spread":0.22987561232565734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1597564605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19534872,0.0010111978,0.74483705,0.0012568895,0.00017473956,0.00029343908,0.0014390954,0.0010907181,0.054548107],"genre_scores_gemma":[0.77993566,0.0008574846,0.19213349,0.00060842925,0.00018158756,0.00042931444,0.0024815605,0.0005947055,0.022777688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981312,0.0003751552,0.00015652343,0.00059202797,0.00046347003,0.000281671],"domain_scores_gemma":[0.993863,0.0031007442,0.000536612,0.0009540413,0.0011729797,0.00037271934],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018063836,0.0011194438,0.0010155153,0.004444437,0.002770643,0.0042242017,0.0014706986,0.0017420606,0.00891135],"category_scores_gemma":[0.010456162,0.0012558133,0.0029108925,0.0029602186,0.003939525,0.011250405,0.005949165,0.0023659933,0.0017012213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005763939,0.00004130517,0.0015268441,0.00011162462,0.00004050004,0.00039485583,0.00053094147,0.00784448,0.0020580252,0.97630477,0.0014437496,0.009645237],"study_design_scores_gemma":[0.000018858864,0.00002227362,0.00033973664,0.00004558045,0.000026204423,0.00015797939,0.0002525775,0.02870883,0.0020768763,0.95827687,0.010045255,0.00002893495],"about_ca_topic_score_codex":0.004113391,"about_ca_topic_score_gemma":0.003415508,"teacher_disagreement_score":0.00891135,"about_ca_system_score_codex":0.0025514693,"about_ca_system_score_gemma":0.0011309098,"threshold_uncertainty_score":0.029811382},"labels":[],"label_agreement":null},{"id":"W1597912205","doi":"10.1090/s0002-9939-07-08718-7","title":"Form estimates for the 𝑝(𝑥)-Laplacean","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Computer science","score_opus":0.018253255784575224,"score_gpt":0.2785698696389186,"score_spread":0.2603166138543434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1597912205","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035950035,0.0034035076,0.86559695,0.0063419556,0.0009797338,0.000102708866,0.00048107954,0.0006171254,0.086527005],"genre_scores_gemma":[0.6712893,0.0068255397,0.19456787,0.0029248137,0.0032661983,0.0006619456,0.0012949036,0.0023809858,0.11678845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99811184,0.0006896833,0.00008188801,0.000389593,0.00050024467,0.0002268718],"domain_scores_gemma":[0.9856793,0.008475893,0.0010218148,0.0009402551,0.0029282419,0.0009544264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0068099466,0.0019013869,0.0012127131,0.004379213,0.0016278443,0.003355234,0.0030112322,0.0020234953,0.023001114],"category_scores_gemma":[0.033153225,0.0007005141,0.0016802626,0.0014239433,0.0046850564,0.00811104,0.0047709206,0.005560596,0.0048724064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004318611,0.000027244569,0.00073747715,0.00018505841,0.000020674892,0.000097756,0.00027404164,0.0050119325,0.0010788789,0.97497004,0.006040208,0.011513611],"study_design_scores_gemma":[0.0000101178075,0.000047891626,0.00063771644,0.00015673586,0.000028640381,0.00018251185,0.00019424914,0.08671585,0.00121363,0.89933,0.011435272,0.000047315574],"about_ca_topic_score_codex":0.0025308656,"about_ca_topic_score_gemma":0.0027691636,"teacher_disagreement_score":0.023001114,"about_ca_system_score_codex":0.0025513712,"about_ca_system_score_gemma":0.0016242113,"threshold_uncertainty_score":0.07694638},"labels":[],"label_agreement":null},{"id":"W1598020992","doi":"10.1090/s0002-9939-06-08304-3","title":"Universal absolute extensors in extension theory","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Metrization theorem; Countable set; Mathematics; Extension (predicate logic); Absolute (philosophy); Pure mathematics; Dimension (graph theory); Class (philosophy); Dimension theory (algebra); Discrete mathematics; Mathematical analysis; Computer science; Philosophy; Artificial intelligence; Theology","score_opus":0.013540263586358894,"score_gpt":0.27257840670983813,"score_spread":0.2590381431234792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1598020992","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73306084,0.008189813,0.1487804,0.0031417492,0.00036152967,0.000044055192,0.00027573088,0.00032722935,0.10581869],"genre_scores_gemma":[0.98152775,0.001132664,0.008374727,0.00019444979,0.00020331577,0.000029207902,0.00011315859,0.000026903395,0.008397705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946743,0.00012243415,0.000038726303,0.00013360556,0.0001306487,0.00010712211],"domain_scores_gemma":[0.9989918,0.0004406005,0.000090497,0.0001338827,0.0001315451,0.00021167801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014117319,0.00044487542,0.0005199128,0.0014192227,0.0011388259,0.0019205211,0.0005094954,0.00055133505,0.002989142],"category_scores_gemma":[0.001942158,0.0003346204,0.000543013,0.0008405293,0.0038871432,0.005796796,0.0031336558,0.0016812659,0.00031613687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015770178,0.000008348938,0.0004455805,0.00002909512,0.0000049683968,0.00007010002,0.00032842136,0.0002657553,0.00079375226,0.99517894,0.00028003473,0.0025792597],"study_design_scores_gemma":[0.000014569217,0.000034975274,0.00083534146,0.000026674426,0.000009154753,0.00022307978,0.00022388584,0.0019274848,0.00079001166,0.9892964,0.006607742,0.000010658305],"about_ca_topic_score_codex":0.00042278043,"about_ca_topic_score_gemma":0.00031781377,"teacher_disagreement_score":0.002989142,"about_ca_system_score_codex":0.001026592,"about_ca_system_score_gemma":0.00034844177,"threshold_uncertainty_score":0.009999692},"labels":[],"label_agreement":null},{"id":"W1600479821","doi":"10.1090/s0002-9939-07-08960-5","title":"Maximality of sums of two maximal monotone operators in general Banach space","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotone polygon; Mathematics; Banach space; Transversality; Pure mathematics; Regular polygon; Function space; Space (punctuation); Approximation property; Discrete mathematics; Function (biology); Computer science","score_opus":0.01087434134665557,"score_gpt":0.2684613241348386,"score_spread":0.25758698278818304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1600479821","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29108593,0.0010062392,0.68741363,0.000932234,0.00017961237,0.00007400777,0.00013320635,0.00017168213,0.019003429],"genre_scores_gemma":[0.8859642,0.00065208564,0.10606282,0.00024325738,0.0002646572,0.00017668935,0.00014763117,0.0001250034,0.006363651],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965475,0.0010232436,0.00025503433,0.0008157668,0.0009465307,0.0004118164],"domain_scores_gemma":[0.9895835,0.0064965216,0.00096604077,0.0004071429,0.0011830102,0.0013638712],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0051340624,0.0012333926,0.0012725367,0.0022905043,0.0015597407,0.002854807,0.0015819255,0.001163383,0.0023080048],"category_scores_gemma":[0.01197181,0.00077376235,0.0022789943,0.0010770074,0.005296614,0.006600681,0.0059496392,0.0034588515,0.00024814514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011948718,0.00002719819,0.0006597381,0.00012754327,0.0000651144,0.0003197914,0.00040825445,0.004432915,0.0071811825,0.981396,0.00034850472,0.004914278],"study_design_scores_gemma":[0.000016991084,0.00009367976,0.00035168946,0.000024413877,0.000032336044,0.00039039415,0.00016367748,0.0455689,0.0047152066,0.947226,0.0013777717,0.000038968235],"about_ca_topic_score_codex":0.00029483764,"about_ca_topic_score_gemma":0.0002653135,"teacher_disagreement_score":0.0051340624,"about_ca_system_score_codex":0.0012337104,"about_ca_system_score_gemma":0.00081915775,"threshold_uncertainty_score":0.027151823},"labels":[],"label_agreement":null},{"id":"W1602005497","doi":"10.1090/s0002-9939-02-06422-5","title":"Natural bound in Kwiecinski’s criterion for flatness","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Flatness (cosmology); Morphism; Mathematics; Ideal (ethics); Component (thermodynamics); Upper and lower bounds; Combinatorics; Pure mathematics; Geometry; Mathematical analysis; Discrete mathematics; Physics; Quantum mechanics; Philosophy","score_opus":0.027760544434906918,"score_gpt":0.289214496429578,"score_spread":0.2614539519946711,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1602005497","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27011213,0.0026141142,0.40791354,0.009864895,0.0010337376,0.00023390198,0.001705567,0.00155314,0.30496907],"genre_scores_gemma":[0.9257191,0.00048355435,0.042057827,0.0017274669,0.00035893882,0.00021342428,0.0013222995,0.00040539357,0.027711995],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996601,0.0006264194,0.0003174984,0.0010009295,0.00079830276,0.0006559593],"domain_scores_gemma":[0.99375945,0.0021056118,0.00022966291,0.0008194145,0.0025183854,0.0005674043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002641428,0.0007947887,0.0009483511,0.0038458942,0.0032623147,0.0029503033,0.0013346309,0.001694225,0.011377521],"category_scores_gemma":[0.0093773175,0.0008159478,0.001738285,0.0013502693,0.0061605107,0.00948445,0.0047957813,0.0036797149,0.0015282183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047227546,0.000021652453,0.0009421062,0.00006510021,0.000013574152,0.00018196966,0.0003875821,0.0004206833,0.0010060711,0.9895314,0.0027133643,0.0046690754],"study_design_scores_gemma":[0.000031555734,0.000060350372,0.002034876,0.00005851417,0.000024971736,0.00034448,0.0004525758,0.0038017102,0.00222377,0.9746158,0.016296357,0.000055066885],"about_ca_topic_score_codex":0.0037038694,"about_ca_topic_score_gemma":0.0028324854,"teacher_disagreement_score":0.011377521,"about_ca_system_score_codex":0.002915398,"about_ca_system_score_gemma":0.000957226,"threshold_uncertainty_score":0.03806156},"labels":[],"label_agreement":null},{"id":"W1602479051","doi":"10.1090/s0002-9939-05-08089-5","title":"Strong converse inequality for Poisson sums","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Converse; Inequality; Poisson distribution; Mathematics; Mathematical economics; Pure mathematics; Statistics; Mathematical analysis; Geometry","score_opus":0.046436137510913494,"score_gpt":0.3334210702427396,"score_spread":0.2869849327318261,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1602479051","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10888041,0.0058604437,0.6196886,0.01643124,0.0022634396,0.00025501568,0.0020707613,0.00067843305,0.24387164],"genre_scores_gemma":[0.8176878,0.006302325,0.089207016,0.005430082,0.0031389638,0.0009971682,0.0016511644,0.00077100773,0.07481447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9935254,0.0022652869,0.00043260297,0.001092514,0.0019590876,0.0007251338],"domain_scores_gemma":[0.962284,0.024861963,0.0016558351,0.0020847893,0.00732755,0.0017858044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009931438,0.0014932887,0.0019852358,0.0031092344,0.0022679316,0.005131744,0.0029698096,0.0022405419,0.014467242],"category_scores_gemma":[0.04492993,0.0009847067,0.0032090782,0.0017474073,0.0036101632,0.011313914,0.0073898477,0.0069070365,0.0025732792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000705598,0.000017663975,0.000322613,0.00015842804,0.000038882186,0.00015476454,0.00018975625,0.0019640157,0.001073264,0.9874751,0.0034525823,0.0050823777],"study_design_scores_gemma":[0.000028154336,0.00005292498,0.00055710855,0.00008456387,0.000056977122,0.0005947021,0.00018321293,0.054855276,0.0017889757,0.93425155,0.0074941353,0.00005249584],"about_ca_topic_score_codex":0.0018559431,"about_ca_topic_score_gemma":0.0012275302,"teacher_disagreement_score":0.014467242,"about_ca_system_score_codex":0.003074665,"about_ca_system_score_gemma":0.0020361333,"threshold_uncertainty_score":0.052523077},"labels":[],"label_agreement":null},{"id":"W1603355531","doi":"10.1090/s0002-9939-06-08453-x","title":"On the minimum of several random variables","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Mathematics; Computer science; Statistics","score_opus":0.029474576340766886,"score_gpt":0.285920358624239,"score_spread":0.2564457822834721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1603355531","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0818343,0.0025263329,0.88534886,0.0044307793,0.0004218207,0.00010663498,0.0014367359,0.0009324799,0.022961993],"genre_scores_gemma":[0.69674325,0.0028963296,0.24682434,0.0017667378,0.0010547325,0.0007358775,0.0038331456,0.0010840835,0.045061514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99599326,0.0016059435,0.0001781894,0.0012866358,0.000527464,0.0004085433],"domain_scores_gemma":[0.97697246,0.018775629,0.0010584418,0.001531978,0.0009258044,0.0007357373],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0061404835,0.0012569597,0.0024439574,0.0021801258,0.0014182188,0.0033299648,0.0027330585,0.002735408,0.018927004],"category_scores_gemma":[0.032820206,0.0011293085,0.0018313192,0.0018816977,0.0030497713,0.0077253147,0.0034731668,0.0042679203,0.002434918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004122158,0.00005205544,0.0019330994,0.0003280602,0.00018030903,0.00023395935,0.00020363371,0.07645294,0.00097431574,0.8842525,0.011545546,0.023431456],"study_design_scores_gemma":[0.0001023949,0.00010454728,0.0008458592,0.00013908451,0.00005478432,0.00015474076,0.00005559803,0.27483365,0.0008111251,0.7178294,0.005023606,0.00004529538],"about_ca_topic_score_codex":0.0017047103,"about_ca_topic_score_gemma":0.0028429287,"teacher_disagreement_score":0.018927004,"about_ca_system_score_codex":0.002256519,"about_ca_system_score_gemma":0.0015860881,"threshold_uncertainty_score":0.06331712},"labels":[],"label_agreement":null},{"id":"W1605525239","doi":"10.1090/s0002-9939-01-06249-9","title":"On the continuity of biconjugate convex functions","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Biconjugate gradient method; Regular polygon; Mathematics; Computer science; Artificial intelligence; Geometry","score_opus":0.03420538097461337,"score_gpt":0.2839339550925175,"score_spread":0.24972857411790414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1605525239","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18268119,0.004339736,0.6115963,0.005553918,0.0005713273,0.00009639319,0.0008084495,0.00043996956,0.19391277],"genre_scores_gemma":[0.8658773,0.003644768,0.08126132,0.001447921,0.00046157546,0.00025497083,0.0010689917,0.00047346103,0.045509618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798775,0.00066564267,0.00010312227,0.0004795999,0.00042834316,0.0003355445],"domain_scores_gemma":[0.99579513,0.001894034,0.0002816565,0.00030130398,0.0012167607,0.00051105476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025068508,0.0012728082,0.0008345537,0.0020813518,0.001413968,0.0032814182,0.001083018,0.00092469784,0.008714272],"category_scores_gemma":[0.007016954,0.0005118018,0.001184654,0.001487169,0.004454776,0.005031299,0.004578693,0.0038755857,0.0021365494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049017293,0.000022537217,0.00040295118,0.00008461355,0.0000222187,0.0001759364,0.00033294715,0.0022616063,0.001458971,0.9833129,0.0026551709,0.009221138],"study_design_scores_gemma":[0.000018283787,0.000087623775,0.0012678677,0.00007058786,0.000023143908,0.0003355335,0.00031622796,0.030453991,0.002385785,0.9511763,0.013823781,0.000040863175],"about_ca_topic_score_codex":0.002323505,"about_ca_topic_score_gemma":0.001148791,"teacher_disagreement_score":0.008714272,"about_ca_system_score_codex":0.0017754971,"about_ca_system_score_gemma":0.0009123981,"threshold_uncertainty_score":0.029152095},"labels":[],"label_agreement":null},{"id":"W1606635376","doi":"10.1090/s0002-9939-00-05729-4","title":"Relative boundedness and relative compactness for linear operators in Banach spaces","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Computer science; Type (biology); Semantics (computer science); Artificial intelligence; Programming language; Biology","score_opus":0.02301425975977866,"score_gpt":0.31723386693462624,"score_spread":0.2942196071748476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1606635376","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08730468,0.0020144223,0.8269425,0.0032409728,0.00045091362,0.00008145714,0.00046641642,0.000832623,0.07866606],"genre_scores_gemma":[0.7901927,0.0021826439,0.16060002,0.00179452,0.0008213005,0.0006054709,0.0012571986,0.0010306864,0.04151545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99394155,0.0023240193,0.000437726,0.0012600578,0.001552576,0.00048415683],"domain_scores_gemma":[0.9866736,0.0076300222,0.0011455674,0.0011765448,0.0027314378,0.0006428178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005145664,0.0013681763,0.0009413657,0.0023529397,0.001463496,0.004068211,0.0014174492,0.0012908913,0.008114256],"category_scores_gemma":[0.01675555,0.00075383467,0.002332994,0.0014511815,0.006121711,0.010271767,0.004722498,0.003588513,0.0019525877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000074695185,0.000029366858,0.00031978192,0.00020316981,0.000039960145,0.00014796377,0.0010388865,0.0025712163,0.0037005553,0.9782646,0.002153769,0.011455948],"study_design_scores_gemma":[0.000020120173,0.000093333685,0.00089540926,0.000071519666,0.000032171083,0.0002623193,0.0004296356,0.024892077,0.0054632043,0.95457613,0.013224189,0.00004000077],"about_ca_topic_score_codex":0.0012974642,"about_ca_topic_score_gemma":0.00073506136,"teacher_disagreement_score":0.008114256,"about_ca_system_score_codex":0.0018926068,"about_ca_system_score_gemma":0.0012096599,"threshold_uncertainty_score":0.027213216},"labels":[],"label_agreement":null},{"id":"W1608635114","doi":"10.1090/s0002-9939-05-08066-4","title":"$HSP\\not = SHPS$ for commutative rings with identity","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Identity (music); Commutative ring; Mathematics; Commutative property; Class (philosophy); Subclass; Combinatorics; Algebraic number; Discrete mathematics; Physics; Mathematical analysis; Computer science; Biology","score_opus":0.014469224069581118,"score_gpt":0.27229565498376634,"score_spread":0.2578264309141852,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1608635114","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2266372,0.004431022,0.28942993,0.00670805,0.0030633635,0.00031494675,0.0031519511,0.0014346342,0.46482888],"genre_scores_gemma":[0.816025,0.0020318443,0.10018957,0.0018652962,0.0013102732,0.00046647928,0.0024331808,0.0003506633,0.0753277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993303,0.00014971563,0.00005291886,0.00015705333,0.00015950162,0.00015062404],"domain_scores_gemma":[0.9993869,0.00015581887,0.00010083898,0.00012307869,0.000118467055,0.000114953255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007889351,0.0005116794,0.0003386198,0.0008162518,0.0019004405,0.002216047,0.0004322456,0.00046466925,0.012723966],"category_scores_gemma":[0.0007255296,0.00020999358,0.0004912686,0.00085902214,0.003232071,0.0041243993,0.002130435,0.0015516394,0.002208266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030317347,0.000014551056,0.0002535457,0.000055006156,0.0000050440417,0.00014018225,0.0006375622,0.000071875846,0.0010700016,0.9849895,0.0044284933,0.008303873],"study_design_scores_gemma":[0.000023709043,0.000074446565,0.0017209369,0.000038436734,0.000021268503,0.0012242816,0.00090579776,0.0010519791,0.004554852,0.7098731,0.28047782,0.000033425447],"about_ca_topic_score_codex":0.0004607445,"about_ca_topic_score_gemma":0.00040148047,"teacher_disagreement_score":0.012723966,"about_ca_system_score_codex":0.0006026952,"about_ca_system_score_gemma":0.0005014932,"threshold_uncertainty_score":0.042565882},"labels":[],"label_agreement":null},{"id":"W1611973489","doi":"10.1090/s0002-9939-02-06614-5","title":"Oscillation of linear Hamiltonian systems","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Eigenvalues and eigenvectors; Hamiltonian system; Monotone polygon; Oscillation (cell signaling); Mathematics; Hamiltonian (control theory); Mathematical analysis; Applied mathematics; Pure mathematics; Physics; Mathematical optimization; Quantum mechanics; Geometry","score_opus":0.03876710803972606,"score_gpt":0.2882003494148237,"score_spread":0.24943324137509765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1611973489","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24874613,0.0013144652,0.727226,0.00077511003,0.00019136438,0.00007561455,0.00011359524,0.0002081036,0.021349687],"genre_scores_gemma":[0.95732224,0.00035886277,0.0372975,0.00014639339,0.00012800029,0.00010432076,0.000070195514,0.00008763827,0.004484925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995004,0.00014164245,0.00003216483,0.00008081395,0.0001655878,0.0000793454],"domain_scores_gemma":[0.9983487,0.0007226663,0.00023621613,0.000092133174,0.00039919012,0.0002010676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010496315,0.0004597619,0.00041122746,0.00077473844,0.00047503674,0.00090062385,0.00054076,0.0006657991,0.0022880482],"category_scores_gemma":[0.003584253,0.00020045106,0.00033428243,0.00025324424,0.0010288684,0.001504862,0.0013440524,0.0007803233,0.00020454884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009029828,0.000034210658,0.0018477316,0.00017681633,0.000029394474,0.00020559426,0.0004547971,0.03517452,0.04091817,0.89888453,0.002019382,0.02016456],"study_design_scores_gemma":[0.000020785936,0.00009863108,0.0013101689,0.000036052417,0.000009564572,0.00018587375,0.00010831834,0.5497139,0.0036841687,0.44182023,0.00297286,0.000039519702],"about_ca_topic_score_codex":0.00037388972,"about_ca_topic_score_gemma":0.0003076184,"teacher_disagreement_score":0.0022880482,"about_ca_system_score_codex":0.0006039258,"about_ca_system_score_gemma":0.00029229518,"threshold_uncertainty_score":0.0076542497},"labels":[],"label_agreement":null},{"id":"W1619030642","doi":"10.1090/s0002-9939-2013-11704-1","title":"Spectral isometries on non-simple \\textsl{C*}-algebras","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Queen's University; Queen's University Belfast; London Mathematical Society","keywords":"Simple (philosophy); Mathematics; Pure mathematics; Algebra over a field; Philosophy; Epistemology","score_opus":0.023635566074256802,"score_gpt":0.3164224439633998,"score_spread":0.292786877889143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1619030642","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7833788,0.00038114798,0.12727483,0.00062605325,0.00016703775,0.0000714245,0.00012285363,0.00022722635,0.08775065],"genre_scores_gemma":[0.9799627,0.00018085324,0.011171248,0.00010227285,0.00009916946,0.00004437709,0.000069103015,0.000031981246,0.008338277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942255,0.000104700215,0.000036300837,0.00010033273,0.00022427272,0.00011183802],"domain_scores_gemma":[0.9989281,0.00022398656,0.00022515483,0.00011724572,0.0002723428,0.00023304891],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006867606,0.00050092186,0.0004044844,0.0011044987,0.0012774713,0.0017938722,0.0006876857,0.0005132065,0.00501172],"category_scores_gemma":[0.0017204357,0.00024362533,0.0005116145,0.0006418188,0.0022252568,0.0030670844,0.0020420426,0.0015036187,0.00072591344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001905759,0.000033595377,0.00032932125,0.00004741283,0.0000068384497,0.00016268741,0.0005435581,0.0005932816,0.003424223,0.98942167,0.00038500526,0.0050332723],"study_design_scores_gemma":[0.000016901718,0.000045966688,0.00069685036,0.00001536224,0.000006922244,0.0002794744,0.00039634574,0.007869144,0.005521303,0.98164374,0.0034901781,0.000017813152],"about_ca_topic_score_codex":0.00036862478,"about_ca_topic_score_gemma":0.00036809454,"teacher_disagreement_score":0.00501172,"about_ca_system_score_codex":0.0006793189,"about_ca_system_score_gemma":0.00052336225,"threshold_uncertainty_score":0.016765833},"labels":[],"label_agreement":null},{"id":"W1626133341","doi":"10.1090/s0002-9939-03-07149-1","title":"Differentiability of cone-monotone functions on separable Banach space","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Institutes of Health; National Science Foundation","keywords":"Differentiable function; Monotone polygon; Lipschitz continuity; Banach space; Mathematics; Separable space; Cone (formal languages); Pure mathematics; Convex function; Regular polygon; Function (biology); Space (punctuation); Mathematical analysis; Computer science; Geometry","score_opus":0.019435838242484585,"score_gpt":0.2935263244152155,"score_spread":0.2740904861727309,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1626133341","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.264601,0.0016596435,0.6931051,0.0010873007,0.00014788155,0.00004195315,0.00021918325,0.00015361463,0.03898435],"genre_scores_gemma":[0.9153892,0.0018861894,0.06658406,0.0002046427,0.00014236545,0.000064148204,0.00019373038,0.00006157053,0.015474128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99967265,0.00008414281,0.000017223352,0.000060576498,0.00012451582,0.000040870033],"domain_scores_gemma":[0.9991779,0.00031314138,0.000112853304,0.000068702284,0.00019993074,0.0001274973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010842413,0.00066977926,0.00037992944,0.00060957705,0.00038567017,0.0010993986,0.00036104754,0.00042013862,0.0014710865],"category_scores_gemma":[0.002515095,0.00015026049,0.0005753072,0.00052518345,0.0014739563,0.0017189933,0.0009966015,0.0014736602,0.0002171093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059965445,0.000024042067,0.0006644489,0.00008684989,0.000011979553,0.00021310261,0.00028639662,0.008829498,0.017498694,0.9573355,0.0005516121,0.014437959],"study_design_scores_gemma":[0.000021830134,0.00019953701,0.0015689841,0.000035918292,0.000017839066,0.0005051892,0.00016998027,0.14308675,0.009385954,0.8370359,0.00795212,0.000019987307],"about_ca_topic_score_codex":0.0008155653,"about_ca_topic_score_gemma":0.0007231757,"teacher_disagreement_score":0.0014710865,"about_ca_system_score_codex":0.0008251389,"about_ca_system_score_gemma":0.00056428707,"threshold_uncertainty_score":0.0059868097},"labels":[],"label_agreement":null},{"id":"W1628001501","doi":"10.1090/s0002-9939-02-06609-1","title":"On the number of Fourier coefficients that determine a Hilbert modular form","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"McGill University","funders":"","keywords":"Mathematics; Modular form; Cusp form; Fourier series; Cusp (singularity); Quotient; Modular design; Fourier transform; Rayleigh quotient; Mathematical analysis; Pure mathematics; Physics; Geometry; Computer science; Quantum mechanics","score_opus":0.03174623554647936,"score_gpt":0.28284363248284455,"score_spread":0.2510973969363652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1628001501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8095646,0.0008435199,0.16379464,0.001428674,0.00033486128,0.00006573915,0.00029565173,0.0002723879,0.023399921],"genre_scores_gemma":[0.9442407,0.0007847107,0.04517023,0.00013584128,0.0006018945,0.000109981396,0.0004955981,0.00017623248,0.008284858],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978294,0.0005379136,0.00011430854,0.0003614034,0.0008289752,0.00032800753],"domain_scores_gemma":[0.979856,0.014540158,0.0018256995,0.0013861897,0.0011404895,0.0012514029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035953647,0.0012709837,0.0014353831,0.0040551675,0.0024568231,0.0025149311,0.0021021543,0.002152694,0.0072463416],"category_scores_gemma":[0.020364244,0.0007589047,0.0013593542,0.0013688476,0.004330961,0.006905653,0.0031105753,0.0027824806,0.000976289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015008876,0.0003765188,0.021415757,0.0006952338,0.00017978362,0.00164953,0.0008526823,0.023782354,0.048380163,0.83622396,0.005130982,0.059812225],"study_design_scores_gemma":[0.00017647319,0.00024852116,0.014627782,0.00019238588,0.00023498396,0.004403528,0.00044685564,0.22874996,0.03498098,0.7114642,0.004231384,0.00024291762],"about_ca_topic_score_codex":0.00040567317,"about_ca_topic_score_gemma":0.00036759657,"teacher_disagreement_score":0.0072463416,"about_ca_system_score_codex":0.0009704202,"about_ca_system_score_gemma":0.000576712,"threshold_uncertainty_score":0.024241447},"labels":[],"label_agreement":null},{"id":"W1633768103","doi":"10.1090/s0002-9939-00-05690-2","title":"The expected 𝐿_{𝑝} norm of random polynomials","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Random variable; Polynomial; Physics; Statistics; Mathematical analysis","score_opus":0.015017827362570698,"score_gpt":0.26854278221916356,"score_spread":0.2535249548565929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1633768103","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11450806,0.0012401438,0.75927836,0.005605501,0.0009901731,0.00009199269,0.0019622133,0.0012276412,0.11509594],"genre_scores_gemma":[0.8041265,0.0022134744,0.13158828,0.0016675213,0.0016719649,0.0005142707,0.0033698273,0.001770349,0.05307785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9946873,0.0015224781,0.0002291321,0.0010220665,0.0019757007,0.0005632745],"domain_scores_gemma":[0.98349714,0.008330675,0.0014761807,0.0015007004,0.0037617502,0.0014336099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005087038,0.00083674275,0.0010975077,0.0017885409,0.0010490698,0.0039477516,0.0022715642,0.00098189,0.011255923],"category_scores_gemma":[0.03324879,0.00043221514,0.00083321764,0.00094940205,0.003731775,0.0068359515,0.0032158317,0.0029166373,0.002913523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009788171,0.000026497375,0.00056428276,0.000120189026,0.000015235211,0.00007487957,0.00006937034,0.005263161,0.00081737584,0.97914875,0.0039632344,0.009839169],"study_design_scores_gemma":[0.000020392585,0.00005980895,0.00096101663,0.000084415515,0.000013813216,0.00022173605,0.00007900325,0.0916309,0.0027949517,0.8971687,0.0069177006,0.000047677808],"about_ca_topic_score_codex":0.0014505666,"about_ca_topic_score_gemma":0.00087520253,"teacher_disagreement_score":0.011255923,"about_ca_system_score_codex":0.0024285226,"about_ca_system_score_gemma":0.0015526665,"threshold_uncertainty_score":0.037654817},"labels":[],"label_agreement":null},{"id":"W1637302308","doi":"10.1090/s0002-9939-05-08006-8","title":"Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotonic function; Hilbert space; Mathematics; Periodic orbits; Dynamical systems theory; Context (archaeology); Dimension (graph theory); Fixed point; Mathematical analysis; Pure mathematics; Nonlinear system; Space (punctuation); Dynamical system (definition); Physics; Computer science; Quantum mechanics","score_opus":0.02498069828446242,"score_gpt":0.29974161636362956,"score_spread":0.27476091807916714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1637302308","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6629185,0.0012347178,0.30660287,0.0006967177,0.000095022995,0.000091086535,0.0002783914,0.000097079086,0.027985536],"genre_scores_gemma":[0.9605401,0.0008641678,0.035018746,0.00006979332,0.000115492556,0.00011233234,0.00025839306,0.00003062946,0.002990327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946123,0.00014571795,0.00003834109,0.00010561639,0.00014802383,0.0001011524],"domain_scores_gemma":[0.99745125,0.0013232826,0.00034751138,0.00022898302,0.00042550178,0.000223478],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012213663,0.00038739192,0.00052566,0.0010064207,0.0008511798,0.00116271,0.00051804096,0.00049679563,0.002769751],"category_scores_gemma":[0.004431562,0.00029453562,0.0005435753,0.00045182504,0.0023111326,0.0038046986,0.0016474827,0.0013431732,0.00023927813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000714802,0.000030558396,0.0020292648,0.0001619491,0.000025184305,0.00044282063,0.00046173958,0.0053431457,0.009755167,0.9664542,0.0005561416,0.01466836],"study_design_scores_gemma":[0.000024237865,0.00012025334,0.0021170483,0.00004677428,0.00001704407,0.00080392836,0.00024897,0.06977762,0.0056922934,0.9184778,0.0026420904,0.00003206115],"about_ca_topic_score_codex":0.00030110052,"about_ca_topic_score_gemma":0.00021865196,"teacher_disagreement_score":0.002769751,"about_ca_system_score_codex":0.00035226948,"about_ca_system_score_gemma":0.00040024996,"threshold_uncertainty_score":0.009265721},"labels":[],"label_agreement":null},{"id":"W1640981999","doi":"10.1090/s0002-9939-06-08490-5","title":"Root closed function algebras on compacta of large dimension","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","score_opus":0.017658663541477874,"score_gpt":0.29094175969208824,"score_spread":0.27328309615061036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1640981999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4250223,0.0039759786,0.33765393,0.004028048,0.00067204365,0.00007954588,0.001880094,0.0022645316,0.2244235],"genre_scores_gemma":[0.9108062,0.001102387,0.038844936,0.00054000464,0.00044197595,0.00009516815,0.001082563,0.00044088266,0.046645764],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886465,0.00023616022,0.00007508282,0.0002753882,0.000387088,0.00016154566],"domain_scores_gemma":[0.9977709,0.0008542125,0.0002533067,0.00022363215,0.0005949138,0.00030299902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011640599,0.0008255057,0.00086238584,0.0025559939,0.001235096,0.004002032,0.00074823404,0.00082111935,0.009687228],"category_scores_gemma":[0.00327058,0.00034236134,0.0008611431,0.0014320721,0.0023500926,0.007244195,0.002217491,0.0017493638,0.0022016398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020952883,0.000009792997,0.00012800371,0.000040731218,0.000005985391,0.00006287463,0.00018347998,0.0004668479,0.0007008087,0.99351996,0.0012059092,0.0036546625],"study_design_scores_gemma":[0.000023975635,0.0000261998,0.0004555366,0.000022063223,0.000010621605,0.00014972202,0.00027296366,0.0055727614,0.0013232342,0.9814247,0.010698457,0.000019792664],"about_ca_topic_score_codex":0.0016777568,"about_ca_topic_score_gemma":0.0012963772,"teacher_disagreement_score":0.009687228,"about_ca_system_score_codex":0.0027021668,"about_ca_system_score_gemma":0.0005802839,"threshold_uncertainty_score":0.032406986},"labels":[],"label_agreement":null},{"id":"W1641456849","doi":"10.1090/s0002-9939-05-08220-1","title":"A generalized Lucas sequence and permutation binomials","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":40,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sequence (biology); Lucas sequence; Permutation (music); Mathematics; Combinatorics; Lucas number; Genetics; Biology; Fibonacci number; Philosophy; Fibonacci polynomials","score_opus":0.022731961736840427,"score_gpt":0.27101421068409604,"score_spread":0.24828224894725562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1641456849","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24792233,0.0027325824,0.19137198,0.00388625,0.001791509,0.00013413375,0.0009010473,0.0009882535,0.55027187],"genre_scores_gemma":[0.78931,0.0019016635,0.05190602,0.0008273146,0.0007478964,0.00013205386,0.00074204296,0.00053893775,0.15389408],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950147,0.00012513477,0.000024008581,0.00009774323,0.00014247022,0.000109143024],"domain_scores_gemma":[0.99933136,0.00025273618,0.00008179328,0.000077788805,0.00015804169,0.00009817084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006364468,0.00063184655,0.00058083446,0.0018733435,0.0014691553,0.0021160387,0.0005598107,0.0007100181,0.022436315],"category_scores_gemma":[0.0030621896,0.00035371433,0.00074586086,0.0015775573,0.0019287172,0.0025866134,0.001378719,0.0015480651,0.004712978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034753266,0.000007873658,0.00013908814,0.00004099648,0.0000032388466,0.00013720746,0.00014784282,0.0009043425,0.00059788645,0.98066,0.0036306295,0.013696116],"study_design_scores_gemma":[0.000024342931,0.00003089668,0.00031265634,0.000039691648,0.000007373554,0.00027761914,0.00011996726,0.005528632,0.00080575026,0.9625689,0.030259373,0.000024898354],"about_ca_topic_score_codex":0.0022005842,"about_ca_topic_score_gemma":0.0025441067,"teacher_disagreement_score":0.022436315,"about_ca_system_score_codex":0.0018664713,"about_ca_system_score_gemma":0.0009356585,"threshold_uncertainty_score":0.07505697},"labels":[],"label_agreement":null},{"id":"W1651719650","doi":"10.1090/s0002-9939-04-07548-3","title":"Commutative subalgebras of the corona","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","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 New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Noncommutative geometry; Corona (planetary geology); Commutative property; Construct (python library); Range (aeronautics); Mathematics; Calculus (dental); Pure mathematics; Algebra over a field; Theoretical physics; Physics; Computer science; Materials science; Programming language; Medicine; Astrobiology","score_opus":0.026187545334868705,"score_gpt":0.3086403347938811,"score_spread":0.28245278945901237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1651719650","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63555086,0.001319428,0.20603806,0.0012196989,0.00036194082,0.0000760263,0.0003031758,0.00035877706,0.15477201],"genre_scores_gemma":[0.96928644,0.00048165943,0.02021373,0.00020217078,0.00034201035,0.000044349912,0.00015956492,0.000050305764,0.009219831],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9994875,0.00010869174,0.000030932744,0.00012868576,0.00015205838,0.00009207656],"domain_scores_gemma":[0.99935704,0.00013361844,0.00006372115,0.00010050274,0.00017853816,0.00016648015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006572207,0.0002431167,0.00035952733,0.00067306607,0.0012883585,0.001477495,0.00036172452,0.0002978633,0.003022784],"category_scores_gemma":[0.0010044852,0.00018991758,0.0006751386,0.00037382718,0.001290501,0.003449179,0.0012342557,0.00089651346,0.00030298898],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007991837,0.0000088686265,0.00015808595,0.000013780607,0.0000048663073,0.00005737749,0.00014084733,0.00023628827,0.0014202251,0.9957312,0.00027620973,0.001944358],"study_design_scores_gemma":[0.000008732693,0.00002544003,0.0006377299,0.000009791108,0.0000120190025,0.00024152624,0.00013612918,0.004303559,0.0017704673,0.9841818,0.008660646,0.000012026832],"about_ca_topic_score_codex":0.00051808887,"about_ca_topic_score_gemma":0.0004648137,"teacher_disagreement_score":0.003022784,"about_ca_system_score_codex":0.00052185735,"about_ca_system_score_gemma":0.00044191422,"threshold_uncertainty_score":0.010112226},"labels":[],"label_agreement":null},{"id":"W1653587198","doi":"10.1090/s0002-9939-04-07477-5","title":"Are generalized Lorentz “spaces” really spaces?","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"Grantová Agentura České Republiky; Kempe Foundation","keywords":"Lorentz transformation; Lorentz space; Space (punctuation); Mathematics; Set (abstract data type); Pure mathematics; Lambda; Four-momentum; Lorentz covariance; Mathematical physics; Physics; Mathematical analysis; Classical mechanics; Computer science; Quantum mechanics","score_opus":0.04487682544471642,"score_gpt":0.34755044194180185,"score_spread":0.3026736164970854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1653587198","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08987932,0.0029878083,0.38490215,0.016181195,0.0033250328,0.000072963194,0.0009199284,0.0018141306,0.4999174],"genre_scores_gemma":[0.79149765,0.0024254113,0.06812777,0.00574013,0.00197177,0.00020240028,0.00085534,0.0015382112,0.12764128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99836165,0.0005352906,0.00008113587,0.00041123168,0.00033935465,0.00027137552],"domain_scores_gemma":[0.9986094,0.00035038125,0.00015901127,0.00038644546,0.00031681787,0.00017795071],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015950585,0.0009246392,0.00046543084,0.0010267963,0.002119487,0.004927558,0.0014701806,0.0015629184,0.023300963],"category_scores_gemma":[0.0042462116,0.00044419363,0.0009500586,0.0011222718,0.007153229,0.009935011,0.0036438808,0.003015891,0.0063179047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052026403,0.0000022708848,0.00004230203,0.000015231967,0.0000026768946,0.000022411676,0.00016798373,0.0000782866,0.00010546787,0.99521965,0.0018213241,0.002517161],"study_design_scores_gemma":[0.0000034752052,0.000006170788,0.00010085339,0.000009392796,0.0000029458151,0.00004306871,0.00019370417,0.0007192403,0.00020590678,0.9766084,0.0220977,0.000009096754],"about_ca_topic_score_codex":0.0018740625,"about_ca_topic_score_gemma":0.0014059639,"teacher_disagreement_score":0.023300963,"about_ca_system_score_codex":0.0013823062,"about_ca_system_score_gemma":0.0007428738,"threshold_uncertainty_score":0.077949524},"labels":[],"label_agreement":null},{"id":"W1661413222","doi":"10.1090/s0002-9939-05-08348-6","title":"On homeomorphisms and quasi-isometries of the real line","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Calgary","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Computer science; Mathematics; Biology; Paleontology","score_opus":0.01773275285069432,"score_gpt":0.2680238853659927,"score_spread":0.2502911325152984,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1661413222","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41349322,0.0024562594,0.33932364,0.001914804,0.00083136914,0.00009229927,0.0005759939,0.0010204758,0.24029192],"genre_scores_gemma":[0.8904185,0.0014572226,0.04080199,0.0003998372,0.00041650745,0.00009832112,0.0005117494,0.00041166556,0.06548406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935573,0.00015598825,0.00003359693,0.00019142272,0.00014521428,0.00011804947],"domain_scores_gemma":[0.99940336,0.00016886696,0.00010324117,0.000104291415,0.00013642386,0.00008372349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043617055,0.0006712894,0.00032408713,0.0010850163,0.0008623629,0.0016607771,0.00052029727,0.00040474976,0.008965138],"category_scores_gemma":[0.0013555636,0.00027337455,0.0007306165,0.00064094644,0.001988712,0.0028657317,0.0017031651,0.0014989041,0.0018531344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025125419,0.000012157832,0.00020916664,0.00003060008,0.0000065422914,0.000104200575,0.0005168042,0.00063871633,0.0016206804,0.98485374,0.0011143667,0.010867828],"study_design_scores_gemma":[0.000020488098,0.00010448895,0.001050879,0.00002485971,0.000012779278,0.00024993796,0.00068314053,0.0046656094,0.00253016,0.9549034,0.035731748,0.00002250259],"about_ca_topic_score_codex":0.0013391529,"about_ca_topic_score_gemma":0.00072304066,"teacher_disagreement_score":0.008965138,"about_ca_system_score_codex":0.00085670117,"about_ca_system_score_gemma":0.000262518,"threshold_uncertainty_score":0.029991388},"labels":[],"label_agreement":null},{"id":"W1662496170","doi":"10.1090/s0002-9939-05-07750-6","title":"Examples of rational homotopy types of blow-ups","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Homotopy; Mathematics; Homotopy analysis method; Computer science; Pure mathematics; Mathematical economics","score_opus":0.02003840570336169,"score_gpt":0.28038238541152694,"score_spread":0.26034397970816525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1662496170","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25585753,0.0014505604,0.17718071,0.0017479269,0.0013553224,0.0002316633,0.0014652725,0.0036994368,0.55701154],"genre_scores_gemma":[0.84509975,0.0008658682,0.04921205,0.00029508662,0.00020382377,0.00015391955,0.0013111979,0.0011731753,0.10168513],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905616,0.00009256249,0.000057417918,0.0001716047,0.0003525784,0.00026968698],"domain_scores_gemma":[0.99936455,0.00018316884,0.00005464671,0.00010448128,0.00017335033,0.00011980758],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004892302,0.0010289418,0.0005888602,0.0041326727,0.0025635592,0.0032065425,0.00091388804,0.0013624046,0.04163316],"category_scores_gemma":[0.0020130982,0.00070751086,0.0011160036,0.002282411,0.0024340404,0.00403465,0.0035298397,0.0020004713,0.0050351745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007771278,0.000029132012,0.0004576566,0.00010236617,0.000014095801,0.0010821988,0.00071747525,0.0009955758,0.0019664052,0.97215605,0.005268284,0.017133214],"study_design_scores_gemma":[0.000065885506,0.000033796714,0.0016189103,0.00011995353,0.000033913333,0.0011265826,0.0016258557,0.0070135198,0.004447001,0.9105261,0.07332122,0.000067295216],"about_ca_topic_score_codex":0.0017411048,"about_ca_topic_score_gemma":0.0017617767,"teacher_disagreement_score":0.04163316,"about_ca_system_score_codex":0.0018058065,"about_ca_system_score_gemma":0.0003588567,"threshold_uncertainty_score":0.1392768},"labels":[],"label_agreement":null},{"id":"W1664904202","doi":"10.1090/s0002-9939-04-07807-4","title":"K-theory tools for local and asymptotic cyclic cohomology","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Cohomology; Pure mathematics; Cyclic homology; Algebra over a field","score_opus":0.030118077392535924,"score_gpt":0.328700622950436,"score_spread":0.2985825455579001,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1664904202","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.077185094,0.0048066624,0.6111887,0.0033791466,0.0015036414,0.000091326,0.00063179765,0.0016614803,0.29955217],"genre_scores_gemma":[0.86398,0.0027416155,0.072336316,0.00094181445,0.0013207279,0.00014599174,0.0006538676,0.0005632594,0.057316445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884534,0.0003144608,0.00007686472,0.0002548486,0.0003259644,0.00018241805],"domain_scores_gemma":[0.99909186,0.00027396568,0.00007103564,0.00017724925,0.0002588717,0.00012698131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011604821,0.0009780714,0.0008126314,0.0038940979,0.0016640692,0.0027141918,0.0012999703,0.000991063,0.018388659],"category_scores_gemma":[0.002797719,0.00035918184,0.0011098689,0.0025882686,0.0035178058,0.008809476,0.003960646,0.0031280527,0.0033452956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000056599106,0.000008471288,0.00013166395,0.000047557452,0.0000052641226,0.000057962454,0.00027030456,0.0002985634,0.0004462557,0.98918074,0.0018858032,0.007661698],"study_design_scores_gemma":[0.000004219864,0.000013962341,0.00026958084,0.000021017102,0.000008070648,0.00013412458,0.00019235926,0.0029035844,0.00068021426,0.9811045,0.014653767,0.000014612243],"about_ca_topic_score_codex":0.0018138117,"about_ca_topic_score_gemma":0.0015704982,"teacher_disagreement_score":0.018388659,"about_ca_system_score_codex":0.0019497399,"about_ca_system_score_gemma":0.00072882895,"threshold_uncertainty_score":0.061516166},"labels":[],"label_agreement":null},{"id":"W1677183711","doi":"10.1090/s0002-9939-01-06035-x","title":"Fuglede’s conjecture for a union of two intervals","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":141,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Mathematics; Combinatorics","score_opus":0.045363973679785584,"score_gpt":0.3644115950791635,"score_spread":0.3190476213993779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1677183711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33768234,0.002525271,0.31075832,0.0078041092,0.001824983,0.00009506067,0.0013859285,0.0020277735,0.33589622],"genre_scores_gemma":[0.9298671,0.0006900447,0.039603468,0.0015574412,0.00079954125,0.00013812521,0.0017626482,0.00035210932,0.02522954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969252,0.00053705525,0.00020191939,0.0010767,0.0006290781,0.00063011056],"domain_scores_gemma":[0.993295,0.0040681837,0.00043722795,0.00081957376,0.0008688141,0.0005112549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025335697,0.0011093793,0.0013487982,0.0021730836,0.0036238434,0.004310822,0.0017359434,0.002303859,0.020324547],"category_scores_gemma":[0.0130755035,0.00091925584,0.0026635993,0.0015971115,0.004387193,0.009165798,0.004755112,0.0040490273,0.0034928406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016360132,0.000033870172,0.0011946391,0.00013066543,0.00003435942,0.00028680498,0.00073295087,0.0015487395,0.0009256854,0.9782154,0.0076639685,0.009069437],"study_design_scores_gemma":[0.000040353683,0.000042235846,0.00086456083,0.00007733863,0.000044683817,0.00029131147,0.00047439558,0.009450472,0.0013290278,0.97660464,0.010748819,0.000032113294],"about_ca_topic_score_codex":0.0028056244,"about_ca_topic_score_gemma":0.0017384737,"teacher_disagreement_score":0.020324547,"about_ca_system_score_codex":0.002290052,"about_ca_system_score_gemma":0.00076246646,"threshold_uncertainty_score":0.06799245},"labels":[],"label_agreement":null},{"id":"W1677185937","doi":"10.1090/s0002-9939-00-05921-9","title":"Double exponential sums over thin sets","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph 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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Modulo; Exponential function; Multiplicative function; Order (exchange); Prime (order theory); Omega; Physics; Mathematics; Mathematical analysis; Quantum mechanics","score_opus":0.01893596304647435,"score_gpt":0.2874381748797771,"score_spread":0.26850221183330275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1677185937","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05005365,0.0016244114,0.91982067,0.00094267336,0.0009657127,0.000092527,0.0013180576,0.0031268648,0.0220555],"genre_scores_gemma":[0.57558995,0.002445459,0.34791115,0.0012575617,0.0018057842,0.0006536914,0.008226997,0.007955793,0.054153614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9934058,0.00144178,0.00046877278,0.0013420264,0.0023299737,0.0010116415],"domain_scores_gemma":[0.95518255,0.025607731,0.0030611942,0.007054494,0.0070325364,0.0020615172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0074207126,0.0028965082,0.002138597,0.0056353956,0.0016147239,0.0053374963,0.004775304,0.002117753,0.02706034],"category_scores_gemma":[0.061967082,0.0013720676,0.0034018527,0.0034583583,0.0026751258,0.013515356,0.00612158,0.005785938,0.00863665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007482124,0.00026962656,0.011390456,0.0012171442,0.00047028484,0.0008283671,0.0006008556,0.09263462,0.0061017373,0.7050585,0.042281352,0.13839877],"study_design_scores_gemma":[0.000026039877,0.00010308887,0.002630296,0.00029829427,0.00015019067,0.00051423995,0.00019755855,0.56624943,0.0075675584,0.40631482,0.01584855,0.00009992126],"about_ca_topic_score_codex":0.0032614712,"about_ca_topic_score_gemma":0.0036042295,"teacher_disagreement_score":0.02706034,"about_ca_system_score_codex":0.0021981804,"about_ca_system_score_gemma":0.0018655359,"threshold_uncertainty_score":0.090525806},"labels":[],"label_agreement":null},{"id":"W1688316858","doi":"10.1090/s0002-9939-01-06120-2","title":"Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Killam Trusts","keywords":"Ordinary differential equation; Mathematics; Linear differential equation; Bounded function; Mathematical analysis; Exponential integrator; Component (thermodynamics); Differential algebraic equation; Applied mathematics; Differential equation; C0-semigroup; Linear system; Norm (philosophy); Physics; Thermodynamics","score_opus":0.06332391924294827,"score_gpt":0.3302912183717832,"score_spread":0.26696729912883493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1688316858","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50863,0.0010160983,0.45994478,0.0013488872,0.00036824335,0.000099688084,0.00011493172,0.00045883926,0.028018594],"genre_scores_gemma":[0.9116152,0.0005414521,0.07500565,0.00029867794,0.00011154311,0.00013786009,0.00013264728,0.00014170576,0.01201547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952054,0.000107756525,0.00003509858,0.00006989819,0.00019888928,0.00006779604],"domain_scores_gemma":[0.9985549,0.0007736271,0.00021722114,0.00013340086,0.00021132952,0.00010955207],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010519816,0.0007306416,0.0006950248,0.0008248063,0.0006555523,0.0013245071,0.00069522974,0.0012093432,0.0022484837],"category_scores_gemma":[0.0046668653,0.0004681558,0.00047224478,0.00057133666,0.0020784056,0.0016333775,0.0015766616,0.0014350325,0.00047834308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020247772,0.00006889903,0.002626738,0.00026455012,0.000093495415,0.0009955175,0.000893949,0.044918146,0.060806997,0.8572631,0.0023554035,0.029510785],"study_design_scores_gemma":[0.00007980657,0.00012730013,0.0023071917,0.0000671685,0.00005640248,0.00080050144,0.0004798565,0.3097214,0.018484691,0.6593006,0.008462857,0.000112183734],"about_ca_topic_score_codex":0.0002998547,"about_ca_topic_score_gemma":0.0004093678,"teacher_disagreement_score":0.0022484837,"about_ca_system_score_codex":0.00043434204,"about_ca_system_score_gemma":0.0002655038,"threshold_uncertainty_score":0.007521987},"labels":[],"label_agreement":null},{"id":"W1690572515","doi":"10.1090/s0002-9939-04-07583-5","title":"Reflection quotients in Riemannian geometry. A geometric converse to Chevalley’s theorem","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subring; Mathematics; Converse; Reflection group; Quotient; Pure mathematics; Euclidean geometry; Reflection (computer programming); Isoperimetric inequality; Product (mathematics); Ring (chemistry); Geometry","score_opus":0.022415821005475182,"score_gpt":0.3073911373093575,"score_spread":0.28497531630388234,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1690572515","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72622466,0.0028934085,0.148293,0.004797022,0.0003761604,0.000064206484,0.0003043565,0.00038964933,0.11665757],"genre_scores_gemma":[0.98206425,0.0006143446,0.0083483085,0.00023812267,0.00018802432,0.000023457907,0.00013637028,0.000045553727,0.008341528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994286,0.00011963211,0.00002706037,0.00015934762,0.00017221965,0.000093145325],"domain_scores_gemma":[0.99933285,0.00022668447,0.000097455806,0.00011256348,0.00010679863,0.0001237412],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085212855,0.00036579414,0.00040835325,0.00073770725,0.0008264116,0.0018752982,0.00039104276,0.00053172576,0.0035055182],"category_scores_gemma":[0.0017865144,0.00020847778,0.00061904016,0.00039465952,0.0036739174,0.003324475,0.0023832482,0.0014394164,0.00060249335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015596892,0.00000513752,0.00027943804,0.00001513695,0.000004117965,0.0000693464,0.00024050317,0.00023824863,0.0010149117,0.99385804,0.00045275912,0.0038068395],"study_design_scores_gemma":[0.000027600126,0.00005584228,0.0010993555,0.000009083329,0.000011416332,0.0004055608,0.00022190876,0.004165596,0.0023392201,0.9834099,0.008241645,0.0000130508615],"about_ca_topic_score_codex":0.0008536991,"about_ca_topic_score_gemma":0.000393785,"teacher_disagreement_score":0.0035055182,"about_ca_system_score_codex":0.00073204626,"about_ca_system_score_gemma":0.00033418872,"threshold_uncertainty_score":0.011727154},"labels":[],"label_agreement":null},{"id":"W1696764970","doi":"10.1090/s0002-9939-01-05979-2","title":"Sturm theorems for degenerate elliptic equations","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","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":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Degenerate energy levels; Mathematics; Identity (music); Applied mathematics; Pure mathematics; Calculus (dental); Mathematical analysis; Physics; Medicine","score_opus":0.021358440174840815,"score_gpt":0.265729750824333,"score_spread":0.24437131064949216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1696764970","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25051522,0.0023176132,0.53216046,0.0035168654,0.0006746473,0.00007098243,0.00035239765,0.00045530027,0.20993648],"genre_scores_gemma":[0.8541801,0.0013372623,0.09126881,0.0012825995,0.00050389435,0.00017226758,0.00039517978,0.00028184807,0.050578054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995869,0.00013307382,0.00002318049,0.000061127525,0.00014191959,0.000053819054],"domain_scores_gemma":[0.99944264,0.000183921,0.00007580312,0.000055301625,0.00015515937,0.0000871824],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012381485,0.00042054872,0.0005744855,0.0020219781,0.0009807111,0.001255635,0.000862981,0.0006607843,0.006598931],"category_scores_gemma":[0.0031601726,0.00019465698,0.0007882843,0.0008030357,0.0015318088,0.0024323517,0.0019365398,0.0012104075,0.0008410445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000003449504,0.0000026018563,0.00006092135,0.000016450747,0.000003411173,0.000026692169,0.000065186134,0.0005368274,0.00031592033,0.9957262,0.0006754069,0.002566831],"study_design_scores_gemma":[0.0000064260275,0.0000144165,0.0002144283,0.000012594925,0.0000029476384,0.00007619755,0.00004764703,0.013504287,0.00038427667,0.9832546,0.0024742978,0.00000787914],"about_ca_topic_score_codex":0.00084538397,"about_ca_topic_score_gemma":0.0009006964,"teacher_disagreement_score":0.006598931,"about_ca_system_score_codex":0.001326122,"about_ca_system_score_gemma":0.0005585185,"threshold_uncertainty_score":0.022075593},"labels":[],"label_agreement":null},{"id":"W1697906576","doi":"10.1090/s0002-9939-04-07370-8","title":"On embeddings of full amalgamated free product C*–algebras","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Free product; Product (mathematics); Chemistry; Mathematics; Computer science; Organic chemistry; Group (periodic table); Geometry","score_opus":0.019021513561224716,"score_gpt":0.30292021592316337,"score_spread":0.28389870236193865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1697906576","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42073447,0.002457565,0.33743995,0.0032576018,0.0010343088,0.000102697595,0.0008577011,0.0016685999,0.23244709],"genre_scores_gemma":[0.9254212,0.00072889193,0.03777164,0.00067292847,0.00028915974,0.00007399401,0.0006338487,0.00054757134,0.033860788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984725,0.00032303427,0.00009721149,0.00038605934,0.00040573333,0.0003154239],"domain_scores_gemma":[0.9980496,0.00063385663,0.00018179913,0.0003557781,0.0004337463,0.0003451264],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015358735,0.0008258707,0.000512797,0.0014051474,0.001745134,0.003379746,0.0011042504,0.0012532467,0.01382745],"category_scores_gemma":[0.004053229,0.00057373336,0.0010917026,0.00096761034,0.0028302704,0.00981028,0.0041075177,0.0022597269,0.0023573325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003045381,0.00001542706,0.00016114168,0.000042662923,0.000006736242,0.00010718506,0.00040765584,0.0006160719,0.0005472934,0.9926233,0.0010193413,0.004422678],"study_design_scores_gemma":[0.000009549173,0.00002698959,0.00018588448,0.000024308369,0.0000073089213,0.00010969862,0.00025960276,0.0030786386,0.000672273,0.98962325,0.005984996,0.000017406122],"about_ca_topic_score_codex":0.002243694,"about_ca_topic_score_gemma":0.0015523273,"teacher_disagreement_score":0.01382745,"about_ca_system_score_codex":0.0016499024,"about_ca_system_score_gemma":0.000547858,"threshold_uncertainty_score":0.046257377},"labels":[],"label_agreement":null},{"id":"W1699328520","doi":"10.1090/s0002-9939-05-07936-0","title":"A generalized Kakutani-Kodaira theorem","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics","score_opus":0.027728351061046555,"score_gpt":0.3304573451193519,"score_spread":0.30272899405830533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1699328520","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22636956,0.006092196,0.4772171,0.006048062,0.0021281797,0.00012494593,0.0006621419,0.00086331664,0.28049454],"genre_scores_gemma":[0.88785803,0.0023309768,0.061832506,0.0012931611,0.0013711628,0.00014403263,0.00029378873,0.00024011264,0.044636212],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995161,0.00008430151,0.000033230644,0.00013343761,0.00015050657,0.00008242976],"domain_scores_gemma":[0.9995846,0.000093519404,0.000043440323,0.000103954306,0.00010760466,0.00006688095],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066624495,0.0005726178,0.0007220061,0.0010471056,0.0016004909,0.001639165,0.0006908627,0.0006015544,0.006005622],"category_scores_gemma":[0.0009841003,0.00021375075,0.00097160565,0.00075640506,0.0024108593,0.003954055,0.002262047,0.0019342665,0.0009220146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011873187,0.0000044035028,0.00013649525,0.000046012723,0.00000767587,0.000085095875,0.00016943166,0.0003623512,0.0010153018,0.99212027,0.0014801753,0.0045608613],"study_design_scores_gemma":[0.000007806971,0.00001965317,0.00029424884,0.000013213377,0.000014685108,0.00028143075,0.00009364101,0.0023414039,0.00082454947,0.98094153,0.0151547985,0.000013060158],"about_ca_topic_score_codex":0.0005911362,"about_ca_topic_score_gemma":0.00049679895,"teacher_disagreement_score":0.006005622,"about_ca_system_score_codex":0.00055938744,"about_ca_system_score_gemma":0.00046929557,"threshold_uncertainty_score":0.020090759},"labels":[],"label_agreement":null},{"id":"W1706468526","doi":"10.1090/s0002-9939-04-07556-2","title":"Convergence in almost periodic cooperative systems with a first integral","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Convergence (economics); Bounded function; Conjecture; Skew; Periodic system; Product (mathematics); Integral equation; Applied mathematics; Mathematical analysis; Pure mathematics; Computer science; Geometry","score_opus":0.007367734374540984,"score_gpt":0.2018329549038753,"score_spread":0.1944652205293343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1706468526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6906609,0.000651389,0.2907779,0.00037952958,0.00008098565,0.000039800518,0.000034294815,0.0001314384,0.01724373],"genre_scores_gemma":[0.99259263,0.00015181763,0.005149443,0.000027968481,0.000022306202,0.000025102532,0.000014280625,0.000010082777,0.0020061878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996822,0.000073150295,0.000012606391,0.00006377326,0.00010375111,0.00006449313],"domain_scores_gemma":[0.99912053,0.00030647285,0.00020687965,0.00006818817,0.00017914464,0.000118789656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008493415,0.0003788473,0.0005589962,0.0007013735,0.00051506853,0.0008205899,0.00045853053,0.0005668868,0.0009945486],"category_scores_gemma":[0.0031244028,0.0001684586,0.00044964705,0.00024218713,0.0018589558,0.00102372,0.0012416643,0.0005578163,0.00010275173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012490463,0.000060943137,0.002900908,0.00015031446,0.000068988236,0.0007248591,0.0008230231,0.24027799,0.018934105,0.72075605,0.0006722305,0.014505674],"study_design_scores_gemma":[0.000017692486,0.00009313026,0.00069757,0.000019416835,0.000013361156,0.0001930383,0.00016103809,0.86254483,0.0016164649,0.13387702,0.00074760546,0.000018815099],"about_ca_topic_score_codex":0.0013363702,"about_ca_topic_score_gemma":0.000519516,"teacher_disagreement_score":0.0013363702,"about_ca_system_score_codex":0.0006821615,"about_ca_system_score_gemma":0.00048833987,"threshold_uncertainty_score":0.0049494505},"labels":[],"label_agreement":null},{"id":"W1712494729","doi":"10.1090/s0002-9939-04-07443-x","title":"Cohomology of symplectic reductions of generic coadjoint orbits","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Symplectic geometry; Cohomology; Pure mathematics; Mathematics; Algebra over a field","score_opus":0.026070813226561754,"score_gpt":0.29601100489423765,"score_spread":0.2699401916676759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1712494729","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73857075,0.000517993,0.042982273,0.001102742,0.00031349686,0.000056587844,0.0003956831,0.0005567975,0.2155037],"genre_scores_gemma":[0.9605513,0.00019789672,0.0037676147,0.00010917061,0.00015011131,0.000025733629,0.00028440464,0.00014791828,0.034765877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999608,0.000054679418,0.000016864038,0.000079316866,0.0001465923,0.00009452857],"domain_scores_gemma":[0.9997508,0.000052727435,0.00003306803,0.000040178882,0.00005624949,0.0000670593],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026773207,0.00046258813,0.0004272655,0.0013076601,0.001156116,0.0016527803,0.00053335895,0.00040258095,0.012007073],"category_scores_gemma":[0.000757985,0.00022015857,0.00051087915,0.0005538817,0.0015398148,0.0019134807,0.0021546981,0.0010461456,0.0015413278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003994482,0.000024056646,0.00044300695,0.000040459876,0.000009036018,0.00023300642,0.000557256,0.00083814067,0.0019624676,0.9867432,0.0018364957,0.007272866],"study_design_scores_gemma":[0.000035773297,0.00007409883,0.0022956938,0.000022063663,0.000016706259,0.00040541193,0.0006748841,0.011237246,0.0038532226,0.96427876,0.017079448,0.000026618833],"about_ca_topic_score_codex":0.0015547067,"about_ca_topic_score_gemma":0.0013620957,"teacher_disagreement_score":0.012007073,"about_ca_system_score_codex":0.0012144326,"about_ca_system_score_gemma":0.00039516154,"threshold_uncertainty_score":0.04016769},"labels":[],"label_agreement":null},{"id":"W1717630816","doi":"10.1090/s0002-9939-00-05567-2","title":"Convergence of cascade algorithms associated with nonhomogeneous refinement equations","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education - Singapore; National University of Singapore","keywords":"Cascade; Convergence (economics); Algorithm; Computer science; Applied mathematics; Mathematics; Mathematical optimization; Engineering","score_opus":0.010206735442980406,"score_gpt":0.2395773284951148,"score_spread":0.2293705930521344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1717630816","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037667975,0.0007148579,0.95223093,0.00046249386,0.0001255246,0.00009274317,0.0000697047,0.00023903717,0.008396738],"genre_scores_gemma":[0.64170915,0.0012489763,0.32698992,0.000348872,0.00021932753,0.00040695633,0.00039015754,0.00046095529,0.028225768],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986939,0.00049686147,0.00006898308,0.00022387531,0.00033522595,0.00018125738],"domain_scores_gemma":[0.9886164,0.008750526,0.0007916898,0.00044755058,0.0009996732,0.00039417815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036492862,0.0014516271,0.001467099,0.0016093358,0.0010051529,0.0018636838,0.0019794465,0.0020425704,0.0064143483],"category_scores_gemma":[0.015274979,0.0007811219,0.0014944111,0.00091582705,0.0024841723,0.0027591675,0.0035046674,0.0026139936,0.0008024368],"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":[0.00043882377,0.00012896814,0.0038742078,0.00037294437,0.00014380782,0.00025663717,0.00040831105,0.5561784,0.0046774093,0.3770137,0.0038691142,0.052637596],"study_design_scores_gemma":[0.000011645321,0.000022710934,0.00009828913,0.000010391291,0.000006732465,0.000013489588,0.000014372978,0.9823124,0.0004581406,0.016657285,0.00038740388,0.0000071096997],"about_ca_topic_score_codex":0.0099589275,"about_ca_topic_score_gemma":0.008381203,"teacher_disagreement_score":0.0099589275,"about_ca_system_score_codex":0.00223633,"about_ca_system_score_gemma":0.0019496517,"threshold_uncertainty_score":0.021458149},"labels":[],"label_agreement":null},{"id":"W1717897076","doi":"10.1090/s0002-9939-06-08369-9","title":"Simultaneous non-vanishing of twists","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Modulo; Modular form; Character (mathematics); Dirichlet distribution; Combinatorics; Prime (order theory); Context (archaeology); Generalization; Product (mathematics); Fixed point; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.017826527809950983,"score_gpt":0.3071698075969436,"score_spread":0.28934327978699265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1717897076","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2535993,0.0012549346,0.3000191,0.0036330628,0.005517346,0.00023127983,0.0011043824,0.0039243326,0.43071628],"genre_scores_gemma":[0.82194453,0.00071178377,0.035640106,0.0013873897,0.0012700383,0.00019664127,0.0007458893,0.0030543555,0.13504927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973302,0.0003759685,0.00011447264,0.00053278886,0.00082180364,0.00082484476],"domain_scores_gemma":[0.9973694,0.00063121156,0.0002502756,0.00069252076,0.00050624023,0.00055035617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012776825,0.0016063045,0.0013951475,0.003476162,0.0029698801,0.003897708,0.001700916,0.0019409427,0.049654536],"category_scores_gemma":[0.008312209,0.0010223292,0.001873324,0.0013043631,0.003745321,0.007614011,0.0065323077,0.0034480894,0.0071125166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016931,0.00004947439,0.00081430125,0.00015638751,0.00002751045,0.00065115246,0.0004178714,0.0013216777,0.0030694166,0.96435547,0.010131235,0.018836288],"study_design_scores_gemma":[0.000040049003,0.000061109444,0.0007558833,0.000074475334,0.00002772603,0.00063671084,0.00034375666,0.011752784,0.0038601256,0.9639278,0.018457655,0.000061842395],"about_ca_topic_score_codex":0.0012452127,"about_ca_topic_score_gemma":0.0019380843,"teacher_disagreement_score":0.049654536,"about_ca_system_score_codex":0.001940568,"about_ca_system_score_gemma":0.0011208112,"threshold_uncertainty_score":0.16611099},"labels":[],"label_agreement":null},{"id":"W1719284971","doi":"10.1090/s0002-9939-02-06742-4","title":"Invariant complementation and projectivity in the Fourier algebra","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Annotation; Invariant (physics); Semantics (computer science); Algorithm; Bounded function; Computer science; Algebra over a field; Mathematics; Artificial intelligence; Pure mathematics; Programming language","score_opus":0.0646998091605427,"score_gpt":0.34116818992875764,"score_spread":0.27646838076821495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1719284971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6209811,0.0007387541,0.27960035,0.0014646265,0.00025845377,0.00007695953,0.00024983517,0.0005573638,0.09607244],"genre_scores_gemma":[0.9710749,0.00027451915,0.016608212,0.00013817452,0.00018246676,0.000053754615,0.00016787661,0.00011084628,0.01138931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978707,0.0004922138,0.00007762934,0.00033597817,0.0007548541,0.0004685666],"domain_scores_gemma":[0.99786085,0.00072928675,0.0002495495,0.0002491132,0.0004959431,0.00041523992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016998871,0.0006061329,0.00076545746,0.0012020699,0.001551061,0.0020260524,0.0007971905,0.0005053356,0.007925469],"category_scores_gemma":[0.003577167,0.00025740615,0.001251287,0.000601262,0.0056400043,0.0055038715,0.0027975142,0.0019218681,0.0009476786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038600636,0.000024229492,0.0002793798,0.000027090959,0.000009068616,0.00010989075,0.00034755806,0.0006862653,0.0013283076,0.9937097,0.00026334537,0.0031764603],"study_design_scores_gemma":[0.000029383527,0.0001037987,0.00046594162,0.000015882926,0.00001164818,0.00030872054,0.00046493337,0.0077670496,0.0033301744,0.9836992,0.0037699204,0.00003327352],"about_ca_topic_score_codex":0.0014796547,"about_ca_topic_score_gemma":0.0006140715,"teacher_disagreement_score":0.007925469,"about_ca_system_score_codex":0.0012354655,"about_ca_system_score_gemma":0.0012374457,"threshold_uncertainty_score":0.026513398},"labels":[],"label_agreement":null},{"id":"W1732528558","doi":"10.1090/s0002-9939-06-08001-4","title":"Basis properties of eigenfunctions of the 𝑝-Laplacian","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Killam Trusts; Grantová Agentura České Republiky; University of Calgary","keywords":"Eigenfunction; Basis (linear algebra); Laplace operator; Mathematics; Mathematical analysis; Physics; Eigenvalues and eigenvectors; Geometry; Quantum mechanics","score_opus":0.021466783504938462,"score_gpt":0.2460843748499519,"score_spread":0.22461759134501344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1732528558","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12987109,0.0009878778,0.6625842,0.0021284882,0.00067094155,0.00012829395,0.0022955907,0.0013045561,0.20002897],"genre_scores_gemma":[0.80407417,0.0014073508,0.07184402,0.00067208824,0.0005810994,0.00039899186,0.0028416323,0.0021888413,0.11599182],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995216,0.00010275309,0.000024156283,0.00009510397,0.00016945905,0.000086911175],"domain_scores_gemma":[0.9986493,0.00041854667,0.000101439095,0.00013256625,0.0005454886,0.0001526652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070193294,0.00083014864,0.000519945,0.0021775952,0.001008357,0.0023875602,0.0008618219,0.00087200024,0.03459663],"category_scores_gemma":[0.0035192624,0.0003364031,0.0007743687,0.0010480074,0.0010532732,0.0025456923,0.0011351116,0.0015561195,0.0099592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042423577,0.000038766528,0.000409276,0.00010166749,0.000012862624,0.00008026271,0.00023598938,0.004284029,0.004137621,0.9512918,0.01598761,0.023377648],"study_design_scores_gemma":[0.000011517395,0.000024422865,0.00087668456,0.000036632933,0.0000069403786,0.00018839772,0.00024046897,0.07343869,0.0026231012,0.91256773,0.009946589,0.00003879196],"about_ca_topic_score_codex":0.0017160362,"about_ca_topic_score_gemma":0.0015630748,"teacher_disagreement_score":0.03459663,"about_ca_system_score_codex":0.00082471594,"about_ca_system_score_gemma":0.0007193232,"threshold_uncertainty_score":0.11573726},"labels":[],"label_agreement":null},{"id":"W1737867972","doi":"10.1090/s0002-9939-05-07581-7","title":"Algebraic isomorphisms and 𝒥-subspace lattices","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Subspace topology; Isomorphism (crystallography); Mathematics; Algebraic number; Combinatorics; Banach space; Rank (graph theory); Lattice (music); Space (punctuation); Discrete mathematics; Physics; Crystal structure; Mathematical analysis; Crystallography","score_opus":0.0096618621322246,"score_gpt":0.23622480279060823,"score_spread":0.22656294065838362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1737867972","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2420213,0.003275266,0.34636325,0.0052430313,0.0011082173,0.00013725468,0.0019535637,0.0014078959,0.3984902],"genre_scores_gemma":[0.8691008,0.0014224713,0.06533606,0.0007880304,0.00073172175,0.00016159743,0.0019502777,0.00034792183,0.0601611],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969387,0.00086881535,0.00019767735,0.0005877555,0.0009363598,0.0004707271],"domain_scores_gemma":[0.9975973,0.0006929697,0.00023095784,0.00031009407,0.0007950167,0.00037365145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013277605,0.00051796244,0.0006760651,0.0017374742,0.0021954586,0.0039702253,0.0007427354,0.0006027958,0.010178705],"category_scores_gemma":[0.0031395375,0.0003961301,0.001211891,0.0019129151,0.0039081573,0.0058922754,0.0033471119,0.0023078246,0.002150633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001605595,0.000010468431,0.000119189004,0.00002110714,0.0000051918164,0.00003030135,0.00020262614,0.00041114638,0.0002609927,0.9918297,0.0013777144,0.005715551],"study_design_scores_gemma":[0.000009085193,0.0000163754,0.00018258298,0.00001076969,0.0000034487516,0.00007372321,0.00021053407,0.0020397634,0.00045427398,0.9837505,0.013232052,0.00001671268],"about_ca_topic_score_codex":0.0028396768,"about_ca_topic_score_gemma":0.0020953703,"teacher_disagreement_score":0.010178705,"about_ca_system_score_codex":0.0022839438,"about_ca_system_score_gemma":0.0012550683,"threshold_uncertainty_score":0.03405118},"labels":[],"label_agreement":null},{"id":"W1764370864","doi":"10.1090/s0002-9939-04-07684-1","title":"Countably compact groups from a selective ultrafilter","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México; Consejo Nacional de Ciencia y Tecnología","keywords":"Ultrafilter; Mathematics; Countable set; Omega; Product (mathematics); Pure mathematics; Interval (graph theory); Discrete mathematics; Combinatorics; Physics; Geometry","score_opus":0.017485836572236426,"score_gpt":0.2901403370024051,"score_spread":0.2726545004301687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1764370864","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61725724,0.00047036726,0.3336036,0.00086510275,0.0001105089,0.000063705505,0.00015213578,0.00019249784,0.047284827],"genre_scores_gemma":[0.9378585,0.00025879493,0.05102633,0.00013508662,0.00012521574,0.00011079268,0.00022721695,0.00003881493,0.010219193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947804,0.0000862258,0.000031447085,0.000108801265,0.00020212586,0.000093483926],"domain_scores_gemma":[0.99870133,0.00048620685,0.00017145611,0.00022085215,0.000163252,0.00025688583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007788638,0.0006803575,0.0004304071,0.0010851719,0.00092950405,0.0013551409,0.00047728774,0.00051390065,0.0027682593],"category_scores_gemma":[0.001418458,0.00023432563,0.00077123736,0.0004315011,0.002465425,0.004220896,0.0035989457,0.0014473667,0.0003262441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096851916,0.000043823347,0.0007096235,0.00007035712,0.000020472435,0.00028130558,0.0009284236,0.0008486726,0.0155712515,0.9705702,0.00035892142,0.010500111],"study_design_scores_gemma":[0.00006849865,0.0002407878,0.0015555349,0.000034390636,0.00006405915,0.00086494465,0.0005945596,0.014864153,0.041135415,0.9233674,0.01717341,0.000036736084],"about_ca_topic_score_codex":0.00020864085,"about_ca_topic_score_gemma":0.00031950898,"teacher_disagreement_score":0.0027682593,"about_ca_system_score_codex":0.0006706547,"about_ca_system_score_gemma":0.00032420305,"threshold_uncertainty_score":0.009260714},"labels":[],"label_agreement":null},{"id":"W1780038108","doi":"10.1090/s0002-9939-01-06251-7","title":"On the secant varieties to the tangential varieties of a Veronesean","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Università di Bologna","keywords":"Mathematics; Tangent; Pure mathematics; Infinitesimal; Conjecture; Line (geometry); Quadratic equation; Mathematical analysis; Geometry","score_opus":0.03045666333862183,"score_gpt":0.29416563218783864,"score_spread":0.2637089688492168,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1780038108","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9626584,0.00065031846,0.013470589,0.00036516492,0.000102951664,0.00001915825,0.000100397185,0.00006102594,0.022571903],"genre_scores_gemma":[0.9856067,0.00070925645,0.005994024,0.000060580784,0.00017958328,0.000029564555,0.0002356875,0.000033362976,0.0071512912],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994967,0.00012392804,0.000028577017,0.00012522156,0.00010910587,0.00011638297],"domain_scores_gemma":[0.9984971,0.00031546777,0.00038821856,0.00012832796,0.00017166708,0.00049917516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073065865,0.0008399912,0.00058258564,0.0029432198,0.0014290315,0.0027483318,0.0006313201,0.00043578362,0.0047147204],"category_scores_gemma":[0.002556711,0.00035994986,0.0006122461,0.0010535693,0.0039226576,0.0037287346,0.0023086953,0.0017861172,0.00039455885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085519365,0.00003282351,0.0025949187,0.0000640789,0.000014050463,0.0001883847,0.00093032373,0.001740433,0.0029050019,0.9852819,0.00058049214,0.0055820597],"study_design_scores_gemma":[0.00003656988,0.0001444576,0.010390534,0.000084758896,0.000035805824,0.00083621446,0.0010236938,0.017365085,0.0021404014,0.9568148,0.011082723,0.00004497559],"about_ca_topic_score_codex":0.0011371359,"about_ca_topic_score_gemma":0.00084720686,"teacher_disagreement_score":0.0047147204,"about_ca_system_score_codex":0.0009782168,"about_ca_system_score_gemma":0.00028804567,"threshold_uncertainty_score":0.015772343},"labels":[],"label_agreement":null},{"id":"W1781547730","doi":"10.1090/s0002-9939-00-05914-1","title":"Lipschitz functions with maximal Clarke subdifferentials are generic","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":18,"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; Simon Fraser University","keywords":"Subderivative; Lipschitz continuity; Mathematics; Banach space; Separable space; Pure mathematics; Unit sphere; Mathematical analysis; Regular polygon; Geometry","score_opus":0.010208183800926768,"score_gpt":0.20906691749565068,"score_spread":0.1988587336947239,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1781547730","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48374692,0.001442242,0.47717512,0.0011580654,0.00011442542,0.00010478519,0.00031940386,0.0002763637,0.035662647],"genre_scores_gemma":[0.95641273,0.0008366003,0.03773016,0.00018081038,0.0000739585,0.00007198783,0.0002011463,0.000067978704,0.004424573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891067,0.00021323405,0.00007522876,0.00033019597,0.00025718508,0.00021340982],"domain_scores_gemma":[0.99744296,0.00082205306,0.0005840939,0.00035532186,0.00039042858,0.0004051681],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021314684,0.001400023,0.001372104,0.0015410673,0.0011759424,0.0024200964,0.0009279887,0.0013803153,0.0027127475],"category_scores_gemma":[0.0061381646,0.0007188911,0.0015666836,0.0012373192,0.0030396234,0.0036758184,0.003543923,0.00205638,0.00039946224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011412417,0.000021551543,0.0016089015,0.00015978211,0.000044641696,0.00027111947,0.00026038862,0.011130721,0.006948824,0.9654074,0.0007603849,0.013272211],"study_design_scores_gemma":[0.000044828288,0.00026285384,0.00331234,0.000091644135,0.00009147159,0.0015474671,0.00046047408,0.06584332,0.018434564,0.8962595,0.013591049,0.000060405553],"about_ca_topic_score_codex":0.00054579246,"about_ca_topic_score_gemma":0.00049011374,"teacher_disagreement_score":0.0027127475,"about_ca_system_score_codex":0.0012781906,"about_ca_system_score_gemma":0.0007005782,"threshold_uncertainty_score":0.011272371},"labels":[],"label_agreement":null},{"id":"W1789371518","doi":"10.1090/s0002-9939-03-07205-8","title":"Tight wavelet frames generated by three symmetric 𝐵-spline functions with high vanishing moments","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wavelet; Mathematics; Integer (computer science); Order (exchange); Mathematical analysis; Frame (networking); Combinatorics; Pure mathematics; Computer science; Artificial intelligence; Telecommunications","score_opus":0.0220870670050009,"score_gpt":0.27339249358753076,"score_spread":0.25130542658252986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1789371518","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03205812,0.00032290976,0.9564775,0.00019333242,0.00023685912,0.000019076077,0.00014437159,0.00025615926,0.010291661],"genre_scores_gemma":[0.5810115,0.0018303983,0.38009438,0.00021191109,0.00028385135,0.00010961798,0.0008573507,0.000593459,0.035007507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997664,0.000038619186,0.000012595219,0.00004858264,0.000090013666,0.00004380524],"domain_scores_gemma":[0.9996407,0.00008469466,0.000048330327,0.00006246576,0.000110826055,0.00005296246],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006444409,0.00080413226,0.0005386206,0.0011316377,0.00038942025,0.0015732102,0.00064537,0.0008056524,0.0064275577],"category_scores_gemma":[0.0017019453,0.00031917257,0.0008667657,0.0008804695,0.0007990992,0.0010764361,0.0010111223,0.0016541902,0.0023021563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025062158,0.000052039682,0.0005905803,0.0001635676,0.000038424645,0.0003580758,0.00032973115,0.07175305,0.033172097,0.77239275,0.00554236,0.1153567],"study_design_scores_gemma":[0.000035790326,0.0001189657,0.00095288944,0.000061932675,0.000045930625,0.0003044491,0.00020468945,0.77565813,0.016124194,0.18285762,0.023551757,0.000083648],"about_ca_topic_score_codex":0.0013649677,"about_ca_topic_score_gemma":0.0010922904,"teacher_disagreement_score":0.0064275577,"about_ca_system_score_codex":0.0006026769,"about_ca_system_score_gemma":0.00051710557,"threshold_uncertainty_score":0.021502316},"labels":[],"label_agreement":null},{"id":"W1794496119","doi":"10.1090/s0002-9939-05-07831-7","title":"Seiberg-Witten invariants and branched covers along tori","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Torus; Pure mathematics; Mathematics; Geometry","score_opus":0.017832513967393444,"score_gpt":0.26913574937124896,"score_spread":0.2513032354038555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1794496119","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9882677,0.000102414095,0.006056151,0.000033424574,0.000016038372,0.000007731384,0.00011338607,0.000118311604,0.005284927],"genre_scores_gemma":[0.99757034,0.00007510031,0.00119595,0.0000028354239,0.000010446775,0.0000049752184,0.00017934613,0.000019690848,0.00094121514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997893,0.000015628104,0.000009668296,0.000028924822,0.00006978209,0.000086815555],"domain_scores_gemma":[0.9994654,0.00012903387,0.00012824725,0.000051599203,0.00007010588,0.00015572459],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035063876,0.00093510066,0.0005707494,0.0052817874,0.0009664968,0.002028576,0.00073656015,0.00043367821,0.0028278816],"category_scores_gemma":[0.0016867605,0.0003420835,0.0004854739,0.0017975698,0.0013538613,0.0024329466,0.0012360623,0.0006689267,0.00029507637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005757199,0.0003332429,0.044591445,0.0002720554,0.00018530124,0.0023046746,0.0019541862,0.1566743,0.028753312,0.7209803,0.0022267334,0.04114877],"study_design_scores_gemma":[0.000049398153,0.00024009724,0.031136427,0.0000830198,0.00009800836,0.000694448,0.0014674255,0.5172649,0.026014721,0.41907108,0.0037727759,0.00010766288],"about_ca_topic_score_codex":0.0015567029,"about_ca_topic_score_gemma":0.0021863054,"teacher_disagreement_score":0.0052817874,"about_ca_system_score_codex":0.0009607332,"about_ca_system_score_gemma":0.00026954905,"threshold_uncertainty_score":0.009460211},"labels":[],"label_agreement":null},{"id":"W1795440635","doi":"10.1090/s0002-9939-03-07015-1","title":"Existence of solutions to projected differential equations in Hilbert spaces","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":67,"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 Guelph; Queen's University","funders":"","keywords":"Lipschitz continuity; Mathematics; Uniqueness; Hilbert space; Vector field; Dimension (graph theory); Mathematical analysis; Locally convex topological vector space; Regular polygon; Pure mathematics; Field (mathematics); Normed vector space; Geometry","score_opus":0.047556067806546684,"score_gpt":0.31351043549700963,"score_spread":0.26595436769046293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1795440635","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21357647,0.00070292235,0.77419865,0.0012361108,0.00015799222,0.00011901689,0.00011482587,0.0001951323,0.0096989265],"genre_scores_gemma":[0.8498051,0.0013504275,0.13658737,0.00019169379,0.00014498192,0.00025905835,0.0002210879,0.00013174268,0.011308651],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991679,0.0002182872,0.000049461443,0.0001387539,0.00028436698,0.00014134223],"domain_scores_gemma":[0.9976509,0.0008808209,0.000290281,0.00011852616,0.000662427,0.00039703093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018497435,0.001104555,0.0009903385,0.001266231,0.0010147048,0.0027164617,0.0011002435,0.0018652919,0.0023850459],"category_scores_gemma":[0.009552624,0.0007004347,0.0009346923,0.00079044275,0.0034760348,0.004808324,0.004823178,0.0030518498,0.0003730735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006732512,0.000037952348,0.0005388371,0.00014670393,0.00002639403,0.00023674862,0.000532656,0.017065004,0.0077858535,0.96275604,0.00059154193,0.010214877],"study_design_scores_gemma":[0.000045667573,0.00011752135,0.00028026933,0.00006796348,0.000015450622,0.0002967613,0.0003524022,0.25687683,0.007691767,0.7310671,0.0031469022,0.0000413815],"about_ca_topic_score_codex":0.00048293304,"about_ca_topic_score_gemma":0.00024251732,"teacher_disagreement_score":0.0027164617,"about_ca_system_score_codex":0.0010336274,"about_ca_system_score_gemma":0.0010982058,"threshold_uncertainty_score":0.009782493},"labels":[],"label_agreement":null},{"id":"W1797314220","doi":"10.1090/proc/12764","title":"A convergence theorem for harmonic measures with applications to Taylor series","year":2015,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Taylor series; Mathematics; Holomorphic function; Subsequence; Convergence (economics); Harmonic function; Series (stratigraphy); Unit circle; Boundary (topology); Unit (ring theory); Taylor's theorem; Function (biology); Mathematical analysis; Harmonic; Limit (mathematics); Pure mathematics; Taylor rule; Discrete mathematics; Combinatorics; Physics; Monetary policy; Quantum mechanics","score_opus":0.04482996148635774,"score_gpt":0.29794322717896365,"score_spread":0.2531132656926059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1797314220","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0148825385,0.004410688,0.86577594,0.0035935014,0.0014689391,0.00008381884,0.000490895,0.00074361434,0.10855011],"genre_scores_gemma":[0.41716,0.014043913,0.3749062,0.0030599271,0.005470721,0.0010246511,0.001488347,0.0044825827,0.17836364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998151,0.00068649056,0.00010563165,0.00033423168,0.00055000745,0.00017258707],"domain_scores_gemma":[0.990395,0.0060475403,0.0003764446,0.0005197078,0.0022252686,0.00043612276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00480299,0.0016670846,0.0014156967,0.0044109738,0.0017629476,0.0033108662,0.0020914585,0.0014554419,0.01937035],"category_scores_gemma":[0.020330628,0.00065984257,0.0027301046,0.0025932193,0.0028190303,0.0064686267,0.004322935,0.0055651176,0.005517329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017870383,0.000014311625,0.00017625799,0.00013184569,0.000022518483,0.00009241897,0.00024172643,0.0024207896,0.0006005939,0.97147983,0.0063336683,0.018468201],"study_design_scores_gemma":[0.00001337383,0.000030110179,0.00039203741,0.00008806691,0.00002630292,0.00022182542,0.00013096377,0.054644503,0.00095393683,0.91751266,0.02595278,0.000033518718],"about_ca_topic_score_codex":0.0033224972,"about_ca_topic_score_gemma":0.0022947667,"teacher_disagreement_score":0.01937035,"about_ca_system_score_codex":0.002424799,"about_ca_system_score_gemma":0.0014814291,"threshold_uncertainty_score":0.06480026},"labels":[],"label_agreement":null},{"id":"W1801982364","doi":"10.1090/s0002-9939-00-06021-4","title":"Trigonometric polynomials with many real zeros and a Littlewood-type problem","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Trigonometric polynomial; Unimodular matrix; Trigonometry; Flatness (cosmology); Polynomial; Pure mathematics; Type (biology); Discrete mathematics; Combinatorics; Mathematical analysis; Physics","score_opus":0.01998799053935668,"score_gpt":0.2666682709603996,"score_spread":0.2466802804210429,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1801982364","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6434493,0.002149068,0.19240609,0.010564206,0.0008157272,0.000100274556,0.0014197755,0.0010204592,0.14807503],"genre_scores_gemma":[0.9478713,0.00052715914,0.033004653,0.0005632248,0.00048507933,0.00007020333,0.00079184346,0.0003902369,0.016296238],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986885,0.00038886702,0.000049900304,0.00024386392,0.00033969217,0.000289242],"domain_scores_gemma":[0.9850464,0.011734082,0.00085145497,0.0008571409,0.0007750205,0.0007359156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026135945,0.0007557329,0.0010893838,0.0014760485,0.0016104578,0.0029184099,0.0015486534,0.0013031978,0.018106371],"category_scores_gemma":[0.020408936,0.00044963037,0.0010858673,0.0013939735,0.003178287,0.00739476,0.0018712209,0.002537034,0.0017019714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007116345,0.000113300215,0.002353185,0.00033080322,0.000038382244,0.00057005545,0.00034042404,0.017940423,0.0028047008,0.9388728,0.01405482,0.021869468],"study_design_scores_gemma":[0.00008331098,0.00008727336,0.0010951847,0.00005622939,0.000028228513,0.0003413928,0.00021816164,0.07772921,0.0022876603,0.9129039,0.00511724,0.000052208812],"about_ca_topic_score_codex":0.0016505443,"about_ca_topic_score_gemma":0.0013115972,"teacher_disagreement_score":0.018106371,"about_ca_system_score_codex":0.001492003,"about_ca_system_score_gemma":0.0012808564,"threshold_uncertainty_score":0.06057185},"labels":[],"label_agreement":null},{"id":"W1805863019","doi":"10.1090/proc/14154","title":"Equivalences of families of stacky toric Calabi-Yau hypersurfaces","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"University of Alberta","funders":"Division of Mathematical Sciences; Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; University of Alberta; National Science Foundation","keywords":"Mathematics; Quartic function; Unification; Pure mathematics; Equivalence (formal languages); Calabi–Yau manifold; Algebra over a field; Computer science","score_opus":0.033527197403438895,"score_gpt":0.30240657120556325,"score_spread":0.26887937380212434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1805863019","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6628944,0.0009194586,0.11543155,0.0012278473,0.00053961144,0.0001209446,0.0007237242,0.0005755534,0.21756682],"genre_scores_gemma":[0.9582634,0.0004978381,0.014348372,0.00020300328,0.00020741898,0.000117570205,0.00065697427,0.00022883073,0.025476502],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874735,0.00022535422,0.00007189248,0.00025458753,0.00043020662,0.00027064126],"domain_scores_gemma":[0.9992982,0.0002051913,0.00007783083,0.00009681022,0.00020378368,0.000118149],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008861168,0.0004178339,0.0005214153,0.002355909,0.002563157,0.0028430056,0.0008007166,0.0006208228,0.014452844],"category_scores_gemma":[0.0021775963,0.00042094383,0.0009885173,0.0009100747,0.002267005,0.0044151368,0.0024826368,0.0017400251,0.0012138243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002293174,0.000011413127,0.00027420573,0.000020916776,0.000008321674,0.00018111052,0.00037669163,0.00029551852,0.0005701111,0.99272776,0.0008809479,0.0046301],"study_design_scores_gemma":[0.000034593057,0.00004775148,0.0019312139,0.00004298164,0.000033636286,0.0006418624,0.0009775219,0.0039268117,0.0030078853,0.9673021,0.022017267,0.0000365203],"about_ca_topic_score_codex":0.0015092079,"about_ca_topic_score_gemma":0.00092857814,"teacher_disagreement_score":0.014452844,"about_ca_system_score_codex":0.0018212836,"about_ca_system_score_gemma":0.0005222191,"threshold_uncertainty_score":0.04834956},"labels":[],"label_agreement":null},{"id":"W1820659494","doi":"10.1090/s0002-9939-2012-11201-8","title":"Transcendental values of class group 𝐿-functions, II","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Transcendental number; Group (periodic table); Class (philosophy); Transcendental function; Mathematics; Psychology; Pure mathematics; Philosophy; Physics; Mathematical analysis; Epistemology","score_opus":0.019323131747755413,"score_gpt":0.27164383710995715,"score_spread":0.25232070536220175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1820659494","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1178771,0.0031749373,0.12742378,0.0034425987,0.002683795,0.000073933385,0.0011338042,0.001142079,0.74304783],"genre_scores_gemma":[0.73953027,0.0017906498,0.0244589,0.00078975194,0.0020274222,0.00013226796,0.0010703773,0.00092282845,0.22927755],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993635,0.00010798688,0.000024636767,0.00016784297,0.0001830925,0.00015297178],"domain_scores_gemma":[0.99931884,0.00016059692,0.00006484824,0.00010627531,0.00021742091,0.00013203076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007179148,0.0008442839,0.0005395982,0.0019840496,0.0015454907,0.004061682,0.0008352598,0.00060091686,0.018390682],"category_scores_gemma":[0.0019902466,0.00027155018,0.0007834623,0.00094129314,0.002456489,0.0043044942,0.0014974223,0.0026076809,0.0058042873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000358556,0.000013944398,0.00013823783,0.000039168648,0.00000729145,0.000047749843,0.00024673232,0.00024106851,0.0007718732,0.98105556,0.00668115,0.010721443],"study_design_scores_gemma":[0.000021067088,0.000036502173,0.0006370635,0.000043772667,0.000011790144,0.00021264976,0.00026807436,0.0022375288,0.0025962398,0.9406906,0.05321707,0.000027613947],"about_ca_topic_score_codex":0.0014589438,"about_ca_topic_score_gemma":0.0009075362,"teacher_disagreement_score":0.018390682,"about_ca_system_score_codex":0.0025041634,"about_ca_system_score_gemma":0.0006778687,"threshold_uncertainty_score":0.06152296},"labels":[],"label_agreement":null},{"id":"W1822231104","doi":"10.1090/s0002-9939-02-06918-6","title":"On the correspondence of representations between 𝐺𝐿(𝑛) and division algebras","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Division (mathematics); Algebra over a field; Mathematics; Pure mathematics; Psychology; Arithmetic","score_opus":0.04029443495928326,"score_gpt":0.3085783332711729,"score_spread":0.26828389831188965,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1822231104","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.106421076,0.0020255735,0.48893556,0.005619649,0.0009681098,0.000104460625,0.0011571855,0.0011966875,0.39357162],"genre_scores_gemma":[0.8376928,0.001840107,0.090465404,0.0020561027,0.00089871517,0.00024309075,0.001525124,0.0008281105,0.06445057],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976609,0.0007816168,0.00013871952,0.00050854834,0.0005528704,0.00035743654],"domain_scores_gemma":[0.997056,0.0013893569,0.00026494954,0.00050059415,0.0005473008,0.00024181655],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023534533,0.000661437,0.0006688435,0.0018356108,0.002602409,0.0057055857,0.0014374809,0.0018957512,0.018259473],"category_scores_gemma":[0.008177824,0.00062714354,0.0013925338,0.0025878514,0.003946638,0.013975502,0.004243682,0.0039316015,0.004470075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014585367,0.000007549706,0.000046585483,0.0000114062295,0.0000021797216,0.000025748745,0.00016950324,0.0001785215,0.00012123004,0.99480337,0.0012728333,0.0033463766],"study_design_scores_gemma":[0.000006897241,0.000008110436,0.000065053166,0.000015161815,0.0000029237917,0.000043859618,0.00008301396,0.0012982411,0.00022055548,0.9934563,0.004792538,0.000007488991],"about_ca_topic_score_codex":0.0017734466,"about_ca_topic_score_gemma":0.0012558055,"teacher_disagreement_score":0.018259473,"about_ca_system_score_codex":0.0022269313,"about_ca_system_score_gemma":0.0010541511,"threshold_uncertainty_score":0.061083972},"labels":[],"label_agreement":null},{"id":"W1835280927","doi":"10.1090/s0002-9939-06-08323-7","title":"Maximality of sums of two maximal monotone operators","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotone polygon; Mathematics; Banach space; Transversality; Pure mathematics; Regular polygon; Pseudo-monotone operator; Function space; Space (punctuation); Discrete mathematics; Function (biology); Finite-rank operator; Computer science","score_opus":0.008758250004021712,"score_gpt":0.24374301862269335,"score_spread":0.23498476861867162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1835280927","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32120302,0.0008806184,0.6516709,0.0008618128,0.00024665706,0.00009220545,0.00018439764,0.00023453603,0.024625892],"genre_scores_gemma":[0.8981104,0.0005061035,0.090454936,0.00023105746,0.0002804383,0.00016919282,0.00018533313,0.0001643988,0.009898197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99620456,0.00090057304,0.00026537292,0.0008546889,0.0012481626,0.00052665995],"domain_scores_gemma":[0.9927942,0.0037596403,0.0007296466,0.0003221383,0.0011431273,0.0012511641],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038211772,0.0012627123,0.0012738258,0.0024108514,0.0014430459,0.0031149744,0.00156494,0.0010963336,0.003215275],"category_scores_gemma":[0.009196222,0.0007811733,0.002239927,0.00096074876,0.0042967554,0.005813964,0.0060917474,0.00325996,0.0003570942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015412415,0.000036602734,0.00074807426,0.00014739146,0.00008995504,0.00039428225,0.0004619645,0.0042178975,0.0147818,0.971115,0.00046206187,0.007390819],"study_design_scores_gemma":[0.000024235742,0.00014122696,0.00042637455,0.000032085958,0.000043202574,0.00051416125,0.00018748704,0.04932338,0.009205244,0.9378892,0.0021635448,0.000049793245],"about_ca_topic_score_codex":0.00029926063,"about_ca_topic_score_gemma":0.00024540036,"teacher_disagreement_score":0.0038211772,"about_ca_system_score_codex":0.0011888836,"about_ca_system_score_gemma":0.00083910284,"threshold_uncertainty_score":0.020208597},"labels":[],"label_agreement":null},{"id":"W1841466495","doi":"10.1090/s0002-9939-05-08244-4","title":"On complex and noncommutative tori","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Noncommutative geometry; Morphism; Mathematics; Noncommutative algebraic geometry; Torus; Morita equivalence; Pure mathematics; Elliptic curve; Rigidity (electromagnetism); Noncommutative quantum field theory; Algebraic number; Algebra over a field; Mathematical analysis; Geometry; Physics; Quantum mechanics","score_opus":0.04300226215948578,"score_gpt":0.36176882061758686,"score_spread":0.3187665584581011,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1841466495","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8005035,0.0068216003,0.044724435,0.002583247,0.00047403088,0.00005439802,0.0002817527,0.00012984323,0.14442722],"genre_scores_gemma":[0.9775968,0.0014054399,0.0062925187,0.00009749366,0.00031360157,0.00004123652,0.0001359821,0.000032873733,0.014084025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991049,0.0002063513,0.00004824688,0.00018432055,0.00031505383,0.00014112538],"domain_scores_gemma":[0.99916613,0.00022237847,0.00021220797,0.00014466111,0.0000880329,0.00016657983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006855279,0.00084552134,0.00060783373,0.0020607018,0.0024339026,0.0029445663,0.0008503761,0.0010604479,0.0047875745],"category_scores_gemma":[0.001574233,0.00050689385,0.00049523445,0.0014553394,0.005391623,0.004539065,0.0031800582,0.0016524863,0.0006821426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009471832,0.000009079258,0.00018998863,0.000025600835,0.0000033141114,0.00013742787,0.00031806974,0.0007362596,0.0006154604,0.9956683,0.00026467998,0.00202249],"study_design_scores_gemma":[0.000008411145,0.00001993347,0.0012044413,0.000020928801,0.0000041773096,0.0003424014,0.00027404146,0.0043481546,0.0004884404,0.9879824,0.005288177,0.000018607947],"about_ca_topic_score_codex":0.00075298647,"about_ca_topic_score_gemma":0.0005148609,"teacher_disagreement_score":0.0047875745,"about_ca_system_score_codex":0.001421085,"about_ca_system_score_gemma":0.00047425038,"threshold_uncertainty_score":0.016016006},"labels":[],"label_agreement":null},{"id":"W1848352190","doi":"10.1090/s0002-9939-02-06851-x","title":"Hecke algebras of semidirect products","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Deutsche Forschungsgemeinschaft","keywords":"Semidirect product; Hecke algebra; Mathematics; Pure mathematics; Group (periodic table); Wreath product; Hecke operator; Algebra over a field; Product (mathematics); Chemistry; Modular form; Geometry","score_opus":0.045165443590517454,"score_gpt":0.3115306527555276,"score_spread":0.26636520916501016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1848352190","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5961639,0.0017406268,0.17177363,0.0011668092,0.0005797481,0.00015514717,0.00033997785,0.00055609614,0.22752403],"genre_scores_gemma":[0.95886815,0.0005068308,0.017629324,0.00018524697,0.00022633103,0.00006445871,0.00019273956,0.000052638024,0.022274302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988035,0.00024656623,0.00008568462,0.00022736158,0.00034410256,0.00029273456],"domain_scores_gemma":[0.99904937,0.00018646299,0.00016492348,0.00014091955,0.0001844626,0.00027384015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011919332,0.00063525117,0.00053477724,0.0013945888,0.002090768,0.0029856053,0.00055818964,0.00065638754,0.010213199],"category_scores_gemma":[0.0018217587,0.00034561427,0.0008619036,0.0010580019,0.0028585733,0.0059637874,0.0023603623,0.0010537539,0.001734506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026071955,0.0000190203,0.00018356224,0.00002168831,0.0000050651265,0.00014632137,0.00043360493,0.00023779085,0.0009334105,0.99560475,0.00035824918,0.0020306003],"study_design_scores_gemma":[0.000017771354,0.000043143704,0.00020997936,0.000012783685,0.0000092898945,0.00031310474,0.00037403413,0.0014455604,0.0026454458,0.9891746,0.0057391427,0.000015171578],"about_ca_topic_score_codex":0.00067108177,"about_ca_topic_score_gemma":0.00047066036,"teacher_disagreement_score":0.010213199,"about_ca_system_score_codex":0.00082466996,"about_ca_system_score_gemma":0.0007724303,"threshold_uncertainty_score":0.034166574},"labels":[],"label_agreement":null},{"id":"W1851206479","doi":"10.1090/s0002-9939-05-08211-0","title":"On a conjecture about MRA Riesz wavelet bases","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National University of Singapore; University of Alberta","keywords":"Conjecture; Riesz transform; Wavelet; Mathematics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.020624635542967347,"score_gpt":0.3028986773397918,"score_spread":0.28227404179682447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1851206479","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14062087,0.005534618,0.5482004,0.03329293,0.003733766,0.00009316668,0.0012468013,0.0015257121,0.2657517],"genre_scores_gemma":[0.8008104,0.0049820244,0.09686273,0.005190505,0.0042708395,0.00025025764,0.0018875832,0.00096110837,0.08478461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987066,0.00033214295,0.000067773086,0.00029072678,0.00039751243,0.00020530503],"domain_scores_gemma":[0.99377066,0.0035349296,0.00044854492,0.00093379384,0.00084942736,0.0004627089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037767298,0.0012081031,0.0010993911,0.0022423228,0.0019043302,0.004078506,0.0017056713,0.002844953,0.020545762],"category_scores_gemma":[0.02304453,0.0006511739,0.0014448129,0.0017263991,0.004224282,0.0075721364,0.0040901317,0.0066411193,0.0052622277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006014653,0.000015676085,0.00023283852,0.00004710791,0.000007385999,0.00007198748,0.00013113626,0.0012866121,0.00037426964,0.97972107,0.007274123,0.010777742],"study_design_scores_gemma":[0.000015368494,0.000026707368,0.0003496769,0.000046398432,0.0000072017083,0.00009343727,0.0000925325,0.016297335,0.00035389664,0.9749681,0.0077303704,0.000018897605],"about_ca_topic_score_codex":0.0020069631,"about_ca_topic_score_gemma":0.0011027403,"teacher_disagreement_score":0.020545762,"about_ca_system_score_codex":0.0014963355,"about_ca_system_score_gemma":0.00082657463,"threshold_uncertainty_score":0.06873238},"labels":[],"label_agreement":null},{"id":"W1858695574","doi":"10.1090/s0002-9939-00-05635-5","title":"Desynchronization of large scale delayed neural networks","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Neural Networks Stability and Synchronization","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Scalar (mathematics); Differential equation; Mathematics; Mathematical analysis; Delay differential equation; Ring (chemistry); Scale (ratio); Inhibitory postsynaptic potential; Control theory (sociology); Negative feedback; Physics; Computer science; Neuroscience; Geometry; Chemistry; Quantum mechanics; Psychology","score_opus":0.006448348064432409,"score_gpt":0.22637744368925655,"score_spread":0.21992909562482416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1858695574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78042185,0.00028056826,0.21131635,0.00030659593,0.00006643578,0.000021931,0.00005018127,0.00014787827,0.007388123],"genre_scores_gemma":[0.9969591,0.00006881283,0.0018967135,0.000014077963,0.000011980043,0.0000097444545,0.000010805658,0.000006708004,0.001022046],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999001,0.000025227286,0.0000050453514,0.000031059164,0.000022753644,0.00001585515],"domain_scores_gemma":[0.9996985,0.00008343413,0.0001106525,0.000031984044,0.000036634967,0.000038826533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024472395,0.00023733593,0.00025858663,0.00021135228,0.00022396365,0.00038519473,0.00041138352,0.00026517163,0.001071449],"category_scores_gemma":[0.0013319426,0.00013476473,0.00017848135,0.00012167663,0.0004758838,0.0005567619,0.00055788195,0.00027655918,0.00010301427],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040367342,0.00006989991,0.00366934,0.00010210532,0.00010091268,0.00084174576,0.00030160235,0.69059736,0.10953859,0.17299943,0.0009498493,0.020425554],"study_design_scores_gemma":[0.000022708335,0.000057116744,0.0007877245,0.0000027325564,0.000009766901,0.000063140345,0.000030607105,0.9779099,0.0024968146,0.018172592,0.0004385639,0.000008379846],"about_ca_topic_score_codex":0.0006998772,"about_ca_topic_score_gemma":0.00049439137,"teacher_disagreement_score":0.001071449,"about_ca_system_score_codex":0.0003140491,"about_ca_system_score_gemma":0.0001435581,"threshold_uncertainty_score":0.003584385},"labels":[],"label_agreement":null},{"id":"W1864989511","doi":"10.1090/s0002-9939-05-08155-4","title":"The remainder in Weyl’s law for 𝑛-dimensional Heisenberg manifolds","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"McGill University; City University of New York; National Science Foundation","keywords":"Remainder; Mathematics; Pure mathematics; Algebra over a field; Arithmetic","score_opus":0.017184053845930674,"score_gpt":0.27237189559961,"score_spread":0.2551878417536793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1864989511","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2184348,0.002228268,0.25794742,0.009683241,0.0027725531,0.00007618906,0.0005564277,0.0013756821,0.50692546],"genre_scores_gemma":[0.8919927,0.0011186381,0.02472949,0.0013833441,0.0012834853,0.00008605288,0.0002903723,0.0007685992,0.07834738],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866474,0.00021177929,0.000068076115,0.00026952787,0.00055234635,0.00023343672],"domain_scores_gemma":[0.99869555,0.00040436786,0.00012934879,0.00032658884,0.00032666707,0.00011754474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017661317,0.0008498565,0.0007666839,0.0015267332,0.0018075997,0.0027884422,0.0013324433,0.0011671091,0.011037155],"category_scores_gemma":[0.0061095553,0.00032374746,0.0008776255,0.000742163,0.005115852,0.0066503235,0.0022369619,0.0030946382,0.003331681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009498086,0.000004692513,0.00007640123,0.00001750324,0.0000023089285,0.000037342485,0.000118719225,0.00030890873,0.00018022695,0.9945129,0.0018020566,0.0029293715],"study_design_scores_gemma":[0.0000067333494,0.000013736188,0.00020649184,0.000018371535,0.000004711694,0.000059890303,0.000052804993,0.0036669613,0.00066577474,0.98746395,0.007827395,0.000013112626],"about_ca_topic_score_codex":0.003392576,"about_ca_topic_score_gemma":0.0013068215,"teacher_disagreement_score":0.011037155,"about_ca_system_score_codex":0.0020398458,"about_ca_system_score_gemma":0.0008975643,"threshold_uncertainty_score":0.03692293},"labels":[],"label_agreement":null},{"id":"W1877472578","doi":"10.1090/s0002-9939-04-07512-4","title":"The strong no loop conjecture for special biserial algebras","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Loop (graph theory); Conjecture; Mathematics; Pure mathematics; Algebra over a field; Programming language; Computer science; Combinatorics","score_opus":0.017512361938226167,"score_gpt":0.27724075036971635,"score_spread":0.25972838843149015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1877472578","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5789069,0.001489391,0.26272663,0.0060264966,0.0008614292,0.00012691313,0.00035966246,0.00086745305,0.14863518],"genre_scores_gemma":[0.9805696,0.00035314893,0.012386467,0.0005515085,0.00056135934,0.000044931257,0.0002839483,0.00006636079,0.005182794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781704,0.00048644902,0.00017447218,0.00051492074,0.00058881694,0.00041827644],"domain_scores_gemma":[0.9919933,0.003236127,0.0009854925,0.0017976839,0.001160715,0.00082664797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002315308,0.00080714555,0.0012943933,0.0014978175,0.0040654684,0.0043498413,0.0018510558,0.0025820914,0.006311119],"category_scores_gemma":[0.011481297,0.00065417547,0.0014214504,0.0012870394,0.0052330797,0.01352268,0.004572985,0.0040631774,0.0010300208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050676797,0.000032592427,0.0007428328,0.0000670542,0.00001214816,0.00012747303,0.00017412484,0.0009272189,0.00085052,0.99153113,0.0014796124,0.0040046023],"study_design_scores_gemma":[0.0000057253837,0.000007264872,0.00006880686,0.000006309579,0.0000055629184,0.000103169456,0.000039669372,0.0031768128,0.00052934105,0.9949968,0.001053339,0.0000072324297],"about_ca_topic_score_codex":0.00037645228,"about_ca_topic_score_gemma":0.00055866153,"teacher_disagreement_score":0.006311119,"about_ca_system_score_codex":0.0008140738,"about_ca_system_score_gemma":0.0005787803,"threshold_uncertainty_score":0.0211128},"labels":[],"label_agreement":null},{"id":"W1885231901","doi":"10.1090/proc/13189","title":"Projectively universal countable metrizable groups","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Metrization theorem; Countable set; Mathematics; Quotient; Group (periodic table); Topological group; Quotient group; Pure mathematics; Combinatorics; Discrete mathematics; Topology (electrical circuits); Cyclic group; Separable space; Physics; Mathematical analysis","score_opus":0.026598428706776815,"score_gpt":0.30292319521072714,"score_spread":0.2763247665039503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1885231901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4603844,0.00083065045,0.27379608,0.0043295943,0.00043963897,0.00011453355,0.0010256999,0.0017887651,0.25729057],"genre_scores_gemma":[0.94765407,0.00028247424,0.019204764,0.00033379468,0.00024853015,0.00009390613,0.0007309885,0.00019993876,0.03125159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877506,0.000259857,0.000057058896,0.00036308626,0.0003110624,0.00023385315],"domain_scores_gemma":[0.99830073,0.00052473834,0.00024492736,0.00031375512,0.00030320243,0.00031271673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008130977,0.0008500678,0.0005102608,0.001134121,0.0016662024,0.002387257,0.00078762166,0.0005437199,0.015512019],"category_scores_gemma":[0.0028143963,0.00035473792,0.0011446533,0.00060427433,0.003297941,0.004471788,0.004493162,0.002037497,0.0021028596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032282253,0.000014419159,0.0002481033,0.000035529174,0.000010554676,0.00009416059,0.00038977258,0.0004274322,0.0010890876,0.99359,0.001099681,0.0029689604],"study_design_scores_gemma":[0.00004906639,0.000096701944,0.0008801811,0.000029885814,0.000034355806,0.00029235426,0.00056742626,0.006302633,0.0051057236,0.9620763,0.024534872,0.000030478279],"about_ca_topic_score_codex":0.0012636532,"about_ca_topic_score_gemma":0.0011568933,"teacher_disagreement_score":0.015512019,"about_ca_system_score_codex":0.0014742244,"about_ca_system_score_gemma":0.0006509334,"threshold_uncertainty_score":0.051892877},"labels":[],"label_agreement":null},{"id":"W1887462963","doi":"10.1090/s0002-9939-05-07980-3","title":"A remark on a conjecture of Borwein and Choi","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Conjecture; Mathematics; Pure mathematics","score_opus":0.019840235785212386,"score_gpt":0.3060120707151056,"score_spread":0.28617183492989323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1887462963","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22268559,0.010211889,0.19808961,0.21287686,0.012084555,0.00022513502,0.0027416702,0.0032009003,0.3378838],"genre_scores_gemma":[0.91028625,0.0024638542,0.028345648,0.013072285,0.005767658,0.00034885813,0.0014338405,0.0008456239,0.03743603],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9934809,0.0017283981,0.00036621836,0.002030481,0.0012617477,0.0011322661],"domain_scores_gemma":[0.9789025,0.013382631,0.001211029,0.0030187978,0.0018898001,0.0015953243],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006699673,0.0017911709,0.0023263255,0.00240601,0.0038966397,0.0046088784,0.0034810842,0.003695022,0.03307146],"category_scores_gemma":[0.033757545,0.0009351919,0.0025330863,0.003024627,0.008519898,0.012490487,0.0079611065,0.008315967,0.0041027414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00092215015,0.00008950662,0.0032062067,0.00061716116,0.000100234916,0.0006341494,0.0014415882,0.004410339,0.0021568486,0.9064328,0.05727652,0.02271244],"study_design_scores_gemma":[0.00017571243,0.00015553932,0.0017058788,0.00012602279,0.000068197834,0.00046703446,0.00046394762,0.011845063,0.001374849,0.956043,0.027509743,0.000064965505],"about_ca_topic_score_codex":0.0036724424,"about_ca_topic_score_gemma":0.0011554137,"teacher_disagreement_score":0.03307146,"about_ca_system_score_codex":0.0024982553,"about_ca_system_score_gemma":0.001215036,"threshold_uncertainty_score":0.11063504},"labels":[],"label_agreement":null},{"id":"W1893450748","doi":"10.1090/s0002-9939-02-06549-8","title":"New identities of differential operators from orbital integrals on GL(l,𝐂)","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Differential (mechanical device); Differential operator; Mathematics; Pure mathematics; Orbital elements; Linear differential equation; Mathematical analysis; Differential equation; Algebra over a field; Physics; Quantum mechanics","score_opus":0.024146329579091092,"score_gpt":0.27540221581347973,"score_spread":0.25125588623438866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1893450748","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2874497,0.001205465,0.58076835,0.0015998858,0.0010199335,0.00018184965,0.00036297704,0.0003701375,0.1270418],"genre_scores_gemma":[0.80072,0.0016111978,0.13939594,0.00088050927,0.000807731,0.00022153326,0.00038399416,0.00043087036,0.055548303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953556,0.00008351319,0.000043075248,0.00006492772,0.00019633959,0.00007647072],"domain_scores_gemma":[0.9993344,0.0001435928,0.0001243096,0.00008479525,0.00019101141,0.00012194316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008657921,0.00081181136,0.0006365305,0.002238723,0.0012737821,0.0024807032,0.0010497835,0.000995037,0.0056885225],"category_scores_gemma":[0.0020099508,0.0003707941,0.0011475327,0.0011629531,0.0018234045,0.004612378,0.0022179594,0.0017765033,0.0012141098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005473129,0.000020291709,0.00019829981,0.00002914803,0.000004346514,0.0001787513,0.0002597661,0.0006366014,0.002031633,0.99165386,0.0007198452,0.0042619817],"study_design_scores_gemma":[0.000009092363,0.000014962465,0.00028824806,0.00001991225,0.0000075274247,0.0003585653,0.00013741368,0.016338022,0.0011981982,0.97786456,0.0037448767,0.000018661836],"about_ca_topic_score_codex":0.0005022759,"about_ca_topic_score_gemma":0.0009838215,"teacher_disagreement_score":0.0056885225,"about_ca_system_score_codex":0.00088820606,"about_ca_system_score_gemma":0.000637962,"threshold_uncertainty_score":0.019029975},"labels":[],"label_agreement":null},{"id":"W1909190497","doi":"10.1090/s0002-9939-01-05848-8","title":"Hypercentral units in integral group rings","year":2001,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.04441948738437675,"score_gpt":0.30268603110424463,"score_spread":0.2582665437198679,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1909190497","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32510388,0.0029580658,0.20400608,0.0025046668,0.0020951298,0.00014341458,0.00053087575,0.0025753388,0.46008256],"genre_scores_gemma":[0.8950012,0.00092983263,0.023944886,0.00066426233,0.0007883129,0.00010191496,0.0003088874,0.00058430113,0.07767636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988998,0.0002928952,0.00006473696,0.0002263843,0.00028583506,0.0002303488],"domain_scores_gemma":[0.9990915,0.00025216973,0.00013021227,0.00017863087,0.0001729475,0.00017454232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001098291,0.0007166776,0.00059010944,0.0014239176,0.0015945672,0.003538214,0.00096682843,0.00061940664,0.022530382],"category_scores_gemma":[0.0024241323,0.00030767854,0.0005561472,0.0012472123,0.0032471563,0.0062106703,0.0033257504,0.0018189299,0.006508859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045295903,0.00001307212,0.00012557994,0.000032856726,0.000004521414,0.00009400894,0.00038628664,0.00017376583,0.00067911635,0.9882505,0.0020505046,0.008144529],"study_design_scores_gemma":[0.00003488146,0.0000714065,0.0003531103,0.000027588638,0.0000139775875,0.00019665998,0.0003773197,0.0023403412,0.004507183,0.9616645,0.030386565,0.000026537453],"about_ca_topic_score_codex":0.00066559,"about_ca_topic_score_gemma":0.00047858915,"teacher_disagreement_score":0.022530382,"about_ca_system_score_codex":0.0013232083,"about_ca_system_score_gemma":0.000566813,"threshold_uncertainty_score":0.07537162},"labels":[],"label_agreement":null},{"id":"W1909681986","doi":"10.1090/s0002-9939-02-06595-4","title":"Equivariant resolution of points of indeterminacy","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Hebrew University of Jerusalem; National Science Foundation","keywords":"Equivariant map; Indeterminacy (philosophy); Mathematics; Resolution (logic); Pure mathematics; Lemma (botany); Argument (complex analysis); Resolution of singularities; Gravitational singularity; Mathematical analysis; Computer science; Philosophy; Artificial intelligence; Epistemology","score_opus":0.0335409336945903,"score_gpt":0.27809657701972035,"score_spread":0.24455564332513005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1909681986","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52614,0.0018735406,0.31270742,0.001863765,0.00055417203,0.000095944524,0.00021999337,0.00039617447,0.15614903],"genre_scores_gemma":[0.96575314,0.00062607386,0.01602865,0.00019442753,0.00017181832,0.000030032463,0.0001255006,0.000080494916,0.016989887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992391,0.00010882952,0.000034137094,0.00013071617,0.00027773847,0.00020936507],"domain_scores_gemma":[0.999233,0.00017758855,0.0000864233,0.0001418619,0.00024604707,0.00011499388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000764059,0.00052276545,0.0007608939,0.0017311086,0.0013687009,0.0026885862,0.0009737553,0.0005353173,0.0052268356],"category_scores_gemma":[0.002437849,0.00029665715,0.0008271864,0.0008475896,0.0020219916,0.003086348,0.0040864726,0.002682793,0.0008546073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002162884,0.00001705837,0.0007667151,0.00004646658,0.000016929818,0.0004181795,0.00036831255,0.00080425566,0.0020012893,0.98341817,0.001161196,0.01095971],"study_design_scores_gemma":[0.000025597259,0.000044079832,0.00096662395,0.00002612842,0.000035202745,0.0009006211,0.00048779458,0.0061023775,0.008080286,0.9656097,0.017694553,0.000027034752],"about_ca_topic_score_codex":0.000491555,"about_ca_topic_score_gemma":0.00032518554,"teacher_disagreement_score":0.0052268356,"about_ca_system_score_codex":0.00057217537,"about_ca_system_score_gemma":0.00035875663,"threshold_uncertainty_score":0.01748544},"labels":[],"label_agreement":null},{"id":"W1916219385","doi":"10.1090/proc/12505","title":"An asymptotically sharp form of Ball’s integral inequality","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Brock University","funders":"","keywords":"Mathematics; Ball (mathematics); Inequality; Mathematical analysis; Asymptotic expansion; Integral equation; Daniell integral; Applied mathematics; Pure mathematics; Singular integral","score_opus":0.06632147577328962,"score_gpt":0.3406830414667667,"score_spread":0.2743615656934771,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1916219385","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030280495,0.0021850655,0.8985954,0.0037847047,0.0006932964,0.00005982647,0.00022238768,0.00026351502,0.06391534],"genre_scores_gemma":[0.7424104,0.0028905584,0.20413785,0.0045431913,0.001772372,0.00027135943,0.00041321022,0.00060898106,0.04295218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978005,0.00061317155,0.00008753328,0.00038595241,0.0008261803,0.00028656912],"domain_scores_gemma":[0.9958431,0.002006014,0.00035636988,0.0004033399,0.0010518513,0.00033934898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004010916,0.0010246871,0.0011489973,0.0022658717,0.0008383448,0.0017314111,0.002104254,0.0016130712,0.0084867515],"category_scores_gemma":[0.013782636,0.0004187919,0.0014298074,0.0011373514,0.0031532086,0.0050227866,0.0036094324,0.0053274906,0.0013158789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002633068,0.000015025822,0.00025739518,0.000101039055,0.000020323403,0.00012955596,0.00011167644,0.0051691057,0.0033630275,0.98117584,0.0030744632,0.0065562665],"study_design_scores_gemma":[0.000013033321,0.00004498711,0.00056648895,0.000062338695,0.000021335249,0.00030140104,0.000058817117,0.15504315,0.0015686157,0.8354148,0.0068678353,0.00003724391],"about_ca_topic_score_codex":0.0018356014,"about_ca_topic_score_gemma":0.0014816117,"teacher_disagreement_score":0.0084867515,"about_ca_system_score_codex":0.0021596404,"about_ca_system_score_gemma":0.00084404903,"threshold_uncertainty_score":0.028391004},"labels":[],"label_agreement":null},{"id":"W1919483878","doi":"10.1090/s0002-9939-03-07223-x","title":"Minimal vectors in arbitrary Banach spaces","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"University of Alberta","keywords":"Banach space; Linear subspace; Mathematics; Banach manifold; Pure mathematics; Eberlein–Šmulian theorem; Lp space; Interpolation space; Approximation property; Finite-rank operator; Functional analysis","score_opus":0.018218473871852773,"score_gpt":0.28692986708602747,"score_spread":0.2687113932141747,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1919483878","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11787341,0.0026782933,0.83518434,0.0011482512,0.00050919456,0.00007471464,0.0001431511,0.00021749413,0.042171117],"genre_scores_gemma":[0.7877827,0.0024734556,0.18295118,0.00029474605,0.0004703461,0.00022218721,0.000265391,0.0001560534,0.025383934],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992938,0.00024311556,0.000044742348,0.0001090598,0.0002124386,0.000096777294],"domain_scores_gemma":[0.99927527,0.00019141806,0.00010521866,0.000100363395,0.00020623066,0.00012153402],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012997789,0.00056786375,0.00047131226,0.0015808316,0.0008711104,0.0013432552,0.00080867676,0.0003734932,0.0022733384],"category_scores_gemma":[0.0021708608,0.00029272883,0.000584346,0.0008953703,0.0022509743,0.0030748143,0.0019360615,0.0018255501,0.00042419095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011782399,0.0000064308924,0.00009432857,0.000034017503,0.0000052320393,0.000021104714,0.000075259326,0.000515594,0.0014227795,0.99021393,0.00034399016,0.0072556525],"study_design_scores_gemma":[0.000008145366,0.00004414667,0.00020541615,0.000023843999,0.000006705943,0.00010553768,0.00007234452,0.009517057,0.0028040414,0.97831386,0.008884016,0.00001477013],"about_ca_topic_score_codex":0.0003457229,"about_ca_topic_score_gemma":0.00034719452,"teacher_disagreement_score":0.0022733384,"about_ca_system_score_codex":0.0006992079,"about_ca_system_score_gemma":0.0005611917,"threshold_uncertainty_score":0.0076051354},"labels":[],"label_agreement":null},{"id":"W1923759509","doi":"10.1090/s0002-9939-00-05735-x","title":"Bounding the number of cycles of O.D.E.s in 𝐑ⁿ","year":2000,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematics and Applications","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 Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; University of Victoria; University of Texas at San Antonio","keywords":"Bounding overwatch; Mathematics; Combinatorics; Computer science; Artificial intelligence","score_opus":0.021223145114959346,"score_gpt":0.3100236537697481,"score_spread":0.2888005086547888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1923759509","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3485301,0.0019433076,0.5012036,0.0014138765,0.00045849223,0.00021214897,0.0016391935,0.0021935778,0.14240569],"genre_scores_gemma":[0.71656835,0.0009380623,0.21750967,0.00034923546,0.00009135064,0.00028432175,0.0026656983,0.0016306841,0.05996263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883,0.00013328156,0.00009707246,0.00034031927,0.00033559682,0.00026375183],"domain_scores_gemma":[0.99453676,0.0027631458,0.00052161695,0.00048322722,0.0011347283,0.00056053896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001284661,0.0012767032,0.0010940967,0.0023228507,0.0019942457,0.0037143694,0.0013990878,0.0017335569,0.015459568],"category_scores_gemma":[0.009769422,0.00074015395,0.0010981121,0.0009857392,0.0019758765,0.0035965387,0.003048055,0.0018839774,0.0031262138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00073094,0.00015181625,0.008344366,0.00044870315,0.000047465976,0.0007077987,0.0011622369,0.031413775,0.022892231,0.80453354,0.016372925,0.11319426],"study_design_scores_gemma":[0.00006223944,0.00018597841,0.004231864,0.0003814683,0.000073516996,0.00074982754,0.0009604563,0.17676792,0.025690967,0.7323717,0.058429997,0.00009402895],"about_ca_topic_score_codex":0.0038835246,"about_ca_topic_score_gemma":0.0058860024,"teacher_disagreement_score":0.015459568,"about_ca_system_score_codex":0.0020269926,"about_ca_system_score_gemma":0.00090776116,"threshold_uncertainty_score":0.0517174},"labels":[],"label_agreement":null},{"id":"W1924475782","doi":"10.1090/s0002-9939-01-06241-4","title":"Octonion algebras obtained from associative algebras with involution","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Involution (esoterism); Associative property; Mathematics; Algebra over a field; Pure mathematics; Non-associative algebra; Algebra representation; Psychology; Neuroscience","score_opus":0.02249934478010788,"score_gpt":0.2858151543130965,"score_spread":0.2633158095329886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1924475782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8579917,0.00049169647,0.05113893,0.00034031188,0.0005007272,0.00007636361,0.00015098829,0.0002959629,0.089013256],"genre_scores_gemma":[0.9722465,0.00025668787,0.008333787,0.00019857708,0.00021142332,0.00003138819,0.00020388381,0.0001002271,0.018417453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970907,0.000042217693,0.000014138513,0.00003673783,0.000083643354,0.00011412712],"domain_scores_gemma":[0.99950516,0.00006407173,0.00008368629,0.00006888239,0.000075797085,0.0002024153],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003144038,0.0007173814,0.00062107726,0.0016081822,0.001321928,0.0021767747,0.0005625522,0.0007099887,0.003954596],"category_scores_gemma":[0.0008434714,0.00027378014,0.0008837601,0.00070747244,0.0017764972,0.002856124,0.0015420751,0.0012624123,0.0008884443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009522999,0.000061462466,0.00031669126,0.00003564391,0.000009864286,0.00030594497,0.00028417652,0.00074547366,0.009207039,0.982118,0.0006691154,0.0061512426],"study_design_scores_gemma":[0.00002075061,0.000053867916,0.00043623796,0.000011717029,0.0000084981275,0.0004080208,0.00012960203,0.0043601277,0.0054600914,0.9863085,0.0027812652,0.000021395139],"about_ca_topic_score_codex":0.00066228455,"about_ca_topic_score_gemma":0.001145992,"teacher_disagreement_score":0.003954596,"about_ca_system_score_codex":0.00076398574,"about_ca_system_score_gemma":0.0006783488,"threshold_uncertainty_score":0.01322943},"labels":[],"label_agreement":null},{"id":"W1936267929","doi":"10.1090/s0002-9939-04-07715-9","title":"Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Lipschitz continuity; Banach space; Separable space; Mathematics; Bounded function; Subspace topology; Quotient; Uniform continuity; Continuous function (set theory); Function (biology); Space (punctuation); Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.017494358881884612,"score_gpt":0.277268827795853,"score_spread":0.2597744689139684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1936267929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55177057,0.0011595037,0.4278372,0.00066832866,0.0001875963,0.000055048902,0.00025127316,0.00023420462,0.017836204],"genre_scores_gemma":[0.939012,0.00087106135,0.042007074,0.000116353585,0.00009023957,0.00009603342,0.0002245569,0.000072423834,0.017510297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994429,0.00014601546,0.00003271811,0.00010844089,0.00019228144,0.00007763421],"domain_scores_gemma":[0.99909055,0.0002618322,0.00018602237,0.0001025113,0.00013604133,0.00022309892],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093898294,0.001225355,0.00066418207,0.0008063103,0.0004505773,0.0015111552,0.00080834806,0.00069810695,0.002224826],"category_scores_gemma":[0.0032576788,0.000420076,0.0007451384,0.00047702284,0.0016111925,0.0027049517,0.0032110158,0.0016012022,0.0002816267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047546116,0.00007162627,0.0011324032,0.00021251188,0.000088201865,0.0009143164,0.00053506426,0.10443087,0.030111734,0.84632874,0.0010425453,0.014656594],"study_design_scores_gemma":[0.000060881095,0.00032223243,0.0016724622,0.000057984995,0.000051978805,0.00060032017,0.00046337568,0.48803505,0.013057962,0.4872089,0.00840861,0.000060319297],"about_ca_topic_score_codex":0.0005382531,"about_ca_topic_score_gemma":0.00042000666,"teacher_disagreement_score":0.002224826,"about_ca_system_score_codex":0.00093047915,"about_ca_system_score_gemma":0.00045370182,"threshold_uncertainty_score":0.007442832},"labels":[],"label_agreement":null},{"id":"W1938030343","doi":"10.1090/s0002-9939-05-07618-5","title":"Lie algebras with finite Gelfand-Kirillov dimension","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Codimension; Nilpotent; Pure mathematics; Lie algebra; Dimension (graph theory); Ideal (ethics); Class (philosophy); Nilpotent group; Finitely-generated abelian group; Polynomial; Algebra over a field; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.018962338194658066,"score_gpt":0.2824355755023896,"score_spread":0.26347323730773153,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1938030343","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68956715,0.0016746223,0.11978738,0.0034245932,0.00032261555,0.000060656726,0.00051477813,0.00075089093,0.1838972],"genre_scores_gemma":[0.9809441,0.00029864575,0.008958322,0.00021218619,0.00016352971,0.000041850606,0.00018837886,0.000059839134,0.009133141],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989183,0.00019276404,0.00004752081,0.00020192638,0.00034498665,0.00029459965],"domain_scores_gemma":[0.99814475,0.00055345887,0.00027419688,0.00018405687,0.00042631853,0.00041723438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009136225,0.00062375143,0.00077466463,0.0017564729,0.0016802025,0.002575003,0.0009000101,0.0007626052,0.005940011],"category_scores_gemma":[0.00288751,0.00029604798,0.0009672301,0.0006824463,0.0026358764,0.00391625,0.0029545086,0.0019659156,0.0014662901],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040467512,0.000018955512,0.0005182589,0.00004351147,0.000013828846,0.00011715919,0.00028251729,0.00090374454,0.0012510384,0.9928988,0.00088411564,0.003027575],"study_design_scores_gemma":[0.000016450045,0.000028448561,0.0004332115,0.00001939635,0.000011926246,0.00016910965,0.00018886788,0.0060861832,0.0017629128,0.98759604,0.0036655741,0.00002198645],"about_ca_topic_score_codex":0.0015242216,"about_ca_topic_score_gemma":0.001255222,"teacher_disagreement_score":0.005940011,"about_ca_system_score_codex":0.002031479,"about_ca_system_score_gemma":0.0011207088,"threshold_uncertainty_score":0.019871354},"labels":[],"label_agreement":null},{"id":"W1944508940","doi":"10.1090/s0002-9939-06-07916-0","title":"Simple real rank zero algebras with locally Hausdorff spectrum","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick; Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Hausdorff space; Rank (graph theory); Zero (linguistics); Bounded function; Separable space; Spectrum (functional analysis); Simple (philosophy); Combinatorics; Hausdorff dimension; Dimension (graph theory); Locally compact space; Discrete mathematics; Mathematical analysis","score_opus":0.014339394951151597,"score_gpt":0.2892230332138094,"score_spread":0.27488363826265777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1944508940","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92063683,0.000383226,0.048989248,0.00031931375,0.000039434046,0.000023307684,0.00014627009,0.00022432092,0.02923804],"genre_scores_gemma":[0.9915563,0.000091568836,0.004584638,0.00003744437,0.000037616133,0.00001161304,0.0000820252,0.000009167487,0.003589713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996679,0.00005927785,0.000021194664,0.0000514628,0.00013080631,0.00006930323],"domain_scores_gemma":[0.9993722,0.00010440598,0.00017669436,0.000069891874,0.00011930146,0.00015764713],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031396167,0.0003466934,0.00024200014,0.0008987555,0.00054048764,0.0012331142,0.00035652085,0.00027233214,0.0029587355],"category_scores_gemma":[0.00093851297,0.00014632744,0.00028536553,0.0004167459,0.0015689834,0.0017785346,0.0009389195,0.0006166782,0.00034942693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064065425,0.00001835906,0.0011171179,0.000046296183,0.000014150138,0.00017464467,0.00035940344,0.002221795,0.00735366,0.9838288,0.00046394902,0.0043378137],"study_design_scores_gemma":[0.00004863749,0.00014484263,0.0044327066,0.000020976138,0.000030165826,0.0010074497,0.00076792936,0.032750864,0.013893905,0.93881506,0.008019896,0.00006767946],"about_ca_topic_score_codex":0.0010775037,"about_ca_topic_score_gemma":0.0010022795,"teacher_disagreement_score":0.0029587355,"about_ca_system_score_codex":0.0006701908,"about_ca_system_score_gemma":0.00037395424,"threshold_uncertainty_score":0.009898007},"labels":[],"label_agreement":null},{"id":"W1948485845","doi":"10.1090/s0002-9939-03-07156-9","title":"The influence of deterministic noise on empirical measures generated by stationary processes","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Basic Research","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Machine learning","score_opus":0.02505244082628987,"score_gpt":0.25433315002386164,"score_spread":0.22928070919757176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1948485845","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1654845,0.0019160721,0.8105227,0.0053905644,0.00033875217,0.00010818749,0.00045727292,0.00065790623,0.015124068],"genre_scores_gemma":[0.93552566,0.0020909323,0.04250011,0.00088471157,0.00044040644,0.00030994456,0.00056301587,0.00056039233,0.017124906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99346787,0.003318427,0.00029145667,0.0011551479,0.0010889262,0.00067811925],"domain_scores_gemma":[0.9209329,0.059356123,0.0067597893,0.00464384,0.005947191,0.0023601993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.018021433,0.0021590055,0.0021427392,0.0035995457,0.001095535,0.004483936,0.0036618465,0.0031307032,0.0044651423],"category_scores_gemma":[0.104031384,0.0012417672,0.0028966363,0.0012097078,0.006608011,0.0060665463,0.003697475,0.0038314096,0.0007509166],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016870338,0.000063950865,0.0042143418,0.00030026023,0.00020310539,0.00061851065,0.00039124434,0.17287643,0.0025744834,0.80967015,0.002172296,0.0067464206],"study_design_scores_gemma":[0.00003472574,0.00008432921,0.0019071676,0.00010156109,0.0000640437,0.00011710922,0.00010709806,0.7767202,0.0012635819,0.21835768,0.0011740953,0.00006838873],"about_ca_topic_score_codex":0.009491642,"about_ca_topic_score_gemma":0.0040227477,"teacher_disagreement_score":0.018021433,"about_ca_system_score_codex":0.0035775034,"about_ca_system_score_gemma":0.0019743876,"threshold_uncertainty_score":0.09530759},"labels":[],"label_agreement":null},{"id":"W1954929474","doi":"10.1090/s0002-9939-05-08096-2","title":"Strong laws for generalized absolute Lorenz curves when data are stationary and ergodic sequences","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Financial Risk and Volatility Modeling","field":"Economics, Econometrics and Finance","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek","keywords":"Ergodic theory; Mathematics; Applied mathematics; Pure mathematics","score_opus":0.07836029951495273,"score_gpt":0.28117447959222447,"score_spread":0.20281418007727176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1954929474","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12574247,0.0011513002,0.8557815,0.001813415,0.00010970587,0.00014743092,0.00042254437,0.00045620414,0.01437545],"genre_scores_gemma":[0.912438,0.0021219044,0.07283972,0.00054248865,0.0004590045,0.00043121746,0.0004577764,0.00024522367,0.010464723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969689,0.0011198312,0.00019759324,0.0007638308,0.0005749022,0.00037488347],"domain_scores_gemma":[0.9768163,0.014539584,0.0034279109,0.0021508595,0.002086929,0.0009783885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0077116815,0.0012878034,0.001546692,0.004079219,0.0011171466,0.0038405857,0.0018309873,0.0018635207,0.0047709206],"category_scores_gemma":[0.05046893,0.0008081637,0.001670227,0.0019654254,0.0047498094,0.007997106,0.00314938,0.0028382055,0.0007883643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003839853,0.000017430699,0.0013732966,0.000110205234,0.000042096995,0.00024094371,0.00035738247,0.03680819,0.0013363332,0.94955045,0.0010447648,0.009080365],"study_design_scores_gemma":[0.000022428156,0.00006201572,0.0014103209,0.00006922498,0.00002299682,0.00028455595,0.000121796176,0.32462448,0.00081942184,0.66960675,0.002896086,0.000059829297],"about_ca_topic_score_codex":0.0022442513,"about_ca_topic_score_gemma":0.0012784359,"teacher_disagreement_score":0.0077116815,"about_ca_system_score_codex":0.0021337576,"about_ca_system_score_gemma":0.0011473775,"threshold_uncertainty_score":0.040783763},"labels":[],"label_agreement":null},{"id":"W1954948561","doi":"10.1090/s0002-9939-03-07139-9","title":"On injective or dense-range operators leaving a given chain of subspaces invariant","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Algorithm; Separable space; Computer science; Linear subspace; Annotation; Artificial intelligence; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.02294065454506115,"score_gpt":0.2913682778689468,"score_spread":0.26842762332388564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1954948561","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46415973,0.00092652097,0.47920018,0.00043596997,0.00018302703,0.00009615069,0.00022477539,0.00031536038,0.054458372],"genre_scores_gemma":[0.9332622,0.00080344913,0.04724901,0.00021525858,0.00016629708,0.000106150954,0.00035313267,0.00011917676,0.017725227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986405,0.00023238576,0.00008272696,0.00035431588,0.00045132582,0.000238825],"domain_scores_gemma":[0.9975272,0.0010202973,0.00028983344,0.00029871563,0.0005122452,0.00035176935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001398543,0.00068620086,0.00054670754,0.0008551719,0.00094889244,0.0014409354,0.0006231964,0.00051325007,0.005666449],"category_scores_gemma":[0.003397686,0.00026083743,0.001239408,0.00050809013,0.0031973151,0.004097712,0.0027336332,0.0021319522,0.00086248445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000103520346,0.00004863274,0.0006304871,0.00013283115,0.000018817233,0.00033360673,0.0008343959,0.0023862226,0.007731969,0.9767045,0.00030080907,0.010774262],"study_design_scores_gemma":[0.000034188684,0.0002982597,0.00077537075,0.00006250617,0.000034733963,0.0003800953,0.00072069414,0.0260666,0.010752444,0.9556631,0.005171379,0.00004070804],"about_ca_topic_score_codex":0.000768524,"about_ca_topic_score_gemma":0.00041656994,"teacher_disagreement_score":0.005666449,"about_ca_system_score_codex":0.00072989304,"about_ca_system_score_gemma":0.000534579,"threshold_uncertainty_score":0.018956125},"labels":[],"label_agreement":null},{"id":"W1960667156","doi":"10.1090/s0002-9939-06-08230-x","title":"Spectrum of bilateral shifts with operator-valued weights","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Spectrum (functional analysis); Operator (biology); Mathematics; Physics; Chemistry; Quantum mechanics","score_opus":0.011336135936644917,"score_gpt":0.244160189443381,"score_spread":0.23282405350673607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1960667156","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49102,0.00079005124,0.36747798,0.0012348461,0.0005891472,0.000091426205,0.00019982702,0.00037312263,0.13822359],"genre_scores_gemma":[0.95124066,0.00044040862,0.024227893,0.00029816738,0.00043326328,0.00008384891,0.00009607954,0.00016253247,0.023017103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937266,0.00007947134,0.000030380006,0.00011242046,0.00025027155,0.00015475335],"domain_scores_gemma":[0.99929965,0.00013743527,0.00009476384,0.00009437045,0.00019306102,0.00018077003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068480574,0.00068228244,0.0004701131,0.0018165022,0.0013613882,0.001625654,0.0007825796,0.0011430368,0.01321705],"category_scores_gemma":[0.0015596761,0.0002705759,0.0005511023,0.0007993924,0.0019634455,0.0035606783,0.0021373038,0.0012408574,0.0011748569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028459344,0.000020051051,0.0001411495,0.000021770316,0.000005413657,0.00016087206,0.00014104859,0.00070435,0.006109959,0.9873279,0.0004429183,0.004896194],"study_design_scores_gemma":[0.000015313413,0.0000294014,0.00023732892,0.000013379237,0.000004155824,0.0002938925,0.00012506008,0.0075826854,0.0018453217,0.9873634,0.002474509,0.000015541367],"about_ca_topic_score_codex":0.000359791,"about_ca_topic_score_gemma":0.00026061595,"teacher_disagreement_score":0.01321705,"about_ca_system_score_codex":0.00060554995,"about_ca_system_score_gemma":0.0003759402,"threshold_uncertainty_score":0.0442155},"labels":[],"label_agreement":null},{"id":"W1960754904","doi":"10.1090/s0002-9939-00-05686-0","title":"A functional equation arising from ranked additive and separable utility","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund; National Science Foundation","keywords":"Monotonic function; Convexity; Rank (graph theory); Separable space; Mathematics; Functional equation; Mathematical economics; Reduction (mathematics); Applied mathematics; Pure mathematics; Mathematical analysis; Combinatorics; Economics; Differential equation","score_opus":0.04184041683842723,"score_gpt":0.2778799811765093,"score_spread":0.23603956433808207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1960754904","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18138893,0.0014207243,0.7434125,0.0045626075,0.0002376527,0.00006998027,0.00054870994,0.00009587132,0.06826293],"genre_scores_gemma":[0.87944555,0.0013557659,0.08274068,0.0006287544,0.00024307244,0.00015933525,0.0003587037,0.0000635441,0.035004638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996536,0.000113489776,0.000019956226,0.000082862,0.00008023193,0.000049915478],"domain_scores_gemma":[0.999592,0.00021116987,0.000053888358,0.000024997755,0.00008093536,0.00003709585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008485116,0.0005403473,0.00047058525,0.0005582181,0.0006665959,0.0013129934,0.00053192297,0.0015639166,0.0042572543],"category_scores_gemma":[0.0027785273,0.00026044084,0.000789539,0.00076896464,0.0013014234,0.0020555288,0.0013368241,0.001510471,0.00044371412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000673666,0.0000060798347,0.0001339744,0.000033724955,0.000007969712,0.00009477657,0.000103630824,0.005248573,0.0010981115,0.9879523,0.0010129383,0.004301151],"study_design_scores_gemma":[0.000007996923,0.000013489423,0.00020317368,0.000014818002,0.000009345614,0.00012772338,0.000054866807,0.052259214,0.00033676924,0.944351,0.0026112946,0.000010114235],"about_ca_topic_score_codex":0.0015568341,"about_ca_topic_score_gemma":0.0014064199,"teacher_disagreement_score":0.0042572543,"about_ca_system_score_codex":0.0011826825,"about_ca_system_score_gemma":0.0009293694,"threshold_uncertainty_score":0.014241934},"labels":[],"label_agreement":null},{"id":"W1961542340","doi":"10.1090/s0002-9939-01-06368-7","title":"A large deviation principle for bootstrapped sample means","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Rate function; Mathematics; Standard deviation; Large deviations theory; Sample (material); Sample mean and sample covariance; Contraction principle; Statistics; Geometric standard deviation; Random variable; Applied mathematics; Mathematical analysis; Statistical physics; Physics; Thermodynamics","score_opus":0.08530946386248883,"score_gpt":0.3785934896797696,"score_spread":0.29328402581728075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1961542340","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.001714503,0.0005470393,0.99296993,0.0005700854,0.0001003535,0.000035674304,0.0000698116,0.00008587817,0.003906685],"genre_scores_gemma":[0.25027758,0.0043510017,0.72153336,0.0024015342,0.0019133446,0.001391755,0.00081377116,0.00080067135,0.016516974],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.98581403,0.006423733,0.0005200272,0.0016196744,0.0050781756,0.00054439815],"domain_scores_gemma":[0.9607127,0.028052755,0.001868499,0.0028793216,0.0055036913,0.0009831336],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.021256244,0.0014039355,0.0021944584,0.0028871943,0.0015495096,0.004346765,0.0030205287,0.0033898787,0.005737189],"category_scores_gemma":[0.063065805,0.0009897773,0.0029253073,0.0024099709,0.00608484,0.0057575405,0.0071599605,0.0075527043,0.0023696225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000040420837,0.000027776434,0.00022584485,0.00011936161,0.00006973173,0.00008199677,0.000103461054,0.019328158,0.0009994325,0.9544443,0.0026326745,0.021926815],"study_design_scores_gemma":[0.00002175097,0.00005112295,0.00025235428,0.000076693854,0.000020728967,0.000116135285,0.000025837404,0.09551676,0.0008403402,0.89570636,0.0073366063,0.0000352252],"about_ca_topic_score_codex":0.00048547643,"about_ca_topic_score_gemma":0.00046969278,"teacher_disagreement_score":0.021256244,"about_ca_system_score_codex":0.0018601373,"about_ca_system_score_gemma":0.0024288541,"threshold_uncertainty_score":0.112415075},"labels":[],"label_agreement":null},{"id":"W1963829980","doi":"10.1090/s0002-9939-2014-11955-1","title":"Weak amenability of commutative Beurling algebras","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Omega; Commutative property; Abelian group; Homomorphism; Combinatorics; Physics; Mathematics; Discrete mathematics; Quantum mechanics","score_opus":0.02898409262842676,"score_gpt":0.33698979091119147,"score_spread":0.3080056982827647,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963829980","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47621813,0.001317483,0.21931079,0.0021000358,0.00052521,0.00009862256,0.0004934865,0.0013158285,0.2986204],"genre_scores_gemma":[0.93261254,0.00040076073,0.014859371,0.00036791168,0.0003462776,0.00007539916,0.0003848593,0.00022604644,0.0507269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986885,0.0002537697,0.0000835276,0.0003156643,0.0003954438,0.0002630375],"domain_scores_gemma":[0.99851865,0.00039091636,0.00016348479,0.00021995424,0.0003607908,0.00034629425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011377931,0.0005420865,0.0005826864,0.0021437511,0.0021772834,0.0029879326,0.0007790831,0.0006764637,0.014879877],"category_scores_gemma":[0.0025881296,0.0003708252,0.0010733001,0.0009485774,0.0027346304,0.0058569224,0.0031736135,0.0016760838,0.0022259895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031509382,0.000014868924,0.00018959976,0.000027364833,0.000008882849,0.000089367844,0.00027900553,0.00030605964,0.0011122968,0.9938692,0.0006401519,0.00343182],"study_design_scores_gemma":[0.0000114914665,0.000023452609,0.0002833046,0.000011763755,0.000011793431,0.00010949513,0.00021935008,0.0024591077,0.0016431806,0.9895997,0.005612712,0.000014601215],"about_ca_topic_score_codex":0.0014006889,"about_ca_topic_score_gemma":0.0010806847,"teacher_disagreement_score":0.014879877,"about_ca_system_score_codex":0.0012914594,"about_ca_system_score_gemma":0.0005564664,"threshold_uncertainty_score":0.049778163},"labels":[],"label_agreement":null},{"id":"W1963885726","doi":"10.1090/s0002-9939-07-08714-x","title":"Transversals for strongly almost disjoint families","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Cooperative Communication and Network Coding","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Disjoint sets; Combinatorics; Genealogy; Mathematics; History","score_opus":0.025680803299576675,"score_gpt":0.28515555948452004,"score_spread":0.25947475618494337,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1963885726","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22724362,0.0021371355,0.6175091,0.0030888866,0.0009481221,0.00016491547,0.0026868517,0.0015445546,0.14467677],"genre_scores_gemma":[0.8212517,0.0015119966,0.09997012,0.0014296175,0.00059440336,0.00044494646,0.0042282916,0.00072697015,0.06984204],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967182,0.0008115298,0.00032710342,0.0009822798,0.00068805035,0.00047277872],"domain_scores_gemma":[0.9926797,0.0032758785,0.0006329243,0.0007713244,0.0019380195,0.0007020692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030830617,0.0007788185,0.00074519584,0.002364416,0.0026190383,0.0029846618,0.0008706159,0.0010924059,0.020627802],"category_scores_gemma":[0.0076473537,0.00097807,0.00233388,0.0014073859,0.002317114,0.008032178,0.0050719404,0.0033693898,0.0029006798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000683987,0.00002037255,0.0005043108,0.000091060996,0.000028908491,0.00014340121,0.0005307761,0.0004585326,0.0010762541,0.9861004,0.002262281,0.008715285],"study_design_scores_gemma":[0.000025756814,0.000050622904,0.00041652072,0.00005668188,0.000023920826,0.00033634188,0.00049572624,0.0030320683,0.0010262701,0.98273414,0.011775962,0.000025888663],"about_ca_topic_score_codex":0.0011758602,"about_ca_topic_score_gemma":0.0013886205,"teacher_disagreement_score":0.020627802,"about_ca_system_score_codex":0.0020130945,"about_ca_system_score_gemma":0.00086019095,"threshold_uncertainty_score":0.06900686},"labels":[],"label_agreement":null},{"id":"W1964464830","doi":"10.1090/s0002-9939-2013-11676-x","title":"Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations","year":2013,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mathematics; Inequality; Piecewise; Mathematical economics; Mathematical analysis","score_opus":0.034564541038262696,"score_gpt":0.2973832773513001,"score_spread":0.2628187363130374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964464830","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1959842,0.007436807,0.41552848,0.008269513,0.001055309,0.00011831659,0.0012101294,0.0010115696,0.3693857],"genre_scores_gemma":[0.8995754,0.0029616223,0.03575518,0.0013146043,0.0005900464,0.00026088947,0.0007050078,0.0005714093,0.05826594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998784,0.00025634517,0.000060637853,0.0003035457,0.00029709775,0.0002984671],"domain_scores_gemma":[0.994177,0.003982877,0.00038558384,0.00038746986,0.0005976381,0.00046949563],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020860624,0.0013093556,0.0013587453,0.0025043113,0.0017730143,0.0030478523,0.0016989586,0.0012697013,0.02591671],"category_scores_gemma":[0.011218677,0.0004506224,0.0017660276,0.0014877291,0.0032693194,0.007214305,0.0041857883,0.0055650068,0.0028897473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006355471,0.000018614866,0.0004474303,0.00014461062,0.000019480436,0.00012502968,0.00021866997,0.0017394953,0.0019241334,0.9845191,0.003363367,0.007416561],"study_design_scores_gemma":[0.00003102502,0.000061783234,0.0010182757,0.000062677456,0.0000473624,0.00027524747,0.00021573929,0.04018427,0.00266814,0.9455942,0.0097942,0.000047092475],"about_ca_topic_score_codex":0.0032543049,"about_ca_topic_score_gemma":0.002224719,"teacher_disagreement_score":0.02591671,"about_ca_system_score_codex":0.002137552,"about_ca_system_score_gemma":0.0009280055,"threshold_uncertainty_score":0.08670008},"labels":[],"label_agreement":null},{"id":"W1966303569","doi":"10.1090/s0002-9939-09-10115-6","title":"On the role of the collection principle for Σ⁰₂-formulas in second-order reverse mathematics","year":2009,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; John Templeton Foundation; National Science Foundation","keywords":"Mathematics; Order (exchange); Reverse mathematics; Calculus (dental); Applied mathematics; Geometry; Axiom","score_opus":0.013638678405637029,"score_gpt":0.2547967305169723,"score_spread":0.24115805211133529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966303569","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021707008,0.0021593838,0.67149854,0.008315636,0.0013270518,0.00010210489,0.00051852793,0.0015250138,0.2928468],"genre_scores_gemma":[0.6329294,0.0033830386,0.26521942,0.0070404694,0.0021165377,0.00043676075,0.0013691385,0.003218737,0.08428656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951866,0.0018682699,0.00033615535,0.000846479,0.0011552575,0.0006071545],"domain_scores_gemma":[0.99222624,0.0039596586,0.00032375896,0.001816428,0.0013160268,0.00035791696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006621083,0.0011816943,0.0012957421,0.0020852776,0.00442251,0.0064230007,0.00260627,0.0022406261,0.013912175],"category_scores_gemma":[0.01104659,0.0012297427,0.0037622883,0.0020277482,0.011411183,0.022894964,0.007426836,0.0070563047,0.0046285824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009098306,0.00000629333,0.000055516597,0.000023605673,0.0000051953925,0.00003713481,0.00019822227,0.00016899945,0.00012030703,0.99513066,0.0015221532,0.002722813],"study_design_scores_gemma":[0.000013163705,0.000010923497,0.0000930932,0.000027672462,0.000011838102,0.00007813789,0.0000830659,0.0011532371,0.00056636625,0.9792047,0.018742183,0.000015633346],"about_ca_topic_score_codex":0.0060778046,"about_ca_topic_score_gemma":0.0049925135,"teacher_disagreement_score":0.013912175,"about_ca_system_score_codex":0.003545703,"about_ca_system_score_gemma":0.002130999,"threshold_uncertainty_score":0.046540856},"labels":[],"label_agreement":null},{"id":"W1967973384","doi":"10.1090/s0002-9939-09-10118-1","title":"An operator equation, KdV equation and invariant subspaces","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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 Victoria","funders":"","keywords":"Mathematics; Korteweg–de Vries equation; Invariant subspace; Linear subspace; Bounded function; Invariant (physics); Bounded operator; Operator (biology); Invertible matrix; Pure mathematics; Finite-rank operator; Banach space; Mathematical analysis; Nonlinear system; Mathematical physics; Physics","score_opus":0.014877548441987784,"score_gpt":0.2689441094045653,"score_spread":0.2540665609625775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967973384","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1505546,0.0055507175,0.5465157,0.015429919,0.001570711,0.00011362805,0.001108945,0.00033349113,0.27882242],"genre_scores_gemma":[0.8265811,0.003716987,0.07278275,0.0020967936,0.0012384391,0.00017945356,0.0010140167,0.00024570464,0.092144795],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995914,0.00009960322,0.000021974613,0.00009394661,0.00013121859,0.00006197299],"domain_scores_gemma":[0.99955446,0.00015189491,0.0000548253,0.000028613438,0.00015493362,0.000055251923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006494797,0.0004081723,0.0004972789,0.0009332004,0.000853477,0.0014051895,0.0007728946,0.0011890483,0.009200259],"category_scores_gemma":[0.0018306178,0.00019499246,0.0008149659,0.0009172995,0.0017016935,0.0027573707,0.0016585294,0.0021882067,0.0010580528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000036223864,0.0000052038145,0.000084287494,0.000023013488,0.0000035634898,0.000034298304,0.00006518489,0.0014281329,0.00027398154,0.99339205,0.0019830714,0.0027035798],"study_design_scores_gemma":[0.000005962671,0.000009959223,0.0001227485,0.000013893299,0.0000034569634,0.000070271,0.000059992693,0.022474045,0.00019970637,0.97113657,0.005894309,0.000009016537],"about_ca_topic_score_codex":0.0034302329,"about_ca_topic_score_gemma":0.0018863766,"teacher_disagreement_score":0.009200259,"about_ca_system_score_codex":0.0012718575,"about_ca_system_score_gemma":0.0012320001,"threshold_uncertainty_score":0.030777872},"labels":[],"label_agreement":null},{"id":"W1968976516","doi":"10.1090/s0002-9939-2014-11979-4","title":"Well spaced integers generated by an infinite set of primes","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Infinite set; Mathematics; Set (abstract data type); Sequence (biology); Prime (order theory); Discrete mathematics; Combinatorics; Prime number; Coprime integers; Property (philosophy); Computer science","score_opus":0.02945525618676637,"score_gpt":0.3207912169353755,"score_spread":0.2913359607486091,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968976516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5801602,0.0014419775,0.3631855,0.0013294125,0.00030949482,0.000041821128,0.0001717129,0.00051526696,0.052844614],"genre_scores_gemma":[0.93709654,0.00047984207,0.05360507,0.00030528993,0.00019776767,0.00008808454,0.00015598006,0.00009666475,0.007974797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872476,0.00026085024,0.00006830418,0.00028821436,0.00051733723,0.00014049662],"domain_scores_gemma":[0.99478084,0.0031552755,0.00055620563,0.000542757,0.0005143904,0.00045054397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016695665,0.0005918603,0.0006889572,0.0013912527,0.001644704,0.0024819898,0.0008062311,0.0006478389,0.0034005416],"category_scores_gemma":[0.0071926843,0.0006312299,0.0005204208,0.00075758016,0.0029656882,0.00451287,0.0019303059,0.0026368606,0.0007694102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010548423,0.000042780943,0.00080203224,0.000056446297,0.000018307124,0.00039886782,0.00049361895,0.003795434,0.009136312,0.97809166,0.00065762125,0.0064013144],"study_design_scores_gemma":[0.000062687424,0.000109668195,0.0004879251,0.00005848496,0.00003100821,0.00081504905,0.00025275082,0.029351363,0.012252605,0.9462588,0.0102754105,0.000044278906],"about_ca_topic_score_codex":0.0001435499,"about_ca_topic_score_gemma":0.00013621118,"teacher_disagreement_score":0.0034005416,"about_ca_system_score_codex":0.0006987889,"about_ca_system_score_gemma":0.00046326153,"threshold_uncertainty_score":0.011375904},"labels":[],"label_agreement":null},{"id":"W1969529226","doi":"10.1090/s0002-9939-07-09241-6","title":"On the ground state energy of the translation invariant Pauli-Fierz model","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; European Commission; National Science Foundation","keywords":"Pauli exclusion principle; Invariant (physics); Ground state; Physics; Translation (biology); Mathematical physics; Quantum mechanics; Chemistry","score_opus":0.037044468749921636,"score_gpt":0.28635301959468323,"score_spread":0.2493085508447616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969529226","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35592625,0.0025606984,0.22729285,0.0072529623,0.0012871347,0.00012211049,0.00066661835,0.0013108524,0.40358046],"genre_scores_gemma":[0.9286492,0.0011701115,0.0197691,0.0013762927,0.0005616623,0.00022914553,0.0006215132,0.0011167305,0.04650627],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931896,0.00014341649,0.000020380725,0.00007295195,0.00024807197,0.00019627459],"domain_scores_gemma":[0.9993944,0.0002298222,0.000060144605,0.00011662326,0.000110680885,0.00008833883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010041561,0.0010812073,0.0013127138,0.00220162,0.0026217226,0.0026615139,0.0019360957,0.002001939,0.018878235],"category_scores_gemma":[0.0029128015,0.00042517917,0.0011505756,0.0010900036,0.002488669,0.0038322888,0.0018942072,0.0022391428,0.0031617635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020750265,0.000015433676,0.000116669995,0.00004212021,0.000007495421,0.00006736384,0.00006805113,0.006203206,0.00048526624,0.98814595,0.0020379468,0.0027898166],"study_design_scores_gemma":[0.000014051292,0.00001096107,0.00018714521,0.000023508808,0.0000068736886,0.00005431645,0.000060952792,0.06798777,0.0004573134,0.9302218,0.0009545398,0.000020731202],"about_ca_topic_score_codex":0.004577185,"about_ca_topic_score_gemma":0.0033727265,"teacher_disagreement_score":0.018878235,"about_ca_system_score_codex":0.0022573865,"about_ca_system_score_gemma":0.0014556083,"threshold_uncertainty_score":0.06315392},"labels":[],"label_agreement":null},{"id":"W1970362491","doi":"10.1090/s0002-9939-2011-11117-1","title":"Asymptotic distributions of the zeros of a family of hypergeometric polynomials","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Hypergeometric distribution; Mathematics; Hypergeometric function; Orthogonal polynomials; Pure mathematics","score_opus":0.04833904881105285,"score_gpt":0.2693860219497911,"score_spread":0.22104697313873825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970362491","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6499827,0.0021871726,0.31658876,0.0017900631,0.00018330428,0.00008904023,0.0005447066,0.00082453067,0.027809735],"genre_scores_gemma":[0.98071206,0.0014019321,0.009914331,0.00013715848,0.00026605686,0.0001296697,0.0004930473,0.00021627442,0.0067294277],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906975,0.00035286916,0.000026593812,0.0001677098,0.00021813424,0.00016495892],"domain_scores_gemma":[0.9890521,0.0067068627,0.0012316118,0.00069723505,0.0014233848,0.0008887929],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033799405,0.0007416525,0.00084617495,0.0036519815,0.0009776046,0.002224681,0.0016551213,0.00094185513,0.0073110233],"category_scores_gemma":[0.023047462,0.0005972651,0.00086353335,0.0012712241,0.0037840605,0.0032705334,0.0014238227,0.0022262342,0.0010213665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027061196,0.00007960774,0.008542033,0.00029508045,0.00008903035,0.00061179016,0.00071326306,0.04164754,0.0066906977,0.9192976,0.0034680243,0.018294731],"study_design_scores_gemma":[0.00006576266,0.00015441653,0.011618622,0.00027236115,0.000069139736,0.0013467832,0.0008510955,0.4683351,0.005092996,0.5076631,0.0043393946,0.0001912665],"about_ca_topic_score_codex":0.0019068995,"about_ca_topic_score_gemma":0.0008627192,"teacher_disagreement_score":0.0073110233,"about_ca_system_score_codex":0.0016157804,"about_ca_system_score_gemma":0.00081829104,"threshold_uncertainty_score":0.024457812},"labels":[],"label_agreement":null},{"id":"W1970677454","doi":"10.1090/s0002-9939-09-10130-2","title":"Galois groups over function fields of positive characteristic","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Concordia University","funders":"","keywords":"Pure mathematics; Mathematics; Galois group; Galois module; Function (biology); Biology","score_opus":0.011224322497262249,"score_gpt":0.25708779896743544,"score_spread":0.2458634764701732,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970677454","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39630726,0.0032217274,0.2101791,0.012711096,0.0008941885,0.00022162369,0.0003754314,0.0006631863,0.37542638],"genre_scores_gemma":[0.94109356,0.0021650835,0.03510768,0.0009365053,0.0005037725,0.000117710624,0.00025489661,0.000103203165,0.019717533],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991165,0.0002891615,0.00003596122,0.00012170909,0.00023887139,0.0001977658],"domain_scores_gemma":[0.99752337,0.0014507131,0.00024462485,0.00028398365,0.00019414804,0.00030308624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010710383,0.0011767257,0.0008356073,0.0016886893,0.0035053168,0.002466509,0.0008683623,0.0018581429,0.0056554233],"category_scores_gemma":[0.004127495,0.0004641668,0.0007885882,0.0019966073,0.0038713655,0.0062877713,0.0042180046,0.004128414,0.0009995864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014802903,0.000016532078,0.00020590807,0.00003558273,0.0000040273067,0.00015354925,0.00043074385,0.00030478812,0.00026637132,0.9950022,0.0014624431,0.0021030852],"study_design_scores_gemma":[0.000016525246,0.00001782914,0.00019794331,0.000021402439,0.000008402876,0.00030123224,0.0002741093,0.0014120282,0.00049900875,0.9866121,0.010631221,0.000008213689],"about_ca_topic_score_codex":0.0003727208,"about_ca_topic_score_gemma":0.0006831491,"teacher_disagreement_score":0.0056554233,"about_ca_system_score_codex":0.0009946475,"about_ca_system_score_gemma":0.00032150978,"threshold_uncertainty_score":0.018919349},"labels":[],"label_agreement":null},{"id":"W1971333409","doi":"10.1090/s0002-9939-2015-12240-x","title":"Mahler measure and the WZ algorithm","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Measure (data warehouse); Identity (music); Mathematics; Algebra over a field; Work (physics); Pure mathematics; Algorithm; Computer science; Data mining; Engineering; Physics","score_opus":0.03382986544025924,"score_gpt":0.29075392065956557,"score_spread":0.25692405521930634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971333409","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11679579,0.00081233314,0.8297755,0.001789489,0.00017318364,0.00009354646,0.00023396421,0.00124478,0.049081463],"genre_scores_gemma":[0.7153111,0.0006779013,0.24915448,0.0004837293,0.00023114205,0.0001828451,0.00040733744,0.00050261477,0.03304886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988405,0.00028240768,0.000058426427,0.00020275329,0.0004011362,0.00021472256],"domain_scores_gemma":[0.99881375,0.00053736137,0.0001067227,0.00027111935,0.00017132126,0.000099768826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013332716,0.0004154524,0.0006155035,0.0019820367,0.0008653071,0.002588254,0.001644899,0.00079125585,0.0055397996],"category_scores_gemma":[0.004862528,0.00027858207,0.00059998373,0.0012163735,0.0016781761,0.0044458886,0.0026086757,0.0016911591,0.0018264767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003995722,0.000018921008,0.0002830306,0.0000259476,0.000012695369,0.000029320045,0.000078677695,0.0042792805,0.0011895855,0.95363873,0.0017463152,0.03865762],"study_design_scores_gemma":[0.000030508041,0.00003431816,0.00020218972,0.00001932852,0.000010918187,0.00006167574,0.000039749364,0.0744106,0.003944756,0.9137174,0.0075016823,0.000026936785],"about_ca_topic_score_codex":0.00089151907,"about_ca_topic_score_gemma":0.0010053609,"teacher_disagreement_score":0.0055397996,"about_ca_system_score_codex":0.0014831454,"about_ca_system_score_gemma":0.0009868343,"threshold_uncertainty_score":0.018532515},"labels":[],"label_agreement":null},{"id":"W1972249452","doi":"10.1090/s0002-9939-2013-11602-3","title":"A family of number fields with unit rank at least 4 that has Euclidean ideals","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.0431520848433039,"score_gpt":0.2709947995526472,"score_spread":0.2278427147093433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972249452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7779987,0.0018305718,0.100068234,0.0018275288,0.00025173902,0.00009379282,0.00084844284,0.0007635253,0.116317466],"genre_scores_gemma":[0.9540403,0.0004733968,0.01805035,0.0002513882,0.0001914844,0.00006016654,0.00068000256,0.000089493864,0.026163308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989328,0.00016202482,0.000050378298,0.0002959138,0.00028921422,0.00026963616],"domain_scores_gemma":[0.9980938,0.00070511043,0.00035602262,0.00016225489,0.0002512068,0.00043167322],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011678709,0.00049153814,0.000539798,0.0014339371,0.0017980326,0.0018929042,0.000484688,0.00041117414,0.0067551564],"category_scores_gemma":[0.0026993013,0.00034048015,0.00077906647,0.00078118814,0.0022546356,0.0030319083,0.0013096012,0.0011175973,0.0010957683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00047741862,0.00007279212,0.0038414071,0.000190584,0.000045993293,0.000869708,0.00077976816,0.0025754594,0.0057330215,0.95946443,0.0049890433,0.020960419],"study_design_scores_gemma":[0.00022921995,0.0004321857,0.009992276,0.000108411805,0.00010807806,0.003857761,0.00094418117,0.018593129,0.017623397,0.8666109,0.08133401,0.00016653062],"about_ca_topic_score_codex":0.0013667308,"about_ca_topic_score_gemma":0.00082378276,"teacher_disagreement_score":0.0067551564,"about_ca_system_score_codex":0.0021424112,"about_ca_system_score_gemma":0.0008627931,"threshold_uncertainty_score":0.022598207},"labels":[],"label_agreement":null},{"id":"W1975354331","doi":"10.1090/s0002-9939-09-10016-3","title":"Polynomials non-negative on a strip","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Polynomial; Mathematics; Physics; Mathematical analysis","score_opus":0.021893783008606008,"score_gpt":0.3060904154103593,"score_spread":0.2841966324017533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975354331","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37637672,0.0016151874,0.34984162,0.004470125,0.0015202824,0.00012631553,0.0016544702,0.0019626052,0.26243266],"genre_scores_gemma":[0.92189205,0.0006844294,0.021890173,0.0005114454,0.00062238326,0.000110108645,0.00091432256,0.0007074763,0.05266772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843305,0.00021902444,0.000055078835,0.00043157666,0.00049781875,0.00036340527],"domain_scores_gemma":[0.9973188,0.0011394452,0.00028835124,0.00028260608,0.00072194764,0.00024890382],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013703979,0.0016041778,0.0010138863,0.0019277269,0.0012862503,0.0027227183,0.0015389718,0.00078621414,0.020872274],"category_scores_gemma":[0.0057809507,0.0006234317,0.0013136187,0.0011873704,0.0031533286,0.0043435283,0.0027679182,0.0034659258,0.0070729787],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00102584,0.0001234107,0.0028119371,0.0004850418,0.0001069377,0.0018221441,0.00083293335,0.005354744,0.015312941,0.9202806,0.019582834,0.032260705],"study_design_scores_gemma":[0.0003057509,0.00044527755,0.003808557,0.00017340273,0.00018732739,0.0019475056,0.00075732055,0.04879551,0.023361212,0.8659252,0.054163653,0.00012921824],"about_ca_topic_score_codex":0.00156597,"about_ca_topic_score_gemma":0.0010361737,"teacher_disagreement_score":0.020872274,"about_ca_system_score_codex":0.0011600151,"about_ca_system_score_gemma":0.00074150943,"threshold_uncertainty_score":0.069824696},"labels":[],"label_agreement":null},{"id":"W1976501503","doi":"10.1090/s0002-9939-08-09173-9","title":"A central set of dimension $2$","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Hausdorff dimension; Domain (mathematical analysis); Dimension (graph theory); Set (abstract data type); Mathematics; Planar; Minkowski–Bouligand dimension; Packing dimension; Zero (linguistics); Dimension function; Effective dimension; Combinatorics; Computer science; Fractal dimension; Mathematical analysis; Fractal","score_opus":0.017496116493035688,"score_gpt":0.24197207481438876,"score_spread":0.2244759583213531,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976501503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58488655,0.0030485508,0.3627056,0.00066925946,0.00038897758,0.00015403122,0.0014700047,0.00070871453,0.04596831],"genre_scores_gemma":[0.9088664,0.00049005233,0.08110254,0.00018510481,0.00014144363,0.00019934025,0.0010946179,0.00009702392,0.007823527],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993824,0.000067828645,0.00002724426,0.00019550818,0.0001902715,0.00013676111],"domain_scores_gemma":[0.9986265,0.00038414926,0.00023901624,0.00022793715,0.00025220047,0.0002702137],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005451995,0.00050780864,0.0009926595,0.0018134327,0.0010837328,0.0020726023,0.0010975836,0.000818431,0.0035056348],"category_scores_gemma":[0.0017055789,0.00045832776,0.00072592736,0.0007977244,0.0029885948,0.001505798,0.003951473,0.0008716799,0.000639451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004447969,0.00011467814,0.0052935258,0.0005705619,0.000120523815,0.0009352588,0.0005978853,0.008675626,0.06350141,0.8599218,0.006721548,0.053102218],"study_design_scores_gemma":[0.00027939273,0.00075650227,0.0139298495,0.00025988554,0.00022117198,0.008824747,0.0011621864,0.076027736,0.12383362,0.6606419,0.11373922,0.0003238423],"about_ca_topic_score_codex":0.0003728758,"about_ca_topic_score_gemma":0.0003621767,"teacher_disagreement_score":0.0035056348,"about_ca_system_score_codex":0.0006502474,"about_ca_system_score_gemma":0.00054007774,"threshold_uncertainty_score":0.0117275715},"labels":[],"label_agreement":null},{"id":"W1977424721","doi":"10.1090/s0002-9939-09-09860-8","title":"The symmetry preserving removal lemma","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Lemma (botany); Generalization; Mathematics; Hypergraph; Abelian group; Homogeneous space; Symmetry (geometry); Combinatorics; Enhanced Data Rates for GSM Evolution; Discrete mathematics; Arithmetic; Computer science; Mathematical analysis; Geometry; Artificial intelligence","score_opus":0.017824654955174143,"score_gpt":0.2840035119935509,"score_spread":0.26617885703837674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977424721","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02132265,0.0006253976,0.80678445,0.0029806118,0.0012064371,0.00024332496,0.0010248815,0.0028110263,0.16300124],"genre_scores_gemma":[0.52148736,0.0021633557,0.34509304,0.0060232976,0.0016488922,0.00094967446,0.0044681425,0.004295403,0.11387077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99599165,0.00077851693,0.00027692007,0.0010262076,0.0013617503,0.000564981],"domain_scores_gemma":[0.99498796,0.0018506276,0.00027716733,0.0016775406,0.0010233186,0.00018345218],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002429648,0.0008210913,0.00082740077,0.0012033874,0.002161429,0.0027617707,0.0020223497,0.0013562642,0.018825598],"category_scores_gemma":[0.0067018536,0.00082088355,0.002281013,0.0012821638,0.0037967744,0.009371234,0.0055648983,0.0055388035,0.010017797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005485393,0.000036421054,0.00017430862,0.00014641657,0.000027492943,0.00033094862,0.00039363405,0.0005591036,0.004467087,0.9474603,0.013332086,0.033017393],"study_design_scores_gemma":[0.000046110526,0.000045796656,0.0002370828,0.000036500234,0.00004924363,0.0007866375,0.00021004272,0.0030340725,0.012756046,0.87384176,0.108919576,0.00003727914],"about_ca_topic_score_codex":0.0015060655,"about_ca_topic_score_gemma":0.0011601759,"teacher_disagreement_score":0.018825598,"about_ca_system_score_codex":0.001034866,"about_ca_system_score_gemma":0.0013131747,"threshold_uncertainty_score":0.06297785},"labels":[],"label_agreement":null},{"id":"W1978258033","doi":"10.1090/s0002-9939-2015-12373-8","title":"Nevanlinna-Pick spaces with hyponormal multiplication operators","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Multiplication (music); Mathematics; Unit disk; Multiplication operator; Kernel (algebra); Pure mathematics; Hardy space; Unit (ring theory); Operator theory; Hilbert space; Space (punctuation); Property (philosophy); Operator (biology); Algebra over a field; Arithmetic; Combinatorics; Computer science; Mathematics education","score_opus":0.033488435961031834,"score_gpt":0.2839085545762662,"score_spread":0.25042011861523433,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978258033","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77999294,0.0006144569,0.19405404,0.00045286602,0.00012073543,0.000034263154,0.00010594454,0.000105338244,0.024519486],"genre_scores_gemma":[0.9814136,0.00023095473,0.011744716,0.000059149188,0.000100997444,0.00003071873,0.000079421596,0.000027499324,0.0063130176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931395,0.00015048732,0.000029932758,0.000118307806,0.00025815135,0.00012922082],"domain_scores_gemma":[0.99888426,0.00032665647,0.00019598949,0.000116762334,0.00016801097,0.00030832386],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009216145,0.00062877085,0.00051342987,0.0010224311,0.00092908216,0.0017680025,0.0008148468,0.0005393249,0.0025918903],"category_scores_gemma":[0.0028223523,0.00021654199,0.0004296469,0.00044838228,0.0023165771,0.00220503,0.0030572366,0.001223317,0.00035537322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041948737,0.00001790451,0.0004434015,0.000029475128,0.000007830783,0.00016546123,0.00019848743,0.000976932,0.0030980404,0.9915428,0.00028394454,0.003193694],"study_design_scores_gemma":[0.000017165632,0.000050982315,0.0007488546,0.000009763794,0.0000095136165,0.0006301269,0.00021025003,0.019074718,0.0038100164,0.97266823,0.0027517288,0.000018650771],"about_ca_topic_score_codex":0.00041394346,"about_ca_topic_score_gemma":0.0002718359,"teacher_disagreement_score":0.0025918903,"about_ca_system_score_codex":0.000504098,"about_ca_system_score_gemma":0.00045473207,"threshold_uncertainty_score":0.008670688},"labels":[],"label_agreement":null},{"id":"W1978848699","doi":"10.1090/s0002-9939-2010-10813-4","title":"The symmetric operation in a free pre-Lie algebra is magmatic","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Symmetrization; Mathematics; Lie conformal algebra; Symmetric algebra; Pure mathematics; Graded Lie algebra; Lie algebra; Commutative property; Universal enveloping algebra; Noncommutative geometry; Affine Lie algebra; Non-associative algebra; Algebra over a field; Semidirect product; Associative property; Product (mathematics); Algebra representation; Current algebra; Cellular algebra; Combinatorics; Physics; Group (periodic table); Geometry","score_opus":0.015125377287174478,"score_gpt":0.2956481799170712,"score_spread":0.2805228026298967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978848699","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62788284,0.0013419347,0.27497932,0.0012907931,0.00043588478,0.00008243734,0.00021707127,0.00035568583,0.09341417],"genre_scores_gemma":[0.96733946,0.00040894796,0.019037662,0.00017572904,0.00019283243,0.000032847718,0.00008268285,0.00004576129,0.0126842],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999503,0.00008620543,0.000037307895,0.00011282481,0.00019455727,0.000066086606],"domain_scores_gemma":[0.9993611,0.0001326601,0.00011439953,0.00012261322,0.00018572403,0.000083482046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006503815,0.00033477705,0.0003295766,0.00062125275,0.000935327,0.0012782534,0.00035421763,0.0003881203,0.0031273882],"category_scores_gemma":[0.0009141445,0.00015361262,0.0004137026,0.0005531088,0.0029322167,0.0020560944,0.000991419,0.0006146767,0.0007460919],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018216222,0.0000099840845,0.00022259224,0.000030163736,0.0000092442815,0.00012002362,0.0002529983,0.0004228754,0.004949722,0.98772836,0.00031024616,0.0059255976],"study_design_scores_gemma":[0.0000095485175,0.00006510794,0.00060273346,0.000011177346,0.000016882424,0.00056368584,0.00020088883,0.0043888325,0.010838856,0.96977454,0.013506823,0.000020892508],"about_ca_topic_score_codex":0.00048779012,"about_ca_topic_score_gemma":0.0004911548,"teacher_disagreement_score":0.0031273882,"about_ca_system_score_codex":0.0006262882,"about_ca_system_score_gemma":0.00084413396,"threshold_uncertainty_score":0.010462165},"labels":[],"label_agreement":null},{"id":"W1980031504","doi":"10.1090/s0002-9939-2012-11458-3","title":"A derivation of the Hardy-Ramanujan formula from an arithmetic formula","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ramanujan's sum; Mathematics; Asymptotic formula; Partition (number theory); Arithmetic; Pure mathematics; Combinatorics","score_opus":0.041416796196767344,"score_gpt":0.3375230672230119,"score_spread":0.29610627102624454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980031504","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.058178063,0.0022220837,0.7371139,0.0030436898,0.0033074708,0.00008363967,0.0002323812,0.0002857389,0.19553305],"genre_scores_gemma":[0.6748322,0.0031688297,0.23997965,0.0018076961,0.0026906682,0.00022977966,0.00021204677,0.00054922904,0.076529816],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99955195,0.000096336385,0.00002532363,0.00006643595,0.00021885522,0.000041003845],"domain_scores_gemma":[0.9993765,0.00021307605,0.000041421157,0.000094895564,0.00020141744,0.00007269792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012996757,0.0007470801,0.000555981,0.0020583312,0.0012544816,0.0015119626,0.0013095245,0.0010395868,0.007262764],"category_scores_gemma":[0.0041150753,0.00027684914,0.00078531407,0.0010523464,0.0022562654,0.0031831388,0.0021811144,0.0026841837,0.002006754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000022600077,0.000005919551,0.00003941818,0.00001946448,0.0000018906098,0.000041314353,0.00005951718,0.0004063291,0.00064088317,0.99306494,0.0008295519,0.004888516],"study_design_scores_gemma":[0.0000032519088,0.000018406388,0.00014143824,0.00002132236,0.0000052945525,0.00014467932,0.00003255901,0.009758016,0.00081305864,0.97952193,0.009525202,0.000014800559],"about_ca_topic_score_codex":0.0007196026,"about_ca_topic_score_gemma":0.0007793133,"teacher_disagreement_score":0.007262764,"about_ca_system_score_codex":0.0012020138,"about_ca_system_score_gemma":0.00076865836,"threshold_uncertainty_score":0.024296403},"labels":[],"label_agreement":null},{"id":"W1980349975","doi":"10.1090/s0002-9939-06-08614-x","title":"Spectral localization in the hierarchical Anderson model","year":2006,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Computer science; Artificial intelligence; Geography","score_opus":0.020061308381316204,"score_gpt":0.27632915414947656,"score_spread":0.25626784576816036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980349975","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5018305,0.0015203669,0.3519884,0.0038106898,0.00024373218,0.000075535674,0.00041400758,0.0012549333,0.13886185],"genre_scores_gemma":[0.98078835,0.00028746063,0.0099733565,0.00038465584,0.00009647062,0.000052418363,0.00012423783,0.000072807554,0.008220215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994893,0.00012707205,0.000015775337,0.00008575139,0.00014892088,0.00013317088],"domain_scores_gemma":[0.9984433,0.0005555914,0.00024608226,0.000242302,0.0002483022,0.00026444215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007609777,0.0005186329,0.0006244506,0.001289265,0.0012080997,0.0015430988,0.0010474429,0.0010259881,0.007586757],"category_scores_gemma":[0.002865801,0.00029923354,0.0007683647,0.0006359614,0.0020029359,0.002336287,0.0018746397,0.0013332748,0.0011411144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001037938,0.000013756962,0.00023952618,0.000027340677,0.000005749656,0.00004999713,0.00005656002,0.0041209045,0.00055887195,0.9923036,0.0012206075,0.0013927451],"study_design_scores_gemma":[0.000015565365,0.000016621458,0.00032543714,0.000016721766,0.000009435849,0.000102440856,0.00008294742,0.114322126,0.00047742735,0.88327414,0.0013418997,0.000015301646],"about_ca_topic_score_codex":0.0036352025,"about_ca_topic_score_gemma":0.003057491,"teacher_disagreement_score":0.007586757,"about_ca_system_score_codex":0.0011956384,"about_ca_system_score_gemma":0.00095144816,"threshold_uncertainty_score":0.025380194},"labels":[],"label_agreement":null},{"id":"W1980402127","doi":"10.1090/s0002-9939-2012-11494-7","title":"Intrinsic volumes and linear contractions","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Mathematics; Regular polygon; Mathematical analysis; Geometry","score_opus":0.034979791351441004,"score_gpt":0.30830643933191176,"score_spread":0.27332664798047074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980402127","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30370414,0.0033252942,0.6007129,0.0018260753,0.00032588796,0.000038982173,0.000415589,0.00030771174,0.08934355],"genre_scores_gemma":[0.93478465,0.0020310252,0.034142964,0.00025198533,0.00049048476,0.000112769005,0.0005439179,0.0003473013,0.027294792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987337,0.0003595854,0.000046437806,0.00028118622,0.0003871037,0.00019209058],"domain_scores_gemma":[0.99567837,0.0020897766,0.00080118945,0.0004709977,0.00052881707,0.00043092849],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010901624,0.0007447525,0.00067636353,0.0025981562,0.000693393,0.002127791,0.0012424161,0.00083180325,0.0057034083],"category_scores_gemma":[0.008603831,0.0004141807,0.00087880495,0.0012697193,0.0048026005,0.005241046,0.0039081057,0.002587327,0.0009316595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037129914,0.000011359808,0.00043306165,0.00005963443,0.000013071805,0.00007310076,0.0002751353,0.010174864,0.0031463464,0.9689361,0.0011966097,0.015643666],"study_design_scores_gemma":[0.0000064696337,0.000055430697,0.0013079457,0.00002506395,0.0000094407005,0.00023659602,0.00017072017,0.04995711,0.0021235612,0.94017667,0.0059107756,0.000020119905],"about_ca_topic_score_codex":0.0005517737,"about_ca_topic_score_gemma":0.0004262729,"teacher_disagreement_score":0.0057034083,"about_ca_system_score_codex":0.0010046035,"about_ca_system_score_gemma":0.00043756398,"threshold_uncertainty_score":0.019079864},"labels":[],"label_agreement":null},{"id":"W1980407102","doi":"10.1090/s0002-9939-2012-11808-8","title":"Log-concavity of asymptotic multigraded Hilbert series","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","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":"Queen's University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Series (stratigraphy); Semantics (computer science); Function (biology); Polynomial; Rational function; Type (biology); Infinity; Computer science; Mathematics; Algebra over a field; Discrete mathematics; Artificial intelligence; Pure mathematics; Programming language; Mathematical analysis","score_opus":0.025638880281943208,"score_gpt":0.29431337029043997,"score_spread":0.26867449000849675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980407102","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6884407,0.0008034456,0.20664777,0.0019858927,0.00025464568,0.000047245707,0.00025402376,0.00087654876,0.10068972],"genre_scores_gemma":[0.9792174,0.00024129449,0.0058326204,0.00013656015,0.00014378592,0.00003196631,0.00009339782,0.00012594627,0.014176959],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916315,0.00020137118,0.000030476875,0.0001530561,0.00026002293,0.00019188493],"domain_scores_gemma":[0.99752194,0.0010634976,0.00034514104,0.00022559646,0.000454539,0.00038936592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013435321,0.000520361,0.0004924003,0.0017382081,0.00083757145,0.0019119796,0.0010127279,0.0005430145,0.008232219],"category_scores_gemma":[0.0068032197,0.00027630618,0.0006076808,0.0006651262,0.0026136045,0.0036432198,0.0019124219,0.0018018194,0.0010488484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031377942,0.00002193412,0.00069993833,0.00004437872,0.00000641522,0.00011730645,0.00019342206,0.0020501332,0.0012169086,0.99114215,0.0007178155,0.0037581301],"study_design_scores_gemma":[0.00002096368,0.00007138477,0.0016387798,0.00004172188,0.00001571385,0.00033073462,0.00019732554,0.06446553,0.0032993932,0.926416,0.003468005,0.000034473298],"about_ca_topic_score_codex":0.0015539208,"about_ca_topic_score_gemma":0.0009904716,"teacher_disagreement_score":0.008232219,"about_ca_system_score_codex":0.0016714337,"about_ca_system_score_gemma":0.0006709382,"threshold_uncertainty_score":0.027539492},"labels":[],"label_agreement":null},{"id":"W1981070073","doi":"10.1090/s0002-9939-2011-11130-4","title":"Arithmetic normal functions and filtrations on Chow groups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Arithmetic; Pure mathematics","score_opus":0.047147879029121605,"score_gpt":0.2650234198812415,"score_spread":0.2178755408521199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981070073","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37817544,0.0026491191,0.20179355,0.003584381,0.0011081299,0.00008851164,0.0012089773,0.0019907474,0.40940118],"genre_scores_gemma":[0.8711763,0.0013471034,0.022830226,0.00052185246,0.000892111,0.00008535328,0.0012950051,0.00048286575,0.10136916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881905,0.00031208937,0.00006480153,0.0002536262,0.00028451937,0.00026590118],"domain_scores_gemma":[0.99888045,0.00033608987,0.00010797391,0.00015451497,0.0003054784,0.00021547108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001126642,0.00091798056,0.0007094696,0.0028502038,0.0017070669,0.0031378097,0.0006449303,0.00055978936,0.013449883],"category_scores_gemma":[0.0025546676,0.0003860347,0.0011405579,0.0015979604,0.0030235068,0.0051746364,0.002651686,0.0018082045,0.0032058978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000435799,0.00001390503,0.00035463183,0.000038418915,0.000009948951,0.00008240017,0.00033265466,0.00056290725,0.00052860356,0.9793219,0.0037080557,0.0150029035],"study_design_scores_gemma":[0.000016069707,0.00004288366,0.0011110099,0.000029713907,0.000015404306,0.00017436875,0.00023331649,0.0026610738,0.001192905,0.9732686,0.021222027,0.000032663273],"about_ca_topic_score_codex":0.0025571585,"about_ca_topic_score_gemma":0.0017770258,"teacher_disagreement_score":0.013449883,"about_ca_system_score_codex":0.0019630054,"about_ca_system_score_gemma":0.0009465281,"threshold_uncertainty_score":0.044994295},"labels":[],"label_agreement":null},{"id":"W1981115965","doi":"10.1090/s0002-9939-10-10289-5","title":"On the degree of rapid decay","year":2010,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Degree (music); Physics","score_opus":0.04740820467609479,"score_gpt":0.3167104290479838,"score_spread":0.269302224371889,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981115965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5198562,0.002407461,0.13669696,0.008347525,0.0007736052,0.000093269664,0.0010035427,0.0010464353,0.3297751],"genre_scores_gemma":[0.97268254,0.0004928534,0.0053493422,0.0004210064,0.0002813511,0.00006919896,0.00020346118,0.00019359951,0.020306686],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972899,0.00058598595,0.00015375618,0.0006503443,0.0005865115,0.000733559],"domain_scores_gemma":[0.9904102,0.0046717185,0.0008349332,0.0015443777,0.0013540987,0.001184661],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029057842,0.000671833,0.0011419196,0.0025105127,0.0025119558,0.004436022,0.0014781134,0.0013989559,0.013559017],"category_scores_gemma":[0.015173136,0.00049806305,0.0011067099,0.0015609398,0.0054910034,0.009068032,0.005982298,0.0034391773,0.0015305125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006125879,0.0000073434626,0.00034419182,0.000030427998,0.000005299446,0.00004583842,0.00018693256,0.0006860505,0.00030522962,0.9950428,0.0007445176,0.002540224],"study_design_scores_gemma":[0.000019920546,0.000023378225,0.00031014284,0.00002227443,0.000009093906,0.0000884342,0.00012679254,0.004295417,0.0005413554,0.9907602,0.0037844381,0.000018564555],"about_ca_topic_score_codex":0.0017959644,"about_ca_topic_score_gemma":0.00078916556,"teacher_disagreement_score":0.013559017,"about_ca_system_score_codex":0.0029414447,"about_ca_system_score_gemma":0.0011798891,"threshold_uncertainty_score":0.045359433},"labels":[],"label_agreement":null},{"id":"W1981268590","doi":"10.1090/s0002-9939-2014-12438-5","title":"Algebraic independence of local conjugacies and related questions in polynomial dynamics","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Transcendental number; Algebraically closed field; Conjugacy class; Polynomial; Algebraic number; Degree (music); Independence (probability theory); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.012310692812376211,"score_gpt":0.2782199367487868,"score_spread":0.2659092439364106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981268590","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78624904,0.0017340966,0.08645862,0.005309828,0.0002017161,0.00004476076,0.0002417299,0.00009334176,0.119666904],"genre_scores_gemma":[0.98892725,0.0006606152,0.003337809,0.00014577962,0.00038312827,0.000029582487,0.00011267651,0.000019940433,0.0063832887],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989071,0.00022655982,0.000045443994,0.00027172323,0.0003250309,0.00022410597],"domain_scores_gemma":[0.99661654,0.0018959462,0.0004953487,0.00027180405,0.00025864464,0.00046177392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013613929,0.00038292308,0.0007251052,0.0016138401,0.001981207,0.002546947,0.00079342886,0.00072952587,0.0047248406],"category_scores_gemma":[0.0056175697,0.000447036,0.000647447,0.001374701,0.0057513155,0.006313742,0.003473073,0.003442863,0.00040132873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023378543,0.000016542052,0.00068261125,0.00002327248,0.000004284509,0.000061405866,0.00022170116,0.00074360974,0.0003460569,0.99403137,0.00032909235,0.0035166447],"study_design_scores_gemma":[0.000019870904,0.000026077993,0.001295949,0.000011495944,0.000008644011,0.00014701189,0.0001992169,0.0056886,0.00057448325,0.9894605,0.0025512544,0.00001688182],"about_ca_topic_score_codex":0.000781852,"about_ca_topic_score_gemma":0.0005266374,"teacher_disagreement_score":0.0047248406,"about_ca_system_score_codex":0.0017073676,"about_ca_system_score_gemma":0.0005212377,"threshold_uncertainty_score":0.015806139},"labels":[],"label_agreement":null},{"id":"W1983823887","doi":"10.1090/s0002-9939-07-08779-5","title":"On local irreducibility of the spectrum","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Irreducibility; Spectrum (functional analysis); Mathematics; Pure mathematics; Physics; Quantum mechanics","score_opus":0.0168237624395039,"score_gpt":0.27521203861781085,"score_spread":0.25838827617830695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983823887","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17883044,0.0029128187,0.1504608,0.0051115444,0.0011966736,0.000060569357,0.0005446503,0.0011980406,0.6596845],"genre_scores_gemma":[0.9267205,0.0011779078,0.015278285,0.0011473197,0.0009210426,0.000085323416,0.00040167308,0.00053085963,0.053737175],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824154,0.0003476627,0.00008749717,0.0004550669,0.0004953196,0.00037293212],"domain_scores_gemma":[0.9983449,0.0005713665,0.00014019027,0.00033369526,0.00036889032,0.00024095595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017585962,0.00083764736,0.0008729526,0.0019542705,0.002874926,0.0033930487,0.0011000895,0.00090956804,0.017071126],"category_scores_gemma":[0.0030752248,0.00043789652,0.0015319808,0.00088879734,0.0047902884,0.006959085,0.0041302005,0.003209223,0.002987193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001009823,0.000008312846,0.0000844495,0.000016056485,0.0000033237893,0.000048332793,0.00017086737,0.00014007422,0.00023723104,0.9966864,0.00083851145,0.001756291],"study_design_scores_gemma":[0.0000057998177,0.000008417899,0.00010235237,0.000010320576,0.0000032103887,0.000045808436,0.00007766431,0.00089213793,0.0002736272,0.99492407,0.0036502103,0.000006360432],"about_ca_topic_score_codex":0.0016838385,"about_ca_topic_score_gemma":0.0011607242,"teacher_disagreement_score":0.017071126,"about_ca_system_score_codex":0.0022500802,"about_ca_system_score_gemma":0.0007040486,"threshold_uncertainty_score":0.05710864},"labels":[],"label_agreement":null},{"id":"W1984704615","doi":"10.1090/s0002-9939-2011-10820-7","title":"On some constants for oscillation and stability of delay equations","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Oscillation (cell signaling); Stability (learning theory); Constant (computer programming); Mathematics; Control theory (sociology); Applied mathematics; Physics; Mathematical analysis; Computer science; Chemistry; Control (management); Artificial intelligence","score_opus":0.0910762658908614,"score_gpt":0.33049118906305003,"score_spread":0.23941492317218863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984704615","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05830687,0.016753606,0.7503901,0.0086521795,0.0022871967,0.00012700594,0.00047368518,0.0005282324,0.16248119],"genre_scores_gemma":[0.8053631,0.011228782,0.08874451,0.0021372084,0.0024295503,0.00042963115,0.00036808557,0.00080281287,0.08849638],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992237,0.00020491632,0.000045515488,0.0002058777,0.00020031304,0.00011966361],"domain_scores_gemma":[0.99706775,0.0017186339,0.00031145246,0.00022849542,0.00050362805,0.00017007435],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002354124,0.001339461,0.000623728,0.001952139,0.001420144,0.0021494543,0.0013740505,0.0016567996,0.011752374],"category_scores_gemma":[0.012613007,0.00039948797,0.0014202292,0.0013174696,0.0028420272,0.00447089,0.002409205,0.003876109,0.0016024992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017125101,0.000007282132,0.00021034617,0.00006598265,0.000011499859,0.000052482428,0.00018732784,0.0039242357,0.0008273146,0.9844372,0.0028652672,0.0073939073],"study_design_scores_gemma":[0.00002011574,0.000026023039,0.00031030097,0.00007632639,0.000023010216,0.000096017364,0.000108173605,0.06557307,0.00090919645,0.91587317,0.016950106,0.000034555407],"about_ca_topic_score_codex":0.004123514,"about_ca_topic_score_gemma":0.0016083416,"teacher_disagreement_score":0.011752374,"about_ca_system_score_codex":0.002897668,"about_ca_system_score_gemma":0.001180314,"threshold_uncertainty_score":0.03931558},"labels":[],"label_agreement":null},{"id":"W1985557375","doi":"10.1090/s0002-9939-2010-10424-0","title":"Continuous linear extension of functions","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"University of Saskatchewan; Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Mathematics; Extension (predicate logic); Bounded operator; Continuous function (set theory); Uniform continuity; Real-valued function; Metric space; Continuous linear operator; Space (punctuation); Compact space; Metric (unit); Topology (electrical circuits); Discrete mathematics; Pure mathematics; Mathematical analysis; Function (biology); Combinatorics; Computer science","score_opus":0.016736046557504863,"score_gpt":0.29662254615602407,"score_spread":0.2798864995985192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985557375","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14900792,0.0011852589,0.7566605,0.0016218431,0.00041344712,0.00008966526,0.00086237106,0.002155497,0.088003434],"genre_scores_gemma":[0.8128322,0.0008531996,0.13426584,0.0007561182,0.0004942756,0.0002083616,0.0009155486,0.0008097275,0.048864745],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99741673,0.0005620931,0.00017069328,0.0009161275,0.0006132795,0.00032104066],"domain_scores_gemma":[0.9967007,0.0013309659,0.00021850101,0.00038416352,0.0010486534,0.0003169741],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016762074,0.0008471842,0.00058080594,0.001305422,0.0008921849,0.002395241,0.0007866575,0.0006820822,0.0065109376],"category_scores_gemma":[0.005320032,0.00043631133,0.0015498409,0.000727482,0.0026301662,0.0050016013,0.0029841324,0.0026006436,0.0021281657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012368699,0.00004960848,0.00056316773,0.00015730549,0.00002993571,0.000270705,0.0007546452,0.00276401,0.004637867,0.9512235,0.0036497584,0.035775814],"study_design_scores_gemma":[0.000054967855,0.00030087703,0.001511875,0.000115558745,0.000066977875,0.00086954277,0.0006042072,0.038499393,0.013291616,0.868182,0.07640228,0.00010070672],"about_ca_topic_score_codex":0.0013335656,"about_ca_topic_score_gemma":0.00097352284,"teacher_disagreement_score":0.0065109376,"about_ca_system_score_codex":0.0017640777,"about_ca_system_score_gemma":0.00080687704,"threshold_uncertainty_score":0.021781266},"labels":[],"label_agreement":null},{"id":"W1987871125","doi":"10.1090/s0002-9939-08-09111-9","title":"A cancellation conjecture for free associative algebras","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Bulgarian National Science Fund; Centre de Recherches Mathématiques","keywords":"Conjecture; Associative property; Mathematics; Rank (graph theory); Zero (linguistics); Polynomial; Collatz conjecture; Free probability; Associative algebra; Combinatorics; Pure mathematics; Algebra over a field; Discrete mathematics; Subalgebra; Division algebra; Mathematical analysis; Philosophy","score_opus":0.030178356374526132,"score_gpt":0.29313825464758936,"score_spread":0.2629598982730632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987871125","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15468495,0.0011810861,0.65299535,0.0067214705,0.0018728442,0.00017314545,0.00034165086,0.0012922717,0.18073727],"genre_scores_gemma":[0.8578723,0.0007497187,0.08976459,0.0022924081,0.0014845564,0.00015795078,0.00066811,0.00030796678,0.046702415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969215,0.0006237429,0.00019792255,0.00042460265,0.0014094224,0.0004227731],"domain_scores_gemma":[0.9954869,0.0019549686,0.00025881335,0.00083181064,0.0010183465,0.00044919446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031732966,0.00058896455,0.00078471267,0.0018470293,0.0031991652,0.0033586544,0.0016796059,0.0017120448,0.009399376],"category_scores_gemma":[0.009946509,0.00049016887,0.0013675224,0.0009609574,0.0038163138,0.010073269,0.004486968,0.0027497998,0.0018017053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042160642,0.000028049923,0.0006182275,0.000059256778,0.000008071446,0.00025289657,0.00031879244,0.0007583215,0.0018769711,0.9846719,0.0035690449,0.007796336],"study_design_scores_gemma":[0.000018463545,0.000015813912,0.00016829977,0.000018074907,0.000008601279,0.00027388628,0.000076817,0.0068942034,0.0020276974,0.9813828,0.009089715,0.000025744195],"about_ca_topic_score_codex":0.0012139527,"about_ca_topic_score_gemma":0.0011198854,"teacher_disagreement_score":0.009399376,"about_ca_system_score_codex":0.0010660986,"about_ca_system_score_gemma":0.0013796989,"threshold_uncertainty_score":0.031444073},"labels":[],"label_agreement":null},{"id":"W1988759066","doi":"10.1090/s0002-9939-06-08682-5","title":"Sharp Marchaud and converse inequalities in Orlicz spaces","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Converse; Mathematics; Convex function; Inequality; Regular polygon; Pure mathematics; Function (biology); Function space; Combinatorics; Mathematical analysis; Geometry","score_opus":0.02077296614678185,"score_gpt":0.2847515976877803,"score_spread":0.26397863154099843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988759066","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1794348,0.012347983,0.48540774,0.017340852,0.0019924603,0.00026400835,0.0020402365,0.0004995249,0.30067244],"genre_scores_gemma":[0.8359173,0.005155199,0.0889566,0.004964406,0.0017177624,0.0006035099,0.0012104185,0.00021251621,0.061262358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99723154,0.00084434764,0.00015298005,0.0005252858,0.00074266666,0.0005032227],"domain_scores_gemma":[0.9934134,0.0037725498,0.00059964554,0.00059048686,0.001065949,0.00055797194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004240375,0.0017235513,0.0009412949,0.0027920285,0.0024494296,0.004984135,0.0018134381,0.0020144985,0.009615508],"category_scores_gemma":[0.0145050455,0.0009071693,0.0024073538,0.0014874048,0.0042700223,0.007925747,0.0067655304,0.0069210655,0.0013937956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012090186,0.000020314064,0.00037833987,0.00014890042,0.000026837257,0.00022727133,0.0002819542,0.0028385532,0.002066645,0.9826151,0.0042437026,0.0070315064],"study_design_scores_gemma":[0.000031798092,0.000060758637,0.000929827,0.000086340115,0.00005268311,0.00049213634,0.00027785264,0.034961298,0.004701953,0.9432281,0.015110622,0.00006659915],"about_ca_topic_score_codex":0.0031770486,"about_ca_topic_score_gemma":0.0029879583,"teacher_disagreement_score":0.009615508,"about_ca_system_score_codex":0.0032064298,"about_ca_system_score_gemma":0.0012752515,"threshold_uncertainty_score":0.032167077},"labels":[],"label_agreement":null},{"id":"W1989193673","doi":"10.1090/s0002-9939-2011-11301-7","title":"Smooth Lie group actions are parametrized diffeological subgroups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.062193057490223094,"score_gpt":0.29582161050731653,"score_spread":0.23362855301709345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989193673","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44500214,0.0010490227,0.23665136,0.0023520445,0.00053326174,0.00018943807,0.00054453034,0.0016968014,0.3119814],"genre_scores_gemma":[0.93236995,0.00046060208,0.01517111,0.00033643073,0.00020711898,0.00011333868,0.00034890618,0.00034474663,0.050647877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945384,0.00010431966,0.000025899993,0.00012791206,0.00016318736,0.00012483868],"domain_scores_gemma":[0.9996896,0.000050835246,0.00005124138,0.00007710986,0.000061623854,0.000069666145],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037503545,0.0009771911,0.0004403575,0.0012954095,0.0010209569,0.0017660796,0.0006683583,0.00086099666,0.009913576],"category_scores_gemma":[0.0010198345,0.00036911815,0.00075662317,0.0005295905,0.0026326643,0.002586739,0.0024490885,0.0014581742,0.0029195272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017344544,0.000011375504,0.00015828977,0.00002049083,0.0000072946805,0.00014137769,0.0003849803,0.001195316,0.0019660217,0.99019617,0.0010031741,0.004898255],"study_design_scores_gemma":[0.000017737244,0.00003869635,0.00040534697,0.000017509643,0.000012012393,0.00013698993,0.00030930745,0.006703366,0.0028042041,0.9698131,0.019721778,0.00001997962],"about_ca_topic_score_codex":0.0011022441,"about_ca_topic_score_gemma":0.00075839716,"teacher_disagreement_score":0.009913576,"about_ca_system_score_codex":0.00091827055,"about_ca_system_score_gemma":0.00043127884,"threshold_uncertainty_score":0.033164203},"labels":[],"label_agreement":null},{"id":"W1989857842","doi":"10.1090/s0002-9939-08-09569-5","title":"On a class of ideals of the Toeplitz algebra on the Bergman space","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University at Buffalo","keywords":"Toeplitz matrix; Ideal (ethics); Mathematics; Combinatorics; Unit sphere; Bergman space; Space (punctuation); Algebra over a field; Unit (ring theory); Class (philosophy); Ball (mathematics); Pure mathematics; Mathematical analysis","score_opus":0.028337103957317745,"score_gpt":0.26766255697587427,"score_spread":0.2393254530185565,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1989857842","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31748492,0.0016150846,0.3381359,0.0022484474,0.00087705214,0.00014334274,0.0012894956,0.0011459652,0.33705983],"genre_scores_gemma":[0.85030955,0.0012248614,0.033585276,0.00058189064,0.0008160938,0.00018815439,0.0013083778,0.00043246936,0.11155334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984238,0.0002494202,0.00005641228,0.00028649202,0.00056981936,0.00041403642],"domain_scores_gemma":[0.99865216,0.00027141205,0.00017928175,0.00010115596,0.00042088266,0.00037522076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000877847,0.000993246,0.00086379796,0.0020309398,0.002025157,0.0043693506,0.00095471845,0.00072200096,0.01635999],"category_scores_gemma":[0.0019510653,0.00039873918,0.0010012249,0.0014986006,0.0029901084,0.005284436,0.0020009952,0.0021552385,0.004290507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033474207,0.000019928844,0.0001219918,0.000032084343,0.0000071589097,0.00008588894,0.00021670395,0.0005944822,0.00075503276,0.992729,0.0017708489,0.0036334265],"study_design_scores_gemma":[0.00001823302,0.000052563733,0.0004211707,0.00001870145,0.000007885489,0.00017295117,0.00027374126,0.00789822,0.001202908,0.98013103,0.009769687,0.00003291708],"about_ca_topic_score_codex":0.0042062807,"about_ca_topic_score_gemma":0.0023239506,"teacher_disagreement_score":0.01635999,"about_ca_system_score_codex":0.0020332278,"about_ca_system_score_gemma":0.0013062578,"threshold_uncertainty_score":0.05472958},"labels":[],"label_agreement":null},{"id":"W1990432633","doi":"10.1090/s0002-9939-2015-12297-6","title":"Cores for quasiconvex actions","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Israel Science Foundation","keywords":"Quasiconvex function; Regular polygon; Core (optical fiber); Group (periodic table); Mathematics; Pure mathematics; Cube (algebra); Combinatorics; Computer science; Convex analysis; Convex optimization; Geometry; Physics; Telecommunications","score_opus":0.10239454592688042,"score_gpt":0.35024200495747027,"score_spread":0.24784745903058986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990432633","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7636544,0.00034079218,0.14229119,0.00072141853,0.0001517758,0.00011878463,0.00040001367,0.00022237525,0.09209928],"genre_scores_gemma":[0.9725156,0.00016770836,0.011102335,0.00017057518,0.00012589761,0.000078578436,0.00042787124,0.00007130304,0.015340124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994766,0.000080751095,0.000027398217,0.00012598035,0.00017620208,0.00011308002],"domain_scores_gemma":[0.99912304,0.00024146364,0.00014573033,0.00011335503,0.00014386381,0.00023253664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004126862,0.00046454102,0.00035403483,0.000800585,0.0009924079,0.0014492336,0.0003997516,0.00038335976,0.009235129],"category_scores_gemma":[0.0011947368,0.00028193727,0.00052036246,0.0002878963,0.002606871,0.0027381317,0.0025915622,0.0011695782,0.0008404776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031278585,0.000010730861,0.00033817106,0.00002854577,0.000005608861,0.00011771903,0.0003276319,0.00058090454,0.0024328446,0.99318635,0.00041580517,0.0025243838],"study_design_scores_gemma":[0.000039756516,0.0001270494,0.0013444826,0.00002573521,0.000015222154,0.00041559467,0.00065241853,0.012532345,0.007902326,0.961791,0.015132653,0.000021427119],"about_ca_topic_score_codex":0.00075797556,"about_ca_topic_score_gemma":0.00076864887,"teacher_disagreement_score":0.009235129,"about_ca_system_score_codex":0.0007859808,"about_ca_system_score_gemma":0.00044829125,"threshold_uncertainty_score":0.030894518},"labels":[],"label_agreement":null},{"id":"W1991110511","doi":"10.1090/s0002-9939-08-09665-2","title":"Incomparable prime ideals in commutative radical Fréchet algebras","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","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 Alberta","funders":"Killam Trusts","keywords":"Commutative property; Prime (order theory); Mathematics; Associated prime; Pure mathematics; Nilpotent; Boolean prime ideal theorem; Element (criminal law); Algebra over a field; Combinatorics; Political science","score_opus":0.0366754622333068,"score_gpt":0.2954787487705606,"score_spread":0.25880328653725376,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991110511","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43342993,0.0021799097,0.2626051,0.002981,0.0010378445,0.00017440556,0.0007895505,0.0015165268,0.2952858],"genre_scores_gemma":[0.88388276,0.00078598893,0.042742178,0.0006610603,0.0007056021,0.00014969992,0.0005720482,0.0002698855,0.07023073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844897,0.00038667605,0.00008176129,0.00029194576,0.00048605382,0.00030446655],"domain_scores_gemma":[0.9986156,0.00047838778,0.00014608842,0.00011992325,0.0003913102,0.0002487165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015184734,0.0005449127,0.00063620304,0.0016703798,0.0018637052,0.0024538357,0.0007716943,0.00071525935,0.013121377],"category_scores_gemma":[0.0027828962,0.0004829372,0.00094726885,0.0009042266,0.0023926038,0.004914088,0.0018440632,0.0018132378,0.0029656573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004889229,0.000030282328,0.00015859921,0.000052424013,0.000006512652,0.0001632462,0.00041238393,0.00042741818,0.0015424968,0.988658,0.0021021382,0.0063975924],"study_design_scores_gemma":[0.000027608181,0.00004291915,0.000382061,0.000021388789,0.000012012312,0.0002185534,0.00023625848,0.0033903732,0.0024116873,0.9798244,0.013409013,0.000023809114],"about_ca_topic_score_codex":0.0013260186,"about_ca_topic_score_gemma":0.0012908304,"teacher_disagreement_score":0.013121377,"about_ca_system_score_codex":0.001847302,"about_ca_system_score_gemma":0.0009168765,"threshold_uncertainty_score":0.043895364},"labels":[],"label_agreement":null},{"id":"W1992101335","doi":"10.1090/s0002-9939-2014-12057-0","title":"Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":73,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Program for New Century Excellent Talents in University; National Natural Science Foundation of China; Shanghai Municipal Education Commission; Fudan University; Division of Mathematical Sciences; National Science Foundation","keywords":"Harmonic map; Compact space; Compressibility; Mathematical analysis; Heat equation; Mathematics; Rigidity (electromagnetism); Harmonic; Harmonic oscillator; Coercivity; Pure mathematics; Physics; Thermodynamics; Condensed matter physics; Quantum mechanics","score_opus":0.019874861859022548,"score_gpt":0.3028308896062648,"score_spread":0.28295602774724227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992101335","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29425922,0.002459795,0.64612675,0.005119029,0.00046846073,0.000061952065,0.00026834765,0.00030965815,0.050926775],"genre_scores_gemma":[0.9513754,0.001004876,0.03583993,0.00060062285,0.00047793804,0.00006930015,0.00014565462,0.00015173471,0.010334668],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99936813,0.00015848038,0.00003066706,0.00014298121,0.00021924757,0.00008057195],"domain_scores_gemma":[0.9969668,0.0014703813,0.00042198182,0.00024270907,0.00048211834,0.0004159058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021090826,0.00092976884,0.00074451126,0.0011977861,0.0006994978,0.0011338271,0.00079933024,0.0007473279,0.004881017],"category_scores_gemma":[0.0036934232,0.00031167662,0.0010593988,0.00035606706,0.0037157142,0.0033377619,0.0033922186,0.0026179638,0.00033716022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010374148,0.00003846486,0.0010698999,0.00018558654,0.000044319415,0.0008014831,0.00061167823,0.010439886,0.017061956,0.960329,0.0013104981,0.008003587],"study_design_scores_gemma":[0.00006214468,0.0003883065,0.0028341783,0.000066567896,0.000045233817,0.000833708,0.00054757076,0.08461351,0.016035872,0.8864643,0.008041736,0.000066875415],"about_ca_topic_score_codex":0.00042484814,"about_ca_topic_score_gemma":0.00032334676,"teacher_disagreement_score":0.004881017,"about_ca_system_score_codex":0.00037092422,"about_ca_system_score_gemma":0.0003121929,"threshold_uncertainty_score":0.016328633},"labels":[],"label_agreement":null},{"id":"W1992262303","doi":"10.1090/s0002-9939-2014-12217-9","title":"Commutators of small rank and reducibility of operator semigroups","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","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; National Science Foundation","keywords":"Rank (graph theory); Abelian group; Semigroup; Mathematics; Unitary state; Operator (biology); Group (periodic table); Pure mathematics; Rank of an abelian group; Combinatorics; Discrete mathematics; Elementary abelian group; Physics; Chemistry; Political science; Law","score_opus":0.013147404913515208,"score_gpt":0.24753868999615594,"score_spread":0.23439128508264073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992262303","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.84954965,0.00030217972,0.0958866,0.00092926953,0.00015038841,0.000089185414,0.00026003429,0.00048354312,0.052349165],"genre_scores_gemma":[0.9777233,0.000095771735,0.014126623,0.00013922858,0.00020580828,0.00009765434,0.00018619651,0.00006338377,0.0073620174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971445,0.0007942012,0.00025897077,0.00068111427,0.000671771,0.00044938968],"domain_scores_gemma":[0.99142104,0.0047260937,0.0008126135,0.0015246861,0.00060385227,0.0009117336],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002169605,0.00045302222,0.00074010383,0.0011093165,0.0014188206,0.0025880495,0.00074521184,0.0007813892,0.007961611],"category_scores_gemma":[0.009390811,0.0005326137,0.00092546555,0.00041329206,0.003805588,0.003304922,0.0021367823,0.0014372962,0.0009381066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013234942,0.00005188867,0.0008614581,0.000045410372,0.000010964229,0.00033287352,0.0012403139,0.0009206521,0.00435913,0.9874784,0.000842227,0.0037243268],"study_design_scores_gemma":[0.00006359516,0.00007776957,0.000478757,0.000012237641,0.0000134897555,0.00038624002,0.00023186837,0.009407109,0.0033533748,0.9831297,0.0028183092,0.000027551636],"about_ca_topic_score_codex":0.00032670944,"about_ca_topic_score_gemma":0.00030043928,"teacher_disagreement_score":0.007961611,"about_ca_system_score_codex":0.0005091313,"about_ca_system_score_gemma":0.0005163926,"threshold_uncertainty_score":0.026634216},"labels":[],"label_agreement":null},{"id":"W1992600589","doi":"10.1090/s0002-9939-03-06974-0","title":"𝑛-inner automorphisms of finite groups","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Automorphism; Mathematics; Automorphisms of the symmetric and alternating groups; Pure mathematics","score_opus":0.037080580756543864,"score_gpt":0.3036681103605142,"score_spread":0.26658752960397036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992600589","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21362121,0.001998698,0.31179428,0.003607307,0.0023114874,0.00016549755,0.0010342897,0.0023779531,0.4630894],"genre_scores_gemma":[0.83076847,0.0010208713,0.046999425,0.00118421,0.0009608948,0.00019641296,0.0009041426,0.00071624183,0.117249265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99817467,0.00044589533,0.00012504114,0.0004073466,0.000460856,0.00038612145],"domain_scores_gemma":[0.9979625,0.0005990461,0.00024851874,0.00045507163,0.0004973013,0.00023757963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012454368,0.0007263567,0.0005325437,0.0016913216,0.0018170134,0.0028594844,0.0006945007,0.000796243,0.010663291],"category_scores_gemma":[0.0031757366,0.00041722925,0.0015613404,0.0008387391,0.0037261473,0.0039573708,0.0029494308,0.0018871732,0.0038084881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027769789,0.000014462474,0.00018504042,0.000026915044,0.0000075901007,0.00007371814,0.00050593284,0.0003386959,0.00080193253,0.98741144,0.0026145785,0.007991985],"study_design_scores_gemma":[0.000013407473,0.000028625967,0.00023646736,0.000021716201,0.000008247668,0.00012513866,0.00020234268,0.0015906077,0.0016276928,0.969355,0.026771856,0.000018887888],"about_ca_topic_score_codex":0.0012358645,"about_ca_topic_score_gemma":0.0012244432,"teacher_disagreement_score":0.010663291,"about_ca_system_score_codex":0.0017339834,"about_ca_system_score_gemma":0.00067475747,"threshold_uncertainty_score":0.035672307},"labels":[],"label_agreement":null},{"id":"W1992823335","doi":"10.1090/s0002-9939-08-09702-5","title":"On strings of consecutive integers with a distinct number of prime factors","year":2008,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Mathematics; Prime number; Prime (order theory); Prime factor; Combinatorics","score_opus":0.03130709518434985,"score_gpt":0.3072452960357853,"score_spread":0.2759382008514355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992823335","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.054070245,0.0025252332,0.544286,0.004381933,0.006241257,0.00047249816,0.0068442672,0.007651288,0.37352726],"genre_scores_gemma":[0.38917595,0.004182401,0.31771922,0.00317752,0.0031132114,0.0012330292,0.0125048375,0.008032434,0.26086152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99678,0.0007285576,0.00032261372,0.00080215465,0.000904815,0.0004618131],"domain_scores_gemma":[0.9946273,0.002527921,0.0003697208,0.00081235444,0.0014747975,0.00018800583],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020759522,0.0017748786,0.0014033574,0.0022981479,0.0025338964,0.0046019973,0.0015536464,0.0017438426,0.03708286],"category_scores_gemma":[0.013410951,0.0010265278,0.0016412657,0.0031764868,0.00267039,0.01265524,0.0033456166,0.0028380977,0.030555844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005344207,0.00006486141,0.0009398788,0.00045225385,0.000041272047,0.00068524264,0.0007950333,0.0012287217,0.0052968543,0.82796127,0.06603059,0.09596962],"study_design_scores_gemma":[0.0001207339,0.00011515611,0.0010482784,0.00039400006,0.00006535549,0.0006958904,0.0006000066,0.007101691,0.013224657,0.6639021,0.3126186,0.00011357173],"about_ca_topic_score_codex":0.0020321405,"about_ca_topic_score_gemma":0.002484241,"teacher_disagreement_score":0.03708286,"about_ca_system_score_codex":0.002428822,"about_ca_system_score_gemma":0.0011781405,"threshold_uncertainty_score":0.12405449},"labels":[],"label_agreement":null},{"id":"W1992864118","doi":"10.1090/s0002-9939-2010-10443-4","title":"A note on the gaps between consecutive zeros of the Riemann zeta-function","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","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":"University of Lethbridge","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Riemann hypothesis; Geometric function theory; Explicit formulae; Riemann sum; Z function; Riemann surface","score_opus":0.03487808817162525,"score_gpt":0.32166113362706605,"score_spread":0.2867830454554408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992864118","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.65810424,0.01650994,0.24341363,0.008699071,0.0043218588,0.00010270881,0.00082670804,0.0007656441,0.06725625],"genre_scores_gemma":[0.97749555,0.002511589,0.015075076,0.0006508236,0.0014423792,0.000052762403,0.00022635127,0.00013837026,0.002407043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979321,0.00044901905,0.00015592597,0.0005730496,0.0006348279,0.000255099],"domain_scores_gemma":[0.95867306,0.03127843,0.0037162409,0.0038046266,0.001111615,0.0014159573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032069709,0.00078783487,0.0013829983,0.0019259847,0.002094816,0.0023117375,0.0021630493,0.0012782246,0.0037074096],"category_scores_gemma":[0.033650167,0.00042968336,0.00070871814,0.0016200528,0.00410934,0.005076096,0.003886946,0.0044461545,0.00060325954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021743956,0.00026673905,0.024877448,0.0010690936,0.00022784188,0.005988577,0.0018169497,0.058629658,0.043736864,0.7578376,0.015270351,0.0881045],"study_design_scores_gemma":[0.00011382349,0.0005756404,0.018731816,0.00025170206,0.00022346679,0.006292489,0.00068158685,0.11429528,0.013947162,0.8202607,0.02442702,0.00019927722],"about_ca_topic_score_codex":0.00065394863,"about_ca_topic_score_gemma":0.0004933926,"teacher_disagreement_score":0.0037074096,"about_ca_system_score_codex":0.0008369655,"about_ca_system_score_gemma":0.0006642849,"threshold_uncertainty_score":0.016960263},"labels":[],"label_agreement":null},{"id":"W1993186908","doi":"10.1090/s0002-9939-08-09775-x","title":"A version of Lomonosov’s theorem for collections of positive operators","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","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 Alberta","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.01659124173125259,"score_gpt":0.28535321684258275,"score_spread":0.26876197511133015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993186908","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.036684543,0.0047831233,0.6132353,0.008597409,0.0015302454,0.00011669554,0.0023357815,0.0010653214,0.33165163],"genre_scores_gemma":[0.7054834,0.0058885803,0.14789632,0.00675273,0.0038279938,0.00067252264,0.0027197157,0.0014028838,0.12535596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99734277,0.00051400304,0.00018980789,0.0008495832,0.00081091,0.00029289583],"domain_scores_gemma":[0.99709177,0.0012210804,0.0002198696,0.00048344317,0.0007751506,0.00020870367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034004108,0.00094294525,0.0011954557,0.0022893678,0.0024133446,0.004454552,0.0016599788,0.0011573491,0.014876258],"category_scores_gemma":[0.006101019,0.00075244094,0.0027994676,0.0020166852,0.003979695,0.012655049,0.0041036084,0.0040590735,0.002979756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024273704,0.000011300718,0.00012109451,0.00011188523,0.000029666971,0.00007464886,0.00024701844,0.0004588786,0.0005167125,0.98508054,0.0049349256,0.008389069],"study_design_scores_gemma":[0.000016262025,0.000017502301,0.00028423363,0.00003136352,0.00001779402,0.00015773824,0.00007144498,0.0024857551,0.0005474475,0.97368425,0.022667529,0.000018717603],"about_ca_topic_score_codex":0.0024380486,"about_ca_topic_score_gemma":0.001786426,"teacher_disagreement_score":0.014876258,"about_ca_system_score_codex":0.0030446274,"about_ca_system_score_gemma":0.0014995085,"threshold_uncertainty_score":0.049766004},"labels":[],"label_agreement":null},{"id":"W1993385569","doi":"10.1090/s0002-9939-09-10007-2","title":"An index theorem for Toeplitz operators on the quarter-plane","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Toeplitz matrix; Mathematics; Toeplitz operator; Tensor product; Commutative property; Index (typography); Plane (geometry); Pure mathematics; Quarter (Canadian coin); Atiyah–Singer index theorem; Operator (biology); Algebra over a field; Discrete mathematics; Geometry; Computer science","score_opus":0.020602221996573203,"score_gpt":0.289408531812739,"score_spread":0.2688063098161658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993385569","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3448448,0.0013013791,0.5545013,0.0012528459,0.0006583116,0.0000756889,0.00024371262,0.00036108244,0.09676085],"genre_scores_gemma":[0.9181772,0.001071195,0.060808577,0.00048692446,0.0006381979,0.00011541765,0.00016711386,0.00020350143,0.018331856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999418,0.00006804494,0.000037121103,0.00009441871,0.00028067242,0.00010170789],"domain_scores_gemma":[0.999126,0.00021356903,0.00015731636,0.00010489039,0.00023247304,0.00016573981],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009002824,0.00057663536,0.0006070041,0.0016284031,0.0011055677,0.002035312,0.00078287715,0.0008453055,0.0041773994],"category_scores_gemma":[0.0018323209,0.00025462767,0.00080431235,0.00082568586,0.0021149816,0.0039075953,0.0016779812,0.0018083354,0.00079107383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020673684,0.000012452753,0.00014212415,0.0000257742,0.000004363563,0.000092513255,0.00011679445,0.0007453341,0.00360682,0.99109334,0.00063949364,0.0035003738],"study_design_scores_gemma":[0.000011844779,0.00005199059,0.0002917383,0.000016785354,0.000006731814,0.00029510402,0.000083081046,0.015783433,0.003423864,0.9771452,0.0028698875,0.000020342884],"about_ca_topic_score_codex":0.00039482472,"about_ca_topic_score_gemma":0.00022580245,"teacher_disagreement_score":0.0041773994,"about_ca_system_score_codex":0.000806016,"about_ca_system_score_gemma":0.0004134883,"threshold_uncertainty_score":0.013974786},"labels":[],"label_agreement":null},{"id":"W1993413430","doi":"10.1090/proc/12804","title":"Observability in invariant theory II: Divisors and rational invariants","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Codimension; Quotient; Geometric invariant theory; Algebraic group; Invariant (physics); Pure mathematics; Affine variety; Observability; Observable; Affine transformation; Algebraic variety; Algebraic number; Combinatorics; Algebra over a field; Physics; Mathematical physics; Mathematical analysis","score_opus":0.04592926570264342,"score_gpt":0.28360841647882207,"score_spread":0.23767915077617865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993413430","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83012176,0.003075111,0.083981514,0.0039016297,0.00024554066,0.000030414883,0.0002483566,0.00015710869,0.07823854],"genre_scores_gemma":[0.9932152,0.0006966312,0.002087812,0.00007627054,0.000147611,0.000011461325,0.00007242723,0.000014756854,0.0036778303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999521,0.00006881442,0.000026433592,0.00013203693,0.00011993644,0.0001316449],"domain_scores_gemma":[0.998495,0.0006150577,0.00032459953,0.0002171816,0.000097188735,0.00025097487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000930978,0.00040486705,0.00053753634,0.0015188913,0.001429348,0.0038861798,0.0005951308,0.0007345375,0.002829731],"category_scores_gemma":[0.0021934437,0.0002424609,0.00056697516,0.0011198923,0.0068543158,0.005507524,0.0022835429,0.0021621017,0.00018423618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015928701,0.000010266468,0.0008420426,0.000016000655,0.0000022689035,0.000071864,0.0002984782,0.00058572914,0.0003723932,0.9951767,0.00020119477,0.0024071],"study_design_scores_gemma":[0.0000060831057,0.000014892663,0.00083730265,0.000013715225,0.0000037411721,0.0000742498,0.00018503393,0.0033371747,0.00039870708,0.9938083,0.0013112564,0.000009451486],"about_ca_topic_score_codex":0.0016144718,"about_ca_topic_score_gemma":0.0007645575,"teacher_disagreement_score":0.0038861798,"about_ca_system_score_codex":0.0020259975,"about_ca_system_score_gemma":0.0006302164,"threshold_uncertainty_score":0.014699638},"labels":[],"label_agreement":null},{"id":"W1993572786","doi":"10.1090/s0002-9939-00-05695-1","title":"Stability of 𝑛-vortices in the Ginzburg-Landau equation","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Vortex; Stability (learning theory); Mathematical physics; Physics; Ginzburg–Landau theory; Classical mechanics; Mathematics; Quantum electrodynamics; Condensed matter physics; Mechanics; Computer science; Superconductivity","score_opus":0.01875222898525614,"score_gpt":0.2501039494323001,"score_spread":0.23135172044704394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993572786","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83998126,0.0018996252,0.062557735,0.005005304,0.00054577744,0.00011596537,0.0002695363,0.00031668344,0.08930817],"genre_scores_gemma":[0.96618605,0.0005609783,0.0084806075,0.00032741396,0.00020485447,0.00009667462,0.0001954394,0.00011468052,0.023833325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997955,0.00005202053,0.0000075734224,0.000030308456,0.0000565032,0.00005812393],"domain_scores_gemma":[0.9996711,0.000069319045,0.00005897085,0.00002192817,0.00008902617,0.00008969473],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004926604,0.00063431496,0.00065650983,0.0011265352,0.0015765092,0.002064729,0.0010118049,0.0011745464,0.0046252287],"category_scores_gemma":[0.002007371,0.00024728637,0.0006199772,0.0004721543,0.0019099676,0.0019420645,0.0013832031,0.0011069587,0.0007524478],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007532454,0.00003268205,0.0006391683,0.000047211302,0.000017580274,0.00016688164,0.0002029955,0.013394785,0.0033489454,0.97623277,0.0021724252,0.0036692105],"study_design_scores_gemma":[0.000055906574,0.000041412568,0.00061676075,0.00003081609,0.000013080324,0.00007675653,0.00015817996,0.25574157,0.0010345961,0.7407019,0.0014987465,0.000030267729],"about_ca_topic_score_codex":0.004834117,"about_ca_topic_score_gemma":0.0024436389,"teacher_disagreement_score":0.004834117,"about_ca_system_score_codex":0.0014640515,"about_ca_system_score_gemma":0.0012340654,"threshold_uncertainty_score":0.015472949},"labels":[],"label_agreement":null},{"id":"W1993814235","doi":"10.1090/s0002-9939-2010-10591-9","title":"Stolarsky’s conjecture and the sum of digits of polynomial values","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Österreichischen Akademie der Wissenschaften","keywords":"Combinatorics; Conjecture; Mathematics; Infimum and supremum; Integer (computer science); Polynomial; Upper and lower bounds; Base (topology); Discrete mathematics; Mathematical analysis","score_opus":0.01714927324913465,"score_gpt":0.30298125913805324,"score_spread":0.28583198588891856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993814235","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.187133,0.0042985794,0.11921064,0.023853697,0.0032500818,0.000066703666,0.0021991185,0.0015011553,0.658487],"genre_scores_gemma":[0.88320297,0.0020967997,0.023984658,0.0026060198,0.0022887802,0.00010611146,0.0015520847,0.0006481684,0.08351445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99816066,0.00042522413,0.00008791648,0.00038123532,0.00052588654,0.00041899708],"domain_scores_gemma":[0.9968251,0.001694991,0.00021490388,0.0004819496,0.0004858051,0.00029730276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019718036,0.0010230644,0.0012118137,0.0023686872,0.0025575066,0.004619724,0.0013885326,0.0012957095,0.025323454],"category_scores_gemma":[0.009109026,0.00048048934,0.0015266706,0.0024711639,0.0054263645,0.007423442,0.0037893706,0.0046497067,0.008015356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084194144,0.00001877384,0.0003956063,0.00007484099,0.000013013923,0.00008005013,0.00016484712,0.0015271056,0.00020065097,0.9776749,0.010362854,0.00940326],"study_design_scores_gemma":[0.000020690662,0.000012660246,0.00025933736,0.00002101946,0.000010155269,0.000045596993,0.00005301348,0.003289358,0.00030971493,0.98724246,0.008723004,0.000013071583],"about_ca_topic_score_codex":0.0036478578,"about_ca_topic_score_gemma":0.003042992,"teacher_disagreement_score":0.025323454,"about_ca_system_score_codex":0.0031526256,"about_ca_system_score_gemma":0.0018499742,"threshold_uncertainty_score":0.08471537},"labels":[],"label_agreement":null},{"id":"W1994957129","doi":"10.1090/s0002-9939-2011-11149-3","title":"On the lengths of irreducible pairs of complex matrices","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Pure mathematics","score_opus":0.02621858826301766,"score_gpt":0.21578026665806535,"score_spread":0.1895616783950477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994957129","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4236071,0.0058385897,0.32567233,0.0036997343,0.0014004319,0.000143459,0.0017067897,0.0009039406,0.23702769],"genre_scores_gemma":[0.9025013,0.0029914076,0.056832884,0.00081657636,0.0012945898,0.00030177334,0.0017404404,0.0007788319,0.03274217],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99688005,0.00072045584,0.00021938584,0.00075587956,0.0008671762,0.00055708975],"domain_scores_gemma":[0.9911848,0.004214648,0.0014191978,0.0009465642,0.0012777441,0.0009570737],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025850479,0.00166431,0.0009450264,0.0047205593,0.0021604337,0.004318826,0.0017525053,0.0015340304,0.015482853],"category_scores_gemma":[0.016414283,0.000998822,0.0011242144,0.0021975604,0.004088784,0.011028441,0.0040061222,0.0044250637,0.0040998086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013866079,0.000022346236,0.0006403519,0.00011804091,0.00001684355,0.00009509698,0.00042175755,0.002308402,0.000993599,0.9811654,0.0023871835,0.011692277],"study_design_scores_gemma":[0.000013638617,0.000046590783,0.00055333076,0.000079919766,0.00001744088,0.00011035124,0.00016643672,0.008806809,0.00191094,0.98234504,0.005902124,0.000047440797],"about_ca_topic_score_codex":0.0010875926,"about_ca_topic_score_gemma":0.0011289928,"teacher_disagreement_score":0.015482853,"about_ca_system_score_codex":0.002079454,"about_ca_system_score_gemma":0.00083279336,"threshold_uncertainty_score":0.051795244},"labels":[],"label_agreement":null},{"id":"W1995973195","doi":"10.1090/s0002-9939-03-07050-3","title":"Construction of best Bregman approximations in reflexive Banach spaces","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":58,"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 Guelph","funders":"","keywords":"Mathematics; Banach space; Bregman divergence; Countable set; Intersection (aeronautics); Reflexivity; Regular polygon; Uniformly convex space; Construct (python library); Projection (relational algebra); Pure mathematics; Space (punctuation); Point (geometry); Eberlein–Šmulian theorem; Applied mathematics; Computer science; Lp space; Sociology; Algorithm; Geometry; Geography","score_opus":0.013186265710581771,"score_gpt":0.2564702723575298,"score_spread":0.24328400664694802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995973195","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016974857,0.0001197719,0.98069304,0.00009354696,0.000021099222,0.000031583346,0.000015980388,0.00020089664,0.0018492197],"genre_scores_gemma":[0.2637704,0.00026377232,0.7315828,0.00006461258,0.00001938723,0.00015880866,0.000084870415,0.0001790834,0.0038762281],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980342,0.00073649705,0.00008576262,0.00022721571,0.00073582446,0.00018041994],"domain_scores_gemma":[0.9982497,0.0006907001,0.0001617728,0.00026860874,0.0004639253,0.00016526866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030060187,0.00097534247,0.0014706238,0.0015393917,0.0009333702,0.0018726536,0.0016812851,0.001462961,0.0018037122],"category_scores_gemma":[0.006584436,0.0011152782,0.0013246911,0.00070336787,0.0019518296,0.0024925913,0.0038148365,0.0028860332,0.00062632613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019853309,0.00007879046,0.0009735546,0.00022132805,0.00009827538,0.0002740811,0.0011157251,0.15346527,0.021203175,0.746987,0.0014200967,0.07396415],"study_design_scores_gemma":[0.000029515926,0.00014179405,0.00016402907,0.00006583479,0.000023980609,0.00019579411,0.00018482358,0.77652,0.015505628,0.20158976,0.005530802,0.000048143902],"about_ca_topic_score_codex":0.00078680925,"about_ca_topic_score_gemma":0.0009218064,"teacher_disagreement_score":0.0030060187,"about_ca_system_score_codex":0.0013531226,"about_ca_system_score_gemma":0.0011382878,"threshold_uncertainty_score":0.015897572},"labels":[],"label_agreement":null},{"id":"W1996258773","doi":"10.1090/s0002-9939-06-08446-2","title":"On submultiplicativity of spectral radius and transitivity of semigroups","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Waterloo","funders":"","keywords":"Semigroup; Mathematics; Transitive relation; Spectral radius; Homogeneous; Pure mathematics; Unitary state; Scalar (mathematics); RADIUS; Zero (linguistics); Combinatorics; Discrete mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.010921009071890829,"score_gpt":0.2531903893301888,"score_spread":0.24226938025829794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996258773","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30656332,0.0015906583,0.5551658,0.0014274406,0.00030182442,0.00009745599,0.00055481144,0.0013545026,0.13294426],"genre_scores_gemma":[0.94827354,0.0006242254,0.036285225,0.0002985077,0.00032962227,0.00011686742,0.0003734392,0.00031303064,0.013385373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99728966,0.0008369623,0.00019659876,0.0008291497,0.0005286121,0.00031903217],"domain_scores_gemma":[0.99370205,0.0037953404,0.00058478117,0.0007034762,0.0007644137,0.00044995733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026332627,0.00076550414,0.00083211594,0.0019808845,0.0012722858,0.0032200145,0.0009073651,0.0006475235,0.008205804],"category_scores_gemma":[0.0063778865,0.00046208157,0.0017275704,0.0009836096,0.0039960817,0.0048489654,0.0022586584,0.0016081709,0.001961077],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055358756,0.000013834081,0.000152651,0.00004772451,0.000009673148,0.00012805182,0.00044926527,0.00094576436,0.002406011,0.99192107,0.00050592615,0.003364729],"study_design_scores_gemma":[0.000020502315,0.00007175857,0.00037348605,0.000019766212,0.000017435705,0.0002917675,0.00019689856,0.012506341,0.003672522,0.9786718,0.004127885,0.000029823213],"about_ca_topic_score_codex":0.0007130077,"about_ca_topic_score_gemma":0.0003719373,"teacher_disagreement_score":0.008205804,"about_ca_system_score_codex":0.0015001706,"about_ca_system_score_gemma":0.00058599294,"threshold_uncertainty_score":0.027451158},"labels":[],"label_agreement":null},{"id":"W1999315455","doi":"10.1090/s0002-9939-08-09694-9","title":"Smoothness of radial solutions to Monge-Ampère equations","year":2008,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; University of Calgary","funders":"","keywords":"Smoothness; Ampere; Mathematics; Mathematical analysis; Applied mathematics; Calculus (dental); Physics; Medicine; Orthodontics; Thermodynamics; Current (fluid)","score_opus":0.05966724221791913,"score_gpt":0.28353024234871155,"score_spread":0.2238630001307924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999315455","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21716604,0.002238366,0.66428155,0.0039368034,0.0005050183,0.00010616807,0.00057556486,0.0008584156,0.11033213],"genre_scores_gemma":[0.835434,0.001840354,0.08842739,0.00089310063,0.00041338304,0.00018731158,0.0006134674,0.00080652995,0.07138439],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924564,0.00027304632,0.00003139405,0.00014088527,0.00018188424,0.00012710094],"domain_scores_gemma":[0.9974239,0.0011041038,0.00032183816,0.00019637562,0.00068984315,0.00026394098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018383721,0.001274095,0.0008358258,0.001452773,0.0009884632,0.002184444,0.0015358406,0.0015416618,0.0102958735],"category_scores_gemma":[0.011282238,0.00053789816,0.0012445748,0.0006109,0.0021409632,0.0031880415,0.002154446,0.0026871995,0.0024839102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007614151,0.000022349534,0.00049367215,0.0001161736,0.000026669366,0.0001631562,0.00020342779,0.016681602,0.0032239882,0.96630836,0.0041918233,0.008492697],"study_design_scores_gemma":[0.000031201314,0.000057640198,0.000599447,0.00005124807,0.000016171043,0.00030067842,0.0001911914,0.27840915,0.0016386501,0.71247876,0.0061693774,0.000056491706],"about_ca_topic_score_codex":0.0031791967,"about_ca_topic_score_gemma":0.001930271,"teacher_disagreement_score":0.0102958735,"about_ca_system_score_codex":0.001302563,"about_ca_system_score_gemma":0.0010327632,"threshold_uncertainty_score":0.03444308},"labels":[],"label_agreement":null},{"id":"W1999517739","doi":"10.1090/s0002-9939-07-08703-5","title":"Proof of the Barker array conjecture","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Central Michigan University","keywords":"Conjecture; Mathematics; Computer science; Combinatorics","score_opus":0.006271600572417103,"score_gpt":0.21246153044958785,"score_spread":0.20618992987717075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999517739","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04433237,0.0033443766,0.30453688,0.02846881,0.0038902408,0.00014926732,0.002437038,0.0049932012,0.6078479],"genre_scores_gemma":[0.6618988,0.0033330605,0.11543157,0.012087598,0.005622786,0.00058242003,0.004433627,0.00204877,0.19456136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99725133,0.00048244547,0.0001263742,0.00078510825,0.0008770694,0.000477644],"domain_scores_gemma":[0.9949673,0.0024776729,0.00031220622,0.0009093595,0.0010403869,0.00029303343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015745844,0.0014844778,0.0013062143,0.0014430467,0.002470547,0.003961333,0.0020202962,0.0016018089,0.04611956],"category_scores_gemma":[0.009546559,0.0008187782,0.0019833671,0.0016408087,0.0038054502,0.009475468,0.0057020155,0.0063831196,0.013412213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008653514,0.000049097387,0.00047481677,0.00018153607,0.000025368407,0.00014808154,0.00033480726,0.0010493625,0.0011376024,0.9412394,0.038924526,0.016348792],"study_design_scores_gemma":[0.000049517108,0.000025005922,0.0003530435,0.000046545774,0.000028399105,0.00012742619,0.00013488391,0.004336581,0.0016855273,0.94322795,0.049962662,0.000022506263],"about_ca_topic_score_codex":0.002691046,"about_ca_topic_score_gemma":0.002364696,"teacher_disagreement_score":0.04611956,"about_ca_system_score_codex":0.002149844,"about_ca_system_score_gemma":0.0013988181,"threshold_uncertainty_score":0.15428531},"labels":[],"label_agreement":null},{"id":"W2000073509","doi":"10.1090/s0002-9939-2014-11858-2","title":"A note on special values of 𝐿-functions","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Annotation; Semantics (computer science); Computer science; Algorithm; Natural language processing; Mathematics; Artificial intelligence; Programming language","score_opus":0.030300624244278308,"score_gpt":0.3279331335942183,"score_spread":0.29763250934993996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000073509","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20959361,0.008165791,0.45042917,0.0152930105,0.004262406,0.000041565097,0.00020621979,0.0007159475,0.31129238],"genre_scores_gemma":[0.9217235,0.0027470079,0.04933972,0.0022991388,0.0030532542,0.00006781341,0.00013481677,0.00054164365,0.020093065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99728656,0.0009885879,0.00015329811,0.00057846704,0.00058704615,0.00040612172],"domain_scores_gemma":[0.99201477,0.005017227,0.00038115634,0.0011204442,0.0008339642,0.00063247234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00405041,0.0009002953,0.0013474784,0.0021867703,0.002634752,0.0033714143,0.0019036715,0.0021213556,0.0059744995],"category_scores_gemma":[0.01645276,0.00055577466,0.0017392393,0.001630198,0.0081952205,0.010098139,0.0043212892,0.006089984,0.0011507472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001807843,0.0000059553827,0.00020337614,0.000031401418,0.0000053369763,0.00012213076,0.00023674539,0.0002957613,0.0002542796,0.9939499,0.0011081988,0.0037688392],"study_design_scores_gemma":[0.000005238184,0.00001027377,0.000115021445,0.000018011095,0.00000641565,0.00019282245,0.000062860396,0.0017755642,0.00041515628,0.9922868,0.00509857,0.000013261981],"about_ca_topic_score_codex":0.000804953,"about_ca_topic_score_gemma":0.0005207984,"teacher_disagreement_score":0.0059744995,"about_ca_system_score_codex":0.0019289071,"about_ca_system_score_gemma":0.0006877623,"threshold_uncertainty_score":0.021420836},"labels":[],"label_agreement":null},{"id":"W2000103887","doi":"10.1090/s0002-9939-2014-11999-x","title":"Enumeration of certain varieties over a finite field","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Enumeration; Mathematics; Finite field; Field (mathematics); Combinatorics; Pure mathematics","score_opus":0.013568684962565114,"score_gpt":0.26416429660429963,"score_spread":0.2505956116417345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000103887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35268965,0.0014349712,0.29154307,0.0032418058,0.0004176962,0.00012067224,0.0035265412,0.0017568611,0.3452687],"genre_scores_gemma":[0.8544089,0.00078031013,0.057664648,0.000377286,0.0002706861,0.00012309448,0.0033185326,0.000491675,0.08256492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998971,0.0002653658,0.00008358885,0.00024684102,0.00023634512,0.00019684178],"domain_scores_gemma":[0.99821043,0.00085905514,0.00015603284,0.00019907785,0.000424068,0.00015130306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011175702,0.00048724827,0.0005079236,0.002041449,0.0018960951,0.0029811389,0.0007070383,0.00055028056,0.017277727],"category_scores_gemma":[0.0026312424,0.00042335637,0.00096644164,0.0019512762,0.0017056398,0.005777912,0.0017593104,0.0013759598,0.0026837296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000643382,0.00002218468,0.0010197283,0.000090963775,0.00001158825,0.00015672199,0.00041068994,0.000662137,0.0009227829,0.97929734,0.004040352,0.013301279],"study_design_scores_gemma":[0.000041978048,0.0000448142,0.002036866,0.00008965699,0.00003574934,0.0005869493,0.0008596562,0.005245913,0.00475135,0.9101125,0.07615076,0.00004373185],"about_ca_topic_score_codex":0.001840814,"about_ca_topic_score_gemma":0.0021630682,"teacher_disagreement_score":0.017277727,"about_ca_system_score_codex":0.0021654333,"about_ca_system_score_gemma":0.0006941791,"threshold_uncertainty_score":0.057799697},"labels":[],"label_agreement":null},{"id":"W2000594474","doi":"10.1090/s0002-9939-2015-12516-6","title":"Condenser capacity, exponential Blaschke products and universal covering maps","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Blaschke product; Exponential function; Logarithm; Mathematics; Product (mathematics); Condenser (optics); Unit (ring theory); Combinatorics; Mathematical analysis; Pure mathematics; Geometry; Physics","score_opus":0.06416827546130546,"score_gpt":0.2594566853378734,"score_spread":0.19528840987656795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000594474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8462827,0.0033496046,0.08944862,0.0021480108,0.00009969249,0.000048930426,0.00047143456,0.00038415167,0.057766855],"genre_scores_gemma":[0.98951334,0.0006683642,0.003627466,0.00008845863,0.0000833721,0.000047006644,0.00015156937,0.000064204156,0.0057562254],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962676,0.00006699645,0.000013623921,0.0000630394,0.000089760666,0.00013983862],"domain_scores_gemma":[0.9953489,0.0027841292,0.00038887208,0.00036045202,0.00033384885,0.0007838003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010871688,0.00063345255,0.000676338,0.0021390317,0.0010649357,0.0018056348,0.0010831063,0.0009659938,0.00716915],"category_scores_gemma":[0.007247405,0.00039108619,0.0005144214,0.0009844196,0.003283523,0.005057606,0.0026099426,0.001409773,0.0005215016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000066300454,0.000018811963,0.0007476,0.00006794766,0.000009371953,0.000114151,0.00017962328,0.008088429,0.0024418503,0.98400486,0.0010120643,0.0032491053],"study_design_scores_gemma":[0.00002430714,0.000037580983,0.0013378398,0.00004418403,0.00001473507,0.0003689333,0.00017207234,0.07756905,0.004544306,0.91316634,0.002679036,0.000041629868],"about_ca_topic_score_codex":0.001184497,"about_ca_topic_score_gemma":0.00073104305,"teacher_disagreement_score":0.00716915,"about_ca_system_score_codex":0.0018978519,"about_ca_system_score_gemma":0.0005132239,"threshold_uncertainty_score":0.02398324},"labels":[],"label_agreement":null},{"id":"W2001048411","doi":"10.1090/s0002-9939-03-07200-9","title":"A “nonlinear” proof of Pitt’s compactness theorem","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Compact space; Mathematics; Nonlinear system; Compactness theorem; Discrete mathematics; Pure mathematics; Algebra over a field; Brouwer fixed-point theorem; Fixed-point theorem; Physics","score_opus":0.02219556871521371,"score_gpt":0.30268807523041485,"score_spread":0.28049250651520113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001048411","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012990528,0.00076603267,0.8606211,0.0077892747,0.00068171776,0.000094682204,0.0005739834,0.00077870424,0.115703955],"genre_scores_gemma":[0.52572477,0.0021328563,0.35022092,0.0072602155,0.0011836519,0.00079817604,0.0008903422,0.0020645165,0.10972464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882907,0.00026134538,0.000051996078,0.00025523678,0.0004778974,0.00012432251],"domain_scores_gemma":[0.9980648,0.0009103881,0.00010450693,0.00027772257,0.0005180413,0.00012462989],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002072819,0.0012411193,0.00077844533,0.0012373922,0.0013163164,0.0014297127,0.0019729065,0.0013051324,0.023231406],"category_scores_gemma":[0.007260873,0.0006923114,0.0028533752,0.00090216985,0.0038621526,0.0057566757,0.005785165,0.004789579,0.0034400309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027403372,0.000023849638,0.00015966612,0.00014159062,0.00002816791,0.00017258739,0.00023263917,0.0031627114,0.0025551147,0.9738801,0.007874008,0.011742144],"study_design_scores_gemma":[0.000024477169,0.000036464546,0.00043874895,0.000049548238,0.000026022833,0.00020280997,0.000060117978,0.035692118,0.0027123024,0.93461937,0.026112849,0.00002523964],"about_ca_topic_score_codex":0.0026359202,"about_ca_topic_score_gemma":0.0021077152,"teacher_disagreement_score":0.023231406,"about_ca_system_score_codex":0.0021037164,"about_ca_system_score_gemma":0.0013747475,"threshold_uncertainty_score":0.07771683},"labels":[],"label_agreement":null},{"id":"W2001121189","doi":"10.1090/s0002-9939-06-08454-1","title":"Generalizations of Gonçalves’ inequality","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematics and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Combinatorics; Mathematics; Polynomial; Unit (ring theory); Unit circle; Norm (philosophy); Mathematical analysis","score_opus":0.03035688593417096,"score_gpt":0.3079790883360596,"score_spread":0.2776222024018886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001121189","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.02095977,0.0069226804,0.17897062,0.012775669,0.0025192222,0.000072168834,0.0014176153,0.00042632007,0.77593595],"genre_scores_gemma":[0.6126927,0.011295202,0.09859689,0.0098557975,0.0048843264,0.00045648165,0.0024617391,0.0016341921,0.25812262],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997888,0.0005837197,0.000100630336,0.0004678195,0.00063168135,0.0003280841],"domain_scores_gemma":[0.9949706,0.0027758812,0.00027816638,0.0006494497,0.0009897271,0.00033620407],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030580624,0.0012685928,0.00129888,0.003941086,0.0026192376,0.003687662,0.0026075195,0.0015870739,0.053620845],"category_scores_gemma":[0.0169805,0.0005278174,0.0021438315,0.002980062,0.0038649477,0.007444806,0.005013321,0.0061004465,0.0064403014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019250487,0.000011660198,0.00024214921,0.00006408163,0.000016520835,0.00008077265,0.00010807431,0.0008915349,0.00012273993,0.9728123,0.012782497,0.012848311],"study_design_scores_gemma":[0.000008586438,0.0000070019,0.0002566469,0.0000412778,0.0000080375075,0.00006879853,0.000052319945,0.004023402,0.00010873333,0.9765934,0.01882232,0.000009539062],"about_ca_topic_score_codex":0.009546545,"about_ca_topic_score_gemma":0.009650436,"teacher_disagreement_score":0.053620845,"about_ca_system_score_codex":0.0033424017,"about_ca_system_score_gemma":0.0016279124,"threshold_uncertainty_score":0.17937958},"labels":[],"label_agreement":null},{"id":"W200121462","doi":"10.1090/s0002-9939-06-08207-4","title":"Borel cardinalities below $c_0$","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Borel equivalence relation; Cardinality (data modeling); Quotient space (topology); Equivalence relation; Conjecture; Quotient; Combinatorics; Borel hierarchy; Borel set; Pairwise comparison; Discrete mathematics; Pure mathematics; Borel measure; Probability measure","score_opus":0.014837880326648734,"score_gpt":0.2788991808563477,"score_spread":0.26406130052969895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W200121462","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7739969,0.0013668071,0.050443187,0.0021682137,0.00027745735,0.0000633158,0.00039777512,0.00041761558,0.17086878],"genre_scores_gemma":[0.9859346,0.00028178468,0.0075539052,0.00012155754,0.00013602237,0.000053756008,0.00018996772,0.00002760862,0.005700788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988558,0.00014177633,0.000048650818,0.00030526964,0.00038741474,0.0002609962],"domain_scores_gemma":[0.9960978,0.0018809992,0.0004116663,0.0003395549,0.0006273388,0.00064266025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009292144,0.00046264878,0.0005157396,0.0018682496,0.002482161,0.0036030826,0.00067381375,0.0004917437,0.0041037374],"category_scores_gemma":[0.0038030306,0.00028593882,0.00045472948,0.0006492414,0.0043151285,0.0026755775,0.0016209023,0.0021804848,0.00045635595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000825071,0.00002579023,0.0017472559,0.000039479626,0.000010048258,0.00010366855,0.0003555285,0.0003735287,0.0065178797,0.9852055,0.000763455,0.0047752587],"study_design_scores_gemma":[0.00001858921,0.000058336576,0.00674485,0.000043220916,0.00002768532,0.00072277157,0.00080558355,0.006179437,0.016850326,0.95274615,0.015757548,0.000045397926],"about_ca_topic_score_codex":0.0015855952,"about_ca_topic_score_gemma":0.001555787,"teacher_disagreement_score":0.0041037374,"about_ca_system_score_codex":0.0018324824,"about_ca_system_score_gemma":0.0009908349,"threshold_uncertainty_score":0.01372844},"labels":[],"label_agreement":null},{"id":"W2005403657","doi":"10.1090/s0002-9939-07-09045-4","title":"A new construction of the unstable manifold for the measure-preserving H{é}non map","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Measure (data warehouse); Manifold (fluid mechanics); Mathematics; Computer science; Data mining; Engineering; Mechanical engineering","score_opus":0.020166926882365703,"score_gpt":0.2714878287204759,"score_spread":0.2513209018381102,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005403657","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14042363,0.0006795474,0.59967715,0.0022030652,0.001938825,0.0001995634,0.00055589655,0.0016137072,0.25270867],"genre_scores_gemma":[0.7362413,0.00067311333,0.12397247,0.0008447634,0.00080394576,0.00028265378,0.00068500853,0.0013958071,0.13510096],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995091,0.00008991279,0.000025776368,0.00014267363,0.00015039704,0.00008222363],"domain_scores_gemma":[0.9996164,0.0000659318,0.000035837238,0.000054436423,0.000112921785,0.00011437639],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005067057,0.00074812566,0.0004222772,0.0016874182,0.00198917,0.0020692546,0.00086941506,0.0011740179,0.015594258],"category_scores_gemma":[0.001025889,0.00028582106,0.00070041436,0.00052430964,0.0019125238,0.00285261,0.0026750993,0.0018142323,0.0030455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018167832,0.000011946545,0.00007929966,0.000024176476,0.000003817661,0.00012596142,0.00016958483,0.00045276154,0.002367716,0.98841316,0.0019458643,0.006387562],"study_design_scores_gemma":[0.00002610184,0.0000877676,0.00039740457,0.00002244547,0.000010890666,0.00033968515,0.0002486252,0.01504529,0.0050354167,0.9285114,0.05022992,0.00004505407],"about_ca_topic_score_codex":0.0009858542,"about_ca_topic_score_gemma":0.0008686326,"teacher_disagreement_score":0.015594258,"about_ca_system_score_codex":0.001347678,"about_ca_system_score_gemma":0.0006163641,"threshold_uncertainty_score":0.052167952},"labels":[],"label_agreement":null},{"id":"W2005941146","doi":"10.1090/s0002-9939-2014-11847-8","title":"Genus one open books with non-left-orderable fundamental group","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Semantics (computer science); Type (biology); Computer science; Genus; Artificial intelligence; Mathematics; Biology; Programming language; Zoology","score_opus":0.02304225105724639,"score_gpt":0.2734310799343583,"score_spread":0.2503888288771119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005941146","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63117003,0.000566362,0.10160696,0.0015569751,0.0004208895,0.00007456422,0.0005019496,0.0007458766,0.26335648],"genre_scores_gemma":[0.92929184,0.00034283355,0.020236028,0.00022489084,0.00019127656,0.000052334162,0.0007184822,0.00023108229,0.048711173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999619,0.00004055754,0.000018630748,0.00011448888,0.000109190536,0.000098199016],"domain_scores_gemma":[0.99942684,0.00011923962,0.000104091756,0.00009033555,0.00011487357,0.000144622],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020512831,0.00046848098,0.00044285168,0.001184359,0.0014474412,0.0023421238,0.00060095836,0.00081741344,0.013077122],"category_scores_gemma":[0.0010358903,0.0002967106,0.0007016577,0.00059552764,0.001972656,0.0036294647,0.0019293377,0.0015208944,0.0025628777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043076,0.000030931285,0.00046810246,0.000053295393,0.000008682397,0.0002852467,0.00053457165,0.0006167743,0.0025590295,0.98320264,0.0025867387,0.009610835],"study_design_scores_gemma":[0.000040405255,0.00006416779,0.001591611,0.000037288763,0.000029287714,0.0007331188,0.0008042295,0.007692161,0.006409578,0.93962884,0.042935345,0.000033861586],"about_ca_topic_score_codex":0.0009452313,"about_ca_topic_score_gemma":0.0010444944,"teacher_disagreement_score":0.013077122,"about_ca_system_score_codex":0.0011046907,"about_ca_system_score_gemma":0.00046916833,"threshold_uncertainty_score":0.043747306},"labels":[],"label_agreement":null},{"id":"W2006601960","doi":"10.1090/s0002-9939-2015-12307-6","title":"On the parity of the Fourier coefficients of $j$-function","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Division of Mathematical Sciences","keywords":"Ramanujan's sum; Combinatorics; Integer (computer science); Eisenstein series; Mathematics; Modular form; Fourier series; Function (biology); Interval (graph theory); Parity (physics); Pi; Physics; Mathematical analysis; Pure mathematics; Particle physics; Geometry","score_opus":0.04534998127389541,"score_gpt":0.30024816435632806,"score_spread":0.25489818308243267,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006601960","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7297787,0.0013871109,0.099356994,0.0026980846,0.0012118631,0.000029763632,0.00024478263,0.0002130655,0.16507967],"genre_scores_gemma":[0.97644705,0.000662584,0.009265794,0.00033585713,0.0003813058,0.000039939645,0.00010666135,0.00018938504,0.012571386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995198,0.00013295705,0.000018784931,0.000089087356,0.00010763884,0.00013174549],"domain_scores_gemma":[0.99926,0.0003035088,0.00008008302,0.00010441518,0.00014288804,0.0001090453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011500798,0.000656768,0.0005368891,0.0015097348,0.0011891746,0.0023313754,0.0010615967,0.00083119667,0.0051496346],"category_scores_gemma":[0.0035882453,0.0002485965,0.0004256646,0.000649819,0.0037034433,0.0027403827,0.0012564923,0.0015782514,0.0011900772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008603233,0.000014738131,0.00038067752,0.000025694713,0.0000038815124,0.00015672682,0.00017687402,0.0006591244,0.0035396656,0.9877495,0.0011741057,0.00603296],"study_design_scores_gemma":[0.000029792154,0.000056184545,0.00089992245,0.00005071162,0.000013257131,0.0004541815,0.0001491645,0.020910285,0.0054824706,0.9673728,0.0045233965,0.000057920897],"about_ca_topic_score_codex":0.000575791,"about_ca_topic_score_gemma":0.0003019474,"teacher_disagreement_score":0.0051496346,"about_ca_system_score_codex":0.0007550681,"about_ca_system_score_gemma":0.0005673173,"threshold_uncertainty_score":0.017227232},"labels":[],"label_agreement":null},{"id":"W2006647175","doi":"10.1090/s0002-9939-05-07764-6","title":"Free products arising from elements of finite order in simple rings","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Annotation; Algorithm; Semantics (computer science); Type (biology); Computer science; Mathematics; Artificial intelligence; Programming language","score_opus":0.03715091811763361,"score_gpt":0.3183638666817998,"score_spread":0.2812129485641662,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2006647175","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5056333,0.0028795113,0.24916194,0.0017322481,0.0009776986,0.00012429463,0.0008106006,0.0015480847,0.23713236],"genre_scores_gemma":[0.91842484,0.0009479604,0.02998545,0.00034888537,0.00069516106,0.00007443178,0.00042791868,0.00035639695,0.04873896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842983,0.00030062138,0.00011685232,0.0003857999,0.0005100883,0.00025674226],"domain_scores_gemma":[0.9980683,0.00080934004,0.00022960064,0.0002846278,0.00034823478,0.0002598557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001210231,0.0008806147,0.0008296015,0.0015235789,0.0015515175,0.0031650418,0.0007582866,0.00071213336,0.013193426],"category_scores_gemma":[0.0035887668,0.00062585704,0.0012225797,0.0010661529,0.0030285562,0.007796721,0.00280225,0.0016859149,0.0030138316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000104943916,0.000027952994,0.00032833137,0.00010978191,0.000015313195,0.00029374514,0.00078736653,0.00047195068,0.0018780567,0.9846534,0.0015785184,0.00975068],"study_design_scores_gemma":[0.000034948585,0.0000702447,0.0003851811,0.000022936156,0.000029642779,0.0004982964,0.00018757804,0.0018501623,0.0051495493,0.9778496,0.01389532,0.000026545022],"about_ca_topic_score_codex":0.0005541101,"about_ca_topic_score_gemma":0.0005523697,"teacher_disagreement_score":0.013193426,"about_ca_system_score_codex":0.0011518697,"about_ca_system_score_gemma":0.00057734014,"threshold_uncertainty_score":0.044136405},"labels":[],"label_agreement":null},{"id":"W2007311892","doi":"10.1090/s0002-9939-09-10257-5","title":"The singular extremal solutions of the bi-Laplacian with exponential nonlinearity","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Killam Trusts","keywords":"Mathematics; Exponential function; Nonlinear system; Laplace operator; Applied mathematics; Pure mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.012571796004263556,"score_gpt":0.2327335128927555,"score_spread":0.22016171688849195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007311892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52918744,0.0015046382,0.24925286,0.010018939,0.0007778335,0.00012569632,0.00060752226,0.0006464226,0.20787862],"genre_scores_gemma":[0.9030372,0.00060042064,0.02240843,0.00064664456,0.0003379267,0.00012942342,0.00033959118,0.00028559158,0.07221475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975663,0.00006240465,0.000008140168,0.000039206774,0.00006060083,0.00007313739],"domain_scores_gemma":[0.99938154,0.00019389205,0.00007093227,0.000041631574,0.00013097553,0.0001810578],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053430774,0.00096037163,0.0007806315,0.0014157507,0.0011800854,0.002417589,0.0013601532,0.0020708987,0.010337213],"category_scores_gemma":[0.0029120855,0.0003905629,0.0008002472,0.0005793458,0.0021576344,0.0022238174,0.0022832474,0.002058446,0.0013809713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013537754,0.000067516354,0.0005377978,0.00012538563,0.000035321005,0.00037705913,0.00020505815,0.04010228,0.0023446556,0.9451906,0.0054115895,0.005467448],"study_design_scores_gemma":[0.00003996809,0.000037453246,0.00058259786,0.00003935682,0.000014243604,0.00018129464,0.00030050593,0.38121027,0.0007962292,0.61437243,0.0023757902,0.000049872146],"about_ca_topic_score_codex":0.003594839,"about_ca_topic_score_gemma":0.0024855412,"teacher_disagreement_score":0.010337213,"about_ca_system_score_codex":0.0011886299,"about_ca_system_score_gemma":0.0010415923,"threshold_uncertainty_score":0.034581363},"labels":[],"label_agreement":null},{"id":"W2008019477","doi":"10.1090/s0002-9939-2011-10929-8","title":"On the boundary of Kähler cones","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Boundary (topology); Geology; Geometry; Mathematics; Mathematical analysis","score_opus":0.06285767710807498,"score_gpt":0.2747766582507891,"score_spread":0.21191898114271412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008019477","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8079998,0.0024921987,0.058784585,0.0015234395,0.00023406792,0.00006234193,0.0003294044,0.00031536567,0.12825882],"genre_scores_gemma":[0.98417836,0.00041170238,0.00497022,0.00014219726,0.000116522024,0.00002728732,0.00023997012,0.000116745716,0.009796931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952257,0.00010292079,0.000016387115,0.00009685698,0.00015853072,0.00010280622],"domain_scores_gemma":[0.9992569,0.00014757217,0.00010844905,0.000044156153,0.00020286858,0.00024014029],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052056886,0.00077583035,0.00056997687,0.002422387,0.0018269374,0.0020472636,0.0010396398,0.0011569958,0.0060251122],"category_scores_gemma":[0.0021438296,0.00039737046,0.00043794874,0.0007673944,0.0023999629,0.003104343,0.0014455554,0.0014688883,0.00095800875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041155323,0.000026803478,0.00071960734,0.00007270122,0.0000074501017,0.00037358145,0.00045645286,0.0027556366,0.0027471418,0.9874628,0.0016178895,0.003718673],"study_design_scores_gemma":[0.000026231737,0.00007627631,0.0026816442,0.0000707737,0.000011401933,0.0005698883,0.0005533625,0.04801228,0.0017847391,0.94115597,0.005016942,0.000040508996],"about_ca_topic_score_codex":0.0028289615,"about_ca_topic_score_gemma":0.0017983519,"teacher_disagreement_score":0.0060251122,"about_ca_system_score_codex":0.0013417891,"about_ca_system_score_gemma":0.0004846208,"threshold_uncertainty_score":0.020155966},"labels":[],"label_agreement":null},{"id":"W2008645160","doi":"10.1090/s0002-9939-2015-12463-x","title":"A fast flatness testing criterion in characteristic zero","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Flatness (cosmology); Morphism; Algebraic number; Torsion (gastropod); Zero (linguistics); Ring (chemistry)","score_opus":0.05739587863690252,"score_gpt":0.29809633555526555,"score_spread":0.24070045691836303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008645160","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29682124,0.00093313545,0.6113659,0.0058247987,0.00056260807,0.00021308828,0.0014400678,0.004877858,0.07796132],"genre_scores_gemma":[0.9361309,0.00031090647,0.049482107,0.00077683525,0.00032849764,0.00017810219,0.0009102354,0.0006646279,0.011217782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9943098,0.0009874938,0.00033864382,0.0012978505,0.0019992127,0.001066915],"domain_scores_gemma":[0.9785579,0.013882243,0.0006950889,0.0022737388,0.003529668,0.0010612782],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038872268,0.0014142812,0.0012349014,0.0035978565,0.0019150504,0.004162145,0.0022696792,0.0019820726,0.011596532],"category_scores_gemma":[0.022993898,0.0007230627,0.0025754266,0.0019436614,0.006641352,0.013418701,0.0062311734,0.006035035,0.0017487453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023345165,0.000041845717,0.0029302055,0.00017895263,0.000037557398,0.00033792053,0.00041492996,0.0049682097,0.003572338,0.9668191,0.0033778462,0.017087623],"study_design_scores_gemma":[0.00003579482,0.00008852842,0.00065156876,0.000054245767,0.000035686902,0.0001968623,0.00017132,0.02335987,0.005486922,0.96635246,0.0035219544,0.000044811935],"about_ca_topic_score_codex":0.003422572,"about_ca_topic_score_gemma":0.0027497527,"teacher_disagreement_score":0.011596532,"about_ca_system_score_codex":0.0035340236,"about_ca_system_score_gemma":0.0020126405,"threshold_uncertainty_score":0.03879428},"labels":[],"label_agreement":null},{"id":"W2009674539","doi":"10.1090/s0002-9939-05-08037-8","title":"Cube-approximating bounded wavelet sets in ℝⁿ","year":2005,"lang":"fi","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Image and Signal Denoising Methods","field":"Computer Science","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":"Bounded function; Cube (algebra); Wavelet; Mathematics; Computer science; Combinatorics; Artificial intelligence; Mathematical analysis","score_opus":0.021544873479345993,"score_gpt":0.2909304564553048,"score_spread":0.2693855829759588,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009674539","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14525785,0.0013635206,0.7820165,0.0016743081,0.00039233384,0.00005415831,0.0006488237,0.00055827224,0.068034284],"genre_scores_gemma":[0.7657853,0.0025556374,0.18225726,0.0007432607,0.00043977838,0.00019147724,0.0015982321,0.00056366756,0.045865495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872005,0.00023381595,0.00006553001,0.00023602719,0.0005310652,0.00021348796],"domain_scores_gemma":[0.9961527,0.0017780624,0.00036981495,0.0003281601,0.0009921459,0.00037916837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017064422,0.0011732755,0.0008673002,0.001941937,0.00077978504,0.0029702487,0.0012189391,0.00085279613,0.008112276],"category_scores_gemma":[0.0076242727,0.00047887894,0.0012359775,0.0012468974,0.002196698,0.0034005595,0.0035916292,0.0037859934,0.0019673384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012269152,0.000028105631,0.0005589576,0.00014710844,0.000034269277,0.00024084274,0.00043456728,0.009204116,0.0036935278,0.9610527,0.004184639,0.020298528],"study_design_scores_gemma":[0.000029489536,0.00008943513,0.00064837217,0.00008779719,0.000041777083,0.00036850732,0.00047310168,0.18801174,0.0047319015,0.7914483,0.0140296975,0.000039914645],"about_ca_topic_score_codex":0.0026133049,"about_ca_topic_score_gemma":0.0017751076,"teacher_disagreement_score":0.008112276,"about_ca_system_score_codex":0.0018444204,"about_ca_system_score_gemma":0.00068949984,"threshold_uncertainty_score":0.027138293},"labels":[],"label_agreement":null},{"id":"W2009786461","doi":"10.1090/s0002-9939-05-07907-4","title":"A topological Paley-Wiener property for locally compact groups","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Nilpotent; Property (philosophy); Mathematics; Locally compact space; Topological group; Topology (electrical circuits); Pure mathematics; Locally compact group; Group (periodic table); Combinatorics; Physics","score_opus":0.04686163612936353,"score_gpt":0.34420218990030393,"score_spread":0.2973405537709404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2009786461","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71154183,0.0006329313,0.1994311,0.0014419112,0.000209374,0.00006393602,0.00012459632,0.00017788821,0.086376406],"genre_scores_gemma":[0.98383254,0.0002636623,0.008713297,0.00011593815,0.00014897888,0.00003890878,0.00007651885,0.000032890704,0.0067772297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970466,0.00004733695,0.000018272556,0.000060942628,0.00009822879,0.00007058568],"domain_scores_gemma":[0.9990884,0.00030751404,0.00017744958,0.00015769979,0.00009604894,0.00017290442],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006879439,0.0003609319,0.00046926513,0.0011461676,0.001451724,0.0020062344,0.0005269972,0.0008974005,0.0044381157],"category_scores_gemma":[0.0022739605,0.00021406873,0.0005954493,0.0007321415,0.003181561,0.0049942215,0.0029442164,0.0012529017,0.000399807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012648718,0.000008259977,0.00032689457,0.000021368269,0.0000048722013,0.00011894327,0.00026450775,0.00038678752,0.0022954568,0.99349385,0.00022331363,0.0028430405],"study_design_scores_gemma":[0.000009288391,0.000035266778,0.00042179576,0.000007718434,0.000006559614,0.00030589785,0.00018925697,0.0031844585,0.0023577595,0.99115413,0.0023195138,0.000008419563],"about_ca_topic_score_codex":0.00017062807,"about_ca_topic_score_gemma":0.0001265385,"teacher_disagreement_score":0.0044381157,"about_ca_system_score_codex":0.00037807287,"about_ca_system_score_gemma":0.0002803133,"threshold_uncertainty_score":0.014846921},"labels":[],"label_agreement":null},{"id":"W2011967700","doi":"10.1090/s0002-9939-2011-11018-9","title":"Monomials as sums of powers: The real binary case","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Göran Gustafssons Stiftelser","keywords":"Algorithm; Artificial intelligence; Computer science; Annotation","score_opus":0.02588345380878841,"score_gpt":0.25720887769434336,"score_spread":0.23132542388555496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011967700","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07651318,0.0026535087,0.43747842,0.004517248,0.0023231353,0.00013422304,0.00076041877,0.0006892156,0.47493064],"genre_scores_gemma":[0.7894171,0.0040979884,0.0838604,0.0015512487,0.0019890969,0.0001340484,0.00068193587,0.00077367405,0.117494516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988135,0.00020361066,0.00006823161,0.0002177107,0.00042479025,0.00027210906],"domain_scores_gemma":[0.99940896,0.00018025885,0.00007546148,0.00011194982,0.00014865182,0.00007470079],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001139032,0.00096486794,0.0006190496,0.0016776322,0.0018045538,0.002940501,0.0009716224,0.0006350611,0.0167652],"category_scores_gemma":[0.0028756834,0.0004206169,0.0012508008,0.0016573203,0.0037094813,0.0062507894,0.002717989,0.00264948,0.006203141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020666806,0.000010082846,0.000080400154,0.000038683364,0.000004861445,0.00015765261,0.00014090509,0.00041048776,0.00039784852,0.98909456,0.0033456308,0.0062981327],"study_design_scores_gemma":[0.000012033196,0.0000139408985,0.00012513816,0.000022897122,0.000011199979,0.0002188914,0.000096770855,0.0031447131,0.0010086737,0.9692226,0.026109496,0.000013515422],"about_ca_topic_score_codex":0.0019200589,"about_ca_topic_score_gemma":0.0019901188,"teacher_disagreement_score":0.0167652,"about_ca_system_score_codex":0.0012939612,"about_ca_system_score_gemma":0.00054734776,"threshold_uncertainty_score":0.05608523},"labels":[],"label_agreement":null},{"id":"W2012766903","doi":"10.1090/s0002-9939-06-08628-x","title":"Irreducible characters which are zero on only one conjugacy class","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Conjugacy class; Zero (linguistics); Class (philosophy); Mathematics; Pure mathematics; Computer science; Linguistics; Artificial intelligence; Philosophy","score_opus":0.04055305295493889,"score_gpt":0.3022584499359576,"score_spread":0.2617053969810187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012766903","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38218415,0.00023162737,0.10877207,0.0029286658,0.0012120699,0.00018286696,0.00059340557,0.0020337412,0.5018614],"genre_scores_gemma":[0.89062357,0.00023574619,0.015460988,0.0006889884,0.0002781045,0.00009774273,0.0007721163,0.0006787564,0.09116405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987143,0.00013034735,0.000062073224,0.00027020575,0.00033686552,0.000486247],"domain_scores_gemma":[0.9989242,0.00031849812,0.00011273818,0.00025353636,0.00021454936,0.00017639952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055300444,0.00097559625,0.00082164654,0.0010874558,0.0025146632,0.0028807193,0.0008764676,0.0011731538,0.022899657],"category_scores_gemma":[0.0029969022,0.0003659459,0.0011881613,0.0007429318,0.0040808194,0.0040624444,0.0029769156,0.0029577396,0.0056580356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007016895,0.000075492026,0.00067425915,0.000058493868,0.000012179961,0.0005674597,0.00071205094,0.00028764934,0.00262006,0.9804144,0.0046154857,0.009892304],"study_design_scores_gemma":[0.000054880096,0.00007779893,0.00088003953,0.000048212576,0.00003437038,0.00070158084,0.000765335,0.0040762355,0.0146201365,0.942467,0.03622707,0.000047403],"about_ca_topic_score_codex":0.0019273235,"about_ca_topic_score_gemma":0.0016638862,"teacher_disagreement_score":0.022899657,"about_ca_system_score_codex":0.0016495371,"about_ca_system_score_gemma":0.0013736574,"threshold_uncertainty_score":0.07660699},"labels":[],"label_agreement":null},{"id":"W2014284591","doi":"10.1090/s0002-9939-08-09465-3","title":"On a desingularization of the moduli space of noncommutative tori","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Noncommutative geometry; Moduli space; Mathematics; Torus; Pure mathematics; Moduli; Space (punctuation); Physics; Geometry; Philosophy; Linguistics","score_opus":0.03459563108033621,"score_gpt":0.3209883327968226,"score_spread":0.2863927017164864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014284591","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5349923,0.0028147968,0.13946855,0.0041083363,0.001260017,0.00010409233,0.0006517974,0.0009243488,0.31567574],"genre_scores_gemma":[0.9276105,0.0011614874,0.014239203,0.0003222931,0.00054546923,0.000059542257,0.00042924125,0.00033625934,0.055296015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994191,0.00011796546,0.000029721448,0.00015123551,0.00018658715,0.00009552906],"domain_scores_gemma":[0.9997137,0.000063448286,0.000054233304,0.000059977978,0.00004946138,0.000059168175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005259595,0.0010978705,0.00061644404,0.001494715,0.0018666241,0.0024209046,0.00067350495,0.0006150963,0.012516151],"category_scores_gemma":[0.0009296634,0.000332313,0.0008262368,0.001084544,0.0029195342,0.0042891,0.0019707577,0.0021468152,0.0021868153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002353117,0.000010583544,0.00007253083,0.000039396586,0.0000056465706,0.000116336705,0.00035586575,0.00061648793,0.0015222824,0.99257106,0.0013287502,0.0033376704],"study_design_scores_gemma":[0.00001299723,0.00003712102,0.00044837367,0.000019214616,0.000008628513,0.00024322502,0.0002771538,0.004853365,0.0023609435,0.9796704,0.01204741,0.000021065405],"about_ca_topic_score_codex":0.0008330692,"about_ca_topic_score_gemma":0.0007233129,"teacher_disagreement_score":0.012516151,"about_ca_system_score_codex":0.0011240398,"about_ca_system_score_gemma":0.0006064091,"threshold_uncertainty_score":0.041870654},"labels":[],"label_agreement":null},{"id":"W2015217046","doi":"10.1090/s0002-9939-2013-11571-6","title":"Pick interpolation in several variables","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Annotation; Algorithm; Interpolation (computer graphics); Factorization; Bounded function; Computer science; Artificial intelligence; Mathematics; Mathematical analysis; Image (mathematics)","score_opus":0.01659675453250745,"score_gpt":0.26336665064089737,"score_spread":0.24676989610838992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015217046","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.058450446,0.0016684032,0.8707528,0.0020728495,0.000595465,0.00005390177,0.00028087443,0.00034034462,0.065784864],"genre_scores_gemma":[0.6826492,0.0017863222,0.2464173,0.0009007174,0.0007271878,0.00017833312,0.000549714,0.0008694521,0.065921806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989021,0.00034266154,0.000039124796,0.00020495665,0.0003191375,0.00019192007],"domain_scores_gemma":[0.9984981,0.00069131254,0.00020164017,0.00018908987,0.0002268715,0.00019306278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026325502,0.0008613614,0.0012037583,0.002642614,0.0025027762,0.0021378389,0.0017438793,0.0011577648,0.012191595],"category_scores_gemma":[0.0057534967,0.00045764187,0.0017981756,0.0018241501,0.0035237113,0.0042159604,0.0045741573,0.0038043857,0.0019324209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004524227,0.000010625558,0.000185349,0.000052767115,0.000009706269,0.00004133306,0.00009219596,0.0036967087,0.0003122145,0.9899414,0.0009307689,0.004681794],"study_design_scores_gemma":[0.0000177565,0.000033845805,0.00018010076,0.00003991214,0.000014602505,0.000052359905,0.000104400075,0.049207486,0.0010194946,0.94230413,0.0070043583,0.000021642978],"about_ca_topic_score_codex":0.0035429853,"about_ca_topic_score_gemma":0.003363905,"teacher_disagreement_score":0.012191595,"about_ca_system_score_codex":0.0019067634,"about_ca_system_score_gemma":0.0011570966,"threshold_uncertainty_score":0.040784955},"labels":[],"label_agreement":null},{"id":"W2016185596","doi":"10.1090/s0002-9939-09-09840-2","title":"A remark on Polignac’s conjecture","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Integer (computer science); Conjecture; Mathematics; Set (abstract data type); Combinatorics; Discrete mathematics; Natural density; Computer science","score_opus":0.027757851748330953,"score_gpt":0.330295369485607,"score_spread":0.30253751773727605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016185596","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.042338204,0.005283481,0.13507424,0.23446701,0.005760137,0.00011987635,0.0015907465,0.0013833726,0.57398295],"genre_scores_gemma":[0.8168349,0.0047817347,0.05270736,0.042379137,0.0066211973,0.00056638336,0.0013566044,0.00047024337,0.07428248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971957,0.0006456766,0.00010047081,0.0009538406,0.0007594414,0.0003448213],"domain_scores_gemma":[0.9940414,0.0035652837,0.00026396112,0.0011871371,0.000701552,0.00024060214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003847967,0.0006215465,0.0011352001,0.001809241,0.0036183968,0.0035212527,0.0024961294,0.0028054256,0.022490973],"category_scores_gemma":[0.013775223,0.000451741,0.0010070009,0.0020421261,0.010192526,0.01029619,0.0052953456,0.0070487373,0.0029339935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003871105,0.00000788458,0.00025952948,0.000060076294,0.000006927144,0.00008620202,0.00027548627,0.0002718041,0.000110146335,0.9768548,0.017846048,0.0041823545],"study_design_scores_gemma":[0.000022494958,0.0000119371425,0.00038098646,0.0000404204,0.000007440227,0.00019451944,0.0001008685,0.0011722519,0.00019968403,0.955948,0.041908484,0.000012983053],"about_ca_topic_score_codex":0.003645966,"about_ca_topic_score_gemma":0.0014004236,"teacher_disagreement_score":0.022490973,"about_ca_system_score_codex":0.0020782542,"about_ca_system_score_gemma":0.00087083486,"threshold_uncertainty_score":0.07523984},"labels":[],"label_agreement":null},{"id":"W2016325574","doi":"10.1090/s0002-9939-2011-11115-8","title":"The image and kernel of Atkin’s 𝑈_{𝑝} operator modulo 𝑝","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Modulo; Mathematics; Kernel (algebra); Image (mathematics); Operator (biology); Arithmetic; Computer science; Pure mathematics; Discrete mathematics; Artificial intelligence; Biology","score_opus":0.023696374277573904,"score_gpt":0.2755906513041448,"score_spread":0.25189427702657086,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016325574","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5164598,0.0005047084,0.2484361,0.0014822737,0.0008213983,0.000090828675,0.0007956786,0.0027408442,0.22866833],"genre_scores_gemma":[0.914692,0.0003278256,0.030950608,0.00023199033,0.0003150513,0.000056535817,0.0004632816,0.0016931073,0.051269613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994211,0.000052396357,0.000015617195,0.00013009348,0.00018418365,0.00019664183],"domain_scores_gemma":[0.99951434,0.00010333863,0.00006659825,0.00006110665,0.0001503951,0.0001042837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005182679,0.0007388273,0.0005486821,0.0016291963,0.00083599077,0.0024876522,0.0009087346,0.00058373756,0.020738449],"category_scores_gemma":[0.001689643,0.00023966949,0.00079694105,0.0006039335,0.0017779574,0.0034413813,0.0018633708,0.0016332275,0.0045048012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017211781,0.00006249355,0.00084886973,0.00010291768,0.000019475596,0.00024913953,0.0005893641,0.0020417336,0.0063834856,0.94956195,0.009091565,0.030876836],"study_design_scores_gemma":[0.000058719932,0.00016608421,0.0025484734,0.0000790414,0.00004255161,0.00063137704,0.00062250026,0.030704213,0.023692004,0.90449697,0.03686889,0.0000891026],"about_ca_topic_score_codex":0.0016189434,"about_ca_topic_score_gemma":0.0011337072,"teacher_disagreement_score":0.020738449,"about_ca_system_score_codex":0.0013142626,"about_ca_system_score_gemma":0.0005825293,"threshold_uncertainty_score":0.069377065},"labels":[],"label_agreement":null},{"id":"W2016483521","doi":"10.1090/s0002-9939-2011-11114-6","title":"On a class of polynomials related to Barker sequences","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Simon Fraser University","keywords":"Combinatorics; Conjecture; Integer (computer science); Mathematics; Polynomial; Class (philosophy); Class number; Mathematical analysis; Quadratic equation","score_opus":0.013968269976705555,"score_gpt":0.2674592242515247,"score_spread":0.25349095427481916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016483521","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19873244,0.0024225737,0.36042628,0.0026362676,0.0018912075,0.0001749876,0.001422047,0.0014065197,0.43088767],"genre_scores_gemma":[0.7539424,0.0018578949,0.05660651,0.0013077322,0.001588784,0.00019249064,0.0016285393,0.00086480967,0.18201081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991411,0.00013333425,0.00003040041,0.00021979748,0.00026834678,0.00020705385],"domain_scores_gemma":[0.99889994,0.0003361072,0.00017479334,0.00012223193,0.00027762595,0.00018935405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063607935,0.0009819663,0.000670042,0.00233366,0.0022070296,0.0026768274,0.00091032835,0.00093420973,0.025783943],"category_scores_gemma":[0.003449074,0.0003397846,0.0010348369,0.001807973,0.0022352415,0.0036245326,0.0021715632,0.002565762,0.0063518225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048323738,0.000019556739,0.00019649175,0.000047492136,0.0000068747117,0.00012258533,0.00028247092,0.00079243444,0.00075091043,0.9801414,0.0040520667,0.013539455],"study_design_scores_gemma":[0.000026347678,0.00004224714,0.0005504659,0.000039337825,0.000012516403,0.00026019482,0.00015215113,0.006446028,0.00097156136,0.95993674,0.03153414,0.000028341648],"about_ca_topic_score_codex":0.0040274328,"about_ca_topic_score_gemma":0.0033795198,"teacher_disagreement_score":0.025783943,"about_ca_system_score_codex":0.0020621263,"about_ca_system_score_gemma":0.00085480727,"threshold_uncertainty_score":0.08625591},"labels":[],"label_agreement":null},{"id":"W2016712969","doi":"10.1090/s0002-9939-2010-10396-9","title":"Classifying Cantor sets by their fractal dimensions","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Secretaría de Ciencia y Técnica, Universidad de Buenos Aires; Agencia Nacional de Promoción Científica y Tecnológica; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Cantor function; Mathematics; Cantor's diagonal argument; Hausdorff dimension; Monotone polygon; Cantor set; Fractal dimension; Fractal; Dimension (graph theory); Combinatorics; Mathematical analysis; Geometry","score_opus":0.018714268138919726,"score_gpt":0.2849514583948192,"score_spread":0.2662371902558995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016712969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82129896,0.0029209033,0.11951674,0.0009749217,0.00024408354,0.00008356497,0.0005884548,0.0002290697,0.054143388],"genre_scores_gemma":[0.97145647,0.0010025807,0.017967911,0.00014268034,0.00025351005,0.00012745072,0.00052588247,0.000063788015,0.0084598055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986035,0.0002620232,0.00008830555,0.00020301415,0.0005490799,0.0002940659],"domain_scores_gemma":[0.9954045,0.0019564761,0.00090953393,0.00029254047,0.00083764346,0.00059932854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012494981,0.0009384079,0.00064772286,0.0055920826,0.0020250364,0.0038843418,0.0007164085,0.0011249455,0.0052449405],"category_scores_gemma":[0.0065454324,0.0003795231,0.0007931348,0.002008812,0.0041137664,0.0032754645,0.0020527341,0.0014421894,0.0004929876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006485331,0.000018614235,0.0019930454,0.00006806091,0.000017481203,0.00008169007,0.00046411494,0.0027477166,0.0024851346,0.9809076,0.0012206386,0.009930987],"study_design_scores_gemma":[0.000030599705,0.00012321149,0.006553006,0.00012386915,0.000029132718,0.0004597423,0.00092498236,0.045493662,0.0037746064,0.9297584,0.012607577,0.00012108583],"about_ca_topic_score_codex":0.0033230926,"about_ca_topic_score_gemma":0.0018470479,"teacher_disagreement_score":0.0055920826,"about_ca_system_score_codex":0.0026807855,"about_ca_system_score_gemma":0.0006939909,"threshold_uncertainty_score":0.019450486},"labels":[],"label_agreement":null},{"id":"W2019572884","doi":"10.1090/s0002-9939-2010-10488-4","title":"A Schwarz–Pick Theorem for higher-order hyperbolic derivatives","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Order (exchange); Schwarz alternating method; Mathematics; Additive Schwarz method; Pure mathematics; Engineering; Economics; Structural engineering","score_opus":0.022111817013194052,"score_gpt":0.28745616511098654,"score_spread":0.2653443480977925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019572884","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17041089,0.0036363439,0.5732772,0.0037406448,0.0014569233,0.000068344976,0.00035538073,0.00031841086,0.24673586],"genre_scores_gemma":[0.83578205,0.0028360325,0.09031041,0.0013909402,0.0012013604,0.00006869148,0.0003217442,0.000283326,0.06780546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954236,0.00008515377,0.000031196156,0.00007936485,0.00020157694,0.000060329705],"domain_scores_gemma":[0.9991709,0.00027582698,0.00010106266,0.00012451863,0.00020350817,0.00012424306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012854872,0.00073387916,0.00046469783,0.002111803,0.0010612488,0.0016557446,0.0008364338,0.00066031434,0.007835408],"category_scores_gemma":[0.0024596984,0.0002509388,0.0011314529,0.0010788131,0.003035999,0.0039004285,0.0025433418,0.002656878,0.0012191329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009561727,0.0000031410996,0.000093053015,0.000019162677,0.000005015788,0.00005459428,0.00008573419,0.00047948427,0.00095803477,0.9940089,0.0008603536,0.0034228868],"study_design_scores_gemma":[0.000009267394,0.000024978712,0.00032713768,0.000014161995,0.000009698549,0.00029379496,0.000063732296,0.005107597,0.001773072,0.9802281,0.012132386,0.000016015018],"about_ca_topic_score_codex":0.000612175,"about_ca_topic_score_gemma":0.0004985998,"teacher_disagreement_score":0.007835408,"about_ca_system_score_codex":0.0010153779,"about_ca_system_score_gemma":0.00045612955,"threshold_uncertainty_score":0.026212096},"labels":[],"label_agreement":null},{"id":"W2019693995","doi":"10.1090/s0002-9939-08-09373-8","title":"Zero sets of smooth functions in the Pfaffian closure of an o-minimal structure","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pfaffian; Closure (psychology); Mathematics; Zero (linguistics); Bounded function; Function (biology); Set (abstract data type); Combinatorics; Mathematical analysis; Computer science","score_opus":0.023145299560034464,"score_gpt":0.2947451101708458,"score_spread":0.27159981061081134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2019693995","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8866645,0.00041632907,0.085576765,0.00037935528,0.0000724919,0.00003245893,0.00018442047,0.00013409431,0.026539449],"genre_scores_gemma":[0.9869097,0.00016796816,0.00953921,0.00005596272,0.000047221743,0.00003738256,0.0001674102,0.000020901114,0.003054278],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951124,0.000063667925,0.00003287756,0.00012427614,0.000117914016,0.00015000145],"domain_scores_gemma":[0.99907637,0.000373835,0.00014443073,0.00007164262,0.00013118464,0.00020255742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006303636,0.0006820003,0.00066626817,0.0014524395,0.0019294434,0.0022997437,0.00079736987,0.0006197054,0.0020728852],"category_scores_gemma":[0.0016623694,0.00032448224,0.00091867225,0.0006405828,0.0038054285,0.003985746,0.0026999228,0.0016315192,0.00027037834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008002791,0.000031920452,0.0010983788,0.00004936267,0.000013682989,0.00023806038,0.0007010385,0.0009610734,0.0058663385,0.98790014,0.00024374347,0.0028163097],"study_design_scores_gemma":[0.000040935418,0.000119282835,0.001782217,0.000042201915,0.000040122944,0.0003404747,0.0010275206,0.0098122815,0.010366824,0.97240037,0.003986768,0.0000410657],"about_ca_topic_score_codex":0.0011492956,"about_ca_topic_score_gemma":0.0010629714,"teacher_disagreement_score":0.0022997437,"about_ca_system_score_codex":0.0013370947,"about_ca_system_score_gemma":0.0005964888,"threshold_uncertainty_score":0.009701371},"labels":[],"label_agreement":null},{"id":"W2021047043","doi":"10.1090/s0002-9939-2014-12425-7","title":"Recognizing products of surfaces and simply connected 4-manifolds","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Diffeomorphism; Manifold (fluid mechanics); Intersection (aeronautics); Mathematics; Isometry (Riemannian geometry); Pure mathematics; Product (mathematics); Surface (topology); Simply connected space; Group (periodic table); Topology (electrical circuits); Combinatorics; Geometry; Physics; Geography; Engineering","score_opus":0.03179783561866691,"score_gpt":0.2836854113089085,"score_spread":0.2518875756902416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021047043","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5377695,0.00037718867,0.406837,0.000436418,0.00017660411,0.00014619454,0.00048085107,0.001933501,0.05184279],"genre_scores_gemma":[0.8796869,0.00022829308,0.10240296,0.000102806276,0.00009305656,0.00012186946,0.0015736066,0.00046630562,0.015324343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985347,0.00015352877,0.0001476676,0.0005547562,0.00041222895,0.00019706774],"domain_scores_gemma":[0.9982564,0.00050090416,0.0002697218,0.00029368824,0.0004813435,0.00019793844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008312961,0.00093274086,0.0006713361,0.0015924324,0.00093706464,0.002742175,0.0010229669,0.0013349564,0.009307871],"category_scores_gemma":[0.0038931726,0.0008363688,0.0014269169,0.0007022688,0.0024724128,0.005779419,0.0037901015,0.0014643269,0.002539771],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014933957,0.00005733193,0.004428311,0.00020420653,0.000038862003,0.0010672732,0.0018312001,0.008323632,0.01715593,0.9269347,0.003054788,0.03675439],"study_design_scores_gemma":[0.000030095345,0.00021357155,0.003126095,0.00007640261,0.00006410312,0.00114091,0.0013708964,0.058200426,0.035306115,0.8742162,0.026155531,0.000099637626],"about_ca_topic_score_codex":0.0012984364,"about_ca_topic_score_gemma":0.0012914194,"teacher_disagreement_score":0.009307871,"about_ca_system_score_codex":0.0007418228,"about_ca_system_score_gemma":0.00056154805,"threshold_uncertainty_score":0.031137884},"labels":[],"label_agreement":null},{"id":"W2021781165","doi":"10.1090/s0002-9939-09-09998-5","title":"On the amenability of partial and enveloping actions","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Invariant (physics); Action (physics); Pure mathematics; Mathematics; Morita therapy; Discrete group; Representation (politics); Algebra over a field; Group (periodic table); Physics; Mathematical physics","score_opus":0.05242081016172194,"score_gpt":0.35529448082181403,"score_spread":0.3028736706600921,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021781165","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80519134,0.0005637773,0.11480311,0.00089418597,0.0000780325,0.000042253607,0.00013975662,0.00020565453,0.0780819],"genre_scores_gemma":[0.9927093,0.00015378033,0.0035988842,0.000046782734,0.00007076624,0.000024276904,0.00006379676,0.000020210486,0.0033122713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942684,0.00014551684,0.000030620056,0.000108218475,0.000132914,0.00015581961],"domain_scores_gemma":[0.9977112,0.0010022417,0.00031005792,0.0002457682,0.00018452005,0.00054626225],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097375753,0.00030790947,0.00046196947,0.0013732055,0.0012059544,0.001474343,0.00037612318,0.00045324254,0.0055156755],"category_scores_gemma":[0.0028997022,0.00018721564,0.0007147381,0.00059308746,0.0039480594,0.002359516,0.0030912948,0.0011889141,0.00027938056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026716216,0.000012130602,0.0005389371,0.000021228356,0.000006710319,0.00014250653,0.00047335442,0.0007822122,0.0019962988,0.9933042,0.00016175001,0.0025340642],"study_design_scores_gemma":[0.000008323432,0.000041077543,0.00080423127,0.000012348239,0.000008705297,0.0001657798,0.0002753547,0.004945612,0.0007762455,0.99105865,0.0018931185,0.000010587695],"about_ca_topic_score_codex":0.0008049561,"about_ca_topic_score_gemma":0.00059025147,"teacher_disagreement_score":0.0055156755,"about_ca_system_score_codex":0.0006247959,"about_ca_system_score_gemma":0.0002888148,"threshold_uncertainty_score":0.01845175},"labels":[],"label_agreement":null},{"id":"W2022519135","doi":"10.1090/s0002-9939-2014-11970-8","title":"The Bannai-Ito polynomials as Racah coefficients of the 𝑠𝑙₋₁(2) algebra","year":2014,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies; Centre de Recherches Mathématiques","keywords":"Algebra over a field; Mathematics; Filtered algebra; Symmetric algebra; Cellular algebra; Pure mathematics; Algebra representation","score_opus":0.018670147572109424,"score_gpt":0.30471696891952144,"score_spread":0.286046821347412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022519135","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10427858,0.0007237825,0.22348389,0.0015999152,0.001810797,0.00012017308,0.0008469352,0.0019523455,0.6651835],"genre_scores_gemma":[0.699425,0.0010308301,0.06214674,0.0010590905,0.0008391637,0.0001484105,0.0008422545,0.002004941,0.23250362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937445,0.00011240725,0.000025149016,0.00008490141,0.00025964054,0.00014351695],"domain_scores_gemma":[0.99961674,0.000090089765,0.000045571272,0.000052056137,0.00012888074,0.000066635956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000543183,0.00061135576,0.00045435774,0.0014618866,0.0013571836,0.002348584,0.0006208438,0.00058168377,0.031991992],"category_scores_gemma":[0.0018753863,0.00035418555,0.00075653556,0.001316724,0.001587943,0.0033783077,0.0013075878,0.0018368914,0.010842391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036619233,0.000010380189,0.00009802413,0.000033635693,0.0000027142175,0.00008735766,0.00024254984,0.00034396356,0.0009626726,0.98039114,0.0073109055,0.010479962],"study_design_scores_gemma":[0.00002503918,0.000035112917,0.0006338146,0.000045871973,0.0000132806435,0.0003946257,0.0003147527,0.008122259,0.00536468,0.8859469,0.09904575,0.000057832694],"about_ca_topic_score_codex":0.00216033,"about_ca_topic_score_gemma":0.0025129283,"teacher_disagreement_score":0.031991992,"about_ca_system_score_codex":0.0010444024,"about_ca_system_score_gemma":0.0007265827,"threshold_uncertainty_score":0.107023835},"labels":[],"label_agreement":null},{"id":"W2022730753","doi":"10.1090/s0002-9939-08-08918-1","title":"On a fragment of the universal Baire property for Σ¹₂ sets","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Baire measure; Omega; Sigma; Baire space; Baire category theorem; Equivalence (formal languages); Pure mathematics; Combinatorics; Discrete mathematics; Physics","score_opus":0.027225744521825836,"score_gpt":0.2840727604013193,"score_spread":0.25684701587949343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022730753","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.061130002,0.0022116823,0.6372176,0.0039138747,0.0007891284,0.00013580716,0.0016001865,0.002152159,0.29084963],"genre_scores_gemma":[0.72539407,0.002149268,0.16990937,0.0037890936,0.0012633408,0.00032896394,0.0040997365,0.0019065491,0.09115967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972951,0.00034331565,0.00019013506,0.0008899081,0.0009462774,0.000335341],"domain_scores_gemma":[0.9969446,0.0014307977,0.000165522,0.0006275498,0.0006590063,0.00017250117],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018605331,0.0009056295,0.001225379,0.002198869,0.0029517077,0.003991438,0.0014801951,0.0014978767,0.019586138],"category_scores_gemma":[0.0057365308,0.00087561295,0.0030906848,0.0023054706,0.0049905195,0.015276227,0.004658728,0.004484151,0.003564668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023428855,0.000009746549,0.000110480105,0.000049418573,0.000008987611,0.000085997366,0.00028486468,0.00028859335,0.0006453181,0.98935765,0.0021257615,0.0070097833],"study_design_scores_gemma":[0.000011724757,0.000026443475,0.0003693939,0.000027479167,0.000017574626,0.00020300366,0.000115324576,0.0021722268,0.0011005523,0.9790571,0.016875949,0.000023184],"about_ca_topic_score_codex":0.0065001384,"about_ca_topic_score_gemma":0.00568616,"teacher_disagreement_score":0.019586138,"about_ca_system_score_codex":0.0027156272,"about_ca_system_score_gemma":0.0008268385,"threshold_uncertainty_score":0.065522194},"labels":[],"label_agreement":null},{"id":"W2023707737","doi":"10.1090/s0002-9939-05-08086-x","title":"A minimal pair of 𝐾-degrees","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Computer science","score_opus":0.014031969935496914,"score_gpt":0.2441160346080103,"score_spread":0.23008406467251338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023707737","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21644568,0.00089318835,0.5773773,0.0033637157,0.00069556345,0.00031973416,0.0026578265,0.0023045365,0.19594243],"genre_scores_gemma":[0.75261843,0.0004616638,0.1804232,0.0010076243,0.00017243778,0.00034618456,0.0029459172,0.0008050707,0.0612195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976057,0.00046252855,0.0001461043,0.0006749933,0.00063523365,0.00047533584],"domain_scores_gemma":[0.99770963,0.0006299902,0.00015517834,0.00027876033,0.00073372613,0.00049272086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012269638,0.0010206574,0.00084003207,0.0014554968,0.0019690215,0.0029326545,0.0013623948,0.0011224134,0.018496905],"category_scores_gemma":[0.0045770085,0.0009120053,0.0017132498,0.00073147274,0.0020850543,0.005498651,0.0045015733,0.0028900702,0.0041024885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016991056,0.00007495458,0.0008055291,0.00020394713,0.000041619995,0.00026807448,0.0004231363,0.0014909441,0.0047022407,0.9717743,0.0053062458,0.014739177],"study_design_scores_gemma":[0.00007029145,0.000099025354,0.00072147365,0.00009099895,0.000052352327,0.00045039994,0.0004952335,0.0068544927,0.0076865177,0.94548005,0.037939917,0.000059182017],"about_ca_topic_score_codex":0.00092714425,"about_ca_topic_score_gemma":0.0018817936,"teacher_disagreement_score":0.018496905,"about_ca_system_score_codex":0.0022431358,"about_ca_system_score_gemma":0.0010728376,"threshold_uncertainty_score":0.061878324},"labels":[],"label_agreement":null},{"id":"W2023845030","doi":"10.1090/s0002-9939-06-08611-4","title":"Sequences of consecutive smooth polynomials over a finite field","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","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":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Finite field; Mathematics; Field (mathematics); Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.008015191550753458,"score_gpt":0.23347816049446432,"score_spread":0.22546296894371087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023845030","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36482474,0.0015546973,0.46010032,0.0033576596,0.0014657452,0.00016300881,0.0018095049,0.0032320304,0.16349225],"genre_scores_gemma":[0.8269603,0.0012555501,0.09746073,0.00068158825,0.000510006,0.00020999703,0.002048909,0.0013703938,0.06950256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880373,0.00020914237,0.000055594384,0.00025635952,0.0004351824,0.00023992681],"domain_scores_gemma":[0.9973023,0.0010900393,0.00027301683,0.00031876983,0.000746995,0.00026891383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008977401,0.0010955308,0.00056053203,0.0017389555,0.0019703244,0.0018801526,0.00089539075,0.000769334,0.016457822],"category_scores_gemma":[0.0061565298,0.0005413938,0.0010354172,0.0016151305,0.0018563662,0.003873488,0.0022550926,0.0022499368,0.003452698],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026805478,0.00009474793,0.0016983335,0.00033556155,0.00004301644,0.0011144595,0.0009424992,0.0026482358,0.008436158,0.92878944,0.009653488,0.045975912],"study_design_scores_gemma":[0.00015384081,0.00023442738,0.0048651164,0.00027027988,0.00008841871,0.00203441,0.000995576,0.024463903,0.022626713,0.8575559,0.08655824,0.00015306521],"about_ca_topic_score_codex":0.0019403009,"about_ca_topic_score_gemma":0.0026276081,"teacher_disagreement_score":0.016457822,"about_ca_system_score_codex":0.0017273411,"about_ca_system_score_gemma":0.00085307454,"threshold_uncertainty_score":0.05505693},"labels":[],"label_agreement":null},{"id":"W2023968242","doi":"10.1090/s0002-9939-08-09319-2","title":"On patterns occurring in binary algebraic numbers","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Agence Nationale de la Recherche","keywords":"Algorithm; Annotation; Computer science; Semantics (computer science); Artificial intelligence; Database; Programming language","score_opus":0.01126064086272584,"score_gpt":0.23126106091550425,"score_spread":0.2200004200527784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023968242","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17263365,0.001708559,0.66535527,0.005381799,0.0015492486,0.0002955937,0.0012707721,0.0030737452,0.14873134],"genre_scores_gemma":[0.6680467,0.0018448937,0.27189338,0.0022805755,0.0010416606,0.00049068703,0.002380397,0.0014208978,0.05060076],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99484503,0.0010149453,0.00054587313,0.0013554214,0.0015927508,0.000645941],"domain_scores_gemma":[0.9897223,0.0051444066,0.001272559,0.0016040603,0.0018262593,0.00043043875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022251278,0.0012104991,0.0010132533,0.0025406217,0.0028959531,0.0040596034,0.001558406,0.0016004888,0.012996711],"category_scores_gemma":[0.020393373,0.0011115872,0.0016042114,0.003593256,0.0051863734,0.013770191,0.005738895,0.003631776,0.0044391737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020000775,0.00008179077,0.0029468136,0.00028476623,0.000028531247,0.001551818,0.0019836698,0.0009690777,0.003964808,0.9400479,0.0073061003,0.040634643],"study_design_scores_gemma":[0.000051262097,0.00006437218,0.00105381,0.0001267934,0.0000513275,0.0016963417,0.0006847954,0.008599721,0.0061204243,0.93588126,0.045607474,0.000062432846],"about_ca_topic_score_codex":0.0025836602,"about_ca_topic_score_gemma":0.0025936856,"teacher_disagreement_score":0.012996711,"about_ca_system_score_codex":0.0018550361,"about_ca_system_score_gemma":0.001126024,"threshold_uncertainty_score":0.04347831},"labels":[],"label_agreement":null},{"id":"W2024617553","doi":"10.1090/s0002-9939-08-09250-2","title":"Free submodules for the central representation in the cohomology of Lie algebras","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; La Trobe University","keywords":"Cohomology; Mathematics; Algebra over a field; Pure mathematics; Representation (politics); Representation theory; Computer science; Political science","score_opus":0.04969979647683147,"score_gpt":0.32388139280650513,"score_spread":0.27418159632967365,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024617553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3657266,0.0026050746,0.26011565,0.0048096273,0.0017001943,0.00017389462,0.0011288092,0.0020972586,0.36164296],"genre_scores_gemma":[0.8954444,0.00061323424,0.023972651,0.0006794043,0.0009089848,0.0001603759,0.00062707777,0.0004753118,0.07711854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915934,0.00018021278,0.000035029854,0.00018914943,0.00025433206,0.00018202123],"domain_scores_gemma":[0.9992091,0.00018717129,0.00008114344,0.00009632456,0.00022204198,0.00020426401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008269748,0.00074193213,0.0005803896,0.0020944602,0.0015226317,0.0024257796,0.0010377587,0.00094112003,0.026105704],"category_scores_gemma":[0.0018447812,0.00030357306,0.0008080582,0.0008306543,0.0026853688,0.0040286877,0.0024506792,0.0020718677,0.004927895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023276745,0.000021193999,0.00013862386,0.000048988237,0.000006968235,0.000096796095,0.00035030418,0.00027861234,0.0013656961,0.98702234,0.0033965183,0.0072507197],"study_design_scores_gemma":[0.000016954462,0.000029390218,0.00047180944,0.000019907251,0.0000062198947,0.00016020893,0.00020898714,0.003455051,0.001641823,0.9825401,0.011423115,0.000026446769],"about_ca_topic_score_codex":0.0011609382,"about_ca_topic_score_gemma":0.0009060429,"teacher_disagreement_score":0.026105704,"about_ca_system_score_codex":0.0013147433,"about_ca_system_score_gemma":0.00087053323,"threshold_uncertainty_score":0.08733225},"labels":[],"label_agreement":null},{"id":"W2024707463","doi":"10.1090/s0002-9939-09-09826-8","title":"Freyd’s generating hypothesis with almost split sequences","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Subcategory; Statement (logic); Sylow theorems; Group (periodic table); Pure mathematics; Combinatorics; Discrete mathematics; Finite group; Linguistics","score_opus":0.023094140777227056,"score_gpt":0.26050401394695877,"score_spread":0.23740987316973172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024707463","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31363338,0.0021995918,0.37111622,0.007897069,0.000817856,0.000100590565,0.0010631591,0.00095827284,0.30221385],"genre_scores_gemma":[0.9439466,0.0005035272,0.019832741,0.0010725769,0.00048471137,0.000107699816,0.0007131383,0.00017822727,0.033160713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878925,0.00028476986,0.00005525988,0.0003188897,0.00031455295,0.00023734034],"domain_scores_gemma":[0.99841106,0.0007102346,0.00010612775,0.00017134383,0.00039086197,0.00021034367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020093531,0.0005595872,0.0005971822,0.0022436364,0.0014669438,0.002143501,0.0008147252,0.0010750506,0.012154404],"category_scores_gemma":[0.0026817955,0.000407335,0.0014322344,0.000742111,0.0032748217,0.005517374,0.0028620905,0.002178248,0.0014805383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015437869,0.0000097345455,0.00020573326,0.000021837695,0.0000063353195,0.000045264424,0.00017293394,0.0001790854,0.00033948143,0.9947455,0.0010324126,0.0032261994],"study_design_scores_gemma":[0.000013989274,0.000025665586,0.0004823994,0.000012635267,0.000007688999,0.000084240935,0.0001239287,0.0020843402,0.00081378437,0.9912322,0.005107535,0.000011591721],"about_ca_topic_score_codex":0.0010688528,"about_ca_topic_score_gemma":0.0007726593,"teacher_disagreement_score":0.012154404,"about_ca_system_score_codex":0.0015342619,"about_ca_system_score_gemma":0.00076306285,"threshold_uncertainty_score":0.0406605},"labels":[],"label_agreement":null},{"id":"W2024834421","doi":"10.1090/s0002-9939-07-09320-3","title":"Differentiability of Peano derivatives","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Peano axioms; Differentiable function; Fréchet derivative; Mathematics; Directional derivative; Derivative (finance); Order (exchange); Variable (mathematics); Pure mathematics; Peano existence theorem; Discrete mathematics; Mathematical analysis; Fixed-point theorem; Picard–Lindelöf theorem; Danskin's theorem; Economics; Banach space","score_opus":0.020990709893133484,"score_gpt":0.31417545978354655,"score_spread":0.29318474989041304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024834421","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16704004,0.0056977165,0.57040673,0.0035694235,0.00069400674,0.00007106452,0.00042528697,0.00037497957,0.2517208],"genre_scores_gemma":[0.92727345,0.0017774102,0.042807207,0.00071422604,0.0003768935,0.00006292503,0.00021853451,0.00015758745,0.026611658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891615,0.00021968682,0.00006221296,0.0002841931,0.00036949656,0.00014828167],"domain_scores_gemma":[0.99809295,0.0009048631,0.00015285236,0.00021962784,0.00044709814,0.00018258076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018524509,0.00047236204,0.0004585952,0.0016381284,0.0011109023,0.0020439695,0.0005564489,0.00073409145,0.004673626],"category_scores_gemma":[0.0059264377,0.0003563924,0.0012055023,0.000831651,0.0034932022,0.0046084803,0.0020500664,0.0033157303,0.00058715895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017076805,0.000006501001,0.00026391738,0.000027867032,0.000006082219,0.000077994046,0.00016921219,0.0008679793,0.0014558517,0.9915677,0.0005252152,0.0050145783],"study_design_scores_gemma":[0.000011158919,0.000030583997,0.00076294213,0.000031771404,0.00001200605,0.0002868853,0.00009737703,0.011608992,0.0021816695,0.97046274,0.014493012,0.000020925687],"about_ca_topic_score_codex":0.0012245931,"about_ca_topic_score_gemma":0.00075230544,"teacher_disagreement_score":0.004673626,"about_ca_system_score_codex":0.0020637373,"about_ca_system_score_gemma":0.0007103088,"threshold_uncertainty_score":0.015634835},"labels":[],"label_agreement":null},{"id":"W2025304902","doi":"10.1090/s0002-9939-2011-11041-4","title":"Plane continua and totally disconnected sets of buried points","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"Nipissing University","keywords":"Totally disconnected space; Plane (geometry); Geometry; Mathematics; Physics; Set (abstract data type); Combinatorics; Computer science; Locally compact space","score_opus":0.027536297578454494,"score_gpt":0.26528203380554116,"score_spread":0.23774573622708667,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025304902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8609966,0.0020479774,0.09259784,0.0008748408,0.000061097526,0.000026229374,0.00021617884,0.00014731128,0.043031957],"genre_scores_gemma":[0.982623,0.00085387664,0.012572708,0.00007921986,0.00005719171,0.000042092015,0.00030217538,0.000035242723,0.003434646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940634,0.00014631789,0.000033129512,0.00009847716,0.0002283019,0.00008753221],"domain_scores_gemma":[0.9984756,0.0006583349,0.0003286218,0.00016943418,0.00015633364,0.00021168185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059196755,0.00064194173,0.0007107083,0.0026774511,0.0012149903,0.003528339,0.0010662723,0.0010859086,0.0018562124],"category_scores_gemma":[0.0027720027,0.0005043643,0.00048658668,0.0013315261,0.0046095,0.0031550722,0.0032858974,0.0018125079,0.00038735443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001337507,0.000031091546,0.0011191032,0.000106490945,0.000039292754,0.0004998549,0.00077505736,0.0053363233,0.005237256,0.98111844,0.00060135464,0.005001904],"study_design_scores_gemma":[0.000042469514,0.000049667855,0.0013680522,0.00006780631,0.000022393953,0.00095174706,0.000779101,0.01999163,0.0022032547,0.97002184,0.0044709067,0.00003111637],"about_ca_topic_score_codex":0.00030434565,"about_ca_topic_score_gemma":0.0002021861,"teacher_disagreement_score":0.003528339,"about_ca_system_score_codex":0.00067813107,"about_ca_system_score_gemma":0.00022553372,"threshold_uncertainty_score":0.006209612},"labels":[],"label_agreement":null},{"id":"W2026323022","doi":"10.1090/s0002-9939-05-08294-8","title":"Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Universiteit Leiden","keywords":"Automorphism; Rank (graph theory); Mathematics; Pure mathematics; Combinatorics","score_opus":0.018577528543065925,"score_gpt":0.2684260142213778,"score_spread":0.24984848567831186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026323022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45966357,0.0014165567,0.108162865,0.0031239458,0.00087446236,0.00018203778,0.0014929724,0.0011228276,0.42396092],"genre_scores_gemma":[0.90031797,0.0012801228,0.016062105,0.0006061994,0.00066891935,0.00011683825,0.001325092,0.00054190634,0.07908084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987219,0.00015712547,0.000062152416,0.00030158207,0.00039320628,0.00036403112],"domain_scores_gemma":[0.99837375,0.00046132086,0.00032468056,0.0002823826,0.0002804722,0.0002772866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00092253654,0.0018766479,0.00093093544,0.0018981844,0.0018855463,0.0038290243,0.0009554815,0.000969818,0.024234261],"category_scores_gemma":[0.0029008717,0.00062080147,0.0014949903,0.0014055282,0.0028720964,0.0058069373,0.0038407429,0.0038011235,0.006963621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029117722,0.0000626024,0.0007561766,0.0001924584,0.00004554313,0.000658711,0.0006268177,0.0031305947,0.0035840352,0.96299225,0.0062323646,0.021427302],"study_design_scores_gemma":[0.00010609015,0.00014922577,0.0010513283,0.000082961655,0.000058526664,0.0008238744,0.00037407142,0.006510164,0.006847099,0.95166296,0.032263976,0.00006984706],"about_ca_topic_score_codex":0.0014824083,"about_ca_topic_score_gemma":0.0011571782,"teacher_disagreement_score":0.024234261,"about_ca_system_score_codex":0.0018039913,"about_ca_system_score_gemma":0.0008097421,"threshold_uncertainty_score":0.081071675},"labels":[],"label_agreement":null},{"id":"W2027358213","doi":"10.1090/s0002-9939-04-07787-1","title":"A new degree bound for invariant rings","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invariant (physics); Mathematics; Degree (music); Polynomial ring; Invariant polynomial; Pure mathematics; Discrete mathematics; Combinatorics; Polynomial; Physics; Mathematical analysis; Matrix polynomial","score_opus":0.07765360554057904,"score_gpt":0.3354632336113624,"score_spread":0.25780962807078334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027358213","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.074835874,0.0065114945,0.81790847,0.0042842766,0.0018614425,0.00008185708,0.00063431216,0.0010353109,0.09284697],"genre_scores_gemma":[0.79506594,0.006002453,0.16725837,0.002011573,0.004874562,0.00013623321,0.00066830526,0.0009913347,0.022991236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99662256,0.0004332575,0.00017526699,0.000856519,0.0012215223,0.00069082784],"domain_scores_gemma":[0.9944681,0.0027108586,0.00044565854,0.00085857563,0.00066989026,0.00084696076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002711988,0.0011356642,0.0013025407,0.0038615726,0.0023966932,0.004572792,0.0022037474,0.0016312499,0.009588563],"category_scores_gemma":[0.0074464832,0.0005922119,0.0013061359,0.0023883486,0.004655901,0.019874323,0.0070325467,0.007141092,0.0021542185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006563236,0.00002855063,0.00043258283,0.00010484541,0.000012193364,0.00008837073,0.0001941815,0.0020796824,0.003368287,0.9728184,0.0035783153,0.017229034],"study_design_scores_gemma":[0.000019241897,0.00006878307,0.0005481776,0.000051597763,0.000037162667,0.00037797226,0.00010201383,0.016993446,0.0056285947,0.9526727,0.023406897,0.00009338756],"about_ca_topic_score_codex":0.00062641414,"about_ca_topic_score_gemma":0.0006066045,"teacher_disagreement_score":0.009588563,"about_ca_system_score_codex":0.0019857904,"about_ca_system_score_gemma":0.00060424843,"threshold_uncertainty_score":0.032076955},"labels":[],"label_agreement":null},{"id":"W2027578896","doi":"10.1090/s0002-9939-07-09086-7","title":"Characterizations of Disjointness preserving operators on vector-valued function spaces","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Science Council; University of Alberta","keywords":"Mathematics; Function space; Pure mathematics; Function (biology); Algebra over a field; Biology","score_opus":0.01805428881180918,"score_gpt":0.28717472896212815,"score_spread":0.26912044015031894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027578896","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23419547,0.0008297735,0.7435873,0.0008068595,0.0001368244,0.00008963755,0.00043506204,0.00049712474,0.019421857],"genre_scores_gemma":[0.88946927,0.0006463162,0.092113666,0.00035199322,0.00030347792,0.00025136708,0.00082959875,0.00036144597,0.015672807],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99461335,0.0010760817,0.00046511248,0.0012769668,0.0018946995,0.00067376246],"domain_scores_gemma":[0.9873975,0.0050750403,0.001960677,0.0011702748,0.0028305356,0.0015661083],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004117925,0.001642338,0.00078994123,0.0031409962,0.0014224139,0.0050497823,0.0016228071,0.0013340692,0.0061436156],"category_scores_gemma":[0.0098409215,0.0007912521,0.0022757254,0.0020248014,0.0053396253,0.01157206,0.005149488,0.0037971963,0.0008856399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008750917,0.00005506181,0.00058259227,0.00009026954,0.00003553288,0.00020161181,0.0009624014,0.0020154202,0.004873217,0.9792717,0.00041881608,0.011405809],"study_design_scores_gemma":[0.000029269579,0.0001706146,0.0006008114,0.000046541678,0.00003069717,0.0004917387,0.00054428406,0.020695621,0.0058204075,0.96637875,0.0051387404,0.000052454627],"about_ca_topic_score_codex":0.00080396875,"about_ca_topic_score_gemma":0.00041528945,"teacher_disagreement_score":0.0061436156,"about_ca_system_score_codex":0.0019448114,"about_ca_system_score_gemma":0.0009899386,"threshold_uncertainty_score":0.021777928},"labels":[],"label_agreement":null},{"id":"W2028429757","doi":"10.1090/s0002-9939-09-09778-0","title":"Solution to Farhadi–Ghahramani’s multiplier problem","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dual polyhedron; Multiplier (economics); Mathematics; Arithmetic; Algebra over a field; Combinatorics; Pure mathematics; Economics; Keynesian economics","score_opus":0.02777754152527866,"score_gpt":0.3324273335233221,"score_spread":0.30464979199804343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028429757","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20368683,0.005895825,0.31947124,0.09531235,0.0038019253,0.00011958537,0.00065144926,0.00023418693,0.3708266],"genre_scores_gemma":[0.80187064,0.002759155,0.08178586,0.00480525,0.002823738,0.0002325331,0.0003443478,0.0002140382,0.10516437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961936,0.000117977506,0.000011798893,0.000068619986,0.00008876022,0.00009347451],"domain_scores_gemma":[0.99945897,0.00025320827,0.000065133594,0.000047481553,0.00009019735,0.00008494261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009367584,0.00043359658,0.0007426607,0.00068431284,0.0018455725,0.0019274766,0.0013670126,0.0027265847,0.015253492],"category_scores_gemma":[0.0039813546,0.0002590723,0.00051228254,0.00064794207,0.0020415278,0.0041588517,0.0021838082,0.0028615228,0.0014363526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016554022,0.000007870247,0.000047833546,0.000023631903,0.0000030884498,0.000054771604,0.00006036621,0.0005381349,0.00015216495,0.99287224,0.004189662,0.002033694],"study_design_scores_gemma":[0.000020921465,0.000007162521,0.00006273212,0.000012492147,0.00000136555,0.00009356414,0.00007151153,0.0035822445,0.00012241366,0.99091935,0.0050993026,0.000006908965],"about_ca_topic_score_codex":0.0008438114,"about_ca_topic_score_gemma":0.0006607046,"teacher_disagreement_score":0.015253492,"about_ca_system_score_codex":0.0009882391,"about_ca_system_score_gemma":0.0012510396,"threshold_uncertainty_score":0.051028013},"labels":[],"label_agreement":null},{"id":"W2028495306","doi":"10.1090/s0002-9939-2011-10827-x","title":"Jordan-Chevalley decomposition in finite dimensional Lie algebras","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Mathematics; Decomposition; Lie algebra; Killing form; Pure mathematics; Algebra over a field; Adjoint representation of a Lie algebra; Lie conformal algebra; Chemistry","score_opus":0.039685739175392976,"score_gpt":0.3099111115187187,"score_spread":0.2702253723433257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028495306","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3849841,0.0014385734,0.2507731,0.0032555661,0.0005477629,0.00012221077,0.0008862016,0.00089859625,0.35709393],"genre_scores_gemma":[0.8445006,0.00095022074,0.048325364,0.0006540114,0.00047864422,0.000120886056,0.00093296135,0.000412615,0.10362461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993697,0.00013933335,0.000029840825,0.00010753967,0.00022839151,0.00012535775],"domain_scores_gemma":[0.9994086,0.00010029842,0.00007015928,0.000055450142,0.0002172599,0.00014813026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095755165,0.00064671994,0.000622245,0.0015467317,0.0013128401,0.0024210957,0.00069363054,0.00059524644,0.011250118],"category_scores_gemma":[0.0013866402,0.0002962671,0.00082123285,0.00089573127,0.0023123182,0.002915014,0.0016307948,0.0018908198,0.0033703183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014703773,0.000012978805,0.000098405566,0.000024154957,0.0000039628258,0.00004803228,0.00024192662,0.0005883229,0.00044999272,0.99344856,0.001329502,0.0037394008],"study_design_scores_gemma":[0.000010951718,0.000015926453,0.0001653254,0.000012310331,0.000003521806,0.00005644517,0.00014273949,0.0065923976,0.00061037805,0.98683435,0.005544583,0.000011117363],"about_ca_topic_score_codex":0.00314615,"about_ca_topic_score_gemma":0.002482351,"teacher_disagreement_score":0.011250118,"about_ca_system_score_codex":0.0018960066,"about_ca_system_score_gemma":0.001127122,"threshold_uncertainty_score":0.037635386},"labels":[],"label_agreement":null},{"id":"W2028749990","doi":"10.1090/s0002-9939-2011-10864-5","title":"Langlands reciprocity for the even-dimensional noncommutative tori span style=color:redThis article has been retracted/span","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Noncommutative geometry; Conjecture; Noncommutative algebraic geometry; Noncommutative quantum field theory; Reciprocity (cultural anthropology); Dirichlet distribution","score_opus":0.08780007855878638,"score_gpt":0.33723981691257904,"score_spread":0.24943973835379266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028749990","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31927022,0.006881504,0.2147775,0.010251583,0.004522285,0.00012295236,0.0011210084,0.0005806089,0.44247243],"genre_scores_gemma":[0.9231738,0.0029086107,0.020975143,0.000947373,0.001986045,0.000099677214,0.00039677875,0.00030934432,0.049203165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851125,0.00040627568,0.00009862985,0.00023481587,0.0005161727,0.00023283793],"domain_scores_gemma":[0.99773943,0.00075665605,0.0003383172,0.000327957,0.00049728504,0.00034036016],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024611182,0.0005818471,0.00078686996,0.0018890656,0.0018573597,0.002893381,0.0005766997,0.00070493284,0.011300555],"category_scores_gemma":[0.00442435,0.00035114892,0.000923181,0.0008992313,0.0027703715,0.004590542,0.0021105062,0.0022916202,0.0025273208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014269365,0.0000064364194,0.00012428022,0.000027796332,0.000004652482,0.00006453928,0.00011624153,0.00026165947,0.0003191447,0.99389315,0.0024231563,0.0027447578],"study_design_scores_gemma":[0.000008307194,0.000016536404,0.0003427751,0.000012378486,0.0000061892283,0.00015352176,0.00005631604,0.0023356257,0.00036710064,0.9885085,0.008170877,0.000021871101],"about_ca_topic_score_codex":0.00074955786,"about_ca_topic_score_gemma":0.0005858587,"teacher_disagreement_score":0.011300555,"about_ca_system_score_codex":0.0011773373,"about_ca_system_score_gemma":0.0009000992,"threshold_uncertainty_score":0.037804127},"labels":[],"label_agreement":null},{"id":"W2029229323","doi":"10.1090/s0002-9939-2013-11614-x","title":"Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Algorithm; Annotation; Computer science; Type (biology); Semantics (computer science); Mathematics; Artificial intelligence; Programming language","score_opus":0.03182816134918378,"score_gpt":0.29520994465342715,"score_spread":0.2633817833042434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029229323","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27218822,0.00095468963,0.61382324,0.0019119695,0.0007633002,0.00012242094,0.00063576363,0.0004290357,0.10917142],"genre_scores_gemma":[0.8024089,0.00060797174,0.12301888,0.0005362953,0.00025818122,0.00023171879,0.00060560845,0.00026220694,0.072070315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995204,0.000118729586,0.000027867547,0.000095677526,0.00013475218,0.0001025871],"domain_scores_gemma":[0.9996151,0.0001041056,0.000070675414,0.000041298066,0.00010399506,0.00006479283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006544954,0.0007130074,0.0006487401,0.000875418,0.00095477264,0.0022288307,0.0013451935,0.0014097133,0.0088990275],"category_scores_gemma":[0.0018071911,0.0003912747,0.0009668786,0.0005699685,0.0014739634,0.0023115901,0.0020468808,0.0014412468,0.0012512679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002778342,0.000030755116,0.00040936546,0.000046770132,0.000015426125,0.00017400131,0.00025346852,0.012759519,0.0019109894,0.9797204,0.0011910426,0.0034604988],"study_design_scores_gemma":[0.000029405024,0.000039588715,0.000387343,0.000028600145,0.000012627637,0.000111300265,0.00022911241,0.23722489,0.0015804919,0.7523116,0.008004614,0.00004047987],"about_ca_topic_score_codex":0.0030538233,"about_ca_topic_score_gemma":0.00323672,"teacher_disagreement_score":0.0088990275,"about_ca_system_score_codex":0.0014679569,"about_ca_system_score_gemma":0.000989616,"threshold_uncertainty_score":0.029770255},"labels":[],"label_agreement":null},{"id":"W2031112917","doi":"10.1090/s0002-9939-04-07421-0","title":"On the discrete groups of Moonshine","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa; Concordia University","funders":"","keywords":"Artificial intelligence; Algorithm; Annotation; Computer science","score_opus":0.01649364962590388,"score_gpt":0.25877516726114796,"score_spread":0.24228151763524408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031112917","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71398675,0.00065664685,0.06508891,0.0012288375,0.00040261936,0.0001038877,0.00070101774,0.0004965118,0.21733482],"genre_scores_gemma":[0.93763846,0.0003259771,0.00938303,0.00022698822,0.00022518872,0.00008888749,0.00090902334,0.00025901914,0.05094333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993774,0.000088200955,0.000033883232,0.00013177923,0.0001363558,0.00023237635],"domain_scores_gemma":[0.9995228,0.00009594483,0.0000794713,0.00007300803,0.00009447275,0.00013430102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003993431,0.0007357299,0.00065058144,0.0020257274,0.001811704,0.0021874832,0.0007996251,0.000627565,0.019491885],"category_scores_gemma":[0.0010885441,0.00032851694,0.000999308,0.0011572333,0.0026975998,0.0032364093,0.003578311,0.0012876212,0.0032063215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000101431644,0.00004212984,0.00087351067,0.0000646663,0.000011023984,0.00016841221,0.0013924988,0.00073665223,0.002085859,0.97947925,0.0022118427,0.012832767],"study_design_scores_gemma":[0.000045906887,0.000096776086,0.0018049756,0.000033845936,0.000016163747,0.00023027707,0.0013576957,0.0030688518,0.002673097,0.9599827,0.030650254,0.000039497783],"about_ca_topic_score_codex":0.0021786636,"about_ca_topic_score_gemma":0.0013413758,"teacher_disagreement_score":0.019491885,"about_ca_system_score_codex":0.0010737184,"about_ca_system_score_gemma":0.00045850538,"threshold_uncertainty_score":0.065206826},"labels":[],"label_agreement":null},{"id":"W2032646947","doi":"10.1090/s0002-9939-2010-10679-2","title":"Irreducible weight modules over Witt algebras","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Irreducibility; Witt algebra; Mathematics; Witt vector; Algebra over a field; Class (philosophy); Pure mathematics; Lie algebra; Algebra representation; Cellular algebra; Computer science; Artificial intelligence","score_opus":0.012828206286154218,"score_gpt":0.2686408116735545,"score_spread":0.2558126053874003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032646947","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5377262,0.0033065395,0.1855656,0.0016702408,0.0006093848,0.00014912797,0.00052799814,0.0012184646,0.2692264],"genre_scores_gemma":[0.8955334,0.0013531824,0.01671571,0.0003305313,0.0005000636,0.00007452961,0.00062930054,0.00020015815,0.08466309],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994844,0.000080695136,0.000023779301,0.00010522885,0.0001627654,0.00014298693],"domain_scores_gemma":[0.99969685,0.000033985954,0.000053529195,0.000048520455,0.00007765002,0.00008950162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005437583,0.0007275833,0.000586478,0.0020969713,0.0011630866,0.0017125844,0.0005030828,0.0005479789,0.006846922],"category_scores_gemma":[0.0009993298,0.00034172577,0.00085558876,0.0018021927,0.0022934657,0.0033194197,0.00149557,0.0013464887,0.0021091748],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025135898,0.000020901583,0.00036159018,0.000048022208,0.000012710573,0.00013559897,0.00040521004,0.000989885,0.0018078054,0.9804215,0.0016051712,0.014166364],"study_design_scores_gemma":[0.000011844836,0.00004630008,0.00074611173,0.00002523789,0.000011139393,0.00028953643,0.00010877713,0.005091644,0.0027625877,0.96664107,0.024235932,0.000029761279],"about_ca_topic_score_codex":0.00077056076,"about_ca_topic_score_gemma":0.0006078827,"teacher_disagreement_score":0.006846922,"about_ca_system_score_codex":0.0010321952,"about_ca_system_score_gemma":0.0008086783,"threshold_uncertainty_score":0.02290529},"labels":[],"label_agreement":null},{"id":"W2034543871","doi":"10.1090/s0002-9939-2010-10669-x","title":"A remark on the isotropy constant of polytopes","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Polytope; Combinatorics; Bounded function; Isotropy; Constant (computer programming); Mathematics; Order (exchange); Mathematical analysis; Physics; Computer science; Quantum mechanics","score_opus":0.0272557499404227,"score_gpt":0.2892037435217413,"score_spread":0.2619479935813186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034543871","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11158574,0.008519049,0.44142038,0.011293362,0.0016112358,0.00011078387,0.0020177264,0.0018968275,0.42154497],"genre_scores_gemma":[0.84492856,0.005974964,0.06802663,0.003080845,0.0019656343,0.0003548164,0.0014528988,0.0025114499,0.07170413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99644715,0.0005350146,0.0002007047,0.0010238132,0.0012472175,0.0005460467],"domain_scores_gemma":[0.98812187,0.006754744,0.0006483873,0.0019456567,0.0015006878,0.0010287748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021309676,0.001365448,0.0012472087,0.0025259205,0.0015515775,0.003805226,0.0023481213,0.0013892045,0.025870383],"category_scores_gemma":[0.010702403,0.00076730666,0.0019721396,0.0024651473,0.004668208,0.008677126,0.0046518785,0.008353867,0.0041453694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015722858,0.00004688156,0.0010504337,0.0003035482,0.00004472092,0.0004318242,0.0005862635,0.0027813385,0.0042487974,0.9498567,0.013573692,0.02691855],"study_design_scores_gemma":[0.00004982106,0.00016435582,0.0029191894,0.00009575085,0.00007399306,0.0006972913,0.00033092144,0.015366282,0.0064771594,0.917904,0.05585076,0.000070569],"about_ca_topic_score_codex":0.003051519,"about_ca_topic_score_gemma":0.00200877,"teacher_disagreement_score":0.025870383,"about_ca_system_score_codex":0.0016748521,"about_ca_system_score_gemma":0.0006998749,"threshold_uncertainty_score":0.08654505},"labels":[],"label_agreement":null},{"id":"W2035323563","doi":"10.1090/s0002-9939-09-10164-8","title":"The ergodicity of weak Hilbert spaces","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ergodicity; Mathematics; Hilbert space; Pure mathematics; Rigged Hilbert space; Reproducing kernel Hilbert space; Statistics","score_opus":0.014576175425181527,"score_gpt":0.2898283595317621,"score_spread":0.2752521841065806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035323563","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6672195,0.0016973732,0.25669664,0.0018792186,0.00016778996,0.00003878218,0.00031759965,0.0003230429,0.07165996],"genre_scores_gemma":[0.9829829,0.0003592907,0.005084358,0.00013940442,0.00015633563,0.000034608165,0.00015474623,0.00007371094,0.011014597],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844056,0.00045314973,0.000074152515,0.0002761882,0.0004525857,0.00030348098],"domain_scores_gemma":[0.9960204,0.0015500953,0.0004187361,0.0005350675,0.0008901507,0.0005855122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014492018,0.000436655,0.0005737443,0.001351265,0.0013001877,0.0021178236,0.0007170472,0.00042515242,0.00395241],"category_scores_gemma":[0.006515912,0.0002432892,0.00090204866,0.0005718387,0.003681509,0.003356221,0.0027945586,0.0014839161,0.00042782188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003236661,0.000011399117,0.00065109326,0.000032802433,0.000013334928,0.00005005028,0.00025694494,0.002166925,0.0016645397,0.9911801,0.00042020602,0.0035203088],"study_design_scores_gemma":[0.000012135682,0.00005729673,0.0015555398,0.000017127215,0.0000147511555,0.000116835836,0.00019356245,0.027860811,0.0024080751,0.96314293,0.0045962846,0.00002470059],"about_ca_topic_score_codex":0.0023863406,"about_ca_topic_score_gemma":0.0014733163,"teacher_disagreement_score":0.00395241,"about_ca_system_score_codex":0.0019175265,"about_ca_system_score_gemma":0.00094214815,"threshold_uncertainty_score":0.013912678},"labels":[],"label_agreement":null},{"id":"W2039052023","doi":"10.1090/s0002-9939-2015-12499-9","title":"Intersections of recurrence sequences","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"European Social Fund; Natural Sciences and Engineering Research Council of Canada; Magyar Tudományos Akadémia; Hungarian Scientific Research Fund; European Commission","keywords":"Conjecture; Intersection (aeronautics); Mathematics; Recurrence relation; Combinatorics; Applied mathematics; Pure mathematics; Geography; Cartography","score_opus":0.058697508599436087,"score_gpt":0.3349355897945754,"score_spread":0.2762380811951393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039052023","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57657367,0.001325468,0.31510323,0.0015042484,0.00018112377,0.0001903454,0.0013822346,0.002037838,0.10170185],"genre_scores_gemma":[0.95435613,0.0004347984,0.03608747,0.0001873906,0.00026309933,0.00026820536,0.0012182349,0.00034416778,0.006840466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99640805,0.00065830245,0.00026280555,0.00093262317,0.0010273203,0.00071084226],"domain_scores_gemma":[0.9641048,0.025113886,0.0036402403,0.0026427223,0.0027553209,0.001743062],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018825711,0.0008497532,0.0014316685,0.004196541,0.0024303428,0.0052092397,0.0024199523,0.0014773457,0.018759537],"category_scores_gemma":[0.032234114,0.0011016709,0.0012689015,0.0028924441,0.0028151805,0.010792842,0.0043782024,0.0040237047,0.0022436248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024621954,0.00007684058,0.0038293488,0.00023246107,0.00004644019,0.00042754016,0.00059708545,0.01072442,0.0088297045,0.9501868,0.0029168944,0.021886447],"study_design_scores_gemma":[0.000035651097,0.000093822855,0.0015974484,0.000069689515,0.000084292005,0.00079976086,0.00030304576,0.11318381,0.021564156,0.8535674,0.008629394,0.00007139061],"about_ca_topic_score_codex":0.0005539543,"about_ca_topic_score_gemma":0.00049047783,"teacher_disagreement_score":0.018759537,"about_ca_system_score_codex":0.0018392308,"about_ca_system_score_gemma":0.00083757984,"threshold_uncertainty_score":0.062756956},"labels":[],"label_agreement":null},{"id":"W2040966625","doi":"10.1090/s0002-9939-04-07646-4","title":"Sampling sets and closed range composition operators on the Bloch space","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Bloch space; Composition (language); Sampling (signal processing); Range (aeronautics); Space (punctuation); Mathematics; Physics; Mathematical analysis; Computer science; Materials science; Optics; Compact space; Art","score_opus":0.043825866867663044,"score_gpt":0.3293966759420494,"score_spread":0.28557080907438637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040966625","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13037728,0.00037865192,0.8328144,0.0010519073,0.00017209933,0.00012251259,0.00031631096,0.0011962767,0.033570554],"genre_scores_gemma":[0.6912979,0.0004914573,0.27856332,0.0008078233,0.00029332348,0.00045010916,0.00088637543,0.00092969247,0.026280059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99360985,0.0013143438,0.0003780339,0.0016344083,0.0021826988,0.0008805409],"domain_scores_gemma":[0.991286,0.0044344314,0.00055001496,0.0008743175,0.0018666626,0.0009886305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036850523,0.0008443487,0.0010478307,0.0022297665,0.0029553643,0.004052861,0.0016500753,0.0014094864,0.009392577],"category_scores_gemma":[0.014101133,0.0007351366,0.0020500186,0.0016266907,0.004772814,0.009877975,0.0062954687,0.0032598362,0.0016523997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010203369,0.000045817047,0.00056434644,0.000058620964,0.000014397298,0.00014438764,0.00044205328,0.0020803204,0.0030926054,0.9785806,0.0009597733,0.013915027],"study_design_scores_gemma":[0.0000432992,0.00008530521,0.000522718,0.00004120636,0.000026991183,0.00027444237,0.00043034946,0.049192645,0.009214027,0.93225205,0.007865943,0.000050991825],"about_ca_topic_score_codex":0.0031542492,"about_ca_topic_score_gemma":0.0023224764,"teacher_disagreement_score":0.009392577,"about_ca_system_score_codex":0.0019996644,"about_ca_system_score_gemma":0.0016488902,"threshold_uncertainty_score":0.031421363},"labels":[],"label_agreement":null},{"id":"W2041056854","doi":"10.1090/s0002-9939-2014-11936-8","title":"Nontriviality of the 𝑀-degree of the 𝐴-polynomial","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Calculus (dental); Knot (papermaking); Robustness (evolution)","score_opus":0.03595544727899484,"score_gpt":0.2721151552319798,"score_spread":0.23615970795298497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041056854","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3443102,0.0010099633,0.19913946,0.009126204,0.0018196175,0.0001570534,0.0018458378,0.0011106384,0.44148096],"genre_scores_gemma":[0.9288245,0.00066166837,0.01775662,0.00061733555,0.0007358127,0.000062351115,0.0007579278,0.00038974208,0.050194103],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998611,0.00015539512,0.000059369155,0.00033939056,0.00042599044,0.00040889892],"domain_scores_gemma":[0.9970264,0.0011924736,0.00022359318,0.00034297185,0.00084027747,0.00037431705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007790115,0.00063994055,0.000665467,0.0010969578,0.001970587,0.002964335,0.0011003294,0.0006022132,0.02425142],"category_scores_gemma":[0.004842748,0.000540927,0.0014035606,0.00074125896,0.0037390774,0.004970495,0.0032999984,0.0046341107,0.0045399703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011249266,0.00003317532,0.00081909215,0.00012320133,0.000015912774,0.00019495763,0.0003537486,0.00085401477,0.002048003,0.9810261,0.005716593,0.008702605],"study_design_scores_gemma":[0.000055614,0.00006640122,0.0014337106,0.000037813497,0.0000261085,0.00034130993,0.00023557761,0.004504111,0.004531955,0.96364594,0.025077073,0.000044446293],"about_ca_topic_score_codex":0.0032488743,"about_ca_topic_score_gemma":0.0034719114,"teacher_disagreement_score":0.02425142,"about_ca_system_score_codex":0.0026966904,"about_ca_system_score_gemma":0.0016647506,"threshold_uncertainty_score":0.08112913},"labels":[],"label_agreement":null},{"id":"W2046831252","doi":"10.1090/s0002-9939-2012-11348-6","title":"Semicrossed products of the disk algebra","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Endomorphism; Product (mathematics); Combinatorics; Solenoid; Envelope (radar); Physics; Mathematics; Geometry; Quantum mechanics","score_opus":0.02961273825420027,"score_gpt":0.3213367726663153,"score_spread":0.29172403441211503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046831252","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.561528,0.0016146144,0.10463272,0.0009358031,0.00043588667,0.000041654697,0.00043633816,0.0005223788,0.3298525],"genre_scores_gemma":[0.93646634,0.00043911068,0.014141141,0.00021711203,0.0002446778,0.000031417083,0.00034983509,0.00015696413,0.04795334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943787,0.00006935246,0.000025771385,0.00014374769,0.0002213578,0.000101871345],"domain_scores_gemma":[0.9995877,0.000039523275,0.00004439862,0.00006184317,0.00016531744,0.0001012626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032453792,0.0003663815,0.00027271826,0.0007819944,0.0010940561,0.0018626136,0.0005621379,0.00039542568,0.008360213],"category_scores_gemma":[0.0006218404,0.00020149924,0.00034376097,0.00041909041,0.0016414806,0.0028381366,0.0011546243,0.00088811456,0.0017164104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020629423,0.000009202436,0.00007540225,0.000012827815,0.0000028989966,0.000042040418,0.00012219946,0.00017167111,0.0014303464,0.99369377,0.00057598914,0.0038428826],"study_design_scores_gemma":[0.000014801907,0.000051915722,0.00054931204,0.000013635323,0.0000074774716,0.00025104717,0.00019824461,0.0044817086,0.0055359714,0.96841073,0.020459913,0.000025230622],"about_ca_topic_score_codex":0.0012692708,"about_ca_topic_score_gemma":0.0008285685,"teacher_disagreement_score":0.008360213,"about_ca_system_score_codex":0.0010944324,"about_ca_system_score_gemma":0.0004560487,"threshold_uncertainty_score":0.027967691},"labels":[],"label_agreement":null},{"id":"W2048351648","doi":"10.1090/s0002-9939-07-09087-9","title":"An elementary proof of Schmüdgen’s theorem on the moment problem of closed semi-algebraic sets","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":15,"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":"Studienstiftung des Deutschen Volkes; University of Saskatchewan","keywords":"Moment (physics); Bounded function; Algebraic number; Mathematics; Property (philosophy); Elementary proof; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.007976309172308741,"score_gpt":0.25140028303734707,"score_spread":0.24342397386503833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048351648","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07645109,0.003096476,0.6919846,0.011032357,0.0024487318,0.00017940087,0.0013610217,0.00092651503,0.21251985],"genre_scores_gemma":[0.7993496,0.0030970462,0.15622276,0.0034605346,0.0025636365,0.0003815833,0.0012250427,0.00035485483,0.03334485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994867,0.000081341255,0.000024286874,0.000104337014,0.00021696877,0.00008636762],"domain_scores_gemma":[0.9985349,0.0008624835,0.00008217781,0.00015412485,0.00024210503,0.0001242175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001140445,0.0011298255,0.0008019113,0.001592895,0.0015158686,0.0015799738,0.0013881649,0.0010655427,0.013988169],"category_scores_gemma":[0.0033192856,0.00044937775,0.0016451057,0.0011351666,0.0033082976,0.005420765,0.00457287,0.0032930265,0.0014727862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021331676,0.000037512276,0.00012193927,0.00011543888,0.000015592766,0.00014989548,0.00023326257,0.0010740736,0.0017775509,0.983579,0.004783162,0.008091277],"study_design_scores_gemma":[0.00001894658,0.000027450658,0.00035458454,0.00003319706,0.000014707691,0.00015869379,0.000065028806,0.0037351807,0.0012565994,0.9803255,0.013991342,0.000018713297],"about_ca_topic_score_codex":0.0009728456,"about_ca_topic_score_gemma":0.0012068581,"teacher_disagreement_score":0.013988169,"about_ca_system_score_codex":0.0012837853,"about_ca_system_score_gemma":0.00083657925,"threshold_uncertainty_score":0.04679507},"labels":[],"label_agreement":null},{"id":"W2048938627","doi":"10.1090/s0002-9939-2012-11507-2","title":"The last incoherent Artin group","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Group (periodic table); Conductor; Mathematics; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.022473293266198693,"score_gpt":0.2824857813086628,"score_spread":0.26001248804246413,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048938627","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64833724,0.001324695,0.108251825,0.004311591,0.0009855748,0.000034705565,0.00018184104,0.00022560879,0.23634696],"genre_scores_gemma":[0.97567457,0.00022624763,0.009507648,0.00036781485,0.0002312124,0.000020748477,0.00009576968,0.00003865016,0.013837281],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911314,0.00018855913,0.00004105653,0.00016985762,0.00029047896,0.00019690265],"domain_scores_gemma":[0.9990994,0.00021857573,0.00013134301,0.000165068,0.00023103399,0.00015462592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094296003,0.0003971385,0.0004499234,0.0009373847,0.0024676707,0.0024495602,0.00051354367,0.0007566008,0.004274958],"category_scores_gemma":[0.0014808493,0.00020712869,0.00042198118,0.00049222127,0.0036151526,0.0031798661,0.0020802587,0.0018303442,0.0006205039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014658761,0.000005933235,0.00015471528,0.000012844432,0.0000045343386,0.000060219107,0.00019719885,0.00011510551,0.0015398973,0.9956682,0.00052040175,0.001706317],"study_design_scores_gemma":[0.00001371256,0.000050253693,0.0004702468,0.000019759536,0.000014788641,0.00022177263,0.0003335691,0.0019084478,0.0030125072,0.9789974,0.014938521,0.000019020546],"about_ca_topic_score_codex":0.0004940783,"about_ca_topic_score_gemma":0.00043913594,"teacher_disagreement_score":0.004274958,"about_ca_system_score_codex":0.0006540415,"about_ca_system_score_gemma":0.00049347774,"threshold_uncertainty_score":0.014301181},"labels":[],"label_agreement":null},{"id":"W2049108579","doi":"10.1090/s0002-9939-2011-11204-8","title":"Star configuration points and generic plane curves","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Lakehead University; Politecnico di Torino; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Star (game theory); Plane (geometry); Plane curve; Geometry; Computer science; Physics; Mathematics; Astrophysics","score_opus":0.0444998232313326,"score_gpt":0.27640873408612554,"score_spread":0.23190891085479293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049108579","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1457625,0.0010517366,0.43581808,0.0016499578,0.0007695646,0.0001906987,0.0038307318,0.004671981,0.4062548],"genre_scores_gemma":[0.71766365,0.001805582,0.13897917,0.0005957779,0.00041815278,0.00018094527,0.007082649,0.0034426418,0.1298315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916303,0.00013282,0.000059437276,0.00021805185,0.00027460986,0.00015200306],"domain_scores_gemma":[0.9989662,0.00017137536,0.0001387296,0.00024177963,0.00030895992,0.00017298551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067299133,0.0008142393,0.00070686114,0.0039067324,0.0018095046,0.00399522,0.0011701009,0.0013610999,0.038378917],"category_scores_gemma":[0.0030558184,0.00051123113,0.00102648,0.0033320708,0.0027158519,0.00572207,0.00385601,0.0019039984,0.011483013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000061356375,0.0000142681465,0.0003835747,0.000056470693,0.00000679193,0.00014487372,0.00024498705,0.0020302248,0.0005609288,0.9679947,0.007553448,0.020948311],"study_design_scores_gemma":[0.000034399538,0.0000405338,0.00057673303,0.00007010763,0.000015022343,0.00036207505,0.0004889505,0.009813649,0.0020961072,0.8857046,0.10075992,0.00003796362],"about_ca_topic_score_codex":0.0026441729,"about_ca_topic_score_gemma":0.0024663236,"teacher_disagreement_score":0.038378917,"about_ca_system_score_codex":0.0018692644,"about_ca_system_score_gemma":0.0006697723,"threshold_uncertainty_score":0.12839031},"labels":[],"label_agreement":null},{"id":"W2050261060","doi":"10.1090/s0002-9939-08-09678-0","title":"Distinguishing properties of Arens irregularity","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Property (philosophy); Commutative property; Mathematics; Pure mathematics; Philosophy; Epistemology","score_opus":0.0699015490622897,"score_gpt":0.312054031237736,"score_spread":0.24215248217544633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050261060","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6790627,0.0005043822,0.22212785,0.00091691635,0.00016783446,0.00006608588,0.00019677324,0.00020847416,0.09674897],"genre_scores_gemma":[0.9837767,0.00011882419,0.012423221,0.00007821747,0.00006495857,0.00002716036,0.000117170675,0.000029474955,0.0033642957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988821,0.00020301329,0.00010198136,0.00024115918,0.0004315501,0.00014030584],"domain_scores_gemma":[0.9981907,0.00057673483,0.00029111913,0.00039079323,0.00035024632,0.00020045205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010727748,0.00023286838,0.000416076,0.0007751782,0.0011425355,0.0013166963,0.0004683988,0.00035774196,0.0026047581],"category_scores_gemma":[0.0028945918,0.00019270704,0.0005760215,0.0005931801,0.0029151859,0.002875883,0.001729021,0.0010931325,0.00022354357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037579015,0.000008874269,0.0012379616,0.000037137524,0.000011641412,0.00016742075,0.00032375508,0.00078615826,0.003018957,0.9902623,0.0002876425,0.0038206072],"study_design_scores_gemma":[0.000013995893,0.00004408527,0.0021625129,0.000021163038,0.000020477011,0.00086116657,0.0004201468,0.008212738,0.0056118923,0.9713225,0.011283936,0.000025465224],"about_ca_topic_score_codex":0.0002907665,"about_ca_topic_score_gemma":0.00025999648,"teacher_disagreement_score":0.0026047581,"about_ca_system_score_codex":0.000513163,"about_ca_system_score_gemma":0.00028477385,"threshold_uncertainty_score":0.008713782},"labels":[],"label_agreement":null},{"id":"W2050300012","doi":"10.1090/s0002-9939-08-09510-5","title":"On Fourier restriction and the Newton polygon","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Fourier transform; Polygon (computer graphics); Homogeneous; Mathematics; Scalar (mathematics); Fourier analysis; Newton polygon; Multiplicity (mathematics); Combinatorics; Mathematical analysis; Geometry; Computer science","score_opus":0.018844263023938254,"score_gpt":0.25714424908892075,"score_spread":0.23829998606498248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050300012","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.090720914,0.0026955851,0.5673651,0.002879882,0.0007151467,0.00007881825,0.00040243505,0.0012870211,0.33385512],"genre_scores_gemma":[0.7440722,0.0032567417,0.11741706,0.00075271766,0.0013840413,0.0001726046,0.00086527783,0.0016866324,0.13039275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907684,0.00028393592,0.00002981007,0.00015610395,0.00031332718,0.00013999913],"domain_scores_gemma":[0.9983163,0.0009776079,0.00014456177,0.0001891911,0.00023332701,0.00013896114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009158969,0.0007640087,0.0006608536,0.0019889977,0.0009057994,0.0019469229,0.00096740294,0.00075028674,0.014710329],"category_scores_gemma":[0.0066753877,0.0004957816,0.0008701813,0.0008668962,0.0028851551,0.0032686375,0.0024209449,0.0034212668,0.00401752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009175744,0.000021468943,0.00028917528,0.00008727304,0.000012562961,0.00015823178,0.000308482,0.006467757,0.001395369,0.94876593,0.007632608,0.03476939],"study_design_scores_gemma":[0.000020389445,0.000040368483,0.00079617416,0.00005320622,0.000015645077,0.00024047571,0.00017831278,0.05695963,0.0021493076,0.9017033,0.037809756,0.00003342502],"about_ca_topic_score_codex":0.003819157,"about_ca_topic_score_gemma":0.002147642,"teacher_disagreement_score":0.014710329,"about_ca_system_score_codex":0.0011809078,"about_ca_system_score_gemma":0.0005987547,"threshold_uncertainty_score":0.049210966},"labels":[],"label_agreement":null},{"id":"W2050646206","doi":"10.1090/s0002-9939-2013-11672-2","title":"Simple archimedean dimension groups","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Simple (philosophy); Dimension (graph theory); Mathematics; Pure mathematics; Epistemology; Philosophy","score_opus":0.015872158305215378,"score_gpt":0.28215658158150725,"score_spread":0.26628442327629187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050646206","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83601207,0.0008105924,0.066045485,0.0043977033,0.0003861722,0.000042910848,0.00023707308,0.00020833543,0.09185964],"genre_scores_gemma":[0.98089063,0.0002242088,0.0072490573,0.00027605362,0.00018380159,0.00003181844,0.00009374532,0.000014395931,0.011036276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994742,0.000110425404,0.000026323101,0.00012487089,0.0001611726,0.000102980324],"domain_scores_gemma":[0.99859005,0.0004227852,0.00024183592,0.00021662388,0.000287816,0.00024081983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063262717,0.00033428686,0.00037951136,0.00086980074,0.0014968565,0.0022386154,0.0005699304,0.0009557693,0.0048608645],"category_scores_gemma":[0.0023191231,0.00019895403,0.00042424677,0.0006192119,0.0029317192,0.0047492282,0.002630514,0.0011933811,0.00044522373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022540378,0.0000066436082,0.0002627497,0.000017869328,0.000004269731,0.000030528587,0.00014952903,0.00019850757,0.00063654524,0.9966903,0.00038217168,0.00159834],"study_design_scores_gemma":[0.000016704253,0.000024994972,0.00035607847,0.000007909742,0.000005700054,0.00009548713,0.00019239952,0.0013618137,0.00074342935,0.99220496,0.004981515,0.000009044268],"about_ca_topic_score_codex":0.000389584,"about_ca_topic_score_gemma":0.0004478415,"teacher_disagreement_score":0.0048608645,"about_ca_system_score_codex":0.0006840393,"about_ca_system_score_gemma":0.00041732792,"threshold_uncertainty_score":0.01626128},"labels":[],"label_agreement":null},{"id":"W2050774186","doi":"10.1090/proc12751","title":"Shapes, fingerprints and rational lemniscates","year":2015,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Diffeomorphism; Degree (music); Mathematics; Polynomial; Product (mathematics); Unit circle; Simple (philosophy); Fingerprint (computing); Pure mathematics; Unit (ring theory); Properties of polynomial roots; Combinatorics; Mathematical analysis; Geometry; Computer science; Artificial intelligence; Matrix polynomial","score_opus":0.03494717300242602,"score_gpt":0.2974219017559852,"score_spread":0.2624747287535592,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050774186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5134618,0.0010824113,0.26177382,0.0026589062,0.0003312448,0.00011243072,0.00059524353,0.0017305792,0.21825351],"genre_scores_gemma":[0.9587018,0.00047797037,0.017407408,0.0002581589,0.00012302907,0.000027804741,0.00023864186,0.00021044291,0.02255473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931514,0.00010634426,0.000031166768,0.0001615823,0.00025153678,0.00013425737],"domain_scores_gemma":[0.9992167,0.00017853912,0.00012454962,0.00018928642,0.00016695485,0.00012390004],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041153864,0.00050900487,0.00040845294,0.0014518871,0.0010132529,0.0020500936,0.00072192354,0.000626458,0.011352008],"category_scores_gemma":[0.0041814973,0.00030555716,0.0005731843,0.00085848826,0.003929992,0.0037599653,0.002304416,0.0014812103,0.0025209696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008143101,0.000009273837,0.00040624282,0.000044884564,0.0000041175804,0.00019439503,0.00034548968,0.0016452968,0.0016830397,0.9782567,0.0014958257,0.015833186],"study_design_scores_gemma":[0.000028808505,0.00005974637,0.00086722075,0.000035432768,0.000007182584,0.00046871073,0.0004379621,0.011411878,0.0050038,0.9597517,0.021877436,0.000050090734],"about_ca_topic_score_codex":0.0014538903,"about_ca_topic_score_gemma":0.0008813576,"teacher_disagreement_score":0.011352008,"about_ca_system_score_codex":0.0013586902,"about_ca_system_score_gemma":0.0004516786,"threshold_uncertainty_score":0.037976205},"labels":[],"label_agreement":null},{"id":"W2053094902","doi":"10.1090/s0002-9939-2011-10996-1","title":"Pentagon and hexagon equations following Furusho","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pentagon; Braid; Mathematics; Algebraic number; Pure mathematics; Algebraic geometry; Algebra over a field; Geometry; Mathematical analysis; Geography","score_opus":0.05109502901815561,"score_gpt":0.29002431322502187,"score_spread":0.23892928420686627,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053094902","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16083647,0.011426391,0.39052695,0.017577542,0.007363393,0.00014817229,0.00060489814,0.00039174096,0.4111245],"genre_scores_gemma":[0.75115013,0.006362858,0.100115515,0.0070283613,0.0021531954,0.00017704938,0.00040093303,0.0003151317,0.13229688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996697,0.00008244218,0.000016826665,0.00008586466,0.00008006276,0.00006514552],"domain_scores_gemma":[0.99976546,0.00005790945,0.000022724123,0.00003243869,0.00008003013,0.000041430245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049106823,0.00032674402,0.00056506315,0.0006542416,0.0009601585,0.001258619,0.0003793576,0.00052909506,0.003940414],"category_scores_gemma":[0.0011317773,0.00016620448,0.0005141532,0.0008136964,0.0019892002,0.002748632,0.0021588667,0.0021971955,0.0011922341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010799407,0.0000080031205,0.00011260143,0.000035046385,0.0000035854139,0.000046746056,0.000231704,0.00029520248,0.0007292827,0.98657423,0.0033348817,0.00861802],"study_design_scores_gemma":[0.0000095923315,0.00001273891,0.00028446724,0.000017662393,0.000005339018,0.000093752256,0.00009981379,0.0009415807,0.0008696483,0.95853704,0.039112717,0.000015779347],"about_ca_topic_score_codex":0.0025451705,"about_ca_topic_score_gemma":0.0017568199,"teacher_disagreement_score":0.003940414,"about_ca_system_score_codex":0.00064060534,"about_ca_system_score_gemma":0.00087424315,"threshold_uncertainty_score":0.013181984},"labels":[],"label_agreement":null},{"id":"W2053369209","doi":"10.1090/s0002-9939-2013-11713-2","title":"A probabilistic version of Rosenthal’s inequality","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Russian Foundation for Basic Research","keywords":"Inequality; Disjoint sets; Probabilistic logic; Mathematics; Invariant (physics); Random variable; Pure mathematics; Discrete mathematics; Mathematical economics; Algebra over a field; Statistics; Mathematical analysis","score_opus":0.021223312376774595,"score_gpt":0.29352027533044656,"score_spread":0.27229696295367195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053369209","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.025800426,0.001459816,0.9332783,0.0040719504,0.00040758937,0.00008263033,0.00052164745,0.00010146379,0.03427607],"genre_scores_gemma":[0.69692206,0.0043153274,0.26771724,0.004461206,0.0026263834,0.0006560811,0.00080684735,0.00025781602,0.0222371],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9911356,0.0024472561,0.0004891047,0.0019165091,0.0032364205,0.0007750914],"domain_scores_gemma":[0.97370523,0.017461952,0.0027884087,0.002427409,0.0028041874,0.00081284676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010886029,0.0012127386,0.0015877609,0.002941649,0.0016283209,0.0036796362,0.0034316548,0.002007094,0.009248812],"category_scores_gemma":[0.03429912,0.00090241444,0.0029836444,0.0030122246,0.0072120745,0.0143482145,0.006133068,0.0073823514,0.0011952634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012143428,0.000009530659,0.00021347989,0.000044709635,0.000024352667,0.000055924316,0.00008201532,0.0021401152,0.0005571673,0.9927313,0.00058142474,0.0035477623],"study_design_scores_gemma":[0.0000077162495,0.000019883368,0.00035995166,0.000025436939,0.000018798983,0.00013843409,0.000019750638,0.019855773,0.00049448747,0.9771802,0.0018576266,0.00002203175],"about_ca_topic_score_codex":0.0013587187,"about_ca_topic_score_gemma":0.0012712914,"teacher_disagreement_score":0.010886029,"about_ca_system_score_codex":0.0023582927,"about_ca_system_score_gemma":0.0018141969,"threshold_uncertainty_score":0.05757153},"labels":[],"label_agreement":null},{"id":"W2053574177","doi":"10.1090/s0002-9939-2010-10454-9","title":"Reflexivity and hyperreflexivity of bounded 𝑁-cocycles from group algebras","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Group (periodic table); Mathematics; Banach space; Combinatorics; Bimodule; Locally compact group; Locally compact space; Group algebra; Discrete mathematics; Pure mathematics; Algebra over a field; Physics; Mathematical analysis","score_opus":0.031600661651545806,"score_gpt":0.3326621946450451,"score_spread":0.3010615329934993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2053574177","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1695443,0.0016704304,0.6727825,0.001085794,0.00069587474,0.00015142007,0.00060302793,0.0014162638,0.15205038],"genre_scores_gemma":[0.8931799,0.0007170056,0.06864375,0.0005418156,0.00039147254,0.00027462826,0.0005337333,0.00066377764,0.035053946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962435,0.001023558,0.00030392612,0.0009417973,0.00092199625,0.0005653886],"domain_scores_gemma":[0.99612564,0.0011960763,0.0004526509,0.00057595235,0.001258424,0.00039130315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022431272,0.0008574218,0.0006457948,0.0018360356,0.001573581,0.003404602,0.0012219766,0.00086234196,0.010158744],"category_scores_gemma":[0.004853708,0.00055872,0.0013517418,0.0010814251,0.0043798676,0.0064061396,0.0034678616,0.0022717847,0.0022137044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002094399,0.000014191766,0.00013647354,0.000040790143,0.000009308279,0.00010848333,0.00054485834,0.00039765504,0.001278835,0.99276876,0.00044176244,0.004237901],"study_design_scores_gemma":[0.000016585569,0.00004043049,0.00017022603,0.000030670577,0.000012199401,0.000136509,0.0002912303,0.0038360606,0.0030806188,0.98256934,0.00978732,0.000028921357],"about_ca_topic_score_codex":0.0016492734,"about_ca_topic_score_gemma":0.0011006109,"teacher_disagreement_score":0.010158744,"about_ca_system_score_codex":0.0016100216,"about_ca_system_score_gemma":0.00083009334,"threshold_uncertainty_score":0.033984423},"labels":[],"label_agreement":null},{"id":"W2054770554","doi":"10.1090/s0002-9939-10-10376-1","title":"Factoring newparts of Jacobians of certain modular curves","year":2010,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Factoring; Modular design; Mathematics; Computer science; Arithmetic; Algebra over a field; Programming language; Pure mathematics; Business","score_opus":0.017232077188824184,"score_gpt":0.26810323503237404,"score_spread":0.25087115784354985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054770554","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72805756,0.0008128073,0.15514553,0.0014456213,0.0006649816,0.00015456059,0.00033021593,0.0010394005,0.11234929],"genre_scores_gemma":[0.94978034,0.0004909643,0.019695243,0.00022786648,0.0005195326,0.00005869332,0.0002708039,0.0005188846,0.0284377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989065,0.00011562722,0.000053731153,0.00034143636,0.0003355486,0.0002472102],"domain_scores_gemma":[0.99874866,0.00031203404,0.00019567602,0.00028536314,0.00018253735,0.00027566968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096708135,0.0013132115,0.00073203305,0.0022139477,0.0012990235,0.0022437987,0.0009259052,0.0009293393,0.015401996],"category_scores_gemma":[0.0036427178,0.00054570846,0.0018195256,0.0008462201,0.0035604853,0.005590063,0.00355957,0.0021690228,0.0017578244],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000083895604,0.00004935676,0.0011619366,0.00008720502,0.000024096144,0.00055828167,0.0010709852,0.0016810211,0.004729004,0.970041,0.0024433509,0.01806977],"study_design_scores_gemma":[0.000057753794,0.0001460953,0.0019611623,0.000037886344,0.00003903124,0.00051079533,0.00037484075,0.013319647,0.0064882343,0.9607609,0.016260631,0.000042997308],"about_ca_topic_score_codex":0.0014593495,"about_ca_topic_score_gemma":0.0013551331,"teacher_disagreement_score":0.015401996,"about_ca_system_score_codex":0.0016158473,"about_ca_system_score_gemma":0.00047604868,"threshold_uncertainty_score":0.05152476},"labels":[],"label_agreement":null},{"id":"W2058392009","doi":"10.1090/s0002-9939-09-10136-3","title":"Lie superautomorphisms on associative algebras","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Associative property; Mathematics; Idempotence; Homomorphism; Lie algebra; Pure mathematics; Simple (philosophy); Algebra over a field; Associative algebra; Algebra representation; Division algebra; Philosophy","score_opus":0.02611168230259118,"score_gpt":0.3070273622325425,"score_spread":0.2809156799299513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058392009","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23668836,0.001562928,0.4316826,0.0021518222,0.0012107672,0.0001234495,0.00042411574,0.0012833406,0.32487258],"genre_scores_gemma":[0.88310534,0.000857724,0.053576984,0.0008269918,0.00072982535,0.00014859265,0.0003347792,0.0003794942,0.060040295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848795,0.00045950632,0.0000984243,0.00028870828,0.0004504451,0.00021495835],"domain_scores_gemma":[0.9987192,0.0003308898,0.00012509337,0.00022573762,0.0004252925,0.00017383967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011644901,0.0005320391,0.000500672,0.001394393,0.0017047485,0.0016871055,0.00074901053,0.000587569,0.0107447775],"category_scores_gemma":[0.0023330397,0.00036331566,0.0013104922,0.0010216701,0.0023910382,0.004153089,0.0018877444,0.0016890977,0.0028464766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015242846,0.000013525782,0.000078780344,0.00002069495,0.000005361182,0.00012431247,0.00026188738,0.00041399177,0.0011916358,0.99207777,0.0008818026,0.004915069],"study_design_scores_gemma":[0.0000053251756,0.000015242379,0.0000940552,0.0000073499127,0.0000035380813,0.00015156688,0.00010438998,0.003319724,0.0013872199,0.98899055,0.005910963,0.0000101594815],"about_ca_topic_score_codex":0.00082393666,"about_ca_topic_score_gemma":0.0009493573,"teacher_disagreement_score":0.0107447775,"about_ca_system_score_codex":0.00097212335,"about_ca_system_score_gemma":0.00081323914,"threshold_uncertainty_score":0.03594488},"labels":[],"label_agreement":null},{"id":"W2059183346","doi":"10.1090/s0002-9939-2010-10487-2","title":"Remarks on global a priori estimates for the nonlinear Schrödinger equation","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"A priori and a posteriori; Nonlinear Schrödinger equation; Nonlinear system; Applied mathematics; Mathematics; Schrödinger equation; Mathematical analysis; Physics; Philosophy; Epistemology; Quantum mechanics","score_opus":0.0292153295450539,"score_gpt":0.33150793629633113,"score_spread":0.3022926067512772,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059183346","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01629371,0.00404008,0.90902644,0.0070907506,0.0011495986,0.000067954286,0.00069277355,0.00068945764,0.060949195],"genre_scores_gemma":[0.5314942,0.011132905,0.37734815,0.009150436,0.005653896,0.0011073508,0.0020364355,0.0034046094,0.05867198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727565,0.0010258186,0.00017565937,0.00045400482,0.00081525877,0.0002535013],"domain_scores_gemma":[0.9846244,0.009192146,0.00089126016,0.002148535,0.0025104936,0.0006332225],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009747571,0.0030423312,0.0014445708,0.0028423693,0.0015608253,0.0021306572,0.002725904,0.0017770183,0.01268494],"category_scores_gemma":[0.015921649,0.00083251524,0.0031575342,0.0008606115,0.0034871341,0.010034532,0.0057844,0.0076035047,0.0027459045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011224346,0.000034820612,0.0008436415,0.00042616285,0.000077002165,0.0003222631,0.00035292542,0.0080438,0.0046909736,0.9624777,0.009069202,0.01354926],"study_design_scores_gemma":[0.000017963655,0.00015363877,0.0014286169,0.000225615,0.00006931742,0.00033397568,0.00015078542,0.04920942,0.0048701065,0.9260548,0.017401906,0.000083914725],"about_ca_topic_score_codex":0.0012030911,"about_ca_topic_score_gemma":0.0011669091,"teacher_disagreement_score":0.01268494,"about_ca_system_score_codex":0.0013515662,"about_ca_system_score_gemma":0.00070181116,"threshold_uncertainty_score":0.051550686},"labels":[],"label_agreement":null},{"id":"W2059407767","doi":"10.1090/s0002-9939-06-08431-0","title":"The Molchanov–Vainberg Laplacian","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Conjecture; Laplace operator; Combinatorics; Physics; Mathematical physics; Function (biology); Mathematics; Quantum mechanics","score_opus":0.013590156114024032,"score_gpt":0.2733874239694521,"score_spread":0.25979726785542806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059407767","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09226906,0.0033396555,0.30693248,0.010622076,0.002265978,0.00007269997,0.0012585417,0.0011901691,0.5820493],"genre_scores_gemma":[0.72449815,0.0027717878,0.051437605,0.002448268,0.0016819311,0.00016245474,0.0010710793,0.0015735214,0.2143552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996259,0.000081927246,0.000010834428,0.00007921768,0.00013405958,0.00006802017],"domain_scores_gemma":[0.9995838,0.000103447084,0.0000369107,0.0000689784,0.00011458163,0.00009223282],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052803254,0.0005566656,0.00068274786,0.0013903308,0.0011266255,0.002218808,0.0013278169,0.0013540767,0.018927965],"category_scores_gemma":[0.0020986204,0.00022955792,0.0005906887,0.0007106954,0.0018479467,0.0025330526,0.0017280056,0.0017757473,0.0051023713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000050484364,0.000004375003,0.000035679906,0.000018941959,0.0000025149036,0.000030119598,0.0000397166,0.0012134952,0.00034846488,0.98861945,0.0057032597,0.003978924],"study_design_scores_gemma":[0.0000037882235,0.0000035577154,0.00010979505,0.000009076234,0.0000012472484,0.00005188819,0.00003047352,0.017679133,0.00018955582,0.9746767,0.0072340616,0.000010622774],"about_ca_topic_score_codex":0.0029193328,"about_ca_topic_score_gemma":0.0016792837,"teacher_disagreement_score":0.018927965,"about_ca_system_score_codex":0.0015265726,"about_ca_system_score_gemma":0.00092349784,"threshold_uncertainty_score":0.06332034},"labels":[],"label_agreement":null},{"id":"W2059851496","doi":"10.1090/s0002-9939-08-09538-5","title":"SAGBI bases for rings of invariant Laurent polynomials","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Laurent polynomial; Automorphism; Laurent series; Invariant (physics); Polynomial ring; Ring (chemistry); Combinatorics; Pure mathematics; Order (exchange); Basis (linear algebra); Automorphism group; Polynomial; Algebra over a field; Discrete mathematics; Mathematical analysis; Geometry; Mathematical physics","score_opus":0.020231227462368145,"score_gpt":0.24322069141448008,"score_spread":0.22298946395211194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059851496","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5332248,0.001946199,0.2677781,0.0012653692,0.0004603458,0.00013676795,0.00069600187,0.00062134984,0.193871],"genre_scores_gemma":[0.922588,0.0009097213,0.051256593,0.00027370406,0.0003019207,0.00016899736,0.000830274,0.00012013516,0.023550665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941015,0.00013049676,0.000029077111,0.00006575935,0.00019324134,0.00017131308],"domain_scores_gemma":[0.99934846,0.00011537914,0.0000926416,0.00011385737,0.00015829918,0.00017131132],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007649667,0.00043241915,0.000585869,0.0013282709,0.0013308243,0.0021872127,0.0006118961,0.00040539211,0.006428611],"category_scores_gemma":[0.0014887659,0.0003465581,0.000435664,0.0011101781,0.0012879494,0.002063318,0.001686823,0.0014192247,0.0022599623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005704969,0.000025451911,0.00016726374,0.000028611685,0.000004377012,0.000040542767,0.00015943515,0.00083931827,0.002068641,0.9858517,0.0012721024,0.009485409],"study_design_scores_gemma":[0.000029089417,0.000054669203,0.00030146018,0.000021907394,0.0000075227567,0.0000939446,0.00019151361,0.005299909,0.0037496008,0.97781277,0.012416581,0.000020995125],"about_ca_topic_score_codex":0.00045539121,"about_ca_topic_score_gemma":0.00066404504,"teacher_disagreement_score":0.006428611,"about_ca_system_score_codex":0.00073195033,"about_ca_system_score_gemma":0.0006756706,"threshold_uncertainty_score":0.021505833},"labels":[],"label_agreement":null},{"id":"W2060032657","doi":"10.1090/s0002-9939-07-08875-2","title":"On a conjecture of Broughan","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Conjecture; Mathematics; Combinatorics","score_opus":0.0060535943122672,"score_gpt":0.26668901618555746,"score_spread":0.26063542187329025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060032657","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19596925,0.0078077554,0.19302426,0.11062447,0.006910715,0.0001500377,0.0017184789,0.0019903285,0.48180476],"genre_scores_gemma":[0.8972395,0.0019867255,0.03535807,0.014973319,0.0040770913,0.00029295986,0.0015685896,0.0006628266,0.04384097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99580437,0.0010199865,0.00019143404,0.0013566158,0.0008962896,0.0007312624],"domain_scores_gemma":[0.9865231,0.006942446,0.00066311297,0.0023627852,0.002435556,0.0010729311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004719393,0.00084333995,0.0018768195,0.0028307673,0.006933863,0.004119275,0.002356485,0.0032410258,0.019340368],"category_scores_gemma":[0.024426436,0.00065162184,0.0019425683,0.0020600401,0.010430291,0.01878473,0.0077123134,0.0063884235,0.0020781702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087523906,0.00001936546,0.00047216757,0.000051649597,0.000008635202,0.000060846556,0.00038589194,0.00026891983,0.0002033083,0.9845517,0.010433576,0.0034564734],"study_design_scores_gemma":[0.000027010366,0.00002541053,0.0004456798,0.0000433836,0.000008210731,0.00011334414,0.00015457153,0.0014328589,0.00024008733,0.98241925,0.015068608,0.000021508004],"about_ca_topic_score_codex":0.005882387,"about_ca_topic_score_gemma":0.0027523322,"teacher_disagreement_score":0.019340368,"about_ca_system_score_codex":0.0031950471,"about_ca_system_score_gemma":0.0017087976,"threshold_uncertainty_score":0.06469995},"labels":[],"label_agreement":null},{"id":"W2060915841","doi":"10.1090/s0002-9939-2011-10840-2","title":"Nonzero positive solutions of systems of elliptic boundary value problems","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sublinear function; Eigenvalues and eigenvectors; Mathematics; Boundary value problem; Mathematical analysis; Quarter period; Elliptic boundary value problem; Laplace operator; Order (exchange); Applied mathematics; Elliptic curve; Free boundary problem; Physics","score_opus":0.023159287770880662,"score_gpt":0.23048991647946532,"score_spread":0.20733062870858465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060915841","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52857715,0.0012634151,0.41042686,0.0023577628,0.0003914284,0.00011427057,0.00010362842,0.00021401676,0.056551356],"genre_scores_gemma":[0.96880543,0.0004082776,0.019399965,0.00014109266,0.00014885412,0.00013199306,0.00007447225,0.000046842102,0.010843066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992449,0.00027137584,0.00003325872,0.00011302815,0.00020390152,0.00013346822],"domain_scores_gemma":[0.99848384,0.00067953725,0.00022783353,0.00007662783,0.00034589187,0.00018630378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011002471,0.00084446894,0.00064522016,0.001110451,0.0008484235,0.002622204,0.0006431619,0.0012164407,0.003126028],"category_scores_gemma":[0.0054943273,0.000556569,0.0004353518,0.00041793325,0.002727412,0.0020093655,0.0023232088,0.0014602866,0.00033515962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001313941,0.000057678397,0.0012163863,0.00021506696,0.000046670917,0.0005593569,0.0007431091,0.029089486,0.024027465,0.9325897,0.0020150668,0.0093086045],"study_design_scores_gemma":[0.00009675118,0.00010904857,0.0008926445,0.0000805267,0.000021283797,0.00041366354,0.0005892785,0.33714715,0.006393677,0.65132594,0.0028694286,0.00006064884],"about_ca_topic_score_codex":0.00044992813,"about_ca_topic_score_gemma":0.00029420754,"teacher_disagreement_score":0.003126028,"about_ca_system_score_codex":0.00055650936,"about_ca_system_score_gemma":0.0007343583,"threshold_uncertainty_score":0.010457575},"labels":[],"label_agreement":null},{"id":"W2061600359","doi":"10.1090/s0002-9939-2011-11020-7","title":"Characterization of extremal valued fields","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; University of Saskatchewan; John Templeton Foundation","keywords":"Characterization (materials science); Mathematics; Physics; Optics","score_opus":0.06266939358621254,"score_gpt":0.26466898906530795,"score_spread":0.2019995954790954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061600359","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89112973,0.0012359767,0.06422039,0.0010320572,0.000086924134,0.00003980592,0.00031660334,0.00014208359,0.041796487],"genre_scores_gemma":[0.99392325,0.00025654925,0.0031049703,0.00004321835,0.00009518385,0.000011335266,0.00013323393,0.000016657776,0.0024156224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994491,0.00009231974,0.000032938402,0.00013466047,0.00013746343,0.0001535696],"domain_scores_gemma":[0.9984428,0.00044754948,0.00037623307,0.00012903076,0.00023686352,0.0003674945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008029929,0.00038701764,0.00048376975,0.002140304,0.00093828497,0.0026793657,0.0007241495,0.0005455389,0.0042634364],"category_scores_gemma":[0.0027069848,0.00024487262,0.00028706476,0.001334134,0.0019866573,0.003745255,0.0015570734,0.001469033,0.00030032932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010103694,0.0000565324,0.0029261687,0.000082504856,0.000015034367,0.00030984925,0.00036685317,0.0012943734,0.004731107,0.9782944,0.000744983,0.01107722],"study_design_scores_gemma":[0.000040365605,0.00008584165,0.004372133,0.000091631904,0.00003286185,0.0014296194,0.0005749848,0.01250872,0.0067988504,0.96360606,0.010411813,0.000047130652],"about_ca_topic_score_codex":0.00014475247,"about_ca_topic_score_gemma":0.00009938426,"teacher_disagreement_score":0.0042634364,"about_ca_system_score_codex":0.00091770507,"about_ca_system_score_gemma":0.0002788587,"threshold_uncertainty_score":0.014262617},"labels":[],"label_agreement":null},{"id":"W2061880887","doi":"10.1090/s0002-9939-07-08892-2","title":"On quasifree profinite groups","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; National Science Foundation","keywords":"Annotation; Algorithm; Computer science; Type (biology); Semantics (computer science); Artificial intelligence; Programming language; Biology","score_opus":0.020808992345181004,"score_gpt":0.2868151360517113,"score_spread":0.26600614370653025,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061880887","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3696202,0.0033541797,0.32591945,0.004851562,0.0011885182,0.000101735306,0.0007627769,0.0011114936,0.29309005],"genre_scores_gemma":[0.9150989,0.0010445454,0.03058106,0.0009465538,0.0009377986,0.000091793765,0.0007659788,0.0002217668,0.050311483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981243,0.0005593448,0.00012741487,0.0004371017,0.00043858026,0.00031328376],"domain_scores_gemma":[0.9972608,0.0011196213,0.00028505735,0.00043386128,0.00052292,0.00037769479],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020493553,0.00074829214,0.0005463059,0.001947937,0.0019967621,0.002416459,0.00056795817,0.00075337006,0.0093025565],"category_scores_gemma":[0.0035802515,0.00036377332,0.0011937818,0.00094806566,0.0038772596,0.0068200817,0.0027597817,0.0018005781,0.0018626392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029913559,0.0000088059005,0.00015754541,0.0000284676,0.0000043247805,0.00006245537,0.00031312436,0.00026957842,0.0007337397,0.9938891,0.0009036952,0.003599277],"study_design_scores_gemma":[0.000015041099,0.000041209296,0.00024306658,0.000017141097,0.000006789331,0.000101467565,0.00011684282,0.0023818766,0.0009644857,0.98481095,0.011283344,0.000017725282],"about_ca_topic_score_codex":0.0012384948,"about_ca_topic_score_gemma":0.0012124868,"teacher_disagreement_score":0.0093025565,"about_ca_system_score_codex":0.0017290983,"about_ca_system_score_gemma":0.0005280909,"threshold_uncertainty_score":0.031120181},"labels":[],"label_agreement":null},{"id":"W2062936244","doi":"10.1090/s0002-9939-2015-12446-x","title":"Blow-up phenomena for a class of fourth-order parabolic problems","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Star (game theory); Mathematics; Class (philosophy); Interval (graph theory); Order (exchange); Upper and lower bounds; Sobolev space; Pure mathematics; Type (biology); Construct (python library); Mathematical analysis; Combinatorics; Computer science","score_opus":0.06893467236460271,"score_gpt":0.3261422607599526,"score_spread":0.2572075883953499,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062936244","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42878893,0.0032920206,0.462585,0.0053437776,0.00047378358,0.00021598153,0.0005722005,0.0007741083,0.097954154],"genre_scores_gemma":[0.93955636,0.0011485743,0.027700773,0.00041786875,0.00016514967,0.0001765048,0.0003705358,0.00024681358,0.03021756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995403,0.00010988128,0.000025426181,0.000058627833,0.0001822157,0.0000836633],"domain_scores_gemma":[0.99883765,0.00051099743,0.00017211896,0.00007174282,0.00021086867,0.00019659902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010664765,0.0007349247,0.000676801,0.0014108549,0.0014413492,0.0018882009,0.00086448627,0.0012320171,0.00680197],"category_scores_gemma":[0.004045871,0.00039224944,0.0014606953,0.00051077694,0.0025555843,0.002331646,0.0020676896,0.0019985018,0.00041013144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010229029,0.000041960517,0.0014021316,0.00029211133,0.00006746098,0.0006171851,0.00076095696,0.051886,0.010647189,0.9233266,0.00298026,0.007875969],"study_design_scores_gemma":[0.000040093415,0.000052248102,0.0010008749,0.000060807215,0.0000222416,0.00028399136,0.00040563723,0.4728687,0.0022539324,0.51900285,0.0039723404,0.000036317786],"about_ca_topic_score_codex":0.0028485048,"about_ca_topic_score_gemma":0.0012102869,"teacher_disagreement_score":0.00680197,"about_ca_system_score_codex":0.0014665171,"about_ca_system_score_gemma":0.0010090956,"threshold_uncertainty_score":0.022754848},"labels":[],"label_agreement":null},{"id":"W2063971628","doi":"10.1090/s0002-9939-07-09058-2","title":"Groups which do not admit ghosts","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Cohomology; Suspension (topology); Group (periodic table); Ring (chemistry); Pure mathematics; Commutative ring; Commutative property; Combinatorics; Physics; Chemistry; Quantum mechanics","score_opus":0.018757324263661928,"score_gpt":0.28710111421572326,"score_spread":0.2683437899520613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063971628","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9377233,0.00026056013,0.018470755,0.00045856988,0.00012152921,0.000020287458,0.0001019239,0.0002510521,0.042592127],"genre_scores_gemma":[0.98887724,0.00007179463,0.0030009397,0.00009566325,0.000043320317,0.000013225879,0.0001320911,0.000029110774,0.007736644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99947625,0.00007330581,0.0000330178,0.000117677584,0.00013587817,0.00016396401],"domain_scores_gemma":[0.9990164,0.0002018382,0.00012856734,0.000273173,0.00013260992,0.00024725017],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005533084,0.0003008704,0.0003879237,0.0009898598,0.0015702941,0.0021562264,0.00051117485,0.00073647976,0.0050968532],"category_scores_gemma":[0.0017172251,0.0002396174,0.0004224189,0.00056107616,0.0026567427,0.004193125,0.0030459128,0.00093479647,0.0006826056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001047233,0.00006485343,0.005550148,0.000051098308,0.000021708394,0.00060363143,0.002331394,0.00059263036,0.0122589925,0.96187544,0.0011203832,0.0154249985],"study_design_scores_gemma":[0.000038630016,0.00016006155,0.003861805,0.000025027906,0.000034568664,0.0011689404,0.00184873,0.004009899,0.012744935,0.9548139,0.021252358,0.000041189534],"about_ca_topic_score_codex":0.00029706213,"about_ca_topic_score_gemma":0.0003761298,"teacher_disagreement_score":0.0050968532,"about_ca_system_score_codex":0.00070436974,"about_ca_system_score_gemma":0.0006176293,"threshold_uncertainty_score":0.017050683},"labels":[],"label_agreement":null},{"id":"W2064654488","doi":"10.1090/s0002-9939-07-08776-x","title":"On the regularity of the Neumann problem for free surfaces with surface tension","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Aquatic and Environmental Studies","field":"Earth and Planetary Sciences","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Surface tension; Omega; Free surface; Surface (topology); Nirenberg and Matthaei experiment; Mathematics; Point (geometry); Minimal surface; Von Neumann architecture; Pure mathematics; Free form; Mathematical analysis; Geometry; Combinatorics; Physics; Computer science; Thermodynamics; Quantum mechanics; Computer graphics (images)","score_opus":0.011848088420054088,"score_gpt":0.19753086315214313,"score_spread":0.18568277473208905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064654488","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30905953,0.0074047837,0.47251132,0.009910442,0.0014624808,0.00020089225,0.000725809,0.0005172541,0.19820753],"genre_scores_gemma":[0.83373916,0.004163546,0.076435685,0.0011295392,0.0015340431,0.0003018337,0.0014900693,0.0009181031,0.08028794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873215,0.0004040797,0.00006634247,0.0002585686,0.00033190797,0.00020698864],"domain_scores_gemma":[0.9973279,0.0016917181,0.00020090779,0.00019460231,0.000340988,0.00024380474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001984078,0.0012141793,0.001166224,0.002059307,0.0018851712,0.0021556641,0.0017824781,0.0021593578,0.0051997914],"category_scores_gemma":[0.0099300975,0.00080502965,0.0017626582,0.0008004137,0.006769511,0.006426638,0.00411922,0.003827686,0.0011816832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006349071,0.000019878367,0.0003544579,0.00010771477,0.000012112942,0.00008277229,0.00028665568,0.006331316,0.0014078818,0.9836928,0.0020490089,0.005591794],"study_design_scores_gemma":[0.000014036484,0.00002549462,0.00040613496,0.000028315133,0.0000065498834,0.000058863952,0.00009241455,0.032581124,0.00063961087,0.96091914,0.005201014,0.00002723476],"about_ca_topic_score_codex":0.0033061411,"about_ca_topic_score_gemma":0.0018435698,"teacher_disagreement_score":0.0051997914,"about_ca_system_score_codex":0.001821613,"about_ca_system_score_gemma":0.0010037285,"threshold_uncertainty_score":0.01739502},"labels":[],"label_agreement":null},{"id":"W2066591664","doi":"10.1090/s0002-9939-08-09639-1","title":"A note on the $2k$-th power mean of character sums over the quarter interval","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"National Science Foundation","keywords":"Quarter (Canadian coin); Character (mathematics); Interval (graph theory); Power (physics); Mathematics; Statistics; Arithmetic; Combinatorics; History; Physics; Thermodynamics; Geometry","score_opus":0.03672424906815803,"score_gpt":0.3166021284332423,"score_spread":0.2798778793650843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066591664","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19283898,0.010260836,0.61197644,0.010725095,0.004986072,0.000066184046,0.0004450934,0.0018545417,0.1668468],"genre_scores_gemma":[0.87659687,0.0039999844,0.085811384,0.0020246888,0.0039359895,0.0001690566,0.00023644352,0.001319818,0.025905652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991677,0.00019083427,0.000046139896,0.00016755101,0.00031476788,0.00011308216],"domain_scores_gemma":[0.9960592,0.0021358859,0.0002890902,0.00064906804,0.00059523166,0.00027148292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019543932,0.00070229627,0.0009341741,0.0024916027,0.0009457578,0.0021291543,0.0022853066,0.0010675575,0.0077629387],"category_scores_gemma":[0.01594549,0.00036173605,0.0007474309,0.0015553162,0.0037424788,0.0051391963,0.002110748,0.0036588379,0.0018100291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009554865,0.000027300479,0.0012855203,0.00016831075,0.000015106693,0.00044874326,0.00047256929,0.0033001404,0.007180858,0.946862,0.007119851,0.033024117],"study_design_scores_gemma":[0.000009781953,0.00004892157,0.0025181635,0.000099294084,0.00002526255,0.0008808466,0.00010919684,0.045853317,0.0053187213,0.9271395,0.017924178,0.00007273204],"about_ca_topic_score_codex":0.0008118334,"about_ca_topic_score_gemma":0.00078640704,"teacher_disagreement_score":0.0077629387,"about_ca_system_score_codex":0.001696676,"about_ca_system_score_gemma":0.00046425086,"threshold_uncertainty_score":0.025969625},"labels":[],"label_agreement":null},{"id":"W2066625570","doi":"10.1090/s0002-9939-2012-11531-x","title":"Polyhedral surfaces and determinant of Laplacian","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Hausdorff Research Institute for Mathematics; Natural Sciences and Engineering Research Council of Canada","keywords":"Laplace operator; Semantics (computer science); Holonomy; Genus; Surface (topology); Algorithm; Computer science; Annotation; Mathematics; Artificial intelligence; Geometry; Pure mathematics; Mathematical analysis; Biology; Programming language","score_opus":0.02862085582303745,"score_gpt":0.28705949434830935,"score_spread":0.2584386385252719,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066625570","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35682172,0.0038369745,0.22430323,0.004145041,0.0013156655,0.00008258305,0.0005774763,0.0010298206,0.40788743],"genre_scores_gemma":[0.95675635,0.0009539387,0.01134454,0.00031793388,0.00045709405,0.00003103808,0.00022904245,0.00028194606,0.029628066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99966323,0.00004481933,0.0000136362205,0.00006474197,0.00016084436,0.000052761196],"domain_scores_gemma":[0.9994766,0.00016987597,0.0000494738,0.00006077169,0.00014145779,0.000101943624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002585765,0.0005019507,0.00045640313,0.00202502,0.0007156296,0.001911321,0.0008064904,0.000642043,0.012304859],"category_scores_gemma":[0.0021298057,0.00020626842,0.00036374698,0.0009155575,0.0018364219,0.0020378751,0.0013647876,0.0010632869,0.0018329455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009301819,0.000013896065,0.0002581145,0.000044600805,0.0000037254088,0.00011807162,0.00015160421,0.0012088135,0.0010030853,0.98525524,0.0034667503,0.008466823],"study_design_scores_gemma":[0.0000068119944,0.000012285211,0.00082671863,0.0000212881,0.000005441395,0.00027776932,0.000118334654,0.020274838,0.0007276328,0.9705395,0.007172426,0.000016921575],"about_ca_topic_score_codex":0.0015621769,"about_ca_topic_score_gemma":0.0016170841,"teacher_disagreement_score":0.012304859,"about_ca_system_score_codex":0.0011060897,"about_ca_system_score_gemma":0.00041472947,"threshold_uncertainty_score":0.04116392},"labels":[],"label_agreement":null},{"id":"W2068394199","doi":"10.1090/s0002-9939-2011-10853-0","title":"The Radon-Nikodym property for some Banach algebras related to the Fourier algebra","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Property (philosophy); Mathematics; Pure mathematics; Algebra over a field; Fourier transform; Banach algebra; Banach space; Mathematical analysis; Philosophy","score_opus":0.03675088372888827,"score_gpt":0.30332605318909683,"score_spread":0.26657516946020854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068394199","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1238975,0.003275005,0.6405579,0.004810061,0.00096678175,0.000102540616,0.0009887113,0.0006717586,0.22472984],"genre_scores_gemma":[0.7908168,0.0033897401,0.12305102,0.0016953179,0.0013875611,0.0002598114,0.0014148683,0.0005887259,0.077396065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983022,0.00048466193,0.0001299228,0.00032493204,0.0004953622,0.00026287462],"domain_scores_gemma":[0.9978309,0.0007232848,0.00031974766,0.00017644727,0.00070623413,0.00024334471],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023827893,0.0007507467,0.0008048674,0.0021036812,0.0016720942,0.0032603226,0.00081816356,0.001163373,0.0112251],"category_scores_gemma":[0.004493729,0.00048325953,0.0019198686,0.001506962,0.0030383538,0.0069809663,0.0019536586,0.0034836426,0.0031248024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016882053,0.000014400956,0.00008614213,0.00003210747,0.0000087304,0.000058162575,0.00012369122,0.00032465643,0.00066457177,0.99324846,0.0010976064,0.004324577],"study_design_scores_gemma":[0.000011400112,0.00003644979,0.0003202885,0.000016667826,0.000010882212,0.00029729272,0.000119389966,0.005015258,0.0010950997,0.9826524,0.010397908,0.000026983435],"about_ca_topic_score_codex":0.001148611,"about_ca_topic_score_gemma":0.00066815957,"teacher_disagreement_score":0.0112251,"about_ca_system_score_codex":0.001423607,"about_ca_system_score_gemma":0.0013751044,"threshold_uncertainty_score":0.0375517},"labels":[],"label_agreement":null},{"id":"W2068442839","doi":"10.1090/s0002-9939-2012-11254-7","title":"On the parity of the number of multiplicative partitions and related problems","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Multiplicative function; Combinatorics; Mathematics; Parity (physics); Factorization; Partition (number theory); Product (mathematics); Arithmetic progression; Arithmetic function; Function (biology); Arithmetic; Discrete mathematics; Physics; Algorithm; Geometry; Mathematical analysis; Atomic physics","score_opus":0.03172690816584113,"score_gpt":0.31060501366180626,"score_spread":0.27887810549596515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068442839","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7398066,0.0047180024,0.12759918,0.016377386,0.000919697,0.00007922437,0.000580884,0.00047789532,0.109441206],"genre_scores_gemma":[0.97342503,0.0012496145,0.013702118,0.00081269303,0.0010783883,0.00013513016,0.0002867679,0.00020067126,0.009109586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99664515,0.0011866301,0.00011684163,0.00063202914,0.0008049473,0.00061441906],"domain_scores_gemma":[0.97541046,0.01803063,0.0015223696,0.002383229,0.0013935597,0.0012596952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003925776,0.00070907245,0.0013746978,0.0025163635,0.0025322696,0.0039579123,0.0025699865,0.0022938934,0.008003736],"category_scores_gemma":[0.038990792,0.0007123075,0.0010675229,0.001727138,0.008226498,0.008687419,0.0035731767,0.0031779653,0.0012243837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017897005,0.000050762897,0.0021258884,0.000089624016,0.000013599457,0.00012690887,0.00030137136,0.0035119285,0.0011505159,0.9755103,0.0037337253,0.013206369],"study_design_scores_gemma":[0.000045501074,0.0000393266,0.0013278791,0.000044015313,0.000014755943,0.00035988272,0.00011813307,0.029456025,0.000739339,0.9652452,0.0025736257,0.000036328795],"about_ca_topic_score_codex":0.0013270495,"about_ca_topic_score_gemma":0.0005700556,"teacher_disagreement_score":0.008003736,"about_ca_system_score_codex":0.0023367128,"about_ca_system_score_gemma":0.0012319525,"threshold_uncertainty_score":0.026775181},"labels":[],"label_agreement":null},{"id":"W2068493404","doi":"10.1090/s0002-9939-2014-11824-7","title":"Extending multipliers of the Fourier algebra from a subgroup","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Queen's University","funders":"","keywords":"Multiplier (economics); Algorithm; Bounded function; Norm (philosophy); Annotation; Mathematics; Computer science; Artificial intelligence; Mathematical analysis","score_opus":0.02059029827933223,"score_gpt":0.2991411357062975,"score_spread":0.2785508374269653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068493404","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6786264,0.0005568815,0.27017972,0.0009155437,0.00031307622,0.000102482314,0.00013989116,0.0002541309,0.04891187],"genre_scores_gemma":[0.91118145,0.00044075653,0.06443857,0.0002910035,0.00048121752,0.00013377501,0.0002945478,0.00016312457,0.022575587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986512,0.00043202844,0.0000869263,0.00031006784,0.000328747,0.00019113239],"domain_scores_gemma":[0.9987457,0.00040623505,0.00019481186,0.00019547588,0.00021344112,0.00024428242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019754365,0.0006275564,0.00054683804,0.00079599424,0.0013619842,0.0015188443,0.0007220412,0.00057306985,0.004856118],"category_scores_gemma":[0.0031380039,0.00026086654,0.0010255611,0.00041992223,0.0022497699,0.0056071007,0.0030688916,0.0016744025,0.00072997523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114138464,0.00004058581,0.00036167048,0.000046869187,0.000012727911,0.00021209546,0.0007239625,0.00079547253,0.0046788957,0.98195076,0.00043186793,0.010630964],"study_design_scores_gemma":[0.000043571654,0.00021749624,0.00032431888,0.00003390944,0.000018047682,0.00034741897,0.00044021636,0.005897472,0.0064274357,0.97632253,0.00988972,0.00003785492],"about_ca_topic_score_codex":0.00034721618,"about_ca_topic_score_gemma":0.00022089851,"teacher_disagreement_score":0.004856118,"about_ca_system_score_codex":0.0007845456,"about_ca_system_score_gemma":0.0005666769,"threshold_uncertainty_score":0.016245306},"labels":[],"label_agreement":null},{"id":"W2069277356","doi":"10.1090/s0002-9939-2014-12412-9","title":"The four-dimensional Perfect-Mirsky Conjecture","year":2014,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Digital Image Processing Techniques","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Combinatorics","score_opus":0.012467552668576834,"score_gpt":0.24587778966944399,"score_spread":0.23341023700086716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069277356","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.867803,0.00026726178,0.060934644,0.0019009388,0.00013451846,0.000024470197,0.00069585326,0.00073173223,0.06750768],"genre_scores_gemma":[0.9887705,0.00008322311,0.0056388453,0.0001514566,0.00007129619,0.00002436951,0.00041590488,0.00006442819,0.004780011],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878925,0.00022330385,0.00006960168,0.0002547405,0.00041122112,0.0002517715],"domain_scores_gemma":[0.99729615,0.0009062864,0.00047634763,0.000578476,0.00045344865,0.0002892784],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009788148,0.00058259035,0.00069001224,0.001186432,0.0014161397,0.0020952257,0.0011140768,0.0009697755,0.007778321],"category_scores_gemma":[0.006219267,0.00040759996,0.00070742186,0.0007034557,0.0023731398,0.0027397443,0.0022901248,0.0011878297,0.0015265004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001773035,0.00003415583,0.002689085,0.00007296778,0.000020515427,0.0001704903,0.00033626484,0.0065561463,0.0023460747,0.9768212,0.004043823,0.0067320317],"study_design_scores_gemma":[0.000035451143,0.000032095628,0.0009857289,0.000018597944,0.000010451881,0.00010815325,0.00018295935,0.033447575,0.0021957802,0.96078354,0.0021760452,0.000023720759],"about_ca_topic_score_codex":0.0020259242,"about_ca_topic_score_gemma":0.001389481,"teacher_disagreement_score":0.007778321,"about_ca_system_score_codex":0.00096806494,"about_ca_system_score_gemma":0.0006924767,"threshold_uncertainty_score":0.026021063},"labels":[],"label_agreement":null},{"id":"W2069439161","doi":"10.1090/s0002-9939-2013-11787-9","title":"A new proof on the characterization of vanishing subalgebras of group algebras","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Subspace topology; Group (periodic table); Locally compact group; Algebra over a field; Pure mathematics; Characterization (materials science); Almost everywhere; Proof of concept; Combinatorics; Locally compact space; Discrete mathematics; Computer science; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.024020389042847572,"score_gpt":0.28384898558946,"score_spread":0.2598285965466124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069439161","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07450904,0.0025385383,0.8227717,0.0067787864,0.0013868186,0.00013692088,0.00075510726,0.00068813516,0.09043491],"genre_scores_gemma":[0.7801246,0.0034305465,0.17793068,0.0039628963,0.0034426763,0.00042179765,0.0009788855,0.00055001216,0.029157866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990165,0.00020758259,0.00006978103,0.00022354412,0.00031912717,0.00016340385],"domain_scores_gemma":[0.99806815,0.00048589954,0.00017710074,0.00021198388,0.00069320557,0.00036364194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017912767,0.0010371755,0.00082071265,0.0025396019,0.0014681945,0.0015530325,0.0012126352,0.0007622859,0.008042765],"category_scores_gemma":[0.0032079665,0.00040671497,0.0013125545,0.0011354663,0.0036486536,0.006930931,0.005318722,0.004649457,0.0009245807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015948786,0.000029625962,0.000292619,0.000084927786,0.000012424303,0.00010040856,0.0004249379,0.0003663592,0.0033501727,0.9859768,0.0026242095,0.0067215357],"study_design_scores_gemma":[0.000015357875,0.000051381132,0.00064624584,0.000028204173,0.000029524024,0.00032463315,0.0002692633,0.0048750173,0.0029532234,0.96508384,0.025697876,0.000025335323],"about_ca_topic_score_codex":0.00074828183,"about_ca_topic_score_gemma":0.0005158517,"teacher_disagreement_score":0.008042765,"about_ca_system_score_codex":0.0009161286,"about_ca_system_score_gemma":0.0009791282,"threshold_uncertainty_score":0.026905715},"labels":[],"label_agreement":null},{"id":"W2069932879","doi":"10.1090/s0002-9939-09-09929-8","title":"Splittings of monomial ideals","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Oklahoma State University; Louisiana Board of Regents","keywords":"Monomial; Betti number; Monomial ideal; Bipartite graph; Mathematics; Cover (algebra); Ideal (ethics); Enhanced Data Rates for GSM Evolution; Combinatorics; Discrete mathematics; Pure mathematics; Graph; Polynomial ring; Computer science; Mathematical analysis; Artificial intelligence","score_opus":0.024551888365936605,"score_gpt":0.31336212731516055,"score_spread":0.288810238949224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069932879","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81219107,0.0004011896,0.1285846,0.00030768153,0.00017378601,0.0000686271,0.0002176456,0.00026195525,0.057793476],"genre_scores_gemma":[0.9713453,0.00016440991,0.02064955,0.00005677635,0.000118675314,0.000027932936,0.00023072449,0.00007521279,0.0073313355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942255,0.000053401232,0.000034055556,0.00011031686,0.00022310433,0.0001565037],"domain_scores_gemma":[0.9991565,0.00019178377,0.000106245985,0.0001424296,0.00016251704,0.00024065512],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073088356,0.00027719882,0.00038971606,0.0014740286,0.0011230547,0.0011331107,0.0005393981,0.000232452,0.0061160326],"category_scores_gemma":[0.0024391436,0.00026099614,0.00053857797,0.0006155983,0.0015337397,0.002548378,0.0014467528,0.0012555975,0.0007710731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008619921,0.000038296144,0.0023109557,0.000043763106,0.00001150946,0.00024355666,0.0006961687,0.0021439714,0.013659412,0.96442664,0.00074495614,0.0155947115],"study_design_scores_gemma":[0.000020028569,0.00005695806,0.002210774,0.000032947883,0.000017909064,0.0004083605,0.0004699289,0.02019908,0.018787628,0.9500433,0.007726578,0.00002642591],"about_ca_topic_score_codex":0.00045563935,"about_ca_topic_score_gemma":0.00084393966,"teacher_disagreement_score":0.0061160326,"about_ca_system_score_codex":0.00065267686,"about_ca_system_score_gemma":0.00028911923,"threshold_uncertainty_score":0.020460188},"labels":[],"label_agreement":null},{"id":"W2071033584","doi":"10.1090/s0002-9939-2013-11493-0","title":"Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Mathematical analysis; Boundary value problem; Dirichlet boundary condition; Dirichlet distribution; Upper and lower bounds; Class (philosophy); Parabolic partial differential equation; Boundary (topology); Partial differential equation","score_opus":0.020524241681622007,"score_gpt":0.27906942640458426,"score_spread":0.2585451847229623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071033584","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.64402866,0.006746395,0.32380682,0.001965126,0.00040111784,0.00022542973,0.00025921589,0.00042638485,0.022140827],"genre_scores_gemma":[0.9712525,0.0020112356,0.016971523,0.00013076185,0.0001882511,0.00011311252,0.00026631443,0.00014618959,0.008920093],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992275,0.00024462157,0.00005684571,0.00009265169,0.00022828324,0.00015021037],"domain_scores_gemma":[0.9939545,0.003977218,0.0006996964,0.00021479938,0.00060457544,0.0005492677],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020026355,0.0020508694,0.0014627882,0.0021032828,0.0015767696,0.0022275883,0.0013642061,0.0024668188,0.0018964118],"category_scores_gemma":[0.012937267,0.0007128362,0.0013861088,0.00073260145,0.0034035954,0.0026746031,0.0029033595,0.002519289,0.00022475427],"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":[0.0011662714,0.0002401929,0.005531314,0.0028257691,0.00027774624,0.007648978,0.0027827374,0.41945377,0.1378729,0.38274977,0.0035341624,0.035916403],"study_design_scores_gemma":[0.00004868117,0.00015424761,0.0014374551,0.00012984591,0.00004525276,0.00060603186,0.00031690253,0.89782596,0.013873253,0.08440869,0.0010891168,0.00006457158],"about_ca_topic_score_codex":0.0018442693,"about_ca_topic_score_gemma":0.0009870694,"teacher_disagreement_score":0.0024668188,"about_ca_system_score_codex":0.0011223803,"about_ca_system_score_gemma":0.000776892,"threshold_uncertainty_score":0.01059109},"labels":[],"label_agreement":null},{"id":"W2071552450","doi":"10.1090/s0002-9939-2013-11548-0","title":"Balanced metrics and Chow stability of projective bundles over Riemann surfaces","year":2013,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Compact Riemann surface; Vector bundle; Rank (graph theory); Pure mathematics; Scalar curvature; Riemann surface; Genus; Mathematical analysis; Combinatorics; Curvature; Geometry","score_opus":0.04296229688593159,"score_gpt":0.29685405443197954,"score_spread":0.253891757546048,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071552450","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9587375,0.0009737312,0.017847937,0.00085495994,0.00007827441,0.000019414987,0.00012845165,0.000074466,0.02128519],"genre_scores_gemma":[0.99444866,0.0003709699,0.0015982257,0.000046853038,0.00010095039,0.000011369522,0.00013095561,0.000017649325,0.003274387],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999617,0.00007102988,0.00002026967,0.0000775641,0.00012259504,0.00009146556],"domain_scores_gemma":[0.99926084,0.00009449953,0.00017589596,0.0000463415,0.00018980764,0.0002325474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033495395,0.00058363576,0.0003773209,0.0022498874,0.0011108181,0.001953558,0.0004031903,0.0005587595,0.0031240657],"category_scores_gemma":[0.001776318,0.00026601664,0.00031419072,0.0008376174,0.0018797545,0.002556795,0.002140244,0.00084083923,0.00039751444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006061286,0.000022039538,0.004647846,0.00004033115,0.00002343136,0.00039126285,0.00063921046,0.0030101873,0.010371043,0.9689642,0.0011699307,0.0106599415],"study_design_scores_gemma":[0.00003220995,0.000100672856,0.012102722,0.00002998778,0.000018935632,0.0007372105,0.0004037345,0.020264724,0.00489317,0.95459807,0.006768532,0.00005000464],"about_ca_topic_score_codex":0.0017191259,"about_ca_topic_score_gemma":0.0010954118,"teacher_disagreement_score":0.0031240657,"about_ca_system_score_codex":0.0010845715,"about_ca_system_score_gemma":0.00042353838,"threshold_uncertainty_score":0.010451019},"labels":[],"label_agreement":null},{"id":"W2072097451","doi":"10.1090/s0002-9939-2012-11714-9","title":"Unitary 𝑁-dilations for tuples of commuting matrices","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo; National Science Foundation","keywords":"Algorithm; Annotation; Computer science; Tuple; Type (biology); Artificial intelligence; Mathematics; Discrete mathematics; Biology","score_opus":0.04969971054478941,"score_gpt":0.3410249224014996,"score_spread":0.29132521185671023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072097451","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14085734,0.0015303824,0.5838582,0.0024591133,0.00215065,0.00018073896,0.00108248,0.0016045261,0.26627657],"genre_scores_gemma":[0.7932314,0.0009919519,0.1292095,0.0012887644,0.0006981178,0.00035249998,0.00097601453,0.0007611818,0.07249048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974554,0.00048149884,0.00021249132,0.00070059206,0.0006227155,0.00052728807],"domain_scores_gemma":[0.9983392,0.0004905667,0.00020462132,0.00032048553,0.00040784336,0.00023737438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014901195,0.00078160135,0.0006392322,0.0009776005,0.0023606217,0.0033786397,0.00086921296,0.0009973547,0.020800259],"category_scores_gemma":[0.0036447763,0.00057373557,0.001584882,0.00082647614,0.0027050378,0.005669172,0.0032133304,0.0024570976,0.003243596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016207887,0.000008374177,0.000069142065,0.000021816772,0.0000046768137,0.00006209664,0.00022597183,0.00018519953,0.0006234334,0.99280715,0.0017747317,0.00420108],"study_design_scores_gemma":[0.000015707083,0.000033576416,0.00017447854,0.00002238272,0.000009066026,0.00014847607,0.00018577006,0.0030890494,0.0019626385,0.97557515,0.018761275,0.000022343136],"about_ca_topic_score_codex":0.0010463803,"about_ca_topic_score_gemma":0.0011805479,"teacher_disagreement_score":0.020800259,"about_ca_system_score_codex":0.0014512422,"about_ca_system_score_gemma":0.000706616,"threshold_uncertainty_score":0.06958383},"labels":[],"label_agreement":null},{"id":"W2072125260","doi":"10.1090/s0002-9939-07-09172-1","title":"Norming algebras and automatic complete boundedness of isomorphisms of operator algebras","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Waterloo","keywords":"Bounded function; Isomorphism (crystallography); Mathematics; Homomorphism; Operator (biology); Subalgebra; Combinatorics; Operator space; Bounded operator; Algebra over a field; Discrete mathematics; Pure mathematics; Banach space; Finite-rank operator; Mathematical analysis; Crystal structure","score_opus":0.03231925918251334,"score_gpt":0.32331542125427676,"score_spread":0.29099616207176343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072125260","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.117322885,0.0008337565,0.791009,0.0014725847,0.00034329953,0.000081822465,0.00033900986,0.0014943922,0.087103225],"genre_scores_gemma":[0.85326886,0.000688842,0.119880125,0.0006999976,0.00044379287,0.00023841877,0.00075455435,0.00061995484,0.023405401],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9930754,0.0022926866,0.00046866512,0.0012757377,0.0020228259,0.0008647143],"domain_scores_gemma":[0.9909462,0.004193173,0.0005817895,0.0016244556,0.0020058975,0.0006485765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0045092017,0.0007731874,0.0007865379,0.0019055904,0.0022468518,0.003453325,0.0016105206,0.0009874033,0.0069034495],"category_scores_gemma":[0.009922801,0.0006788183,0.002278706,0.0014349102,0.0057472293,0.012715055,0.0056972676,0.0033352044,0.0012622284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016555643,0.000018410277,0.000109767956,0.000025751055,0.0000073080328,0.000051447692,0.00032971942,0.000672822,0.000645696,0.99385047,0.00048094284,0.003791186],"study_design_scores_gemma":[0.0000072483954,0.000012157546,0.00006812638,0.000008303505,0.000004760042,0.000037858565,0.000081807804,0.0038339277,0.0011732959,0.99223095,0.0025286335,0.00001297085],"about_ca_topic_score_codex":0.0022366769,"about_ca_topic_score_gemma":0.001686468,"teacher_disagreement_score":0.0069034495,"about_ca_system_score_codex":0.002165186,"about_ca_system_score_gemma":0.0016204533,"threshold_uncertainty_score":0.023847163},"labels":[],"label_agreement":null},{"id":"W2072464038","doi":"10.1090/s0002-9939-07-08736-9","title":"Burgers equation with random boundary conditions","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Burgers' equation; Mathematics; Inviscid flow; Uniqueness; Mathematical analysis; Convergence (economics); Boundary (topology); Stationary distribution; Uniqueness theorem for Poisson's equation; Partial differential equation; Physics; Classical mechanics; Markov chain; Statistics","score_opus":0.012723115534746967,"score_gpt":0.2532859186238867,"score_spread":0.24056280308913974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072464038","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4019767,0.0011828649,0.56668574,0.0025024002,0.00029506208,0.00012604188,0.00028752664,0.00020275723,0.026741033],"genre_scores_gemma":[0.96511257,0.00066483987,0.019705776,0.00019244615,0.00017383938,0.00017177511,0.00021708113,0.000055275526,0.01370644],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99955565,0.00010852307,0.000025747106,0.00008866404,0.0001449924,0.00007643952],"domain_scores_gemma":[0.9988606,0.00047481808,0.00026450853,0.0000891688,0.0002144414,0.0000965035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088719564,0.0006461753,0.0009500146,0.001076891,0.00069682836,0.0015551961,0.0009842573,0.0017878958,0.0021788254],"category_scores_gemma":[0.0041913968,0.00042835335,0.00054475275,0.0005355477,0.0023781632,0.0021052693,0.0016388858,0.0012470115,0.00044231082],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016558112,0.00010741983,0.0024659636,0.00012730487,0.000054645676,0.0008284013,0.00030305155,0.2114096,0.021462036,0.7500517,0.0019419099,0.011082406],"study_design_scores_gemma":[0.00006393057,0.00006609823,0.00088605523,0.00002503605,0.000023317878,0.00020056068,0.000103903054,0.90747815,0.004666933,0.08484843,0.001597821,0.00003971876],"about_ca_topic_score_codex":0.0023813986,"about_ca_topic_score_gemma":0.000850154,"teacher_disagreement_score":0.0023813986,"about_ca_system_score_codex":0.0007902458,"about_ca_system_score_gemma":0.0006648581,"threshold_uncertainty_score":0.007288873},"labels":[],"label_agreement":null},{"id":"W2072973961","doi":"10.1090/s0002-9939-2013-11763-6","title":"On harmonic non-commutative $L^p$-operators on locally compact quantum groups","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Commutative property; Locally compact space; Pure mathematics; Noncommutative harmonic analysis; Locally compact group; Mathematics; Harmonic; Operator theory; Quantum; Algebra over a field; Physics; Quantum mechanics","score_opus":0.02723343188255994,"score_gpt":0.32296303901176365,"score_spread":0.2957296071292037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072973961","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9165625,0.00062530796,0.056919068,0.0009022968,0.00012587129,0.00003575964,0.000094796866,0.000097353586,0.024637103],"genre_scores_gemma":[0.9826021,0.00032987437,0.0070594014,0.00014152273,0.00019813473,0.000047915873,0.00009776087,0.000043327622,0.009479928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99919873,0.00021618718,0.00003072585,0.0001387791,0.00019802121,0.00021759557],"domain_scores_gemma":[0.9987721,0.00034737986,0.00025402434,0.00009617524,0.00011284675,0.0004174297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010261817,0.0010154543,0.0007699523,0.002067178,0.0019218717,0.0023325367,0.0014489685,0.0012274069,0.0044430695],"category_scores_gemma":[0.0020020467,0.00037992492,0.0008118276,0.0011130632,0.0049971417,0.0036689043,0.0024727266,0.0016824875,0.00055406336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041331594,0.00003341193,0.00026587717,0.000028654196,0.000008239086,0.00016180213,0.0005034515,0.0010116902,0.002344146,0.9935533,0.00024056727,0.001807582],"study_design_scores_gemma":[0.000035596437,0.00011129962,0.0008441038,0.000020383788,0.000010970598,0.00023073278,0.00044308617,0.021376688,0.0014829792,0.97416526,0.0012417466,0.00003716023],"about_ca_topic_score_codex":0.001308063,"about_ca_topic_score_gemma":0.00078059465,"teacher_disagreement_score":0.0044430695,"about_ca_system_score_codex":0.0014307295,"about_ca_system_score_gemma":0.0007949277,"threshold_uncertainty_score":0.01486361},"labels":[],"label_agreement":null},{"id":"W2073164619","doi":"10.1090/s0002-9939-05-08164-5","title":"The amenability constant of the Fourier algebra","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Constant (computer programming); Algebra over a field; Mathematics; Fourier transform; Pure mathematics; Computer science; Mathematical analysis; Programming language","score_opus":0.019539989326485246,"score_gpt":0.3064605040615448,"score_spread":0.28692051473505953,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073164619","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17963447,0.002807839,0.19040659,0.0055787107,0.001118191,0.000056528203,0.0007418201,0.0010760776,0.6185798],"genre_scores_gemma":[0.88256943,0.0010534727,0.016153518,0.000762997,0.0011546914,0.00007872877,0.00043206196,0.00045007232,0.09734509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992662,0.0001348364,0.000026530437,0.00018672005,0.00023735226,0.00014824778],"domain_scores_gemma":[0.99892825,0.00036562586,0.00011148142,0.00017701721,0.0002288718,0.00018870592],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007895416,0.00051878265,0.00060354685,0.0019773159,0.0017481387,0.0028026563,0.0008507322,0.0008540672,0.031084219],"category_scores_gemma":[0.0031099648,0.0002875641,0.00075748994,0.0008703641,0.002590744,0.0051997025,0.0024722305,0.0028040467,0.004645013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013265354,0.000007794404,0.00008743243,0.000021888605,0.000003957749,0.000027792608,0.000093437404,0.0002064124,0.00038768767,0.9929634,0.0016667291,0.0045201997],"study_design_scores_gemma":[0.000006814355,0.000010773329,0.00029766507,0.00001522998,0.0000044711796,0.00010911935,0.0000783501,0.0022792222,0.00056206586,0.98698914,0.0096339835,0.000013230081],"about_ca_topic_score_codex":0.002014532,"about_ca_topic_score_gemma":0.0012318915,"teacher_disagreement_score":0.031084219,"about_ca_system_score_codex":0.0014554794,"about_ca_system_score_gemma":0.0007028874,"threshold_uncertainty_score":0.10398704},"labels":[],"label_agreement":null},{"id":"W2075307325","doi":"10.1090/s0002-9939-2013-11736-3","title":"On the geometry of Gross-Pitaevski vortex curves for generic data","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Isoperimetric inequality; Vortex; Energy functional; Limit (mathematics); Ode; Geometry; Energy (signal processing); Physics; Mathematics; Classical mechanics; Mathematical analysis; Quantum mechanics; Mechanics","score_opus":0.06855620739991464,"score_gpt":0.32558307996676306,"score_spread":0.2570268725668484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075307325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8128115,0.0018285213,0.13653712,0.0029908647,0.00009505555,0.00007687555,0.0007063966,0.00020255517,0.044751145],"genre_scores_gemma":[0.97339976,0.0010178376,0.017690143,0.00020157175,0.00013486762,0.00008274855,0.0004639965,0.0001575692,0.006851433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997118,0.00008863468,0.000017059423,0.00004905092,0.000080167985,0.000053173535],"domain_scores_gemma":[0.998623,0.00043811742,0.00033403278,0.00010627386,0.00021264027,0.00028589898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010543303,0.00065099425,0.00057189725,0.0030237972,0.0011315278,0.002256681,0.0009606512,0.0010394442,0.0031264424],"category_scores_gemma":[0.0050715175,0.00029485364,0.00042915592,0.0011304342,0.0025204085,0.0040238537,0.0018589081,0.0010532602,0.00039287514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013240397,0.000006149235,0.00038954196,0.000025021147,0.0000036301458,0.00010319783,0.0000977378,0.005341369,0.000812601,0.9910631,0.00042704408,0.0017174176],"study_design_scores_gemma":[0.000012015369,0.000020004476,0.0007370811,0.000038410737,0.0000048246748,0.00023794663,0.00011230482,0.05787356,0.0005590974,0.9382204,0.0021670114,0.000017380538],"about_ca_topic_score_codex":0.0011378586,"about_ca_topic_score_gemma":0.0006985668,"teacher_disagreement_score":0.0031264424,"about_ca_system_score_codex":0.0017087075,"about_ca_system_score_gemma":0.0005035028,"threshold_uncertainty_score":0.012397528},"labels":[],"label_agreement":null},{"id":"W2076126465","doi":"10.1090/s0002-9939-2013-11760-0","title":"An uncountable family of copies of a non-chainable tree-like continuum in the plane","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","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":"Nipissing University","funders":"","keywords":"Uncountable set; Annotation; Disjoint sets; Type (biology); Computer science; Tree (set theory); Algorithm; Artificial intelligence; Mathematics; Combinatorics; Countable set; Biology","score_opus":0.013555677663550729,"score_gpt":0.2814856615919814,"score_spread":0.2679299839284307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076126465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.559105,0.0011420808,0.34828198,0.0010449031,0.00009896001,0.0000734584,0.00066936674,0.00079357665,0.08879077],"genre_scores_gemma":[0.8985181,0.00072304334,0.077379785,0.00017687645,0.0000619389,0.00013182442,0.0008377916,0.0002217303,0.021948973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992685,0.0000843488,0.000041633855,0.00023644684,0.00029352235,0.00007548385],"domain_scores_gemma":[0.9989359,0.0003357281,0.00014181338,0.00019149875,0.00020541309,0.00018961802],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044096741,0.00032107913,0.00048716887,0.0014716821,0.0021212073,0.0023860072,0.0010084463,0.00068538095,0.0054018507],"category_scores_gemma":[0.0017396815,0.00050744764,0.00093185384,0.0010371434,0.0025850183,0.004198436,0.0018731162,0.001297119,0.00073448644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050601262,0.000024952069,0.0012249268,0.000055409288,0.000016885555,0.0006815332,0.00047396563,0.0022000025,0.004392019,0.98471326,0.00088712125,0.005279211],"study_design_scores_gemma":[0.00005717275,0.000069235924,0.0030798255,0.00006591133,0.00005008983,0.0021240402,0.0009149875,0.037984718,0.007331458,0.91674626,0.031523928,0.000052190746],"about_ca_topic_score_codex":0.0021355972,"about_ca_topic_score_gemma":0.0016605462,"teacher_disagreement_score":0.0054018507,"about_ca_system_score_codex":0.0016277521,"about_ca_system_score_gemma":0.000470435,"threshold_uncertainty_score":0.018070996},"labels":[],"label_agreement":null},{"id":"W2076668527","doi":"10.1090/s0002-9939-2013-11709-0","title":"A remark on invariant subspaces of positive operators","year":2013,"lang":"fi","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Linear subspace; Invariant (physics); Reflexive operator algebra; Mathematics; Pure mathematics; Algebra over a field; Computer science; Mathematical physics; Programming language","score_opus":0.013999994012808563,"score_gpt":0.25216815127989345,"score_spread":0.23816815726708487,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076668527","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.039086945,0.0035461974,0.43970144,0.011099365,0.00349357,0.000056395536,0.0008552871,0.0012796723,0.50088114],"genre_scores_gemma":[0.7877347,0.0039966423,0.08783135,0.0072485465,0.004582525,0.000256863,0.0010723472,0.0014801214,0.10579692],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99785537,0.0006224836,0.000119275785,0.00048159363,0.0006084936,0.00031280806],"domain_scores_gemma":[0.997629,0.001059357,0.00015114066,0.00037045096,0.00057594484,0.00021416454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002360148,0.000814329,0.000612966,0.0018523212,0.0018758684,0.0028523197,0.0010793816,0.00095134706,0.019977681],"category_scores_gemma":[0.0045117945,0.000318079,0.0016358559,0.0012844054,0.004174726,0.006651577,0.003384163,0.003806848,0.0031465727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010713299,0.000005863902,0.000061531486,0.00003418957,0.000004294695,0.000043679112,0.00015151512,0.00018546147,0.00024188898,0.98867816,0.0051642978,0.005418335],"study_design_scores_gemma":[0.0000068395725,0.000021705606,0.00017018097,0.00001844854,0.0000055122855,0.000102591584,0.0001206606,0.0017334578,0.0004581986,0.97714704,0.020203087,0.00001227956],"about_ca_topic_score_codex":0.001373509,"about_ca_topic_score_gemma":0.0007164921,"teacher_disagreement_score":0.019977681,"about_ca_system_score_codex":0.0009591705,"about_ca_system_score_gemma":0.00064730755,"threshold_uncertainty_score":0.066832006},"labels":[],"label_agreement":null},{"id":"W2078248297","doi":"10.1090/s0002-9939-2011-10988-2","title":"The C*-algebra of a partial isometry","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Lanthanide and Transition Metal Complexes","field":"Materials Science","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; University of Calgary","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Isometry (Riemannian geometry); Mathematics; Semantics (computer science); Algebra over a field; Type (biology); Pure mathematics; Computer science","score_opus":0.025009972661734707,"score_gpt":0.24155837865220814,"score_spread":0.21654840599047342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078248297","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5535806,0.0009913729,0.23594384,0.001386829,0.00045190408,0.00013218498,0.00054088864,0.0008192672,0.20615314],"genre_scores_gemma":[0.9570801,0.00028849707,0.023619112,0.00026222528,0.00017049027,0.00005083469,0.00031661007,0.00016161871,0.018050479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999226,0.00012344924,0.00003860111,0.00018976806,0.00026246725,0.00015974283],"domain_scores_gemma":[0.9995597,0.00006648895,0.000054795477,0.00010125938,0.00012953173,0.0000881855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005966813,0.0005278275,0.00051495706,0.0012761555,0.0015291717,0.0023842177,0.00076382374,0.0006433838,0.008454705],"category_scores_gemma":[0.0013339764,0.00024616008,0.0007340463,0.0008602681,0.003541731,0.0035637484,0.0014483243,0.0013404979,0.0014680981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021085085,0.0000100937605,0.00010962176,0.00002653945,0.0000045600214,0.000058169062,0.00009386717,0.0007021214,0.001446708,0.99257797,0.0007083784,0.0042408425],"study_design_scores_gemma":[0.000010567252,0.00004418105,0.00026027215,0.0000137605975,0.0000067997225,0.00021407932,0.00011651885,0.007945465,0.003783598,0.9806055,0.006973549,0.000025833155],"about_ca_topic_score_codex":0.0015780764,"about_ca_topic_score_gemma":0.0006747362,"teacher_disagreement_score":0.008454705,"about_ca_system_score_codex":0.0010450055,"about_ca_system_score_gemma":0.0011839297,"threshold_uncertainty_score":0.028283834},"labels":[],"label_agreement":null},{"id":"W2078942140","doi":"10.1090/s0002-9939-09-10159-4","title":"An optimal limiting 2𝐷 Sobolev inequality","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; McMaster University","keywords":"Limiting; Mathematics; Inequality; Sobolev space; Pure mathematics; Mathematical analysis","score_opus":0.048917736596210744,"score_gpt":0.3496239133908764,"score_spread":0.30070617679466566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078942140","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.053244147,0.0033214262,0.77634346,0.0065522124,0.0010137068,0.00009342071,0.0005930567,0.00055279175,0.15828577],"genre_scores_gemma":[0.7689019,0.004965492,0.1336525,0.0031696453,0.0014956276,0.00035719335,0.0010368755,0.00087432587,0.08554653],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837214,0.0004551733,0.00007837298,0.00029335584,0.0004800551,0.00032080652],"domain_scores_gemma":[0.9967128,0.0016550696,0.00022294208,0.00026141838,0.0007070201,0.0004408847],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027171685,0.0014033093,0.0009463631,0.0016416587,0.000958716,0.0022482944,0.0014614321,0.0012998043,0.012730615],"category_scores_gemma":[0.010021497,0.00047658695,0.0012572543,0.0007770305,0.0022736422,0.005419837,0.0038710472,0.004155863,0.0019263634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012734332,0.000054061897,0.00058380666,0.00032820468,0.000028993598,0.00029202795,0.00021186424,0.009174405,0.0070513035,0.9443637,0.0071353237,0.030648999],"study_design_scores_gemma":[0.000027603217,0.00012201838,0.00079349335,0.00014350376,0.000033589728,0.00040895698,0.00016956156,0.24546497,0.0067225196,0.72447425,0.021580476,0.000059007387],"about_ca_topic_score_codex":0.0022779559,"about_ca_topic_score_gemma":0.0013191088,"teacher_disagreement_score":0.012730615,"about_ca_system_score_codex":0.002181043,"about_ca_system_score_gemma":0.0011035963,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W2079893785","doi":"10.1090/s0002-9939-2015-12434-3","title":"Primitivity of prime countable-dimensional regular algebras","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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; Generalitat de Catalunya","keywords":"Countable set; Prime (order theory); Mathematics; Pure mathematics; Combinatorics","score_opus":0.04877186759701487,"score_gpt":0.3309893565596223,"score_spread":0.28221748896260745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079893785","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3037027,0.0020125865,0.32051367,0.0038901186,0.00051053904,0.000113207556,0.0013498587,0.0017933489,0.36611405],"genre_scores_gemma":[0.94128305,0.00067162537,0.020597305,0.0007033279,0.00037817785,0.00009109716,0.0005760766,0.00026461136,0.035434835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977852,0.000592175,0.00013958939,0.0005272589,0.00061146636,0.00034417294],"domain_scores_gemma":[0.99663854,0.001406623,0.0002682765,0.0005123299,0.00069932034,0.00047487477],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022129777,0.00062125485,0.00094281265,0.0018602774,0.0023191078,0.0041088713,0.0010137685,0.00069377664,0.009970504],"category_scores_gemma":[0.0048335413,0.00068948074,0.0017840338,0.00076591934,0.003981918,0.0066107064,0.0036086694,0.002007288,0.002251242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024898804,0.000011232984,0.00012934544,0.00003624278,0.000008891982,0.00004967587,0.00014803642,0.00032570885,0.00034524914,0.9962335,0.00083167356,0.0018555738],"study_design_scores_gemma":[0.000012254655,0.000015047559,0.00019975704,0.000015483227,0.000012513028,0.000099401914,0.00009382069,0.0029577496,0.0009483723,0.990862,0.0047679334,0.000015680522],"about_ca_topic_score_codex":0.001597015,"about_ca_topic_score_gemma":0.0013939178,"teacher_disagreement_score":0.009970504,"about_ca_system_score_codex":0.0023237604,"about_ca_system_score_gemma":0.0010603579,"threshold_uncertainty_score":0.0333547},"labels":[],"label_agreement":null},{"id":"W2082690690","doi":"10.1090/s0002-9939-2014-11990-3","title":"Large even order character sums","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; University of Toronto","funders":"","keywords":"Character (mathematics); Mathematics; Order (exchange); Riemann hypothesis; Quadratic equation; Pure mathematics; Combinatorics; Economics","score_opus":0.024865626970664304,"score_gpt":0.31848207568359926,"score_spread":0.29361644871293496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082690690","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89243186,0.00097341463,0.040671118,0.0009968302,0.00015720546,0.000014358928,0.000092749724,0.0002815751,0.06438086],"genre_scores_gemma":[0.9939693,0.00027492357,0.002136912,0.00008875576,0.000118886994,0.00001903333,0.000047371002,0.000039105813,0.0033057944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992611,0.00015502618,0.000025806568,0.00014962991,0.00020859898,0.00019982902],"domain_scores_gemma":[0.9962166,0.0020471867,0.00032871618,0.00046931478,0.0003098064,0.0006283163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088284776,0.00041099018,0.0006115195,0.0016341,0.0015403162,0.0027851106,0.00060247385,0.00067788875,0.0032348328],"category_scores_gemma":[0.0086447215,0.00036956216,0.0004084568,0.00048727784,0.0030334424,0.0046861796,0.0031148307,0.0021126252,0.0003256183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057828904,0.000029034776,0.0017468472,0.00006359851,0.000012219324,0.00031290075,0.0003546164,0.0034064043,0.006853711,0.9805063,0.00093018246,0.005726378],"study_design_scores_gemma":[0.000011897682,0.000030581825,0.0020182591,0.00003799753,0.000018206241,0.000703745,0.00011403757,0.018653603,0.0041703167,0.9711326,0.0030805785,0.000028189772],"about_ca_topic_score_codex":0.00016247948,"about_ca_topic_score_gemma":0.00014425229,"teacher_disagreement_score":0.0032348328,"about_ca_system_score_codex":0.0007566495,"about_ca_system_score_gemma":0.0003141617,"threshold_uncertainty_score":0.010821581},"labels":[],"label_agreement":null},{"id":"W2085270715","doi":"10.1090/s0002-9939-08-08908-9","title":"On the topological centre problem for weighted convolution algebras and semigroup compactifications","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Semigroup; Bounded function; Locally compact space; Combinatorics; Topological group; Factorization; Mathematics; Convolution (computer science); Compactification (mathematics); Compact space; Physics; Algebra over a field; Discrete mathematics; Topology (electrical circuits); Pure mathematics; Mathematical analysis","score_opus":0.04971335671442943,"score_gpt":0.3157507338366272,"score_spread":0.26603737712219777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085270715","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32774928,0.0038515842,0.51766646,0.0071912953,0.000763898,0.00011469333,0.00053438905,0.00078341377,0.14134495],"genre_scores_gemma":[0.9008876,0.0019384478,0.05201987,0.0010501104,0.00098213,0.00017214681,0.0006770524,0.00045931104,0.04181333],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851793,0.00045186083,0.00009014836,0.0002895762,0.00032465218,0.00032588773],"domain_scores_gemma":[0.99515545,0.0027009249,0.00041525112,0.00047017515,0.00051886693,0.00073930214],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035336625,0.0010163859,0.0015932074,0.002227158,0.0027571293,0.004852317,0.0022443463,0.0032017285,0.012903638],"category_scores_gemma":[0.00960785,0.0006368698,0.0021392198,0.0016304656,0.0049588443,0.012058062,0.0057226364,0.004175854,0.0020896131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030877625,0.000011967949,0.00008889682,0.000035080044,0.000006135284,0.000058349073,0.00012353466,0.00061485637,0.00023637687,0.9959991,0.000782667,0.0020121604],"study_design_scores_gemma":[0.000012639352,0.000015448562,0.00008441665,0.000012530997,0.0000073625056,0.00005020522,0.000080603575,0.0067188363,0.0002707363,0.9913976,0.001338698,0.000010781256],"about_ca_topic_score_codex":0.001870294,"about_ca_topic_score_gemma":0.0014749096,"teacher_disagreement_score":0.012903638,"about_ca_system_score_codex":0.0026788916,"about_ca_system_score_gemma":0.00131117,"threshold_uncertainty_score":0.043166935},"labels":[],"label_agreement":null},{"id":"W2085356622","doi":"10.1090/s0002-9939-10-10268-8","title":"Defining the set of integers in expansions of the real field by a closed discrete set","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Multiplicative function; Combinatorics; Field (mathematics); Mathematics; BETA (programming language); Alpha (finance); Set (abstract data type); Discrete mathematics; Mathematical analysis; Pure mathematics; Computer science","score_opus":0.012277939890367972,"score_gpt":0.30948054961499405,"score_spread":0.2972026097246261,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085356622","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030004587,0.0010448028,0.8186692,0.0015788779,0.0013248331,0.00012131564,0.0015029173,0.002134396,0.14361905],"genre_scores_gemma":[0.37819085,0.0012412001,0.5525853,0.001279433,0.0007795833,0.0003992483,0.0023369943,0.0024973697,0.060690083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793565,0.0005410378,0.0001915297,0.0005685745,0.0005289987,0.00023413908],"domain_scores_gemma":[0.99863833,0.0005446299,0.00009491035,0.00020734635,0.00040267766,0.000112107424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018870769,0.00079677015,0.0006018924,0.0017028514,0.0014692128,0.005105168,0.0012747997,0.0008514439,0.010614035],"category_scores_gemma":[0.0030066345,0.0005819252,0.001137352,0.0013422539,0.004184173,0.007872065,0.0024024749,0.0029860283,0.004993044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037782138,0.00001192299,0.000105071565,0.00005180084,0.000003976106,0.00008702925,0.0005554465,0.0002630967,0.0017470159,0.98294836,0.003880971,0.010307478],"study_design_scores_gemma":[0.000060842776,0.00006346838,0.00030913425,0.00009191148,0.000022024115,0.00047607053,0.00085098884,0.0041984622,0.007084433,0.7140811,0.2727045,0.000056966583],"about_ca_topic_score_codex":0.0024589228,"about_ca_topic_score_gemma":0.0021683439,"teacher_disagreement_score":0.010614035,"about_ca_system_score_codex":0.0020083885,"about_ca_system_score_gemma":0.00094630045,"threshold_uncertainty_score":0.0355075},"labels":[],"label_agreement":null},{"id":"W2087249346","doi":"10.1090/s0002-9939-06-08240-2","title":"Double logarithmic inequality with a sharp constant","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":56,"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; McMaster University; National Science Foundation","keywords":"Constant (computer programming); Logarithm; Inequality; Mathematics; Log sum inequality; Mathematical analysis; Type (biology); Computer science","score_opus":0.02657061347918615,"score_gpt":0.2909650795764222,"score_spread":0.26439446609723605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087249346","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.103566356,0.017212654,0.56257594,0.028734785,0.004280782,0.000143411,0.0010102786,0.0013683761,0.28110746],"genre_scores_gemma":[0.8813598,0.00640082,0.04651982,0.009227762,0.0035724065,0.00033479146,0.00047566762,0.0005546081,0.05155431],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829596,0.00030661502,0.000076956116,0.00036548855,0.0005835168,0.00037145312],"domain_scores_gemma":[0.991299,0.0047890726,0.0007106735,0.0009762695,0.0013146128,0.00091032777],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002637095,0.0020324024,0.0011794441,0.0038425361,0.0014930534,0.0037398075,0.0019254404,0.0023933814,0.01462827],"category_scores_gemma":[0.014238265,0.00077189546,0.0017075731,0.00180414,0.004102611,0.008674005,0.0067201396,0.007866247,0.003172989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002719447,0.000084987914,0.0016266133,0.0005285912,0.00006585005,0.00075839617,0.00024930452,0.0031164526,0.011845043,0.9400535,0.014612566,0.026786754],"study_design_scores_gemma":[0.000079024016,0.00015681607,0.0024734626,0.0002564212,0.00012441924,0.0018713227,0.00016980489,0.052997604,0.01114539,0.8984963,0.032108687,0.00012073521],"about_ca_topic_score_codex":0.00075024535,"about_ca_topic_score_gemma":0.00051543297,"teacher_disagreement_score":0.01462827,"about_ca_system_score_codex":0.0023862987,"about_ca_system_score_gemma":0.00088764046,"threshold_uncertainty_score":0.048936427},"labels":[],"label_agreement":null},{"id":"W2087519141","doi":"10.1090/s0002-9939-2014-12319-7","title":"The determinant on flat conic surfaces with excision of disks","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Université de Montréal","funders":"Achievement Rewards for College Scientists Foundation","keywords":"Mathematics; Gravitational singularity; Moduli space; Conical surface; Conic section; Genus; Boundary (topology); Pure mathematics; Compact space; Surface (topology); Mathematical analysis; Space (punctuation); Geometry","score_opus":0.015095622080516099,"score_gpt":0.26732402713020154,"score_spread":0.2522284050496854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087519141","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95997566,0.0005655454,0.021979282,0.00046538428,0.000050872204,0.000012780144,0.000047935075,0.00011582916,0.016786732],"genre_scores_gemma":[0.9946925,0.0003052115,0.002068962,0.000053207117,0.000043096945,0.000008580506,0.00006729821,0.000032868735,0.0027283423],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997602,0.000041667852,0.0000150935575,0.000041348558,0.00007288831,0.000068641435],"domain_scores_gemma":[0.9991954,0.00024234466,0.000119007316,0.000077822515,0.00014999525,0.00021544757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004818844,0.00045689545,0.0004675916,0.0022525203,0.0009309035,0.001555085,0.0007550454,0.0008046742,0.0017675944],"category_scores_gemma":[0.0033841725,0.00031713973,0.0003826166,0.0005909258,0.0021157889,0.0018118316,0.0014621504,0.00074234867,0.00026524445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009528827,0.000053081396,0.0030103377,0.00006801981,0.000014468255,0.0010306813,0.0008957755,0.010415476,0.012449903,0.9629325,0.0010273512,0.008007122],"study_design_scores_gemma":[0.000045603472,0.00008799358,0.008297648,0.000053280888,0.00002838611,0.0017904912,0.00076603336,0.18008909,0.0061931117,0.7993111,0.0032681194,0.000069141555],"about_ca_topic_score_codex":0.0023620552,"about_ca_topic_score_gemma":0.0010810632,"teacher_disagreement_score":0.0023620552,"about_ca_system_score_codex":0.0013588339,"about_ca_system_score_gemma":0.00045378486,"threshold_uncertainty_score":0.009859085},"labels":[],"label_agreement":null},{"id":"W2088673438","doi":"10.1090/s0002-9939-08-09673-1","title":"Invariant subspaces of super left-commutants","year":2008,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","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 Alberta","funders":"","keywords":"Linear subspace; Invariant (physics); Mathematics; Pure mathematics; Physics; Mathematical physics","score_opus":0.0335496551465181,"score_gpt":0.28558994424681644,"score_spread":0.25204028910029835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088673438","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22067542,0.0010057472,0.343255,0.0020335994,0.00095935113,0.00008002766,0.00080570916,0.0011836783,0.43000144],"genre_scores_gemma":[0.8638648,0.0005448453,0.039268,0.00081172195,0.000739749,0.00013428846,0.00067971216,0.0006114747,0.09334545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987948,0.00025180026,0.00006210967,0.00027528466,0.00036985322,0.0002461095],"domain_scores_gemma":[0.99914587,0.0001767241,0.00010944873,0.000120220706,0.0002717159,0.00017603814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010051079,0.00074415264,0.00046707952,0.001664711,0.0013811706,0.0022844165,0.00061711273,0.0004473455,0.018196126],"category_scores_gemma":[0.001244921,0.00030130442,0.0009490914,0.0006983032,0.0025549824,0.0033532018,0.0017328061,0.0015884943,0.0030292298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014388322,0.000010834701,0.00007579514,0.000015453827,0.0000047505923,0.0000398636,0.00014052773,0.00021134937,0.0006848196,0.99419194,0.0013014935,0.0033088864],"study_design_scores_gemma":[0.000010772026,0.000029637755,0.00023829543,0.000011497258,0.0000047667054,0.00009908284,0.0001655309,0.0044398587,0.0013230898,0.9845206,0.009142323,0.000014430339],"about_ca_topic_score_codex":0.0011769319,"about_ca_topic_score_gemma":0.0011190062,"teacher_disagreement_score":0.018196126,"about_ca_system_score_codex":0.0013536414,"about_ca_system_score_gemma":0.0007622597,"threshold_uncertainty_score":0.060872138},"labels":[],"label_agreement":null},{"id":"W2089487135","doi":"10.1090/s0002-9939-09-10126-0","title":"An automata theoretic approach to the generalized word problem in graphs of groups","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","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":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Quasiconvex function; Mathematics; Chordal graph; Combinatorics; Word problem (mathematics education); Decidability; Vertex (graph theory); Discrete mathematics; Graph; Regular polygon; Arithmetic","score_opus":0.009655529450554501,"score_gpt":0.23989920257874073,"score_spread":0.23024367312818622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089487135","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05249156,0.0007872816,0.9080533,0.0071359873,0.0008396352,0.00018595454,0.00057983614,0.0009418654,0.028984563],"genre_scores_gemma":[0.7253216,0.0014504631,0.24694005,0.0041249767,0.001844021,0.000734677,0.0013145648,0.00057130714,0.017698355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973463,0.00066504796,0.000242524,0.00083132234,0.0005534347,0.00036132385],"domain_scores_gemma":[0.9910903,0.0059398985,0.00036525298,0.0014447421,0.00081510504,0.00034467998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025386924,0.0010679227,0.0011483014,0.0018393472,0.0028232115,0.0040653646,0.0032392808,0.0025602293,0.007711934],"category_scores_gemma":[0.00783418,0.0007208405,0.0042254035,0.0017990934,0.008376642,0.015607886,0.006812127,0.007624746,0.00089411973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000152917,0.000017050375,0.00018835295,0.000059882794,0.000014727696,0.00011882285,0.00033327553,0.0024530247,0.0006387503,0.9907064,0.0011640704,0.0042904983],"study_design_scores_gemma":[0.000009654799,0.000009744043,0.000042118423,0.000009991189,0.000011171878,0.00004694896,0.00006227704,0.008134853,0.0004899202,0.9890119,0.0021604733,0.000010965882],"about_ca_topic_score_codex":0.003122345,"about_ca_topic_score_gemma":0.003051671,"teacher_disagreement_score":0.007711934,"about_ca_system_score_codex":0.0024967217,"about_ca_system_score_gemma":0.0019333572,"threshold_uncertainty_score":0.025799036},"labels":[],"label_agreement":null},{"id":"W2089725805","doi":"10.1090/s0002-9939-2011-11351-0","title":"On stable entire solutions of semi-linear elliptic equations with weights","year":2011,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mathematical analysis; Applied mathematics","score_opus":0.052196059220345786,"score_gpt":0.2593748849022527,"score_spread":0.2071788256819069,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089725805","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6298113,0.0022803931,0.27472135,0.0031025873,0.00045132346,0.0001649417,0.00031584277,0.00025797653,0.08889422],"genre_scores_gemma":[0.9023442,0.0026396313,0.02753608,0.0003852302,0.0005352402,0.00023415426,0.00045302857,0.00027383605,0.06559855],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995982,0.00012218504,0.000026216805,0.000056287587,0.000105585634,0.00009154693],"domain_scores_gemma":[0.9981329,0.00076568505,0.00029850245,0.000091025,0.0003772475,0.00033452825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011545785,0.0016775014,0.0007540732,0.002157843,0.001340563,0.0021929229,0.000980634,0.0010350854,0.006266166],"category_scores_gemma":[0.0059814416,0.00054338574,0.0011581398,0.0008903205,0.0025520131,0.003204531,0.0030535124,0.0017366037,0.0009191726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013922484,0.00004687794,0.0008527771,0.0001600959,0.000047087993,0.00028781997,0.0005526077,0.014099212,0.006798368,0.96567464,0.0016273084,0.009713993],"study_design_scores_gemma":[0.000053280244,0.0001328741,0.0009137614,0.00013344263,0.000034078614,0.0002126084,0.00045654053,0.19112822,0.0024430668,0.8009061,0.0035336907,0.00005235146],"about_ca_topic_score_codex":0.0016588223,"about_ca_topic_score_gemma":0.001231512,"teacher_disagreement_score":0.006266166,"about_ca_system_score_codex":0.001246058,"about_ca_system_score_gemma":0.00097014883,"threshold_uncertainty_score":0.020962477},"labels":[],"label_agreement":null},{"id":"W2090111002","doi":"10.1090/s0002-9939-07-08759-x","title":"Maharam algebras and Cohen reals","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Corollary; Forcing (mathematics); Product (mathematics); Mathematics; Real number; Algebra over a field; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.018679546999688466,"score_gpt":0.3114558741459526,"score_spread":0.2927763271462641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090111002","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3705807,0.003962244,0.37523797,0.0039612786,0.0010245997,0.0001030296,0.0002209524,0.0006030358,0.24430612],"genre_scores_gemma":[0.9257879,0.0011011446,0.046037953,0.00052356144,0.0005403026,0.000101321195,0.00011073552,0.000065272114,0.025731765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99837494,0.0004565569,0.00008822212,0.00023488057,0.0006217371,0.0002236248],"domain_scores_gemma":[0.9973671,0.0010272426,0.00038930806,0.00032921444,0.000563504,0.00032376507],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021656281,0.0005599735,0.00047628814,0.0015317335,0.0015307203,0.0025239666,0.00073898997,0.0008683768,0.010529877],"category_scores_gemma":[0.003241394,0.00034825547,0.00076801295,0.0009503691,0.003484224,0.006239239,0.0047585657,0.0019700038,0.0014276752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014136813,0.0000067154565,0.00012060261,0.000028410786,0.000004175679,0.0000612521,0.00020569561,0.00012254716,0.0013939082,0.9957735,0.00026035315,0.002008597],"study_design_scores_gemma":[0.000011430627,0.000052467578,0.00037946162,0.00002512129,0.000015210828,0.0002988824,0.00024509078,0.0017834799,0.002563387,0.97395986,0.020645749,0.000019984154],"about_ca_topic_score_codex":0.00034461328,"about_ca_topic_score_gemma":0.00045553644,"teacher_disagreement_score":0.010529877,"about_ca_system_score_codex":0.0008790282,"about_ca_system_score_gemma":0.0005819671,"threshold_uncertainty_score":0.035225928},"labels":[],"label_agreement":null},{"id":"W2090115063","doi":"10.1090/s0002-9939-2010-10543-9","title":"A strengthening and a multipartite generalization of the Alon-Boppana-Serre theorem","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Multipartite; Vertex (graph theory); Bounded function; Eigenvalues and eigenvectors; Degree (music); Mathematical proof; Graph; Generalization","score_opus":0.01224536013766228,"score_gpt":0.2638609149420292,"score_spread":0.2516155548043669,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090115063","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03504946,0.0021036048,0.5620961,0.011141055,0.002769195,0.00022244785,0.0013692125,0.0022339069,0.38301495],"genre_scores_gemma":[0.6544635,0.0029569843,0.1974253,0.01788313,0.004950572,0.0008675239,0.0027912804,0.005133896,0.11352776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9890125,0.0033997917,0.00056621217,0.0034132071,0.0019003692,0.0017079673],"domain_scores_gemma":[0.9787597,0.009694947,0.0008867068,0.0059366296,0.0036740957,0.0010479238],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008834398,0.002292907,0.0029046626,0.0032772692,0.0062710047,0.005892999,0.0042321016,0.0038217125,0.039039847],"category_scores_gemma":[0.029239312,0.0019999319,0.007935881,0.0023296524,0.008701182,0.023660868,0.012404633,0.009533704,0.012502009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007142014,0.000032229727,0.00018010258,0.00011605541,0.000037800983,0.000116844465,0.00024756484,0.00079425477,0.0006068923,0.98129785,0.010133666,0.00636524],"study_design_scores_gemma":[0.000027993685,0.000025896543,0.00017825572,0.000044613127,0.000034864694,0.00017955135,0.0000819474,0.0037539783,0.0007761388,0.9801257,0.014738749,0.000032293006],"about_ca_topic_score_codex":0.0032986153,"about_ca_topic_score_gemma":0.0030077,"teacher_disagreement_score":0.039039847,"about_ca_system_score_codex":0.002949034,"about_ca_system_score_gemma":0.0020351831,"threshold_uncertainty_score":0.13060129},"labels":[],"label_agreement":null},{"id":"W2090701714","doi":"10.1090/s0002-9939-2015-12563-4","title":"Multiplicatively collapsing and rewritable algebras","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Computer science; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.04854270085760122,"score_gpt":0.32071278074767845,"score_spread":0.27217007989007724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090701714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6313016,0.0008573561,0.30757034,0.0004982873,0.00018523297,0.00012984285,0.00023064238,0.0004541735,0.058772605],"genre_scores_gemma":[0.9521289,0.0002688602,0.03501416,0.00012323787,0.00017195224,0.00007872457,0.00019452232,0.000052721633,0.011966767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99722606,0.0005186403,0.000298954,0.0006480825,0.0009217516,0.00038637008],"domain_scores_gemma":[0.9972791,0.000686546,0.0004322307,0.00061138126,0.0007047768,0.00028603067],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014663838,0.00041652765,0.0003828609,0.000820654,0.0012502475,0.0015647575,0.0007167479,0.00037614434,0.0026601623],"category_scores_gemma":[0.0036514024,0.00034359418,0.00080485444,0.0005540224,0.0029453728,0.0029821894,0.0019028309,0.0011011091,0.00047597112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063308275,0.00003825907,0.0007503686,0.00006182228,0.00001855344,0.0005380726,0.0016564876,0.0023081447,0.011497782,0.97166115,0.0003576278,0.011048423],"study_design_scores_gemma":[0.00003951426,0.000114611015,0.0009073497,0.00003324586,0.000037772432,0.00084750383,0.0008184095,0.0133914845,0.02549924,0.94184536,0.016410118,0.000055482815],"about_ca_topic_score_codex":0.00089629216,"about_ca_topic_score_gemma":0.0006115131,"teacher_disagreement_score":0.0026601623,"about_ca_system_score_codex":0.00081324106,"about_ca_system_score_gemma":0.0009052835,"threshold_uncertainty_score":0.008899093},"labels":[],"label_agreement":null},{"id":"W2091969006","doi":"10.1090/s0002-9939-2014-12086-7","title":"Uniform bounds for preperiodic points in families of twists","year":2014,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"Mathematics; Computer science","score_opus":0.01084257589220356,"score_gpt":0.24179539625045177,"score_spread":0.2309528203582482,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091969006","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23161706,0.0015543901,0.564858,0.0011885033,0.00067210995,0.000101703234,0.0013875482,0.002023488,0.19659723],"genre_scores_gemma":[0.84926695,0.0010962406,0.077213585,0.00039670386,0.0005039887,0.00025087036,0.001632316,0.0016038034,0.06803559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969908,0.0004920561,0.00020349587,0.0007518012,0.0007995703,0.00076218153],"domain_scores_gemma":[0.9941713,0.0025646198,0.00056544016,0.0009798876,0.0011039058,0.0006147687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023481648,0.0012353531,0.00097336795,0.004581867,0.003048584,0.004913529,0.0019333151,0.0018543784,0.03309829],"category_scores_gemma":[0.010530379,0.0009990799,0.0016107415,0.002375687,0.0030828244,0.010236512,0.005243834,0.0033588507,0.0059645423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001229268,0.00001976746,0.00053915574,0.000081199374,0.000012905397,0.00015391398,0.00042595327,0.001426524,0.000882759,0.980923,0.002401094,0.013010804],"study_design_scores_gemma":[0.000027931934,0.000065409244,0.00081820023,0.00011724431,0.000035491074,0.00018497702,0.00043767944,0.007672647,0.002730206,0.9698998,0.017967487,0.0000428905],"about_ca_topic_score_codex":0.0018223209,"about_ca_topic_score_gemma":0.0022059726,"teacher_disagreement_score":0.03309829,"about_ca_system_score_codex":0.0032417576,"about_ca_system_score_gemma":0.0006418197,"threshold_uncertainty_score":0.11072481},"labels":[],"label_agreement":null},{"id":"W2092999390","doi":"10.1090/s0002-9939-2011-11028-1","title":"ℵ₀-categorical strongly minimal compact complex manifolds","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","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":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Alexander von Humboldt-Stiftung","keywords":"Categorical variable; Mathematics; Pure mathematics; Topology (electrical circuits); Combinatorics; Statistics","score_opus":0.06282525156104303,"score_gpt":0.29137862665261466,"score_spread":0.22855337509157164,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2092999390","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33808962,0.0018796793,0.1348002,0.004468736,0.0004704823,0.000080787424,0.0021938079,0.0014832385,0.51653343],"genre_scores_gemma":[0.90923643,0.0005752126,0.016440151,0.0004749106,0.00022127831,0.000074725496,0.0018914118,0.00029934756,0.07078645],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992888,0.0001300708,0.000040163384,0.00017969689,0.0002598536,0.000101505604],"domain_scores_gemma":[0.99910766,0.00021323602,0.00008310633,0.00012498148,0.00031677893,0.00015417047],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054144906,0.000541607,0.00045305656,0.0014160244,0.0014355123,0.0030008957,0.0005759285,0.0005749317,0.011403778],"category_scores_gemma":[0.0013020998,0.000270114,0.00054379716,0.00084771396,0.0019830575,0.0036372775,0.0025602388,0.0012276155,0.0019736588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017243345,0.0000062385893,0.00018506618,0.000025760151,0.0000049338787,0.000040769035,0.00024696314,0.00035850704,0.0006679744,0.9924395,0.0025664398,0.0034405238],"study_design_scores_gemma":[0.000013188722,0.000022764933,0.00090273033,0.000019516909,0.000009252437,0.00013150409,0.0004408496,0.0036093357,0.0011525953,0.9603712,0.033311427,0.000015514908],"about_ca_topic_score_codex":0.0018511553,"about_ca_topic_score_gemma":0.0016293064,"teacher_disagreement_score":0.011403778,"about_ca_system_score_codex":0.0020567833,"about_ca_system_score_gemma":0.00049274566,"threshold_uncertainty_score":0.038149416},"labels":[],"label_agreement":null},{"id":"W2093343516","doi":"10.1090/s0002-9939-2013-11974-x","title":"Quotients of Fourier algebras, and representations which are not completely bounded","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Operator space; Hilbert space; Abelian group; Quotient; Operator algebra; Operator (biology); Upper and lower bounds; Class (philosophy); Bounded operator","score_opus":0.042494915405871844,"score_gpt":0.33051224313892225,"score_spread":0.2880173277330504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093343516","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5425479,0.0017426745,0.22393192,0.0024196496,0.00061190117,0.00008150349,0.00073814014,0.0011743953,0.22675186],"genre_scores_gemma":[0.95553625,0.00035395238,0.013282579,0.00028825068,0.00024755544,0.000055125576,0.0004123387,0.00020666857,0.029617295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985495,0.00031350096,0.000083309715,0.00028577299,0.0004520268,0.00031591786],"domain_scores_gemma":[0.9984024,0.0005652486,0.0001950371,0.00036830342,0.00023664215,0.00023236405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011609895,0.00056534546,0.00059057365,0.0014878262,0.0013226003,0.0026833545,0.0007400139,0.0006846619,0.012426319],"category_scores_gemma":[0.0049022664,0.00036405917,0.0010118276,0.00091358554,0.0036667944,0.0068541146,0.0024808755,0.0018504595,0.0015631454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021236336,0.0000118029275,0.00012278494,0.000019126714,0.0000042389065,0.000056714864,0.00024434002,0.00026663413,0.00051290233,0.99468625,0.0006668498,0.00338716],"study_design_scores_gemma":[0.000013002901,0.00001621809,0.00023222051,0.0000104090195,0.0000041646576,0.000118519114,0.00016943357,0.0026306356,0.00059043337,0.9934977,0.0027044686,0.000012688904],"about_ca_topic_score_codex":0.0014074771,"about_ca_topic_score_gemma":0.0009698965,"teacher_disagreement_score":0.012426319,"about_ca_system_score_codex":0.001143546,"about_ca_system_score_gemma":0.00067807286,"threshold_uncertainty_score":0.041570187},"labels":[],"label_agreement":null},{"id":"W2094960014","doi":"10.1090/s0002-9939-2011-10968-7","title":"Construction of central units in integral group rings of finite groups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Vrije Universiteit Brussel","keywords":"Annotation; Algorithm; Abelian group; Semantics (computer science); Type (biology); Group (periodic table); Computer science; Artificial intelligence; Mathematics; Combinatorics; Physics; Biology; Programming language; Quantum mechanics","score_opus":0.05867120873526117,"score_gpt":0.28574214979658563,"score_spread":0.22707094106132447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094960014","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34196833,0.0024215921,0.5247908,0.000997557,0.0013292357,0.00026489256,0.00031337567,0.0025307979,0.12538335],"genre_scores_gemma":[0.8703196,0.0005048367,0.09832454,0.00023721355,0.00029792552,0.00015299789,0.00023141968,0.0006007226,0.029330727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874747,0.0003325632,0.00007562747,0.0002097714,0.00032381515,0.00031071433],"domain_scores_gemma":[0.99907255,0.00022570381,0.00010288564,0.00022060283,0.0001606641,0.00021754569],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001240099,0.00068527315,0.00075180875,0.001373144,0.001938325,0.0028003864,0.0013111907,0.0006943773,0.009051426],"category_scores_gemma":[0.0019725347,0.0004770781,0.0010173876,0.0007582447,0.003657079,0.00457921,0.0039466494,0.002376052,0.0026088483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000759884,0.000038625123,0.00029717232,0.000069946196,0.000013949792,0.00023802457,0.00095072645,0.0004042202,0.0045995438,0.9779995,0.0012255617,0.014086709],"study_design_scores_gemma":[0.00009890891,0.00021024197,0.0006499029,0.00006119172,0.00006259011,0.0008622099,0.0010497296,0.005963147,0.047303792,0.88789666,0.055760168,0.00008148697],"about_ca_topic_score_codex":0.00033614892,"about_ca_topic_score_gemma":0.00033334646,"teacher_disagreement_score":0.009051426,"about_ca_system_score_codex":0.0009972688,"about_ca_system_score_gemma":0.0005196787,"threshold_uncertainty_score":0.030279994},"labels":[],"label_agreement":null},{"id":"W2096624591","doi":"10.1090/s0002-9939-02-06761-8","title":"A characterization of quasiconvex vector-valued functions","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":47,"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","keywords":"Quasiconvex function; Characterization (materials science); Mathematics; Regular polygon; Banach space; Cone (formal languages); Pure mathematics; Convex cone; Scalar (mathematics); Euclidean space; Space (punctuation); Mathematical analysis; Geometry; Subderivative; Convex optimization; Physics; Computer science; Algorithm","score_opus":0.014963326202238605,"score_gpt":0.22082380287450168,"score_spread":0.20586047667226307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096624591","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16778597,0.0014275302,0.79008037,0.0016586127,0.00018507,0.000074884876,0.0007159146,0.00025834038,0.037813324],"genre_scores_gemma":[0.892946,0.0021090037,0.07326857,0.0005043453,0.0004919101,0.00016530059,0.0012298502,0.00036978658,0.028915308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984628,0.0005511897,0.000089786125,0.00030740327,0.00041428127,0.00017452266],"domain_scores_gemma":[0.99599934,0.0015496413,0.00054299046,0.00022335944,0.0012835325,0.00040125102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001970207,0.001153643,0.00067404535,0.0020385454,0.0007129972,0.0025779917,0.0006889642,0.00071067986,0.0042663785],"category_scores_gemma":[0.005085805,0.000410817,0.0008972432,0.0012173506,0.0026361032,0.00439697,0.0015664255,0.002087993,0.00079213665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043206936,0.000020951555,0.0007825912,0.0001167588,0.000020920766,0.00017330045,0.00029554163,0.009773332,0.0052182325,0.97360283,0.001600267,0.008352067],"study_design_scores_gemma":[0.000016040658,0.00023525648,0.0029488716,0.00011414373,0.0000411819,0.0006289117,0.0005821738,0.24182408,0.0068226918,0.725445,0.021259438,0.00008234647],"about_ca_topic_score_codex":0.0015122108,"about_ca_topic_score_gemma":0.00084858434,"teacher_disagreement_score":0.0042663785,"about_ca_system_score_codex":0.0017700132,"about_ca_system_score_gemma":0.0008875812,"threshold_uncertainty_score":0.014272451},"labels":[],"label_agreement":null},{"id":"W2099060864","doi":"10.1090/s0002-9939-07-08841-7","title":"Sequentially Cohen-Macaulay edge ideals","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":137,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Chordal graph; Ideal (ethics); Undirected graph; Enhanced Data Rates for GSM Evolution; Graph; Simple (philosophy); Dual (grammatical number); Discrete mathematics; Computer science","score_opus":0.030287689652866122,"score_gpt":0.3315819772331097,"score_spread":0.3012942875802436,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099060864","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11549194,0.0016510991,0.31501552,0.004814899,0.0010180778,0.00022427455,0.0027667324,0.0018739083,0.5571435],"genre_scores_gemma":[0.7329577,0.0013959456,0.0896501,0.001511635,0.0007445948,0.00040815253,0.003015829,0.00087321264,0.16944276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973138,0.00063773576,0.00014508847,0.00062199467,0.0007883087,0.00049302826],"domain_scores_gemma":[0.99585646,0.0014283817,0.00025815918,0.00048599768,0.0015845266,0.0003864795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021036693,0.00089765445,0.0009846906,0.001640173,0.0025716557,0.0035498482,0.001188682,0.0008904079,0.022483002],"category_scores_gemma":[0.005027018,0.00058276416,0.001486817,0.0013081701,0.0026313572,0.0068347217,0.0033225715,0.0027873882,0.006169945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004917121,0.00002143776,0.00012413124,0.00006793326,0.0000105501385,0.00006218373,0.00026437905,0.00046010278,0.0006344661,0.98820835,0.0043108445,0.00578649],"study_design_scores_gemma":[0.000028833796,0.000021889851,0.00017691501,0.000021511672,0.000011002531,0.0000815332,0.00015687873,0.002427658,0.0012732166,0.9768192,0.018963972,0.000017350532],"about_ca_topic_score_codex":0.0019161042,"about_ca_topic_score_gemma":0.0026395405,"teacher_disagreement_score":0.022483002,"about_ca_system_score_codex":0.0026553192,"about_ca_system_score_gemma":0.0014988375,"threshold_uncertainty_score":0.075213075},"labels":[],"label_agreement":null},{"id":"W2099200243","doi":"10.1090/s0002-9939-04-07413-1","title":"On simultaneous linear extensions of partial (pseudo)metrics","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; University of Saskatchewan","keywords":"Metrization theorem; Extension (predicate logic); Mathematics; Linear operators; Linear extension; Pure mathematics; Space (punctuation); Discrete mathematics; Mathematical analysis; Computer science; Partially ordered set","score_opus":0.02194079207228719,"score_gpt":0.3063914966614041,"score_spread":0.2844507045891169,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099200243","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6910681,0.0014704338,0.2703952,0.0013039116,0.00013182027,0.000059560487,0.00012764912,0.00013175466,0.03531151],"genre_scores_gemma":[0.9706938,0.0006920784,0.020777654,0.00014445125,0.00017221937,0.00008251529,0.000106159176,0.000039730458,0.0072913757],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986253,0.00041212523,0.00008828701,0.0003238543,0.00035174223,0.0001986435],"domain_scores_gemma":[0.9971347,0.0012200619,0.00045347383,0.00026100333,0.00045141307,0.00047932524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002076715,0.0007398655,0.00054046366,0.0011706861,0.0009624,0.002046431,0.0007887254,0.0010316657,0.002131148],"category_scores_gemma":[0.004737214,0.0003879272,0.000955482,0.0010030704,0.002675309,0.006984448,0.004837984,0.0015066061,0.00024469243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044951106,0.000026989588,0.000654884,0.000073638825,0.000017205435,0.0004804972,0.0005660075,0.0027427063,0.005040122,0.98343635,0.00027326503,0.0066433465],"study_design_scores_gemma":[0.000023386516,0.0001750598,0.0010734579,0.000038694914,0.000020605938,0.00082269835,0.00060391973,0.023575954,0.002521603,0.9665335,0.0045805457,0.000030651154],"about_ca_topic_score_codex":0.00027895576,"about_ca_topic_score_gemma":0.00025858983,"teacher_disagreement_score":0.002131148,"about_ca_system_score_codex":0.0006305838,"about_ca_system_score_gemma":0.0003437854,"threshold_uncertainty_score":0.010982871},"labels":[],"label_agreement":null},{"id":"W2101352726","doi":"10.1090/s0002-9939-2015-12547-6","title":"Arc-quasianalytic functions","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Environmental science; Geology","score_opus":0.04770523391975239,"score_gpt":0.29912524847737704,"score_spread":0.25142001455762464,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101352726","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03593289,0.0021716014,0.6878641,0.0048926924,0.0013130707,0.00010436529,0.0009418459,0.0025638016,0.26421565],"genre_scores_gemma":[0.63234484,0.0030533434,0.18932633,0.002334269,0.0015395203,0.00026508726,0.0012454017,0.0027180682,0.16717318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972242,0.00058973435,0.00018287227,0.00077719154,0.0008126521,0.00041339977],"domain_scores_gemma":[0.99635255,0.0012469131,0.0002757726,0.0008786789,0.0009407118,0.00030539482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026326568,0.0013803272,0.00077694166,0.0030616464,0.0023153576,0.0054815775,0.0018549071,0.0014826583,0.028579291],"category_scores_gemma":[0.006979962,0.00077118597,0.0021984493,0.0020608609,0.004646479,0.013744635,0.004950818,0.00453249,0.0077200127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021479953,0.000010835216,0.00015514316,0.000052529496,0.000007101261,0.0000527453,0.00018756863,0.0004951425,0.00028955328,0.98401386,0.0034734383,0.011240587],"study_design_scores_gemma":[0.000012061874,0.00002383898,0.0001367601,0.000038627604,0.000018296223,0.00021713083,0.0001951398,0.0051807305,0.0014695794,0.9229787,0.06970602,0.000023106018],"about_ca_topic_score_codex":0.002367045,"about_ca_topic_score_gemma":0.0012479448,"teacher_disagreement_score":0.028579291,"about_ca_system_score_codex":0.0031778822,"about_ca_system_score_gemma":0.0010803188,"threshold_uncertainty_score":0.09560728},"labels":[],"label_agreement":null},{"id":"W2102041446","doi":"10.1090/s0002-9939-08-09737-2","title":"Transcendence of power series for some number theoretic functions","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Transcendence (philosophy); Series (stratigraphy); Power (physics); Power series; Mathematics; Philosophy; Mathematical analysis; Epistemology; Physics; Geology","score_opus":0.010890729639968401,"score_gpt":0.23246953181101346,"score_spread":0.22157880217104506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102041446","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10838041,0.003556531,0.51823825,0.003702258,0.0016857543,0.000059038706,0.00032821778,0.0007629178,0.3632866],"genre_scores_gemma":[0.84866786,0.0037673197,0.06346195,0.0011603103,0.001961501,0.00012739781,0.00031893462,0.00060017005,0.07993468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993304,0.00014494771,0.000031914784,0.0001485551,0.00024278318,0.00010138919],"domain_scores_gemma":[0.9986853,0.0006663827,0.000080299724,0.00014729067,0.0003249851,0.000095731506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010636309,0.0009553258,0.00060197845,0.0024285826,0.000831367,0.002201818,0.0006433336,0.0005023836,0.012232843],"category_scores_gemma":[0.003838206,0.00024858513,0.001224939,0.0011945633,0.002561185,0.0046008397,0.0016596982,0.003133842,0.0029096706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012312436,0.000007733283,0.000058261623,0.000036159046,0.0000045734105,0.000076740136,0.00016580596,0.00045421542,0.00077562424,0.9880505,0.0011875349,0.009170413],"study_design_scores_gemma":[0.000008558249,0.000020724014,0.0001422974,0.000021461477,0.0000079095325,0.00019074394,0.000056457084,0.0044271457,0.0017250646,0.9718364,0.021551648,0.000011540108],"about_ca_topic_score_codex":0.0006252701,"about_ca_topic_score_gemma":0.00037035818,"teacher_disagreement_score":0.012232843,"about_ca_system_score_codex":0.0012730015,"about_ca_system_score_gemma":0.00041857077,"threshold_uncertainty_score":0.04092294},"labels":[],"label_agreement":null},{"id":"W2103017727","doi":"10.1090/s0002-9939-03-07184-3","title":"Reduction of Opial-type inequalities to norm inequalities","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Sublinear function; Inequality; Mathematics; Norm (philosophy); Pure mathematics; Type (biology); Discrete mathematics; Mathematical analysis; Philosophy","score_opus":0.06555739623186013,"score_gpt":0.33387483054786393,"score_spread":0.2683174343160038,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103017727","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.055015646,0.0011886128,0.8236395,0.0015729915,0.00068990234,0.0001033149,0.00043660303,0.00012910423,0.11722421],"genre_scores_gemma":[0.7471043,0.0026004368,0.17293246,0.0012796063,0.0015610523,0.00042380375,0.00082626456,0.0002869055,0.07298511],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984554,0.00033167994,0.00009065947,0.00023327609,0.000713057,0.00017579878],"domain_scores_gemma":[0.9981147,0.00075565104,0.00022341454,0.00021170627,0.0005386555,0.0001557999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017131534,0.00077062985,0.00059038814,0.0015123895,0.00061991456,0.0023320187,0.0015889738,0.0006951656,0.008032328],"category_scores_gemma":[0.005847903,0.00033115453,0.0012077251,0.0011779756,0.0016498262,0.0043861642,0.003198919,0.0044037555,0.0010161331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000334055,0.000018089479,0.00013983314,0.00006356079,0.000015950152,0.00007931978,0.000070512295,0.0049725203,0.0020622322,0.97835976,0.0014506356,0.012734193],"study_design_scores_gemma":[0.000010891562,0.000034192508,0.00032367802,0.000020089468,0.000014513118,0.00010019688,0.000057097972,0.058052026,0.0015106333,0.9326241,0.0072353315,0.000017228229],"about_ca_topic_score_codex":0.0008235827,"about_ca_topic_score_gemma":0.0007610085,"teacher_disagreement_score":0.008032328,"about_ca_system_score_codex":0.0013211161,"about_ca_system_score_gemma":0.0006697295,"threshold_uncertainty_score":0.026870787},"labels":[],"label_agreement":null},{"id":"W2103468656","doi":"10.1090/s0002-9939-08-09634-2","title":"Group gradings on simple Lie algebras in positive characteristic","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; National Science Foundation","keywords":"Simple (philosophy); Pure mathematics; Mathematics; Group (periodic table); Simple Lie group; Representation of a Lie group; Lie algebra; Simple group; Algebra over a field; Physics; Philosophy; Epistemology; Quantum mechanics","score_opus":0.027006935179905607,"score_gpt":0.2913367444853016,"score_spread":0.264329809305396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2103468656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68290347,0.0007524358,0.109699346,0.00151404,0.0007402404,0.00018924128,0.0004120477,0.0010039102,0.20278524],"genre_scores_gemma":[0.9444343,0.00032526173,0.012482038,0.00020043881,0.0002108408,0.0000610388,0.00016113053,0.00013747175,0.041987404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992329,0.00013857766,0.000042907333,0.00011518704,0.00028676522,0.00018375336],"domain_scores_gemma":[0.9994332,0.00007873413,0.00008118555,0.00008112077,0.00015479019,0.00017103185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006166947,0.00053256296,0.00039728204,0.0014877978,0.0011398667,0.0017527955,0.0005031804,0.0004509924,0.0065117055],"category_scores_gemma":[0.0013803034,0.00022484345,0.000615755,0.00063323585,0.0024332707,0.0031614315,0.0016139477,0.0010632201,0.0014692247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026354372,0.000026178248,0.00048837287,0.000032725933,0.0000068953495,0.00016386001,0.0005210724,0.00072063546,0.002292056,0.98481977,0.0014093826,0.009492706],"study_design_scores_gemma":[0.000023906056,0.000048790025,0.00078163156,0.000015495349,0.000008109715,0.00026496072,0.00023156615,0.0026606435,0.0017577698,0.983206,0.0109733185,0.00002787695],"about_ca_topic_score_codex":0.0012318428,"about_ca_topic_score_gemma":0.0012125763,"teacher_disagreement_score":0.0065117055,"about_ca_system_score_codex":0.0011917101,"about_ca_system_score_gemma":0.00057054544,"threshold_uncertainty_score":0.021783888},"labels":[],"label_agreement":null},{"id":"W2105537249","doi":"10.1090/s0002-9939-2013-11622-9","title":"Codimensions of polynomial identities of representations of Lie algebras","year":2013,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland","keywords":"Mathematics; Polynomial; Lie algebra; Conjecture; Pure mathematics; Representation (politics); Algebra over a field; Vector space; Space (punctuation); Representation theory; Computer science; Mathematical analysis","score_opus":0.029158629954407125,"score_gpt":0.3139609833500899,"score_spread":0.2848023533956828,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105537249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74205625,0.00057698844,0.06814735,0.0021952735,0.0004429015,0.00010337041,0.0010630193,0.00058098,0.18483388],"genre_scores_gemma":[0.9716304,0.0002104642,0.006268269,0.00011927958,0.00019847832,0.00005047014,0.0004225829,0.0001053429,0.020994661],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989471,0.00013788161,0.000067129724,0.00018192026,0.00029945996,0.00036653597],"domain_scores_gemma":[0.99830794,0.00041349672,0.00023691554,0.00014923023,0.0003992629,0.0004931506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010966157,0.0006942972,0.0006945096,0.003502062,0.002225408,0.0048726145,0.0011805176,0.0008520075,0.014272498],"category_scores_gemma":[0.0030998397,0.00046679558,0.00085892185,0.0012602733,0.0033363951,0.0044302344,0.0032461716,0.0022099023,0.0019690897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004102267,0.000020332383,0.00048756629,0.000029644361,0.000005505559,0.00008290103,0.00035923926,0.0002521925,0.00054905005,0.99312156,0.0011783584,0.0038725368],"study_design_scores_gemma":[0.000021721466,0.000024118246,0.0008207813,0.000018570958,0.000007692615,0.00015050016,0.00034398175,0.003424295,0.00081396755,0.9911642,0.0031882147,0.000021956017],"about_ca_topic_score_codex":0.0026368743,"about_ca_topic_score_gemma":0.0021500078,"teacher_disagreement_score":0.014272498,"about_ca_system_score_codex":0.002722835,"about_ca_system_score_gemma":0.0009939863,"threshold_uncertainty_score":0.0477463},"labels":[],"label_agreement":null},{"id":"W2109159081","doi":"10.1090/s0002-9939-05-07984-0","title":"Pointwise uniformly rotund norms","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pointwise; Mathematics; Computer science; Geology; Mathematical analysis","score_opus":0.016464421776464955,"score_gpt":0.289859493128089,"score_spread":0.27339507135162405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109159081","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.061593037,0.0024398824,0.67515475,0.0026371547,0.001356041,0.00008247205,0.0010435864,0.0010563078,0.2546368],"genre_scores_gemma":[0.64658785,0.0029110173,0.17209902,0.0017018454,0.001508111,0.00031712605,0.0026998215,0.0015880109,0.17058727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959133,0.0012284477,0.00029111662,0.0010184684,0.0011172622,0.00043128594],"domain_scores_gemma":[0.99253243,0.0025548672,0.00061165314,0.0008258322,0.003002459,0.00047269984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030009185,0.0012918279,0.0007990158,0.0020897933,0.0012464479,0.0044304305,0.0012135376,0.00085206516,0.016665844],"category_scores_gemma":[0.01084433,0.0003581506,0.0011593451,0.0013941567,0.003435057,0.0075067785,0.0037729214,0.003514488,0.004896025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035794965,0.000011650996,0.0001269383,0.000048023965,0.0000081544895,0.000056996378,0.00022990425,0.00058589363,0.0007687719,0.983273,0.0027444563,0.012110396],"study_design_scores_gemma":[0.000013889036,0.00007249938,0.00030662576,0.000045438795,0.000013981972,0.0002262681,0.00029579506,0.010914811,0.0032006581,0.9511715,0.03371176,0.000026750327],"about_ca_topic_score_codex":0.0013232997,"about_ca_topic_score_gemma":0.0012682467,"teacher_disagreement_score":0.016665844,"about_ca_system_score_codex":0.0016524036,"about_ca_system_score_gemma":0.0009729735,"threshold_uncertainty_score":0.055752814},"labels":[],"label_agreement":null},{"id":"W2111264607","doi":"10.1090/s0002-9939-2015-12556-7","title":"From Sobolev inequality to doubling","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sobolev inequality; Inequality; Poincaré inequality; Property (philosophy); Sobolev space; Measure (data warehouse); Pure mathematics; Mathematical analysis; Computer science; Philosophy; Epistemology","score_opus":0.11257519497230499,"score_gpt":0.3693357446404653,"score_spread":0.2567605496681603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111264607","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15951768,0.013607612,0.58933026,0.008171683,0.00279701,0.000057466685,0.0004620743,0.00024521022,0.22581106],"genre_scores_gemma":[0.90598565,0.009853475,0.043177802,0.0017361394,0.0023269942,0.0000883638,0.0003189762,0.0002025366,0.036310073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996258,0.00009692049,0.000023177412,0.00007842343,0.00012275897,0.000052988955],"domain_scores_gemma":[0.9991013,0.00041108837,0.00008318477,0.00008346385,0.00018492065,0.0001361239],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008571237,0.0006389874,0.00045466836,0.0013601338,0.0007305371,0.0012950802,0.0005339475,0.00067562936,0.003291723],"category_scores_gemma":[0.0032167304,0.00020081719,0.0005437033,0.0006202529,0.0017717708,0.0024931394,0.0025568681,0.0016433039,0.0005214464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018116447,0.000007465889,0.00022803448,0.000091649985,0.0000095425,0.00015608502,0.00012623538,0.0013449225,0.004405663,0.9800238,0.0016248672,0.011963643],"study_design_scores_gemma":[0.0000053539393,0.000029648338,0.0005504765,0.0000380856,0.00000843238,0.0003040623,0.00009636296,0.018344432,0.0030469133,0.96152574,0.01603109,0.000019373574],"about_ca_topic_score_codex":0.0006562771,"about_ca_topic_score_gemma":0.00031355544,"teacher_disagreement_score":0.003291723,"about_ca_system_score_codex":0.0007012412,"about_ca_system_score_gemma":0.0004400247,"threshold_uncertainty_score":0.0110118985},"labels":[],"label_agreement":null},{"id":"W2113820054","doi":"10.1090/s0002-9939-01-06105-6","title":"Proof of Wang’s conjecture on subspaces of an inner product space","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Linear subspace; Orthonormal basis; Conjecture; Combinatorics; Product (mathematics); Mathematics; Space (punctuation); Inner product space; Tensor product; Subspace topology; Discrete mathematics; Pure mathematics; Physics; Mathematical analysis; Computer science; Geometry; Quantum mechanics","score_opus":0.03514291913183093,"score_gpt":0.3208870313926815,"score_spread":0.28574411226085056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113820054","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25645924,0.0043367073,0.33626634,0.047123272,0.004976509,0.00017948054,0.0029365874,0.0020017547,0.34572005],"genre_scores_gemma":[0.8894861,0.0019638238,0.04008024,0.005344946,0.0023441727,0.00029245726,0.002776974,0.00045519875,0.057256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986689,0.00031353996,0.00007295485,0.00035225492,0.00030659063,0.00028578483],"domain_scores_gemma":[0.99637717,0.0017375888,0.00026627583,0.0004577166,0.00069076085,0.00047044762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002209399,0.0017566402,0.0012907794,0.0015600111,0.0020398535,0.0023109952,0.0014787833,0.0017735705,0.019243216],"category_scores_gemma":[0.008365753,0.00064935494,0.0022349183,0.001951644,0.004429955,0.0075265425,0.006204582,0.0049972273,0.003013697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010046168,0.000033168355,0.0006357705,0.00014610676,0.000032798038,0.00016091988,0.0003688914,0.0022772106,0.00065221806,0.96848214,0.017276274,0.009833994],"study_design_scores_gemma":[0.000040432988,0.000040708896,0.00048794656,0.000031647327,0.000020057645,0.00009225188,0.00011526494,0.006538819,0.0005668904,0.98155665,0.01048079,0.00002856187],"about_ca_topic_score_codex":0.0029736354,"about_ca_topic_score_gemma":0.0017782941,"teacher_disagreement_score":0.019243216,"about_ca_system_score_codex":0.002193385,"about_ca_system_score_gemma":0.001515129,"threshold_uncertainty_score":0.06437492},"labels":[],"label_agreement":null},{"id":"W2115024785","doi":"10.1090/s0002-9939-01-06280-3","title":"Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Israel Science Foundation; Natural Sciences and Engineering Research Council of Canada; Israel Academy of Sciences and Humanities; National Science Foundation","keywords":"Automorphism; Aleph; Automorphism group; Axiom of choice; Axiom; Mathematics; Combinatorics; Discrete mathematics; Set theory; Physics; Particle physics; Computer science; Geometry; Set (abstract data type)","score_opus":0.025190788551246512,"score_gpt":0.2852700293967669,"score_spread":0.26007924084552037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2115024785","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09825025,0.0010113078,0.4112228,0.009925694,0.0031981636,0.00020546473,0.0016437604,0.0022993335,0.47224325],"genre_scores_gemma":[0.7756521,0.0009730966,0.10862901,0.0042565297,0.0014087035,0.00038778788,0.0029892046,0.0012127176,0.10449081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99631506,0.0006204709,0.00029169017,0.001113377,0.0008518029,0.00080754823],"domain_scores_gemma":[0.9952434,0.0015252698,0.00034069968,0.0011070202,0.0014609211,0.00032258919],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027618338,0.00091587246,0.0014125576,0.0016035455,0.0038271223,0.0033460509,0.0015986718,0.002113877,0.01418691],"category_scores_gemma":[0.005678334,0.0012203378,0.0042197877,0.0009024629,0.0063256873,0.009984315,0.0041911365,0.0048682606,0.0054670423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036124708,0.000023450524,0.00020622014,0.00004028442,0.000017430075,0.00007210991,0.0001720541,0.00011777421,0.00075879483,0.9921349,0.003207897,0.003212972],"study_design_scores_gemma":[0.00003796086,0.00003173316,0.00045421446,0.000025481611,0.000024006848,0.00025925442,0.00016529518,0.0007751246,0.0019285243,0.9659006,0.030362371,0.000035343757],"about_ca_topic_score_codex":0.0028776967,"about_ca_topic_score_gemma":0.0034022017,"teacher_disagreement_score":0.01418691,"about_ca_system_score_codex":0.002150545,"about_ca_system_score_gemma":0.0016620196,"threshold_uncertainty_score":0.04745996},"labels":[],"label_agreement":null},{"id":"W2116933308","doi":"10.1090/s0002-9939-00-05650-1","title":"Inequalities of Reid type and Furuta","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"","keywords":"Inequality; Mathematics; Hilbert space; Pure mathematics; Bounded function; Linear inequality; Kantorovich inequality; Log sum inequality; Type (biology); Calculus (dental); Mathematical analysis","score_opus":0.047450247320131825,"score_gpt":0.31786874667656506,"score_spread":0.27041849935643325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2116933308","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.092617676,0.020106005,0.48562783,0.011723871,0.0029300218,0.00019553691,0.0018860986,0.00041970282,0.38449326],"genre_scores_gemma":[0.77836096,0.012232333,0.11768483,0.0044473507,0.004025214,0.00061849516,0.0013106398,0.00026914454,0.081050925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971316,0.0005888057,0.00019660023,0.00060972694,0.0009932255,0.00047999164],"domain_scores_gemma":[0.9962412,0.0016749531,0.00045679123,0.00053765706,0.00096219283,0.00012718164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025714415,0.0007062878,0.0009975268,0.0025224893,0.0017171826,0.0022388455,0.0017769464,0.002129534,0.011590652],"category_scores_gemma":[0.013453307,0.00042106264,0.0015724255,0.0023317824,0.004182522,0.0070797564,0.0037094567,0.0043566967,0.0021082368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024679768,0.0000058528535,0.00017159147,0.000064108164,0.0000092445125,0.00008755163,0.00011737577,0.000547478,0.00062665285,0.9819094,0.003869526,0.012566556],"study_design_scores_gemma":[0.000016344198,0.000029755334,0.0007955976,0.00005382808,0.00002063938,0.00035280196,0.00009782383,0.0058274237,0.002033475,0.95457757,0.03614878,0.000046035315],"about_ca_topic_score_codex":0.0020864825,"about_ca_topic_score_gemma":0.0011084835,"teacher_disagreement_score":0.011590652,"about_ca_system_score_codex":0.0021994903,"about_ca_system_score_gemma":0.001215836,"threshold_uncertainty_score":0.03877461},"labels":[],"label_agreement":null},{"id":"W2118919204","doi":"10.1090/s0002-9939-02-06433-x","title":"Admissible vectors for the regular representation","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":27,"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":"Concordia University; Deutsche Forschungsgemeinschaft","keywords":"Representation (politics); Mathematics; Algebra over a field; Computer science; Pure mathematics; Political science; Politics","score_opus":0.0832127872824057,"score_gpt":0.3521688079132957,"score_spread":0.26895602063088997,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2118919204","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22916299,0.0010857516,0.5466429,0.0024868145,0.00078823196,0.00014348626,0.0006291559,0.0007900129,0.21827057],"genre_scores_gemma":[0.8821954,0.00068180024,0.06607419,0.0006701637,0.0005123187,0.00019399977,0.00073076563,0.00037646055,0.048564874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891233,0.00019162594,0.000075959324,0.00024804412,0.00033576644,0.00023628368],"domain_scores_gemma":[0.99901164,0.00025654252,0.00014905597,0.00018124159,0.0002506418,0.0001507066],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086638954,0.0005138338,0.0004045694,0.0013664431,0.0012053881,0.0027682106,0.00061895314,0.0009855983,0.010505594],"category_scores_gemma":[0.0030738115,0.00024588188,0.000708813,0.0007547951,0.0029061106,0.0035353485,0.0017567045,0.0018110297,0.0017653217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004249738,0.000004151341,0.000038624385,0.000009523216,0.0000010205481,0.000020613408,0.00006418294,0.00015482426,0.0004143446,0.9955498,0.00034128202,0.0033972773],"study_design_scores_gemma":[0.000005392896,0.000016922399,0.000080506135,0.000016432597,0.0000030343317,0.00006537479,0.00008132099,0.0028932348,0.0010479677,0.9884198,0.0073595694,0.000010384151],"about_ca_topic_score_codex":0.00071606383,"about_ca_topic_score_gemma":0.00043451847,"teacher_disagreement_score":0.010505594,"about_ca_system_score_codex":0.00081529963,"about_ca_system_score_gemma":0.0006798131,"threshold_uncertainty_score":0.035144687},"labels":[],"label_agreement":null},{"id":"W2121956159","doi":"10.1090/s0002-9939-09-10218-6","title":"Non-crossing linked partitions, the partial order ≪ on 𝑁𝐶(𝑛), and the 𝑆-transform","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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","keywords":"Order (exchange); Mathematics; Combinatorics; Economics","score_opus":0.01735616594606234,"score_gpt":0.29826658749884366,"score_spread":0.28091042155278134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121956159","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27206206,0.0029052706,0.537116,0.0043209875,0.00074626616,0.00007472171,0.000667117,0.000505638,0.18160194],"genre_scores_gemma":[0.8841046,0.0017586818,0.05981485,0.0010823162,0.00088419934,0.00014897957,0.0009021861,0.000607347,0.050696805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890804,0.00026773746,0.00004960104,0.00025751846,0.0003323459,0.00018471673],"domain_scores_gemma":[0.9966377,0.0019852987,0.0003616839,0.00033202945,0.0003351308,0.00034810026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012935367,0.000680904,0.00077734375,0.001886814,0.0018783476,0.00363522,0.0010441109,0.0009639982,0.008210975],"category_scores_gemma":[0.0059545706,0.0005079713,0.0013623507,0.0016275839,0.004056262,0.006411007,0.0021688472,0.0034198053,0.0013633929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014140569,0.000005279396,0.00009511232,0.000015707588,0.0000029391608,0.00003467926,0.000080644604,0.00074567605,0.00016281154,0.994822,0.00070579705,0.0033152443],"study_design_scores_gemma":[0.000005709313,0.000010007704,0.00012622066,0.000008836974,0.0000035307046,0.000068829024,0.00003253787,0.0046282527,0.0002445207,0.9920535,0.002808812,0.000009194066],"about_ca_topic_score_codex":0.0021325396,"about_ca_topic_score_gemma":0.002041556,"teacher_disagreement_score":0.008210975,"about_ca_system_score_codex":0.002201576,"about_ca_system_score_gemma":0.0010261422,"threshold_uncertainty_score":0.027468503},"labels":[],"label_agreement":null},{"id":"W2122615076","doi":"10.1090/s0002-9939-06-08770-3","title":"Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Extension (predicate logic); Duality (order theory); Mathematics; Pure mathematics; Computer science","score_opus":0.007859103356037676,"score_gpt":0.22022123093779086,"score_spread":0.21236212758175319,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2122615076","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21646197,0.0065048123,0.6975901,0.0044796974,0.0004470598,0.00008139297,0.00022291223,0.00011098046,0.07410113],"genre_scores_gemma":[0.9248703,0.002561919,0.053021178,0.00065723894,0.00028997677,0.00013079628,0.00011143877,0.000054300304,0.018302761],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920624,0.00022241815,0.00003661012,0.00018200789,0.00019690185,0.00015590455],"domain_scores_gemma":[0.9989231,0.0004894634,0.00010840745,0.00013226688,0.00020138118,0.00014543504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001983908,0.0007145372,0.0008600738,0.0014314374,0.0009832578,0.001507,0.0010828442,0.0012473352,0.003221556],"category_scores_gemma":[0.0044116946,0.0003997573,0.0010873097,0.00089042657,0.0025843643,0.004267057,0.0032519752,0.002598512,0.00032671628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021114132,0.000014965152,0.00017950658,0.00004615336,0.000011473546,0.00015239902,0.00011638506,0.005483993,0.0012459306,0.98397726,0.00084813486,0.007902565],"study_design_scores_gemma":[0.000013090612,0.000037550486,0.00033381395,0.000021463391,0.0000079906,0.00019530037,0.00006817891,0.01571748,0.00062206,0.9776188,0.005347718,0.00001650742],"about_ca_topic_score_codex":0.0010605822,"about_ca_topic_score_gemma":0.00063625036,"teacher_disagreement_score":0.003221556,"about_ca_system_score_codex":0.0013896716,"about_ca_system_score_gemma":0.0008187294,"threshold_uncertainty_score":0.010777116},"labels":[],"label_agreement":null},{"id":"W2124343650","doi":"10.1090/s0002-9939-07-09068-5","title":"An elementary and constructive solution to Hilbert’s 17th Problem for matrices","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Constructive; Mathematics; Pure mathematics; Algebra over a field; Computer science; Process (computing); Programming language","score_opus":0.008320411574523567,"score_gpt":0.26165750474030663,"score_spread":0.25333709316578307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124343650","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015889432,0.002252535,0.72612315,0.00673774,0.0022723428,0.00011762683,0.0005665883,0.00077880267,0.2452618],"genre_scores_gemma":[0.35726988,0.0038439257,0.46668667,0.0036575913,0.0025423837,0.00047239786,0.0011002565,0.0012954506,0.1631314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991704,0.0002335469,0.00003418172,0.00010205702,0.00033582392,0.00012400023],"domain_scores_gemma":[0.99913424,0.00047460452,0.000045844223,0.00009350277,0.00017225301,0.000079627374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015298292,0.0012959242,0.0007850411,0.0012100905,0.0013482498,0.0024917154,0.0013773547,0.0013854885,0.031364977],"category_scores_gemma":[0.004695862,0.0005554736,0.0017675919,0.0009343788,0.0028071709,0.0043882784,0.0040822364,0.0039787632,0.0067712455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001058461,0.000016041762,0.000042496365,0.00007076426,0.0000092025,0.000051883693,0.00014641078,0.0010141805,0.00046385653,0.98116964,0.0075288084,0.009476102],"study_design_scores_gemma":[0.000016191021,0.00001662526,0.00005962736,0.000029898685,0.0000070338338,0.000080071506,0.000064451575,0.0058556176,0.00059834647,0.96774065,0.025518928,0.000012596456],"about_ca_topic_score_codex":0.0011950987,"about_ca_topic_score_gemma":0.0020284662,"teacher_disagreement_score":0.031364977,"about_ca_system_score_codex":0.0015903079,"about_ca_system_score_gemma":0.0015618398,"threshold_uncertainty_score":0.10492629},"labels":[],"label_agreement":null},{"id":"W2124481671","doi":"10.1090/s0002-9939-09-09637-3","title":"A Littlewood-Richardson rule for Grassmannian permutations","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Grassmannian; Generalized flag variety; Flag (linear algebra); Combinatorics; Schubert calculus; Intersection (aeronautics); Mathematics; Schubert variety; Pure mathematics; Algebra over a field; Cartography; Geography","score_opus":0.025062881557782645,"score_gpt":0.32210361995817804,"score_spread":0.2970407384003954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2124481671","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0965911,0.00029028658,0.8190118,0.00048145765,0.0007143203,0.00019223889,0.0004412884,0.0026589327,0.07961857],"genre_scores_gemma":[0.487189,0.00039000265,0.4787311,0.0005850704,0.00032062913,0.00027808378,0.0008659595,0.0012283066,0.030411988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812704,0.00021607665,0.00016857879,0.0004959027,0.0007463589,0.00024593674],"domain_scores_gemma":[0.99858654,0.0003175496,0.00008099086,0.0005318619,0.00030810144,0.00017504438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014875259,0.00058239273,0.00072023895,0.0017236787,0.0021453777,0.0039846175,0.0019010159,0.0009743636,0.00784074],"category_scores_gemma":[0.0043457705,0.0005055028,0.001322632,0.0013073562,0.0028639296,0.0051990515,0.0020123636,0.0029627078,0.004670834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008943506,0.000052383624,0.0009835277,0.00007194517,0.000016564947,0.00035464042,0.00029427386,0.0018929818,0.0076946015,0.90876925,0.005200632,0.07457973],"study_design_scores_gemma":[0.000018382485,0.00007952856,0.00044663632,0.000047058038,0.00003001472,0.0005307429,0.00014134165,0.011696661,0.017876565,0.94699025,0.02206072,0.00008219138],"about_ca_topic_score_codex":0.0008798435,"about_ca_topic_score_gemma":0.0014246154,"teacher_disagreement_score":0.00784074,"about_ca_system_score_codex":0.000602655,"about_ca_system_score_gemma":0.0007962374,"threshold_uncertainty_score":0.026229918},"labels":[],"label_agreement":null},{"id":"W2126071774","doi":"10.1090/proc/12848","title":"An unusual continued fraction","year":2015,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Sigma; Conjecture; Fraction (chemistry); Mathematics; Quotient; Transcendental number; Continued fraction; Combinatorics; Logarithm; Physics; Mathematical analysis; Arithmetic; Quantum mechanics","score_opus":0.018003505059312006,"score_gpt":0.28150130431641984,"score_spread":0.2634977992571078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2126071774","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06501458,0.002789808,0.2654782,0.008225724,0.005467529,0.00014589263,0.0009935185,0.0030096339,0.6488751],"genre_scores_gemma":[0.68723416,0.001519785,0.08825512,0.0032663622,0.002223237,0.0002902212,0.0008791605,0.0049605514,0.21137139],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914277,0.00016181087,0.000041952073,0.0002087112,0.00026527833,0.00017950639],"domain_scores_gemma":[0.99908245,0.0003482967,0.000078895726,0.00016534881,0.00023752575,0.00008761356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073057367,0.0011028433,0.00072114274,0.0020394525,0.0026268647,0.003430442,0.00093086803,0.0013302256,0.041516148],"category_scores_gemma":[0.0061742445,0.00040048143,0.0011899162,0.001149501,0.002619716,0.0049463944,0.0019296325,0.002282764,0.010611997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060241015,0.000018822106,0.0003139376,0.0000788133,0.000008870471,0.00051396206,0.00040628947,0.00056089525,0.0014339861,0.9652846,0.013815159,0.017504383],"study_design_scores_gemma":[0.00002862617,0.000032693697,0.0004012468,0.00008680239,0.000017591003,0.0007523877,0.00020482496,0.007070323,0.0026009497,0.8678487,0.12091442,0.0000413829],"about_ca_topic_score_codex":0.002665632,"about_ca_topic_score_gemma":0.0022696091,"teacher_disagreement_score":0.041516148,"about_ca_system_score_codex":0.0021093003,"about_ca_system_score_gemma":0.00090378907,"threshold_uncertainty_score":0.13888538},"labels":[],"label_agreement":null},{"id":"W2127581279","doi":"10.1090/s0002-9939-01-05928-7","title":"A direct integral decomposition of the wavelet representation","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wavelet; Mathematics; Representation (politics); Monomial; Dilation (metric space); Discrete wavelet transform; Real representation; Integer (computer science); Regular representation; Wavelet transform; Pure mathematics; Irreducible representation; Algebra over a field; Discrete mathematics; Combinatorics; Group (periodic table); Computer science; Artificial intelligence","score_opus":0.03740003904769841,"score_gpt":0.3580687725028463,"score_spread":0.3206687334551479,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127581279","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12020978,0.0009682501,0.81249976,0.0007090767,0.00057490345,0.00006113314,0.00017908939,0.00020057672,0.06459746],"genre_scores_gemma":[0.73366904,0.0022485023,0.1959144,0.0004603641,0.0011476752,0.00010601914,0.00038152968,0.0004002754,0.0656723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956864,0.00005946401,0.000016209247,0.00009822516,0.00018273493,0.00007471856],"domain_scores_gemma":[0.9996822,0.00005995195,0.000051776282,0.000045885467,0.00008784852,0.000072386654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057290494,0.0006094595,0.0005242147,0.0016314463,0.00059788016,0.0016771029,0.0005962043,0.0005104391,0.006951438],"category_scores_gemma":[0.0013623986,0.00022454564,0.0006628335,0.0008531522,0.0013747567,0.0022539385,0.0012776064,0.0016742495,0.0015049314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016888967,0.0000140247785,0.000067525856,0.000027671485,0.000005179335,0.000048427235,0.00013916282,0.0010017739,0.0029848833,0.98370403,0.00068247097,0.011307891],"study_design_scores_gemma":[0.000010617617,0.00007065418,0.00030062656,0.000028403,0.000014862967,0.00023999489,0.00014917616,0.038179696,0.0030606322,0.9446501,0.013270105,0.000025186135],"about_ca_topic_score_codex":0.00043435424,"about_ca_topic_score_gemma":0.00030777798,"teacher_disagreement_score":0.006951438,"about_ca_system_score_codex":0.00057338923,"about_ca_system_score_gemma":0.0004301175,"threshold_uncertainty_score":0.023254931},"labels":[],"label_agreement":null},{"id":"W2127866371","doi":"10.1090/s0002-9939-03-06966-1","title":"Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Metrization theorem; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.019670216801858792,"score_gpt":0.29287596184260317,"score_spread":0.27320574504074435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127866371","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5578058,0.0010602492,0.36716866,0.0010656035,0.0002729958,0.000077279714,0.0006320709,0.0005978241,0.07131964],"genre_scores_gemma":[0.95607185,0.0002637906,0.030839086,0.0001998223,0.000109800596,0.000058487203,0.00044893628,0.000099233475,0.011909039],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821955,0.0004094325,0.00014754724,0.00051413587,0.00051807956,0.0001911976],"domain_scores_gemma":[0.9973224,0.0009275471,0.0003915421,0.00041635023,0.00068383384,0.00025837997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009943414,0.00061581895,0.0004272456,0.0009541684,0.0009994402,0.0026332128,0.0006054796,0.0005383613,0.0048426166],"category_scores_gemma":[0.003094716,0.00034540382,0.0007712542,0.00066657807,0.003028395,0.0057430947,0.002116648,0.0013117415,0.00080012786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056415836,0.000009693906,0.0005279073,0.000050820832,0.000011726552,0.00008173523,0.00022099112,0.001045416,0.0016679743,0.9914234,0.00038755534,0.004516283],"study_design_scores_gemma":[0.000028117285,0.00010739979,0.0007594763,0.000023237202,0.000019600126,0.00036486666,0.0005444028,0.011099983,0.0044214795,0.9695189,0.013080485,0.00003213052],"about_ca_topic_score_codex":0.0008737947,"about_ca_topic_score_gemma":0.00090015895,"teacher_disagreement_score":0.0048426166,"about_ca_system_score_codex":0.0011850749,"about_ca_system_score_gemma":0.00049713644,"threshold_uncertainty_score":0.016200125},"labels":[],"label_agreement":null},{"id":"W2131347617","doi":"10.1090/s0002-9939-02-06896-x","title":"On quasi-affine transforms of Read’s operator","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Science Foundation","keywords":"Affine transformation; Mathematics; Operator (biology); Algebra over a field; Pure mathematics; Computer science; Chemistry","score_opus":0.04011829529181424,"score_gpt":0.30718101374251655,"score_spread":0.2670627184507023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131347617","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24114639,0.0010969581,0.31325778,0.0038285225,0.0015865811,0.00006948411,0.00032320368,0.0009656881,0.43772545],"genre_scores_gemma":[0.90008956,0.0004490265,0.043385953,0.0011829912,0.00057237037,0.00006450359,0.00023942578,0.00051131076,0.053504873],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99911004,0.00017402465,0.000037570022,0.00021870693,0.00026258474,0.00019701137],"domain_scores_gemma":[0.9993709,0.00017325145,0.00008196066,0.00009759363,0.000178144,0.000098237295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010982906,0.00047217542,0.0003756781,0.0010651352,0.0011543196,0.0020012846,0.00062496116,0.0008513076,0.009348173],"category_scores_gemma":[0.0019464098,0.00023634237,0.0010785218,0.0005227119,0.0027089422,0.0035557179,0.0015669536,0.0024383687,0.001327356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009835933,0.000008272471,0.000050190367,0.000007005091,0.0000021339765,0.000051158273,0.00014567855,0.00011928769,0.0005131412,0.9965863,0.0007093724,0.0017975275],"study_design_scores_gemma":[0.000017825141,0.00003290627,0.0002922852,0.000011162158,0.00000599282,0.00017142067,0.00021802976,0.0038268354,0.0017791609,0.9808946,0.012732175,0.000017546445],"about_ca_topic_score_codex":0.001621079,"about_ca_topic_score_gemma":0.0010951849,"teacher_disagreement_score":0.009348173,"about_ca_system_score_codex":0.0014030815,"about_ca_system_score_gemma":0.00048025648,"threshold_uncertainty_score":0.03127277},"labels":[],"label_agreement":null},{"id":"W2133379784","doi":"10.1090/s0002-9939-09-09857-8","title":"On the irreducible representations of a finite semigroup","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Vetenskapsrådet; Swedish Foundation for International Cooperation in Research and Higher Education","keywords":"Mathematics; Semigroup; Isomorphism (crystallography); Lemma (botany); Irreducible representation; Simple (philosophy); Parameterized complexity; Pure mathematics; Ring (chemistry); (g,K)-module; Algebra over a field; Combinatorics","score_opus":0.0136250332330557,"score_gpt":0.25862107988260713,"score_spread":0.24499604664955144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133379784","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42503503,0.0063513895,0.33712378,0.0037546747,0.0006411927,0.000074595955,0.00026652776,0.0003401794,0.22641256],"genre_scores_gemma":[0.94984895,0.0017118936,0.030116733,0.00036761662,0.0005902244,0.000046427747,0.0001372015,0.0000713551,0.017109593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993876,0.00019821963,0.000033226694,0.000120030156,0.00015481989,0.00010604358],"domain_scores_gemma":[0.99916136,0.00041464844,0.000070057955,0.00015464098,0.00010631208,0.000092911614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013305431,0.00048520137,0.0004358416,0.0012847278,0.0010970075,0.0019173804,0.00049205194,0.0006026007,0.0023167965],"category_scores_gemma":[0.0026818146,0.00028880103,0.0007630083,0.00078735524,0.004606429,0.003946175,0.0020426258,0.0017379599,0.00040838966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065013965,0.000003894524,0.00003917831,0.000007926546,0.0000011429119,0.000022676115,0.00021835096,0.0002568219,0.00037466225,0.99688953,0.00016373066,0.0020155634],"study_design_scores_gemma":[0.000004539389,0.000011883727,0.00008223367,0.000011238601,0.0000027859965,0.00005783853,0.000045306726,0.0013069932,0.00046414952,0.99349445,0.0045128474,0.0000058789174],"about_ca_topic_score_codex":0.0005662285,"about_ca_topic_score_gemma":0.00027788442,"teacher_disagreement_score":0.0023167965,"about_ca_system_score_codex":0.0010561494,"about_ca_system_score_gemma":0.000578536,"threshold_uncertainty_score":0.0077504516},"labels":[],"label_agreement":null},{"id":"W2135033134","doi":"10.1090/s0002-9939-2014-12163-0","title":"A note on reductions of 2-dimensional crystalline Galois representations","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Modulo; Prime (order theory); Galois module; Galois group; Filtration (mathematics); Combinatorics; Constant (computer programming); Extension (predicate logic); Degree (music); Pure mathematics; Discrete mathematics; Physics; Computer science","score_opus":0.02007920342572522,"score_gpt":0.31233893479133074,"score_spread":0.2922597313656055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2135033134","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09966473,0.004174934,0.20740181,0.0067374962,0.0037165894,0.00014063122,0.0014085792,0.0015376162,0.6752176],"genre_scores_gemma":[0.7408958,0.005190799,0.08782575,0.00331329,0.0022024421,0.0003471384,0.0019647102,0.0015529122,0.15670714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900717,0.00028865683,0.000057444242,0.0001569298,0.00033532167,0.00015452337],"domain_scores_gemma":[0.99937123,0.0003215357,0.000029889576,0.0001471469,0.0000827205,0.00004756077],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010723838,0.0010107837,0.0007235018,0.0017893806,0.0014710138,0.0028046267,0.0009469642,0.0008553271,0.015869197],"category_scores_gemma":[0.0023598368,0.0004161048,0.0017187559,0.0017317439,0.002462673,0.0043439493,0.0034042073,0.003502931,0.004187289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023545508,0.0000142392,0.000066707405,0.00003985713,0.0000057357684,0.00007002119,0.0002700519,0.00055276783,0.00052205595,0.9821031,0.005118011,0.011213925],"study_design_scores_gemma":[0.0000144555925,0.000026248239,0.00017579288,0.000020815378,0.000007697872,0.00011449638,0.00012512474,0.0016133332,0.0011352781,0.96012276,0.036624093,0.00001991399],"about_ca_topic_score_codex":0.0018855626,"about_ca_topic_score_gemma":0.0015078491,"teacher_disagreement_score":0.015869197,"about_ca_system_score_codex":0.0014816971,"about_ca_system_score_gemma":0.00064926926,"threshold_uncertainty_score":0.05308777},"labels":[],"label_agreement":null},{"id":"W2138669723","doi":"10.1090/s0002-9939-00-05798-1","title":"An extremal property of Fekete polynomials","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Legendre symbol; Omega; Legendre polynomials; Macdonald polynomials; Permutation (music); Discrete mathematics; Orthogonal polynomials; Difference polynomials; Physics; Mathematical analysis; Quantum mechanics; Geometry","score_opus":0.023597192584142536,"score_gpt":0.2794498170894256,"score_spread":0.25585262450528307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138669723","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24033453,0.0019726022,0.35595393,0.002873088,0.0012147867,0.00006588949,0.00091514766,0.00090243306,0.39576766],"genre_scores_gemma":[0.93449235,0.0007932494,0.02239565,0.00039341,0.00061110023,0.000051021925,0.0004084334,0.0004353825,0.040419325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991386,0.00013814276,0.00003115793,0.00019117609,0.00024622053,0.0002546202],"domain_scores_gemma":[0.99900395,0.00039038586,0.00011835426,0.00012010405,0.00022704533,0.00014016432],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061196665,0.0007127472,0.0006736401,0.0018735174,0.0016649227,0.002782822,0.00078819226,0.00086395314,0.017875105],"category_scores_gemma":[0.0041441945,0.0003635563,0.00070029014,0.0012476703,0.0024969594,0.003062849,0.0016354371,0.0027647887,0.0043484326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004837143,0.000015930407,0.00024698608,0.000048491613,0.000008554186,0.00011661412,0.00015125136,0.0012997775,0.001060235,0.97764266,0.004789519,0.014571554],"study_design_scores_gemma":[0.000011042456,0.00002938632,0.00045802133,0.00004111662,0.000008572434,0.0003896095,0.00010331513,0.007783878,0.0016104779,0.9758463,0.013685975,0.000032312837],"about_ca_topic_score_codex":0.0010176504,"about_ca_topic_score_gemma":0.00080213096,"teacher_disagreement_score":0.017875105,"about_ca_system_score_codex":0.0011023916,"about_ca_system_score_gemma":0.0004707111,"threshold_uncertainty_score":0.05979818},"labels":[],"label_agreement":null},{"id":"W2138675614","doi":"10.1090/s0002-9939-01-06136-6","title":"Sums of numbers with small partial quotients","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Mathematics; Combinatorics; Discrete mathematics","score_opus":0.017459139320200438,"score_gpt":0.23441456649287054,"score_spread":0.2169554271726701,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138675614","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.066168316,0.0120444475,0.5402155,0.006668327,0.0062909913,0.00015373844,0.000905898,0.0021264204,0.36542633],"genre_scores_gemma":[0.7122136,0.005631008,0.13960959,0.0023516924,0.0040676016,0.0003739255,0.0011793006,0.002101111,0.13247219],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955252,0.0012376205,0.00042461415,0.0009332977,0.0014875275,0.00039173395],"domain_scores_gemma":[0.9952591,0.0026590375,0.00029466028,0.00065371185,0.00077036733,0.00036310573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035007328,0.001463432,0.001502679,0.0032132952,0.0023700104,0.007519682,0.0011598847,0.00079947966,0.015581072],"category_scores_gemma":[0.01653179,0.0009330151,0.0021039206,0.0029189778,0.0054330695,0.011268825,0.0052478644,0.004028374,0.0056859422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050653925,0.000007655881,0.00014573014,0.00009137511,0.000017318405,0.000058358888,0.00025756075,0.000370946,0.00038462286,0.9785942,0.0044752015,0.015546342],"study_design_scores_gemma":[0.000012954948,0.000017487688,0.00014910194,0.000029820812,0.000020088259,0.00011543426,0.00005087783,0.0013592482,0.00069778087,0.9736602,0.02386559,0.000021424483],"about_ca_topic_score_codex":0.00095989136,"about_ca_topic_score_gemma":0.0011178071,"teacher_disagreement_score":0.015581072,"about_ca_system_score_codex":0.0022637642,"about_ca_system_score_gemma":0.0010744301,"threshold_uncertainty_score":0.052123904},"labels":[],"label_agreement":null},{"id":"W2139885348","doi":"10.1090/proc/12859","title":"Nonclassifiability of UHF 𝐿^{𝑝}-operator algebras","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Banff International Research Station for Mathematical Innovation and Discovery; York University; National Science Foundation","keywords":"Countable set; Separable space; Tensor product; Diagonal; Isomorphism (crystallography); Ultra high frequency; Second-countable space; Operator (biology); Assertion","score_opus":0.060240260605763735,"score_gpt":0.34984632424979534,"score_spread":0.28960606364403163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139885348","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.269453,0.00095078663,0.5045581,0.0030041945,0.0009283849,0.00014627562,0.0011235729,0.0023493504,0.21748628],"genre_scores_gemma":[0.89835835,0.0003450421,0.053816784,0.0008684248,0.00049120985,0.00013083355,0.0009840284,0.00076917885,0.04423616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99708456,0.00040147567,0.00019052069,0.00064807676,0.00088545994,0.00078999065],"domain_scores_gemma":[0.9968876,0.001004846,0.00028571178,0.00044276688,0.0009200602,0.0004590068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021689734,0.0008181749,0.0008064432,0.0019391369,0.0037855115,0.0043748445,0.0013879773,0.0011862767,0.01917095],"category_scores_gemma":[0.004987163,0.0008185382,0.0021637268,0.001023059,0.0043148375,0.009627867,0.0034688127,0.0036155994,0.00267242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002359323,0.000016247353,0.00018186502,0.000026333504,0.000008655905,0.0000937324,0.00024105083,0.00016924126,0.0005813501,0.9943169,0.0012765056,0.0030645325],"study_design_scores_gemma":[0.000013737499,0.00001191808,0.00023491829,0.000014617999,0.0000113421365,0.00012407561,0.00017915276,0.0030292505,0.0018421205,0.98837227,0.0061473213,0.000019318331],"about_ca_topic_score_codex":0.0038530603,"about_ca_topic_score_gemma":0.0033127943,"teacher_disagreement_score":0.01917095,"about_ca_system_score_codex":0.0031168852,"about_ca_system_score_gemma":0.0012851935,"threshold_uncertainty_score":0.06413317},"labels":[],"label_agreement":null},{"id":"W2140235545","doi":"10.1090/s0002-9939-09-10182-x","title":"Proof of a dynamical Bogomolov conjecture for lines under polynomial actions","year":2009,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Conjecture; Polynomial; Mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","score_opus":0.027063978349320065,"score_gpt":0.3143360357611247,"score_spread":0.2872720574118046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140235545","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44162446,0.0011266357,0.2678373,0.012403074,0.0014374637,0.00012872432,0.0009940843,0.0022558065,0.27219242],"genre_scores_gemma":[0.968585,0.0004628792,0.011418935,0.0010695823,0.0005944816,0.00008979773,0.00052113214,0.00029290598,0.016965136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910575,0.00016772097,0.000044015873,0.0002080417,0.00024299425,0.00023148008],"domain_scores_gemma":[0.9985489,0.0005523413,0.00021250245,0.00020583838,0.00025672565,0.00022364414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009195038,0.00086525886,0.00077531824,0.0011222471,0.0019911067,0.0022314165,0.0010761454,0.0014641477,0.01691956],"category_scores_gemma":[0.0036550297,0.00042250686,0.0015725916,0.00064768334,0.0036513605,0.0049419957,0.003401717,0.0029924193,0.0019882102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036280762,0.00001981125,0.00039085164,0.000052207688,0.000009405198,0.0001548064,0.000219614,0.0015690041,0.0008132553,0.9914398,0.0025748184,0.0027201234],"study_design_scores_gemma":[0.000038686554,0.000027567074,0.0003631205,0.000022417258,0.000011219276,0.00011712202,0.00012848526,0.01141739,0.0008995374,0.981998,0.004956918,0.00001946674],"about_ca_topic_score_codex":0.002659363,"about_ca_topic_score_gemma":0.0015196111,"teacher_disagreement_score":0.01691956,"about_ca_system_score_codex":0.0018021994,"about_ca_system_score_gemma":0.0007587673,"threshold_uncertainty_score":0.056601524},"labels":[],"label_agreement":null},{"id":"W2142072686","doi":"10.1090/s0002-9939-09-09802-5","title":"Classification of almost quarter-pinched manifolds","year":2009,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"John D. and Catherine T. MacArthur Foundation; National Science Foundation","keywords":"Quarter (Canadian coin); Diffeomorphism; Manifold (fluid mechanics); Mathematics; Geometry; Combinatorics; Pure mathematics; Geography; Engineering","score_opus":0.02669155231926932,"score_gpt":0.29382368135105397,"score_spread":0.2671321290317846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142072686","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9491421,0.00026965764,0.032228317,0.00019042427,0.00012541942,0.000028682289,0.0002778534,0.00028352093,0.017453933],"genre_scores_gemma":[0.98887604,0.00019785845,0.005357477,0.000049181494,0.000059987844,0.00002056995,0.0006648176,0.000038629547,0.004735319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997297,0.000017800963,0.00001726565,0.0000717041,0.00009778829,0.000065687214],"domain_scores_gemma":[0.99958247,0.000033857526,0.0000985383,0.00008807413,0.00008800511,0.00010900852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019192752,0.00041829178,0.00042079258,0.0015815459,0.0010204847,0.0016365375,0.00086468237,0.0006374752,0.00584932],"category_scores_gemma":[0.00084837776,0.00025429527,0.00026430187,0.0009750025,0.001744603,0.0022452231,0.0023451885,0.00091000233,0.00063372555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033802981,0.00005870535,0.015099907,0.00019494467,0.000035725512,0.0012116701,0.0012685449,0.011626871,0.018813383,0.8712856,0.007374785,0.07269186],"study_design_scores_gemma":[0.000052146712,0.00038550427,0.0315141,0.00012785434,0.00006328845,0.0042367512,0.0017649579,0.07615626,0.01843445,0.79831785,0.068834454,0.000112418296],"about_ca_topic_score_codex":0.0005891602,"about_ca_topic_score_gemma":0.00028716467,"teacher_disagreement_score":0.00584932,"about_ca_system_score_codex":0.00042594265,"about_ca_system_score_gemma":0.0001859215,"threshold_uncertainty_score":0.019567966},"labels":[],"label_agreement":null},{"id":"W2146418403","doi":"10.1090/s0002-9939-02-06691-1","title":"The Berezin transform and radial operators","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics","score_opus":0.020500980144022938,"score_gpt":0.25505147378215653,"score_spread":0.2345504936381336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146418403","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6284326,0.0011144523,0.28997687,0.001285188,0.00015846382,0.000040426406,0.00009499622,0.00031540846,0.078581735],"genre_scores_gemma":[0.9747799,0.0003206988,0.014722111,0.00014518994,0.00008749676,0.000027780028,0.00006339154,0.00009737168,0.009756093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946946,0.00014198631,0.000019345829,0.00008004551,0.00016896465,0.00012027031],"domain_scores_gemma":[0.99897444,0.00040331675,0.00019404055,0.0000855439,0.0001710768,0.00017158789],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011997381,0.00062731956,0.00037878793,0.0015210565,0.000910629,0.0014827746,0.0007229707,0.000795363,0.003981542],"category_scores_gemma":[0.0030237194,0.00020230722,0.00053168094,0.00055976433,0.003147258,0.0031938597,0.0015541391,0.001289378,0.00057971507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020773201,0.000013492702,0.00020966609,0.00002785568,0.0000030059412,0.00008910587,0.00020192582,0.0022304456,0.0023003248,0.99235827,0.00028457644,0.0022605383],"study_design_scores_gemma":[0.000010909696,0.000046148787,0.0005132264,0.000026564887,0.0000054603206,0.00025266656,0.00022749003,0.07358067,0.0028156529,0.9209576,0.0015387163,0.00002491925],"about_ca_topic_score_codex":0.00082970626,"about_ca_topic_score_gemma":0.00042470885,"teacher_disagreement_score":0.003981542,"about_ca_system_score_codex":0.0008134813,"about_ca_system_score_gemma":0.00044323027,"threshold_uncertainty_score":0.013319552},"labels":[],"label_agreement":null},{"id":"W2147046893","doi":"10.1090/s0002-9939-00-05617-3","title":"Almost-everywhere discontinuity of the spectral radius","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Lambda; Discontinuity (linguistics); Spectral radius; Almost everywhere; RADIUS; Construct (python library); Operator (biology); Combinatorics; Mathematics; Physics; Unit (ring theory); Pure mathematics; Mathematical analysis; Computer science; Quantum mechanics; Computer security; Eigenvalues and eigenvectors; Chemistry","score_opus":0.016558364081125366,"score_gpt":0.2767351511455666,"score_spread":0.26017678706444125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2147046893","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25267515,0.002594594,0.53659874,0.0037834088,0.0008410458,0.000059548227,0.00062196306,0.0029471174,0.19987848],"genre_scores_gemma":[0.9308508,0.0006921398,0.03932631,0.00080431625,0.00036879003,0.00008404387,0.0003461184,0.0012924185,0.026235063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983918,0.0003853368,0.000070830334,0.0004780047,0.0004256184,0.0002483427],"domain_scores_gemma":[0.9954491,0.0020720551,0.0004000492,0.0005400056,0.0010516788,0.0004871633],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001255338,0.0009526986,0.0008966756,0.0023953982,0.0012850423,0.00281574,0.0012918998,0.0012387112,0.012193644],"category_scores_gemma":[0.010796202,0.00048040232,0.00092423754,0.00065024896,0.0025730405,0.0037905104,0.0025931036,0.0024726163,0.0031112141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000114210045,0.000027824914,0.0006759507,0.0001392232,0.000024394323,0.00023314785,0.00032883647,0.002710522,0.0044222893,0.9724956,0.005921041,0.012906936],"study_design_scores_gemma":[0.000024670258,0.000054563356,0.0014551416,0.00008657008,0.000026048092,0.00052160263,0.00028335955,0.057566307,0.004486837,0.92303973,0.012397075,0.00005810228],"about_ca_topic_score_codex":0.0017576889,"about_ca_topic_score_gemma":0.0010296921,"teacher_disagreement_score":0.012193644,"about_ca_system_score_codex":0.0017489094,"about_ca_system_score_gemma":0.000580285,"threshold_uncertainty_score":0.04079181},"labels":[],"label_agreement":null},{"id":"W2151444805","doi":"10.1090/s0002-9939-06-08683-7","title":"The weak Dirichlet problem for Baire functions","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Grantová Agentura České Republiky","keywords":"Mathematics; Affine transformation; Class (philosophy); Baire measure; Bounded function; Function (biology); Simplex; Combinatorics; Baire space; Extreme point; Set (abstract data type); Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.020247205591591624,"score_gpt":0.27490480908892684,"score_spread":0.25465760349733524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151444805","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.185777,0.007977278,0.4825161,0.019708116,0.001539626,0.00011307881,0.0012238587,0.00072190625,0.30042312],"genre_scores_gemma":[0.7652461,0.0042942483,0.070233114,0.002335781,0.002415025,0.0004176119,0.0018265857,0.0008994064,0.15233211],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971156,0.0011908584,0.00012758932,0.00043327222,0.00067188096,0.00046086544],"domain_scores_gemma":[0.99212646,0.004944047,0.00040423468,0.00067309896,0.0009921524,0.0008600052],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0053499886,0.0012849744,0.0022193328,0.0037143733,0.0028344954,0.0068010353,0.0026480982,0.0039453204,0.019468814],"category_scores_gemma":[0.022913206,0.00090356555,0.0017494938,0.0019828593,0.005065302,0.008973726,0.0052461275,0.004828299,0.003394089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024680892,0.0000114131835,0.00013780201,0.00005657972,0.000010345465,0.000027338778,0.00007172046,0.0021313862,0.0001094534,0.99154985,0.0027726195,0.0030967523],"study_design_scores_gemma":[0.0000093470835,0.0000055362266,0.000102671875,0.000024041714,0.0000036712363,0.000023904699,0.00004254688,0.018500911,0.00011854598,0.97894657,0.002211669,0.000010552715],"about_ca_topic_score_codex":0.0036454068,"about_ca_topic_score_gemma":0.002875124,"teacher_disagreement_score":0.019468814,"about_ca_system_score_codex":0.004723081,"about_ca_system_score_gemma":0.0019910282,"threshold_uncertainty_score":0.0651297},"labels":[],"label_agreement":null},{"id":"W2157007292","doi":"10.1090/s0002-9939-00-05739-7","title":"Estimating the rational LS-category of elliptic spaces","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"University of Ottawa","keywords":"Mathematics; Homotopy; Cohomology; Eilenberg–MacLane space; Pure mathematics; Homotopy group; Algebra over a field; Invariant (physics); Space (punctuation); Computer science; Mathematical physics","score_opus":0.0190716038580733,"score_gpt":0.28741522463929264,"score_spread":0.2683436207812193,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157007292","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40867293,0.0016156008,0.5290993,0.0020388672,0.00026900743,0.00007617706,0.0011712105,0.0012052966,0.055851676],"genre_scores_gemma":[0.9443633,0.00076808437,0.037369393,0.0002032806,0.0003322624,0.00007693559,0.001167472,0.00031363853,0.015405744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997279,0.00055928883,0.00014789189,0.0007586369,0.0008628782,0.00039232083],"domain_scores_gemma":[0.9919891,0.0031054544,0.0006774225,0.0012441314,0.0021751127,0.0008086654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038064013,0.0011284595,0.00091143016,0.0066879108,0.0011939928,0.004245694,0.0019199791,0.0012253528,0.013089684],"category_scores_gemma":[0.017180862,0.0007788612,0.0009793941,0.0017973678,0.0031968805,0.010953609,0.0075581777,0.002521254,0.0023268822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000091449656,0.00004102527,0.011960779,0.0002398909,0.000037537953,0.00018400143,0.0006427808,0.0051599066,0.0022586205,0.94820225,0.002539353,0.028642368],"study_design_scores_gemma":[0.00001523282,0.00009689595,0.01029169,0.00011118014,0.00006141673,0.00034541392,0.000665804,0.06911829,0.008083786,0.8972187,0.013895943,0.00009575037],"about_ca_topic_score_codex":0.0032145875,"about_ca_topic_score_gemma":0.0017401006,"teacher_disagreement_score":0.013089684,"about_ca_system_score_codex":0.0020578592,"about_ca_system_score_gemma":0.00061275053,"threshold_uncertainty_score":0.043789387},"labels":[],"label_agreement":null},{"id":"W2159662747","doi":"10.1090/s0002-9939-2013-11814-9","title":"A commutative algebraic approach to the fitting problem","year":2013,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Hyperplane; Mathematics; Ideal (ethics); Combinatorics; Commutative property; Algebraic number; Line (geometry); Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.0405502904984616,"score_gpt":0.31013044123583705,"score_spread":0.26958015073737546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159662747","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.117016606,0.0030589916,0.7109766,0.00900534,0.00059673935,0.00012848989,0.00061294885,0.00036990107,0.15823439],"genre_scores_gemma":[0.75105643,0.002708691,0.19957551,0.0014304104,0.0015547273,0.00017495353,0.00091628457,0.00019660764,0.04238636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974657,0.0008337519,0.00014100096,0.000711867,0.00060397625,0.00024369659],"domain_scores_gemma":[0.99708194,0.0016600193,0.0002242867,0.00038957663,0.000395892,0.00024824144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035401932,0.0007633254,0.0014097751,0.002264557,0.002937927,0.0037301322,0.0022868575,0.002071285,0.012467271],"category_scores_gemma":[0.008530317,0.00062294496,0.0014344048,0.0025608148,0.0045584477,0.0112774195,0.003227555,0.003960966,0.0012893535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011227985,0.000015859765,0.00015519916,0.000026825435,0.000005816897,0.000043479322,0.00017787682,0.0014280175,0.00019068462,0.99228066,0.0008820717,0.0047821826],"study_design_scores_gemma":[0.000005382693,0.0000078756175,0.000076976896,0.000008161388,0.0000036430083,0.0000730966,0.000092571405,0.008768648,0.00017962951,0.98726696,0.0035087524,0.000008306467],"about_ca_topic_score_codex":0.002293926,"about_ca_topic_score_gemma":0.0010402878,"teacher_disagreement_score":0.012467271,"about_ca_system_score_codex":0.0022014943,"about_ca_system_score_gemma":0.00091757,"threshold_uncertainty_score":0.041707158},"labels":[],"label_agreement":null},{"id":"W2160501322","doi":"10.1090/s0002-9939-01-06054-3","title":"Complemented subspaces of products of Banach spaces","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Linear subspace; Banach space; Mathematics; Pure mathematics; Business","score_opus":0.03106818140432347,"score_gpt":0.31136542414545254,"score_spread":0.28029724274112905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160501322","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4238796,0.0021910535,0.54476815,0.00030113224,0.00020617351,0.000069101836,0.00048562378,0.00038060476,0.02771853],"genre_scores_gemma":[0.91190237,0.00119035,0.07712918,0.000102118654,0.00013661312,0.00018806693,0.00064715184,0.00013302523,0.008571163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781275,0.00050398585,0.00019139418,0.00042413076,0.00077346805,0.00029424723],"domain_scores_gemma":[0.995596,0.0014874517,0.0006316062,0.00057413627,0.0011791481,0.00053160667],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019799175,0.0009108025,0.000747682,0.0016400566,0.0013075069,0.004200997,0.0009034352,0.0004892696,0.0035620334],"category_scores_gemma":[0.0039710514,0.0006990463,0.0012464527,0.0015077961,0.003553914,0.008350944,0.0041573197,0.0020526727,0.0005793323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065391316,0.000023017405,0.0009568244,0.00013615459,0.000042891137,0.00027216726,0.0009628412,0.001005064,0.0046340083,0.98521346,0.00041657122,0.006271619],"study_design_scores_gemma":[0.000016984006,0.000151921,0.0015060025,0.00009946846,0.00007004683,0.0013526944,0.0010989893,0.016013687,0.011306642,0.95378613,0.014543582,0.000053816235],"about_ca_topic_score_codex":0.0004519239,"about_ca_topic_score_gemma":0.00048330743,"teacher_disagreement_score":0.004200997,"about_ca_system_score_codex":0.0006610416,"about_ca_system_score_gemma":0.00070363673,"threshold_uncertainty_score":0.011916161},"labels":[],"label_agreement":null},{"id":"W2162338737","doi":"10.1090/s0002-9939-2014-12002-8","title":"On commuting and semi-commuting positive operators","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Technical University of Athens; National and Kapodistrian University of Athens","keywords":"Mathematics; Computer science","score_opus":0.012092913611181842,"score_gpt":0.2821710503844296,"score_spread":0.2700781367732477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2162338737","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18226844,0.0016858358,0.6426921,0.0027772372,0.00090897107,0.000101033,0.0006365333,0.0007783214,0.16815162],"genre_scores_gemma":[0.83420783,0.0013843995,0.104634054,0.001231483,0.00073872914,0.00028386991,0.00050728454,0.00061155134,0.056400787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966276,0.0010830429,0.00024761865,0.00070689264,0.0008962712,0.00043853844],"domain_scores_gemma":[0.9947955,0.0026813932,0.00045186153,0.00037810113,0.0012335368,0.0004595967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035280152,0.00095611846,0.00071434316,0.0014818677,0.0015354163,0.0026634322,0.0010966063,0.0011625194,0.012619351],"category_scores_gemma":[0.007314239,0.000563559,0.0016705451,0.0010519265,0.0045886487,0.0064602266,0.0032101457,0.0029329138,0.0020472608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028037066,0.000016435728,0.00011848461,0.00004266361,0.000007246912,0.00010448046,0.00033584196,0.00047055012,0.0008109944,0.9930957,0.0010909558,0.0038786193],"study_design_scores_gemma":[0.0000143741345,0.000034026383,0.00015359996,0.0000202232,0.0000063579682,0.00011585713,0.00015171901,0.007721345,0.0007838127,0.98720944,0.0037739675,0.00001540231],"about_ca_topic_score_codex":0.00170293,"about_ca_topic_score_gemma":0.0012127801,"teacher_disagreement_score":0.012619351,"about_ca_system_score_codex":0.0018929556,"about_ca_system_score_gemma":0.0010133693,"threshold_uncertainty_score":0.042215943},"labels":[],"label_agreement":null},{"id":"W2163613036","doi":"10.1090/s0002-9939-2013-11581-9","title":"The 𝑎-numbers of Jacobians of Suzuki curves","year":2013,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Colorado State University; National Science Foundation","keywords":"Jacobian matrix and determinant; Upper and lower bounds; Invariant (physics); Group (periodic table); Omega; Isomorphism (crystallography); Class (philosophy)","score_opus":0.01262145649048962,"score_gpt":0.2534009137109331,"score_spread":0.24077945722044347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163613036","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27950868,0.0013725017,0.0926932,0.0021212986,0.0012978569,0.00013884451,0.0010236772,0.0011438027,0.6207002],"genre_scores_gemma":[0.7632913,0.0014079101,0.023215696,0.00037829584,0.0009801385,0.00017175918,0.0010606161,0.0006851804,0.2088091],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912375,0.00009153847,0.00004526594,0.00020645912,0.0003293332,0.00020369934],"domain_scores_gemma":[0.99892247,0.00024308804,0.00016951743,0.00010495626,0.0002934526,0.00026656044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006724291,0.0011126668,0.0006210648,0.003543576,0.0019219184,0.0038016038,0.00092672155,0.0007504462,0.032595076],"category_scores_gemma":[0.003122416,0.00050370634,0.00094192824,0.0014831143,0.0031868583,0.0044099144,0.002026116,0.002208618,0.0070529873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004717175,0.00001533923,0.0003585458,0.000060458693,0.000009888057,0.000098274344,0.00035247038,0.0006941526,0.0010709101,0.9770684,0.004822275,0.015402023],"study_design_scores_gemma":[0.000035168217,0.0000725966,0.0022147936,0.000059605616,0.000025090603,0.00036997083,0.0004778868,0.004740012,0.004105109,0.9403664,0.04747297,0.000060329163],"about_ca_topic_score_codex":0.0026079796,"about_ca_topic_score_gemma":0.0023016634,"teacher_disagreement_score":0.032595076,"about_ca_system_score_codex":0.0025230558,"about_ca_system_score_gemma":0.00094112457,"threshold_uncertainty_score":0.10904139},"labels":[],"label_agreement":null},{"id":"W2164527572","doi":"10.1090/s0002-9939-03-07191-0","title":"Control of radii of convergence and extension of subanalytic functions","year":2003,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Extension (predicate logic); Convergence (economics); Mathematics; Computer science; Economics; Programming language","score_opus":0.0210118509149278,"score_gpt":0.25919063396757985,"score_spread":0.23817878305265205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164527572","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17745373,0.001282655,0.64384264,0.0012008327,0.00038891932,0.00014348507,0.00037159177,0.0039381036,0.17137815],"genre_scores_gemma":[0.87816167,0.00076509226,0.080549404,0.00029588558,0.0001890957,0.00026170496,0.00025828945,0.0041456143,0.03537319],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964663,0.0010165611,0.00018084807,0.0008147113,0.0010027727,0.0005188824],"domain_scores_gemma":[0.9900962,0.0047101034,0.00076951366,0.0018172797,0.0016019255,0.0010049625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0048851157,0.0012871326,0.0010438751,0.0029109241,0.0016846491,0.006061002,0.0023602904,0.0014474032,0.011754429],"category_scores_gemma":[0.029182913,0.0007607877,0.0012027582,0.0010116792,0.004125655,0.0075032725,0.006052626,0.002751495,0.003442721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018601165,0.000022588576,0.00039501622,0.00008149809,0.000012664156,0.0000625289,0.00046232314,0.006735341,0.0041827066,0.9668629,0.00259473,0.018401586],"study_design_scores_gemma":[0.00006033473,0.00010568917,0.0008705582,0.00011505035,0.00003627208,0.0002249994,0.0004138317,0.07592765,0.023079813,0.86935574,0.029721618,0.0000885196],"about_ca_topic_score_codex":0.0014708815,"about_ca_topic_score_gemma":0.0010811465,"teacher_disagreement_score":0.011754429,"about_ca_system_score_codex":0.0038537781,"about_ca_system_score_gemma":0.0012021529,"threshold_uncertainty_score":0.039322436},"labels":[],"label_agreement":null},{"id":"W2165139867","doi":"10.1090/s0002-9939-10-10341-4","title":"Roots of unity and nullity modulo 𝑛","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Modulo; Order (exchange); Integer (computer science); Multiplicative function; Dirichlet distribution; Function (biology); Mathematical analysis","score_opus":0.02733583552033581,"score_gpt":0.32405245775209723,"score_spread":0.29671662223176143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165139867","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15140712,0.0032526657,0.2529424,0.0056876033,0.0018353094,0.00010058493,0.000913387,0.0019508076,0.58191013],"genre_scores_gemma":[0.84177226,0.0014134434,0.047168136,0.0008529139,0.0009944635,0.00012481381,0.0005966491,0.00091860903,0.10615875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99833703,0.00032641587,0.00007608959,0.00043038456,0.00045623686,0.00037377287],"domain_scores_gemma":[0.99814034,0.00070445705,0.00022180977,0.0002982219,0.00042697415,0.00020820514],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014614689,0.0011010147,0.00081844424,0.0017914685,0.0022939949,0.0038538203,0.0011281569,0.00074080244,0.019799035],"category_scores_gemma":[0.0068418887,0.00048506173,0.0011134344,0.001213741,0.0047443532,0.0064479867,0.003630432,0.0029092806,0.005295843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004513952,0.000007185424,0.00015708686,0.00004010346,0.0000053705494,0.000060951115,0.00026861878,0.000186274,0.0004359795,0.987212,0.0026027954,0.00897848],"study_design_scores_gemma":[0.00001712474,0.000015552436,0.00018492884,0.000024896159,0.000006758831,0.00011478091,0.00012356862,0.00092471874,0.0009144171,0.97733885,0.020319134,0.000015321995],"about_ca_topic_score_codex":0.0015687764,"about_ca_topic_score_gemma":0.001456633,"teacher_disagreement_score":0.019799035,"about_ca_system_score_codex":0.002485618,"about_ca_system_score_gemma":0.0011987488,"threshold_uncertainty_score":0.06623435},"labels":[],"label_agreement":null},{"id":"W2165375148","doi":"10.1090/s0002-9939-2011-10626-9","title":"On zero-dimensionality and the connected component of locally pseudocompact groups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Manitoba","keywords":"Zero (linguistics); Group (periodic table); Dimension (graph theory); Curse of dimensionality; Closure (psychology); Mathematics; Component (thermodynamics); Topology (electrical circuits); Topological group; Connected component; Combinatorics; Pure mathematics; Physics; Statistics","score_opus":0.029157928688999305,"score_gpt":0.2783300532646092,"score_spread":0.2491721245756099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2165375148","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7616353,0.0014834625,0.1345889,0.0025339413,0.00028490234,0.00008873052,0.00048377147,0.00048522302,0.09841567],"genre_scores_gemma":[0.9738677,0.00046331066,0.013392506,0.0002848101,0.00022075328,0.00007373184,0.00042626122,0.000102790895,0.011168044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986021,0.0003191165,0.00008481767,0.00037227766,0.00041090144,0.0002108672],"domain_scores_gemma":[0.9970118,0.0013640153,0.0003075892,0.000411302,0.00042238538,0.00048284707],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008859707,0.00067004806,0.00084602466,0.0021385918,0.00190724,0.003100021,0.0008879919,0.00092087936,0.0058925766],"category_scores_gemma":[0.0033983805,0.00037741763,0.0009855129,0.0010142714,0.005271286,0.005498563,0.0041345377,0.002050642,0.00088241714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041718442,0.000014236418,0.00033966542,0.00004061287,0.000009159127,0.00010630961,0.0004088597,0.0005590467,0.000835239,0.99484813,0.00047302886,0.0023240803],"study_design_scores_gemma":[0.000023796201,0.000044298955,0.0006388672,0.000017458224,0.0000141407145,0.00019917628,0.000300013,0.0058062305,0.0014084256,0.9869539,0.0045678667,0.000025685602],"about_ca_topic_score_codex":0.0011274049,"about_ca_topic_score_gemma":0.0007754856,"teacher_disagreement_score":0.0058925766,"about_ca_system_score_codex":0.0014266465,"about_ca_system_score_gemma":0.0006021432,"threshold_uncertainty_score":0.019712627},"labels":[],"label_agreement":null},{"id":"W2170027470","doi":"10.1090/proc/13691","title":"About the cohomological dimension of certain stratified varieties","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Stratification (seeds); Mathematics; Upper and lower bounds; Dimension (graph theory); Complement (music); Pure mathematics; Projective test; Variety (cybernetics); Mathematical analysis; Statistics","score_opus":0.058770080359413134,"score_gpt":0.33945767174948327,"score_spread":0.28068759139007016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170027470","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81148195,0.0028917366,0.12055988,0.0025435684,0.00028697282,0.00004482415,0.00046964295,0.00021394117,0.06150739],"genre_scores_gemma":[0.98520005,0.0010630289,0.009695286,0.00016050317,0.00047118077,0.000056194876,0.00033857624,0.0000411216,0.0029739283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985757,0.00025952456,0.00007809407,0.00034013658,0.0003917897,0.00035482444],"domain_scores_gemma":[0.99512273,0.0026727442,0.000548929,0.00044472917,0.00033742024,0.0008735054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024087732,0.0008269445,0.0011024893,0.0060030776,0.003329742,0.005062337,0.0016578513,0.0013927004,0.0077059884],"category_scores_gemma":[0.0067903856,0.0005661551,0.0010578084,0.0026746502,0.0052869255,0.008282628,0.0043165954,0.0039514755,0.000476154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007911984,0.000042932406,0.002844886,0.00011868576,0.00003602338,0.00023081679,0.0006045866,0.0032921818,0.0029974056,0.98059833,0.0011249665,0.008030046],"study_design_scores_gemma":[0.000010951639,0.000029254206,0.0027701992,0.000054274267,0.00003245813,0.0002444396,0.00024755008,0.010165576,0.0016702686,0.9825571,0.0021798168,0.000038003138],"about_ca_topic_score_codex":0.00054757716,"about_ca_topic_score_gemma":0.00049427495,"teacher_disagreement_score":0.0077059884,"about_ca_system_score_codex":0.0018667955,"about_ca_system_score_gemma":0.00046026707,"threshold_uncertainty_score":0.025779068},"labels":[],"label_agreement":null},{"id":"W2171946199","doi":"10.1090/s0002-9939-2010-10535-x","title":"Deterministic thinning of finite Poisson processes","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Microsoft Research","keywords":"Monotonic function; Mathematics; Poisson distribution; Limit (mathematics); Pi; Coupling (piping); Finite set; Gamma function; Function (biology); Fixed point; Mathematical analysis; Combinatorics; Geometry; Statistics","score_opus":0.029375746968733876,"score_gpt":0.30563549655398986,"score_spread":0.276259749585256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2171946199","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62895024,0.00093232683,0.35271263,0.0009853337,0.00008422633,0.00007950811,0.00014738967,0.00020724074,0.01590113],"genre_scores_gemma":[0.972422,0.0005095996,0.021910058,0.00017215798,0.00007665489,0.00011285832,0.00013740968,0.00004806543,0.004611251],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982596,0.0005068946,0.00008543289,0.0003446931,0.0005027255,0.0003005681],"domain_scores_gemma":[0.99089456,0.004563849,0.0020929116,0.00065852463,0.0008297258,0.0009604124],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004551646,0.00066150445,0.0010711852,0.002132485,0.0009938697,0.002326734,0.0024419483,0.0011760102,0.002946405],"category_scores_gemma":[0.013663865,0.0008055542,0.0009940682,0.0010705614,0.0032389774,0.0030064103,0.0025405406,0.0020494363,0.00035048235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014036433,0.000052008207,0.0046765646,0.00008414878,0.000060977618,0.00033003584,0.00033010513,0.055277776,0.0062063434,0.9259079,0.0005476076,0.006386214],"study_design_scores_gemma":[0.00006558147,0.000071301954,0.0045129857,0.00004871882,0.00005814226,0.00037658997,0.00019213957,0.54716325,0.002729785,0.44295037,0.001773584,0.00005763068],"about_ca_topic_score_codex":0.002960652,"about_ca_topic_score_gemma":0.0019412792,"teacher_disagreement_score":0.004551646,"about_ca_system_score_codex":0.0025618456,"about_ca_system_score_gemma":0.00087155873,"threshold_uncertainty_score":0.024071693},"labels":[],"label_agreement":null},{"id":"W2172381877","doi":"10.1090/proc/13297","title":"Transcendence tests for Mahler functions","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Transcendence (philosophy); Eigenvalues and eigenvectors; Rank (graph theory); Mathematics; Lambda; Pure mathematics; Matrix (chemical analysis); Function (biology); Combinatorics; Physics; Philosophy; Quantum mechanics; Theology","score_opus":0.022991557692708768,"score_gpt":0.27299402095358244,"score_spread":0.25000246326087366,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2172381877","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24667023,0.0014782954,0.47015795,0.0037808956,0.0020086267,0.00023071373,0.0008678355,0.0031130386,0.2716924],"genre_scores_gemma":[0.94166017,0.0005402774,0.031481728,0.0011454761,0.0011543216,0.00020209054,0.0007998547,0.0009664887,0.022049636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9917753,0.001419677,0.0006697751,0.0017029116,0.0030999654,0.0013323721],"domain_scores_gemma":[0.9653927,0.018622044,0.0017648351,0.0039467993,0.0077906055,0.002483055],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004650009,0.0018319591,0.0014936869,0.007633102,0.0019296583,0.0048134835,0.0028619447,0.0026434613,0.025965521],"category_scores_gemma":[0.040679123,0.00053241674,0.0033513901,0.0024384325,0.00896332,0.013030348,0.007338976,0.00715768,0.004294139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002465494,0.000078509074,0.0014129161,0.0001290063,0.00003446793,0.0004853839,0.000469775,0.0009918521,0.0020944101,0.9648738,0.0029980605,0.026185246],"study_design_scores_gemma":[0.000035443187,0.00018034983,0.0006013955,0.00005670983,0.000030204712,0.00061888515,0.00029361658,0.005588619,0.008110373,0.97715944,0.0072505698,0.000074361895],"about_ca_topic_score_codex":0.0009146921,"about_ca_topic_score_gemma":0.00041228373,"teacher_disagreement_score":0.025965521,"about_ca_system_score_codex":0.0026107845,"about_ca_system_score_gemma":0.0008558937,"threshold_uncertainty_score":0.08686328},"labels":[],"label_agreement":null},{"id":"W2181029891","doi":"10.1090/proc/12986","title":"Reverse Hölder’s inequality for spherical harmonics","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Spherical harmonics; Inequality; Harmonics; Spin-weighted spherical harmonics; Mathematics; Mathematical analysis; Physics","score_opus":0.16285067922963672,"score_gpt":0.3866896797264902,"score_spread":0.22383900049685349,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2181029891","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08901864,0.005198229,0.67133456,0.008842928,0.001766129,0.00010162682,0.0009044693,0.0008863335,0.22194709],"genre_scores_gemma":[0.8125902,0.0057257344,0.0840892,0.0032099017,0.0023197995,0.00024791615,0.0015251961,0.0019531904,0.08833883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972428,0.00074254157,0.00015238827,0.0004893041,0.00079157465,0.00058136124],"domain_scores_gemma":[0.98555785,0.008825842,0.00087955635,0.0009367097,0.002629446,0.0011705981],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0051080873,0.0016239841,0.0012352731,0.002914059,0.0012691807,0.0032423155,0.0020303987,0.0014642453,0.022231989],"category_scores_gemma":[0.029691247,0.00064066437,0.002079541,0.0011178992,0.0035432645,0.0077587585,0.0035738423,0.0056411913,0.0050593554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012645585,0.000023115772,0.0011665585,0.0002095775,0.00003021857,0.00023837143,0.0002763164,0.0029897194,0.0036773826,0.9685921,0.0057767066,0.01689364],"study_design_scores_gemma":[0.000025792911,0.000097494165,0.0023215734,0.00013435232,0.000054461303,0.00050472264,0.00024339894,0.090879105,0.0048625832,0.8858206,0.014969014,0.0000867955],"about_ca_topic_score_codex":0.0036125584,"about_ca_topic_score_gemma":0.0021087253,"teacher_disagreement_score":0.022231989,"about_ca_system_score_codex":0.00265469,"about_ca_system_score_gemma":0.0011613148,"threshold_uncertainty_score":0.074373424},"labels":[],"label_agreement":null},{"id":"W2229891668","doi":"10.1090/proc/13146","title":"Weyl modules for Lie superalgebras","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Tensor product; Unital; Commutative property; Superalgebra; Associative property; Lie superalgebra; Tensor (intrinsic definition); Product (mathematics)","score_opus":0.02838559011524024,"score_gpt":0.2963742623234643,"score_spread":0.2679886722082241,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2229891668","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22577685,0.0020863393,0.38619787,0.0027758721,0.00091669767,0.00024927253,0.0010368276,0.002208758,0.37875143],"genre_scores_gemma":[0.7937618,0.0012356618,0.058050435,0.0010191698,0.0006915931,0.00033401742,0.00085073174,0.0009060242,0.14315064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889416,0.00025410313,0.000057944682,0.00019065326,0.0003435865,0.0002595598],"domain_scores_gemma":[0.999348,0.0000707176,0.00008742665,0.0000832658,0.00022668834,0.00018383045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010814896,0.0009325645,0.00056345726,0.0022022799,0.0014791864,0.002178785,0.0006738748,0.00061512383,0.0139137525],"category_scores_gemma":[0.001000269,0.0003573912,0.0010721914,0.0010702586,0.0024767653,0.00406316,0.002646611,0.0017474572,0.0043702237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009753952,0.000011092993,0.00010038141,0.000029036422,0.0000065695485,0.00006279265,0.00049525773,0.00031935362,0.0012461363,0.9908771,0.0014527645,0.005389787],"study_design_scores_gemma":[0.000010922042,0.000031674914,0.00035391247,0.00002245186,0.000010214822,0.000114756855,0.00036056733,0.00217766,0.0021326279,0.969455,0.02530622,0.000024009056],"about_ca_topic_score_codex":0.0014829731,"about_ca_topic_score_gemma":0.0014138045,"teacher_disagreement_score":0.0139137525,"about_ca_system_score_codex":0.001172809,"about_ca_system_score_gemma":0.0006793432,"threshold_uncertainty_score":0.04654616},"labels":[],"label_agreement":null},{"id":"W2249089768","doi":"10.1090/proc/13141","title":"The non-symmetric Wilson polynomials are the Bannai–Ito polynomials","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Orthogonal polynomials; Orthogonality; Mathematics; Isomorphism (crystallography); Algebra over a field; Pure mathematics; Degenerate energy levels; Physics; Quantum mechanics; Chemistry; Geometry","score_opus":0.030131942616793157,"score_gpt":0.29745487821101646,"score_spread":0.2673229355942233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2249089768","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33762386,0.001098003,0.22135924,0.0013608244,0.0015491828,0.00016267509,0.00047276454,0.0015577635,0.4348157],"genre_scores_gemma":[0.89431226,0.0006596143,0.024379447,0.00029686737,0.00029635365,0.00006175831,0.0002730414,0.00037291693,0.07934774],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994417,0.0000983168,0.00002475854,0.00010962928,0.0001836509,0.00014201649],"domain_scores_gemma":[0.9996474,0.000037015707,0.00007360561,0.000061211016,0.00009582976,0.00008490662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036305166,0.00068614463,0.00050352846,0.0016014932,0.0014571879,0.002253321,0.00065482204,0.0005491878,0.015934212],"category_scores_gemma":[0.0012203081,0.00032118906,0.0007658792,0.0014921828,0.002523219,0.0029545675,0.0012333913,0.0016412243,0.0036671911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004690684,0.000019544617,0.00013365406,0.000033048247,0.000004499418,0.00011173075,0.00014781057,0.00037184972,0.002216241,0.98374104,0.0015840286,0.011589537],"study_design_scores_gemma":[0.00002421792,0.000042598323,0.00085255655,0.000026328595,0.000013710829,0.0004947997,0.00024438644,0.008444373,0.006250588,0.9627113,0.020842433,0.000052828036],"about_ca_topic_score_codex":0.0016366608,"about_ca_topic_score_gemma":0.0016702892,"teacher_disagreement_score":0.015934212,"about_ca_system_score_codex":0.00088465307,"about_ca_system_score_gemma":0.000953628,"threshold_uncertainty_score":0.05330521},"labels":[],"label_agreement":null},{"id":"W2256925113","doi":"10.1090/proc/13440","title":"Mean proximality and mean Li-Yorke chaos","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Narodowe Centrum Nauki; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología; National Natural Science Foundation of China","keywords":"Ergodic theory; Chaotic; Transitive relation; Mathematics; Measure (data warehouse); Periodic point; CHAOS (operating system); Periodic orbits; Point (geometry); Dynamical systems theory; Pure mathematics; Statistical physics; Topology (electrical circuits); Combinatorics; Mathematical analysis; Physics; Computer science; Geometry; Quantum mechanics; Artificial intelligence","score_opus":0.029452095205127923,"score_gpt":0.297762188729706,"score_spread":0.2683100935245781,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2256925113","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7511243,0.0005000036,0.22283748,0.00063772954,0.000050539067,0.000050047678,0.00011937336,0.00013931771,0.024541225],"genre_scores_gemma":[0.9916505,0.00011858578,0.0063391854,0.00003850442,0.000025249548,0.000019930427,0.00002764362,0.000008975126,0.00177134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994949,0.00007882576,0.000024018591,0.00014302238,0.00015618834,0.0001028994],"domain_scores_gemma":[0.99869674,0.0003568678,0.00033753394,0.00020768662,0.00016614707,0.00023501184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005786008,0.00035944505,0.0005776798,0.0010302298,0.00078175263,0.0012213064,0.00047115082,0.0005484241,0.001896428],"category_scores_gemma":[0.002602752,0.00027027808,0.00062179414,0.00045943572,0.0025755211,0.0017281512,0.0031883854,0.0011098582,0.00024398144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012227065,0.000027091211,0.005317441,0.000127053,0.00006066757,0.0006218598,0.001196299,0.018632187,0.020863136,0.9434974,0.00059184304,0.008942634],"study_design_scores_gemma":[0.00003538836,0.00020799112,0.0057692146,0.000026139618,0.00005826124,0.0016002909,0.0003811211,0.11422281,0.012650992,0.8592934,0.0056817676,0.00007269597],"about_ca_topic_score_codex":0.00032624195,"about_ca_topic_score_gemma":0.00022394228,"teacher_disagreement_score":0.001896428,"about_ca_system_score_codex":0.0005939498,"about_ca_system_score_gemma":0.0003684846,"threshold_uncertainty_score":0.006344199},"labels":[],"label_agreement":null},{"id":"W2259221382","doi":"10.1090/proc/13082","title":"Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; King Saud University; Centre de Recherches Mathématiques","keywords":"Algebra over a field; Mathematics; Quadratic equation; Operator (biology); Basic hypergeometric series; Jacobi polynomials; Pure mathematics; Hypergeometric function; Orthogonal polynomials; Chemistry","score_opus":0.02217798045575052,"score_gpt":0.2774662201948056,"score_spread":0.25528823973905507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2259221382","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45872432,0.0026777328,0.30157888,0.0022220227,0.0006549965,0.000087495675,0.0001648769,0.0003951666,0.23349448],"genre_scores_gemma":[0.9509808,0.0009303569,0.022658104,0.00028446974,0.0003701053,0.000049968938,0.00009110453,0.00007930388,0.024555808],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994475,0.0001667474,0.000022372342,0.000075747186,0.00018148674,0.000106140906],"domain_scores_gemma":[0.9994248,0.000100087724,0.00012744845,0.00009524379,0.00015674379,0.00009558465],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00074953464,0.00035142954,0.00038831998,0.0012668365,0.0010384886,0.0014454088,0.00062172755,0.00049162016,0.0056584026],"category_scores_gemma":[0.0016478003,0.00018073128,0.00041745006,0.0009102026,0.0024643652,0.0021428578,0.0010486495,0.0010770931,0.0008365633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000072191647,0.000008517554,0.000054116892,0.000010489108,0.0000020748569,0.000061079845,0.000073042094,0.0011482601,0.0007396846,0.99517524,0.00048744262,0.0022327988],"study_design_scores_gemma":[0.000004403811,0.000014915758,0.00017496267,0.000009784399,0.0000022722534,0.0001590562,0.000094120296,0.019281162,0.00080648396,0.9767513,0.0026876174,0.000013831205],"about_ca_topic_score_codex":0.0012734381,"about_ca_topic_score_gemma":0.0011133654,"teacher_disagreement_score":0.0056584026,"about_ca_system_score_codex":0.00080356275,"about_ca_system_score_gemma":0.0008697954,"threshold_uncertainty_score":0.018929183},"labels":[],"label_agreement":null},{"id":"W2262378339","doi":"10.1090/proc/13148","title":"Courant-sharp eigenvalues of the three-dimensional square torus","year":2016,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"European Research Council; Agence Nationale de la Recherche; Centre de Recherches Mathématiques","keywords":"Isoperimetric inequality; Torus; Mathematics; Eigenfunction; Eigenvalues and eigenvectors; Isoperimetric dimension; Square (algebra); Laplace operator; Pure mathematics; Combinatorics; Function (biology); Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.02744872042746078,"score_gpt":0.2884102992918713,"score_spread":0.2609615788644105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2262378339","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6483767,0.0012217383,0.16537733,0.002381244,0.0012277178,0.00010573837,0.00037168124,0.0010226788,0.17991513],"genre_scores_gemma":[0.9601065,0.00046223114,0.01089553,0.00025682824,0.00036434003,0.00006069051,0.00018029037,0.00027341757,0.02740015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996766,0.00006636988,0.000011336156,0.00006226163,0.00009573053,0.000087825414],"domain_scores_gemma":[0.99937904,0.00013019699,0.000099483914,0.0000491358,0.0001242865,0.00021791708],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037116156,0.00090673723,0.0005678104,0.0016911059,0.0011971416,0.0022463377,0.0009552203,0.00096610235,0.010633522],"category_scores_gemma":[0.0017525444,0.0002611983,0.000608042,0.00055748754,0.0024823865,0.0025491284,0.0012245971,0.0012622656,0.0020393198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000067653345,0.00002830841,0.00039156037,0.000091373615,0.000011954605,0.0004049258,0.00035880494,0.0096266,0.0025306826,0.97863424,0.0036705602,0.0041832374],"study_design_scores_gemma":[0.000032878663,0.000056376062,0.0008156742,0.000030208701,0.000009076855,0.00043657163,0.00043986924,0.10674453,0.0013296455,0.88589895,0.004142527,0.00006373148],"about_ca_topic_score_codex":0.002341521,"about_ca_topic_score_gemma":0.0014125213,"teacher_disagreement_score":0.010633522,"about_ca_system_score_codex":0.0010303623,"about_ca_system_score_gemma":0.0007035764,"threshold_uncertainty_score":0.035572708},"labels":[],"label_agreement":null},{"id":"W2266862415","doi":"10.1090/proc/13276","title":"An isomorphism lemma for graded rings","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Isomorphism (crystallography); Mathematics; Finitely-generated abelian group; Lemma (botany); Pure mathematics; Degree (music); Algebra over a field; Combinatorics; Discrete mathematics; Physics; Chemistry; Crystallography","score_opus":0.047720763046362635,"score_gpt":0.3418693362222205,"score_spread":0.29414857317585785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2266862415","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07487446,0.003899624,0.3381049,0.006481544,0.002053457,0.00025032286,0.0019725966,0.0029811421,0.56938195],"genre_scores_gemma":[0.7947959,0.00402534,0.07414831,0.0036033655,0.001758157,0.00050244184,0.003297095,0.0015799506,0.11628947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9973992,0.00062066875,0.00021346522,0.0006496661,0.00060974,0.0005073085],"domain_scores_gemma":[0.9975172,0.0011086314,0.00014994839,0.0003451289,0.00066687755,0.00021225231],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017965535,0.00060518767,0.000781737,0.0022130231,0.0020717809,0.0042177723,0.0009077992,0.0010079205,0.025671208],"category_scores_gemma":[0.004708692,0.00060266105,0.001796716,0.0016364105,0.0033108771,0.011599368,0.005066133,0.003387812,0.0051190085],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038054506,0.000028494303,0.00030926045,0.00011324242,0.000019863,0.00018938456,0.0005386353,0.0001313089,0.0011034711,0.97959715,0.006497554,0.01143347],"study_design_scores_gemma":[0.000033201955,0.000045065477,0.00095742,0.000057514757,0.000049780952,0.0005989296,0.0005658512,0.0012452648,0.0028944146,0.91853225,0.074987665,0.000032538042],"about_ca_topic_score_codex":0.0012121514,"about_ca_topic_score_gemma":0.0008874163,"teacher_disagreement_score":0.025671208,"about_ca_system_score_codex":0.0015258756,"about_ca_system_score_gemma":0.0009713832,"threshold_uncertainty_score":0.08587879},"labels":[],"label_agreement":null},{"id":"W2273440511","doi":"10.1090/proc/12955","title":"On mapping theorems for numerical range","year":2015,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator 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":"Université Laval; Center for Northern Studies","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Numerical range; Elementary proof; Mathematics; Hilbert space; Combinatorics; RADIUS; Norm (philosophy); Mathematical analysis; Law; Computer science","score_opus":0.047279431758499364,"score_gpt":0.3003628435549919,"score_spread":0.2530834117964925,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2273440511","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.028102102,0.0059259785,0.7232597,0.0074959486,0.0015524346,0.00009745041,0.0010348982,0.0018877828,0.23064375],"genre_scores_gemma":[0.60950285,0.0079935,0.2670068,0.007171575,0.0029465,0.00059390493,0.0026944727,0.0030497045,0.099040605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962818,0.0014074452,0.0003003599,0.00075296254,0.0008811427,0.00037625816],"domain_scores_gemma":[0.9928504,0.0046145567,0.00025088165,0.0008090423,0.0012133702,0.00026171544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005089295,0.0013162914,0.0010192698,0.003703329,0.0020810072,0.004032472,0.0016636036,0.0018247442,0.018097188],"category_scores_gemma":[0.013626564,0.00064357056,0.0030292082,0.0023233737,0.0040956517,0.016478535,0.0056059225,0.006034022,0.0044907415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016408587,0.000012427216,0.00013810757,0.00007289065,0.000011177761,0.000073919146,0.000284631,0.00044889655,0.00032959445,0.98619384,0.0035178426,0.008900188],"study_design_scores_gemma":[0.000009369287,0.00001732859,0.00014570671,0.000039732546,0.000010315411,0.00010328321,0.00012483666,0.0030113622,0.00054074,0.9804273,0.015557531,0.000012433579],"about_ca_topic_score_codex":0.002018133,"about_ca_topic_score_gemma":0.001343399,"teacher_disagreement_score":0.018097188,"about_ca_system_score_codex":0.0031468137,"about_ca_system_score_gemma":0.0010611573,"threshold_uncertainty_score":0.060541153},"labels":[],"label_agreement":null},{"id":"W2277870325","doi":"10.1090/proc/13251","title":"Open Whitney umbrellas are locally polynomially convex","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Regular polygon; Mathematics; Geology; Geometry","score_opus":0.050295771037770526,"score_gpt":0.3574801261706578,"score_spread":0.3071843551328872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2277870325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5398717,0.0010109642,0.2621002,0.0016477313,0.00045258083,0.000094146206,0.00092282693,0.0010900148,0.19280994],"genre_scores_gemma":[0.91701996,0.00044493098,0.025312826,0.00024157764,0.0002499431,0.00007003289,0.00090168795,0.00043795278,0.055321097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901116,0.00012516002,0.00004966751,0.00023587521,0.0003433051,0.00023477622],"domain_scores_gemma":[0.9984572,0.00040866324,0.0002534775,0.00012380647,0.00035433634,0.00040251444],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006111457,0.0012356745,0.0007802931,0.0026098345,0.0024456738,0.0033815743,0.0011012366,0.0007744273,0.013862319],"category_scores_gemma":[0.0036522523,0.000533238,0.0011468262,0.000993405,0.0035212059,0.004397947,0.003306287,0.0027100812,0.0026085642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015171793,0.000022451053,0.00062380015,0.000060970182,0.000018385983,0.0002938701,0.00032492552,0.002901722,0.0026679805,0.9827256,0.0023250077,0.007883577],"study_design_scores_gemma":[0.000027607512,0.00008567336,0.0016982207,0.0000499774,0.000037121354,0.00043474179,0.00065826264,0.042204045,0.0045465254,0.93548715,0.014717922,0.00005284156],"about_ca_topic_score_codex":0.0050435234,"about_ca_topic_score_gemma":0.005047756,"teacher_disagreement_score":0.013862319,"about_ca_system_score_codex":0.0024486643,"about_ca_system_score_gemma":0.00061520125,"threshold_uncertainty_score":0.046374083},"labels":[],"label_agreement":null},{"id":"W2289110145","doi":"10.1090/proc/12980","title":"The relative 𝑝-affine capacity","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics","score_opus":0.040480614121912964,"score_gpt":0.2886259638178618,"score_spread":0.24814534969594887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2289110145","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1833807,0.0015949225,0.5550545,0.0026814835,0.00079886336,0.00011370668,0.00094143115,0.0006614496,0.25477302],"genre_scores_gemma":[0.902854,0.001341545,0.03528654,0.00058708346,0.0005903072,0.00012782954,0.0006589266,0.00040014737,0.058153577],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842846,0.00027201403,0.000098029785,0.00039545493,0.0005316951,0.00027432296],"domain_scores_gemma":[0.9982595,0.00050162006,0.00024543446,0.00022697113,0.00052538014,0.0002411857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011371527,0.00077765936,0.0005311741,0.0015363055,0.0012540204,0.0030294647,0.0012313513,0.0010110751,0.014074726],"category_scores_gemma":[0.0047751814,0.00036195182,0.001039062,0.0011378439,0.003179934,0.006801393,0.0030539713,0.0020739194,0.002099694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000063477028,0.0000035924463,0.000055789806,0.00001887967,0.0000026765522,0.000024439843,0.00004818192,0.0007686643,0.00039440955,0.9952898,0.0005695574,0.0028177127],"study_design_scores_gemma":[0.0000050769268,0.000035650246,0.00023392437,0.000024048959,0.000007933917,0.0001817976,0.00011232338,0.016214984,0.0012976702,0.9702331,0.011624572,0.000029036924],"about_ca_topic_score_codex":0.0017501643,"about_ca_topic_score_gemma":0.000857707,"teacher_disagreement_score":0.014074726,"about_ca_system_score_codex":0.0017230879,"about_ca_system_score_gemma":0.0008967744,"threshold_uncertainty_score":0.04708463},"labels":[],"label_agreement":null},{"id":"W2290767110","doi":"10.1090/proc/13324","title":"Davies’ method for anomalous diffusions","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"National Science Foundation","keywords":"Heat kernel; Diagonal; Singularity; Mathematics; Cutoff; Gaussian; Kernel (algebra); Sobolev space; Upper and lower bounds; Energy (signal processing); Computation; Perturbation (astronomy); Applied mathematics; Pure mathematics; Mathematical analysis; Statistical physics; Physics; Algorithm; Geometry; Quantum mechanics; Statistics","score_opus":0.032354377478787305,"score_gpt":0.33356852912300766,"score_spread":0.3012141516442204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2290767110","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011735029,0.0009901884,0.9597507,0.0008636289,0.00058599457,0.00007141674,0.00020007878,0.00025965658,0.025543252],"genre_scores_gemma":[0.38668996,0.0029165065,0.5240586,0.0015834881,0.001233537,0.00047766653,0.00051966147,0.0014536994,0.08106695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985671,0.0005887088,0.00007624334,0.00020844418,0.00041925485,0.00014025798],"domain_scores_gemma":[0.99704,0.0012586551,0.0002129082,0.00058477465,0.00061128126,0.00029244297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028605121,0.0009924826,0.00081707945,0.0029915173,0.0009216501,0.0016294321,0.0015114804,0.0011498218,0.00805672],"category_scores_gemma":[0.007562092,0.0004812007,0.0014685219,0.0010064599,0.0022235962,0.0029364494,0.0037182183,0.0034310143,0.0027807888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043212727,0.00001680248,0.000186836,0.00007664634,0.000023214016,0.000088170105,0.00016922034,0.005347295,0.0039109746,0.97290254,0.0033674145,0.013867667],"study_design_scores_gemma":[0.000018667912,0.000046811772,0.000348117,0.000043318756,0.00002393229,0.00021981023,0.00006046304,0.17657708,0.0041771075,0.78537613,0.03306067,0.000047905156],"about_ca_topic_score_codex":0.0011634999,"about_ca_topic_score_gemma":0.0008855707,"teacher_disagreement_score":0.00805672,"about_ca_system_score_codex":0.0014326703,"about_ca_system_score_gemma":0.00097165385,"threshold_uncertainty_score":0.026952446},"labels":[],"label_agreement":null},{"id":"W2291028341","doi":"10.1090/proc/13167","title":"Some remarks related to Maeda’s conjecture","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.011324171157887168,"score_gpt":0.2822183097775261,"score_spread":0.27089413861963896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2291028341","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16480282,0.009845349,0.1647337,0.07717771,0.010085681,0.00011281991,0.0014318044,0.0017923594,0.57001776],"genre_scores_gemma":[0.80930036,0.004170353,0.0400116,0.010264616,0.010420361,0.00023978497,0.0012061947,0.00074239325,0.123644255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978885,0.0005400906,0.00010530879,0.0005519678,0.00055862684,0.00035558603],"domain_scores_gemma":[0.99589145,0.0019704953,0.00028726546,0.0008313416,0.00062299386,0.00039635037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026232232,0.0010320963,0.0014202625,0.0021757777,0.0032834902,0.0036004542,0.0021803747,0.0025100089,0.03002064],"category_scores_gemma":[0.011327513,0.00048731593,0.0014875719,0.0020890387,0.004137024,0.00871821,0.0032923974,0.0046670847,0.003352209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008776595,0.000039270606,0.00089468516,0.0001258277,0.000020438807,0.0001451988,0.0002932104,0.001175172,0.00032992102,0.9625537,0.019717209,0.014617779],"study_design_scores_gemma":[0.000013049502,0.000015287858,0.0005208868,0.000025508589,0.00000896821,0.0000664346,0.0001081965,0.0032070822,0.00015530051,0.9846747,0.0111923115,0.000012374653],"about_ca_topic_score_codex":0.0022807622,"about_ca_topic_score_gemma":0.0018072383,"teacher_disagreement_score":0.03002064,"about_ca_system_score_codex":0.0020464133,"about_ca_system_score_gemma":0.0008051014,"threshold_uncertainty_score":0.100429},"labels":[],"label_agreement":null},{"id":"W2291480824","doi":"10.1090/proc/13137","title":"The Calkin algebra is not countably homogeneous","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous; Unitary state; Mathematics; Countable set; Algebra over a field; Component (thermodynamics); Pure mathematics; Combinatorics; Physics","score_opus":0.032458942700111404,"score_gpt":0.3325989271180031,"score_spread":0.3001399844178917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2291480824","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78546613,0.00069241447,0.12429575,0.0016620285,0.0002495432,0.0000830546,0.00040255784,0.0002781709,0.08687027],"genre_scores_gemma":[0.9874536,0.00023288725,0.005259692,0.00015841839,0.00018596134,0.000041598778,0.00024293583,0.0000512329,0.0063736425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883,0.000187519,0.00007244755,0.00031877653,0.0003325539,0.00025871085],"domain_scores_gemma":[0.9983485,0.0005520624,0.00030733173,0.0002449872,0.00028201213,0.000265141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007971248,0.000557614,0.0010347541,0.0015708423,0.0022542377,0.0038068714,0.0011582904,0.00079201406,0.0056166025],"category_scores_gemma":[0.002481841,0.00036482234,0.0007147987,0.0012856513,0.00379329,0.0068983673,0.0023636501,0.001576332,0.00059774827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002106925,0.000010706416,0.00016870187,0.00002581306,0.000007734538,0.000054011813,0.000112870744,0.00023439925,0.0009616507,0.9971551,0.00028285355,0.0009652456],"study_design_scores_gemma":[0.000015087387,0.000019391071,0.00021803103,0.000006858959,0.000020567648,0.000100692516,0.00013036323,0.0034138102,0.0023542016,0.99159056,0.0021187472,0.00001164716],"about_ca_topic_score_codex":0.00091870554,"about_ca_topic_score_gemma":0.0007281396,"teacher_disagreement_score":0.0056166025,"about_ca_system_score_codex":0.0012949477,"about_ca_system_score_gemma":0.00062159216,"threshold_uncertainty_score":0.01878941},"labels":[],"label_agreement":null},{"id":"W2335361557","doi":"10.1090/proc/13006","title":"Erratum to “Some hyperbolic three-manifolds that bound geometrically”","year":2016,"lang":"en","type":"erratum","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mistake; Upper and lower bounds; Mathematics; Pure mathematics; Mathematical analysis; Law; Political science","score_opus":0.03032572072446591,"score_gpt":0.28433217110298586,"score_spread":0.25400645037851993,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2335361557","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00067028386,0.0016545681,0.0029685488,0.13274819,0.84786034,0.000024746343,0.0006761697,0.00047340474,0.012923855],"genre_scores_gemma":[0.03930816,0.009949701,0.013429722,0.2572298,0.38371888,0.00022659704,0.003594408,0.0026643025,0.28987843],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99689674,0.0004901803,0.0004900132,0.00047511538,0.0013851775,0.00026282467],"domain_scores_gemma":[0.99245477,0.002111699,0.0006910511,0.00068303064,0.0035556168,0.0005039019],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024955678,0.0021477563,0.0011536649,0.002159402,0.0053593908,0.0026616114,0.0028249947,0.0053939275,0.033160694],"category_scores_gemma":[0.026292095,0.0008007052,0.0012970534,0.0015275002,0.0041481284,0.0043264767,0.0025295925,0.009207055,0.022511153],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025569012,0.000005663503,0.000049452607,0.00005317054,0.0000051463417,0.00017960518,0.000056497334,0.000050673738,0.00010099054,0.0052447147,0.9906661,0.0035624898],"study_design_scores_gemma":[0.000019988885,0.000026605207,0.0004004256,0.00019238959,0.000024892517,0.0006585524,0.00012616688,0.00028132382,0.0005726349,0.007839164,0.9898205,0.000037431684],"about_ca_topic_score_codex":0.0059482884,"about_ca_topic_score_gemma":0.0064663566,"teacher_disagreement_score":0.033160694,"about_ca_system_score_codex":0.0030768802,"about_ca_system_score_gemma":0.0027932196,"threshold_uncertainty_score":0.11093354},"labels":[],"label_agreement":null},{"id":"W2337626550","doi":"10.1090/proc/13039","title":"Completely bounded Λ_{𝑝} sets that are not Sidon","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo; Natural Sciences and Engineering Research Council of Canada; Indian Institute of Technology Kanpur","keywords":"Bounded function; Mathematics; Computer science; Mathematical analysis","score_opus":0.050709068356941625,"score_gpt":0.3105791554098938,"score_spread":0.25987008705295217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2337626550","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44266945,0.0009093589,0.3640773,0.0015433455,0.00070750574,0.00010439538,0.0009012426,0.0016550372,0.18743247],"genre_scores_gemma":[0.9121213,0.00023525966,0.056575444,0.00042896974,0.0000920828,0.00016571317,0.0012160362,0.00034972397,0.028815512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998334,0.00025322422,0.0001370654,0.00035922197,0.0006630961,0.0002532986],"domain_scores_gemma":[0.9977912,0.0009998595,0.00018017554,0.0003191159,0.00052545074,0.0001841695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086247583,0.0007431634,0.00064579264,0.0010335417,0.0025505559,0.002733863,0.0010200746,0.0007347489,0.0074228263],"category_scores_gemma":[0.003917867,0.0005988671,0.0011032295,0.0007805831,0.0031549206,0.004508988,0.003138808,0.0013667054,0.0009283357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000070831025,0.000015972306,0.00067812187,0.00006923841,0.0000143770685,0.00022721766,0.00035371011,0.00070543686,0.0014722054,0.989465,0.0011962326,0.0057316977],"study_design_scores_gemma":[0.000032764357,0.000045240387,0.0008295045,0.000054903576,0.000032367694,0.0004186988,0.0006056995,0.007286307,0.0067741997,0.9573064,0.02658099,0.000033036576],"about_ca_topic_score_codex":0.0018875703,"about_ca_topic_score_gemma":0.0021822606,"teacher_disagreement_score":0.0074228263,"about_ca_system_score_codex":0.002114369,"about_ca_system_score_gemma":0.0008324499,"threshold_uncertainty_score":0.024831831},"labels":[],"label_agreement":null},{"id":"W2337888084","doi":"10.1090/proc/13573","title":"Convex floating bodies as approximations of Bergman sublevel sets on tube domains","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Regular polygon; Diagonal; Pseudoconvex function; Mathematics; Bergman kernel; Invariant (physics); Affine transformation; Base (topology); Domain (mathematical analysis); Kernel (algebra); Pure mathematics; Geometry; Convex set; Mathematical analysis; Convex optimization","score_opus":0.048925601116244284,"score_gpt":0.33124029703537744,"score_spread":0.28231469591913316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2337888084","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51097566,0.0005552888,0.45681512,0.00044714383,0.0001104717,0.00006926149,0.0003635224,0.00026657814,0.030396966],"genre_scores_gemma":[0.9272696,0.00048532136,0.056091916,0.00012014689,0.000113916285,0.0001000306,0.0005172397,0.0002034833,0.01509833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99960154,0.000063989486,0.00001925352,0.00007039421,0.00016294228,0.00008191994],"domain_scores_gemma":[0.99887127,0.0003451045,0.00022324234,0.000090780304,0.00018816629,0.0002813717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065686,0.0008001049,0.0007004054,0.0024857824,0.00090214185,0.0029566134,0.0011466941,0.0008055818,0.0046751145],"category_scores_gemma":[0.003222365,0.00045417284,0.0007776764,0.000608402,0.0023737508,0.0030320685,0.0026685265,0.0024005899,0.000677121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004207824,0.000023954019,0.0008405149,0.000062248124,0.000016690226,0.00015442717,0.00037578482,0.012396023,0.0036929615,0.977375,0.00071857334,0.004301758],"study_design_scores_gemma":[0.000019868157,0.00008494369,0.0028054768,0.0000870164,0.000022698823,0.00030397958,0.000506773,0.24912964,0.003172315,0.738803,0.00502367,0.000040682375],"about_ca_topic_score_codex":0.0015034283,"about_ca_topic_score_gemma":0.0014835529,"teacher_disagreement_score":0.0046751145,"about_ca_system_score_codex":0.0015549421,"about_ca_system_score_gemma":0.00039352512,"threshold_uncertainty_score":0.015639842},"labels":[],"label_agreement":null},{"id":"W2341883566","doi":"10.1090/proc/13457","title":"On the volume of sections of a convex body by cones","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Intersection (aeronautics); Convex body; Regular polygon; Centroid; Mixed volume; Volume (thermodynamics); Mathematics; Combinatorics; Convex set; Pure mathematics; Convex geometry; Geometry; Convex hull; Convex optimization; Physics; Geography; Cartography","score_opus":0.029718820073632652,"score_gpt":0.29391084249138194,"score_spread":0.2641920224177493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2341883566","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43195838,0.0025088792,0.48236936,0.0015963672,0.000230839,0.00007331281,0.0006652808,0.0003122388,0.08028534],"genre_scores_gemma":[0.93838394,0.0022000787,0.038401023,0.00029257045,0.0005458729,0.000121005134,0.0007305607,0.00048031317,0.018844573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990189,0.00023725211,0.000030100635,0.00021405732,0.00032989617,0.00016972015],"domain_scores_gemma":[0.9947461,0.0026769855,0.00079996727,0.00031423412,0.0007840364,0.0006786765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001756218,0.0010245816,0.00094720826,0.0035954642,0.0010447571,0.0027422898,0.0016798394,0.0006391287,0.0065455935],"category_scores_gemma":[0.008567597,0.0004999409,0.0010851263,0.0012139891,0.0054097315,0.0045157974,0.0030945174,0.0023844515,0.0009777187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057212557,0.000019991829,0.0012398325,0.00006870098,0.000022455177,0.000096865886,0.0003623218,0.0085295215,0.00259695,0.97784513,0.0012503756,0.007910466],"study_design_scores_gemma":[0.000014539068,0.00007598779,0.0027762672,0.00005743824,0.000028126266,0.0002504852,0.0003462876,0.064889744,0.002709763,0.92357683,0.0052425573,0.000031989995],"about_ca_topic_score_codex":0.0019677128,"about_ca_topic_score_gemma":0.00094627246,"teacher_disagreement_score":0.0065455935,"about_ca_system_score_codex":0.0014695066,"about_ca_system_score_gemma":0.0005715398,"threshold_uncertainty_score":0.021897197},"labels":[],"label_agreement":null},{"id":"W2342250006","doi":"10.1090/proc/12866","title":"The maximal function and conditional square function control the variation: An elementary proof","year":2015,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Hausdorff Research Institute for Mathematics; Hausdorff Center for Mathematics; Narodowe Centrum Nauki","keywords":"Mathematics; Square (algebra); Function (biology); Variation (astronomy); Elementary proof; Combinatorics; Physics; Geometry; Biology","score_opus":0.031741929622953635,"score_gpt":0.3055107907763019,"score_spread":0.27376886115334825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2342250006","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022905514,0.0015080475,0.7035991,0.008743768,0.001089758,0.000112964444,0.0007961769,0.0016825836,0.2595621],"genre_scores_gemma":[0.7527817,0.0023207401,0.16310416,0.0064704265,0.0013401218,0.00045563182,0.0007764089,0.0028078011,0.06994295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809235,0.0003515892,0.000081629885,0.00054733804,0.0005433843,0.00038374687],"domain_scores_gemma":[0.9973616,0.001377628,0.000098078686,0.00041313565,0.00060605374,0.00014356965],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002435041,0.0012386086,0.0010275587,0.0012645634,0.001847353,0.002268755,0.0022670017,0.0013232689,0.017095836],"category_scores_gemma":[0.0071288096,0.0007984621,0.002993775,0.0011241292,0.0064132153,0.00790706,0.005699413,0.00549335,0.0028742221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017687917,0.000012216429,0.00018727267,0.00005443437,0.000016976595,0.00010055389,0.0001641451,0.00076423754,0.00045292336,0.9842919,0.0061335317,0.0078041637],"study_design_scores_gemma":[0.000018061339,0.000015061224,0.00031238922,0.00003620536,0.000029155735,0.00013988535,0.0000660296,0.005575734,0.0015322854,0.97608155,0.016172087,0.000021669719],"about_ca_topic_score_codex":0.00573855,"about_ca_topic_score_gemma":0.0049406076,"teacher_disagreement_score":0.017095836,"about_ca_system_score_codex":0.0025949897,"about_ca_system_score_gemma":0.0017113538,"threshold_uncertainty_score":0.057191253},"labels":[],"label_agreement":null},{"id":"W2362077614","doi":"10.1090/proc/13259","title":"Entropy flux - electrostatic capacity - graphical mass","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Combinatorics; Entropy (arrow of time); Sigma; Mathematics; Thermodynamics; Quantum mechanics","score_opus":0.016803768371650214,"score_gpt":0.25377655909476754,"score_spread":0.23697279072311733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2362077614","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.291428,0.004247536,0.2600556,0.013708618,0.00065659784,0.0000839797,0.0012806787,0.00068712275,0.42785197],"genre_scores_gemma":[0.9673286,0.0008855241,0.009218103,0.00052157557,0.00043917214,0.00007430017,0.00022983768,0.00021116389,0.02109173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992067,0.00018963435,0.000026703594,0.00015920018,0.0002449725,0.00017278461],"domain_scores_gemma":[0.9973031,0.0015005418,0.00023870997,0.00023249988,0.0002823745,0.00044271786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009507495,0.0008146197,0.0006330518,0.002506288,0.0010449731,0.0016791855,0.0013552487,0.0011493504,0.022408841],"category_scores_gemma":[0.005574404,0.00030303406,0.00061950355,0.00089993543,0.0033068764,0.004737491,0.0032878502,0.001408242,0.0013042676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041888146,0.00001470279,0.00034054546,0.00006082351,0.0000065416193,0.000045418834,0.00004800155,0.0053155785,0.001628977,0.9865253,0.0014280609,0.0045442777],"study_design_scores_gemma":[0.000013487899,0.000025755626,0.0008384389,0.00003486677,0.000009856643,0.00014991614,0.000039530787,0.035904653,0.002252751,0.9575878,0.003122643,0.000020261412],"about_ca_topic_score_codex":0.0012975489,"about_ca_topic_score_gemma":0.0013512205,"teacher_disagreement_score":0.022408841,"about_ca_system_score_codex":0.0023685542,"about_ca_system_score_gemma":0.00077128696,"threshold_uncertainty_score":0.07496506},"labels":[],"label_agreement":null},{"id":"W2364327414","doi":"10.1090/proc/13475","title":"A result on the equation 𝑥^{𝑝}+𝑦^{𝑝}=𝑧^{𝑟} using Frey abelian varieties","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"University of British Columbia; Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Ministerio de Economía y Competitividad; Agence Nationale de la Recherche; Fundación BBVA","keywords":"Abelian group; Fermat's Last Theorem; Irreducibility; Diophantine equation; Mathematics; Dimension (graph theory); Arithmetic of abelian varieties; Pure mathematics; Type (biology); Combinatorics; Elementary abelian group; Rank of an abelian group","score_opus":0.08936940330182018,"score_gpt":0.32738866055249166,"score_spread":0.23801925725067147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2364327414","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2672958,0.0059574023,0.37239078,0.011326198,0.0035692619,0.000100177676,0.00071859465,0.0010704425,0.33757135],"genre_scores_gemma":[0.8433319,0.002458384,0.053480417,0.002184928,0.002007712,0.00010827209,0.000554922,0.0006381457,0.09523521],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988601,0.0002601839,0.000065789565,0.0002544876,0.00029742086,0.00026191914],"domain_scores_gemma":[0.99892634,0.0005845037,0.00010300213,0.00012761068,0.00016718051,0.00009134451],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014220544,0.0012364055,0.0010090282,0.0013907049,0.002351872,0.002135087,0.0012637826,0.001130044,0.016782051],"category_scores_gemma":[0.0033499715,0.0005525008,0.002253383,0.0014152714,0.0037355213,0.006540002,0.0031202843,0.0046551875,0.0031899712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004183685,0.000016644995,0.00022121544,0.00009491728,0.00002853673,0.0001481361,0.00032183158,0.001256496,0.0011975343,0.9838224,0.0042934082,0.008557049],"study_design_scores_gemma":[0.000026509546,0.0000447844,0.00034619955,0.000036301768,0.00003819931,0.00022716884,0.00009840844,0.004665149,0.0017304886,0.9776088,0.015147088,0.000030997322],"about_ca_topic_score_codex":0.0018452853,"about_ca_topic_score_gemma":0.0018080351,"teacher_disagreement_score":0.016782051,"about_ca_system_score_codex":0.0017530768,"about_ca_system_score_gemma":0.00092920556,"threshold_uncertainty_score":0.056141555},"labels":[],"label_agreement":null},{"id":"W2382612979","doi":"10.1090/proc/13484","title":"Local homological properties and cyclicity of homogeneous ANR-compacta","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"","keywords":"Homogeneous; Conjecture; Boundary (topology); Combinatorics; Mathematics; Dimension (graph theory); Metric (unit); Ball (mathematics); Mathematical analysis","score_opus":0.04700818719020177,"score_gpt":0.276772549974838,"score_spread":0.22976436278463624,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2382612979","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66645014,0.0011324923,0.06113803,0.0017457119,0.00032161712,0.00008228115,0.0005518377,0.00075082824,0.2678271],"genre_scores_gemma":[0.97166777,0.00032282498,0.0067161764,0.00025086215,0.00027110105,0.000049470946,0.00042679594,0.00013883364,0.02015625],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988016,0.00022268032,0.00007289193,0.00036375824,0.00032369187,0.00021535566],"domain_scores_gemma":[0.9979381,0.00059221825,0.00033192092,0.00034297476,0.00045844808,0.00033632806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071012875,0.00052007736,0.00055679824,0.0020470698,0.001431691,0.0023938788,0.0008837702,0.00060147897,0.011949224],"category_scores_gemma":[0.0031050516,0.00025861376,0.00074831676,0.0008516443,0.0032683376,0.0032937888,0.0030414897,0.0010764899,0.0015510699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003385282,0.00001472789,0.00041865386,0.00004664628,0.000008891033,0.00013952727,0.00031646437,0.0004537715,0.0016280648,0.99060047,0.0009021286,0.0054367767],"study_design_scores_gemma":[0.000026886319,0.00005834029,0.0015688022,0.000018549994,0.000014742832,0.00029956223,0.00032952757,0.0043511293,0.00254997,0.98075783,0.009993177,0.000031477088],"about_ca_topic_score_codex":0.001984534,"about_ca_topic_score_gemma":0.0015357403,"teacher_disagreement_score":0.011949224,"about_ca_system_score_codex":0.0016842169,"about_ca_system_score_gemma":0.0004507951,"threshold_uncertainty_score":0.039974093},"labels":[],"label_agreement":null},{"id":"W2392418306","doi":"10.1090/proc/13477","title":"Commutants of weighted shift directed graph operator algebras","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator 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":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; London Mathematical Society","keywords":"Centralizer and normalizer; Property (philosophy); Countable set; Directed graph; Operator (biology); Graph; Vertex (graph theory); Weight function","score_opus":0.01798584955261694,"score_gpt":0.26801638186225796,"score_spread":0.250030532309641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2392418306","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42090607,0.0007062724,0.4491699,0.0010075618,0.0007120008,0.00017036253,0.00039154838,0.00074518955,0.12619111],"genre_scores_gemma":[0.89599854,0.00040184264,0.052059483,0.00036436354,0.00023798525,0.00018566952,0.00027504418,0.00032175003,0.050155304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989569,0.00025762094,0.00006160901,0.00020831129,0.0003015912,0.00021393689],"domain_scores_gemma":[0.9991437,0.00023692854,0.00010546921,0.00010882215,0.0002329252,0.00017210587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011482637,0.000565318,0.0004681629,0.0015130463,0.0014156967,0.0017477967,0.001006636,0.00081030733,0.010463116],"category_scores_gemma":[0.0014660353,0.00032165207,0.00091758615,0.000991889,0.0018629399,0.0032855398,0.0014484387,0.0011443305,0.0015268822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012475823,0.000015696614,0.00008016935,0.000018245173,0.0000055305936,0.00007281211,0.00018005588,0.0005201245,0.00094830635,0.99544394,0.00039133758,0.002311239],"study_design_scores_gemma":[0.000013685312,0.000018844405,0.00010530953,0.000007725869,0.000006345244,0.00008494402,0.00012183066,0.009282802,0.0017583078,0.9854085,0.0031775367,0.000014199889],"about_ca_topic_score_codex":0.0013843931,"about_ca_topic_score_gemma":0.0015195864,"teacher_disagreement_score":0.010463116,"about_ca_system_score_codex":0.0011107102,"about_ca_system_score_gemma":0.0007353377,"threshold_uncertainty_score":0.03500259},"labels":[],"label_agreement":null},{"id":"W2396144212","doi":"10.1090/proc/13635","title":"An irreducibility criterion for power series","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Irreducibility; Series (stratigraphy); Mathematics; Power (physics); Power series; Pure mathematics; Mathematical analysis; Physics; Geology; Thermodynamics","score_opus":0.0467419049037206,"score_gpt":0.3673444385196284,"score_spread":0.3206025336159078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2396144212","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33407673,0.002257021,0.4582167,0.0059342724,0.0008722025,0.00012389617,0.00030516574,0.0005846854,0.19762932],"genre_scores_gemma":[0.9550327,0.000914497,0.025265297,0.00054825156,0.0010000134,0.00007357551,0.00018580844,0.00021504694,0.01676482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985318,0.00024252832,0.00009123775,0.00029563095,0.00057866273,0.00026015847],"domain_scores_gemma":[0.99430853,0.002706779,0.00055889966,0.00063700735,0.0011619339,0.00062690035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001989203,0.0008058705,0.00092060695,0.003324538,0.002368107,0.0028109776,0.0011781023,0.001300815,0.008426398],"category_scores_gemma":[0.008262496,0.0004186941,0.0015776227,0.0012500992,0.0044487133,0.0068789483,0.0037384273,0.004722135,0.0010993216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009643483,0.000015637223,0.0002451159,0.0000277464,0.0000033010758,0.00014339446,0.00015881132,0.00039733114,0.0011798856,0.99490756,0.0004283091,0.00248334],"study_design_scores_gemma":[0.0000070629903,0.0000279876,0.00020167972,0.000018547058,0.000006882343,0.00021148294,0.00007076486,0.005173946,0.0014738721,0.98952055,0.0032750452,0.000012135546],"about_ca_topic_score_codex":0.0004082262,"about_ca_topic_score_gemma":0.00036878244,"teacher_disagreement_score":0.008426398,"about_ca_system_score_codex":0.0012206202,"about_ca_system_score_gemma":0.0005772015,"threshold_uncertainty_score":0.028189123},"labels":[],"label_agreement":null},{"id":"W2415296035","doi":"10.1090/proc/13967","title":"Some new computable structures of high rank","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","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; National Science Foundation","keywords":"Countable set; Rank (graph theory); Computable number; Mathematics; Computable analysis; Omega; Categorical variable; Aleph; Combinatorics; Computable function; Discrete mathematics; Pure mathematics; Physics; Statistics","score_opus":0.021853250371490524,"score_gpt":0.27095165589895753,"score_spread":0.249098405527467,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2415296035","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12715837,0.0024458072,0.5817521,0.0060865134,0.00083214394,0.00017463374,0.0018972383,0.0030382543,0.27661493],"genre_scores_gemma":[0.7917658,0.0014230649,0.13415179,0.0010531867,0.0006295009,0.00023396035,0.001275618,0.0008028598,0.06866425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773514,0.0005268769,0.00015139984,0.00039792835,0.0008494815,0.00033915983],"domain_scores_gemma":[0.99779725,0.0009444169,0.00015809447,0.00041637413,0.00048500384,0.00019891158],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013992564,0.00065792823,0.0005402837,0.002644958,0.002621967,0.0049859397,0.0011215113,0.0010884098,0.017955083],"category_scores_gemma":[0.005296441,0.00052649516,0.0016963038,0.0023672634,0.004880762,0.008413559,0.0037704704,0.0030191937,0.0022065288],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010773513,0.000008137363,0.00009935902,0.000039366852,0.0000031280733,0.000078994504,0.00018610213,0.0005909766,0.00032072628,0.99378186,0.0012034378,0.0036769854],"study_design_scores_gemma":[0.000016381073,0.00001828159,0.0001852642,0.00003454838,0.000012958978,0.00013647818,0.00021310688,0.0041578957,0.00140803,0.9654247,0.028363839,0.000028562397],"about_ca_topic_score_codex":0.0020138486,"about_ca_topic_score_gemma":0.0026996352,"teacher_disagreement_score":0.017955083,"about_ca_system_score_codex":0.0031313181,"about_ca_system_score_gemma":0.001032987,"threshold_uncertainty_score":0.060065746},"labels":[],"label_agreement":null},{"id":"W2460645998","doi":"10.1090/proc/13667","title":"Concordance group of virtual knots","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Concordance; Knot (papermaking); Group (periodic table); Mathematics; Medicine; Physics; Materials science; Internal medicine; Composite material","score_opus":0.02696743963646786,"score_gpt":0.3033304574237753,"score_spread":0.27636301778730743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2460645998","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8883616,0.00021926932,0.06975834,0.00034025448,0.0001807914,0.00004034586,0.00013237898,0.00022271593,0.04074444],"genre_scores_gemma":[0.9877452,0.00010510039,0.00512704,0.00005813602,0.00009127641,0.000020327556,0.0001203326,0.000043575597,0.006689083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989662,0.00017039769,0.000046988876,0.00026472096,0.00033046855,0.00022113393],"domain_scores_gemma":[0.99848145,0.00028089038,0.00029574434,0.0002267094,0.00028052068,0.00043458169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000612032,0.00041332518,0.00042086118,0.0016678633,0.0015043182,0.0015707831,0.0007440839,0.0005224611,0.0054499907],"category_scores_gemma":[0.002510212,0.0002289568,0.0005116447,0.0006717905,0.0026647218,0.0022858286,0.0027237013,0.0010807635,0.00067293295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046483983,0.000022612094,0.0015108905,0.000032469256,0.000009794067,0.0003521721,0.0008812337,0.0013717022,0.0023877805,0.9858284,0.00049023604,0.007066189],"study_design_scores_gemma":[0.000025870078,0.00017348559,0.002695597,0.000033233333,0.00002038381,0.0006608888,0.0009711296,0.015338374,0.0052622356,0.96552294,0.009252107,0.000043727363],"about_ca_topic_score_codex":0.0013737286,"about_ca_topic_score_gemma":0.0006038688,"teacher_disagreement_score":0.0054499907,"about_ca_system_score_codex":0.0008606357,"about_ca_system_score_gemma":0.00048586456,"threshold_uncertainty_score":0.018231988},"labels":[],"label_agreement":null},{"id":"W2508432813","doi":"10.1090/proc/13585","title":"Constructing measures with identical moments","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Parametrization (atmospheric modeling); Mathematics; Bijection; Class (philosophy); Moment (physics); Pure mathematics; Set (abstract data type); Moment problem; Orthogonal polynomials; Type (biology); Indeterminate; Applied mathematics; Algebra over a field; Combinatorics; Computer science; Physics; Statistics","score_opus":0.02930098790180312,"score_gpt":0.2810415344725937,"score_spread":0.2517405465707906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2508432813","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33573243,0.0007559214,0.6020528,0.0009935078,0.00024396613,0.000109036264,0.00017455529,0.00038513483,0.059552684],"genre_scores_gemma":[0.89190423,0.00040922468,0.0995663,0.00026456604,0.00014677102,0.00018613339,0.00015986971,0.0001882727,0.0071746586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99727684,0.00091050164,0.00015133391,0.0004778052,0.0008980045,0.00028547083],"domain_scores_gemma":[0.9968792,0.0010400048,0.0005376264,0.0009092364,0.00031963957,0.0003142063],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002155621,0.0006453859,0.0009905669,0.0025871573,0.0021084405,0.0031188813,0.0011179583,0.0016909183,0.0029505263],"category_scores_gemma":[0.009836699,0.0005922542,0.0013749878,0.0012550565,0.0046487446,0.004033162,0.005052097,0.002536527,0.00052926654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010972763,0.000007401101,0.00016548962,0.000011190611,0.000005648876,0.000039470036,0.000110105895,0.0013254419,0.00088339025,0.9942802,0.00012369365,0.0030370625],"study_design_scores_gemma":[0.000013722337,0.000033419918,0.0003303238,0.00003194491,0.000012316283,0.00016356252,0.00012097689,0.013888623,0.0028101201,0.9776514,0.004915421,0.000028094368],"about_ca_topic_score_codex":0.00040307618,"about_ca_topic_score_gemma":0.0003107832,"teacher_disagreement_score":0.0031188813,"about_ca_system_score_codex":0.0017837868,"about_ca_system_score_gemma":0.00060415606,"threshold_uncertainty_score":0.012942374},"labels":[],"label_agreement":null},{"id":"W2508693851","doi":"10.1090/proc/13408","title":"On a transcendental equation involving quotients of Gamma functions","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Transcendental number; Transcendental function; Mathematics; Transcendental equation; Pure mathematics; Algebra over a field; Mathematical analysis; Differential equation","score_opus":0.04076956590142088,"score_gpt":0.27529865276814514,"score_spread":0.23452908686672425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2508693851","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29798424,0.006213654,0.33584702,0.008657215,0.0025004,0.0001362568,0.0003731249,0.00032447377,0.34796357],"genre_scores_gemma":[0.84649456,0.0038287407,0.03440253,0.0014481577,0.0018406862,0.00009679419,0.00027283563,0.00042113173,0.1111945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950576,0.0001327064,0.000025498535,0.00008751138,0.00014725431,0.00010121809],"domain_scores_gemma":[0.9993655,0.0002840513,0.00006608476,0.00005523379,0.00014591159,0.00008311113],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010341071,0.0012831973,0.00093583105,0.0018701045,0.001549565,0.002308647,0.0010324857,0.0013656301,0.0070696506],"category_scores_gemma":[0.0031883959,0.00035688028,0.0014191112,0.0013726014,0.0035721667,0.0050190254,0.0023424258,0.0038097298,0.0016680007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014655331,0.00001126311,0.000078477584,0.000026617647,0.0000047754725,0.00014719855,0.0002629416,0.00071371335,0.0011021754,0.9926272,0.0012418492,0.0037691183],"study_design_scores_gemma":[0.000018300447,0.00002075463,0.0001649955,0.000025739115,0.000010159055,0.00027616817,0.0001086015,0.014947875,0.0007803716,0.9758169,0.0078101535,0.000020091711],"about_ca_topic_score_codex":0.0026641986,"about_ca_topic_score_gemma":0.0015653506,"teacher_disagreement_score":0.0070696506,"about_ca_system_score_codex":0.0020045328,"about_ca_system_score_gemma":0.0010302651,"threshold_uncertainty_score":0.023650348},"labels":[],"label_agreement":null},{"id":"W2510773539","doi":"10.1090/proc/13607","title":"Dirichlet approximation and universal Dirichlet series","year":2016,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerio de Economía y Competitividad; American Institute of Mathematics","keywords":"Dirichlet series; General Dirichlet series; Mathematics; Dirichlet distribution; Dirichlet L-function; Series (stratigraphy); Dirichlet kernel; Dirichlet's principle; Dirichlet's energy; Euclidean geometry; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.028343853627372205,"score_gpt":0.2658850194217313,"score_spread":0.2375411657943591,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2510773539","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46741077,0.0036292376,0.4074564,0.0020867141,0.00040809612,0.000045155564,0.0002473876,0.0002971556,0.11841911],"genre_scores_gemma":[0.9732536,0.0011044757,0.014253368,0.0001374716,0.00029763154,0.00002521524,0.00009197493,0.000061638675,0.010774727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99907625,0.00023322842,0.000038607912,0.00018308894,0.00028911265,0.00017975019],"domain_scores_gemma":[0.9976291,0.0008028866,0.0003760143,0.0003182876,0.00040901688,0.00046476885],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013735632,0.00065683684,0.000821544,0.0021582453,0.0010933169,0.0025659683,0.0013731917,0.00083928474,0.005272639],"category_scores_gemma":[0.008668894,0.00024522917,0.000578439,0.0015317919,0.0033789577,0.0044728327,0.0028995448,0.002136893,0.00078653113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018103678,0.0000111190375,0.00025507557,0.000026738231,0.000005533745,0.000076735334,0.00011557345,0.0019088335,0.00085250835,0.9930027,0.0002718901,0.0034552545],"study_design_scores_gemma":[0.00000962689,0.000025395593,0.00038492464,0.00003131977,0.000010596639,0.00030750525,0.00017083104,0.041350193,0.001489389,0.95292324,0.0032806534,0.000016282485],"about_ca_topic_score_codex":0.0007016931,"about_ca_topic_score_gemma":0.0004463005,"teacher_disagreement_score":0.005272639,"about_ca_system_score_codex":0.0013161591,"about_ca_system_score_gemma":0.0004089228,"threshold_uncertainty_score":0.017638683},"labels":[],"label_agreement":null},{"id":"W2526367143","doi":"10.1090/proc/13437","title":"An inequality for Cauchy products","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Inequality; Cauchy distribution; Mathematics; Cauchy–Schwarz inequality; Mathematical economics; Mathematical analysis","score_opus":0.03517491375013511,"score_gpt":0.334943661911558,"score_spread":0.2997687481614229,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2526367143","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06774075,0.0043921513,0.38311478,0.008942274,0.0016944343,0.0001106699,0.001179673,0.0007114973,0.5321138],"genre_scores_gemma":[0.7072206,0.006099858,0.09376338,0.0040246127,0.0020982428,0.0004999794,0.0024086717,0.0022573255,0.18162727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996646,0.00076407136,0.00020426395,0.0007879393,0.0010310631,0.00056670554],"domain_scores_gemma":[0.9924771,0.0036025026,0.0002852763,0.00047651294,0.0025221098,0.0006365499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032832546,0.0014081253,0.0010501876,0.0026943216,0.0028483246,0.0051270504,0.001913701,0.0016664308,0.025375191],"category_scores_gemma":[0.0124952765,0.00068035815,0.0024020486,0.0016845344,0.004510953,0.016302738,0.006641663,0.006532206,0.0057011726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027697266,0.000015055468,0.00021834196,0.00008167336,0.000015020991,0.00016049841,0.00033011122,0.00031396328,0.0007380304,0.98487025,0.0049208766,0.008308463],"study_design_scores_gemma":[0.000010672507,0.00003676396,0.00046096923,0.00006900609,0.000024131856,0.00033662922,0.00021904256,0.0077213873,0.0015456837,0.9656243,0.023924334,0.00002720441],"about_ca_topic_score_codex":0.003970159,"about_ca_topic_score_gemma":0.0025675797,"teacher_disagreement_score":0.025375191,"about_ca_system_score_codex":0.0034157205,"about_ca_system_score_gemma":0.0018632644,"threshold_uncertainty_score":0.08488846},"labels":[],"label_agreement":null},{"id":"W2535009656","doi":"10.1090/proc/13581","title":"Generically Mañé set supports uniquely ergodic measure for residual cohomology class","year":2016,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Ergodic theory; Measure (data warehouse); Mathematics; Class (philosophy); Residual; Cohomology; Set (abstract data type); Pure mathematics; Discrete mathematics; Computer science; Artificial intelligence; Algorithm","score_opus":0.015012522165740436,"score_gpt":0.2542090259371514,"score_spread":0.23919650377141094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2535009656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60825825,0.0015067309,0.24158117,0.0016374589,0.0005421782,0.000076754906,0.0007570043,0.0007468012,0.14489368],"genre_scores_gemma":[0.9521728,0.00047550863,0.0169546,0.00021147389,0.0003832253,0.000045968944,0.0005496547,0.0002724543,0.028934324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999071,0.00011389351,0.000038680497,0.0003255512,0.00023093293,0.00021987368],"domain_scores_gemma":[0.9988172,0.00022562653,0.00016036729,0.00015657293,0.00027882395,0.00036142254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007036569,0.00079275627,0.0010531046,0.0025588667,0.0024521283,0.002376614,0.00095854426,0.0006735361,0.011931616],"category_scores_gemma":[0.002067434,0.0003614951,0.0014565678,0.0005013489,0.002458234,0.0035898772,0.003304176,0.0020571426,0.0015100733],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004777579,0.000028645345,0.0010876603,0.000063783205,0.000020845737,0.00025995504,0.00034040996,0.0008657974,0.0021362023,0.98918355,0.0011443817,0.004820904],"study_design_scores_gemma":[0.000037495833,0.0001921119,0.0032414014,0.000059706883,0.000056586192,0.0007945241,0.00057826843,0.024440017,0.0045295884,0.95187414,0.014117762,0.000078381345],"about_ca_topic_score_codex":0.0016129261,"about_ca_topic_score_gemma":0.0015127683,"teacher_disagreement_score":0.011931616,"about_ca_system_score_codex":0.001870651,"about_ca_system_score_gemma":0.0005063576,"threshold_uncertainty_score":0.039915264},"labels":[],"label_agreement":null},{"id":"W2539627085","doi":"10.1090/proc/13762","title":"Simultaneously preperiodic points for families of polynomials in normal form","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary; University of British Columbia","funders":"Ministry of Science and Technology, Taiwan","keywords":"Mathematics; Pure mathematics; Combinatorics","score_opus":0.030609783995046266,"score_gpt":0.29315364258965726,"score_spread":0.262543858594611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2539627085","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1366001,0.0018265903,0.5692513,0.0023118558,0.0018593953,0.0002549283,0.0021010195,0.0037119947,0.2820828],"genre_scores_gemma":[0.6800492,0.0015104578,0.15511853,0.0006513449,0.0009137861,0.00028293577,0.0031913044,0.0031064313,0.15517598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987431,0.00023940919,0.00008276774,0.00029465475,0.00039559783,0.0002444568],"domain_scores_gemma":[0.9983923,0.00057494023,0.000119395976,0.0002691718,0.00051901396,0.0001252042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014189585,0.0010527355,0.00070036366,0.0025812406,0.002309875,0.0038463203,0.0012611889,0.0010865213,0.046613008],"category_scores_gemma":[0.006729801,0.0006577308,0.0013695172,0.0016282008,0.0015219541,0.007158304,0.0027401638,0.002420194,0.014439986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024065499,0.000040367,0.00051293185,0.00019915946,0.000015493619,0.000527835,0.0008431727,0.00090204884,0.002382896,0.92673606,0.015931847,0.05166758],"study_design_scores_gemma":[0.000066453955,0.000087526445,0.000585984,0.00012965407,0.000036339006,0.00076848315,0.0009463798,0.0071200207,0.0063346503,0.873117,0.11074279,0.00006464896],"about_ca_topic_score_codex":0.0015982199,"about_ca_topic_score_gemma":0.0019995987,"teacher_disagreement_score":0.046613008,"about_ca_system_score_codex":0.0022905706,"about_ca_system_score_gemma":0.0006596036,"threshold_uncertainty_score":0.15593606},"labels":[],"label_agreement":null},{"id":"W2547297372","doi":"10.1090/proc/13893","title":"The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Automorphism; Dimension (graph theory); Pure mathematics; Automorphism group; Algebraic variety; Algebraic number; Combinatorics; Mathematical analysis","score_opus":0.011764920903106076,"score_gpt":0.25543429713647453,"score_spread":0.24366937623336846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2547297372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88081324,0.0004919982,0.026656857,0.0014254471,0.00023561352,0.000045261568,0.00063590024,0.00039656513,0.08929919],"genre_scores_gemma":[0.98392606,0.00019757732,0.0029506348,0.000081366605,0.00015154862,0.00003244105,0.00034331743,0.000060411767,0.012256629],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993253,0.00016188658,0.000038673777,0.00012857286,0.00017812346,0.00016745158],"domain_scores_gemma":[0.99888057,0.00039147973,0.00017015608,0.00013066677,0.00015973057,0.00026747948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065294036,0.00051313196,0.00047014697,0.0027137154,0.0013931824,0.0029883587,0.00049671775,0.0005321144,0.007954398],"category_scores_gemma":[0.0020008828,0.00035215917,0.00062653143,0.0010237255,0.0028670563,0.00347934,0.0022618887,0.0010936888,0.0011124039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010188689,0.000026360454,0.0020829942,0.00003521056,0.000015742407,0.00013122008,0.00044009765,0.0009927297,0.001164102,0.9859644,0.0021182878,0.0069270236],"study_design_scores_gemma":[0.000038184036,0.00005650171,0.0039027976,0.000025076737,0.000023820287,0.00032859726,0.0004128171,0.00462108,0.0018397985,0.97831076,0.010403634,0.000036844882],"about_ca_topic_score_codex":0.0010384549,"about_ca_topic_score_gemma":0.0009572114,"teacher_disagreement_score":0.007954398,"about_ca_system_score_codex":0.0017399134,"about_ca_system_score_gemma":0.0005683513,"threshold_uncertainty_score":0.026610076},"labels":[],"label_agreement":null},{"id":"W2550467618","doi":"10.1090/proc/13850","title":"Reducedness of affine Grassmannian slices in type A","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; Perimeter Institute; University of Toronto","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences; Alfred P. Sloan Foundation","keywords":"Grassmannian; Corollary; Affine transformation; Ideal (ethics); Mathematics; Type (biology); Pure mathematics; Conjecture; Modular design; Algebra over a field; Computer science; Biology; Political science","score_opus":0.05025813845262529,"score_gpt":0.3517655662499965,"score_spread":0.3015074277973712,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2550467618","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89957595,0.00031845408,0.024056448,0.00061898713,0.00022910211,0.0000370316,0.00033411643,0.00023211108,0.07459787],"genre_scores_gemma":[0.9905606,0.00012529598,0.0031421906,0.00006832009,0.000086423264,0.000014047606,0.00023968374,0.000035327572,0.005728014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996544,0.000055364846,0.000022143666,0.00008605436,0.00008862952,0.00009336116],"domain_scores_gemma":[0.9993782,0.00008691951,0.00012741746,0.0000929925,0.00011730369,0.00019701144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043176545,0.00047919902,0.000419885,0.0011316394,0.0011884895,0.0021764166,0.000700435,0.000611595,0.0068374285],"category_scores_gemma":[0.001169928,0.00025726607,0.00068105,0.00053240155,0.0024612537,0.0026250354,0.0015702097,0.0014319993,0.00073209335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000096953816,0.000031427582,0.0023132258,0.000043568387,0.000011543526,0.0003822419,0.00064344786,0.0005827718,0.004002577,0.9876779,0.00088282133,0.0033315723],"study_design_scores_gemma":[0.00006266626,0.00015906473,0.0054469523,0.000042694184,0.000036392626,0.0009770873,0.0012407785,0.0066891015,0.006184281,0.96981704,0.0093046315,0.000039312337],"about_ca_topic_score_codex":0.0019034839,"about_ca_topic_score_gemma":0.0013031028,"teacher_disagreement_score":0.0068374285,"about_ca_system_score_codex":0.00083253544,"about_ca_system_score_gemma":0.00045564372,"threshold_uncertainty_score":0.022873461},"labels":[],"label_agreement":null},{"id":"W2556498706","doi":"10.1090/proc/13656","title":"Stable solutions of symmetric systems on Riemannian manifolds","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Texas at San Antonio","keywords":"Riemannian manifold; Mathematics; Manifold (fluid mechanics); Boundary (topology); Pure mathematics; Flatness (cosmology); Type (biology); Combinatorics; Operator (biology); Mathematical analysis; Physics","score_opus":0.08126379715449189,"score_gpt":0.33453823211408107,"score_spread":0.2532744349595892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2556498706","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7038518,0.0010263288,0.20089746,0.003194309,0.00036210282,0.00014798265,0.00044749904,0.00038440526,0.08968816],"genre_scores_gemma":[0.9515077,0.0005864352,0.015446612,0.0002719593,0.0002457899,0.00012152037,0.00032980627,0.00016017666,0.031330034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961865,0.00009775785,0.000018496301,0.00007193598,0.00009848879,0.00009468223],"domain_scores_gemma":[0.99941254,0.000107642794,0.00013793507,0.000035874993,0.00013754888,0.00016833853],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058931246,0.0011344461,0.0006367684,0.0018735487,0.001320955,0.002027804,0.0010052329,0.001405494,0.0081308205],"category_scores_gemma":[0.0020161758,0.00034545784,0.0008725571,0.00061487296,0.0019414446,0.0020797648,0.0021511456,0.0010872496,0.0011301925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003332326,0.000026054971,0.00041606574,0.000056837805,0.000020321319,0.00017493291,0.00030420782,0.0117649,0.0028703238,0.97861767,0.0019177648,0.0037976217],"study_design_scores_gemma":[0.000035894536,0.000078314566,0.0007136408,0.0000340711,0.00001136406,0.00013935592,0.0003843424,0.13152152,0.0012125687,0.8631141,0.002716713,0.0000381655],"about_ca_topic_score_codex":0.0030060974,"about_ca_topic_score_gemma":0.0021308812,"teacher_disagreement_score":0.0081308205,"about_ca_system_score_codex":0.0014948061,"about_ca_system_score_gemma":0.0009052594,"threshold_uncertainty_score":0.027200282},"labels":[],"label_agreement":null},{"id":"W2568664107","doi":"10.1090/proc/13624","title":"Maximizers for the singular Trudinger-Moser inequalities in the subcritical cases","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"Division of Mathematical Sciences; Pacific Institute for the Mathematical Sciences","keywords":"Inequality; Mathematics; Mathematical economics; Pure mathematics; Economics; Applied mathematics; Mathematical analysis; Calculus (dental); Medicine; Orthodontics","score_opus":0.054781270134536174,"score_gpt":0.31125772790056605,"score_spread":0.2564764577660299,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2568664107","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26492342,0.0059546228,0.45286697,0.00720682,0.00063408486,0.00016832129,0.00087454484,0.00040123373,0.26697],"genre_scores_gemma":[0.91900593,0.0035211877,0.047484715,0.000810787,0.0006534809,0.00033562785,0.0005340345,0.0002851875,0.027368955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986965,0.0003793768,0.0000641398,0.00020936358,0.00032788524,0.00032275656],"domain_scores_gemma":[0.99636394,0.0019469336,0.00052040146,0.00019533547,0.00053905876,0.00043443576],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026917642,0.0014957165,0.0011201677,0.003402821,0.001717177,0.0032275121,0.0016723536,0.0015324937,0.010671897],"category_scores_gemma":[0.013083851,0.0005592758,0.0014151407,0.0014832597,0.0028198776,0.0035938278,0.0025806734,0.0034856,0.0017970479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028049404,0.0000133303365,0.00028972115,0.00010225789,0.000018911118,0.0000831894,0.00009203329,0.0044395505,0.00086274865,0.98644894,0.0021086053,0.005512684],"study_design_scores_gemma":[0.000014089625,0.000034021814,0.00068735913,0.00010999073,0.000025636527,0.00016284034,0.00015990087,0.073640786,0.0013345547,0.9205378,0.0032550383,0.000037946913],"about_ca_topic_score_codex":0.001973221,"about_ca_topic_score_gemma":0.0018819863,"teacher_disagreement_score":0.010671897,"about_ca_system_score_codex":0.0022514914,"about_ca_system_score_gemma":0.0010813846,"threshold_uncertainty_score":0.035701036},"labels":[],"label_agreement":null},{"id":"W2576844579","doi":"10.1090/proc/14184","title":"Nondegeneracy of half-harmonic maps from ℝ into 𝕊¹","year":2018,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Harmonic; Harmonic map; Mathematics; Geography; Geometry; Physics; Acoustics","score_opus":0.029020066521731527,"score_gpt":0.3062399922021558,"score_spread":0.2772199256804243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2576844579","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32613328,0.0011101984,0.33143982,0.0033423128,0.0013203901,0.000120996185,0.0009805852,0.001086942,0.33446553],"genre_scores_gemma":[0.85855794,0.0010542454,0.032203004,0.0010178731,0.0006694957,0.00018880176,0.0009051886,0.0010092906,0.10439425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987972,0.0001327101,0.00006780471,0.00035881743,0.0003560609,0.0002875782],"domain_scores_gemma":[0.9982157,0.0005878678,0.00019523507,0.0002177398,0.00052440877,0.00025900875],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001007235,0.00092596613,0.00048717984,0.0018810997,0.0018790246,0.0037188297,0.0012055666,0.00096018997,0.025660213],"category_scores_gemma":[0.0030885288,0.0005886912,0.0013442923,0.0008719703,0.0025602365,0.0065199938,0.0051096627,0.0031721096,0.004438021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000365338,0.000021234551,0.00020742504,0.000042413023,0.0000145730555,0.00013157094,0.00046385344,0.00026078385,0.0011511185,0.98558724,0.0026362664,0.009446885],"study_design_scores_gemma":[0.000017814731,0.000039274706,0.00051055686,0.00002530118,0.000019342171,0.0002571507,0.00032111304,0.0031492468,0.0033147584,0.9757672,0.016555907,0.000022303035],"about_ca_topic_score_codex":0.0012482973,"about_ca_topic_score_gemma":0.0007914972,"teacher_disagreement_score":0.025660213,"about_ca_system_score_codex":0.0014424586,"about_ca_system_score_gemma":0.00062282174,"threshold_uncertainty_score":0.085841954},"labels":[],"label_agreement":null},{"id":"W2579832352","doi":"10.1090/proc/14426","title":"Compact manifolds with fixed boundary and large Steklov eigenvalues","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval; Center for Northern Studies","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Eigenvalues and eigenvectors; Boundary (topology); Fixed wing; Mathematics; Pure mathematics; Mathematical analysis; Topology (electrical circuits); Physics; Combinatorics","score_opus":0.011358161431048747,"score_gpt":0.24890974359510187,"score_spread":0.23755158216405312,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2579832352","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5504808,0.00234666,0.19010884,0.004774035,0.00070993614,0.00009548525,0.0014746407,0.0020876005,0.24792212],"genre_scores_gemma":[0.94524246,0.0005251018,0.018065898,0.00033483,0.0002172052,0.00007578123,0.0010469181,0.000784647,0.03370719],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997248,0.000044862885,0.000012437318,0.000076287855,0.00008346211,0.000058217458],"domain_scores_gemma":[0.9993482,0.00015373593,0.00010267983,0.0000798446,0.00014102263,0.0001744191],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029517937,0.00062804314,0.0006462809,0.0018857501,0.001127711,0.0020960963,0.0006488424,0.0012935873,0.013900739],"category_scores_gemma":[0.0022139319,0.00040322795,0.00048492925,0.00055258296,0.0017009783,0.003213303,0.0023388192,0.0014866699,0.003548477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008789988,0.000030943873,0.00079390523,0.00011031752,0.0000124517155,0.00032913755,0.00025326526,0.0053933808,0.0049832813,0.96627766,0.010873152,0.01085469],"study_design_scores_gemma":[0.00002635228,0.000033850716,0.0023966215,0.000053145668,0.000009411216,0.00036931873,0.00027737275,0.042717606,0.0032842937,0.9397698,0.011021536,0.000040663417],"about_ca_topic_score_codex":0.0009801558,"about_ca_topic_score_gemma":0.001065018,"teacher_disagreement_score":0.013900739,"about_ca_system_score_codex":0.001031342,"about_ca_system_score_gemma":0.00035351608,"threshold_uncertainty_score":0.04650259},"labels":[],"label_agreement":null},{"id":"W2586608996","doi":"10.1090/proc/13671","title":"Topological invariant means on almost periodic functionals: Solution to problems by Dales–Lau–Strauss and Daws","year":2017,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.049898176531427973,"score_gpt":0.3299448642546995,"score_spread":0.2800466877232715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2586608996","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21433327,0.011944858,0.6163745,0.01985275,0.0020551113,0.00010425714,0.00052207377,0.0005199377,0.13429321],"genre_scores_gemma":[0.78398144,0.0060800337,0.11134065,0.0018127693,0.002181123,0.00022316558,0.0005164013,0.0006062013,0.09325826],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953115,0.00014950173,0.000028195484,0.00010579556,0.000110229885,0.000075119584],"domain_scores_gemma":[0.9988053,0.0004996915,0.000098103454,0.00015996167,0.0002536634,0.00018335725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015138944,0.0008232186,0.0011857626,0.0021680065,0.0017973207,0.0019030356,0.0012979927,0.0017895211,0.007967858],"category_scores_gemma":[0.0072604674,0.0004864248,0.0012139874,0.0012628367,0.002605804,0.005150668,0.0030159098,0.0031454796,0.0010544359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012657583,0.000009122864,0.0001104303,0.000033979664,0.0000075670364,0.000028260303,0.00013305098,0.001333882,0.00012812178,0.9905748,0.0022660547,0.005362224],"study_design_scores_gemma":[0.000007803609,0.000011057285,0.00013377714,0.000015463396,0.0000062297495,0.00002297345,0.000068801,0.011301795,0.000101333266,0.9835629,0.0047574188,0.000010472981],"about_ca_topic_score_codex":0.0033104853,"about_ca_topic_score_gemma":0.002892975,"teacher_disagreement_score":0.007967858,"about_ca_system_score_codex":0.0022741281,"about_ca_system_score_gemma":0.0013070119,"threshold_uncertainty_score":0.026655138},"labels":[],"label_agreement":null},{"id":"W2586974375","doi":"10.1090/proc/13644","title":"Selective ultrafilters on FIN","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Ultrafilter; Countable set; Extension (predicate logic); Forcing (mathematics); Mathematics; Fin; Combinatorics; Discrete mathematics; Computer science; Materials science; Mathematical analysis; Composite material; Programming language","score_opus":0.027121102277496388,"score_gpt":0.3245825681545813,"score_spread":0.29746146587708494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2586974375","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1712839,0.0013696274,0.6106823,0.0014595279,0.0005987332,0.00015156115,0.0018715758,0.0031864098,0.20939639],"genre_scores_gemma":[0.80371016,0.0007130659,0.11067809,0.00096656743,0.00042043097,0.00023690709,0.0020488321,0.0011027658,0.08012313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974994,0.0003724087,0.00018740588,0.000640694,0.000685716,0.0006142971],"domain_scores_gemma":[0.9973907,0.0009353239,0.0001962298,0.0005382761,0.0007325586,0.00020701543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020940336,0.0007956639,0.000691332,0.0019141857,0.0029639786,0.0030016748,0.0012830372,0.00097507954,0.012439193],"category_scores_gemma":[0.0039395625,0.0005982718,0.0021897764,0.0013253132,0.0022935509,0.009901448,0.0035108163,0.002218068,0.0025408755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055018696,0.000022265505,0.00045410127,0.00006707518,0.000016318603,0.00020161369,0.00045444656,0.0006805646,0.0016788511,0.98029834,0.0022785054,0.013792874],"study_design_scores_gemma":[0.000024793653,0.00006771053,0.00088404375,0.00006302173,0.00004661965,0.0003041793,0.0005137,0.009398834,0.0077173873,0.93604743,0.04488395,0.000048335045],"about_ca_topic_score_codex":0.004752019,"about_ca_topic_score_gemma":0.0050547244,"teacher_disagreement_score":0.012439193,"about_ca_system_score_codex":0.003008861,"about_ca_system_score_gemma":0.0007861512,"threshold_uncertainty_score":0.04161322},"labels":[],"label_agreement":null},{"id":"W2589101395","doi":"10.1090/proc/13801","title":"Complete spectral sets and numerical range","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Range (aeronautics); Mathematics; Materials science; Composite material","score_opus":0.01834955242964111,"score_gpt":0.26397162427878457,"score_spread":0.24562207184914345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2589101395","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07538047,0.0020451131,0.77228755,0.0014009995,0.0006361991,0.00008010226,0.0007449133,0.0014602335,0.14596447],"genre_scores_gemma":[0.7744526,0.0012334046,0.18387297,0.0010399501,0.0007160032,0.00025740717,0.0011484772,0.0009181256,0.036361005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99607015,0.0010546547,0.00029887955,0.00092505733,0.0012713246,0.00037986116],"domain_scores_gemma":[0.9958448,0.0013600093,0.0003714594,0.00058710837,0.0014085958,0.00042810958],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025106957,0.0006998372,0.0006876509,0.0028518764,0.0017526313,0.0041200123,0.0012719563,0.0008309828,0.00880667],"category_scores_gemma":[0.0064943796,0.0004142632,0.001062445,0.0015426964,0.004250062,0.008470536,0.004670819,0.0018881686,0.00291326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015857093,0.0000072238004,0.000096488526,0.00004086431,0.0000060559896,0.000023366085,0.00020778552,0.0005749987,0.0005691952,0.99010605,0.0008917299,0.0074605015],"study_design_scores_gemma":[0.0000068694994,0.000022629853,0.00016942972,0.000030380466,0.0000070528763,0.00009689261,0.00019623889,0.0043865433,0.001628565,0.97971684,0.013716685,0.000021838428],"about_ca_topic_score_codex":0.0008608744,"about_ca_topic_score_gemma":0.0005947999,"teacher_disagreement_score":0.00880667,"about_ca_system_score_codex":0.0013979139,"about_ca_system_score_gemma":0.0007081402,"threshold_uncertainty_score":0.029461265},"labels":[],"label_agreement":null},{"id":"W2589360734","doi":"10.1090/proc/12355","title":"Diophantine properties of orthogonal polynomials and rational functions","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"University of Hong Kong; City University of Hong Kong","keywords":"Orthogonal polynomials; Mathematics; Classical orthogonal polynomials; Pure mathematics; Hahn polynomials; Biorthogonal system; Discrete orthogonal polynomials; Product (mathematics); Wilson polynomials; Chebyshev polynomials; Property (philosophy); Askey–Wilson polynomials; Diophantine equation; Unique factorization domain; Jacobi polynomials; Rational function; Gegenbauer polynomials; Factorization; Mathematical analysis; Computer science","score_opus":0.04470957073996315,"score_gpt":0.28963003592939074,"score_spread":0.2449204651894276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2589360734","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5835825,0.0025053425,0.24915515,0.0014801841,0.00025973542,0.000054014054,0.0003233329,0.00023033965,0.16240929],"genre_scores_gemma":[0.97609246,0.00086990435,0.0129660815,0.0000934465,0.0001517018,0.000021685715,0.00008526759,0.000041044394,0.009678422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956816,0.000067486864,0.000017815479,0.00008675258,0.0001506267,0.00010906895],"domain_scores_gemma":[0.9994143,0.00020887863,0.000109459346,0.00009891469,0.00010181941,0.0000665968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075492705,0.000404393,0.00039933965,0.0010150742,0.0007598313,0.0014920294,0.00044836797,0.0004355527,0.0043356786],"category_scores_gemma":[0.0024789185,0.00026608715,0.0004162829,0.0008025492,0.0022759626,0.0018477767,0.00088485127,0.001303975,0.0006455148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014462861,0.000006074224,0.00008176377,0.000013592588,0.0000022336808,0.000036750636,0.00007988739,0.0014507149,0.000997897,0.99428314,0.00019864192,0.0028348146],"study_design_scores_gemma":[0.000013300108,0.000017279015,0.00024703424,0.000008725786,0.0000034154048,0.00009784347,0.000048008344,0.014067187,0.0009926792,0.98127854,0.0032127446,0.000013188327],"about_ca_topic_score_codex":0.001428575,"about_ca_topic_score_gemma":0.00077998167,"teacher_disagreement_score":0.0043356786,"about_ca_system_score_codex":0.0009898003,"about_ca_system_score_gemma":0.00054393534,"threshold_uncertainty_score":0.014504254},"labels":[],"label_agreement":null},{"id":"W2589601364","doi":"10.1090/proc/13601","title":"Tracial approximation is stable","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematical economics; Mathematics; Economics; Philosophy","score_opus":0.04704578774882966,"score_gpt":0.3592683665087442,"score_spread":0.31222257875991455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2589601364","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15293649,0.0021430277,0.25238243,0.006396553,0.0012347441,0.000127432,0.0024074137,0.004702404,0.5776695],"genre_scores_gemma":[0.8953237,0.0009606395,0.021083692,0.00131545,0.0006474387,0.00010757026,0.0020528578,0.0007969828,0.07771162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99755704,0.00037906182,0.00014800807,0.00063110364,0.00081437826,0.00047032826],"domain_scores_gemma":[0.9966893,0.0009967751,0.0002333472,0.0005889285,0.001119759,0.0003719395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016359907,0.00087894476,0.0011651398,0.0022105554,0.0027604892,0.0061142445,0.0012321057,0.0011314885,0.028178373],"category_scores_gemma":[0.0057392186,0.0004531369,0.0016275933,0.0017976039,0.003090701,0.008860452,0.004360206,0.0038388292,0.004110304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041364867,0.000015151396,0.00017111546,0.00003905404,0.000017003522,0.000055895023,0.00017487489,0.00044840053,0.000451286,0.9914234,0.002850214,0.004312238],"study_design_scores_gemma":[0.000022739385,0.00003136931,0.0002839309,0.000022347209,0.0000297072,0.00010695678,0.00019928948,0.006690862,0.0014049032,0.97521067,0.01597416,0.000023002427],"about_ca_topic_score_codex":0.0037710578,"about_ca_topic_score_gemma":0.003245311,"teacher_disagreement_score":0.028178373,"about_ca_system_score_codex":0.0035920832,"about_ca_system_score_gemma":0.0014207189,"threshold_uncertainty_score":0.094266},"labels":[],"label_agreement":null},{"id":"W2590117949","doi":"10.1090/proc/13687","title":"Existence of an extinction wave in the Fisher equation with a shifting habitat","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":157,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Science Foundation of Hunan Province; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Monotone polygon; Fisher equation; Habitat; Extinction (optical mineralogy); Mathematics; Traveling wave; Wave speed; Mathematical analysis; Fisher's equation; Diffusion; Physics; Ecology; Geometry; Partial differential equation; Economics; Biology; Optics; Method of characteristics; Exact differential equation; Quantum mechanics","score_opus":0.05072599170132914,"score_gpt":0.3040644626154304,"score_spread":0.2533384709141013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2590117949","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5563774,0.00034100577,0.42697832,0.0019589292,0.00008746751,0.000105741165,0.00006124775,0.00008071706,0.014009147],"genre_scores_gemma":[0.92864496,0.00037567635,0.06310682,0.00030565902,0.000074674725,0.00014730735,0.000067604815,0.00003877341,0.0072383927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997466,0.00007624064,0.000013017352,0.00003827633,0.00006335852,0.00006242182],"domain_scores_gemma":[0.99882835,0.0006324994,0.00021083112,0.000034889184,0.0001408818,0.00015249233],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011427407,0.0005329781,0.00052397343,0.0007251788,0.0007789339,0.0008318932,0.0007496536,0.0014251677,0.0020678076],"category_scores_gemma":[0.0048146327,0.0003309762,0.00096159626,0.00024096269,0.001485015,0.0018415239,0.0013860678,0.0017248195,0.00018954907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026015978,0.00012406599,0.006603995,0.00019544935,0.000086883614,0.0017906756,0.000968507,0.096554905,0.024874503,0.8465006,0.0017101411,0.020330222],"study_design_scores_gemma":[0.000103228645,0.00019585206,0.0012128713,0.00005024681,0.00004345547,0.0007470574,0.0005137558,0.7460995,0.0031294923,0.2463593,0.0014829845,0.000062268104],"about_ca_topic_score_codex":0.0019529327,"about_ca_topic_score_gemma":0.0009563909,"teacher_disagreement_score":0.0020678076,"about_ca_system_score_codex":0.00058814976,"about_ca_system_score_gemma":0.00080605637,"threshold_uncertainty_score":0.0069174767},"labels":[],"label_agreement":null},{"id":"W2590309738","doi":"10.1090/proc/14063","title":"On optimal Scott sentences of finitely generated algebraic structures","year":2018,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algebraic number; Finitely-generated abelian group; Mathematics; Algebra over a field; Pure mathematics; Linguistics; Computer science; Philosophy; Mathematical analysis","score_opus":0.020978959955839094,"score_gpt":0.2656726368267579,"score_spread":0.2446936768709188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2590309738","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2264754,0.0026880954,0.41496927,0.013714264,0.0009207385,0.00018846159,0.002013151,0.0021660614,0.33686468],"genre_scores_gemma":[0.9113436,0.0007622591,0.05344949,0.0019472636,0.0005483774,0.00012764556,0.0012218854,0.00048706206,0.030112451],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973484,0.0009692723,0.00022149771,0.00040712667,0.0006251942,0.00042854587],"domain_scores_gemma":[0.9962535,0.0020952935,0.00026902455,0.00031101596,0.0008322154,0.00023895182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030272233,0.00089275296,0.00071214634,0.0017696865,0.0024757204,0.0035178044,0.0010626429,0.0013735762,0.007931861],"category_scores_gemma":[0.007062257,0.0008603172,0.0017772212,0.0010593907,0.0040322845,0.008569614,0.0033143188,0.0027765394,0.0018405434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047328223,0.000022602073,0.0001679609,0.00006081609,0.00001043569,0.00009004114,0.0004758479,0.00068320375,0.00094580377,0.9920352,0.0020261847,0.0034346664],"study_design_scores_gemma":[0.000025972018,0.00003455057,0.00029081304,0.00003165795,0.00001902322,0.000063206666,0.0002495746,0.0032433616,0.0013971459,0.9876129,0.0070093567,0.000022582513],"about_ca_topic_score_codex":0.0018193308,"about_ca_topic_score_gemma":0.0027634902,"teacher_disagreement_score":0.007931861,"about_ca_system_score_codex":0.003958944,"about_ca_system_score_gemma":0.0010304565,"threshold_uncertainty_score":0.028724253},"labels":[],"label_agreement":null},{"id":"W2593281389","doi":"10.1090/s0002-9939-08-09508-7","title":"Characterizing indecomposable plane continua from their complements","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematics and Applications","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Indecomposable module; Plane (geometry); Geometry; Mathematics; Pure mathematics","score_opus":0.05071424953781652,"score_gpt":0.29262097680910004,"score_spread":0.2419067272712835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593281389","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37581098,0.0012519006,0.468041,0.00097027555,0.00022904521,0.00018751851,0.0012758642,0.0010163581,0.15121713],"genre_scores_gemma":[0.81996894,0.0009897755,0.1327661,0.00033092548,0.00022333575,0.00037621637,0.0028475674,0.00070178433,0.04179529],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982362,0.00018645875,0.00012066636,0.00047743865,0.0006723336,0.0003069246],"domain_scores_gemma":[0.99781334,0.00079701893,0.00032231616,0.00022229267,0.00058950786,0.00025548035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010338377,0.0010346659,0.0007106744,0.00415913,0.0026524817,0.0053664357,0.0013687328,0.0012847662,0.012240917],"category_scores_gemma":[0.005051174,0.0008450422,0.001999374,0.002315036,0.0038231593,0.006604278,0.0038538533,0.0029536532,0.0017234506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041789197,0.000034868066,0.00057679904,0.00006695674,0.000017399112,0.00046154571,0.0004966205,0.0016802393,0.0020274476,0.9851481,0.00075227633,0.008695907],"study_design_scores_gemma":[0.000022675715,0.00004089546,0.00072456663,0.000079679034,0.00003582091,0.0005204434,0.0008080835,0.0131718535,0.0048899925,0.95634925,0.023312857,0.00004378798],"about_ca_topic_score_codex":0.0034185103,"about_ca_topic_score_gemma":0.0033180665,"teacher_disagreement_score":0.012240917,"about_ca_system_score_codex":0.002636892,"about_ca_system_score_gemma":0.001261709,"threshold_uncertainty_score":0.04094994},"labels":[],"label_agreement":null},{"id":"W2594387873","doi":"10.1090/proc/13957","title":"Borel structurability by locally finite simplicial complexes","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Simplicial complex; Pure mathematics; Mathematics; Abstract simplicial complex; h-vector","score_opus":0.02370216118446176,"score_gpt":0.31187336002357413,"score_spread":0.28817119883911235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594387873","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6187904,0.0013572831,0.20560002,0.0015334359,0.00021013181,0.00007766477,0.0005168776,0.00089194,0.17102219],"genre_scores_gemma":[0.96598166,0.0003836296,0.014333777,0.00017812823,0.000093493894,0.00005786254,0.00052402954,0.0001847562,0.01826259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773324,0.00042042998,0.00012690446,0.00061592396,0.00075170083,0.0003518363],"domain_scores_gemma":[0.996216,0.0017206115,0.0003254386,0.000530507,0.0005358989,0.000671543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011074787,0.00081763475,0.00071337784,0.002083649,0.0022414578,0.0045826696,0.0010502758,0.0009596486,0.012196327],"category_scores_gemma":[0.0045599,0.0005383424,0.0012867581,0.0010077414,0.0039249947,0.006205593,0.004547132,0.0027311877,0.0018901232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026442041,0.000019010338,0.00041683024,0.000040568542,0.000012165316,0.00014600252,0.0006635564,0.00084390055,0.0018043293,0.991565,0.00051639666,0.0039457884],"study_design_scores_gemma":[0.000020424182,0.000044002576,0.0011537777,0.0000341221,0.000026721254,0.0002523721,0.0004806683,0.009832878,0.00475951,0.9705884,0.012775126,0.000032059877],"about_ca_topic_score_codex":0.0026290521,"about_ca_topic_score_gemma":0.002054771,"teacher_disagreement_score":0.012196327,"about_ca_system_score_codex":0.0020392926,"about_ca_system_score_gemma":0.00046031203,"threshold_uncertainty_score":0.04080081},"labels":[],"label_agreement":null},{"id":"W2594552204","doi":"10.1090/proc/13494","title":"Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","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":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Holonomy; Laplace operator; Mathematics; Pure mathematics; Geology; Mathematical analysis","score_opus":0.04485770964931054,"score_gpt":0.35585037193894975,"score_spread":0.31099266228963923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2594552204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53430915,0.002277756,0.22915322,0.0023198142,0.0011079743,0.00011563263,0.00043474726,0.00068580767,0.22959584],"genre_scores_gemma":[0.95587957,0.00070277374,0.019896174,0.0003749099,0.00050309306,0.00007691144,0.00025848625,0.00038339643,0.0219247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914145,0.00021267601,0.00005510446,0.00014960943,0.00029557056,0.00014549763],"domain_scores_gemma":[0.99827516,0.000604309,0.00020041548,0.00013697788,0.0005129408,0.00027024205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012144702,0.00069834513,0.00057735445,0.0036673967,0.0012559335,0.0027060953,0.0013318495,0.0008198423,0.009979348],"category_scores_gemma":[0.0050582723,0.0003050853,0.0008291032,0.0012898779,0.0017513811,0.0042836475,0.0018817792,0.0015715805,0.0012921059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016632765,0.000019287942,0.00041748816,0.000046766803,0.0000058262617,0.00010062362,0.00016720817,0.00054015935,0.0007436973,0.9911266,0.0012980575,0.0055175913],"study_design_scores_gemma":[0.000009661779,0.000032878837,0.0008608662,0.000021816886,0.000011753613,0.00024136786,0.00018631232,0.0139082065,0.0011170576,0.9796525,0.0039370335,0.000020409248],"about_ca_topic_score_codex":0.0013033747,"about_ca_topic_score_gemma":0.0013785718,"teacher_disagreement_score":0.009979348,"about_ca_system_score_codex":0.0016777344,"about_ca_system_score_gemma":0.00058372115,"threshold_uncertainty_score":0.033384204},"labels":[],"label_agreement":null},{"id":"W2600749897","doi":"10.1090/proc/13786","title":"Groups with locally modular homogeneous pregeometries are commutative","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Homogeneous; Modular design; Commutative property; Mathematics; Pure mathematics; Algebra over a field; Computer science; Combinatorics; Programming language","score_opus":0.02720463793194969,"score_gpt":0.3024043568790115,"score_spread":0.2751997189470618,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2600749897","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83498067,0.0014718084,0.087560266,0.0025346405,0.00023497536,0.000053335647,0.00031171038,0.00023685783,0.07261577],"genre_scores_gemma":[0.98696005,0.00042285162,0.0066122734,0.00022340589,0.00023984646,0.000034053748,0.00019079128,0.00001933283,0.0052973274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990382,0.00021737437,0.000067447356,0.00031455635,0.00022772753,0.0001347861],"domain_scores_gemma":[0.99700207,0.0013234665,0.00057585194,0.00037503685,0.00037478082,0.00034886374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013974673,0.0003662188,0.0006473504,0.0006925582,0.0011251636,0.0017135539,0.00044733312,0.00059972616,0.004540278],"category_scores_gemma":[0.0029949197,0.00036375737,0.00053696975,0.0005062507,0.003582016,0.0042481315,0.0022496744,0.0011620125,0.00075565005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009698495,0.000023551438,0.0021072451,0.00010815761,0.000037980146,0.00023648656,0.0009740791,0.00062894274,0.005633384,0.98267555,0.001081539,0.0063959826],"study_design_scores_gemma":[0.000032132957,0.00006903453,0.003137154,0.000016978138,0.000039963805,0.0006954431,0.0005487296,0.0014358939,0.0045814794,0.9824822,0.0069432477,0.000017826378],"about_ca_topic_score_codex":0.0002236295,"about_ca_topic_score_gemma":0.00025785295,"teacher_disagreement_score":0.004540278,"about_ca_system_score_codex":0.00048705188,"about_ca_system_score_gemma":0.00034542853,"threshold_uncertainty_score":0.015188694},"labels":[],"label_agreement":null},{"id":"W2602523190","doi":"10.1090/proc/13820","title":"Smallest order closed sublattices and option spanning","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Order (exchange); Mathematics; Combinatorics; Economics; Finance","score_opus":0.03341368059358261,"score_gpt":0.3259328654248897,"score_spread":0.29251918483130707,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2602523190","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2632198,0.0017727241,0.62502486,0.0031919335,0.00033825333,0.00015731128,0.0014069993,0.0013054978,0.10358261],"genre_scores_gemma":[0.72805977,0.00063673954,0.24361405,0.0004920328,0.00021589412,0.00014101346,0.0019418775,0.00038608498,0.02451246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760145,0.0005653311,0.00021710669,0.0005814555,0.0006992501,0.00033529848],"domain_scores_gemma":[0.9965186,0.0016843149,0.00029718695,0.00034689618,0.0007453588,0.00040761745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020649573,0.0005472875,0.0008622705,0.0018088408,0.0026077516,0.003861828,0.001158478,0.00086372346,0.009136669],"category_scores_gemma":[0.0067492207,0.00057710137,0.0013916721,0.0015712155,0.002520339,0.006440555,0.0027092,0.0016200305,0.0014025063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055388067,0.000023619014,0.00046460037,0.0000769472,0.000009938785,0.00012874416,0.0004458056,0.0011928824,0.0012892815,0.98044807,0.0017416691,0.014122969],"study_design_scores_gemma":[0.0000123427535,0.000016851844,0.00020950379,0.000025480615,0.000008201608,0.00013501334,0.00043201097,0.008272435,0.0013048736,0.9818601,0.007704925,0.000018355204],"about_ca_topic_score_codex":0.0037000652,"about_ca_topic_score_gemma":0.0046176068,"teacher_disagreement_score":0.009136669,"about_ca_system_score_codex":0.0020274904,"about_ca_system_score_gemma":0.0012642461,"threshold_uncertainty_score":0.030565202},"labels":[],"label_agreement":null},{"id":"W2605583327","doi":"10.1090/proc/14194","title":"Faithfulness of bifree product states","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"MacEwan University; University of Manitoba","funders":"","keywords":"Converse; Tensor product; Free product; Product (mathematics); Unital; Mathematics; State (computer science); Pure mathematics; Combinatorics; Algebra over a field; Physics; Quantum mechanics; Algorithm; Geometry","score_opus":0.03871387679442433,"score_gpt":0.3452397537448789,"score_spread":0.3065258769504546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605583327","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6265633,0.00034203706,0.29561707,0.0006225481,0.0002082438,0.000083321465,0.00045916977,0.0011434759,0.074960805],"genre_scores_gemma":[0.97887325,0.000077719036,0.014218275,0.00014362289,0.00006209108,0.00004849416,0.0003020598,0.00015392405,0.006120607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796873,0.000408589,0.00011149623,0.00053760846,0.0005118419,0.00046178835],"domain_scores_gemma":[0.99755126,0.0005497608,0.0001758323,0.00080200937,0.00061948365,0.0003016319],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017105882,0.00049518014,0.00051804516,0.0014246174,0.0020527118,0.002914734,0.0009832676,0.0010093696,0.006838351],"category_scores_gemma":[0.0044658124,0.00050237763,0.0010987164,0.00062782556,0.0030343106,0.005269016,0.0028210818,0.0017831002,0.00080529443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004944536,0.000020932628,0.0005022174,0.00001798271,0.000008321073,0.0000810547,0.00031911553,0.0005283621,0.0014755084,0.9932585,0.00038799172,0.0033505608],"study_design_scores_gemma":[0.000014389759,0.000057138946,0.0005511991,0.000017520144,0.0000203824,0.0002105679,0.00025319334,0.009868277,0.0046465,0.98131573,0.0030178544,0.000027196354],"about_ca_topic_score_codex":0.0016399402,"about_ca_topic_score_gemma":0.0013592035,"teacher_disagreement_score":0.006838351,"about_ca_system_score_codex":0.0013516202,"about_ca_system_score_gemma":0.0006917093,"threshold_uncertainty_score":0.02287656},"labels":[],"label_agreement":null},{"id":"W2605976791","doi":"10.1090/proc/13877","title":"A note on band-limited minorants of an Euclidean ball","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"University of Alberta","keywords":"Ball (mathematics); Euclidean geometry; Mathematics; Fourier transform; Euclidean distance; RADIUS; Mathematical analysis; Pure mathematics; Geometry; Computer science","score_opus":0.04016918143201457,"score_gpt":0.3281446903523803,"score_spread":0.2879755089203657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2605976791","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4368085,0.0032864644,0.48562092,0.0035329398,0.00044561265,0.00007546835,0.00029373282,0.0007142832,0.069222085],"genre_scores_gemma":[0.93293715,0.0008784981,0.051217113,0.00038314302,0.00025747035,0.00008841609,0.00022595738,0.00037018984,0.013642013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991253,0.00034963404,0.000034593504,0.00014539597,0.000222513,0.00012268242],"domain_scores_gemma":[0.99612963,0.0023171674,0.00038527782,0.0003105754,0.00034034648,0.0005169402],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024374805,0.0011190077,0.0010000727,0.0023845364,0.0012037181,0.002355269,0.0015399642,0.0012646833,0.0052746674],"category_scores_gemma":[0.014734462,0.00047400748,0.0009191192,0.0007912431,0.0036113157,0.0027138535,0.0032556308,0.002339429,0.0009499549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000918011,0.000017968016,0.00062973413,0.00007991419,0.000016035172,0.00013310618,0.00021648085,0.0052126003,0.002007248,0.98535013,0.0017380903,0.004506916],"study_design_scores_gemma":[0.000034783978,0.000099368546,0.00085237087,0.000068742935,0.000031241918,0.0003691585,0.00017956858,0.10883492,0.0027943917,0.88122445,0.0054647964,0.00004625154],"about_ca_topic_score_codex":0.0017651393,"about_ca_topic_score_gemma":0.0010118565,"teacher_disagreement_score":0.0052746674,"about_ca_system_score_codex":0.0013345839,"about_ca_system_score_gemma":0.0005550571,"threshold_uncertainty_score":0.017645478},"labels":[],"label_agreement":null},{"id":"W2606461813","doi":"10.1090/proc/13851","title":"Reverse Cholesky factorization and tensor products of nest algebras","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","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":"Simons Foundation","keywords":"Cholesky decomposition; Nest (protein structural motif); Incomplete Cholesky factorization; Factorization; Tensor (intrinsic definition); Mathematics; Minimum degree algorithm; Algebra over a field; Computer science; Pure mathematics; Biology; Physics; Algorithm","score_opus":0.034917100776342906,"score_gpt":0.3113506427696672,"score_spread":0.27643354199332426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606461813","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09001807,0.00040193545,0.8846006,0.0004260827,0.00020507544,0.00006220773,0.00023123072,0.00036446276,0.023690367],"genre_scores_gemma":[0.8098004,0.0006243187,0.16022578,0.00039720876,0.00040146842,0.0001469803,0.00047271082,0.0003873621,0.02754372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986702,0.00029186628,0.00007910677,0.00026927315,0.0004387415,0.00025091745],"domain_scores_gemma":[0.9973895,0.0005657804,0.00049869466,0.0004735584,0.0007010336,0.00037145647],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013948819,0.00090758386,0.00067347666,0.0008510553,0.0010201227,0.0017931884,0.00069332623,0.00055120053,0.008722938],"category_scores_gemma":[0.005776362,0.00035239023,0.0011142291,0.0006806773,0.0025220348,0.0044648624,0.0017447385,0.0018904182,0.0020683154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050319457,0.0000375951,0.000340379,0.00006168151,0.000015262161,0.00016749608,0.00026822012,0.0040965807,0.004481167,0.97885394,0.0014361739,0.010191324],"study_design_scores_gemma":[0.000011501977,0.000058934806,0.0002080959,0.000018967386,0.000011563325,0.00020411845,0.00008347378,0.03895209,0.004064383,0.9520578,0.0042988975,0.000030305375],"about_ca_topic_score_codex":0.0010723538,"about_ca_topic_score_gemma":0.001075197,"teacher_disagreement_score":0.008722938,"about_ca_system_score_codex":0.000624464,"about_ca_system_score_gemma":0.0009317376,"threshold_uncertainty_score":0.029181123},"labels":[],"label_agreement":null},{"id":"W2612945047","doi":"10.1090/proc/13834","title":"Classification of Harish-Chandra Modules for Current Algebras","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Current (fluid); Algebra over a field; Mathematics; Pure mathematics; Physics","score_opus":0.055115005630236906,"score_gpt":0.3371660361882823,"score_spread":0.28205103055804537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612945047","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4120509,0.0033931471,0.2900666,0.00224192,0.00079677283,0.00028914856,0.001068084,0.0020176652,0.28807575],"genre_scores_gemma":[0.8874223,0.0011624001,0.031009197,0.0004591586,0.00062602176,0.00018246337,0.000919881,0.00043346602,0.07778507],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863213,0.00020765456,0.00009882276,0.00024509372,0.0005327198,0.0002835766],"domain_scores_gemma":[0.99884677,0.00020223991,0.00012080697,0.00014108943,0.00040797133,0.00028111294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010670023,0.0007421404,0.00074356294,0.003745657,0.001903618,0.0042584897,0.001346579,0.00081206055,0.014362435],"category_scores_gemma":[0.0018931428,0.00045761507,0.0008889481,0.001980462,0.002591317,0.006476065,0.002419295,0.0017787556,0.0030937674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013405559,0.000014804875,0.00025404384,0.000034588484,0.0000078531575,0.000046352703,0.0003471851,0.00014021527,0.000751018,0.9874358,0.0019980122,0.008956682],"study_design_scores_gemma":[0.00001588893,0.000029063125,0.0007335139,0.000020288344,0.000015351396,0.00025693173,0.00022589714,0.0023856773,0.00212438,0.97168845,0.022472657,0.000031879226],"about_ca_topic_score_codex":0.00083017204,"about_ca_topic_score_gemma":0.00058879564,"teacher_disagreement_score":0.014362435,"about_ca_system_score_codex":0.0012567388,"about_ca_system_score_gemma":0.00083196524,"threshold_uncertainty_score":0.048047125},"labels":[],"label_agreement":null},{"id":"W2685816283","doi":"10.1090/proc/13959","title":"Large sets avoiding linear patterns","year":2017,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Universidad de Buenos Aires; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Countable set; Set (abstract data type); Dimension (graph theory); Mathematics; Function (biology); Discrete mathematics; Combinatorics; Computer science","score_opus":0.033726581929965645,"score_gpt":0.3198483688307966,"score_spread":0.28612178690083095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2685816283","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1388458,0.0018894086,0.62691194,0.009731155,0.0007686503,0.00020678433,0.002905441,0.0032949673,0.21544585],"genre_scores_gemma":[0.73322433,0.0016878379,0.16028307,0.0048334245,0.000911536,0.0007349867,0.0049325265,0.0018413163,0.09155085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99426234,0.0010894899,0.00049641856,0.0018013878,0.0016258894,0.0007244895],"domain_scores_gemma":[0.9811311,0.0118437195,0.0013190005,0.0032163402,0.0017656129,0.00072429626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030333053,0.0012505632,0.0015169161,0.0028580094,0.0034404167,0.006638323,0.0023212424,0.0025971604,0.02942302],"category_scores_gemma":[0.021054,0.0015469489,0.0031879127,0.0031536391,0.004332331,0.015537431,0.009221404,0.0055558467,0.006318701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004836142,0.000036973102,0.0007751765,0.0001463873,0.000035273923,0.0002497633,0.00037240295,0.0023597286,0.0007381741,0.9770349,0.006180732,0.012022255],"study_design_scores_gemma":[0.000013138621,0.00001131387,0.00012871866,0.00002995481,0.000014257377,0.00019834346,0.00009796257,0.0076734684,0.0005754788,0.9859825,0.005263841,0.000011076519],"about_ca_topic_score_codex":0.001772044,"about_ca_topic_score_gemma":0.0024647966,"teacher_disagreement_score":0.02942302,"about_ca_system_score_codex":0.002809954,"about_ca_system_score_gemma":0.0014375485,"threshold_uncertainty_score":0.09842986},"labels":[],"label_agreement":null},{"id":"W2747502945","doi":"10.1090/proc/14166","title":"A polynomial time knot polynomial","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Nederlandse Organisatie voor Wetenschappelijk Onderzoek","keywords":"Knot polynomial; HOMFLY polynomial; Alexander polynomial; Knot (papermaking); Mathematics; Jones polynomial; Knot invariant; Time complexity; Alternating polynomial; Reciprocal polynomial; Polynomial; Matrix polynomial; Quantum invariant; Combinatorics; Knot theory; Square-free polynomial; Mathematical analysis; Engineering","score_opus":0.01691186954508481,"score_gpt":0.27789045416714614,"score_spread":0.2609785846220613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2747502945","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.079005554,0.00118777,0.80150753,0.0017166991,0.000992066,0.00014903948,0.0013448182,0.008934224,0.105162315],"genre_scores_gemma":[0.77706754,0.0011899271,0.18396774,0.0005907297,0.0008103129,0.0001000219,0.0020721373,0.0014565631,0.032745086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99840456,0.00008422254,0.00006020537,0.00046445196,0.0005390695,0.0004474828],"domain_scores_gemma":[0.9984276,0.0004658116,0.00010534106,0.0006680371,0.00018885668,0.00014426967],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000627907,0.00090231164,0.00085899024,0.00093535904,0.0014626642,0.003519811,0.001890323,0.00090508856,0.026998457],"category_scores_gemma":[0.0033792707,0.00044263515,0.0014941663,0.0016447086,0.0021954286,0.007233791,0.004190683,0.0038032655,0.00807795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057887856,0.00031192452,0.0009968462,0.00064404606,0.000049192568,0.00020131403,0.00042471016,0.016334672,0.020383554,0.6996451,0.031563837,0.2288659],"study_design_scores_gemma":[0.00016112269,0.0003725824,0.0008323811,0.0001028142,0.00014974852,0.000570887,0.00015729725,0.06634188,0.022610243,0.81093967,0.09761804,0.00014333912],"about_ca_topic_score_codex":0.0017860273,"about_ca_topic_score_gemma":0.0026646992,"teacher_disagreement_score":0.026998457,"about_ca_system_score_codex":0.0017305821,"about_ca_system_score_gemma":0.0014649642,"threshold_uncertainty_score":0.09031886},"labels":[],"label_agreement":null},{"id":"W2757474322","doi":"10.1090/proc/14108","title":"Equilibrium states and growth of quasi-lattice ordered monoids","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicative function; Homomorphism; Polynomial; Monoid; Inverse; Logarithm; Series (stratigraphy); Interval (graph theory); Toeplitz matrix","score_opus":0.025172935119238113,"score_gpt":0.3240469870747771,"score_spread":0.29887405195553896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2757474322","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76728994,0.00047167757,0.17625666,0.0012633555,0.00015362071,0.00008460795,0.0005450354,0.00094139454,0.052993678],"genre_scores_gemma":[0.95143527,0.00020415995,0.02798,0.0001547981,0.0000737154,0.00014431453,0.00034741315,0.00017400552,0.019486366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880135,0.00027624532,0.00009137168,0.00026832076,0.00031965598,0.00024300108],"domain_scores_gemma":[0.99720204,0.0009650618,0.00027986453,0.00030603405,0.00073194806,0.0005151779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012677074,0.0004049267,0.00048849767,0.0018693926,0.0017997468,0.0035054868,0.0010371647,0.0008929371,0.009967545],"category_scores_gemma":[0.005059523,0.0004959534,0.0008501213,0.00072494143,0.0022846751,0.005426004,0.0021850169,0.0011768815,0.0017255701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007572475,0.000036189616,0.0006994407,0.000038116435,0.000007725139,0.00016327699,0.0005759789,0.0021536318,0.004068955,0.9868406,0.00069280464,0.0046475683],"study_design_scores_gemma":[0.000045845583,0.00006539491,0.0008456683,0.00003060628,0.000012665997,0.00026454672,0.00067776325,0.046780195,0.0071383524,0.93929386,0.004801457,0.00004351967],"about_ca_topic_score_codex":0.0020220687,"about_ca_topic_score_gemma":0.0015889836,"teacher_disagreement_score":0.009967545,"about_ca_system_score_codex":0.00235006,"about_ca_system_score_gemma":0.0009334045,"threshold_uncertainty_score":0.033344746},"labels":[],"label_agreement":null},{"id":"W2764791499","doi":"","title":"Two Fσδ ideals","year":2003,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","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":"York University","funders":"","keywords":"Mathematics; Quotient; Homogeneous; Combinatorics; Ideal (ethics); Discrete mathematics; Pure mathematics; Epistemology; Philosophy","score_opus":0.012445763625284588,"score_gpt":0.26068434484902114,"score_spread":0.24823858122373654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2764791499","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75741416,0.0006310258,0.090592556,0.002144885,0.00047861025,0.00016080518,0.00043897238,0.00030640754,0.14783247],"genre_scores_gemma":[0.9467491,0.0002011379,0.026890358,0.00023595443,0.0000684793,0.00006838023,0.00041910764,0.000048685913,0.02531869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986884,0.00012428567,0.000038739465,0.00026448586,0.00045858586,0.00042558447],"domain_scores_gemma":[0.9988997,0.00022093835,0.00010209117,0.00015395369,0.00032900606,0.00029433693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007932369,0.0004817884,0.0004141712,0.001223827,0.0014338598,0.0021404314,0.0008717182,0.0009456659,0.006082741],"category_scores_gemma":[0.0024277568,0.00036552746,0.0004959019,0.0004945019,0.0025260334,0.0030230684,0.0022054068,0.0015094113,0.00080504274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053059874,0.00019666484,0.0080091925,0.00013447058,0.000037574362,0.0013706904,0.0020636623,0.0007132038,0.03057546,0.91677463,0.0038322723,0.035761558],"study_design_scores_gemma":[0.00012802986,0.00015575801,0.009693203,0.00009340371,0.000064836604,0.002416881,0.0039548,0.005673091,0.048872095,0.8686977,0.06017754,0.00007261604],"about_ca_topic_score_codex":0.0016517964,"about_ca_topic_score_gemma":0.0013597173,"teacher_disagreement_score":0.006082741,"about_ca_system_score_codex":0.0019540165,"about_ca_system_score_gemma":0.0008566317,"threshold_uncertainty_score":0.020348787},"labels":[],"label_agreement":null},{"id":"W2765008581","doi":"","title":"A note on triangular derivations of k[X~1,X~2,X~3,X~4]","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Integer (computer science); Mathematics; Field (mathematics); Zero (linguistics); Ring (chemistry); Combinatorics; Finitely-generated abelian group; Construct (python library); Discrete mathematics; Pure mathematics; Chemistry; Computer science","score_opus":0.028838942700164207,"score_gpt":0.3142923314668688,"score_spread":0.2854533887667046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765008581","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24842758,0.0041711293,0.33344245,0.0059373663,0.0023522915,0.00020612347,0.0007136955,0.00092422636,0.4038251],"genre_scores_gemma":[0.7329187,0.0048533776,0.17216668,0.0017953749,0.0005272514,0.00009274912,0.0007470038,0.00034042247,0.08655843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997552,0.00004899671,0.000020293983,0.000042413914,0.00008745936,0.000045630906],"domain_scores_gemma":[0.9995679,0.00016050572,0.000033483306,0.000091435526,0.00007429091,0.000072407995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040191202,0.00034662304,0.00035464202,0.00038565364,0.0011047513,0.00089189335,0.00064807606,0.0003506294,0.006789019],"category_scores_gemma":[0.001009624,0.00019729315,0.0004745936,0.00065663934,0.001181955,0.0023283272,0.0018130781,0.0017557007,0.0015192797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007082252,0.000032527958,0.0005292504,0.00012275584,0.0000069322286,0.0005912791,0.00063978176,0.0008794697,0.006254266,0.94999504,0.0068575,0.034020476],"study_design_scores_gemma":[0.000023856528,0.00011970749,0.0008372521,0.00004549021,0.000024256538,0.0011040926,0.0002997229,0.0053677117,0.010934771,0.89077586,0.09042002,0.00004733532],"about_ca_topic_score_codex":0.0012550306,"about_ca_topic_score_gemma":0.0027618338,"teacher_disagreement_score":0.006789019,"about_ca_system_score_codex":0.00044975488,"about_ca_system_score_gemma":0.000395977,"threshold_uncertainty_score":0.022711575},"labels":[],"label_agreement":null},{"id":"W2765879657","doi":"10.1090/proc/14431","title":"Infinite monochromatic sumsets for colourings of the reals","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Hungarian Scientific Research Fund; Austrian Science Fund; Pacific Institute for the Mathematical Sciences","keywords":"Monochromatic color; Mathematics; Combinatorics; Finite set; Constant (computer programming); Consistency (knowledge bases); Set (abstract data type); Ramsey theory; Discrete mathematics; Physics; Mathematical analysis; Computer science; Optics","score_opus":0.03626951311503093,"score_gpt":0.33330857957652155,"score_spread":0.2970390664614906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765879657","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05559361,0.0016253273,0.8439377,0.002368296,0.0012269345,0.00013391308,0.0013360801,0.0023973463,0.09138089],"genre_scores_gemma":[0.50016624,0.0011243328,0.4299673,0.002203,0.0006639342,0.00036929263,0.0019202598,0.0031800622,0.060405552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99558735,0.0010682533,0.0004209736,0.0010807536,0.0013213302,0.0005213887],"domain_scores_gemma":[0.9939666,0.002956821,0.00035536964,0.0012565805,0.0012311349,0.00023351228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032552409,0.0009684094,0.000868203,0.002013448,0.0026080331,0.004607991,0.0015920474,0.0011359146,0.009899092],"category_scores_gemma":[0.0102180205,0.0012934998,0.003099647,0.0016552071,0.0038807273,0.008065271,0.0035708023,0.0036719684,0.0030898254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006560333,0.000014186484,0.00017426816,0.00007104026,0.000018949751,0.00009209782,0.00027356602,0.0011248009,0.0017350129,0.9829678,0.0032322842,0.0102304425],"study_design_scores_gemma":[0.000018272016,0.000012563084,0.00011891535,0.000037962713,0.000022106062,0.0000741561,0.00008407756,0.0037397044,0.002975048,0.9747331,0.018157722,0.00002636943],"about_ca_topic_score_codex":0.0033077549,"about_ca_topic_score_gemma":0.005460191,"teacher_disagreement_score":0.009899092,"about_ca_system_score_codex":0.0035379685,"about_ca_system_score_gemma":0.0011488742,"threshold_uncertainty_score":0.033115745},"labels":[],"label_agreement":null},{"id":"W2771722566","doi":"10.1090/proc/13842","title":"Expansion by orthogonal systems with respect to Freud weights related to Hardy spaces","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Alpha (finance); Combinatorics; Mathematics; Norm (philosophy); Orthogonal polynomials; Degree (music); Physics; Statistics; Philosophy","score_opus":0.028773501009832,"score_gpt":0.3382729499048165,"score_spread":0.3094994488949845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2771722566","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3767664,0.0021389432,0.5444894,0.000996484,0.000617499,0.00007430407,0.0001900601,0.0001814061,0.074545495],"genre_scores_gemma":[0.8641051,0.0022230116,0.07531106,0.00035466295,0.0009145373,0.00019817377,0.0002625083,0.00032954788,0.056301445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993236,0.0002400123,0.000022670778,0.00009947024,0.00019223301,0.00012200152],"domain_scores_gemma":[0.9990096,0.00032465195,0.00016493704,0.00008699017,0.00025104175,0.0001627843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014695304,0.0009909596,0.00048074062,0.0024541006,0.0007028751,0.0018485483,0.00079052366,0.00066232204,0.0056333924],"category_scores_gemma":[0.0037075507,0.0004078485,0.0006165748,0.0010297088,0.002008837,0.0030702413,0.0019793361,0.0017321819,0.00079366553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002040545,0.0000113226615,0.00018603125,0.000026443586,0.000005912652,0.00002667799,0.0001328385,0.0016716702,0.0019669353,0.9888172,0.00065742264,0.006477212],"study_design_scores_gemma":[0.000015137812,0.000057149333,0.0007798333,0.000034066445,0.000012743644,0.0001632514,0.00014240628,0.08368593,0.0019803755,0.9067353,0.0063569676,0.00003686775],"about_ca_topic_score_codex":0.000896536,"about_ca_topic_score_gemma":0.00089948537,"teacher_disagreement_score":0.0056333924,"about_ca_system_score_codex":0.0011390733,"about_ca_system_score_gemma":0.00060489436,"threshold_uncertainty_score":0.018845558},"labels":[],"label_agreement":null},{"id":"W2772783639","doi":"10.1090/proc/13887","title":"Helson Sets of Synthesis Are Ditkin Sets","year":2017,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Computer science","score_opus":0.03721482035273651,"score_gpt":0.3135187721006351,"score_spread":0.2763039517478986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2772783639","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06979994,0.0017887993,0.42768517,0.002125963,0.0008453526,0.00015899907,0.0021990817,0.003625673,0.49177098],"genre_scores_gemma":[0.64957136,0.0010420507,0.0997192,0.0011186552,0.00036841552,0.00038560713,0.002622182,0.0015195048,0.24365306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839157,0.00032426734,0.00013439616,0.0004621823,0.0004535581,0.00023402188],"domain_scores_gemma":[0.99804914,0.0007538211,0.00014774661,0.00040812168,0.00049787865,0.00014322893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097271404,0.0009801843,0.0007364587,0.002558105,0.0023470616,0.005051711,0.00093128544,0.001226111,0.039817806],"category_scores_gemma":[0.0035753674,0.0007527278,0.0013764375,0.0014479933,0.0026527455,0.0072358046,0.0033297737,0.0021627448,0.00891175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005121865,0.000011958397,0.00016154125,0.0000739975,0.000014930857,0.00006133227,0.00033663012,0.0009807808,0.0011035195,0.98212874,0.0024910336,0.012584374],"study_design_scores_gemma":[0.000023707504,0.000027366603,0.0002197062,0.000056046214,0.0000235779,0.000085962805,0.00041895668,0.0032172238,0.0033662494,0.93940985,0.053122696,0.000028629125],"about_ca_topic_score_codex":0.0014592627,"about_ca_topic_score_gemma":0.0023087787,"teacher_disagreement_score":0.039817806,"about_ca_system_score_codex":0.0030082974,"about_ca_system_score_gemma":0.00096067495,"threshold_uncertainty_score":0.13320386},"labels":[],"label_agreement":null},{"id":"W2780609678","doi":"10.1090/proc/14583","title":"On inductive limit spectral triples","year":2019,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University; University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Limit (mathematics); Spectral properties; Spectral analysis; Mathematics; Physics; Pure mathematics; Mathematical physics; Mathematical analysis; Quantum mechanics; Spectroscopy; Astrophysics","score_opus":0.03475117992360113,"score_gpt":0.30365720044768924,"score_spread":0.2689060205240881,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2780609678","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019966833,0.0011287215,0.8011804,0.00228891,0.0009088052,0.00015346696,0.0017430556,0.0037659446,0.16886395],"genre_scores_gemma":[0.4853864,0.0018966534,0.37720793,0.004068784,0.0014063441,0.0008989771,0.0065433146,0.0059629166,0.11662857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951623,0.0015000362,0.00029556995,0.001071794,0.0012758876,0.00069447875],"domain_scores_gemma":[0.9950296,0.002088412,0.00020119018,0.0007596716,0.0015406843,0.00038047027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041650594,0.0014344417,0.0009821482,0.004222251,0.004479732,0.0049753976,0.002276853,0.0015625383,0.030703591],"category_scores_gemma":[0.0094449585,0.0012171047,0.0030131955,0.0026148378,0.00494363,0.013569704,0.009618014,0.004468891,0.012211732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034266966,0.000023401606,0.00029922134,0.000090442154,0.00001614034,0.00014861333,0.00051853096,0.0005579948,0.00064866524,0.9788648,0.00713884,0.011658951],"study_design_scores_gemma":[0.000008050092,0.000014681947,0.00013885835,0.000042453245,0.000014347572,0.0001275937,0.00022235299,0.0025846313,0.0014672492,0.96869826,0.026660196,0.000021411974],"about_ca_topic_score_codex":0.0032815556,"about_ca_topic_score_gemma":0.0041412106,"teacher_disagreement_score":0.030703591,"about_ca_system_score_codex":0.0033085851,"about_ca_system_score_gemma":0.0012183464,"threshold_uncertainty_score":0.10271376},"labels":[],"label_agreement":null},{"id":"W2794483192","doi":"10.1090/proc/14306","title":"Index estimate of self-shrinkers in $\\mathbb {R}^3$ with asymptotically conical ends","year":2018,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conical surface; Mathematics; Morse code; Gaussian; Index (typography); Infimum and supremum; Mathematical analysis; Norm (philosophy); Combinatorics; Pure mathematics; Geometry; Physics; Computer science; Quantum mechanics; Law","score_opus":0.022212190204687378,"score_gpt":0.29695080742031704,"score_spread":0.27473861721562964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794483192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8610541,0.00025357647,0.12538938,0.00022170889,0.000045422672,0.000029078521,0.00006402569,0.00010304857,0.012839508],"genre_scores_gemma":[0.9772929,0.00017442042,0.016477957,0.0000665623,0.00009407248,0.00003608181,0.00013347503,0.000063451764,0.0056612445],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99944633,0.00009723376,0.000025330637,0.00011738734,0.00021591557,0.000097792465],"domain_scores_gemma":[0.99723345,0.00076322653,0.0006053503,0.00026999225,0.00055361993,0.0005744351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011847866,0.00076377543,0.000806147,0.002610176,0.0008990874,0.0015396836,0.0012781869,0.0010607258,0.0023032713],"category_scores_gemma":[0.004450496,0.0004387136,0.00074244704,0.00045272044,0.0022585113,0.00265638,0.0035560017,0.0015968325,0.00037938112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017223507,0.00008880288,0.015045633,0.00011899037,0.00006053636,0.0006737099,0.001176296,0.016065823,0.02356305,0.92717904,0.0015121546,0.014343764],"study_design_scores_gemma":[0.000038149577,0.00031354796,0.015967349,0.00006968167,0.00006629918,0.0011392608,0.0008605265,0.2585806,0.021397715,0.69571465,0.005740817,0.000111323825],"about_ca_topic_score_codex":0.0005362087,"about_ca_topic_score_gemma":0.00045498484,"teacher_disagreement_score":0.002610176,"about_ca_system_score_codex":0.00076359167,"about_ca_system_score_gemma":0.00023074728,"threshold_uncertainty_score":0.0077052116},"labels":[],"label_agreement":null},{"id":"W2801537193","doi":"10.1090/proc/13900","title":"A remark on the Lang-Trotter and Artin conjectures","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Queen's University","funders":"","keywords":"Mathematics; Conjecture; Combinatorics; Omega; Rank (graph theory); Square root; Finite field; Cube root; Discrete mathematics; Geometry; Physics; Quantum mechanics","score_opus":0.019034705986512974,"score_gpt":0.27388687467377554,"score_spread":0.25485216868726257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801537193","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15301713,0.012299564,0.13738413,0.0993335,0.0077834465,0.00007736305,0.0009537351,0.0011133769,0.5880378],"genre_scores_gemma":[0.916223,0.004182774,0.024501044,0.008630979,0.00519523,0.00012611912,0.00045319935,0.00014262726,0.040545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970866,0.00075337023,0.0001568287,0.0008445325,0.00080158765,0.00035716777],"domain_scores_gemma":[0.99203813,0.0044414965,0.0005010885,0.001639718,0.0008506464,0.00052889745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005530424,0.00068385125,0.0011434272,0.0013908995,0.0028953846,0.002789222,0.0018451018,0.0021237715,0.015186986],"category_scores_gemma":[0.012354392,0.00036010187,0.00096911786,0.0012243312,0.012282105,0.009871603,0.0050012525,0.005872614,0.0023152428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003454135,0.000011968952,0.00041473267,0.00007537469,0.00000651097,0.00014385932,0.00035863792,0.00042670147,0.00023309844,0.98592675,0.007596707,0.004771043],"study_design_scores_gemma":[0.000019078074,0.00002187533,0.0004505832,0.000043263983,0.000006830814,0.00021743246,0.00011573792,0.0012012137,0.0002937373,0.9744951,0.023114817,0.00002021683],"about_ca_topic_score_codex":0.0013200627,"about_ca_topic_score_gemma":0.0008478534,"teacher_disagreement_score":0.015186986,"about_ca_system_score_codex":0.000931415,"about_ca_system_score_gemma":0.00061716506,"threshold_uncertainty_score":0.05080557},"labels":[],"label_agreement":null},{"id":"W2803704614","doi":"10.1090/proc/14066","title":"Representation theory of 𝐿_{𝑘}(𝔬𝔰𝔭(1|2)) from vertex tensor categories and Jacobi forms","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Department of Education and Training; Pacific Institute for the Mathematical Sciences","keywords":"Vertex operator algebra; Superalgebra; Vertex (graph theory); Mathematics; Operator algebra; Subalgebra; Central charge; Combinatorics; Operator (biology); Representation theory; Pure mathematics; Current algebra; Algebra over a field; Geometry","score_opus":0.021732333573143144,"score_gpt":0.2825433425946544,"score_spread":0.2608110090215113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2803704614","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24711496,0.0018403631,0.31822672,0.004290179,0.0011875873,0.00012479388,0.00058448204,0.0011918437,0.42543906],"genre_scores_gemma":[0.88649005,0.00073137996,0.044179168,0.0008137406,0.0006195473,0.00011752833,0.00045775558,0.00042878828,0.06616198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991134,0.00021822116,0.000038867438,0.00012725937,0.0002906267,0.00021173547],"domain_scores_gemma":[0.99947375,0.00011159656,0.00006339296,0.00009687729,0.00015011618,0.00010426943],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010382473,0.0007248016,0.0005643285,0.0017194387,0.0022253594,0.0033731435,0.0011918849,0.0012238164,0.010815775],"category_scores_gemma":[0.0014192646,0.00040506356,0.0013618823,0.0010908399,0.0030695568,0.005969325,0.0025588705,0.0021433756,0.0017388014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000037473912,0.00000392551,0.000030207706,0.000013130472,0.000001716103,0.000029375222,0.000116241106,0.00020484175,0.00018156735,0.9970908,0.0006494442,0.0016750625],"study_design_scores_gemma":[0.000002759301,0.0000051117077,0.000053250995,0.000007319502,0.0000017346985,0.00005029198,0.000053854656,0.0017389446,0.00019649438,0.9943362,0.003546723,0.000007304872],"about_ca_topic_score_codex":0.0019899001,"about_ca_topic_score_gemma":0.0014429031,"teacher_disagreement_score":0.010815775,"about_ca_system_score_codex":0.0020261952,"about_ca_system_score_gemma":0.0010933345,"threshold_uncertainty_score":0.036182344},"labels":[],"label_agreement":null},{"id":"W2886364687","doi":"10.1090/proc/14511","title":"Small time asymptotics for Brownian motion with singular drift","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"CAE (Canada)","funders":"","keywords":"Brownian motion; Mathematics; Reflected Brownian motion; Geometric Brownian motion; Statistical physics; Mathematical analysis; Classical mechanics; Physics; Diffusion process; Computer science; Statistics","score_opus":0.014112413926547619,"score_gpt":0.20038202906932398,"score_spread":0.18626961514277637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2886364687","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046796083,0.005127557,0.8642458,0.0063354233,0.0012723472,0.00008937664,0.0004239313,0.00069024327,0.07501929],"genre_scores_gemma":[0.75473905,0.008638217,0.115378104,0.003651503,0.00298056,0.00060983823,0.0010699907,0.001186152,0.111746594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980959,0.00055037375,0.00009063064,0.00037599745,0.0006361152,0.00025099184],"domain_scores_gemma":[0.99028355,0.0055173896,0.0008761589,0.0006187958,0.0016858539,0.0010181938],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0052527706,0.0014848857,0.0014677906,0.003567289,0.0014266872,0.0029997886,0.002552461,0.0019744686,0.009814728],"category_scores_gemma":[0.02327387,0.00061566517,0.0034433424,0.0014843958,0.0037301178,0.005340221,0.0047297943,0.006016177,0.0019671968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012536616,0.00001772403,0.00034326193,0.00008173684,0.000030785402,0.00012181843,0.00011082274,0.005427413,0.0007644421,0.98581624,0.0027034217,0.004569682],"study_design_scores_gemma":[0.000010010112,0.000024474344,0.00047275543,0.000055695407,0.000023928267,0.00012380794,0.000053709577,0.0986154,0.00037581316,0.8955855,0.004630901,0.000027999855],"about_ca_topic_score_codex":0.0032528576,"about_ca_topic_score_gemma":0.00216999,"teacher_disagreement_score":0.009814728,"about_ca_system_score_codex":0.002813632,"about_ca_system_score_gemma":0.002135524,"threshold_uncertainty_score":0.032833576},"labels":[],"label_agreement":null},{"id":"W2890319704","doi":"10.1090/proc/14849","title":"Undecidability of ℚ⁽²⁾","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","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":"Mount Royal University","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Universidad de Concepción","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.013634193187750257,"score_gpt":0.2617803355394272,"score_spread":0.24814614235167695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890319704","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21870172,0.0013383888,0.5668287,0.0118711805,0.0018013923,0.00078944233,0.0064507755,0.012845879,0.17937253],"genre_scores_gemma":[0.77249134,0.0008958649,0.1251435,0.0025790294,0.0007686753,0.0007655544,0.0124434,0.0022036606,0.08270894],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950294,0.0005194289,0.00036080708,0.0013459664,0.0015326808,0.0012117903],"domain_scores_gemma":[0.98797196,0.006312975,0.0007405889,0.00132571,0.0030164777,0.00063233596],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025897783,0.0014477038,0.00080254534,0.0015668104,0.0035099487,0.0053319475,0.0025402447,0.0019216377,0.0173358],"category_scores_gemma":[0.010674963,0.0016126167,0.004200271,0.0012702033,0.0043297894,0.009256842,0.0058807596,0.0067473287,0.00329009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004248076,0.00019311471,0.002790236,0.0005306696,0.00014325742,0.00090844545,0.0012914648,0.011320896,0.0048068175,0.9180288,0.022460671,0.037100874],"study_design_scores_gemma":[0.00007209927,0.00003743722,0.0004942866,0.00006353387,0.00008832911,0.000288314,0.00035762475,0.024883458,0.0066219512,0.9456398,0.021403564,0.000049548515],"about_ca_topic_score_codex":0.010323436,"about_ca_topic_score_gemma":0.010161142,"teacher_disagreement_score":0.0173358,"about_ca_system_score_codex":0.0043453868,"about_ca_system_score_gemma":0.0036932514,"threshold_uncertainty_score":0.057994008},"labels":[],"label_agreement":null},{"id":"W2890506501","doi":"10.1090/proc/14546","title":"Characterizations of cancellable groups","year":2019,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Abelian group; Conjecture; Combinatorics; Mathematics; Rank (graph theory); Torsion (gastropod); Pi; Group (periodic table); Discrete mathematics; Physics; Geometry","score_opus":0.018327363330125364,"score_gpt":0.28122252006439014,"score_spread":0.2628951567342648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890506501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42369527,0.0011422987,0.340221,0.0015256279,0.00065168424,0.0002262458,0.00097264297,0.0015333388,0.23003195],"genre_scores_gemma":[0.91376007,0.000318683,0.031293597,0.00041971786,0.00045229302,0.00021329582,0.001098235,0.0002685992,0.052175578],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998123,0.00037499546,0.00014442852,0.00038102065,0.0006642223,0.00031229868],"domain_scores_gemma":[0.9973354,0.000994392,0.0003176133,0.000339922,0.00069647067,0.00031626946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012248753,0.0008043806,0.00052516296,0.002360222,0.001768978,0.0026576016,0.0010003648,0.0007763681,0.016673777],"category_scores_gemma":[0.004161977,0.00035277038,0.00080660684,0.00083375926,0.0034356182,0.0037472518,0.0023543693,0.0013566059,0.0020806023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007199824,0.000028772956,0.000691342,0.000050800238,0.000014417966,0.00020794556,0.0005934426,0.00072736456,0.003222185,0.9855496,0.0013960205,0.0074461815],"study_design_scores_gemma":[0.000026068952,0.000058105466,0.0005168153,0.000025283987,0.000018933057,0.00035278747,0.00038527235,0.00500116,0.0036053811,0.9670961,0.022881785,0.000032308868],"about_ca_topic_score_codex":0.0012603292,"about_ca_topic_score_gemma":0.0013067997,"teacher_disagreement_score":0.016673777,"about_ca_system_score_codex":0.0014073236,"about_ca_system_score_gemma":0.00088653737,"threshold_uncertainty_score":0.055779338},"labels":[],"label_agreement":null},{"id":"W2890560972","doi":"10.1090/proc/14569","title":"Primes in prime number races","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Winston Churchill Foundation of the United States","keywords":"Prime number; Natural number; Riemann hypothesis; Prime (order theory); Logarithm; Class (philosophy); Number theory; Set (abstract data type)","score_opus":0.019690416960745312,"score_gpt":0.31553906704313767,"score_spread":0.29584865008239236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890560972","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13363896,0.0057776766,0.20921384,0.011804993,0.0018687084,0.00012223552,0.0009958146,0.002800543,0.6337772],"genre_scores_gemma":[0.8987971,0.001256298,0.027307104,0.0015532166,0.0010667673,0.00010308757,0.0005768905,0.0006180296,0.068721555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808407,0.0006637889,0.000078464465,0.0005275022,0.00032375503,0.0003224664],"domain_scores_gemma":[0.99693346,0.0016422636,0.00019565111,0.00074981863,0.0002618416,0.00021704657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020979403,0.00055535126,0.0010649124,0.0018486222,0.0027599733,0.0045558065,0.0007792176,0.0010721316,0.027257614],"category_scores_gemma":[0.009845648,0.00047640936,0.0012319565,0.0015548599,0.005134357,0.008075303,0.0039991345,0.0036716335,0.004216709],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041586896,0.000006370877,0.00016455939,0.000021442325,0.000004492327,0.00003927865,0.00019545582,0.00035904942,0.00014433578,0.9900962,0.0038836128,0.0050434857],"study_design_scores_gemma":[0.000018536666,0.000009026094,0.00019415824,0.0000142257095,0.000007776602,0.000070096554,0.000060744096,0.0013229015,0.00054578687,0.98214066,0.015607833,0.00000821879],"about_ca_topic_score_codex":0.0011214665,"about_ca_topic_score_gemma":0.000927601,"teacher_disagreement_score":0.027257614,"about_ca_system_score_codex":0.002017241,"about_ca_system_score_gemma":0.0010255622,"threshold_uncertainty_score":0.09118581},"labels":[],"label_agreement":null},{"id":"W2900102817","doi":"10.1090/proc/14436","title":"Some curvature estimates of Kähler-Ricci flow","year":2018,"lang":"de","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University Research Committee, University of Hong Kong","keywords":"Ricci flow; Curvature; Flow (mathematics); Ricci curvature; Geology; Mathematics; Physics; Mechanics; Geometry","score_opus":0.015994222562966072,"score_gpt":0.2719779558160724,"score_spread":0.25598373325310636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900102817","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28114057,0.008120885,0.5661858,0.0029498585,0.000524339,0.00014739828,0.00083712063,0.0012899956,0.13880411],"genre_scores_gemma":[0.9210296,0.003187733,0.040506426,0.0004028385,0.0005494494,0.00011755714,0.0007715606,0.0005834023,0.032851435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99925417,0.00020841898,0.000040557046,0.0001736121,0.00022129726,0.00010196302],"domain_scores_gemma":[0.9983222,0.00033683615,0.00020236592,0.00013203186,0.00063810794,0.0003685208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013921069,0.0017213409,0.0008428704,0.0041105635,0.0008406038,0.0013554061,0.0011743758,0.00086626696,0.0069859107],"category_scores_gemma":[0.00363312,0.00040989497,0.0012597584,0.0010007184,0.0017264434,0.0036675762,0.0027292466,0.0021263803,0.0015700916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064636624,0.00003773171,0.0016803908,0.0003989607,0.000073144474,0.0003458974,0.0007216681,0.010242413,0.013161901,0.94976646,0.005070461,0.01843638],"study_design_scores_gemma":[0.000022138822,0.00021125888,0.0076803025,0.00014822301,0.00014693005,0.00091885374,0.00052400446,0.15415244,0.011518196,0.805814,0.018678743,0.00018494495],"about_ca_topic_score_codex":0.0015486918,"about_ca_topic_score_gemma":0.0012263551,"teacher_disagreement_score":0.0069859107,"about_ca_system_score_codex":0.0017025499,"about_ca_system_score_gemma":0.00046404844,"threshold_uncertainty_score":0.023370147},"labels":[],"label_agreement":null},{"id":"W2900334155","doi":"10.1090/proc/14235","title":"Uniqueness and global stability of forced waves in a shifting environment","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":103,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Uniqueness; Monotone polygon; Stability (learning theory); Biological dispersal; Mathematics; Exponential stability; Diffusion; Extinction (optical mineralogy); Applied mathematics; Mathematical analysis; Computer science; Physics; Geometry; Nonlinear system; Demography","score_opus":0.020206571431176896,"score_gpt":0.28098358626713077,"score_spread":0.2607770148359539,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900334155","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4679953,0.00058927614,0.5224309,0.0012153885,0.000110433124,0.00007994941,0.00010516389,0.00007109579,0.0074024405],"genre_scores_gemma":[0.97192544,0.00038099036,0.0233689,0.00011543043,0.000051073897,0.00012873743,0.000064662236,0.000030594827,0.003934138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996815,0.00008773694,0.000019197449,0.000085597676,0.000071214614,0.000054739998],"domain_scores_gemma":[0.9985902,0.0006163495,0.00027304163,0.000084821186,0.00031440897,0.000121219964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011433803,0.0005583873,0.000470474,0.0007898588,0.0006898873,0.0009500219,0.00084794464,0.0008767195,0.0009891522],"category_scores_gemma":[0.004721693,0.000245971,0.001118987,0.0002047221,0.0018906406,0.0018470443,0.0022623204,0.0010546563,0.00011614019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002149264,0.00011844108,0.009739712,0.00031615797,0.00024497835,0.0019842926,0.0010858937,0.29385814,0.064732276,0.5969638,0.0014847214,0.029256618],"study_design_scores_gemma":[0.00003414001,0.000097792195,0.0018067472,0.000028458093,0.000030271707,0.00034484957,0.0002699421,0.8439894,0.004443977,0.14800362,0.0009089484,0.000041868963],"about_ca_topic_score_codex":0.0014198892,"about_ca_topic_score_gemma":0.0006244944,"teacher_disagreement_score":0.0014198892,"about_ca_system_score_codex":0.00047354502,"about_ca_system_score_gemma":0.0008191332,"threshold_uncertainty_score":0.0060468316},"labels":[],"label_agreement":null},{"id":"W2902937932","doi":"10.1090/proc/14888","title":"On free subgroups in division rings","year":2019,"lang":"fi","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Division ring; Mathematics; Quotient; Abelian group; Multiplicative function; Automorphism; Conjecture; Multiplicative group; Sigma; Pure mathematics; Division (mathematics); Combinatorics; Quotient group; Normal subgroup; Group (periodic table); Discrete mathematics; Cyclic group; Physics; Arithmetic; Mathematical analysis","score_opus":0.03196581535920062,"score_gpt":0.30954029654928483,"score_spread":0.2775744811900842,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902937932","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36355886,0.0080122715,0.11980808,0.006877478,0.0015811005,0.00016163007,0.0013256919,0.0012598818,0.4974151],"genre_scores_gemma":[0.8767147,0.002805112,0.016564,0.0010569948,0.001325546,0.0001471523,0.0011109106,0.00032198022,0.09995356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986571,0.00043747603,0.0000857077,0.00024573694,0.00026799127,0.00030599348],"domain_scores_gemma":[0.99892956,0.00044321854,0.00010881386,0.00017383532,0.00016610642,0.00017846657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013469285,0.0008718955,0.00087388005,0.0018866074,0.001869042,0.0029182062,0.0006073178,0.0007690203,0.014352699],"category_scores_gemma":[0.0023216147,0.0004185674,0.0012219533,0.001574466,0.0029293713,0.0057591596,0.0036235426,0.0017318487,0.0031426237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006818461,0.000020059988,0.0002896292,0.0000551223,0.0000108583445,0.00010017309,0.0006274309,0.00046231571,0.0007227915,0.98471963,0.0032182601,0.0097054895],"study_design_scores_gemma":[0.000028543078,0.00003295936,0.00034543255,0.000024069654,0.000010856909,0.000081188235,0.00022828988,0.00112718,0.00069702213,0.97911924,0.018292619,0.000012529926],"about_ca_topic_score_codex":0.0014632667,"about_ca_topic_score_gemma":0.0011114897,"teacher_disagreement_score":0.014352699,"about_ca_system_score_codex":0.0021859247,"about_ca_system_score_gemma":0.0008208479,"threshold_uncertainty_score":0.04801458},"labels":[],"label_agreement":null},{"id":"W2908159035","doi":"10.1090/proc/15242","title":"Transcendence bases, well-orderings of the reals and the axiom of choice","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"European Research Council","keywords":"Axiom of choice; Transcendence (philosophy); Axiom; Mathematics; Axiom independence; Mathematical economics; Zermelo–Fraenkel set theory; Computer science; Philosophy; Epistemology; Set (abstract data type); Set theory; Geometry; Programming language","score_opus":0.026172577691087443,"score_gpt":0.30153513891367373,"score_spread":0.2753625612225863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2908159035","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07482459,0.003289939,0.40547433,0.006995265,0.0014702906,0.00008395314,0.0009379071,0.00082983176,0.50609404],"genre_scores_gemma":[0.81267524,0.0025109705,0.08935581,0.0021189637,0.0009398708,0.00018996587,0.0012288166,0.00068074797,0.09029956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968035,0.0008305463,0.00020088605,0.0006417823,0.0008617746,0.00066143996],"domain_scores_gemma":[0.9953022,0.0021671304,0.00028988443,0.0007087892,0.0010598821,0.00047210252],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003162022,0.001433156,0.0008365944,0.0031190265,0.0028369022,0.0050417795,0.0013606133,0.0012490858,0.01717914],"category_scores_gemma":[0.0050640763,0.00094572856,0.002433251,0.0019548333,0.007980562,0.013082551,0.0047890926,0.005539802,0.0045082625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010760269,0.000006650194,0.000033418888,0.00001318622,0.0000037937366,0.000026363175,0.00011685838,0.00011078394,0.00016368729,0.99673766,0.00093145366,0.0018453659],"study_design_scores_gemma":[0.000009036638,0.000009964248,0.000047148038,0.000012447712,0.000003953345,0.000035429064,0.00008464128,0.0005050232,0.00049940887,0.99088484,0.007897882,0.000010252145],"about_ca_topic_score_codex":0.004592588,"about_ca_topic_score_gemma":0.0037654194,"teacher_disagreement_score":0.01717914,"about_ca_system_score_codex":0.003624264,"about_ca_system_score_gemma":0.0013770747,"threshold_uncertainty_score":0.057469904},"labels":[],"label_agreement":null},{"id":"W2915006159","doi":"10.1090/proc/14384","title":"The least prime ideal in the Chebotarev density theorem","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Ideal (ethics); Prime (order theory); Key (lock); Prime power; Kernel (algebra); Harnack's inequality; Discrete mathematics; Pure mathematics; Combinatorics; Computer science","score_opus":0.02325167224462433,"score_gpt":0.3091146226585078,"score_spread":0.2858629504138835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2915006159","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09951222,0.0038601314,0.7040756,0.0070914607,0.0009935615,0.00008753072,0.00042652743,0.0008154121,0.18313754],"genre_scores_gemma":[0.8961741,0.0022329914,0.05684759,0.0017944584,0.0014898448,0.00022215044,0.0004282356,0.00073355355,0.04007696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981042,0.0004889833,0.000058048798,0.00040027493,0.00057395553,0.00037449488],"domain_scores_gemma":[0.9950275,0.0032163737,0.0001791478,0.00044750635,0.0006756001,0.00045394103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002838459,0.00085512176,0.0014359903,0.0018503133,0.002726905,0.0030850526,0.0016155221,0.0011690903,0.014082953],"category_scores_gemma":[0.009597384,0.00057117443,0.0016083507,0.0011440553,0.006316501,0.008696639,0.004586948,0.0060021332,0.00364073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038331324,0.000011024408,0.00019429141,0.000060152124,0.000007876655,0.000045263176,0.0001253942,0.0009400782,0.000530499,0.9915793,0.0022072517,0.0042605842],"study_design_scores_gemma":[0.000015148385,0.000023617695,0.00023955294,0.000029215847,0.000017560034,0.0001300653,0.00006131441,0.011082225,0.0012968691,0.98050916,0.006576918,0.00001826256],"about_ca_topic_score_codex":0.0014219466,"about_ca_topic_score_gemma":0.000825979,"teacher_disagreement_score":0.014082953,"about_ca_system_score_codex":0.0020971338,"about_ca_system_score_gemma":0.0012841694,"threshold_uncertainty_score":0.047112107},"labels":[],"label_agreement":null},{"id":"W2915803484","doi":"10.1090/proc/14945","title":"Idempotent reduction for the finitistic dimension conjecture","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","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":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Dimension (graph theory); Idempotence; Lambda; Quotient; Conjecture; Pure mathematics; Simple (philosophy); Algebra over a field; Combinatorics; Physics","score_opus":0.03211064240259788,"score_gpt":0.29798935411202715,"score_spread":0.2658787117094293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2915803484","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37030303,0.0025480986,0.16132529,0.008094351,0.0012261921,0.000048968275,0.00076216855,0.0010922877,0.45459965],"genre_scores_gemma":[0.97481877,0.0004064034,0.007890144,0.00068538566,0.00047368233,0.000048464975,0.00044217423,0.00013605217,0.015098998],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984388,0.00028910785,0.000066209235,0.00039145493,0.00046175477,0.00035265266],"domain_scores_gemma":[0.99813807,0.0009865746,0.00011231906,0.000288216,0.00028228256,0.00019251357],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014060155,0.0005980657,0.0007956867,0.0011959836,0.002230801,0.002671439,0.0011106065,0.0010058167,0.011253136],"category_scores_gemma":[0.003436023,0.00033418808,0.0013901468,0.0007783938,0.004624757,0.007158768,0.0035552566,0.00422186,0.0015639442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023232229,0.000016113903,0.0003504005,0.000031950254,0.0000073518468,0.000054161294,0.00015343,0.00032977157,0.0002904321,0.9955122,0.0011990104,0.0020319214],"study_design_scores_gemma":[0.000013986927,0.000012472876,0.00030693517,0.0000143273055,0.000008589037,0.00006059662,0.000068171365,0.0019394822,0.0006032484,0.99353784,0.0034238987,0.00001041966],"about_ca_topic_score_codex":0.0012232594,"about_ca_topic_score_gemma":0.0010237221,"teacher_disagreement_score":0.011253136,"about_ca_system_score_codex":0.0024857905,"about_ca_system_score_gemma":0.0009011818,"threshold_uncertainty_score":0.03764552},"labels":[],"label_agreement":null},{"id":"W2916168445","doi":"10.1090/proc/15087","title":"A Schwarz lemma for locally univalent meromorphic functions","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Meromorphic function; Lemma (botany); Pure mathematics; Bounded function; Nonlinear system; Mathematical analysis; Type (biology); Riemann sphere","score_opus":0.06155658742034453,"score_gpt":0.30450236625406546,"score_spread":0.24294577883372093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2916168445","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27944767,0.0025124592,0.62511,0.004247001,0.00046780024,0.00006768299,0.00037711425,0.0002872986,0.087482974],"genre_scores_gemma":[0.93003386,0.0013124105,0.04060311,0.0006839028,0.0004699297,0.000077942495,0.00025291546,0.00014579028,0.026420083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923635,0.00024043716,0.000039242354,0.000109752255,0.00028649476,0.000087758606],"domain_scores_gemma":[0.99716043,0.0012782624,0.0003000694,0.00026161963,0.00069356256,0.00030609165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017753653,0.0007865855,0.00068510533,0.0024201043,0.0007885483,0.001423477,0.0007798638,0.00078841235,0.0050526457],"category_scores_gemma":[0.005245896,0.000371088,0.00107203,0.00059146085,0.0027999498,0.0025436298,0.00296236,0.002202954,0.00092523365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003698478,0.000011158221,0.0008552601,0.00007564671,0.000017876195,0.00033044248,0.00022281204,0.0030870747,0.008506009,0.9793084,0.0015839516,0.005964196],"study_design_scores_gemma":[0.000022952663,0.00010177751,0.0018749239,0.000042838958,0.000028781677,0.00094539445,0.0002226853,0.06041974,0.006792221,0.9214444,0.008061398,0.000042745993],"about_ca_topic_score_codex":0.00050052046,"about_ca_topic_score_gemma":0.0004420027,"teacher_disagreement_score":0.0050526457,"about_ca_system_score_codex":0.0007838805,"about_ca_system_score_gemma":0.00036094018,"threshold_uncertainty_score":0.016902804},"labels":[],"label_agreement":null},{"id":"W2923180505","doi":"10.1090/proc/14618","title":"Entropy productions in dissipative systems","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Dissipative system; Statistical physics; Entropy (arrow of time); Theoretical physics; Physics; Philosophy; Mathematics; Epistemology; Thermodynamics","score_opus":0.00510573261796305,"score_gpt":0.23899107356120775,"score_spread":0.2338853409432447,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2923180505","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2801367,0.0066276924,0.6647307,0.0024383094,0.00051647983,0.00013346065,0.00037744225,0.0006114795,0.044427745],"genre_scores_gemma":[0.9723627,0.0015163079,0.01864912,0.00015457433,0.00023655726,0.00012351484,0.00013996626,0.00018851626,0.0066286474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99808514,0.0006582532,0.00013098876,0.00029490635,0.00058271637,0.00024798838],"domain_scores_gemma":[0.99259585,0.0045419713,0.0009814134,0.0007510494,0.00056408346,0.0005657131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031937927,0.000936724,0.0010177051,0.0022146958,0.0009909006,0.0026049328,0.0014147399,0.0010077083,0.004438609],"category_scores_gemma":[0.012824353,0.00053915265,0.0011075089,0.0007753153,0.004475179,0.0047225766,0.0029880905,0.0013687713,0.0005495596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050467337,0.000025344621,0.0010058888,0.00020819793,0.000033972276,0.0001802444,0.00043514403,0.03517496,0.003959016,0.95081747,0.0005426296,0.007566734],"study_design_scores_gemma":[0.000020764954,0.000047199763,0.0009651362,0.000050576222,0.000024513363,0.00016504718,0.00009266178,0.14909722,0.003238555,0.8439399,0.0023112253,0.000047216916],"about_ca_topic_score_codex":0.0006368066,"about_ca_topic_score_gemma":0.000341745,"teacher_disagreement_score":0.004438609,"about_ca_system_score_codex":0.0018004803,"about_ca_system_score_gemma":0.0007760138,"threshold_uncertainty_score":0.016890585},"labels":[],"label_agreement":null},{"id":"W2939017221","doi":"10.1090/proc/14659","title":"On spatial-temporal dynamics of a Fisher-KPP equation with a shifting environment","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":104,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Education Department of Hunan Province","keywords":"Persistence (discontinuity); Dynamics (music); Semigroup; Sign (mathematics); Extinction (optical mineralogy); Constant (computer programming); Mathematics; Function (biology); Space (punctuation); Mathematical analysis; Fisher equation; Applied mathematics; Statistical physics; Computer science; Physics; Geology","score_opus":0.012622437666239907,"score_gpt":0.2366381288718347,"score_spread":0.22401569120559478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2939017221","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23577447,0.002301074,0.7186755,0.00868649,0.0006677675,0.00017347757,0.0007918506,0.00021484554,0.032714594],"genre_scores_gemma":[0.90721375,0.0024643578,0.053353146,0.000991308,0.0005188901,0.00042192228,0.00051955116,0.0001166316,0.034400515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9994579,0.0001750964,0.00003139437,0.00011514355,0.0001205291,0.000099956735],"domain_scores_gemma":[0.9975777,0.0011537715,0.00039674592,0.0001006146,0.0003289958,0.00044213908],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016908828,0.0013691462,0.0015056726,0.0011341058,0.0010647714,0.001570594,0.0019399594,0.003447213,0.0053766263],"category_scores_gemma":[0.0065657203,0.0005030634,0.0018026935,0.0009482779,0.0029399388,0.0030875336,0.003400199,0.0027331808,0.0005260397],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000100364065,0.0000818786,0.0033032738,0.0002511188,0.00008639746,0.0015438261,0.00060601206,0.27558908,0.0069304355,0.7000004,0.003809554,0.007697683],"study_design_scores_gemma":[0.000040465322,0.000049839025,0.00053280906,0.00002286005,0.000027564993,0.00021372068,0.00011217386,0.87437457,0.0002250198,0.12326653,0.0010891551,0.000045225665],"about_ca_topic_score_codex":0.012621728,"about_ca_topic_score_gemma":0.004173014,"teacher_disagreement_score":0.012621728,"about_ca_system_score_codex":0.0013260917,"about_ca_system_score_gemma":0.001782428,"threshold_uncertainty_score":0.025096536},"labels":[],"label_agreement":null},{"id":"W2940449895","doi":"10.1090/proc/14788","title":"Heun algebras of Lie type","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lie algebra; Hamiltonian (control theory); Differential operator; Laguerre polynomials; Operator (biology); Dimension (graph theory); Harmonic oscillator; Lie group; Type (biology)","score_opus":0.008410697235199091,"score_gpt":0.2374697384149905,"score_spread":0.22905904117979142,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2940449895","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23018402,0.0021247508,0.2441425,0.0015630502,0.0013294804,0.00022967077,0.0009457066,0.0012075129,0.5182733],"genre_scores_gemma":[0.81048155,0.0010299035,0.059933916,0.0008292109,0.00063586514,0.00017324253,0.0007657956,0.00044001214,0.12571059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921095,0.00017483608,0.00004046767,0.00011852124,0.00027906237,0.0001760978],"domain_scores_gemma":[0.9994398,0.000068442714,0.00007683532,0.00007109657,0.00021452871,0.00012923907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067957246,0.00074855,0.00048180748,0.001987936,0.0019457039,0.0022825664,0.0007568424,0.00064793404,0.017403204],"category_scores_gemma":[0.0010820719,0.00023912216,0.0005366783,0.0009818681,0.0017648771,0.004299053,0.0017296268,0.0015457033,0.004141952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008181351,0.000012145132,0.00006130515,0.00001711414,0.0000029923985,0.000041705614,0.00014398534,0.00027456833,0.00063970627,0.99373925,0.0010094214,0.004049625],"study_design_scores_gemma":[0.000005267312,0.000022968223,0.00017068087,0.000013903723,0.0000043313103,0.00011493831,0.00019752802,0.0040543084,0.0016506255,0.97594815,0.01779658,0.000020753583],"about_ca_topic_score_codex":0.0013866494,"about_ca_topic_score_gemma":0.0012545497,"teacher_disagreement_score":0.017403204,"about_ca_system_score_codex":0.0010237196,"about_ca_system_score_gemma":0.0005954715,"threshold_uncertainty_score":0.058219552},"labels":[],"label_agreement":null},{"id":"W2943208840","doi":"10.1090/proc/15107","title":"An infinite-dimensional version of Gowers’ FIN_{±e} theorem","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set 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 Toronto","funders":"University of Toronto","keywords":"Mathematics; Order (exchange); Ramsey's theorem; Lipschitz continuity; Space (punctuation); Combinatorics; Fin; Ramsey theory; Oscillation (cell signaling); Pure mathematics","score_opus":0.026460903589579154,"score_gpt":0.3121419920247286,"score_spread":0.28568108843514944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943208840","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1587728,0.0014895792,0.65256596,0.0050583207,0.0005585054,0.0000718445,0.0011076397,0.001239463,0.1791359],"genre_scores_gemma":[0.88859624,0.0008188524,0.055058956,0.0018773765,0.0003687553,0.00021295749,0.000886526,0.00046298414,0.05171736],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999108,0.00014981716,0.000044969285,0.00025991167,0.00026984993,0.00016732035],"domain_scores_gemma":[0.99828404,0.00074411556,0.00011487196,0.00022504247,0.00046340024,0.00016858151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011884447,0.00065061345,0.0007729259,0.0010530981,0.0013829469,0.0020019333,0.001136576,0.0008422377,0.014042287],"category_scores_gemma":[0.004770248,0.00035316258,0.0012955694,0.0006220624,0.0021434154,0.005918207,0.0031289463,0.0024410866,0.0018626987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024744568,0.000010718848,0.00027010412,0.000045504887,0.000011693144,0.00004732667,0.00013165643,0.0014125026,0.00076403306,0.98920727,0.00231678,0.0057576317],"study_design_scores_gemma":[0.000015482943,0.000023296932,0.00034788836,0.000018950896,0.000009992899,0.00009822135,0.000079721605,0.016711043,0.001166045,0.9739067,0.0076026213,0.000019990133],"about_ca_topic_score_codex":0.0029041395,"about_ca_topic_score_gemma":0.0018399652,"teacher_disagreement_score":0.014042287,"about_ca_system_score_codex":0.0013478898,"about_ca_system_score_gemma":0.00069853355,"threshold_uncertainty_score":0.04697615},"labels":[],"label_agreement":null},{"id":"W2943906472","doi":"10.1090/proc/14977","title":"The diameter of lattice zonotopes","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Polytope; Hypercube; Multiplicative function; Lattice (music); Upper and lower bounds; Dimension (graph theory)","score_opus":0.015012926630750479,"score_gpt":0.22742417573335486,"score_spread":0.21241124910260437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943906472","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69480574,0.003465866,0.2005561,0.0025297857,0.00042125775,0.000091140006,0.0012203555,0.001162392,0.0957474],"genre_scores_gemma":[0.95805794,0.0014196372,0.029239349,0.00021285503,0.00032798667,0.00018175419,0.0005658012,0.00027876566,0.009715927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922585,0.00015647587,0.000030168378,0.00020222888,0.00020083663,0.0001845068],"domain_scores_gemma":[0.99216837,0.0044330293,0.00075739366,0.0005244597,0.00065148855,0.0014652329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011388432,0.0007828097,0.0010592671,0.0025477356,0.0015321245,0.002923992,0.001783196,0.00094653084,0.007656699],"category_scores_gemma":[0.010800782,0.00067083206,0.0007790052,0.000718461,0.0028899563,0.004382162,0.003252445,0.0022536586,0.001275093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002887496,0.00004155344,0.0035927983,0.0002821842,0.000040218936,0.00028090185,0.0004057317,0.011881153,0.008871952,0.95732707,0.0055433367,0.0114444345],"study_design_scores_gemma":[0.00007276242,0.00010458292,0.0036275666,0.000116211064,0.00004966279,0.0007076951,0.0003400096,0.12994078,0.006340142,0.84813875,0.010488711,0.000073140334],"about_ca_topic_score_codex":0.0010639406,"about_ca_topic_score_gemma":0.00079584937,"teacher_disagreement_score":0.007656699,"about_ca_system_score_codex":0.0015559833,"about_ca_system_score_gemma":0.0005001113,"threshold_uncertainty_score":0.025614202},"labels":[],"label_agreement":null},{"id":"W2946139888","doi":"10.1090/proc/14736","title":"A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Kernel (algebra); Hilbert space; Weierstrass factorization theorem; Invariant (physics); Spectral theorem; Factorization","score_opus":0.031129835882265058,"score_gpt":0.2830457285451004,"score_spread":0.2519158926628354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2946139888","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21043693,0.0020606003,0.6722468,0.003809327,0.000861197,0.000112963105,0.000595908,0.0005798642,0.10929636],"genre_scores_gemma":[0.88728285,0.0013096348,0.08601755,0.00083526643,0.00070154935,0.00012996259,0.00049537997,0.00021815299,0.023009634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993253,0.00011793076,0.000035583573,0.00016508484,0.0002537049,0.00010236616],"domain_scores_gemma":[0.99872416,0.00045054714,0.00012791842,0.00013272748,0.00027705182,0.00028763208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012649839,0.0007025978,0.00074301363,0.0019383646,0.0016586431,0.0017003315,0.00057759276,0.001099895,0.008624268],"category_scores_gemma":[0.0031471518,0.0002624149,0.0012692744,0.00064998184,0.0028447108,0.0046154396,0.003321531,0.0025086268,0.0011491297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019180621,0.000010711643,0.00020705175,0.00004617412,0.000008797571,0.00014107427,0.00018370186,0.00039478362,0.0017887726,0.99205834,0.0011532642,0.003988145],"study_design_scores_gemma":[0.000008130041,0.0000253544,0.00028229106,0.000015553811,0.000008811654,0.00030541726,0.00009292191,0.004184767,0.0012934431,0.98909783,0.004668296,0.000017200433],"about_ca_topic_score_codex":0.0005791255,"about_ca_topic_score_gemma":0.00042511697,"teacher_disagreement_score":0.008624268,"about_ca_system_score_codex":0.00083984196,"about_ca_system_score_gemma":0.0003985562,"threshold_uncertainty_score":0.028851032},"labels":[],"label_agreement":null},{"id":"W2946182057","doi":"10.1090/proc/14676","title":"On the structure of ideals and multipliers: A unified approach","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Mathematics; Computer science; Algebra over a field; Pure mathematics","score_opus":0.019701753362884083,"score_gpt":0.25419823575460115,"score_spread":0.23449648239171708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2946182057","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.080496654,0.014069285,0.6997142,0.008243487,0.00089034374,0.000093809234,0.0004746408,0.0002613176,0.19575632],"genre_scores_gemma":[0.7178383,0.011051064,0.20861833,0.0017068585,0.0025282993,0.00034246175,0.0006004083,0.00034215226,0.056972027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847764,0.0005442168,0.00007024771,0.00030513603,0.0003876191,0.00021508164],"domain_scores_gemma":[0.99884796,0.00046229022,0.0001508379,0.00015227821,0.00024166252,0.00014489611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025628046,0.0012500278,0.0012942564,0.0036519677,0.0020014218,0.004336051,0.0019899947,0.0015835492,0.008115396],"category_scores_gemma":[0.0033011592,0.000702411,0.0017449319,0.0024929577,0.0051503773,0.011214625,0.004535182,0.0034404737,0.0018937133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053278045,0.0000072918288,0.00005708859,0.000023957968,0.0000035767653,0.000028184139,0.00011197514,0.00046834833,0.00021053106,0.9971661,0.00037455198,0.0015431341],"study_design_scores_gemma":[0.000005331455,0.000016557547,0.00006308854,0.000021457958,0.0000046420387,0.000043359865,0.00007173248,0.0036332083,0.00021341376,0.9917066,0.0042122765,0.000008229225],"about_ca_topic_score_codex":0.00087465433,"about_ca_topic_score_gemma":0.0009850106,"teacher_disagreement_score":0.008115396,"about_ca_system_score_codex":0.0022357574,"about_ca_system_score_gemma":0.00089501805,"threshold_uncertainty_score":0.027148664},"labels":[],"label_agreement":null},{"id":"W2948869800","doi":"10.1090/proc/15232","title":"Asymptotic normality for random simplices and convex bodies in high dimensions","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Gobierno de Aragón; Ministerio de Economía y Competitividad; National Science Foundation","keywords":"Mathematics; Independent and identically distributed random variables; Combinatorics; Regular polygon; Measure (data warehouse); Central limit theorem; Ball (mathematics); Asymptotic distribution; Probability measure; Random variable; Discrete mathematics; Mathematical analysis; Geometry; Estimator; Computer science; Statistics","score_opus":0.047864995719371764,"score_gpt":0.3174098166880302,"score_spread":0.26954482096865845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948869800","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2277392,0.0030140856,0.71665853,0.006066456,0.00031156716,0.0000885975,0.001017394,0.0016388595,0.04346526],"genre_scores_gemma":[0.92405343,0.002268147,0.04411772,0.0009887023,0.00092620903,0.00055722013,0.002137064,0.0010618371,0.02388973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784935,0.0008297732,0.00008747639,0.00040133,0.00056582596,0.00026630075],"domain_scores_gemma":[0.9696004,0.020853609,0.0021041208,0.0019036743,0.0031033673,0.0024348635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0070684794,0.0010002999,0.0018396203,0.0048022764,0.0015491048,0.0054569812,0.002690867,0.001397128,0.011112875],"category_scores_gemma":[0.038049612,0.0007569394,0.0020654663,0.001605265,0.0069795293,0.007607558,0.0045465454,0.004730333,0.0016278614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045075776,0.000025240673,0.0014531101,0.00009385286,0.000028897675,0.00006619369,0.00015758385,0.00902712,0.00042502017,0.982382,0.0025346025,0.0037613066],"study_design_scores_gemma":[0.000014225388,0.000021801998,0.0015376401,0.000056762266,0.000014203225,0.000083668274,0.000080886224,0.14395636,0.00043237323,0.8522319,0.0015381351,0.00003203223],"about_ca_topic_score_codex":0.0041903662,"about_ca_topic_score_gemma":0.0028165944,"teacher_disagreement_score":0.011112875,"about_ca_system_score_codex":0.0036829258,"about_ca_system_score_gemma":0.0013762573,"threshold_uncertainty_score":0.037382185},"labels":[],"label_agreement":null},{"id":"W2951842869","doi":"10.1090/proc/12520","title":"Some hyperbolic three-manifolds that bound geometrically","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Geodesic; Dimension (graph theory); Manifold (fluid mechanics); Dodecahedron; Hyperbolic manifold; Boundary (topology); Constant (computer programming); Simple (philosophy); Pure mathematics; Bounded function; Mathematical analysis; Combinatorics; Geometry; Hyperbolic function; Computer science","score_opus":0.05595934931690484,"score_gpt":0.2927036134453619,"score_spread":0.23674426412845706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951842869","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7255956,0.00072170136,0.0843712,0.0016015494,0.00023249742,0.00008026854,0.0006269946,0.0004938276,0.18627632],"genre_scores_gemma":[0.94566154,0.00025625262,0.01853561,0.00022032288,0.00007820065,0.000067671215,0.0007105649,0.00020537486,0.034264363],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995962,0.00007366328,0.000024049035,0.00008893796,0.00012674202,0.000090423084],"domain_scores_gemma":[0.9996326,0.00007557359,0.00007143486,0.00004888322,0.000092034614,0.00007957734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025702213,0.00077580754,0.0004000867,0.0012308154,0.0016472444,0.001842064,0.0007439375,0.0010811295,0.009363734],"category_scores_gemma":[0.0012543155,0.00038297256,0.00073733786,0.00060959015,0.0019859371,0.002566067,0.0027552855,0.001472989,0.0015248248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003792926,0.000014342087,0.0004436083,0.000030462026,0.00000980971,0.00022500257,0.0004928137,0.0018612933,0.0017702633,0.98751974,0.0021654346,0.005429395],"study_design_scores_gemma":[0.000041042076,0.00008069592,0.0021420834,0.000050261446,0.000023876837,0.0005373859,0.001227648,0.020227833,0.0028527484,0.94479966,0.02797321,0.000043599488],"about_ca_topic_score_codex":0.0025094,"about_ca_topic_score_gemma":0.0022453524,"teacher_disagreement_score":0.009363734,"about_ca_system_score_codex":0.0016345015,"about_ca_system_score_gemma":0.00032129808,"threshold_uncertainty_score":0.031324804},"labels":[],"label_agreement":null},{"id":"W2952324483","doi":"10.1090/proc/14803","title":"A new identity for the sum of products of the generalized hypergeometric functions","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Hypergeometric identity; Mathematics; Generalization; Basic hypergeometric series; Hypergeometric function; Identity (music); Generalized hypergeometric function; Pure mathematics; Algebra over a field; Hypergeometric distribution; Connection (principal bundle); Transformation (genetics); Euler's formula; Barnes integral; Algebraic number; Hypergeometric function of a matrix argument; Mathematical analysis; Physics; Geometry","score_opus":0.051415694031036976,"score_gpt":0.31149375171778765,"score_spread":0.2600780576867507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952324483","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0765381,0.0053232927,0.71108586,0.0033671611,0.002532209,0.00009585948,0.00041825644,0.00037969826,0.20025955],"genre_scores_gemma":[0.6354432,0.007148411,0.2614317,0.0022163992,0.003404803,0.00021025402,0.00048560405,0.00092620484,0.088733405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990489,0.00015493829,0.00006869466,0.00020638066,0.00041196673,0.0001091243],"domain_scores_gemma":[0.9993761,0.00016348714,0.000055334975,0.000105136285,0.00022449747,0.0000755151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011533936,0.0006026415,0.0008180088,0.0021469044,0.0014676334,0.002960462,0.001003828,0.000801511,0.005938549],"category_scores_gemma":[0.002375862,0.0003457044,0.0012867881,0.0015689782,0.0030296464,0.0060900534,0.002714225,0.0032850464,0.0020949596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000395243,0.0000055299856,0.000082317725,0.000026840435,0.0000037113573,0.00006784678,0.00014755019,0.00016511306,0.000809056,0.9899159,0.0014673638,0.007304808],"study_design_scores_gemma":[0.000004741287,0.000012099336,0.00020443699,0.000022042568,0.000012915198,0.0004908491,0.0000880151,0.0042261896,0.0013070095,0.9685856,0.025027204,0.000018905159],"about_ca_topic_score_codex":0.0008304652,"about_ca_topic_score_gemma":0.00090561307,"teacher_disagreement_score":0.005938549,"about_ca_system_score_codex":0.0009654077,"about_ca_system_score_gemma":0.0010517711,"threshold_uncertainty_score":0.019866467},"labels":[],"label_agreement":null},{"id":"W2952546720","doi":"10.1090/s0002-9939-02-06634-0","title":"Catalan paths and quasi-symmetric functions","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Catalan number; Quotient; Quotient ring; Ring (chemistry); Combinatorics; Catalan; Bounded function; Polynomial ring; Dimension (graph theory); Formal power series; Ideal (ethics); Hilbert–Poincaré series; Closure (psychology); Polynomial; Constant (computer programming); Pure mathematics; Discrete mathematics; Power series; Mathematical analysis","score_opus":0.02878183259816862,"score_gpt":0.2703337747243525,"score_spread":0.24155194212618386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952546720","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.519358,0.0022408443,0.08735669,0.004202769,0.0007047193,0.00007896946,0.0007494732,0.00036409916,0.38494438],"genre_scores_gemma":[0.9342615,0.0008471091,0.014125975,0.00046871664,0.00026376752,0.000045471596,0.000343251,0.00014154562,0.049502734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923,0.00022020815,0.00003221675,0.00014891561,0.0001731106,0.00019561936],"domain_scores_gemma":[0.999041,0.0003581082,0.00010820333,0.000118770346,0.00023204637,0.00014181342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010921707,0.00065604324,0.0003858364,0.0012824073,0.0016647143,0.0024306017,0.0007215542,0.0006572367,0.012630822],"category_scores_gemma":[0.0018781304,0.00024513144,0.0008663833,0.0009805312,0.0024621624,0.003929477,0.0015888421,0.0013395484,0.0024500217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012952446,0.0000070174174,0.00012815904,0.000015959853,0.000002298564,0.00004905186,0.00015960957,0.00030585486,0.00025153466,0.99535865,0.00083417154,0.0028747453],"study_design_scores_gemma":[0.000010568274,0.000020022306,0.00025217576,0.000011222865,0.0000039209076,0.000076176235,0.00013845583,0.0022729198,0.0005450507,0.98955405,0.0071047954,0.0000106493535],"about_ca_topic_score_codex":0.003208706,"about_ca_topic_score_gemma":0.001998731,"teacher_disagreement_score":0.012630822,"about_ca_system_score_codex":0.0022030387,"about_ca_system_score_gemma":0.0008781185,"threshold_uncertainty_score":0.04225433},"labels":[],"label_agreement":null},{"id":"W2955660469","doi":"10.1090/proc/14556","title":"Krein–Rutman type property and exponential separation of a noncompact operator","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stability and Controllability of Differential Equations","field":"Engineering","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":"Annotation; Type (biology); Algorithm; Operator (biology); Semantics (computer science); Computer science; Mathematics; Artificial intelligence; Chemistry; Programming language","score_opus":0.008738370636170402,"score_gpt":0.233316928880464,"score_spread":0.2245785582442936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2955660469","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24918386,0.00049496494,0.72140753,0.0008581664,0.00015121326,0.00004589026,0.00013355573,0.0002906153,0.027434252],"genre_scores_gemma":[0.93793684,0.0003664834,0.044341244,0.00026918182,0.00011496225,0.00007859298,0.00015913247,0.00017286143,0.016560769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984017,0.0002948483,0.00009602046,0.0003950634,0.000575906,0.00023638304],"domain_scores_gemma":[0.99637234,0.0017238423,0.000566194,0.00030358683,0.00070326147,0.00033072164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015843606,0.0008196067,0.0006101572,0.0010926999,0.0007645233,0.001442697,0.0011297023,0.001092536,0.006650131],"category_scores_gemma":[0.004959037,0.0003500661,0.0013939416,0.0005165809,0.002578801,0.0042916746,0.0021241312,0.0023392185,0.0009804594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009893817,0.000053827313,0.00053848955,0.0001197563,0.00002871217,0.00032061836,0.0003596249,0.0041095116,0.012431624,0.9756513,0.0005802273,0.0057072663],"study_design_scores_gemma":[0.000040423798,0.00022718025,0.0010405524,0.000036263973,0.000037626844,0.0006670503,0.00028883704,0.15387307,0.01383807,0.8257608,0.0041282168,0.000061968945],"about_ca_topic_score_codex":0.0007459053,"about_ca_topic_score_gemma":0.0004212766,"teacher_disagreement_score":0.006650131,"about_ca_system_score_codex":0.0011613789,"about_ca_system_score_gemma":0.0007479357,"threshold_uncertainty_score":0.022246897},"labels":[],"label_agreement":null},{"id":"W2956841368","doi":"10.1090/proc/14760","title":"Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Limit (mathematics); Quadratic equation; Elliptic curve; Pure mathematics; Central limit theorem; Mathematical analysis; Statistics; Geometry","score_opus":0.027397975421422787,"score_gpt":0.3044499584575244,"score_spread":0.27705198303610157,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2956841368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44642264,0.0053609037,0.39658448,0.006724962,0.0012493244,0.00014260095,0.00078515656,0.0011483391,0.14158155],"genre_scores_gemma":[0.9379287,0.0019374725,0.025678132,0.0008508492,0.0010398297,0.00035502837,0.0005054688,0.0004465914,0.031257864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99662066,0.00096630363,0.00018709994,0.0005698762,0.0009788967,0.00067715114],"domain_scores_gemma":[0.9854401,0.007444161,0.0013397419,0.0010312976,0.0028442878,0.00190045],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007148056,0.00211135,0.001995756,0.007642691,0.00378396,0.005626185,0.0025905974,0.0016455137,0.013143394],"category_scores_gemma":[0.02016511,0.0009015902,0.003487076,0.002981125,0.0064351014,0.012439385,0.009073497,0.0054719415,0.0024896716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004138303,0.00003321353,0.00061279116,0.000091186266,0.00003528724,0.00017946627,0.0002967178,0.0008292558,0.0006856256,0.992489,0.001237279,0.0034687314],"study_design_scores_gemma":[0.000023121142,0.000037090107,0.00049500144,0.000040212733,0.00003567778,0.00026362334,0.00017172385,0.013083919,0.0015576385,0.9821891,0.002070205,0.000032602617],"about_ca_topic_score_codex":0.0016174767,"about_ca_topic_score_gemma":0.0011409622,"teacher_disagreement_score":0.013143394,"about_ca_system_score_codex":0.0038582857,"about_ca_system_score_gemma":0.0015839059,"threshold_uncertainty_score":0.043969035},"labels":[],"label_agreement":null},{"id":"W2960401279","doi":"10.1090/proc/14709","title":"On Lau’s conjecture span style=color:redThis article has been retracted/span","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Semigroup; Regular polygon; Conjecture; Banach space; Norm (philosophy); Dual (grammatical number); Pure mathematics; Property (philosophy); Discrete mathematics; Fixed point; Mathematical analysis","score_opus":0.009513498557116444,"score_gpt":0.22412191275156523,"score_spread":0.2146084141944488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2960401279","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03595137,0.004267819,0.058289114,0.3958158,0.017386032,0.000076321914,0.0009866683,0.0014594806,0.48576736],"genre_scores_gemma":[0.5486846,0.007070948,0.020206548,0.05169175,0.022662947,0.0003287926,0.001969977,0.0021321543,0.3452524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990426,0.00029437226,0.00003531674,0.0002610649,0.00021937898,0.00014726415],"domain_scores_gemma":[0.9957873,0.0024720272,0.00015774592,0.0003705529,0.00083793217,0.00037444025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016132254,0.0007106253,0.0010504448,0.0011599797,0.0030882321,0.004474281,0.00093368243,0.0029580279,0.05851831],"category_scores_gemma":[0.008761375,0.00041515427,0.0011075004,0.0011932157,0.002571784,0.009652204,0.002594579,0.0056685614,0.010416081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001620262,0.000052919804,0.0003301475,0.00014150381,0.000017563312,0.00032842206,0.00047417037,0.00088783324,0.0009847491,0.7003593,0.2761218,0.02013955],"study_design_scores_gemma":[0.00004984238,0.00004328858,0.0010306069,0.00011232926,0.000021764581,0.00036628533,0.0003939307,0.0050733476,0.0011901851,0.7851703,0.20649882,0.000049327657],"about_ca_topic_score_codex":0.0035336977,"about_ca_topic_score_gemma":0.0021339455,"teacher_disagreement_score":0.05851831,"about_ca_system_score_codex":0.0024653913,"about_ca_system_score_gemma":0.0007009866,"threshold_uncertainty_score":0.19576323},"labels":[],"label_agreement":null},{"id":"W2960617744","doi":"10.1090/proc/15342","title":"Non-homogeneous extensions of Cantor minimal systems","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Odometer; Homogeneous; Dimension (graph theory); Iterated function system; Extension (predicate logic); Attractor; Iterated function; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.04888557910905382,"score_gpt":0.33943510266129334,"score_spread":0.2905495235522395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2960617744","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89925253,0.00039013827,0.052740093,0.0003251966,0.0001108637,0.000047369736,0.00012884586,0.00016997762,0.04683504],"genre_scores_gemma":[0.9869746,0.00012959956,0.0075925337,0.00003351587,0.000061148006,0.00003014313,0.000060766077,0.000020376925,0.0050972817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963176,0.00005747325,0.000024880186,0.00008441602,0.0001010207,0.00010031813],"domain_scores_gemma":[0.9990687,0.00018782407,0.00016789557,0.00013708623,0.00018165322,0.00025694206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051119283,0.0002842685,0.00036062975,0.0010579329,0.0010104997,0.0011363465,0.00041860648,0.00037217228,0.0030668117],"category_scores_gemma":[0.0015655049,0.00017923208,0.00046197494,0.0003275265,0.001582672,0.0017216138,0.0014926433,0.00067292276,0.00018607896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060349266,0.000025402018,0.0006132404,0.0000385912,0.000010077318,0.00036664595,0.00059082196,0.0027486584,0.009042829,0.9817202,0.00038799905,0.0043951483],"study_design_scores_gemma":[0.000081435595,0.00015111115,0.0025377797,0.000040056395,0.00002681566,0.0004792674,0.0006801974,0.038634628,0.007863152,0.9367052,0.012743301,0.00005706468],"about_ca_topic_score_codex":0.0012783421,"about_ca_topic_score_gemma":0.001312162,"teacher_disagreement_score":0.0030668117,"about_ca_system_score_codex":0.00086377823,"about_ca_system_score_gemma":0.0003570964,"threshold_uncertainty_score":0.010259509},"labels":[],"label_agreement":null},{"id":"W2962879248","doi":"10.1090/s0002-9939-2011-11113-4","title":"On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Holomorphic function; Mathematics; Sectional curvature; Isotropy; Curvature; Pure mathematics; Manifold (fluid mechanics); Mathematical analysis; Scalar curvature; Operator (biology); Geometry; Physics","score_opus":0.027667266005048163,"score_gpt":0.24799329293976818,"score_spread":0.22032602693472003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962879248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85229474,0.00053929025,0.11894573,0.00091932534,0.000101450016,0.00005698341,0.00016080505,0.00021297988,0.026768642],"genre_scores_gemma":[0.97736025,0.00029489605,0.013597287,0.000123219,0.000070185706,0.000076915545,0.0002471753,0.00008220681,0.00814791],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993944,0.00011893128,0.000031510823,0.00015663562,0.00019040215,0.00010815379],"domain_scores_gemma":[0.9986486,0.00049812376,0.00021019476,0.00012002148,0.00029031257,0.0002327192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000720563,0.0010789463,0.0006973469,0.001392264,0.001370907,0.0012784055,0.0009177274,0.00095650705,0.0029747186],"category_scores_gemma":[0.0036069995,0.00051268435,0.001010015,0.00030489688,0.002442205,0.0019992494,0.0031907975,0.0014031737,0.00049408444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015623737,0.00005085197,0.0044401195,0.00028904658,0.00007363552,0.0011848428,0.0011205447,0.0147953825,0.023352606,0.9413334,0.001466694,0.011736541],"study_design_scores_gemma":[0.00006047812,0.00029043923,0.005918751,0.00008741917,0.00007184393,0.0009666981,0.00089677185,0.11162633,0.01629015,0.8572279,0.006488711,0.000074480646],"about_ca_topic_score_codex":0.0012319266,"about_ca_topic_score_gemma":0.0010290247,"teacher_disagreement_score":0.0029747186,"about_ca_system_score_codex":0.001060941,"about_ca_system_score_gemma":0.00036654904,"threshold_uncertainty_score":0.009951413},"labels":[],"label_agreement":null},{"id":"W2963042986","doi":"10.1090/s0002-9939-2011-11462-x","title":"The elementary divisors of the incidence matrix of skew lines in PG(3,k)","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Skew; Mathematics; Matrix (chemical analysis); Incidence (geometry); Incidence matrix; Pure mathematics; Combinatorics; Physics; Computer science; Geometry; Telecommunications; Materials science","score_opus":0.009929396429302413,"score_gpt":0.21955839910662525,"score_spread":0.20962900267732285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963042986","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54441833,0.00034140848,0.23650375,0.0006155465,0.0005245322,0.00027392394,0.00338344,0.0013135817,0.21262547],"genre_scores_gemma":[0.88672996,0.00039602528,0.054690387,0.00015662095,0.00023393988,0.00023240774,0.0034135105,0.0007317747,0.053415515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994444,0.000045685683,0.000030035357,0.00011429675,0.00021575234,0.00014976501],"domain_scores_gemma":[0.9989735,0.0002927467,0.00016990856,0.0001182772,0.00027350042,0.00017204537],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002735062,0.0006839934,0.00044060522,0.0023127021,0.00094934733,0.002688039,0.0006513067,0.0004662475,0.032987665],"category_scores_gemma":[0.0022538216,0.00031734808,0.00052157015,0.0018147789,0.0014285212,0.0020556883,0.00095486594,0.0012741084,0.0058617224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029783743,0.00014887392,0.0035792375,0.00015319255,0.000023317152,0.0009965753,0.00074950047,0.0052760234,0.014186297,0.877053,0.023876322,0.07365982],"study_design_scores_gemma":[0.00007600045,0.00012662784,0.009051693,0.000081579514,0.00002862749,0.0008720465,0.00076530554,0.021103486,0.019076552,0.8911288,0.05758691,0.00010235428],"about_ca_topic_score_codex":0.0019061799,"about_ca_topic_score_gemma":0.0023685023,"teacher_disagreement_score":0.032987665,"about_ca_system_score_codex":0.0010210576,"about_ca_system_score_gemma":0.00062128354,"threshold_uncertainty_score":0.11035472},"labels":[],"label_agreement":null},{"id":"W2963080104","doi":"10.1090/proc/14158","title":"Generating function for the Bannai-Ito polynomials","year":2018,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","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":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science; German; Philosophy; Linguistics","score_opus":0.029332811184237674,"score_gpt":0.30285564191101905,"score_spread":0.27352283072678135,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963080104","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1321874,0.0012355171,0.48247308,0.0026523126,0.001238079,0.00020337857,0.000874468,0.0009062344,0.3782296],"genre_scores_gemma":[0.75606173,0.0019076475,0.06670811,0.0007429325,0.0012705794,0.00039633614,0.001210862,0.0009005093,0.17080128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991744,0.00017001518,0.000027784141,0.00013304998,0.0003118484,0.0001829631],"domain_scores_gemma":[0.99873275,0.00043752295,0.00014344696,0.00013533795,0.00038520934,0.00016581999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011834042,0.00089296437,0.0006842822,0.0032834122,0.0014685406,0.0022460832,0.0009809625,0.0010223716,0.020172648],"category_scores_gemma":[0.0048142304,0.00035801914,0.0013375074,0.0018573091,0.0020211681,0.0025894518,0.0017669155,0.0026098248,0.0062277783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010134549,0.000011601181,0.00011715627,0.00001815103,0.0000024146802,0.000048376347,0.00011182157,0.0007098927,0.00037875498,0.987889,0.002548128,0.00815455],"study_design_scores_gemma":[0.0000133731355,0.000029705669,0.0004887225,0.000032938642,0.00001018018,0.00023600059,0.000086202555,0.020340163,0.0016159335,0.96006936,0.01703651,0.00004086162],"about_ca_topic_score_codex":0.001597872,"about_ca_topic_score_gemma":0.001319364,"teacher_disagreement_score":0.020172648,"about_ca_system_score_codex":0.0016316064,"about_ca_system_score_gemma":0.0010985176,"threshold_uncertainty_score":0.06748426},"labels":[],"label_agreement":null},{"id":"W2963121792","doi":"10.1090/s0002-9939-2010-10596-8","title":"The threshold function for vanishing of the top homology group of random 𝑑-complexes","year":2010,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Universität Bremen","keywords":"Homology (biology); Group (periodic table); Mathematics; Function (biology); Pure mathematics; Combinatorics; Genetics; Biology; Physics; Quantum mechanics; Gene","score_opus":0.013845724300505867,"score_gpt":0.24818573606971892,"score_spread":0.23434001176921304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963121792","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45970377,0.0020216673,0.38756198,0.007029111,0.00079855236,0.00024939963,0.0010971806,0.0035688481,0.1379695],"genre_scores_gemma":[0.95881534,0.0009831933,0.014215761,0.0006383764,0.00048780354,0.00028402384,0.0006568898,0.0008320255,0.023086581],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982615,0.0003276099,0.00009249778,0.00039961212,0.00050481583,0.00041402478],"domain_scores_gemma":[0.9900699,0.004608586,0.0010560894,0.00072832126,0.0009824039,0.0025545927],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029454597,0.000946585,0.0015140863,0.006826787,0.0018985838,0.0060292454,0.0026719486,0.0020364358,0.023095207],"category_scores_gemma":[0.018736333,0.0005462416,0.0013798132,0.0015062317,0.0055134743,0.008734466,0.004070178,0.0027072784,0.0030650701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009915977,0.000024801056,0.0010047196,0.00017389428,0.000019277892,0.00011419044,0.0002568756,0.0031059666,0.0012042812,0.98028755,0.0042452677,0.009463954],"study_design_scores_gemma":[0.00003780572,0.000056356585,0.0023824156,0.0001270736,0.00003118254,0.0003523802,0.00019560888,0.060427487,0.003075538,0.9292713,0.0039590616,0.0000837524],"about_ca_topic_score_codex":0.002969502,"about_ca_topic_score_gemma":0.0013397927,"teacher_disagreement_score":0.023095207,"about_ca_system_score_codex":0.0045927037,"about_ca_system_score_gemma":0.0013470356,"threshold_uncertainty_score":0.07726121},"labels":[],"label_agreement":null},{"id":"W2963196694","doi":"10.1090/proc/14278","title":"On the Helmholtz equation and Dancer’s-type entire solutions for nonlinear elliptic equations","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Omega; Helmholtz equation; Lambda; Physics; Elliptic curve; Mathematical physics; Nonlinear system; Type (biology); Mathematical analysis; Mathematics; Quantum mechanics; Boundary value problem","score_opus":0.0886326195730193,"score_gpt":0.33624556680599543,"score_spread":0.24761294723297614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963196694","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23190862,0.002684924,0.47732875,0.004949201,0.0009882408,0.0001711071,0.00034652805,0.0003458981,0.2812768],"genre_scores_gemma":[0.64129055,0.0030787622,0.1314685,0.0018110056,0.00072419393,0.0002726419,0.00063353963,0.0005136205,0.22020729],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99978524,0.00006378713,0.000013166219,0.000037725502,0.00006334684,0.00003678063],"domain_scores_gemma":[0.9995709,0.00013357123,0.00004667377,0.00003989737,0.00010383488,0.00010506897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005419504,0.00073439156,0.000575155,0.0012210981,0.0011590034,0.001198532,0.0010010621,0.0010068124,0.00631748],"category_scores_gemma":[0.0029080592,0.00036397524,0.00082216697,0.00058561086,0.0025140438,0.00266802,0.0023179497,0.0021623333,0.0011418294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001032087,0.000010375166,0.00008987608,0.000023694383,0.00000422615,0.000052061394,0.00017688816,0.002564878,0.0010261679,0.9900967,0.001547915,0.0043970123],"study_design_scores_gemma":[0.000013966279,0.00001855612,0.00021852646,0.000034066583,0.0000048056904,0.00012107497,0.0001494368,0.052071806,0.00066601153,0.9389462,0.007731902,0.00002361603],"about_ca_topic_score_codex":0.0020021638,"about_ca_topic_score_gemma":0.0017204537,"teacher_disagreement_score":0.00631748,"about_ca_system_score_codex":0.00095946935,"about_ca_system_score_gemma":0.0009947366,"threshold_uncertainty_score":0.021134019},"labels":[],"label_agreement":null},{"id":"W2963249283","doi":"10.1090/s0002-9939-2012-11338-3","title":"Fourier analysis and expanding phenomena in finite fields","year":2012,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"National Natural Science Foundation of China; Texas Higher Education Coordinating Board; National Science Foundation","keywords":"Fourier analysis; Fourier transform; Physics; Statistical physics; Mathematics; Mathematical analysis","score_opus":0.019436685145684276,"score_gpt":0.2884636909675736,"score_spread":0.2690270058218894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963249283","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3554748,0.004248202,0.5071817,0.0025219587,0.0005287379,0.000049562695,0.00016049985,0.00042851627,0.12940608],"genre_scores_gemma":[0.9336288,0.001959444,0.04060084,0.00030043573,0.00055738376,0.00004408669,0.00011351618,0.00016660993,0.022629008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993722,0.00021493481,0.000023048993,0.00009631915,0.00018486532,0.00010870004],"domain_scores_gemma":[0.99806374,0.0013543671,0.00018327653,0.00012073414,0.00017939649,0.00009851027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001097286,0.0004899372,0.00045913254,0.0019317203,0.0009351078,0.0013890966,0.0005812861,0.00064192584,0.0069967317],"category_scores_gemma":[0.0036696594,0.00021876123,0.0007803113,0.0011770054,0.0030935511,0.004102303,0.0012141035,0.0018079559,0.0006131036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011219974,0.000009377787,0.00014288737,0.000032625638,0.0000039315078,0.000075744465,0.00021708597,0.0014715089,0.000919423,0.99144125,0.00047865705,0.0051963725],"study_design_scores_gemma":[0.000008881394,0.000030343226,0.0002830414,0.0000296427,0.0000071287686,0.00023407472,0.0001847163,0.016994758,0.0013049584,0.97558916,0.0053177443,0.000015527658],"about_ca_topic_score_codex":0.0008518378,"about_ca_topic_score_gemma":0.00044858106,"teacher_disagreement_score":0.0069967317,"about_ca_system_score_codex":0.001077438,"about_ca_system_score_gemma":0.00034066034,"threshold_uncertainty_score":0.023406386},"labels":[],"label_agreement":null},{"id":"W2963256027","doi":"10.1090/proc/13615","title":"Gauss map of the skew mean curvature flow","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; Fundamental Research Funds for the Central Universities; Natural Science Foundation of Fujian Province; University of Washington","keywords":"Skew; Curvature; Mathematics; Manifold (fluid mechanics); Mean curvature flow; Grassmannian; Generalization; Embedding; Gauss; Space (punctuation); Flow (mathematics); Mathematical analysis; Gauss map; Vortex; Ellipse; Geometry; Mean curvature; Physics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.006876556640147051,"score_gpt":0.23590037566908384,"score_spread":0.2290238190289368,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963256027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6819774,0.00071645883,0.24522978,0.0017488804,0.00030517118,0.00006118827,0.0002568868,0.0003124476,0.06939166],"genre_scores_gemma":[0.9678091,0.00044842451,0.016815288,0.0001988762,0.00021033034,0.000027150158,0.000099886856,0.00007941051,0.014311646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999884,0.000025012167,0.000004400403,0.00002320198,0.000038905724,0.000024532901],"domain_scores_gemma":[0.99980015,0.000028501987,0.00004177584,0.000018185116,0.00006674403,0.000044588116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022897536,0.00025304296,0.00020663673,0.00073640887,0.00046805918,0.0008529286,0.00022826389,0.00042476755,0.0020894592],"category_scores_gemma":[0.00057206606,0.000118137985,0.00033527086,0.00020379855,0.00094511785,0.0012196068,0.0008886348,0.00056314183,0.0003127586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013156271,0.0000071767327,0.00038519385,0.000012751823,0.0000033747456,0.00008903222,0.00012960662,0.0022777896,0.003988658,0.9870547,0.00085059396,0.005187843],"study_design_scores_gemma":[0.000015245403,0.000049212347,0.0016481808,0.000013988755,0.0000075677217,0.00047308917,0.00012843226,0.08742246,0.003616546,0.898713,0.00788347,0.000028882148],"about_ca_topic_score_codex":0.0010632414,"about_ca_topic_score_gemma":0.00046846314,"teacher_disagreement_score":0.0020894592,"about_ca_system_score_codex":0.00053008826,"about_ca_system_score_gemma":0.00049369887,"threshold_uncertainty_score":0.006989956},"labels":[],"label_agreement":null},{"id":"W2963288465","doi":"10.1090/proc/14104","title":"Algebraic dynamics of skew-linear self-maps","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Agence Nationale de la Recherche","keywords":"Skew; Dynamics (music); Algebraic number; Mathematics; Statistical physics; Computer science; Physics; Mathematical analysis","score_opus":0.017477244097415575,"score_gpt":0.2995520487044451,"score_spread":0.2820748046070295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963288465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62234217,0.0009285892,0.14543577,0.0022518851,0.00044715268,0.000055269433,0.0004032617,0.00083354086,0.22730234],"genre_scores_gemma":[0.95483303,0.00038532095,0.008934356,0.00017446479,0.0001724082,0.000032152137,0.00015372725,0.00011749103,0.035196993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995766,0.000076478165,0.000017494318,0.00008927214,0.00014344389,0.00009667147],"domain_scores_gemma":[0.9994153,0.00012832548,0.00008748475,0.000057137906,0.0001918049,0.00011997099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040077095,0.00035228327,0.0002696709,0.0010989541,0.0008774336,0.0017863623,0.0004325591,0.00041557202,0.008923065],"category_scores_gemma":[0.0014152748,0.000216414,0.0004863182,0.0004597505,0.0014419497,0.0026832304,0.0016275629,0.0008472989,0.0011764342],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021742655,0.000013076753,0.00024248018,0.000019844587,0.0000047153553,0.00007458193,0.0002707739,0.0013652116,0.0008291893,0.99121946,0.00097646855,0.004962394],"study_design_scores_gemma":[0.000021233522,0.000035850764,0.00046670536,0.000015329533,0.000005948501,0.00016056979,0.00031186725,0.013465197,0.0013085307,0.97462815,0.009564426,0.000016215876],"about_ca_topic_score_codex":0.0011438237,"about_ca_topic_score_gemma":0.0009101393,"teacher_disagreement_score":0.008923065,"about_ca_system_score_codex":0.0014456034,"about_ca_system_score_gemma":0.0005289206,"threshold_uncertainty_score":0.029850602},"labels":[],"label_agreement":null},{"id":"W2963412444","doi":"10.1090/s0002-9939-2010-10441-0","title":"An octonion algebra originating in combinatorics","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Algebra over a field; Mathematics; Combinatorics; Algebraic combinatorics; Pure mathematics","score_opus":0.01467713181370596,"score_gpt":0.30175252857563,"score_spread":0.28707539676192406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963412444","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12142644,0.003820885,0.4415798,0.0076188417,0.0025222173,0.00007914389,0.00047002346,0.0007216852,0.42176095],"genre_scores_gemma":[0.80613863,0.0026275371,0.07076859,0.0023515723,0.0013428192,0.000085013664,0.00046976577,0.00051559636,0.11570051],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990507,0.00026263727,0.000042376752,0.00019072315,0.00026197213,0.00019159126],"domain_scores_gemma":[0.9989981,0.00033750682,0.00009205245,0.00023958407,0.00021455521,0.00011819127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090761326,0.00068235263,0.0005425796,0.0011674918,0.0022860463,0.0033272568,0.0010761173,0.001360457,0.010258202],"category_scores_gemma":[0.003176872,0.00038876667,0.0011653806,0.0013223642,0.003683633,0.007635226,0.0021256763,0.003025179,0.0033173207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008224601,0.0000047115773,0.000052149004,0.000015056443,0.0000016522481,0.00003023217,0.000078568395,0.0001880856,0.00016867892,0.9965707,0.0007747248,0.0021071471],"study_design_scores_gemma":[0.0000048168336,0.000009626334,0.00005789996,0.000013407289,0.0000029233886,0.00007824405,0.00004269858,0.0017618021,0.0005548752,0.9844685,0.012994933,0.000010295177],"about_ca_topic_score_codex":0.0017134129,"about_ca_topic_score_gemma":0.0013164718,"teacher_disagreement_score":0.010258202,"about_ca_system_score_codex":0.0019504804,"about_ca_system_score_gemma":0.00107201,"threshold_uncertainty_score":0.034317076},"labels":[],"label_agreement":null},{"id":"W2963678089","doi":"10.1090/proc/12939","title":"Cycline subalgebras of 𝑘-graph C*-algebras","year":2015,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Annotation; Semantics (computer science); Graph; Subalgebra; Abelian group; Mathematics; Computer science; Algebra over a field; Discrete mathematics; Pure mathematics; Artificial intelligence; Programming language","score_opus":0.050404085895100155,"score_gpt":0.3438784727366447,"score_spread":0.29347438684154453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963678089","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4253652,0.0013593308,0.2650761,0.0028046363,0.00058142265,0.00014333549,0.00069032086,0.00084559195,0.30313405],"genre_scores_gemma":[0.94201016,0.00036423217,0.02295932,0.0005395245,0.00031904856,0.00008024885,0.00038420025,0.00011087698,0.033232465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991264,0.00015370297,0.00002959733,0.00019391651,0.00031665224,0.00017982557],"domain_scores_gemma":[0.9989592,0.00028906195,0.00009691517,0.00010782878,0.00032502835,0.00022199511],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059522636,0.0003304437,0.00039973005,0.0010046144,0.0022503617,0.001904083,0.00059598364,0.00048342356,0.009904542],"category_scores_gemma":[0.0016171818,0.00024476057,0.0006255547,0.0006408805,0.0022694697,0.0032298032,0.0014201974,0.0014798808,0.0016357594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012888455,0.000007684167,0.0001308033,0.000015051728,0.0000042893166,0.000052649044,0.0001684935,0.00017926515,0.00055856496,0.9968194,0.00066530454,0.0013854835],"study_design_scores_gemma":[0.0000131592815,0.000017237608,0.00031810257,0.000009360714,0.000008488431,0.00017490226,0.00023068943,0.003965215,0.0021804983,0.97817665,0.014888266,0.00001731681],"about_ca_topic_score_codex":0.0025536886,"about_ca_topic_score_gemma":0.0026416744,"teacher_disagreement_score":0.009904542,"about_ca_system_score_codex":0.001271579,"about_ca_system_score_gemma":0.0008722109,"threshold_uncertainty_score":0.033133984},"labels":[],"label_agreement":null},{"id":"W2963755750","doi":"10.1090/proc/13142","title":"Projections in 𝐿¹(𝐺): the unimodular case","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Spectral Theory in Mathematical Physics","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":"Dalhousie University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.0286201527903894,"score_gpt":0.3076153800658924,"score_spread":0.278995227275503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963755750","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.060783766,0.0008176793,0.6195808,0.0046797497,0.0018676353,0.00010547728,0.0006958112,0.00160412,0.309865],"genre_scores_gemma":[0.64054334,0.0011761944,0.27458823,0.0023134206,0.0009868335,0.00025287582,0.0007855764,0.0024119676,0.07694154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982697,0.00042099075,0.00013485862,0.00040846827,0.00040682557,0.00035919898],"domain_scores_gemma":[0.99852365,0.00047159914,0.00014005206,0.00030061894,0.00035734635,0.00020670895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025456075,0.00080501894,0.0005438767,0.00092040614,0.002313062,0.0051258784,0.0012786668,0.0015049836,0.016172003],"category_scores_gemma":[0.003879874,0.00066036,0.001199601,0.0010822318,0.0044355313,0.0104709035,0.0034735783,0.0039275195,0.005444509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014159261,0.000010008164,0.000062285544,0.000021310836,0.0000027743392,0.00018300278,0.00031208445,0.00019257594,0.0003701374,0.99147207,0.0023210756,0.005038626],"study_design_scores_gemma":[0.000008490305,0.000011454617,0.00007285941,0.000020004565,0.0000047082253,0.00021739211,0.00027186275,0.0019557567,0.0012157012,0.97179294,0.024413073,0.000015623522],"about_ca_topic_score_codex":0.0015912903,"about_ca_topic_score_gemma":0.0013850149,"teacher_disagreement_score":0.016172003,"about_ca_system_score_codex":0.001164337,"about_ca_system_score_gemma":0.0010202719,"threshold_uncertainty_score":0.054100692},"labels":[],"label_agreement":null},{"id":"W2963937060","doi":"10.1090/proc/14748","title":"Extremal primes for elliptic curves without complex multiplication","year":2019,"lang":"fi","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; Concordia University","funders":"American Mathematical Society","keywords":"Multiplication (music); Mathematics; Elliptic curve; Elliptic curve point multiplication; Arithmetic; Supersingular elliptic curve; Pure mathematics; Combinatorics","score_opus":0.030554159808943646,"score_gpt":0.2958643522960419,"score_spread":0.26531019248709825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963937060","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17465472,0.0024448768,0.17470631,0.00430835,0.0015642092,0.00014004542,0.0010699935,0.0020567987,0.63905466],"genre_scores_gemma":[0.8298761,0.0017194881,0.042049553,0.0007710018,0.001214359,0.00016842959,0.00087543816,0.0016472762,0.121678345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991055,0.00018677533,0.00004043894,0.00018278898,0.0003302298,0.00015416526],"domain_scores_gemma":[0.99929273,0.0002567633,0.000079922436,0.0001187715,0.00014748727,0.00010433508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000926805,0.0008081814,0.0006713859,0.0023936317,0.0016596564,0.0034468553,0.00065272383,0.00076354365,0.027532889],"category_scores_gemma":[0.0040562195,0.0004063139,0.00071301864,0.0013527973,0.00199652,0.0042452966,0.0023979764,0.0025449416,0.008836182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071588984,0.000013381682,0.00017662096,0.000051726493,0.0000037659413,0.0001575896,0.00015231095,0.0004985547,0.0007281371,0.9818362,0.005364136,0.010946187],"study_design_scores_gemma":[0.000026855461,0.000034063873,0.00051698927,0.00005538443,0.000010680062,0.00032570676,0.00013296986,0.0028721176,0.0034236014,0.9513629,0.04121041,0.000028349012],"about_ca_topic_score_codex":0.0005198692,"about_ca_topic_score_gemma":0.000521191,"teacher_disagreement_score":0.027532889,"about_ca_system_score_codex":0.0018446784,"about_ca_system_score_gemma":0.00046839035,"threshold_uncertainty_score":0.09210664},"labels":[],"label_agreement":null},{"id":"W2963937644","doi":"10.1090/proc/14710","title":"A remark on the non-compactness of 𝑊^{2,𝑑}-immersions of 𝑑-dimensional hypersurfaces","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence","score_opus":0.016569584320563924,"score_gpt":0.2541197566710246,"score_spread":0.23755017235046066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963937644","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4061876,0.0041659144,0.3412805,0.011006806,0.0014565825,0.00008510772,0.0009444327,0.0011433228,0.23372976],"genre_scores_gemma":[0.9002365,0.0014703637,0.04903585,0.0012657142,0.0005400411,0.00015420238,0.00067975704,0.0005698343,0.04604777],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986669,0.00025836387,0.00009430808,0.0004374021,0.00033564024,0.00020751152],"domain_scores_gemma":[0.99740773,0.0012968272,0.0001893749,0.00032097194,0.00045907815,0.00032594756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014558564,0.0008470866,0.0007491326,0.0012431087,0.0019975044,0.0028657508,0.0012476161,0.0011900715,0.010424607],"category_scores_gemma":[0.0050289817,0.0004797205,0.0010528604,0.0006322523,0.004338409,0.0066578155,0.0044896356,0.0035898858,0.0010481431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004478021,0.000010140513,0.0003810378,0.00010508862,0.000014716685,0.00026689918,0.00091822445,0.0007279627,0.0025182383,0.98595667,0.002733119,0.006323157],"study_design_scores_gemma":[0.000030980525,0.0000911112,0.0018161329,0.00005933222,0.000021975693,0.000599345,0.0007976903,0.011028549,0.0047368687,0.94671685,0.0340523,0.00004885099],"about_ca_topic_score_codex":0.0017735681,"about_ca_topic_score_gemma":0.0010502437,"teacher_disagreement_score":0.010424607,"about_ca_system_score_codex":0.0009791772,"about_ca_system_score_gemma":0.00037035783,"threshold_uncertainty_score":0.034873784},"labels":[],"label_agreement":null},{"id":"W2963965565","doi":"10.1090/proc/14095","title":"A more intuitive proof of a sharp version of Halász’s theorem","year":2018,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","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":"Université de Montréal","funders":"H2020 European Research Council; Canada Research Chairs; Simons Foundation; National Science Foundation","keywords":"Mathematics; Calculus (dental); Mathematical economics; Discrete mathematics","score_opus":0.024769915020474192,"score_gpt":0.32098618675268753,"score_spread":0.2962162717322133,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963965565","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.020278757,0.003022808,0.7243979,0.01858711,0.0039761392,0.00015164744,0.0013456191,0.0020120472,0.22622807],"genre_scores_gemma":[0.5717034,0.0040719346,0.25904608,0.018376958,0.0034987773,0.00079491123,0.0015431595,0.0026635372,0.13830125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99747926,0.00045722892,0.00015333052,0.00067835045,0.0007898829,0.00044204167],"domain_scores_gemma":[0.9962986,0.0016129003,0.00018157349,0.00049502973,0.0011589929,0.0002528931],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040183347,0.0021063646,0.0014580792,0.0026915094,0.0025440364,0.0049266536,0.002603594,0.0018318841,0.039061032],"category_scores_gemma":[0.009736816,0.00091417105,0.0037527366,0.001746738,0.0060196146,0.0100593455,0.007828438,0.007686109,0.007804389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003907567,0.00002409569,0.00021663094,0.00013351631,0.00003361845,0.00015445238,0.00027041193,0.0008470281,0.0012767204,0.9741582,0.012995304,0.009851046],"study_design_scores_gemma":[0.00003225247,0.00003134372,0.00033038025,0.000044240653,0.00003201039,0.00023990695,0.00013043827,0.00378718,0.0014928816,0.9638218,0.0300267,0.000030789404],"about_ca_topic_score_codex":0.0032067392,"about_ca_topic_score_gemma":0.0022832255,"teacher_disagreement_score":0.039061032,"about_ca_system_score_codex":0.002673999,"about_ca_system_score_gemma":0.0011174951,"threshold_uncertainty_score":0.13067222},"labels":[],"label_agreement":null},{"id":"W2964162214","doi":"10.1090/proc/14274","title":"On the first and second eigenvalue of finite and infinite uniform hypergraphs","year":2018,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Science Foundation of Jiangxi Province; Javna Agencija za Raziskovalno Dejavnost RS; Natural Sciences and Engineering Research Council of Canada; Government of Jiangxi Province; National Natural Science Foundation of China","keywords":"Eigenvalues and eigenvectors; Mathematics; Pure mathematics; Finite set; Combinatorics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.02147293581004314,"score_gpt":0.27051273084178634,"score_spread":0.2490397950317432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964162214","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29200855,0.006422183,0.5252249,0.0056814775,0.00089415273,0.00006717471,0.0007197543,0.0011687976,0.16781305],"genre_scores_gemma":[0.9254402,0.0030093775,0.044711944,0.00083210564,0.0015486362,0.00023985276,0.00065682223,0.00067256053,0.022888523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983803,0.0005021882,0.0000622964,0.00031033155,0.00038213612,0.00036273757],"domain_scores_gemma":[0.97084653,0.022330383,0.0015651312,0.0014133945,0.0019439737,0.0019005848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002645096,0.0014623307,0.0011703076,0.0043136906,0.0015947403,0.0033584402,0.0016277969,0.0015096578,0.010692638],"category_scores_gemma":[0.019478643,0.000709854,0.00086895126,0.0019679526,0.0044072648,0.006941721,0.0029235235,0.004037272,0.0017271716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001435635,0.000052229832,0.0008723039,0.00019990526,0.000025049945,0.00013687956,0.00042901142,0.009606674,0.0034045791,0.9669076,0.006207198,0.012014925],"study_design_scores_gemma":[0.00001345787,0.000024048997,0.0007869797,0.000076141,0.00001677711,0.00015870598,0.00014506653,0.04522548,0.0013377634,0.94981766,0.0023604133,0.00003757029],"about_ca_topic_score_codex":0.0010425915,"about_ca_topic_score_gemma":0.0012444538,"teacher_disagreement_score":0.010692638,"about_ca_system_score_codex":0.0019126202,"about_ca_system_score_gemma":0.00065487885,"threshold_uncertainty_score":0.035770416},"labels":[],"label_agreement":null},{"id":"W2964189578","doi":"10.1090/s0002-9939-2013-11728-4","title":"The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Fundação para a Ciência e a Tecnologia","keywords":"Monotonic function; Streamlines, streaklines, and pathlines; Algorithm; Diffusion; Reaction–diffusion system; Computer science; Mathematics; Thermodynamics; Mathematical analysis; Physics","score_opus":0.012438701015890015,"score_gpt":0.26675683049866916,"score_spread":0.25431812948277915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964189578","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30945456,0.0019006362,0.62293893,0.00490804,0.00061441114,0.00017780415,0.000401418,0.0008691044,0.058735035],"genre_scores_gemma":[0.89017916,0.0012989788,0.0972566,0.0004104895,0.00018546767,0.00017535093,0.00018906096,0.00039737753,0.0099074785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99823415,0.00041330908,0.00013290245,0.00040532672,0.00054051727,0.00027380305],"domain_scores_gemma":[0.9825729,0.01059746,0.0023620143,0.0016681035,0.0020915112,0.0007080527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027583581,0.0010708083,0.00076442596,0.0013719702,0.0013253657,0.0024696153,0.0014645047,0.0016041991,0.0059256344],"category_scores_gemma":[0.022996679,0.00061828515,0.0013971301,0.00056554755,0.0031120854,0.0063428637,0.0029358757,0.004123806,0.00085748633],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005997315,0.00012785618,0.0042004846,0.0009133095,0.00008359128,0.0017823054,0.0007378224,0.0878293,0.09047614,0.7792108,0.004121507,0.029917223],"study_design_scores_gemma":[0.00008029671,0.00025424454,0.0018657185,0.000096189964,0.00008721057,0.0013984283,0.00024989355,0.740898,0.050479043,0.19450131,0.009976444,0.000113218055],"about_ca_topic_score_codex":0.0018348328,"about_ca_topic_score_gemma":0.0006187167,"teacher_disagreement_score":0.0059256344,"about_ca_system_score_codex":0.0010776339,"about_ca_system_score_gemma":0.0012227107,"threshold_uncertainty_score":0.019823194},"labels":[],"label_agreement":null},{"id":"W2964244011","doi":"10.1090/proc/14647","title":"Associating geometry to the Lie superalgebra 𝔰𝔩(1|1) and to the color Lie algebra 𝔰𝔩^{𝔠}₂(\\Bbbk)","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","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":"Engineering and Physical Sciences Research Council; Banff International Research Station for Mathematical Innovation and Discovery; National Science Foundation","keywords":"Lie superalgebra; Graded Lie algebra; Simple Lie group; Physics; Mathematics; Lie algebra; Geometry; Algebra over a field; Pure mathematics; Affine Lie algebra; Current algebra","score_opus":0.016521931909699,"score_gpt":0.28526268515795933,"score_spread":0.2687407532482603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964244011","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25600535,0.002583873,0.26794055,0.004676356,0.0014645639,0.00011311365,0.00065076986,0.0015799508,0.46498543],"genre_scores_gemma":[0.88264066,0.0011730598,0.039320525,0.0006926375,0.00079005637,0.00007853497,0.00044557292,0.0004777292,0.07438122],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883443,0.00032535993,0.000045652487,0.0002914002,0.0003102324,0.0001930525],"domain_scores_gemma":[0.9993593,0.00007353767,0.00009849695,0.000102019185,0.00021746269,0.00014923302],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000924819,0.0006029331,0.00041030662,0.0016163167,0.0019175594,0.0032346947,0.00079831097,0.00087397115,0.009199181],"category_scores_gemma":[0.0013176842,0.000359684,0.0007006277,0.0015441667,0.005222053,0.004678486,0.0024147124,0.0018035234,0.0025100042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000066370485,0.0000037760544,0.00010297034,0.000010944813,0.0000031388024,0.00003826715,0.0002557388,0.00017236329,0.00036545115,0.99559504,0.00067665265,0.0027690288],"study_design_scores_gemma":[0.000004938981,0.000021171398,0.0004907231,0.000009239234,0.0000062858576,0.00016839539,0.00016837855,0.0012696239,0.0008743894,0.9717414,0.02522617,0.000019252011],"about_ca_topic_score_codex":0.003824651,"about_ca_topic_score_gemma":0.0023317467,"teacher_disagreement_score":0.009199181,"about_ca_system_score_codex":0.0020228617,"about_ca_system_score_gemma":0.0010659131,"threshold_uncertainty_score":0.030774295},"labels":[],"label_agreement":null},{"id":"W2964306940","doi":"10.1090/proc/14775","title":"Nikolskii inequality for lacunary spherical polynomials","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Science Foundation","keywords":"Lacunary function; Mathematics; Inequality; Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.035273740546318974,"score_gpt":0.31410255112580254,"score_spread":0.27882881057948355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964306940","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19852401,0.0032582786,0.23023471,0.009385221,0.0014802328,0.00010439375,0.0010544149,0.0008000442,0.5551587],"genre_scores_gemma":[0.88692653,0.0024594213,0.024983166,0.0016804024,0.00090058637,0.00016051708,0.0007743744,0.0004902865,0.08162474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986022,0.00024576846,0.00005540117,0.00025350347,0.00044285087,0.00040028527],"domain_scores_gemma":[0.99672264,0.001390181,0.00033766858,0.00029341885,0.0007906813,0.0004653551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023268356,0.0011870775,0.00081839244,0.0022284999,0.0015290471,0.0031713485,0.0017384083,0.0010428891,0.021138666],"category_scores_gemma":[0.009513144,0.00034161715,0.0011203683,0.0012878512,0.0034658748,0.0045571364,0.0032667972,0.0039936113,0.0054949233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042929918,0.000016415986,0.0005113094,0.000112875205,0.000010971413,0.000084686246,0.00019578487,0.0012445668,0.0012739241,0.98466176,0.0036483803,0.00819646],"study_design_scores_gemma":[0.00001842057,0.000043543077,0.0011834527,0.00005568331,0.00001720815,0.00017133128,0.00017347193,0.024052305,0.0016862823,0.96369,0.008876395,0.000032039756],"about_ca_topic_score_codex":0.004912365,"about_ca_topic_score_gemma":0.0039361175,"teacher_disagreement_score":0.021138666,"about_ca_system_score_codex":0.0033037537,"about_ca_system_score_gemma":0.0017468934,"threshold_uncertainty_score":0.070715904},"labels":[],"label_agreement":null},{"id":"W2964495894","doi":"10.1090/proc/14786","title":"Dual graphs from noncommutative and quasisymmetric Schur functions","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Noncommutative geometry; Dual (grammatical number); Mathematics; Combinatorics; Partially ordered set; Schur algebra; Schur product theorem; Schur's lemma; Pure mathematics; Schur decomposition; Schur complement; Physics; Philosophy; Linguistics","score_opus":0.029206094483927206,"score_gpt":0.3041674730515669,"score_spread":0.2749613785676397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964495894","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54256296,0.0005653273,0.33460018,0.001031909,0.00055845606,0.00014688591,0.00036608923,0.0004223262,0.11974594],"genre_scores_gemma":[0.93429285,0.00048147904,0.041754927,0.00038880092,0.00037157978,0.00011975876,0.00042426758,0.00018257897,0.02198381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991277,0.00017664643,0.000055330926,0.00023161634,0.00026543246,0.00014317656],"domain_scores_gemma":[0.9990281,0.00021060256,0.00015802673,0.00015869699,0.00019451194,0.0002500953],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008580875,0.00069697486,0.00048512,0.0022573136,0.0017363111,0.0038305558,0.0006839018,0.00077897625,0.0057367077],"category_scores_gemma":[0.0015209479,0.0004717373,0.0009820589,0.0008253511,0.003147982,0.005697335,0.0030129075,0.0023418595,0.0008241177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011604953,0.0000105830095,0.00011131531,0.000009711312,0.0000019745876,0.00008518383,0.00016132601,0.00015948559,0.0011129186,0.9965005,0.00012586293,0.0017095007],"study_design_scores_gemma":[0.000011935927,0.000018203727,0.00022050692,0.000009246154,0.0000104444825,0.00029446985,0.00023124006,0.0025935539,0.0028122533,0.9894918,0.0042910744,0.00001537238],"about_ca_topic_score_codex":0.0005057951,"about_ca_topic_score_gemma":0.00065497967,"teacher_disagreement_score":0.0057367077,"about_ca_system_score_codex":0.0008161908,"about_ca_system_score_gemma":0.0005320845,"threshold_uncertainty_score":0.019191206},"labels":[],"label_agreement":null},{"id":"W2965750414","doi":"10.1090/proc/14793","title":"On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture","year":2019,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","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":"Queen's University","funders":"Queen's University","keywords":"Mathematics; Kronecker delta; Euler's formula; Conjecture; Constant (computer programming); Combinatorics; Algebraic number field; Dedekind cut; Tower; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.03187423335351747,"score_gpt":0.3213195337904169,"score_spread":0.2894453004368994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2965750414","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8153162,0.0051538674,0.09425376,0.003783156,0.00042968156,0.00004096868,0.00027250362,0.00020916105,0.08054066],"genre_scores_gemma":[0.9874594,0.0011445801,0.005608986,0.00020409086,0.00019093024,0.000038139497,0.00011981028,0.000023564093,0.0052104695],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994723,0.00010722832,0.00002765357,0.00016079785,0.00009916081,0.00013284566],"domain_scores_gemma":[0.9969267,0.0017319279,0.0003595251,0.00040022182,0.00025029576,0.00033131582],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019940757,0.000916363,0.0006910836,0.0030170814,0.0014506661,0.0023209827,0.0010494236,0.0009436017,0.003667798],"category_scores_gemma":[0.0075631584,0.0003937499,0.0006650653,0.0013647134,0.005085479,0.006189463,0.0025340926,0.002397927,0.00043506784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007494156,0.000015066762,0.0014385192,0.00005579056,0.000009451153,0.000120850105,0.0002594236,0.0022637667,0.0012288312,0.98946476,0.00078913366,0.0042793467],"study_design_scores_gemma":[0.000026425912,0.000035065183,0.001514257,0.000058162324,0.000021135993,0.00020692674,0.000218419,0.0112291025,0.0019344052,0.9808462,0.0038845341,0.000025352938],"about_ca_topic_score_codex":0.0010537328,"about_ca_topic_score_gemma":0.0008562698,"teacher_disagreement_score":0.003667798,"about_ca_system_score_codex":0.0014501812,"about_ca_system_score_gemma":0.0005698726,"threshold_uncertainty_score":0.012270033},"labels":[],"label_agreement":null},{"id":"W2966675631","doi":"10.1090/proc/14780","title":"On the size of orbits in the duals of 𝐶*-algebras and convolution algebras","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dual polyhedron; Convolution (computer science); Pure mathematics; Mathematics; Algebra over a field; Computer science; Artificial intelligence","score_opus":0.02237824064903542,"score_gpt":0.30571596220975567,"score_spread":0.28333772156072023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966675631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.71237224,0.0031029938,0.20337363,0.0068322993,0.00041678423,0.00007208298,0.001033269,0.00044069995,0.07235596],"genre_scores_gemma":[0.9764947,0.00080348656,0.014243172,0.00030844068,0.00039154978,0.00007280537,0.0003488301,0.0001635709,0.007173404],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984842,0.00039314534,0.0000904192,0.00038478398,0.00037675205,0.00027068763],"domain_scores_gemma":[0.98957586,0.006455001,0.0008972199,0.0010262524,0.0008028397,0.001242789],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024549374,0.0005491219,0.0014002349,0.0018091394,0.0019729252,0.0048198286,0.0018572287,0.0015399408,0.011101856],"category_scores_gemma":[0.011876824,0.0005683077,0.0012201669,0.00078476506,0.004402507,0.012563705,0.0044263434,0.002917465,0.00072292256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087656124,0.000015878493,0.00043792595,0.000052952644,0.000008051772,0.00004206878,0.00022692123,0.0006289782,0.0005716623,0.99455583,0.0006256173,0.0027464542],"study_design_scores_gemma":[0.000014498335,0.0000144800115,0.00021814316,0.000015562204,0.00000748857,0.00005756508,0.00008825901,0.0053461674,0.00048236822,0.9929269,0.0008188935,0.000009741977],"about_ca_topic_score_codex":0.0009847747,"about_ca_topic_score_gemma":0.00056659157,"teacher_disagreement_score":0.011101856,"about_ca_system_score_codex":0.0015821959,"about_ca_system_score_gemma":0.00094324665,"threshold_uncertainty_score":0.037139356},"labels":[],"label_agreement":null},{"id":"W2966969174","doi":"10.1090/proc/15041","title":"The Heintze-Karcher inequality for metric measure spaces","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","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":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Pure mathematics; Ricci curvature; Metric space; Curvature; Measure (data warehouse); Context (archaeology); Metric (unit); Mathematical analysis; Geometry; Computer science","score_opus":0.07631809189471088,"score_gpt":0.33405648091738943,"score_spread":0.25773838902267854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2966969174","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17783755,0.0066037592,0.6069167,0.0107957525,0.0007190531,0.000109510045,0.0007731776,0.00074481167,0.19549963],"genre_scores_gemma":[0.9107788,0.0033041788,0.05212269,0.0018306096,0.0007727876,0.00020711707,0.0007107937,0.0003682657,0.029904665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778676,0.0004433163,0.000091722846,0.00048323692,0.0007941218,0.00040091178],"domain_scores_gemma":[0.99506205,0.0027092642,0.00032310613,0.000495167,0.00092509016,0.0004852926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0030253099,0.0010364569,0.0011214915,0.0026644722,0.0018089089,0.0034491266,0.0019036542,0.0019161471,0.011061035],"category_scores_gemma":[0.010585036,0.0005048383,0.0015412149,0.0014866918,0.0044051376,0.009455654,0.0044377684,0.006009953,0.0018026285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020807294,0.000008479642,0.0002670646,0.000055720604,0.000013357013,0.000083343955,0.00010898521,0.0013620184,0.0010843739,0.99217236,0.0011581716,0.0036651467],"study_design_scores_gemma":[0.000009287258,0.000020031475,0.00061273103,0.000019989911,0.0000137668,0.00013812256,0.00004868732,0.019810162,0.00097312045,0.9748166,0.0035173337,0.000020170897],"about_ca_topic_score_codex":0.0022315958,"about_ca_topic_score_gemma":0.0013768446,"teacher_disagreement_score":0.011061035,"about_ca_system_score_codex":0.003060459,"about_ca_system_score_gemma":0.001243978,"threshold_uncertainty_score":0.03700286},"labels":[],"label_agreement":null},{"id":"W2968992020","doi":"10.1090/proc/15001","title":"Measures with specified support and arbitrary Assouad dimensions","year":2020,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","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":"Acadia University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Dimension (graph theory); Measure (data warehouse); Mathematics; Set (abstract data type); Pure mathematics; Computer science; Data mining","score_opus":0.035134376421445596,"score_gpt":0.2694745287276781,"score_spread":0.23434015230623248,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2968992020","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2682935,0.0012889383,0.6490143,0.0027518205,0.0003987682,0.000081309954,0.0021001855,0.0021264683,0.07394478],"genre_scores_gemma":[0.9120505,0.00038971726,0.07459846,0.00042939032,0.00027808707,0.00021653395,0.0010698921,0.00042840702,0.010538902],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.994561,0.0009283912,0.0006327009,0.0013540436,0.0016561224,0.0008676397],"domain_scores_gemma":[0.98430645,0.00771545,0.0014848151,0.003126805,0.0022151994,0.001151208],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035067098,0.0014899991,0.0015050734,0.0034243995,0.0023017435,0.007808382,0.0020168303,0.0017407152,0.010665977],"category_scores_gemma":[0.02050784,0.0008471366,0.0016481244,0.0023429974,0.003901142,0.012040788,0.006031192,0.0033092697,0.0023509078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001062174,0.000030522653,0.0012316512,0.000063787564,0.0000222907,0.00015575634,0.00028623256,0.0017648713,0.0011628002,0.98653966,0.0011847221,0.0074515864],"study_design_scores_gemma":[0.000034265286,0.00006338238,0.00094894035,0.000064827684,0.000030722586,0.00043346934,0.00037439444,0.021878755,0.0035885836,0.9600852,0.012440483,0.00005705168],"about_ca_topic_score_codex":0.0012524507,"about_ca_topic_score_gemma":0.0011808363,"teacher_disagreement_score":0.010665977,"about_ca_system_score_codex":0.0020439706,"about_ca_system_score_gemma":0.0007805199,"threshold_uncertainty_score":0.035681248},"labels":[],"label_agreement":null},{"id":"W2978176133","doi":"10.1090/proc/15251","title":"A note on the selfsimilarity of limit flows","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Koret Foundation; Simons Foundation; Alfred P. Sloan Foundation","keywords":"Gravitational singularity; Mathematics; Limit (mathematics); Singularity; Regular polygon; Mean curvature flow; Conjecture; Equivalence (formal languages); Mathematical analysis; Curvature; Sequence (biology); Uniform limit theorem; Pure mathematics; Mean curvature; Geometry","score_opus":0.04857089506504497,"score_gpt":0.2979905988900281,"score_spread":0.24941970382498313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2978176133","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67577535,0.006246521,0.2356008,0.0052796933,0.0007553606,0.000056149427,0.00016986007,0.00026984786,0.07584641],"genre_scores_gemma":[0.9596752,0.0019956103,0.026977468,0.0005913635,0.0007796505,0.000036790574,0.00010057701,0.00006471317,0.009778659],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995435,0.00011398281,0.000028864644,0.00011803911,0.0001509405,0.000044624652],"domain_scores_gemma":[0.99810034,0.0008656627,0.00025352061,0.00024594073,0.00027922235,0.00025527662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00119615,0.00026560432,0.00050137064,0.0011153368,0.0012341352,0.0012012658,0.00056149106,0.0006790241,0.002069042],"category_scores_gemma":[0.0044453545,0.00019561705,0.00076911045,0.00044930776,0.002720896,0.0024654826,0.002319857,0.001400705,0.00018952685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026752703,0.000023873858,0.0017888369,0.00006684093,0.000016828191,0.00041550034,0.00051254313,0.0034353232,0.003821027,0.9794586,0.0017310972,0.008702789],"study_design_scores_gemma":[0.000013391098,0.00011576024,0.0034222857,0.00004125756,0.000023958839,0.0007633657,0.00023931492,0.03116857,0.002630567,0.94757795,0.013972316,0.000031257572],"about_ca_topic_score_codex":0.00080396637,"about_ca_topic_score_gemma":0.0005624694,"teacher_disagreement_score":0.002069042,"about_ca_system_score_codex":0.00060365786,"about_ca_system_score_gemma":0.00029072628,"threshold_uncertainty_score":0.0069217086},"labels":[],"label_agreement":null},{"id":"W2982326192","doi":"10.1090/proc/14890","title":"A class of nilpotent Lie algebras whose center acts nontrivially in cohomology","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Nilpotent; Mathematics; Pure mathematics; Codimension; Center (category theory); Class (philosophy); Central series; Cohomology; Lie algebra; Ideal (ethics); Abelian group; Nilpotent group; Algebra over a field; Computer science; Chemistry; Artificial intelligence","score_opus":0.016646464663150645,"score_gpt":0.2859688300729089,"score_spread":0.2693223654097583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982326192","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9658157,0.0002865984,0.01340523,0.00032498688,0.000087331246,0.000020665077,0.000046919948,0.0001112491,0.019901145],"genre_scores_gemma":[0.9966882,0.00007555896,0.001179213,0.00002828701,0.00006291934,0.0000084434305,0.00003941246,0.000009161815,0.001908728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979943,0.000022763854,0.000007871286,0.000045717952,0.00005219536,0.000072056384],"domain_scores_gemma":[0.9993616,0.00016170589,0.00011488535,0.0000624675,0.00007701093,0.00022245273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022119693,0.00047620802,0.00053321413,0.0009342449,0.0020892206,0.0019523816,0.0005737071,0.0005841848,0.0027247495],"category_scores_gemma":[0.0009680128,0.00014805995,0.00038602404,0.0003955418,0.002192848,0.0016519813,0.0016419252,0.0009273284,0.00032067837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000085393316,0.00009042431,0.002193081,0.000091494476,0.000017305345,0.0011287328,0.0008144279,0.0010134872,0.011223419,0.9757323,0.00079170434,0.006818214],"study_design_scores_gemma":[0.0000479351,0.00012488989,0.0023604557,0.000036051802,0.000029415029,0.0018841883,0.00071363105,0.012475103,0.007934802,0.9689717,0.0053789522,0.000042890548],"about_ca_topic_score_codex":0.0003403148,"about_ca_topic_score_gemma":0.00030058972,"teacher_disagreement_score":0.0027247495,"about_ca_system_score_codex":0.000411479,"about_ca_system_score_gemma":0.0005005491,"threshold_uncertainty_score":0.0091151595},"labels":[],"label_agreement":null},{"id":"W2982460866","doi":"10.1090/proc/14861","title":"Operators polynomially isometric to a normal operator","year":2019,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China; China Scholarship Council; Natural Science Foundation of Jilin Province","keywords":"Isometric exercise; Operator (biology); Mathematics; Computer science; Medicine; Internal medicine; Biology; Genetics","score_opus":0.01639013446371742,"score_gpt":0.29029284459248356,"score_spread":0.27390271012876616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982460866","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16319755,0.00078355946,0.41316906,0.005032711,0.0018188227,0.000117098534,0.0012952525,0.0018242234,0.41276163],"genre_scores_gemma":[0.72140175,0.0012698382,0.054620415,0.001709809,0.0019513421,0.00013994554,0.0015597357,0.0015120181,0.21583523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983714,0.00027010398,0.00006434048,0.00041782888,0.00059324614,0.00028304145],"domain_scores_gemma":[0.9984328,0.00038477793,0.00011475877,0.00022258855,0.0005812584,0.000263787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008892594,0.0007778599,0.0005544495,0.0011416853,0.00096905965,0.0021467756,0.00081363285,0.00070414186,0.02149308],"category_scores_gemma":[0.0032779532,0.00035066818,0.0012012881,0.00081767293,0.0021487274,0.00443313,0.0026458006,0.0032602514,0.004787159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003138473,0.000024898427,0.0000807555,0.000033133674,0.0000061297865,0.000060020175,0.0001706185,0.00046752385,0.0011020908,0.98628217,0.004991403,0.006749869],"study_design_scores_gemma":[0.00002151959,0.000045182103,0.00037211095,0.000012539966,0.0000086125865,0.00021462297,0.00015735657,0.012111394,0.0014940578,0.9645113,0.021028822,0.000022509515],"about_ca_topic_score_codex":0.003014369,"about_ca_topic_score_gemma":0.0022468262,"teacher_disagreement_score":0.02149308,"about_ca_system_score_codex":0.0016852394,"about_ca_system_score_gemma":0.0012168196,"threshold_uncertainty_score":0.0719015},"labels":[],"label_agreement":null},{"id":"W2982479547","doi":"10.1090/proc/14912","title":"Erratum to “The ergodicity of weak Hilbert spaces”","year":2019,"lang":"en","type":"erratum","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","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":"Lakehead University","funders":"","keywords":"Ergodicity; Argument (complex analysis); Mathematics; Reduction (mathematics); Pure mathematics; Hilbert space; Calculus (dental); Discrete mathematics; Mathematical economics; Statistics; Geometry; Medicine","score_opus":0.017357744713709974,"score_gpt":0.28874373942535386,"score_spread":0.2713859947116439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982479547","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000295602,0.0025326374,0.0030419326,0.064458296,0.9106734,0.000027256201,0.0007172959,0.00037538251,0.017878158],"genre_scores_gemma":[0.021484584,0.012374571,0.010533723,0.108895525,0.33146638,0.00022000064,0.0035993012,0.0021979061,0.50922805],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9967675,0.0005629778,0.0004860509,0.00051640073,0.0014426636,0.00022440059],"domain_scores_gemma":[0.99109066,0.0022702813,0.00049351633,0.000702382,0.0050029396,0.00044022614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002624033,0.0019158873,0.0010684106,0.0027975757,0.0030275472,0.003121189,0.002999833,0.0036238283,0.0436197],"category_scores_gemma":[0.022426564,0.0007706827,0.0011099692,0.0015500793,0.0025363644,0.0039179972,0.0016555925,0.006975554,0.026800094],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034214718,0.0000074965265,0.000033447068,0.000087620836,0.000006907204,0.000063232495,0.000025199497,0.000041137813,0.00009317251,0.0062680705,0.98683655,0.006502951],"study_design_scores_gemma":[0.000023705315,0.000022875145,0.00046305696,0.00023422741,0.000021566877,0.0002006696,0.0000426902,0.00031135144,0.00054428575,0.0077149966,0.99038917,0.000031360323],"about_ca_topic_score_codex":0.007825649,"about_ca_topic_score_gemma":0.00902204,"teacher_disagreement_score":0.0436197,"about_ca_system_score_codex":0.0037536197,"about_ca_system_score_gemma":0.002967437,"threshold_uncertainty_score":0.14592242},"labels":[],"label_agreement":null},{"id":"W2982551279","doi":"10.1090/proc/14859","title":"Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","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 British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Monotone polygon; Computer science; Mathematics; Artificial intelligence; Geometry","score_opus":0.0068287948237744965,"score_gpt":0.2396109086589292,"score_spread":0.2327821138351547,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982551279","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15480599,0.04368737,0.24518861,0.40917748,0.007909814,0.000043684417,0.0009749869,0.0006948391,0.1375172],"genre_scores_gemma":[0.8794971,0.016145034,0.042831644,0.026493661,0.014244189,0.000108144064,0.0007739252,0.0003467088,0.01955961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99761367,0.0008844205,0.00012421185,0.0005494454,0.0005961171,0.00023217649],"domain_scores_gemma":[0.99220663,0.0054553794,0.0003711133,0.00040481787,0.0012157933,0.00034624094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036754343,0.0007759095,0.00094419305,0.0009931541,0.0020212058,0.0023107633,0.0011194316,0.0035028842,0.0035139853],"category_scores_gemma":[0.016057193,0.000635889,0.0012413687,0.0014797886,0.0072375964,0.013529432,0.0023374988,0.005559995,0.00068111205],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027692782,0.000010817793,0.00014919892,0.000054271673,0.000009571793,0.00008445842,0.00020807613,0.0005512499,0.00026590077,0.98210365,0.011927631,0.0046074865],"study_design_scores_gemma":[0.000011872895,0.000009457217,0.00014230967,0.000022257092,0.000004301579,0.000091182395,0.00012339403,0.0017867397,0.00025460433,0.98670805,0.010829221,0.000016608716],"about_ca_topic_score_codex":0.0014746035,"about_ca_topic_score_gemma":0.0007886716,"teacher_disagreement_score":0.0036754343,"about_ca_system_score_codex":0.0022463088,"about_ca_system_score_gemma":0.0008944375,"threshold_uncertainty_score":0.01943779},"labels":[],"label_agreement":null},{"id":"W2982576367","doi":"10.1090/proc/14840","title":"Nonpositive curvature, the variance functional, and the Wasserstein barycenter","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","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 Alberta; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Mathematics; Convexity; Probability measure; Invariant (physics); Curvature; Regular polygon; Wasserstein metric; Variance (accounting); Projection (relational algebra); Measure (data warehouse); Pure mathematics; Mathematical analysis; Geometry","score_opus":0.011307007101159167,"score_gpt":0.23651120027006847,"score_spread":0.2252041931689093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2982576367","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49942464,0.0015072587,0.46717325,0.002655718,0.0001254342,0.000031782554,0.00023901246,0.00021723483,0.028625656],"genre_scores_gemma":[0.98072505,0.00045806865,0.014422165,0.00016648267,0.00011422266,0.00004391652,0.00013254586,0.00008137445,0.0038562622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930716,0.00017831927,0.0000310282,0.0001546252,0.00020789402,0.000121018595],"domain_scores_gemma":[0.99750215,0.0010574107,0.0004838428,0.000249285,0.00035484784,0.00035250702],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009885371,0.00071863044,0.0005412798,0.0015504401,0.00077336904,0.0013916927,0.000668328,0.0007452193,0.001844042],"category_scores_gemma":[0.0047179637,0.00038523073,0.00048931484,0.0006006632,0.0035373112,0.0026172542,0.0022339318,0.0010972912,0.0002639765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030387735,0.000011258753,0.0018040454,0.000041690193,0.000014950372,0.00020338429,0.00013029821,0.009789096,0.005676646,0.9758859,0.00080316863,0.0056091794],"study_design_scores_gemma":[0.000010279644,0.00006074098,0.006485016,0.000023794315,0.000020660935,0.000544696,0.00011169196,0.14373489,0.0036374812,0.8422925,0.0030282876,0.000049910446],"about_ca_topic_score_codex":0.0012931308,"about_ca_topic_score_gemma":0.0010837333,"teacher_disagreement_score":0.001844042,"about_ca_system_score_codex":0.0011845327,"about_ca_system_score_gemma":0.0005432879,"threshold_uncertainty_score":0.008594453},"labels":[],"label_agreement":null},{"id":"W2995837156","doi":"10.1090/proc/14967","title":"A note on the vanishing of the 2nd 𝐿²-Betti number","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Betti number; Lemma (botany); Mathematics; Pure mathematics; Property (philosophy); Combinatorics; Biology; Philosophy; Ecology; Epistemology","score_opus":0.018483856240435796,"score_gpt":0.29171399795067926,"score_spread":0.27323014171024346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2995837156","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22337313,0.008716045,0.17876238,0.019434478,0.0074582393,0.000052281324,0.00037849648,0.0009848811,0.5608402],"genre_scores_gemma":[0.9313826,0.002715568,0.015593408,0.0015393723,0.002882714,0.000033342494,0.00015036645,0.00031730527,0.045385256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993358,0.00015203415,0.00003184521,0.00011733295,0.00021896069,0.00014405303],"domain_scores_gemma":[0.998539,0.00072297564,0.00011813142,0.00019249137,0.00021730222,0.00021008814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012301643,0.0006952649,0.0007711848,0.0019626578,0.0013611646,0.0023639875,0.0013950857,0.00080670946,0.009561056],"category_scores_gemma":[0.0045258636,0.00033787006,0.0007912193,0.0011637621,0.004681771,0.0035652712,0.0024020737,0.0031281984,0.0015676304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000158122,0.000007905448,0.00017529332,0.000044887132,0.0000046315863,0.00012588824,0.00017231333,0.0002940093,0.0005009833,0.9905812,0.0035162917,0.004560805],"study_design_scores_gemma":[0.00000700382,0.000021173257,0.00032885873,0.00001792906,0.000009166949,0.00017197813,0.000054710774,0.0031124589,0.00080511376,0.9834155,0.012037841,0.000018288418],"about_ca_topic_score_codex":0.003348682,"about_ca_topic_score_gemma":0.0023995063,"teacher_disagreement_score":0.009561056,"about_ca_system_score_codex":0.0015029659,"about_ca_system_score_gemma":0.00076692214,"threshold_uncertainty_score":0.031984925},"labels":[],"label_agreement":null},{"id":"W2996572219","doi":"10.1090/proc/15294","title":"Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Grassmannian; Mathematics; Conjecture; Schubert calculus; Counterexample; Pure mathematics; Ideal (ethics); Schubert polynomial; Degree (music); Permutation (music); Flag (linear algebra); Polynomial; Combinatorics; Algebra over a field; Mathematical analysis; Physics; Philosophy","score_opus":0.05254168459089027,"score_gpt":0.31190224614571294,"score_spread":0.2593605615548227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2996572219","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91246885,0.00049111666,0.030529914,0.0011149093,0.00007155112,0.000024029998,0.00019158395,0.0000843034,0.055023734],"genre_scores_gemma":[0.9938725,0.00016244763,0.0025533712,0.00003722893,0.000062033105,0.00001302064,0.000077503755,0.00001721922,0.0032046172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962735,0.000050648057,0.00001281391,0.000081960425,0.000116298994,0.00011079077],"domain_scores_gemma":[0.99925464,0.00028873078,0.00012060783,0.00009272367,0.00008132152,0.00016193258],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047500207,0.0003158257,0.00035814836,0.0016928336,0.0010209832,0.0015341662,0.0008262749,0.00044631833,0.004289682],"category_scores_gemma":[0.0026074774,0.00031810658,0.00046091774,0.00088366325,0.0026843015,0.0030835264,0.0015733705,0.0014283055,0.0003709518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006732845,0.000020895608,0.002614356,0.000044187855,0.000008000818,0.0001266238,0.00038535654,0.0021937666,0.0028757218,0.9827863,0.0006783782,0.008199122],"study_design_scores_gemma":[0.000026412446,0.00003548216,0.0061862576,0.0000347458,0.000018418052,0.0004282252,0.00032842203,0.017817875,0.0049623526,0.9655195,0.0046064216,0.000036088317],"about_ca_topic_score_codex":0.0016693282,"about_ca_topic_score_gemma":0.0018759622,"teacher_disagreement_score":0.004289682,"about_ca_system_score_codex":0.0011956875,"about_ca_system_score_gemma":0.0003175427,"threshold_uncertainty_score":0.014350414},"labels":[],"label_agreement":null},{"id":"W3003652935","doi":"10.1090/proc/15002","title":"A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings","year":2020,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Endomorphism; Mathematics; Prime (order theory); Endomorphism ring; Pure mathematics; Discrete mathematics; Combinatorics","score_opus":0.0413567957981695,"score_gpt":0.2837791505428429,"score_spread":0.2424223547446734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003652935","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12181565,0.0047492995,0.1757619,0.007407848,0.0011443781,0.00007146745,0.0011906523,0.0008315764,0.6870272],"genre_scores_gemma":[0.8200781,0.0039634393,0.030519912,0.0020062309,0.001520272,0.00011105382,0.0010712252,0.00052271714,0.14020708],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987558,0.00024978287,0.0000536307,0.00037844607,0.0003259119,0.00023655215],"domain_scores_gemma":[0.9982368,0.0007788081,0.00013279614,0.0002725608,0.00033967226,0.0002393871],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018317099,0.00091076695,0.0011514818,0.0020026488,0.0019118584,0.0032589345,0.0010200319,0.0009967098,0.021625247],"category_scores_gemma":[0.0032602716,0.00049960794,0.0013951868,0.001409006,0.0026767142,0.008848254,0.0034263316,0.003649909,0.0043949024],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038996306,0.0000125245115,0.00012555778,0.00007156599,0.0000109102675,0.0000637631,0.00015395257,0.0004604049,0.00048307344,0.98807997,0.0038590117,0.0066403793],"study_design_scores_gemma":[0.000019147401,0.000022887018,0.00028842522,0.000022056205,0.000021572969,0.00016669735,0.000071633374,0.0015059385,0.00096556556,0.9792459,0.017653475,0.000016727694],"about_ca_topic_score_codex":0.0011504303,"about_ca_topic_score_gemma":0.000846237,"teacher_disagreement_score":0.021625247,"about_ca_system_score_codex":0.0021873396,"about_ca_system_score_gemma":0.0007359132,"threshold_uncertainty_score":0.07234365},"labels":[],"label_agreement":null},{"id":"W3003787125","doi":"10.1090/proc/15395","title":"Riesz bases of exponentials and the Bohr topology","year":2020,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Secretaría de Ciencia y Técnica, Universidad de Buenos Aires; Secretaria de Ciencia y Tecnica, Universidad de Buenos Aires; Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia, Tecnología e Innovación Productiva; Consejo Nacional de Investigaciones Científicas y Técnicas","keywords":"Bounded function; Mathematics; Bohr model; Omega; Pure mathematics; Locally compact space; Exponential function; Abelian group; Basis (linear algebra); Measure (data warehouse); Topology (electrical circuits); Discrete mathematics; Combinatorics; Mathematical analysis; Computer science; Physics; Geometry; Quantum mechanics","score_opus":0.040571615853036785,"score_gpt":0.3208665278140022,"score_spread":0.28029491196096545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003787125","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38990104,0.0013865945,0.42471698,0.0037102134,0.0005193366,0.00009748652,0.0006976878,0.0009657298,0.17800502],"genre_scores_gemma":[0.934384,0.00051012385,0.037951574,0.00050478557,0.0003036645,0.00008574028,0.00052503205,0.00021479158,0.02552026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988317,0.00024471385,0.00006715424,0.00027899502,0.00030420878,0.00027323296],"domain_scores_gemma":[0.9981376,0.0006819275,0.00015385268,0.00025443255,0.00045666323,0.00031555127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019011219,0.0006364687,0.00078799477,0.0021029466,0.0021093504,0.0031770184,0.0010953784,0.00097140763,0.010839145],"category_scores_gemma":[0.0046259137,0.00047687144,0.001138449,0.00089363934,0.0031285747,0.0059280335,0.0040456695,0.002396699,0.002006901],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001722238,0.000008493074,0.00008185907,0.000020855983,0.0000033792237,0.00002850618,0.00011303502,0.00034626853,0.00039371988,0.9961837,0.0004965942,0.0023062443],"study_design_scores_gemma":[0.000010593617,0.000016922,0.00014486175,0.0000126297355,0.0000043498267,0.000051092415,0.00013299017,0.0049879313,0.00053358055,0.99138427,0.0027083196,0.000012464917],"about_ca_topic_score_codex":0.0010288659,"about_ca_topic_score_gemma":0.00090411503,"teacher_disagreement_score":0.010839145,"about_ca_system_score_codex":0.001054034,"about_ca_system_score_gemma":0.0009801212,"threshold_uncertainty_score":0.036260545},"labels":[],"label_agreement":null},{"id":"W3004903951","doi":"10.1090/proc/15015","title":"Speed selection for reaction diffusion equations in heterogeneous environments","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; University of Northern British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Linearization; Nonlinear system; Advection; Selection (genetic algorithm); Type (biology); Diffusion; Reaction–diffusion system; Applied mathematics; Speedup; Mathematics; Computer science; Control theory (sociology); Mathematical optimization; Mathematical analysis; Physics; Artificial intelligence; Control (management); Geology","score_opus":0.030915987256778108,"score_gpt":0.28407365811322116,"score_spread":0.25315767085644303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3004903951","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1771662,0.0020210927,0.800061,0.002968176,0.0001833965,0.0001795268,0.00018576921,0.00029522704,0.016939655],"genre_scores_gemma":[0.93088555,0.00149945,0.057501644,0.00036154114,0.0002744261,0.0003184941,0.00024053946,0.0001713065,0.0087469565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859554,0.0006327456,0.00009635744,0.00022221843,0.00025001517,0.00020324906],"domain_scores_gemma":[0.9832941,0.011711666,0.002155143,0.0004403293,0.0015293754,0.0008694093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038965289,0.0013692635,0.0012630678,0.0027318513,0.0010196165,0.0023087899,0.0016522487,0.0019781722,0.002414933],"category_scores_gemma":[0.020053057,0.00054477924,0.0014823166,0.00069211447,0.0023420257,0.0030798877,0.002896223,0.0021431565,0.00042530565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016080501,0.00007041638,0.0044612824,0.00031695247,0.00010002765,0.0004822584,0.00050382887,0.18258923,0.011712864,0.7826727,0.0020025347,0.014927052],"study_design_scores_gemma":[0.000030788055,0.000052680818,0.00083533284,0.000038239912,0.000023667331,0.000099000885,0.0000686492,0.7910184,0.0015599391,0.20510529,0.0011205302,0.00004743614],"about_ca_topic_score_codex":0.0014923406,"about_ca_topic_score_gemma":0.0005897083,"teacher_disagreement_score":0.0038965289,"about_ca_system_score_codex":0.0017084358,"about_ca_system_score_gemma":0.00091258076,"threshold_uncertainty_score":0.020607114},"labels":[],"label_agreement":null},{"id":"W3005062152","doi":"10.1090/proc/15009","title":"Addendum to “Amenability and weak amenability of second conjugate Banach algebras”","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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":"Addendum; Banach algebra; Mathematics; Conjugate; Dual (grammatical number); Banach space; Pure mathematics; Derivative (finance); Algebra over a field; Locally compact group; Product (mathematics); Locally compact space; Mathematical analysis; Business","score_opus":0.03452576975052572,"score_gpt":0.31477265924018316,"score_spread":0.2802468894896574,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3005062152","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008179555,0.0069724214,0.19296455,0.028862583,0.18873389,0.00027784836,0.008286286,0.0076584774,0.55806434],"genre_scores_gemma":[0.08124091,0.0084219845,0.065401524,0.009143346,0.062108435,0.00048222314,0.016392328,0.007817385,0.7489919],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989102,0.0001957118,0.0000691868,0.00022184286,0.0005150433,0.00008803252],"domain_scores_gemma":[0.99765104,0.00063735456,0.00013015927,0.0004184618,0.00086555444,0.000297504],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000954845,0.0011602881,0.0007802604,0.001546647,0.0009480881,0.0026954378,0.0017230142,0.00097221695,0.16482],"category_scores_gemma":[0.004607376,0.00045564264,0.0018678051,0.0014657779,0.0009872984,0.003606969,0.002528249,0.0033807196,0.06705057],"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":[0.00016753747,0.0000882921,0.0002093236,0.00046665335,0.000049513637,0.00028399687,0.00022961084,0.00054452516,0.0030205473,0.15193714,0.7861661,0.05683676],"study_design_scores_gemma":[0.00003101498,0.00007266344,0.0009984474,0.000090964786,0.00003691482,0.0003435271,0.00009254322,0.0019024072,0.0035929128,0.086708516,0.9060792,0.00005082279],"about_ca_topic_score_codex":0.0023288766,"about_ca_topic_score_gemma":0.002708159,"teacher_disagreement_score":0.16482,"about_ca_system_score_codex":0.001726805,"about_ca_system_score_gemma":0.0011300407,"threshold_uncertainty_score":0.55137783},"labels":[],"label_agreement":null},{"id":"W3006117259","doi":"10.1090/proc/15307","title":"When the weak separation condition implies the generalized finite type condition","year":2020,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Iterated function; Interval (graph theory); Type (biology); Separation (statistics); Mathematics; Set (abstract data type); Finite set; Function (biology); Pure mathematics; Applied mathematics; Mathematical analysis; Combinatorics; Computer science; Statistics","score_opus":0.04292598263098153,"score_gpt":0.33798193815735317,"score_spread":0.29505595552637165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006117259","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5605406,0.00033907758,0.38352382,0.0016373538,0.00029631052,0.00007082734,0.0003109397,0.0006151676,0.05266586],"genre_scores_gemma":[0.9581965,0.00012765544,0.031256355,0.00034756813,0.00019196678,0.00008716077,0.0003735281,0.00013354949,0.009285691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791926,0.00026839794,0.00017864586,0.00060867076,0.0006097487,0.00041521117],"domain_scores_gemma":[0.99317014,0.0031056001,0.0008390399,0.001048882,0.0011450263,0.00069136586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018821402,0.0003961743,0.0007641092,0.0013838289,0.0016477165,0.0025481367,0.0011697982,0.0013737848,0.006800752],"category_scores_gemma":[0.012723953,0.000378837,0.0013454715,0.00076542544,0.0031264503,0.0067866785,0.0032445735,0.0025236583,0.0009983364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009234956,0.000027694568,0.0019252929,0.00006259079,0.000026381216,0.0004367159,0.00036944775,0.0017376444,0.0033110373,0.9852609,0.0008623443,0.0058876416],"study_design_scores_gemma":[0.000048848055,0.00007677084,0.0010847332,0.000023214634,0.00003343197,0.0008395365,0.00028332748,0.027408246,0.0053638048,0.9605706,0.0042332406,0.000034358345],"about_ca_topic_score_codex":0.0010349379,"about_ca_topic_score_gemma":0.00070577004,"teacher_disagreement_score":0.006800752,"about_ca_system_score_codex":0.0010594603,"about_ca_system_score_gemma":0.00089224573,"threshold_uncertainty_score":0.022750735},"labels":[],"label_agreement":null},{"id":"W3010808037","doi":"10.1090/proc/15098","title":"Some hermitian K-groups via geometric topology","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","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":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"European Research Council; Leverhulme Trust; National Science Foundation","keywords":"Mathematics; Symplectic geometry; Hermitian matrix; Pure mathematics; Quadratic equation; Manifold (fluid mechanics); Homology (biology); Singular homology; Topology (electrical circuits); Group (periodic table); Symplectic manifold; K-theory (physics); Combinatorics; Cohomology; Geometry; Physics","score_opus":0.024052438911341706,"score_gpt":0.2809589194512529,"score_spread":0.25690648053991116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010808037","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81143856,0.00034483138,0.124846995,0.00066193414,0.00017229126,0.00006154018,0.0001817521,0.00021679666,0.062075425],"genre_scores_gemma":[0.9746255,0.00010877273,0.013050308,0.00007241246,0.00008880838,0.000021992351,0.00009446482,0.00004532035,0.011892356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961984,0.0000803597,0.000015618307,0.000059536967,0.00013924374,0.00008533915],"domain_scores_gemma":[0.99961406,0.0000862716,0.00006486919,0.0000512208,0.00008088444,0.000102706355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043384053,0.00041741226,0.00023611804,0.001282328,0.0006643973,0.0013769043,0.00049627357,0.00037997274,0.0078002852],"category_scores_gemma":[0.0011976816,0.00013834468,0.00027233397,0.0004739451,0.0014628209,0.0025800548,0.0013376162,0.00076394464,0.00078309537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001625084,0.000015464762,0.0003875889,0.000015812533,0.000004004846,0.00006947105,0.00022387685,0.0014516611,0.001157709,0.98987764,0.00048165818,0.0062988284],"study_design_scores_gemma":[0.000024377892,0.000051994215,0.0007546933,0.000008427378,0.000004459764,0.00012622979,0.00021407082,0.012594475,0.002322081,0.9790211,0.004866295,0.0000117806685],"about_ca_topic_score_codex":0.00037741225,"about_ca_topic_score_gemma":0.00040293747,"teacher_disagreement_score":0.0078002852,"about_ca_system_score_codex":0.0005199983,"about_ca_system_score_gemma":0.000313839,"threshold_uncertainty_score":0.026094556},"labels":[],"label_agreement":null},{"id":"W3017382734","doi":"10.1090/proc/15122","title":"Isometries of combinatorial Banach spaces","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"MacEwan University","funders":"Natural Sciences and Engineering Research Council of Canada; MacEwan University","keywords":"Basis (linear algebra); Isometry (Riemannian geometry); Mathematics; Banach space; Pure mathematics; Permutation (music); Unit (ring theory); Combinatorics; Geometry; Physics","score_opus":0.024745131464133263,"score_gpt":0.29001908043544755,"score_spread":0.2652739489713143,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3017382734","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.53255403,0.0007243406,0.3276793,0.0010048234,0.00063239,0.00009741507,0.00014641121,0.0002556193,0.13690576],"genre_scores_gemma":[0.9355736,0.00056690304,0.040746078,0.0002634748,0.00039434966,0.00013270511,0.0001813032,0.00013522535,0.022006314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986286,0.0003288374,0.00009469126,0.00033206856,0.00045509796,0.00016074655],"domain_scores_gemma":[0.99889624,0.0002814606,0.00020356967,0.00025221304,0.00022354597,0.00014297994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008728927,0.00063167256,0.00038550055,0.0012893553,0.0007822866,0.0017700276,0.0006366837,0.00056016323,0.0052245697],"category_scores_gemma":[0.003143383,0.0002854077,0.0006944229,0.0005401593,0.0025864842,0.003379303,0.0022155135,0.0021791428,0.0008444863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001478143,0.000020897824,0.000160832,0.000016814582,0.0000043107916,0.00009817408,0.00019491356,0.00047330765,0.0027290757,0.9899148,0.00033484783,0.0060373466],"study_design_scores_gemma":[0.000015817648,0.00006006826,0.00041959735,0.000013057497,0.000006702074,0.00037372918,0.00021691549,0.0065350593,0.0035766663,0.9809521,0.00781581,0.000014466267],"about_ca_topic_score_codex":0.00024178058,"about_ca_topic_score_gemma":0.00019284232,"teacher_disagreement_score":0.0052245697,"about_ca_system_score_codex":0.0005896737,"about_ca_system_score_gemma":0.00035575285,"threshold_uncertainty_score":0.01747787},"labels":[],"label_agreement":null},{"id":"W3019440012","doi":"10.1090/proc/15139","title":"Amenability and functoriality of right-LCM semigroup C*-algebras","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Semigroup; Orthogonality; Factorization; Pure mathematics; Graph; Bicyclic semigroup; Discrete mathematics; Algorithm; Geometry","score_opus":0.03429411453937818,"score_gpt":0.31245951333132405,"score_spread":0.27816539879194585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3019440012","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6616191,0.0013507631,0.27521196,0.0006479784,0.00018190473,0.0000784313,0.00038886192,0.0005088037,0.0600122],"genre_scores_gemma":[0.9744951,0.00020035479,0.018120611,0.0000976428,0.00013422802,0.0000539896,0.00018135675,0.000035719197,0.0066811596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989247,0.00017589345,0.00006814893,0.00029484858,0.00035382574,0.00018270676],"domain_scores_gemma":[0.997733,0.00052176026,0.00029648948,0.00036683207,0.0005408553,0.0005411102],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012481624,0.00030377516,0.00033745897,0.0014975136,0.0016160867,0.0019784376,0.00048842037,0.00033803374,0.0045836787],"category_scores_gemma":[0.0017545277,0.00025841827,0.0008601205,0.0005958558,0.0027148537,0.0029741842,0.0026316878,0.0011216993,0.00047596337],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048998183,0.000024934845,0.0009664237,0.000050144266,0.0000146242155,0.00024059768,0.0008502226,0.0006601669,0.007842334,0.981532,0.0002441438,0.007525497],"study_design_scores_gemma":[0.000022575829,0.000096935386,0.0036195621,0.000031602372,0.000033963748,0.0008059362,0.00044770175,0.008204187,0.008781678,0.96206,0.015849255,0.000046598234],"about_ca_topic_score_codex":0.0013366898,"about_ca_topic_score_gemma":0.0010395715,"teacher_disagreement_score":0.0045836787,"about_ca_system_score_codex":0.0009278149,"about_ca_system_score_gemma":0.00061536126,"threshold_uncertainty_score":0.0153339505},"labels":[],"label_agreement":null},{"id":"W3024986605","doi":"10.1090/proc/15169","title":"Equivalence of higher order linear Riemann-Liouville fractional differential and integral equations","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Fractional calculus; Equivalence (formal languages); Order (exchange); Mathematical analysis; Differential equation; Operator (biology); Linear differential equation; Volterra integral equation; Differential operator; Integral equation; Pure mathematics","score_opus":0.05483616629740455,"score_gpt":0.3233200016073095,"score_spread":0.26848383530990494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024986605","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32984728,0.0024222655,0.461143,0.0031161127,0.0010463133,0.00011206152,0.0002516095,0.00028683754,0.20177452],"genre_scores_gemma":[0.9320099,0.0008825374,0.0348544,0.0005967362,0.000565413,0.000079399586,0.00019162374,0.00007156946,0.030748468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989992,0.00022162724,0.000054194177,0.00018066725,0.00038542604,0.00015898477],"domain_scores_gemma":[0.9990426,0.00038305557,0.00012170403,0.00009764097,0.0002452218,0.00010980488],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011583561,0.0004597424,0.0007052675,0.0011439458,0.0006955254,0.0024797383,0.0009155239,0.001371123,0.005354276],"category_scores_gemma":[0.004081507,0.00017192938,0.0010447367,0.0005819849,0.0017479347,0.0027731762,0.0019273437,0.0022281543,0.0004529011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028332879,0.000039689272,0.00026081654,0.000030994044,0.000007626498,0.0001554866,0.00025924406,0.0067585143,0.0039867857,0.9791709,0.0005309971,0.008770591],"study_design_scores_gemma":[0.000021991364,0.000044629047,0.0009918705,0.000019006657,0.00001033435,0.00032140745,0.00011639968,0.24759774,0.0026155547,0.7428043,0.00542867,0.000028018047],"about_ca_topic_score_codex":0.0027707587,"about_ca_topic_score_gemma":0.0009907967,"teacher_disagreement_score":0.005354276,"about_ca_system_score_codex":0.0016423576,"about_ca_system_score_gemma":0.0008480072,"threshold_uncertainty_score":0.017911851},"labels":[],"label_agreement":null},{"id":"W3026403835","doi":"10.1090/proc/15171","title":"On the $p$th variation of a class of fractal functions","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Actua; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Variation (astronomy); Class (philosophy); Fractal; Mathematics; Mathematical analysis; Physics; Computer science; Artificial intelligence; Astrophysics","score_opus":0.027607969897436396,"score_gpt":0.266061082904635,"score_spread":0.2384531130071986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3026403835","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57158136,0.0018858387,0.40652683,0.0007807993,0.00010823601,0.000034022523,0.00011390364,0.00023680384,0.01873221],"genre_scores_gemma":[0.9766802,0.000690108,0.019302415,0.00008938244,0.00017113582,0.000036384936,0.00007658464,0.00008933539,0.0028643557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995931,0.000111686335,0.0000149299185,0.00008311975,0.00013032077,0.00006686418],"domain_scores_gemma":[0.9969891,0.0017072825,0.00040103658,0.00023479042,0.00036154562,0.0003063471],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016009163,0.00059311994,0.0004854447,0.0022560959,0.00089443586,0.0013537981,0.000726635,0.00069732504,0.0010933871],"category_scores_gemma":[0.007064909,0.00031381537,0.0006131682,0.0009956838,0.003528324,0.0017318717,0.0010617024,0.0015516113,0.00020082944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005939784,0.00001860901,0.0018325895,0.000045354016,0.000021675822,0.00030044076,0.00028962572,0.041748706,0.010539044,0.9350853,0.00050206296,0.009557189],"study_design_scores_gemma":[0.000014043118,0.000094171366,0.004075929,0.00004806708,0.000020162875,0.00069827854,0.00009828554,0.4299277,0.003982084,0.55803853,0.0029281876,0.00007443916],"about_ca_topic_score_codex":0.00089038874,"about_ca_topic_score_gemma":0.00038384285,"teacher_disagreement_score":0.0022560959,"about_ca_system_score_codex":0.0012057774,"about_ca_system_score_gemma":0.00044683772,"threshold_uncertainty_score":0.008748531},"labels":[],"label_agreement":null},{"id":"W3030426705","doi":"10.1090/proc/15608","title":"A tight structure theorem for sumsets","year":2021,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Combinatorics; Set (abstract data type); Mathematics; Structured program theorem; Discrete mathematics; Computer science","score_opus":0.01710756410346344,"score_gpt":0.27932841296619376,"score_spread":0.26222084886273034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3030426705","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035215452,0.002565012,0.6694011,0.0045031765,0.0013453378,0.00018462284,0.0034342557,0.0037789918,0.2795721],"genre_scores_gemma":[0.5749499,0.0043357643,0.1904488,0.004817553,0.0025611059,0.00085916446,0.007632001,0.0046878243,0.20970781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99529994,0.0007721908,0.00044437504,0.0012727061,0.0015398952,0.0006708372],"domain_scores_gemma":[0.9945452,0.0026484665,0.00028427245,0.0010873069,0.001060763,0.0003739721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029332794,0.0017681279,0.0018081676,0.0046271263,0.005927938,0.009166629,0.0033461414,0.0021120321,0.0501324],"category_scores_gemma":[0.011175269,0.001974056,0.003421616,0.0066858646,0.005449265,0.027370002,0.010584338,0.0056934603,0.013314902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030226473,0.000014940888,0.00016657046,0.00008801427,0.000018148523,0.0000726924,0.00022017161,0.00042975438,0.00023281807,0.9822825,0.0057480927,0.010696005],"study_design_scores_gemma":[0.000013025214,0.000013636698,0.000090176356,0.000044893146,0.000028685045,0.00012424652,0.0001263181,0.0012143626,0.0004673334,0.97742903,0.020434078,0.000014178109],"about_ca_topic_score_codex":0.0033433565,"about_ca_topic_score_gemma":0.0034018366,"teacher_disagreement_score":0.0501324,"about_ca_system_score_codex":0.0031408167,"about_ca_system_score_gemma":0.0019725938,"threshold_uncertainty_score":0.16770959},"labels":[],"label_agreement":null},{"id":"W3036642622","doi":"10.1090/proc/15225","title":"An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Biorthogonal system; Pure mathematics; Type (biology); Algebra over a field; Rational function; Orthogonal polynomials; Computer science","score_opus":0.05539063302190737,"score_gpt":0.29098108229905345,"score_spread":0.23559044927714606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3036642622","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14138632,0.0006525155,0.52990437,0.0008391127,0.0006013708,0.000075187985,0.00050198205,0.0007523181,0.32528687],"genre_scores_gemma":[0.868492,0.00065173674,0.07596596,0.00034202586,0.0003925718,0.00007452048,0.00026505333,0.0006055125,0.053210583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997042,0.000045321274,0.000014492443,0.000051046103,0.00012977117,0.000055154796],"domain_scores_gemma":[0.99971634,0.00006602743,0.000035017983,0.000056444493,0.00009187481,0.000034278695],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000368969,0.00056873634,0.0002749814,0.001401505,0.00059911486,0.0018877777,0.00060611934,0.00044903925,0.00994434],"category_scores_gemma":[0.0009781161,0.00020670904,0.00041101172,0.00071404263,0.0015632847,0.002056841,0.0007526073,0.0011848046,0.002208789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014352737,0.0000060879115,0.000041645602,0.000012265007,0.0000013166183,0.000047735353,0.00006531068,0.00061165733,0.001917554,0.99051756,0.0008339234,0.0059305495],"study_design_scores_gemma":[0.0000143010475,0.0000364195,0.00054509373,0.000018326222,0.000007644426,0.0005150322,0.00019981273,0.03227431,0.005501869,0.93324584,0.027605725,0.000035738794],"about_ca_topic_score_codex":0.00089692394,"about_ca_topic_score_gemma":0.0006880829,"teacher_disagreement_score":0.00994434,"about_ca_system_score_codex":0.0008143461,"about_ca_system_score_gemma":0.00033003598,"threshold_uncertainty_score":0.03326714},"labels":[],"label_agreement":null},{"id":"W3043425194","doi":"10.1090/proc/16145","title":"Matroid Chern-Schwartz-MacPherson cycles and Tutte activities","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.018328504408453163,"score_gpt":0.27043606367589396,"score_spread":0.2521075592674408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043425194","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5007109,0.0011424504,0.25499517,0.0019457585,0.0005024439,0.00015253853,0.0006292953,0.0010359077,0.23888554],"genre_scores_gemma":[0.9379792,0.0003515971,0.020148812,0.0002955576,0.00020068641,0.00008305882,0.00035440692,0.00029524518,0.040291343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890757,0.00020564756,0.000061150095,0.0002147759,0.0002965946,0.0003142064],"domain_scores_gemma":[0.99829787,0.00047004485,0.00015177416,0.00017186016,0.00054176047,0.00036684904],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009897971,0.000769554,0.0005646231,0.0027011211,0.0017255881,0.0031245262,0.00081554113,0.00074786256,0.012565032],"category_scores_gemma":[0.0039918367,0.0003875149,0.0011087317,0.0017694101,0.0025234313,0.0040928503,0.002709255,0.0017129944,0.0017621659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018568662,0.000008633912,0.00023801887,0.000011226902,0.0000033178053,0.00004251057,0.0001701239,0.0003901788,0.00024259421,0.9931932,0.0009624769,0.0047192303],"study_design_scores_gemma":[0.000016003729,0.000040761937,0.0005021089,0.000020114392,0.000013545554,0.0001416886,0.00020226915,0.008342258,0.0016581973,0.9700688,0.018965919,0.000028479168],"about_ca_topic_score_codex":0.004061526,"about_ca_topic_score_gemma":0.0032170683,"teacher_disagreement_score":0.012565032,"about_ca_system_score_codex":0.00304211,"about_ca_system_score_gemma":0.000828317,"threshold_uncertainty_score":0.04203427},"labels":[],"label_agreement":null},{"id":"W3045612354","doi":"10.1090/proc/15126","title":"Regularity and ℎ-polynomials of toric ideals of graphs","year":2020,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Combinatorics; Algebra over a field; Pure mathematics","score_opus":0.0313365141750896,"score_gpt":0.2863835986839019,"score_spread":0.2550470845088123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045612354","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74338996,0.0007304983,0.09561656,0.002498491,0.00029988994,0.00008409134,0.0010095066,0.0006288176,0.1557422],"genre_scores_gemma":[0.9693573,0.00034185406,0.0078099235,0.0001899084,0.00023409534,0.00003824907,0.0004895542,0.00012491408,0.021414123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908555,0.00015903414,0.000039670438,0.00023261485,0.00023116128,0.00025195332],"domain_scores_gemma":[0.99805486,0.0007593401,0.00030183312,0.00019546888,0.00034221943,0.00034635118],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007137447,0.00054301997,0.00070553966,0.0017479872,0.0016987094,0.0024467143,0.0008328811,0.00046500997,0.008117096],"category_scores_gemma":[0.002974249,0.00047962996,0.0011007293,0.0010884544,0.0038653184,0.003163563,0.0019030137,0.002005676,0.0014999569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000115583105,0.00002378396,0.0007208343,0.000058830396,0.000014215222,0.0001067898,0.0004532807,0.0017352271,0.0009840077,0.9885085,0.001816775,0.005462129],"study_design_scores_gemma":[0.000029798559,0.000045236495,0.0012412457,0.000017804225,0.000018215493,0.0001540693,0.00027501205,0.0066127707,0.0015414491,0.98512626,0.0049111582,0.000026997062],"about_ca_topic_score_codex":0.0029490301,"about_ca_topic_score_gemma":0.0030283488,"teacher_disagreement_score":0.008117096,"about_ca_system_score_codex":0.0018591884,"about_ca_system_score_gemma":0.00073244126,"threshold_uncertainty_score":0.027154446},"labels":[],"label_agreement":null},{"id":"W3045740077","doi":"10.1090/proc/15194","title":"The length of a shortest closed geodesic on a surface of finite area","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Geodesic; Combinatorics; Mathematics; Surface (topology); Riemannian manifold; Manifold (fluid mechanics); Geometry; Mathematical analysis","score_opus":0.040127740969256115,"score_gpt":0.2690137615548176,"score_spread":0.22888602058556148,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3045740077","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33888182,0.0089449305,0.5967663,0.0034908562,0.000577589,0.00005313476,0.000630516,0.0006346972,0.050020207],"genre_scores_gemma":[0.87875605,0.0046329843,0.10018199,0.00052387186,0.0010676797,0.0002150749,0.0009306072,0.00071200373,0.01297981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986972,0.00025685,0.0000646167,0.00039014936,0.0004103085,0.00018091174],"domain_scores_gemma":[0.9895158,0.006422324,0.0011653957,0.00087959954,0.0009773357,0.0010395556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001518801,0.0017729771,0.0012345838,0.0030509995,0.0016345326,0.002031218,0.0023012212,0.001962894,0.004966348],"category_scores_gemma":[0.012954933,0.00071955257,0.0011021203,0.0011570151,0.0039786478,0.0085592605,0.003903685,0.0043601603,0.0011737115],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019038761,0.000067759116,0.0033508572,0.00056939933,0.000082215214,0.0003622033,0.00057431636,0.060457528,0.021221608,0.88061434,0.0033605122,0.029148996],"study_design_scores_gemma":[0.000014142999,0.00016814723,0.0031687308,0.00015338522,0.0000396494,0.00038290737,0.00019227425,0.23257641,0.0071738167,0.7453709,0.010644029,0.000115619594],"about_ca_topic_score_codex":0.0012015823,"about_ca_topic_score_gemma":0.0012869212,"teacher_disagreement_score":0.004966348,"about_ca_system_score_codex":0.0015712604,"about_ca_system_score_gemma":0.0006278041,"threshold_uncertainty_score":0.01661408},"labels":[],"label_agreement":null},{"id":"W3058774446","doi":"10.1090/proc/15233","title":"The smallest prime in a conjugacy class and the first sign change for automorphic 𝐿-functions","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory 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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea","keywords":"Conjugacy class; Sign (mathematics); Prime (order theory); Mathematics; Class (philosophy); Pure mathematics; Combinatorics; Computer science; Mathematical analysis; Artificial intelligence","score_opus":0.06912993427589496,"score_gpt":0.31154403528589686,"score_spread":0.24241410101000188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3058774446","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32733887,0.0012784941,0.2558399,0.00511294,0.0030813178,0.00012621106,0.00051556394,0.0017372179,0.40496945],"genre_scores_gemma":[0.8739071,0.00062998664,0.030532166,0.001042009,0.0008695503,0.00011051655,0.00030208114,0.001060404,0.091546156],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987948,0.00016936247,0.000060769515,0.00034008326,0.00033020205,0.00030481492],"domain_scores_gemma":[0.99888235,0.0003754277,0.00010669053,0.00020539462,0.00021707323,0.00021310258],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011125968,0.0006619251,0.00078768766,0.0017017566,0.002904758,0.0036701178,0.0009992422,0.0016051,0.015679412],"category_scores_gemma":[0.0039997175,0.00042465702,0.0012908156,0.00087315345,0.0044780117,0.006316669,0.002620106,0.0036285333,0.0037172663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049833005,0.000017022856,0.00017004515,0.000025405645,0.0000035310227,0.00014552461,0.00018152554,0.00019373334,0.0010419692,0.9850596,0.0019752725,0.011136524],"study_design_scores_gemma":[0.000017667977,0.000028245035,0.00026313975,0.00001880793,0.0000069844054,0.00026790527,0.000080431164,0.0013723173,0.0026840805,0.98407906,0.011154931,0.000026289606],"about_ca_topic_score_codex":0.0011336295,"about_ca_topic_score_gemma":0.0008702728,"teacher_disagreement_score":0.015679412,"about_ca_system_score_codex":0.0021199419,"about_ca_system_score_gemma":0.00091347756,"threshold_uncertainty_score":0.052452862},"labels":[],"label_agreement":null},{"id":"W3072978300","doi":"10.1090/proc/15259","title":"On Lusztig’s asymptotic Hecke algebra for SL₂","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Center for Advanced Study, University of Illinois at Urbana-Champaign; Skolkovo Institute of Science and Technology","keywords":"Algorithm; Annotation; Type (biology); Computer science; Artificial intelligence; Mathematics; Biology","score_opus":0.03128348217618344,"score_gpt":0.29764689797159005,"score_spread":0.2663634157954066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3072978300","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34151176,0.0029035076,0.10413177,0.005265375,0.0008775538,0.00008448395,0.0009215416,0.0010341506,0.5432699],"genre_scores_gemma":[0.87526006,0.0014759352,0.01529475,0.0009080572,0.00067279406,0.00006957693,0.00075425603,0.00023033233,0.10533418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994204,0.000108885295,0.000021434938,0.00010312612,0.00019321863,0.00015295511],"domain_scores_gemma":[0.9996468,0.000074666284,0.000049161572,0.000043851953,0.00011512887,0.000070343856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006327827,0.0006330554,0.0005981238,0.001369332,0.0015160633,0.0018487982,0.00074365607,0.0008077841,0.013108583],"category_scores_gemma":[0.0011869746,0.00025240105,0.0008149488,0.001202835,0.002205751,0.0037592817,0.0016654142,0.0018715522,0.0033375588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021185735,0.000012711083,0.000105348896,0.00002796069,0.0000041399207,0.000060654136,0.00027415477,0.0004905553,0.00056400435,0.99178165,0.0019079414,0.004749674],"study_design_scores_gemma":[0.000010572815,0.000019823801,0.00032025864,0.000011767525,0.0000044808353,0.000060340208,0.00011840817,0.0022021113,0.0004993568,0.9872564,0.009483718,0.000012812716],"about_ca_topic_score_codex":0.0031161443,"about_ca_topic_score_gemma":0.0025945653,"teacher_disagreement_score":0.013108583,"about_ca_system_score_codex":0.002274969,"about_ca_system_score_gemma":0.0008488941,"threshold_uncertainty_score":0.043852568},"labels":[],"label_agreement":null},{"id":"W3090632993","doi":"10.1090/proc/15618","title":"On the paths of steepest descent for the norm of a one variable complex polynomial","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Complex plane; Multiplicity (mathematics); Logarithmic derivative; Norm (philosophy); Polynomial; Combinatorics; Gradient descent; Variable (mathematics); Mathematical analysis","score_opus":0.09047724406838646,"score_gpt":0.2931209897631569,"score_spread":0.20264374569477045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3090632993","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.123432055,0.0024989,0.76881754,0.0029771365,0.0005934338,0.0001233474,0.0005237187,0.00083987886,0.100194074],"genre_scores_gemma":[0.69994146,0.0030040322,0.20580217,0.0012970347,0.00038860584,0.00042254393,0.00095919723,0.0022724592,0.08591255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990421,0.0002814276,0.000029764717,0.00014690834,0.00027651727,0.00022327265],"domain_scores_gemma":[0.9967514,0.0016155958,0.00028367463,0.000199899,0.0007423056,0.0004072188],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018904851,0.0012971775,0.00077613577,0.0022150625,0.002258923,0.0029331704,0.0013917808,0.0016943985,0.012409185],"category_scores_gemma":[0.012757602,0.0005113856,0.0013816002,0.0012098927,0.0031401706,0.004593602,0.0022767414,0.0033843238,0.002420421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000048380873,0.000016290478,0.0004182438,0.000056885878,0.000012520885,0.00011132647,0.00018662961,0.010180243,0.00065097754,0.9775034,0.0030938715,0.0077211177],"study_design_scores_gemma":[0.000017570335,0.00003500412,0.0003282197,0.000044945664,0.000008655357,0.000074553485,0.00007585888,0.084011085,0.0004826666,0.9085166,0.0063777743,0.000027068054],"about_ca_topic_score_codex":0.009073605,"about_ca_topic_score_gemma":0.0072126277,"teacher_disagreement_score":0.012409185,"about_ca_system_score_codex":0.0030262116,"about_ca_system_score_gemma":0.0024183793,"threshold_uncertainty_score":0.041512847},"labels":[],"label_agreement":null},{"id":"W3094031762","doi":"10.1090/proc/14937","title":"Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Ministry of Science and Higher Education of the Russian Federation","keywords":"Mathematical analysis; Instability; Integrable system; Quadratic equation; Square-integrable function; Mathematics; Spectrum (functional analysis); Operator (biology); Truncation (statistics); Plane (geometry); Nonlinear system; Continuous spectrum; Physics; Space (punctuation); Plane wave; Differential operator; Quantum mechanics; Geometry","score_opus":0.023141509334778047,"score_gpt":0.25955669396128983,"score_spread":0.2364151846265118,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3094031762","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9283431,0.00015092481,0.06288289,0.00024690336,0.000020818183,0.000017913786,0.00005170674,0.000054716213,0.008231003],"genre_scores_gemma":[0.992853,0.00010507498,0.004239767,0.000023066616,0.000014619544,0.000024730563,0.000039496044,0.000014231789,0.0026860128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998827,0.000026993055,0.0000067677856,0.000013966149,0.000045017157,0.000024528237],"domain_scores_gemma":[0.99977547,0.000049034305,0.00006157111,0.000018876575,0.000050140665,0.000044850443],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018222095,0.00034586978,0.00034059898,0.00052813947,0.00035648534,0.00077460374,0.00045968674,0.00034969338,0.0014365216],"category_scores_gemma":[0.0008112866,0.00014753119,0.00030651063,0.00023552062,0.0009285667,0.0006898393,0.0006888296,0.0005897178,0.0001506504],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025575137,0.00006417358,0.002864729,0.00011132756,0.000052461382,0.0007279879,0.0007114382,0.0960913,0.08854597,0.7996006,0.00076350925,0.010210898],"study_design_scores_gemma":[0.000049392052,0.00006832269,0.00182018,0.000014593094,0.000014160713,0.0002704459,0.00019363071,0.80072206,0.006854521,0.18925905,0.00069851795,0.00003515559],"about_ca_topic_score_codex":0.0018397868,"about_ca_topic_score_gemma":0.00070431264,"teacher_disagreement_score":0.0018397868,"about_ca_system_score_codex":0.0005202561,"about_ca_system_score_gemma":0.0004927003,"threshold_uncertainty_score":0.004805684},"labels":[],"label_agreement":null},{"id":"W3095500496","doi":"10.1090/proc/15505","title":"A note on decreasing rearrangement and mean oscillation on measure spaces","year":2021,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Harmonic Analysis 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":"Université Laval; Concordia University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Measure (data warehouse); Oscillation (cell signaling); Mathematics; Space (punctuation); Metric (unit); Upper and lower bounds; Metric space; Constant (computer programming); Mathematical analysis; Combinatorics; Computer science; Chemistry","score_opus":0.046180674464010904,"score_gpt":0.3390078320845921,"score_spread":0.2928271576205812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3095500496","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.053005546,0.006859329,0.8515421,0.0048983376,0.0008587746,0.00006893623,0.00053398195,0.0009346207,0.081298344],"genre_scores_gemma":[0.75417435,0.007984587,0.17486423,0.004094138,0.0034521415,0.0007702784,0.0014367021,0.0031952527,0.050028346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99687636,0.0010572508,0.00015066902,0.00072713353,0.0007685376,0.0004200401],"domain_scores_gemma":[0.9763091,0.016958209,0.0013293987,0.0018614391,0.00230839,0.0012334635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006415063,0.0023960914,0.001691209,0.0037224195,0.0016254073,0.0034352248,0.003198426,0.0018738813,0.015130841],"category_scores_gemma":[0.039959516,0.00085830136,0.003507453,0.0030855574,0.004922681,0.008151162,0.005562152,0.0077205105,0.0030041602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007173114,0.000028078188,0.001053579,0.00018005868,0.00004134416,0.0001879642,0.0004596026,0.008088046,0.0021469463,0.96399075,0.0053865337,0.018365333],"study_design_scores_gemma":[0.000011086671,0.00008123053,0.0013852706,0.000091516005,0.000048594375,0.00017298797,0.00016815618,0.05929852,0.0016513219,0.9281201,0.008921949,0.00004928465],"about_ca_topic_score_codex":0.0037794886,"about_ca_topic_score_gemma":0.002514546,"teacher_disagreement_score":0.015130841,"about_ca_system_score_codex":0.0030562223,"about_ca_system_score_gemma":0.0011074641,"threshold_uncertainty_score":0.050617754},"labels":[],"label_agreement":null},{"id":"W3098295875","doi":"10.1090/proc/13404","title":"A characterization of 𝜇-equicontinuity for topological dynamical systems","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Science and Technology of China; Consejo Nacional de Ciencia y Tecnología; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Equicontinuity; Characterization (materials science); Dynamical systems theory; Mathematics; Topology (electrical circuits); Pure mathematics; Mathematical analysis; Physics; Combinatorics; Optics","score_opus":0.02411567346149953,"score_gpt":0.28625291649751866,"score_spread":0.26213724303601915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098295875","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41414392,0.002584146,0.48982444,0.0030916769,0.00012257708,0.00008049372,0.000446178,0.00035308645,0.08935354],"genre_scores_gemma":[0.97244895,0.00058543234,0.019910675,0.00027092444,0.00014663122,0.00006980153,0.00025491367,0.00007389834,0.0062387898],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975768,0.0005512108,0.0001736471,0.000719306,0.0006703077,0.00030880547],"domain_scores_gemma":[0.9918921,0.0042840824,0.0010035788,0.00048692434,0.0014331675,0.0009001549],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028210697,0.00084160233,0.0009798337,0.0030714513,0.0019296473,0.003956824,0.0013068732,0.001165636,0.0063849105],"category_scores_gemma":[0.011284552,0.00056573225,0.0012504988,0.001879996,0.005287166,0.0058070836,0.003404563,0.002952631,0.00054178044],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016732103,0.000014787083,0.00086549995,0.000040406074,0.000014421251,0.00013922006,0.00061653496,0.0020296439,0.00065708463,0.99137336,0.00031545642,0.0039168475],"study_design_scores_gemma":[0.000007105469,0.000040676132,0.0012344783,0.000038717502,0.00001668325,0.0003304637,0.00031800757,0.045182664,0.00087353605,0.9483724,0.0035597505,0.000025543843],"about_ca_topic_score_codex":0.0021223216,"about_ca_topic_score_gemma":0.0010155124,"teacher_disagreement_score":0.0063849105,"about_ca_system_score_codex":0.0027012804,"about_ca_system_score_gemma":0.000841914,"threshold_uncertainty_score":0.021359622},"labels":[],"label_agreement":null},{"id":"W3098436725","doi":"10.1090/proc/15332","title":"On the harmonic volume of Fermat curves","year":2020,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Mathematics; Annotation; Computer science; Artificial intelligence","score_opus":0.0331782247609298,"score_gpt":0.2680546317669777,"score_spread":0.2348764070060479,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3098436725","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4511816,0.0038982285,0.13557278,0.004272251,0.0008567904,0.000057375273,0.0004081638,0.00044420417,0.4033086],"genre_scores_gemma":[0.9603724,0.0010656067,0.00914588,0.0004942121,0.0008348049,0.00004170734,0.00026142443,0.00020406721,0.02757997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999498,0.00009101312,0.000012658204,0.000104912026,0.00017854938,0.00011478374],"domain_scores_gemma":[0.99914145,0.00040238773,0.00009608656,0.00007250858,0.000144079,0.0001433351],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006387441,0.0008155315,0.00069381966,0.00272593,0.0016193088,0.0018348256,0.0007237035,0.0006999536,0.010625107],"category_scores_gemma":[0.0032305906,0.00028206097,0.00066198315,0.0012679949,0.0037481578,0.003282671,0.0028267845,0.0022294756,0.0015782439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015617981,0.0000056091862,0.00019831718,0.000023440158,0.0000049573264,0.000057486723,0.00015666964,0.0008811302,0.0005239487,0.99259233,0.00092968234,0.0046108365],"study_design_scores_gemma":[0.00000882922,0.00003131147,0.00052837306,0.000021448634,0.000007771292,0.00011627245,0.000094372284,0.004943017,0.0007560875,0.98390305,0.009573373,0.000016172178],"about_ca_topic_score_codex":0.0015464004,"about_ca_topic_score_gemma":0.0007999182,"teacher_disagreement_score":0.010625107,"about_ca_system_score_codex":0.0017165436,"about_ca_system_score_gemma":0.00046892266,"threshold_uncertainty_score":0.035544455},"labels":[],"label_agreement":null},{"id":"W3111943828","doi":"10.1090/proc/15536","title":"Borel’s conjecture and meager-additive sets","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","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":"Uncountable set; Conjecture; Mathematics; Null set; Measure (data warehouse); Zero (linguistics); Borel measure; Real line; Borel set; Combinatorics; Discrete mathematics; Pure mathematics; Set (abstract data type); Probability measure; Computer science; Philosophy; Countable set","score_opus":0.0195930750930549,"score_gpt":0.30565504098685975,"score_spread":0.28606196589380484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111943828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5168636,0.005674603,0.3053319,0.024060937,0.0008138716,0.000039010065,0.0004397049,0.0005940034,0.14618248],"genre_scores_gemma":[0.9717056,0.00081856124,0.01943709,0.0010207571,0.0006089915,0.00004103593,0.00024825247,0.00004229049,0.006077441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997693,0.00055794616,0.00010273408,0.0006278619,0.00077379355,0.0002445843],"domain_scores_gemma":[0.9934736,0.003979002,0.00070967677,0.00090103823,0.00057045993,0.0003662689],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028767334,0.00055437285,0.00087428314,0.0015352784,0.0011765166,0.0026898726,0.0016626882,0.0015548986,0.0042577777],"category_scores_gemma":[0.0078915665,0.00036193684,0.00082848204,0.0016441756,0.007436294,0.0078073884,0.003386058,0.0031095285,0.00048008232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014084505,0.000010247614,0.00038187456,0.000028262613,0.000010398186,0.000044529956,0.00012639585,0.0005141331,0.0003858873,0.99584657,0.00077077094,0.0018668649],"study_design_scores_gemma":[0.000007983514,0.000013445296,0.00046995582,0.000013593707,0.000008789397,0.00007885639,0.00010381999,0.0025150762,0.000499309,0.9929436,0.0033376606,0.000007858863],"about_ca_topic_score_codex":0.0006457345,"about_ca_topic_score_gemma":0.00045764213,"teacher_disagreement_score":0.0042577777,"about_ca_system_score_codex":0.0012598988,"about_ca_system_score_gemma":0.00046385807,"threshold_uncertainty_score":0.015213788},"labels":[],"label_agreement":null},{"id":"W3123646226","doi":"10.1090/proc/15770","title":"Self-similar curve shortening flow in hyperbolic 2-space","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Flow (mathematics); Mathematics; Curvature; Space (punctuation); Constant (computer programming); Hyperbolic space; Plane (geometry); Geometry; Mathematical analysis; Hyperbolic geometry; Computer science; Differential geometry","score_opus":0.017775079517492482,"score_gpt":0.2664691895331057,"score_spread":0.24869411001561323,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3123646226","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96553636,0.00017778363,0.026288467,0.00019010442,0.000036680976,0.00004410516,0.000085195185,0.00007397652,0.007567324],"genre_scores_gemma":[0.9818985,0.00018142545,0.009596496,0.000064594846,0.00006154756,0.000032405147,0.00024410782,0.0000220804,0.007898866],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998661,0.000021167756,0.0000105006875,0.000031167776,0.000038779384,0.00003228387],"domain_scores_gemma":[0.99965394,0.000036485606,0.000081995524,0.000029411718,0.00007379354,0.00012439278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002711047,0.00040029935,0.0002842268,0.0019250389,0.0007066113,0.0013192589,0.000450477,0.000857169,0.0026103647],"category_scores_gemma":[0.0007994225,0.00013269555,0.00031313964,0.0006638558,0.0011676457,0.001648512,0.000839894,0.00049282645,0.00025402824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010790906,0.00009042911,0.006597283,0.00007931108,0.000019914773,0.00042247502,0.0009508453,0.010174411,0.010353556,0.95072263,0.0019982883,0.018482901],"study_design_scores_gemma":[0.00008132372,0.00020555496,0.007980187,0.00005613009,0.00001764301,0.0009864615,0.0010953808,0.14691155,0.0060728653,0.82888174,0.0076403855,0.000070904964],"about_ca_topic_score_codex":0.0006254808,"about_ca_topic_score_gemma":0.00041506585,"teacher_disagreement_score":0.0026103647,"about_ca_system_score_codex":0.00056947133,"about_ca_system_score_gemma":0.00029759193,"threshold_uncertainty_score":0.008732498},"labels":[],"label_agreement":null},{"id":"W3124993320","doi":"10.1090/proc/15465","title":"A generalization of Winternitz’s theorem and its discrete version","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Centroid; Convex body; Generalization; Line (geometry); Regular polygon; Mathematics; Combinatorics; Plane (geometry); Mathematical analysis; Geometry; Convex hull","score_opus":0.024035295963829244,"score_gpt":0.2904514316363737,"score_spread":0.26641613567254446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3124993320","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09136041,0.0039652945,0.7317672,0.008013065,0.0011717515,0.00010477142,0.00097500754,0.00021743869,0.16242509],"genre_scores_gemma":[0.80099404,0.00369277,0.1456896,0.0027745264,0.0018485284,0.00026018915,0.000754742,0.00027299317,0.04371263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987349,0.00015673571,0.000051990424,0.0005012709,0.000379003,0.00017606982],"domain_scores_gemma":[0.99826235,0.00080255157,0.00019728925,0.00029713404,0.0002813249,0.00015935898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013909447,0.0005470539,0.00064802053,0.0013116404,0.0010591757,0.001365318,0.0015508167,0.0008335885,0.0091158245],"category_scores_gemma":[0.003747777,0.00023977533,0.0011508517,0.0012027783,0.0039140373,0.0039972565,0.0025360738,0.0026679516,0.0010422783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004950461,0.000019268668,0.00077850866,0.0001179558,0.000021317532,0.00012633961,0.0002003165,0.0042931666,0.0026383002,0.96032304,0.0046785795,0.02675371],"study_design_scores_gemma":[0.000028594064,0.00007619487,0.0020570634,0.000038237264,0.000016241833,0.0004935918,0.00013226214,0.021055939,0.0018177123,0.93288106,0.041381195,0.000022066846],"about_ca_topic_score_codex":0.0027916487,"about_ca_topic_score_gemma":0.0019443441,"teacher_disagreement_score":0.0091158245,"about_ca_system_score_codex":0.0017130531,"about_ca_system_score_gemma":0.0006066279,"threshold_uncertainty_score":0.030495465},"labels":[],"label_agreement":null},{"id":"W3129112770","doi":"10.1090/proc/15295","title":"Flocking in a two-agent Cucker-Smale model with large delay","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Distributed Control Multi-Agent Systems","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Canada Research Chairs","keywords":"Flocking (texture); Computer science; Control theory (sociology); Artificial intelligence; Physics","score_opus":0.012898287470910208,"score_gpt":0.25516729571086055,"score_spread":0.24226900823995035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3129112770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6930292,0.0009766731,0.2851695,0.0016912858,0.00021272135,0.00015987465,0.0003241325,0.00023812655,0.018198498],"genre_scores_gemma":[0.9908297,0.00015707916,0.0036626973,0.00008027732,0.000019932339,0.00007983512,0.000042670476,0.000014362437,0.00511334],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99963796,0.00009196009,0.000019629335,0.00008530839,0.000069255766,0.000095892676],"domain_scores_gemma":[0.99775946,0.0010031757,0.0005463428,0.00007506098,0.00027904846,0.0003369355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081285636,0.0008032431,0.0012416051,0.0007515047,0.0009831145,0.0013379616,0.0014270602,0.002635231,0.0025525498],"category_scores_gemma":[0.0038110276,0.00044050027,0.0005916097,0.0003787823,0.0018821071,0.0015868715,0.0015490833,0.0012668087,0.00024373173],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017847534,0.00006325132,0.0014146252,0.00015451456,0.0000631656,0.00057337875,0.00032906767,0.9208651,0.0068136114,0.06642128,0.0007764491,0.0023470158],"study_design_scores_gemma":[0.000026303991,0.000038490416,0.00016129123,0.000006555347,0.000008310985,0.000020828757,0.00003424898,0.99561405,0.00016756811,0.0037291541,0.00018075993,0.000012381844],"about_ca_topic_score_codex":0.011682666,"about_ca_topic_score_gemma":0.005362345,"teacher_disagreement_score":0.011682666,"about_ca_system_score_codex":0.0011930031,"about_ca_system_score_gemma":0.00079776923,"threshold_uncertainty_score":0.023229301},"labels":[],"label_agreement":null},{"id":"W3131113071","doi":"10.1090/proc/15529","title":"Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Concordia University; Center for Diagnosis and Research on Alzheimer's Disease","funders":"","keywords":"Schur's theorem; Creation and annihilation operators; Identity (music); Schur algebra; Factorization; Pure mathematics; Bilinear interpolation; Mathematics; Schur product theorem; Schur complement; Bilinear form; Schur decomposition; Algebra over a field; Physics; Quantum; Quantum mechanics; Orthogonal polynomials","score_opus":0.037912802344514634,"score_gpt":0.3042100025706954,"score_spread":0.26629720022618075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3131113071","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0665453,0.00082404533,0.81046706,0.0010957803,0.00066562084,0.000104144536,0.00018127033,0.0003349244,0.11978192],"genre_scores_gemma":[0.7745782,0.001532554,0.14268225,0.0010072767,0.0011361833,0.00023961681,0.00028725035,0.0008016041,0.07773506],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99883085,0.00039985395,0.00006055118,0.00014280788,0.0003427685,0.00022302839],"domain_scores_gemma":[0.99880075,0.00039204376,0.00010038425,0.00018140492,0.0003663963,0.0001590748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002274179,0.0014688659,0.000967875,0.0032650197,0.0016617791,0.0033237988,0.0013774649,0.0010683606,0.014784727],"category_scores_gemma":[0.0040610014,0.0005423752,0.0015723236,0.0019263908,0.0033294728,0.0060629304,0.0023239153,0.0025158788,0.004955631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012223018,0.000013331276,0.00004082994,0.000018206028,0.0000023006837,0.00005644013,0.00014978362,0.00066125306,0.0006077972,0.99426347,0.00060096994,0.0035734302],"study_design_scores_gemma":[0.000005406846,0.000015536107,0.000061038714,0.00001881724,0.0000046571668,0.0001116907,0.00007837004,0.019429915,0.00081043935,0.9752064,0.004242055,0.000015656167],"about_ca_topic_score_codex":0.001533571,"about_ca_topic_score_gemma":0.0014892138,"teacher_disagreement_score":0.014784727,"about_ca_system_score_codex":0.001671822,"about_ca_system_score_gemma":0.0009704364,"threshold_uncertainty_score":0.049459815},"labels":[],"label_agreement":null},{"id":"W3132214556","doi":"10.1090/proc/15506","title":"Uniqueness and stability of bistable waves for monotone semiflows","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bistability; Monotone polygon; Uniqueness; Mathematics; Stability (learning theory); Convergence (economics); Mathematical analysis; Applied mathematics; Computer science; Geometry; Physics","score_opus":0.024919696196556474,"score_gpt":0.29075373763307616,"score_spread":0.2658340414365197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3132214556","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47545716,0.000845468,0.5157286,0.0006429571,0.000097473596,0.00007164354,0.00012357593,0.00008092807,0.0069521507],"genre_scores_gemma":[0.971048,0.00040034816,0.026446853,0.0000840335,0.00006747318,0.000084054336,0.000097109034,0.00002322875,0.001748874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996383,0.00009082022,0.00002839177,0.00007153213,0.000118630065,0.00005226809],"domain_scores_gemma":[0.9975611,0.001278793,0.00040836816,0.00010649039,0.00045089817,0.00019435027],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014213171,0.00043858605,0.00043522814,0.0010680238,0.00062063907,0.0011623107,0.0006365145,0.00074777106,0.0007873136],"category_scores_gemma":[0.005452467,0.00020309829,0.0007500434,0.000259541,0.0020744237,0.0016952116,0.0014605054,0.00073796185,0.000102518396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017637359,0.000085921565,0.0070196125,0.00028265727,0.0000894553,0.00096427905,0.000660426,0.07293526,0.115217,0.77860117,0.0007903959,0.02317743],"study_design_scores_gemma":[0.000039567763,0.00014234787,0.002240366,0.00003953363,0.000017569044,0.0006220884,0.00024368313,0.6520463,0.012179947,0.33129007,0.0010982685,0.000040185616],"about_ca_topic_score_codex":0.0004804708,"about_ca_topic_score_gemma":0.00020624857,"teacher_disagreement_score":0.0014213171,"about_ca_system_score_codex":0.00046715344,"about_ca_system_score_gemma":0.0004802022,"threshold_uncertainty_score":0.0075167418},"labels":[],"label_agreement":null},{"id":"W3132561084","doi":"10.1090/proc/15480","title":"On fine Selmer groups and the greatest common divisor of signed and chromatic 𝑝-adic 𝐿-functions","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Divisor (algebraic geometry); Chromatic scale; Mathematics; Greatest common divisor; Arithmetic; Pure mathematics; Combinatorics","score_opus":0.011249795086438493,"score_gpt":0.23896214995327758,"score_spread":0.22771235486683908,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3132561084","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36500713,0.0038735506,0.18628795,0.0038615556,0.00095906225,0.00008386089,0.00048423358,0.00059179135,0.4388509],"genre_scores_gemma":[0.87417084,0.0021132268,0.024377722,0.00064446917,0.00081665337,0.000072995186,0.00044785716,0.00027855582,0.09707757],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932885,0.0001550994,0.000036100002,0.00014911695,0.00018378838,0.0001470025],"domain_scores_gemma":[0.99874026,0.00048534118,0.00013546164,0.00020694197,0.00022398352,0.00020804953],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001376351,0.0009494983,0.00066714216,0.0030246784,0.0018398365,0.0035288823,0.0006733439,0.0009131516,0.010594314],"category_scores_gemma":[0.0034132153,0.00037316792,0.0009745609,0.001976452,0.0040107085,0.0065988395,0.0025820644,0.002399746,0.0023637165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027409644,0.000008089111,0.00012674538,0.000017152499,0.0000040369664,0.000033935303,0.00022991479,0.00059416436,0.00033093808,0.98982984,0.0011641746,0.007633464],"study_design_scores_gemma":[0.00000703703,0.000020888046,0.000229538,0.000016202936,0.000004191229,0.000050827486,0.000104463645,0.0012110831,0.00040318034,0.9902124,0.0077269454,0.000013177004],"about_ca_topic_score_codex":0.0015133619,"about_ca_topic_score_gemma":0.0013573768,"teacher_disagreement_score":0.010594314,"about_ca_system_score_codex":0.0019478989,"about_ca_system_score_gemma":0.00064676796,"threshold_uncertainty_score":0.035441518},"labels":[],"label_agreement":null},{"id":"W3133009404","doi":"10.1090/proc/15983","title":"A Cayley–Bacharach theorem and plane configurations","year":2022,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Codimension; Mathematics; Projective space; Projective plane; Bounding overwatch; Irrationality; Pure mathematics; Space (punctuation); Intersection theorem; Structured program theorem; Combinatorics; Discrete mathematics; Projective test; Geometry; Fundamental theorem; Fixed-point theorem; Computer science","score_opus":0.04745569925633515,"score_gpt":0.3322341096302728,"score_spread":0.28477841037393764,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3133009404","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83105314,0.0014299309,0.0990747,0.0010451347,0.00006786222,0.00004108294,0.00040302274,0.00022546262,0.06665964],"genre_scores_gemma":[0.9829853,0.00033133934,0.012612201,0.000108597334,0.00006054587,0.000034971086,0.00022636974,0.000021312093,0.003619276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99929905,0.000115571325,0.000033843182,0.00015559225,0.00021794267,0.00017799568],"domain_scores_gemma":[0.9979358,0.0007864859,0.00036520656,0.000234651,0.00028053613,0.00039740722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000827768,0.00035735217,0.00059643795,0.0014288784,0.0015577073,0.0021164033,0.0007412667,0.0005566438,0.0067249034],"category_scores_gemma":[0.0035365599,0.0002709962,0.00038060552,0.0009564807,0.0029549284,0.00394811,0.0017695718,0.0013640573,0.00047991576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032972905,0.0000055529126,0.0010155982,0.000024486351,0.0000039543547,0.000055284774,0.00007953199,0.0016477768,0.00092462933,0.9925027,0.00046630987,0.0032412768],"study_design_scores_gemma":[0.000040178016,0.00009448351,0.002623296,0.00003482467,0.000011904154,0.00031536494,0.00037101988,0.021077596,0.003244254,0.96739185,0.004764124,0.000031117892],"about_ca_topic_score_codex":0.0025421241,"about_ca_topic_score_gemma":0.0017596722,"teacher_disagreement_score":0.0067249034,"about_ca_system_score_codex":0.0013206424,"about_ca_system_score_gemma":0.00057143,"threshold_uncertainty_score":0.022496998},"labels":[],"label_agreement":null},{"id":"W3133765523","doi":"10.1090/proc/15545","title":"Conformal measures and the Dobrušin-Lanford-Ruelle equations","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Conformal map; Countable set; Equivalence (formal languages); Mathematics; Measure (data warehouse); Gibbs measure; Property (philosophy); Pure mathematics; Applied mathematics; Mathematical analysis; Computer science","score_opus":0.026116679015857475,"score_gpt":0.2797527383566042,"score_spread":0.25363605934074673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3133765523","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37632614,0.008167102,0.4096402,0.008256048,0.0010019558,0.00014712171,0.00037369793,0.0002318305,0.19585586],"genre_scores_gemma":[0.8992032,0.0020830822,0.065520376,0.0010605729,0.0008345032,0.00020935848,0.00015206204,0.00010730076,0.030829543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949634,0.00013044356,0.000031548654,0.00009071834,0.0001666654,0.00008416585],"domain_scores_gemma":[0.99941087,0.00019084814,0.000095855896,0.0000719515,0.00011404542,0.00011640462],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001249344,0.00043566065,0.00059136475,0.0011507263,0.0010695461,0.0013912002,0.0010100809,0.001484046,0.0033656128],"category_scores_gemma":[0.0026801545,0.0002712389,0.000830705,0.00056721515,0.0024134594,0.002696312,0.0015770842,0.0014870557,0.00040326544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000015128514,0.0000027892604,0.000038462676,0.000005074186,0.0000014092011,0.000015222724,0.000034743956,0.00041504487,0.000194299,0.9984037,0.00021203069,0.0006756921],"study_design_scores_gemma":[0.000010506365,0.000008866106,0.00027424406,0.000013431016,0.000003094668,0.00008853893,0.00003753689,0.011636659,0.00026461217,0.9825486,0.0051000393,0.000013875585],"about_ca_topic_score_codex":0.002231305,"about_ca_topic_score_gemma":0.0021422144,"teacher_disagreement_score":0.0033656128,"about_ca_system_score_codex":0.0019679684,"about_ca_system_score_gemma":0.00062831765,"threshold_uncertainty_score":0.01427865},"labels":[],"label_agreement":null},{"id":"W3134204343","doi":"10.1090/proc/15543","title":"Refinements of the Gauss-Lucas theorem using rational lemniscates and polar convexity","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convexity; Mathematics; Gauss; Polar; Pure mathematics; Algebra over a field; Physics; Economics; Quantum mechanics","score_opus":0.01641405568117211,"score_gpt":0.27915350820603974,"score_spread":0.26273945252486763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134204343","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.073123485,0.0025526807,0.46545336,0.0039659305,0.0010161186,0.00013482705,0.00066286203,0.0007081788,0.45238268],"genre_scores_gemma":[0.783484,0.0033447281,0.11924228,0.001153071,0.0013535772,0.00019173152,0.0007928361,0.00085826515,0.089579634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990175,0.0002721026,0.000052614545,0.00019690745,0.00029574367,0.00016516341],"domain_scores_gemma":[0.99812883,0.00086009735,0.00013212945,0.00025785356,0.00045076944,0.00017042916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018252817,0.0011155036,0.0009538343,0.0027547614,0.0017404236,0.0032141735,0.0011655316,0.00083174894,0.014890513],"category_scores_gemma":[0.007351493,0.00057420495,0.0019383848,0.001597999,0.0048833312,0.0050551444,0.0031994737,0.003387017,0.0031722907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017102191,0.0000041436388,0.000072550545,0.00002322174,0.0000035573576,0.000043679844,0.00006812302,0.0012433605,0.00016048005,0.9931572,0.0015548603,0.0036516872],"study_design_scores_gemma":[0.000016212827,0.000012346732,0.00015083658,0.000023564138,0.00000913433,0.00006692165,0.00009396361,0.011874637,0.00046547668,0.97642255,0.010848248,0.00001610732],"about_ca_topic_score_codex":0.0056697982,"about_ca_topic_score_gemma":0.0047559314,"teacher_disagreement_score":0.014890513,"about_ca_system_score_codex":0.0030667854,"about_ca_system_score_gemma":0.00123852,"threshold_uncertainty_score":0.049813747},"labels":[],"label_agreement":null},{"id":"W3141858546","doi":"10.1090/proc/15592","title":"Two dimensional value-distribution of cubic Hecke 𝐿-functions","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Northern British Columbia; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Logarithm; Mathematics; Exponential function; Derivative (finance); Pure mathematics; Cubic function; Distribution (mathematics); Logarithmic derivative; Value (mathematics); Mathematical analysis; Asymptotic formula; Statistics","score_opus":0.031655363682825455,"score_gpt":0.3296928629990029,"score_spread":0.29803749931617746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3141858546","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.66615796,0.0014644072,0.24692193,0.0037766462,0.00022346254,0.00008113564,0.0004930859,0.0009541893,0.0799273],"genre_scores_gemma":[0.9785372,0.0006819797,0.008368953,0.00023113305,0.00025983094,0.000085128726,0.00027330732,0.00019878337,0.01136369],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878925,0.00034277776,0.00003912676,0.00018611655,0.00033723476,0.00030551958],"domain_scores_gemma":[0.9903341,0.0047867824,0.0009591832,0.00087013893,0.0014185567,0.0016311527],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029746296,0.0009280368,0.00088154734,0.0039787027,0.0014969014,0.0035114484,0.0023556207,0.0013506584,0.008646053],"category_scores_gemma":[0.02259541,0.00056788675,0.0008939587,0.0014318553,0.0052234773,0.006067832,0.0032454268,0.0035087848,0.0013580092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043368116,0.000026628426,0.0008983114,0.00006090142,0.000007930837,0.00012749249,0.00027165707,0.0027899565,0.00080688315,0.99145365,0.00092606613,0.0025872218],"study_design_scores_gemma":[0.000030238638,0.000030553005,0.0018440324,0.00006289803,0.00001195613,0.00042610246,0.00024063633,0.093526125,0.0017286751,0.90013283,0.001894692,0.0000712071],"about_ca_topic_score_codex":0.0022633441,"about_ca_topic_score_gemma":0.0011397955,"teacher_disagreement_score":0.008646053,"about_ca_system_score_codex":0.0029028002,"about_ca_system_score_gemma":0.0012766419,"threshold_uncertainty_score":0.02892387},"labels":[],"label_agreement":null},{"id":"W3152481922","doi":"10.1090/proc/15602","title":"Amenability properties and fixed point properties of affine representations of semigroups","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fixed point; Semigroup; Affine transformation; Banach space; Fixed-point property; Pure mathematics; Dual (grammatical number); Space (punctuation); Dual space; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.05450412347694757,"score_gpt":0.31159586431759523,"score_spread":0.2570917408406477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3152481922","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37099707,0.0014146904,0.5672868,0.0014059367,0.00028931923,0.00007862254,0.00040152256,0.000450449,0.057675667],"genre_scores_gemma":[0.95390326,0.0005786932,0.027581241,0.00022401946,0.00034264242,0.000106374384,0.00033414635,0.00016365871,0.016765967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999052,0.00020192779,0.00005119942,0.0003162222,0.00022772244,0.00015097682],"domain_scores_gemma":[0.9982967,0.00067624176,0.00023480215,0.00021913786,0.00028716068,0.00028596996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010388591,0.00044237237,0.00052243914,0.001319614,0.001082573,0.0020822613,0.00068810815,0.00064360275,0.0093643395],"category_scores_gemma":[0.0030964084,0.0002758332,0.0016745047,0.0006268734,0.0026193734,0.0035372945,0.001765325,0.001998636,0.0009364876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003250981,0.000013967809,0.00030468535,0.000036768597,0.0000117179725,0.0001486472,0.0003788312,0.00095743715,0.0028370102,0.9907907,0.0002750792,0.0042125927],"study_design_scores_gemma":[0.000017834815,0.00006698566,0.00054442394,0.000021584614,0.000012550394,0.00015877969,0.00019555078,0.008356472,0.0020195988,0.9843956,0.0041882074,0.000022372986],"about_ca_topic_score_codex":0.0010497766,"about_ca_topic_score_gemma":0.0006975297,"teacher_disagreement_score":0.0093643395,"about_ca_system_score_codex":0.001146716,"about_ca_system_score_gemma":0.00038087813,"threshold_uncertainty_score":0.03132683},"labels":[],"label_agreement":null},{"id":"W3161811711","doi":"10.1090/proc/16082","title":"On the Waldschmidt constant of square-free principal Borel ideals","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.02611917651354514,"score_gpt":0.28495793967718475,"score_spread":0.25883876316363963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161811711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4496997,0.005467625,0.09053492,0.0055550244,0.0008573947,0.0000665586,0.0008748641,0.00083919376,0.44610476],"genre_scores_gemma":[0.93145156,0.0017393797,0.0074347984,0.00052905484,0.00063000637,0.000047137168,0.00039396994,0.00022397054,0.05755004],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993204,0.00011744689,0.000027233244,0.00012388796,0.00020943384,0.00020155446],"domain_scores_gemma":[0.9989417,0.00043914904,0.000091420516,0.00010010089,0.00019045461,0.0002371813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009702958,0.0007715818,0.00072559115,0.0028104233,0.0022712725,0.002821954,0.0008671246,0.0006950327,0.01284753],"category_scores_gemma":[0.002657784,0.0006183208,0.0008225204,0.001884408,0.0037549858,0.004337153,0.0023768423,0.0024781192,0.002754519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030018571,0.000009067128,0.00027242483,0.000030783063,0.000008003399,0.000056974208,0.00020204543,0.00047544207,0.00054675445,0.99296594,0.0018634113,0.0035390733],"study_design_scores_gemma":[0.000020082309,0.0000197664,0.00070563745,0.000024528936,0.000013198113,0.00007503764,0.00011131985,0.0023373978,0.0007441295,0.99008816,0.0058425055,0.00001823013],"about_ca_topic_score_codex":0.006396074,"about_ca_topic_score_gemma":0.005426434,"teacher_disagreement_score":0.01284753,"about_ca_system_score_codex":0.0032499137,"about_ca_system_score_gemma":0.0012800308,"threshold_uncertainty_score":0.0429793},"labels":[],"label_agreement":null},{"id":"W3173056581","doi":"10.1090/proc/15674","title":"Counting solvable 𝑆-unit equations","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Annotation; Algorithm; Computer science; Semantics (computer science); Type (biology); Class (philosophy); Artificial intelligence; Programming language; Biology","score_opus":0.03375398147477771,"score_gpt":0.2984451555131959,"score_spread":0.2646911740384182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3173056581","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23990422,0.0026507608,0.4777239,0.006207471,0.0010642142,0.0002570802,0.0022381262,0.0019728513,0.26798147],"genre_scores_gemma":[0.81044954,0.0013823756,0.10352758,0.0014390261,0.0009770433,0.00048857665,0.0023415096,0.0010245056,0.07836982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965209,0.00073598826,0.00028130724,0.00060650334,0.0012100945,0.00064528984],"domain_scores_gemma":[0.98733926,0.008144488,0.00080253946,0.0014600869,0.0016135985,0.0006400749],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028012425,0.0013567009,0.0017118638,0.0035374172,0.0018391283,0.0043489556,0.003559893,0.0017661419,0.026374124],"category_scores_gemma":[0.023196148,0.0008020335,0.0024637394,0.0025321613,0.0027481802,0.0086104665,0.0044833464,0.0050518624,0.003739621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000683851,0.000032327895,0.00059468404,0.00020414405,0.000026058144,0.000088964596,0.00026615124,0.0032302283,0.0007846652,0.97873586,0.0046550967,0.011313358],"study_design_scores_gemma":[0.000024287086,0.000012640992,0.00020834965,0.000041519037,0.000023461811,0.000057546687,0.00004732407,0.040482067,0.0013139484,0.95427114,0.0034959167,0.000021821397],"about_ca_topic_score_codex":0.0031522033,"about_ca_topic_score_gemma":0.0039796266,"teacher_disagreement_score":0.026374124,"about_ca_system_score_codex":0.0038752323,"about_ca_system_score_gemma":0.0015608052,"threshold_uncertainty_score":0.08823025},"labels":[],"label_agreement":null},{"id":"W3179074173","doi":"10.1090/proc/16044","title":"Improved bounds for colouring circle graphs","year":2022,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Omega; Combinatorics; Clique number; Bounding overwatch; Mathematics; Clique; Chromatic scale; Constant (computer programming); Graph; Function (biology); Discrete mathematics; Computer science; Physics","score_opus":0.020775671777796007,"score_gpt":0.3039574474717729,"score_spread":0.2831817756939769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3179074173","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11330293,0.0025837522,0.74837047,0.004015323,0.00060977857,0.0002453484,0.0015974258,0.008149198,0.12112578],"genre_scores_gemma":[0.62862486,0.002339299,0.3198443,0.0021488357,0.00074222864,0.0005471912,0.0030478877,0.0037704126,0.038935047],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952323,0.0008873419,0.00013414783,0.0011756569,0.0015731729,0.0009973618],"domain_scores_gemma":[0.9841679,0.008984502,0.0007331643,0.0038536994,0.0014893,0.00077154156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026118474,0.0026246407,0.001469988,0.002756559,0.001640936,0.0044565722,0.0047561703,0.0024757243,0.026724014],"category_scores_gemma":[0.019449716,0.0009801679,0.0021949208,0.0030781983,0.0035293165,0.011515057,0.0051392624,0.0048353355,0.0068611037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009587168,0.0003226865,0.003210036,0.0009768847,0.00018503494,0.0003765214,0.0011102256,0.12382423,0.023619052,0.6554497,0.049842753,0.14012413],"study_design_scores_gemma":[0.00007904778,0.00018645616,0.0018345519,0.00018545757,0.0002142241,0.00037408856,0.0002469314,0.38726383,0.018464243,0.55280435,0.0382559,0.000090830756],"about_ca_topic_score_codex":0.006813205,"about_ca_topic_score_gemma":0.007357042,"teacher_disagreement_score":0.026724014,"about_ca_system_score_codex":0.0051464154,"about_ca_system_score_gemma":0.0019807967,"threshold_uncertainty_score":0.08940071},"labels":[],"label_agreement":null},{"id":"W3183771210","doi":"10.1090/proc/15523","title":"Algebraic degree in spatial matricial numerical ranges of linear operators","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Matrix Theory and Algorithms","field":"Computer Science","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":"Saint Mary's University; University of Waterloo; University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Degree (music); Mathematics; Algebraic number; Linear operators; Pure mathematics; Mathematical analysis; Physics","score_opus":0.01394806673691374,"score_gpt":0.24963719148603175,"score_spread":0.23568912474911802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3183771210","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81481344,0.00047322732,0.13090464,0.000889908,0.00011875752,0.0000582793,0.0004403503,0.00041194123,0.051889367],"genre_scores_gemma":[0.9823742,0.00023875797,0.0103389565,0.00010051583,0.00012367916,0.000042824628,0.00024648034,0.0001020662,0.006432657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849725,0.00025217817,0.00008411869,0.00024614087,0.00055876403,0.000361537],"domain_scores_gemma":[0.9974371,0.0009271793,0.00039114372,0.00027812633,0.0005219701,0.0004443213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010296421,0.00058841356,0.00052386004,0.0019733713,0.0010917105,0.0031044835,0.0008140264,0.00060998823,0.009080197],"category_scores_gemma":[0.0054463553,0.00031924984,0.00068221445,0.0009943282,0.0032390328,0.0055702394,0.0027450689,0.0017106232,0.001096539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006958957,0.000023140325,0.00074190483,0.000057568894,0.000008551737,0.00011492008,0.0003497309,0.0016868148,0.002819713,0.9879457,0.0005611319,0.0056212842],"study_design_scores_gemma":[0.000025742082,0.00011176957,0.0018361955,0.000034330515,0.00001559769,0.00038786643,0.00043288717,0.021940375,0.006917112,0.96370804,0.004532026,0.000058154033],"about_ca_topic_score_codex":0.0007706471,"about_ca_topic_score_gemma":0.00059339276,"teacher_disagreement_score":0.009080197,"about_ca_system_score_codex":0.001074185,"about_ca_system_score_gemma":0.00063661364,"threshold_uncertainty_score":0.030376315},"labels":[],"label_agreement":null},{"id":"W3199193222","doi":"10.1090/proc/16161","title":"Finite determinacy and approximation of flat maps","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Algorithm; Annotation; Mathematics; Computer science; Artificial intelligence","score_opus":0.015869634964345344,"score_gpt":0.25199327758147094,"score_spread":0.2361236426171256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3199193222","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34243903,0.0016868484,0.6208195,0.0014388778,0.00022917488,0.00004626968,0.00024635883,0.0009886575,0.032105353],"genre_scores_gemma":[0.9540978,0.00053623354,0.032651182,0.00017115158,0.00012199557,0.000040032686,0.0002560027,0.00015524877,0.011970439],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967554,0.000737339,0.00019914401,0.00079638197,0.0009674838,0.0005442166],"domain_scores_gemma":[0.9959429,0.0022234465,0.0003349636,0.0005926598,0.0005770512,0.00032902317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023578417,0.0006360333,0.001115342,0.0020088828,0.0021069772,0.003631029,0.0013072081,0.0010327892,0.003138899],"category_scores_gemma":[0.011840588,0.00058020616,0.0018291875,0.0009707378,0.004030159,0.0051320656,0.0033893501,0.002892256,0.00055811193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007877269,0.000013651382,0.00084381783,0.000051746727,0.000020395257,0.000114803275,0.00043577526,0.006626308,0.00089844933,0.98119706,0.00034033484,0.009378973],"study_design_scores_gemma":[0.000011659032,0.000047325568,0.0006290071,0.000029643134,0.000018589833,0.000113766466,0.0002237625,0.049511343,0.0019798863,0.94430935,0.0030920922,0.000033588534],"about_ca_topic_score_codex":0.006379253,"about_ca_topic_score_gemma":0.0026845566,"teacher_disagreement_score":0.006379253,"about_ca_system_score_codex":0.0038859937,"about_ca_system_score_gemma":0.00120796,"threshold_uncertainty_score":0.028195024},"labels":[],"label_agreement":null},{"id":"W3202408200","doi":"10.1090/proc/16108","title":"Uniqueness and stability of singular Ricci flows in higher dimensions","year":2022,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation","keywords":"Ricci flow; Uniqueness; Gravitational singularity; Mathematics; Pure mathematics; Stability (learning theory); Ricci curvature; Mathematical analysis; Curvature; Ricci-flat manifold; Flow (mathematics); Singularity; Isotropy; Maximum principle; Scalar curvature; Geometry; Physics; Computer science; Mathematical optimization","score_opus":0.04279540744531476,"score_gpt":0.2938850917096474,"score_spread":0.25108968426433265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3202408200","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6143562,0.0027454437,0.30904683,0.0023936527,0.00025662503,0.000071409624,0.0003150155,0.00042625412,0.070388466],"genre_scores_gemma":[0.9714579,0.00054353004,0.018801425,0.00020762689,0.00015672337,0.000045887362,0.0001377943,0.00008837642,0.008560671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993876,0.00015347655,0.00003996507,0.0001550393,0.00016426844,0.000099590514],"domain_scores_gemma":[0.9987319,0.0003345576,0.00020242059,0.00012311492,0.00039837568,0.00020965452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009943045,0.00063349545,0.0005373166,0.0019250766,0.0013491727,0.0016231562,0.0007626895,0.0008438681,0.0023040683],"category_scores_gemma":[0.0036662642,0.00036327742,0.0009755433,0.00056389807,0.0025514816,0.0023847872,0.0027572424,0.0014130042,0.00045151977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018760862,0.000011011012,0.0008190857,0.000045422614,0.000014880093,0.0001415822,0.00033132674,0.0053150123,0.0032755411,0.98526657,0.00079062633,0.0039701597],"study_design_scores_gemma":[0.000010748117,0.000029199253,0.0012077026,0.000028379916,0.000010428208,0.00019496091,0.0001659058,0.05784116,0.0025506897,0.93511444,0.0028040765,0.000042315565],"about_ca_topic_score_codex":0.0020924043,"about_ca_topic_score_gemma":0.0010377349,"teacher_disagreement_score":0.0023040683,"about_ca_system_score_codex":0.0014648807,"about_ca_system_score_gemma":0.0008021715,"threshold_uncertainty_score":0.010628462},"labels":[],"label_agreement":null},{"id":"W3208337740","doi":"10.1090/proc/16246","title":"The Montesinos trick for proper rational tangle replacement","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Tangle; Mathematics; Prime (order theory); Combinatorics; Pure mathematics","score_opus":0.02731115731011921,"score_gpt":0.2854709223989528,"score_spread":0.25815976508883354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3208337740","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.627601,0.0025447188,0.24107,0.0010448919,0.00056680123,0.00006102719,0.00013262195,0.0005484507,0.12643044],"genre_scores_gemma":[0.9669969,0.00053541316,0.022561876,0.00010648261,0.00013899067,0.000019362891,0.000060468337,0.0000618114,0.009518637],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994998,0.00007326205,0.000030883606,0.00013123672,0.0001731671,0.000091705326],"domain_scores_gemma":[0.99949396,0.00013736842,0.00007583666,0.00013075999,0.00008343688,0.000078699806],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007513547,0.0004082357,0.0005676197,0.0014804031,0.001144092,0.0012166812,0.0004011851,0.00060567725,0.002916216],"category_scores_gemma":[0.0015753479,0.000263827,0.00059195963,0.0005400533,0.0024811942,0.0032992407,0.0013267644,0.0015513721,0.0004398046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033852495,0.000015929067,0.0012907407,0.000033109925,0.000005566728,0.00020398153,0.000419265,0.0014709841,0.0036026656,0.9819603,0.000560165,0.01040339],"study_design_scores_gemma":[0.000017647524,0.000111118956,0.0025906635,0.000040835523,0.000026741285,0.001195584,0.00025096725,0.019063272,0.005051652,0.94863814,0.022970192,0.000043092918],"about_ca_topic_score_codex":0.0007198255,"about_ca_topic_score_gemma":0.0007422748,"teacher_disagreement_score":0.002916216,"about_ca_system_score_codex":0.0006500927,"about_ca_system_score_gemma":0.00027262155,"threshold_uncertainty_score":0.009755731},"labels":[],"label_agreement":null},{"id":"W3211579232","doi":"10.1090/proc/16333","title":"A geometric generalization of Kaplansky’s direct finiteness conjecture","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; Dawson College","funders":"","keywords":"Generalization; Conjecture; Mathematics; Pure mathematics; Mathematical analysis","score_opus":0.009833542175696791,"score_gpt":0.226345796022665,"score_spread":0.2165122538469682,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3211579232","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3257919,0.0028168163,0.18507788,0.015275441,0.0009102542,0.00009043832,0.0011984085,0.0015103703,0.46732843],"genre_scores_gemma":[0.9533326,0.0007575323,0.013671501,0.0013672336,0.000712992,0.00007589503,0.0010037017,0.00015880216,0.028919723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861205,0.00025760298,0.000059233316,0.0005854041,0.00028496896,0.00020067365],"domain_scores_gemma":[0.99733573,0.0012631639,0.00024041024,0.00056234386,0.00037460178,0.00022369348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013286384,0.00068589684,0.00080986816,0.001312509,0.0016531685,0.0027190412,0.0011708557,0.0011698512,0.020160846],"category_scores_gemma":[0.0049734935,0.0003686608,0.0010043278,0.0012012395,0.0047196164,0.009593953,0.003409916,0.0027349282,0.0024574483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035817822,0.000019443934,0.0005016417,0.00005223225,0.000008886424,0.00008874673,0.00027308328,0.00073599874,0.00028847382,0.9866954,0.0040260367,0.007274383],"study_design_scores_gemma":[0.000016159214,0.000014593316,0.00026294676,0.000012289717,0.000007592249,0.000085714324,0.00009789442,0.0015053536,0.0002826565,0.99115866,0.0065470887,0.000009008413],"about_ca_topic_score_codex":0.0019971726,"about_ca_topic_score_gemma":0.0015431385,"teacher_disagreement_score":0.020160846,"about_ca_system_score_codex":0.0021450296,"about_ca_system_score_gemma":0.0008912287,"threshold_uncertainty_score":0.0674448},"labels":[],"label_agreement":null},{"id":"W3214254670","doi":"10.1090/proc/15934","title":"A note on stability of syzygy bundles on Enriques and bielliptic surfaces","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"National Science Foundation","keywords":"Hilbert's syzygy theorem; Mathematics; Pure mathematics","score_opus":0.024448690371502255,"score_gpt":0.2843851082370633,"score_spread":0.25993641786556104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3214254670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69318193,0.004042719,0.09433859,0.0061701043,0.0011854758,0.00006128578,0.000315917,0.00064627366,0.20005776],"genre_scores_gemma":[0.9652039,0.00124394,0.007861058,0.00031694234,0.00052666,0.00003278983,0.00014907397,0.00012972835,0.024536036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952507,0.00011937059,0.000029561457,0.00009588111,0.00014147193,0.00008866073],"domain_scores_gemma":[0.9995321,0.00014638448,0.00005312997,0.00006586572,0.000119612676,0.000082870894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000791133,0.0006655104,0.00055574364,0.001635398,0.001542769,0.001963793,0.0005026998,0.0007054348,0.008480382],"category_scores_gemma":[0.001574457,0.00026380364,0.00045658136,0.00059418223,0.0019752136,0.0033550186,0.002758004,0.0018623635,0.0011012224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050455015,0.000018433595,0.000555694,0.00006172452,0.000020854875,0.00025960687,0.00084638037,0.0009711617,0.0050642835,0.98207986,0.0020811793,0.007990486],"study_design_scores_gemma":[0.000032616394,0.00015545668,0.0023446153,0.00004515263,0.000036687863,0.0003429249,0.0007122095,0.009217493,0.006974335,0.9596418,0.0204524,0.000044254008],"about_ca_topic_score_codex":0.0010971277,"about_ca_topic_score_gemma":0.0005776324,"teacher_disagreement_score":0.008480382,"about_ca_system_score_codex":0.0010384856,"about_ca_system_score_gemma":0.00037103368,"threshold_uncertainty_score":0.028369665},"labels":[],"label_agreement":null},{"id":"W4210252465","doi":"10.1090/proc/15990","title":"The Gelfand problem on annular domains of double revolution with monotonicity","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Manitoba","funders":"","keywords":"Monotonic function; Mathematics; Mathematical economics; Calculus (dental); Mathematical analysis; Medicine","score_opus":0.021656339702328952,"score_gpt":0.28288636377936716,"score_spread":0.2612300240770382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4210252465","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38688558,0.0028019762,0.3638289,0.011204388,0.00082182634,0.00012788345,0.00139597,0.00049646135,0.23243712],"genre_scores_gemma":[0.8751031,0.0011498679,0.060710613,0.0009105048,0.00048046192,0.00020776926,0.001171393,0.00032596494,0.05994021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991578,0.000265659,0.000037310376,0.00015701936,0.00015985157,0.00022240376],"domain_scores_gemma":[0.9968444,0.0020608068,0.0002867208,0.00015994678,0.00028167592,0.00036643344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015226651,0.0010434273,0.001237605,0.0019411986,0.0020656923,0.003736602,0.0015889193,0.0028385227,0.016698524],"category_scores_gemma":[0.008909035,0.0005642992,0.0011672109,0.0008979976,0.0032812734,0.00469903,0.0031289405,0.0026927204,0.0013713783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060660164,0.000020718351,0.00029392497,0.00006682955,0.000011547248,0.00012506293,0.00009366191,0.0068190554,0.00019000293,0.9849979,0.003748394,0.0035722665],"study_design_scores_gemma":[0.000054818596,0.000021983395,0.00022955071,0.000050203103,0.000010550112,0.00014385137,0.00019925936,0.052371625,0.00035792743,0.9406569,0.0058844476,0.000018892999],"about_ca_topic_score_codex":0.0035064414,"about_ca_topic_score_gemma":0.0022725773,"teacher_disagreement_score":0.016698524,"about_ca_system_score_codex":0.0021998892,"about_ca_system_score_gemma":0.0011057705,"threshold_uncertainty_score":0.05586207},"labels":[],"label_agreement":null},{"id":"W4212966934","doi":"10.1090/proc/15811","title":"Braid group and 𝑞-Racah polynomials","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.014961267602216891,"score_gpt":0.2594220409843397,"score_spread":0.2444607733821228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4212966934","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3161737,0.0012560451,0.08431859,0.002383574,0.0011670301,0.00008952653,0.0005683757,0.00095803017,0.5930852],"genre_scores_gemma":[0.8425197,0.0004974111,0.014690447,0.0004599349,0.0003356712,0.00004703292,0.00037851132,0.00028247165,0.14078884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995889,0.000059739767,0.000012934782,0.00007351873,0.00014270339,0.00012206149],"domain_scores_gemma":[0.99972886,0.000058470134,0.000038140537,0.00004910146,0.000066254644,0.00005916873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037938365,0.00037692543,0.00036365248,0.001345986,0.0012350937,0.0015761264,0.0005133122,0.0005563086,0.02263199],"category_scores_gemma":[0.0009466887,0.00022657712,0.0005053489,0.0009961564,0.0016789865,0.0015299916,0.0012229431,0.0013082973,0.0048664357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026294318,0.0000073383253,0.000063342086,0.000021119637,0.0000020310351,0.000049279566,0.00018445213,0.00041028237,0.0006993016,0.9879098,0.0025357793,0.008090941],"study_design_scores_gemma":[0.000017462367,0.00002961657,0.0004750774,0.000019380614,0.0000046866035,0.0001734768,0.00017275698,0.004645928,0.0016396603,0.96664774,0.026146615,0.000027590075],"about_ca_topic_score_codex":0.0016124179,"about_ca_topic_score_gemma":0.0012719841,"teacher_disagreement_score":0.02263199,"about_ca_system_score_codex":0.001057642,"about_ca_system_score_gemma":0.00056836946,"threshold_uncertainty_score":0.07571161},"labels":[],"label_agreement":null},{"id":"W4213379826","doi":"10.1090/proc/15880","title":"On the localization of measure induced Toeplitz operators on the Bergman space","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator 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":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Toeplitz matrix; Corollary; Bergman space; Measure (data warehouse); Mathematics; Toeplitz operator; Borel measure; Pure mathematics; Operator (biology); Space (punctuation); Bergman kernel; Symbol (formal); Mathematical analysis; Probability measure; Computer science; Bounded function","score_opus":0.03402690976369873,"score_gpt":0.2737875501866749,"score_spread":0.23976064042297615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4213379826","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54706556,0.001723989,0.3878778,0.0023552172,0.00035416405,0.00005016082,0.00015417753,0.00023157394,0.060187392],"genre_scores_gemma":[0.96364444,0.0011408596,0.019319316,0.00038295367,0.00029623086,0.000076174285,0.000087102846,0.00006947067,0.014983359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958533,0.00011720063,0.000014883202,0.000089839246,0.00010344586,0.00008933866],"domain_scores_gemma":[0.99867684,0.0005265781,0.00021957449,0.00009342788,0.00018885049,0.00029472736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001012073,0.00082588335,0.0005615224,0.0015831875,0.00097364397,0.0015636069,0.0008302978,0.00081679685,0.0038059906],"category_scores_gemma":[0.0028199272,0.0002209716,0.00050620415,0.0007457518,0.0036071453,0.0027501162,0.0024770624,0.0015380848,0.0006788103],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030391553,0.00002702122,0.00036560145,0.00007036967,0.000010940739,0.00022119533,0.00032018597,0.0028820913,0.0062721274,0.9848349,0.000707412,0.004257798],"study_design_scores_gemma":[0.000024053756,0.000119008255,0.0010977769,0.000033096792,0.000016158463,0.00038155745,0.00030173868,0.05050044,0.0034624,0.941363,0.0026567252,0.0000440678],"about_ca_topic_score_codex":0.00065961806,"about_ca_topic_score_gemma":0.00042597533,"teacher_disagreement_score":0.0038059906,"about_ca_system_score_codex":0.0007488132,"about_ca_system_score_gemma":0.0004942444,"threshold_uncertainty_score":0.012732327},"labels":[],"label_agreement":null},{"id":"W4214845636","doi":"10.1090/proc/16049","title":"Roots of the identity operator and proximal mappings: (Classical and phantom) cycles and gap vectors","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","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":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lemma (botany); Mathematics; Conjecture; Convex set; Imaging phantom; Regular polygon; Hilbert space; Operator (biology); Pure mathematics; Duality (order theory); Identity (music); Set (abstract data type); Convex analysis; Operator theory; Normed vector space; Combinatorics; Mathematical analysis; Geometry; Computer science; Convex optimization; Physics","score_opus":0.011991511374713127,"score_gpt":0.2434513830502556,"score_spread":0.23145987167554247,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4214845636","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57852453,0.0017504939,0.363756,0.0023826112,0.00017307625,0.00008200695,0.00027872858,0.00017597862,0.052876562],"genre_scores_gemma":[0.96047205,0.0005125793,0.028739812,0.00019268451,0.00010202838,0.000068125126,0.00011684789,0.00009757674,0.009698419],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993362,0.00014997476,0.000029929828,0.00017002456,0.00018429889,0.00012955068],"domain_scores_gemma":[0.9983486,0.00062894984,0.00023225228,0.00013139396,0.00031331446,0.00034551142],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010757595,0.0005885673,0.0007863438,0.0022181144,0.0012352266,0.0022506423,0.00088211783,0.0013012901,0.0050714067],"category_scores_gemma":[0.0056637363,0.00041206586,0.0006011053,0.001151829,0.00408852,0.005616424,0.0029438804,0.0020694495,0.0004667099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016231552,0.000005351959,0.00018623298,0.000014378327,0.0000024247354,0.00004347307,0.00013967307,0.0007384123,0.00041158847,0.9951428,0.00024792552,0.0030515844],"study_design_scores_gemma":[0.0000068085906,0.000014382782,0.00018406063,0.0000083855775,0.0000017420161,0.00008246032,0.00009627698,0.006851114,0.00039457373,0.9910568,0.0012954784,0.000007948245],"about_ca_topic_score_codex":0.0009156172,"about_ca_topic_score_gemma":0.0004989245,"teacher_disagreement_score":0.0050714067,"about_ca_system_score_codex":0.0013142163,"about_ca_system_score_gemma":0.00072282227,"threshold_uncertainty_score":0.016965508},"labels":[],"label_agreement":null},{"id":"W4221156602","doi":"10.1090/proc/16190","title":"Obstructions to countable saturation in corona algebras","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Agence Nationale de la Recherche","keywords":"Countable set; Saturation (graph theory); Corona (planetary geology); Mathematics; Astrophysics; Pure mathematics; Physics; Combinatorics; Astrobiology","score_opus":0.02345369089579784,"score_gpt":0.311056974340259,"score_spread":0.2876032834444611,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221156602","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7668036,0.0015747019,0.08846142,0.0030124024,0.00023400519,0.00006455889,0.00044851186,0.0006839087,0.13871679],"genre_scores_gemma":[0.9863003,0.00026991768,0.0039057375,0.00018956936,0.00015312535,0.000033919656,0.00020392264,0.00008027347,0.008863353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781966,0.00046190346,0.00013812956,0.0004156162,0.00056936214,0.00059530576],"domain_scores_gemma":[0.996247,0.0015844784,0.0003634942,0.0004288874,0.0005928917,0.0007832898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016829572,0.000588526,0.0009999498,0.0021459197,0.0035920525,0.003810939,0.0009830995,0.0012080392,0.009889105],"category_scores_gemma":[0.0055595916,0.0005625686,0.0016634205,0.001249228,0.0052486965,0.009826515,0.0050955014,0.0019810013,0.0007750006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027643757,0.0000134604825,0.0006880531,0.000037150276,0.000009598431,0.000109978304,0.00042409633,0.0003449385,0.0006259703,0.99613684,0.00039016805,0.0011921541],"study_design_scores_gemma":[0.000025232806,0.000035137382,0.0010672542,0.000028133503,0.000020728841,0.00018153922,0.000574281,0.004341702,0.0010546951,0.98765683,0.0049890545,0.000025470858],"about_ca_topic_score_codex":0.004004386,"about_ca_topic_score_gemma":0.0028570245,"teacher_disagreement_score":0.009889105,"about_ca_system_score_codex":0.002784805,"about_ca_system_score_gemma":0.0010240986,"threshold_uncertainty_score":0.033082306},"labels":[],"label_agreement":null},{"id":"W4221163607","doi":"10.1090/proc/16033","title":"Superconvergence in free probability limit theorems for arbitrary triangular arrays","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Superconvergence; Independent and identically distributed random variables; Limit (mathematics); Row; Mathematics; Convergence (economics); Triangular array; Central limit theorem; Distribution (mathematics); Row and column spaces; Mathematical analysis; Combinatorics; Random variable; Physics; Statistics; Computer science; Finite element method","score_opus":0.03193260740308928,"score_gpt":0.2823586473657844,"score_spread":0.25042603996269513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221163607","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12152145,0.0011057787,0.8381704,0.0014277247,0.0002187817,0.0000688441,0.00020852257,0.00045624358,0.036822237],"genre_scores_gemma":[0.9017988,0.0013767931,0.072085686,0.0008666593,0.0003762927,0.0004324738,0.0005339185,0.0006151196,0.021914242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807394,0.00063288695,0.00007909777,0.00029236428,0.00068381714,0.00023791636],"domain_scores_gemma":[0.97614765,0.017752511,0.0011251252,0.0013324787,0.0028504815,0.000791652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004559703,0.00078380987,0.0009166582,0.0025927236,0.0013418677,0.002419293,0.0022778367,0.00087507075,0.00533861],"category_scores_gemma":[0.03478748,0.00054832164,0.0010024317,0.0012757374,0.003333374,0.0038919454,0.0022742276,0.0028760964,0.0008333037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003903294,0.000031524858,0.00066561706,0.0000691244,0.000019580406,0.00018360958,0.00023190223,0.026686478,0.0013231757,0.9620515,0.0017917512,0.0069066505],"study_design_scores_gemma":[0.000015976453,0.000025797957,0.00036474664,0.00002742619,0.00000812617,0.0001653,0.000050797764,0.306715,0.001634095,0.689601,0.0013678555,0.000023790277],"about_ca_topic_score_codex":0.0018134604,"about_ca_topic_score_gemma":0.0012504506,"teacher_disagreement_score":0.00533861,"about_ca_system_score_codex":0.0016154436,"about_ca_system_score_gemma":0.0006979896,"threshold_uncertainty_score":0.02411437},"labels":[],"label_agreement":null},{"id":"W4233241064","doi":"10.1090/s0002-9939-2010-10513-0","title":"Difference randomness","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Randomness; Randomness tests; Mathematics; Martingale (probability theory); Discrete mathematics; Hierarchy; Turing; Combinatorics; Computer science; Applied mathematics; Statistics","score_opus":0.009326609458625727,"score_gpt":0.23760269701758113,"score_spread":0.2282760875589554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233241064","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.056300405,0.0017753432,0.7483216,0.004093257,0.0012449884,0.00021878681,0.0007612654,0.0013598431,0.18592443],"genre_scores_gemma":[0.81027174,0.0008338509,0.14096867,0.002629358,0.0009214514,0.0006146643,0.0009339943,0.00092087773,0.04190545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9869888,0.0036430508,0.0009828046,0.0031896878,0.0038521022,0.0013436223],"domain_scores_gemma":[0.9855574,0.0065281875,0.0010682233,0.0041666124,0.0018031247,0.0008765255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005464315,0.0009927409,0.0013814843,0.0019730642,0.0027035908,0.0053757746,0.0025394342,0.00231531,0.013269854],"category_scores_gemma":[0.018794773,0.0007196955,0.0027257758,0.0013564916,0.011187833,0.012481657,0.0070580724,0.005612868,0.002867704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020369556,0.0000069973958,0.00018310918,0.000024208184,0.000007994661,0.00002634433,0.000090513444,0.0010578844,0.0002610672,0.99399924,0.00074202404,0.0035803015],"study_design_scores_gemma":[0.000023359682,0.000051244555,0.00019453902,0.00002950846,0.00001658253,0.00013525318,0.000068753456,0.0076847305,0.0010087818,0.96905243,0.021694727,0.000040018185],"about_ca_topic_score_codex":0.0014543877,"about_ca_topic_score_gemma":0.0009445907,"teacher_disagreement_score":0.013269854,"about_ca_system_score_codex":0.003801846,"about_ca_system_score_gemma":0.0016939185,"threshold_uncertainty_score":0.04439205},"labels":[],"label_agreement":null},{"id":"W4235897970","doi":"10.1090/proc/15776","title":"Generalized Diophantine 𝑚-tuples","year":2021,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tuple; Diophantine equation; Mathematics; Computer science; Discrete mathematics","score_opus":0.019304987711026025,"score_gpt":0.2713067083699284,"score_spread":0.25200172065890236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235897970","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09082346,0.0038768195,0.5150788,0.0035361904,0.0019841394,0.00019568435,0.004930384,0.0020722821,0.37750217],"genre_scores_gemma":[0.698732,0.0020458163,0.18535683,0.0018141286,0.0005362314,0.00020734711,0.003633538,0.0007332182,0.106940925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990314,0.0001471687,0.00008132599,0.00026529984,0.00034637973,0.00012846987],"domain_scores_gemma":[0.99931264,0.00020572841,0.00004073351,0.0001748012,0.0002254491,0.00004057451],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007855589,0.0006464038,0.0007709199,0.00064807426,0.001222868,0.0023311058,0.00094791525,0.0005967959,0.015094517],"category_scores_gemma":[0.0021992077,0.0003867493,0.00089585676,0.0012267652,0.0013750683,0.0029881103,0.0014750529,0.0023948767,0.004044428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007140019,0.000015336485,0.0001650588,0.00015000722,0.0000148448125,0.00011048643,0.00024684297,0.001793648,0.0013244086,0.95818603,0.011605488,0.026316555],"study_design_scores_gemma":[0.000023837089,0.000024305424,0.00021446118,0.00004501279,0.000015865453,0.00019678262,0.000106560576,0.006794559,0.0019191407,0.9377252,0.05290912,0.000025269834],"about_ca_topic_score_codex":0.0016994835,"about_ca_topic_score_gemma":0.002434462,"teacher_disagreement_score":0.015094517,"about_ca_system_score_codex":0.0022358384,"about_ca_system_score_gemma":0.0009317208,"threshold_uncertainty_score":0.05049622},"labels":[],"label_agreement":null},{"id":"W4240750389","doi":"10.1090/proc/15885","title":"Dense metrizable subspaces in powers of Corson compacta","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Metrization theorem; Linear subspace; Countable set; Mathematics; Subspace topology; Pure mathematics; Power (physics); Mathematical analysis; Physics; Separable space","score_opus":0.02369956206316381,"score_gpt":0.309963601444605,"score_spread":0.2862640393814412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4240750389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7056374,0.0008998243,0.1942146,0.0008569647,0.00011825317,0.00009809593,0.0003499715,0.0002999849,0.09752495],"genre_scores_gemma":[0.97963643,0.00012271605,0.0141403405,0.000049123017,0.000035358873,0.0000479116,0.0001499702,0.000041719475,0.0057763713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916446,0.0001366897,0.00006836861,0.00016940932,0.0002817782,0.0001792829],"domain_scores_gemma":[0.99754566,0.00085124566,0.00035692044,0.0004907127,0.00040272955,0.00035273394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007106765,0.0005160378,0.0004906415,0.0011964906,0.0012587749,0.0023578126,0.0006084165,0.00065852073,0.005783056],"category_scores_gemma":[0.0041097323,0.00029822474,0.00058622484,0.0008677382,0.00371937,0.004532184,0.0027678576,0.0012410383,0.00047370596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004949357,0.000011325394,0.0011014984,0.00004903461,0.0000084961885,0.00032998718,0.0008293176,0.0009957982,0.0035370924,0.9887588,0.0004378325,0.0038912618],"study_design_scores_gemma":[0.000039768922,0.00007501917,0.001720564,0.000059088266,0.000021468522,0.0008373987,0.0017684451,0.016056603,0.01113165,0.9472223,0.021029998,0.000037786383],"about_ca_topic_score_codex":0.0012260192,"about_ca_topic_score_gemma":0.0012073934,"teacher_disagreement_score":0.005783056,"about_ca_system_score_codex":0.00097141095,"about_ca_system_score_gemma":0.00028996644,"threshold_uncertainty_score":0.019346237},"labels":[],"label_agreement":null},{"id":"W4249819318","doi":"10.1090/s0002-9939-04-07346-0","title":"Cellular generators","year":2004,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina; University of Alberta","funders":"Volkswagen Foundation; National Science Foundation","keywords":"Mathematics; Functor; Corollary; Lattice (music); Combinatorics; Space (punctuation); Pure mathematics; Kernel (algebra); Discrete mathematics; Physics; Computer science","score_opus":0.017798881698534493,"score_gpt":0.2655195593942589,"score_spread":0.24772067769572442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4249819318","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.028920276,0.0015613737,0.27896488,0.0020723029,0.0023674655,0.0002604226,0.003285138,0.0024050863,0.6801631],"genre_scores_gemma":[0.3882044,0.0016176687,0.08791298,0.0020651638,0.0014585187,0.0005808994,0.008073054,0.001990802,0.5080965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990085,0.00014639487,0.00006272022,0.0003383452,0.00023108657,0.00021299822],"domain_scores_gemma":[0.9990245,0.00017804746,0.00007311116,0.0003014092,0.00030305266,0.00011976385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050105294,0.00087264396,0.0008362823,0.001838011,0.002055919,0.0033811776,0.0014941208,0.0013068962,0.0935958],"category_scores_gemma":[0.0020552804,0.00042074724,0.0014248324,0.0010357063,0.0014237589,0.0034546463,0.003693974,0.002033578,0.028832547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024513321,0.000015822945,0.00015784611,0.000052298525,0.000008287528,0.000085992135,0.00009642004,0.00054808334,0.00073254696,0.969495,0.01179524,0.016987909],"study_design_scores_gemma":[0.000024843515,0.000029020366,0.00024514034,0.000037696886,0.000014872605,0.00027904825,0.00012446493,0.0040538446,0.002011654,0.8346322,0.15852508,0.000021985628],"about_ca_topic_score_codex":0.0010441262,"about_ca_topic_score_gemma":0.0015407864,"teacher_disagreement_score":0.0935958,"about_ca_system_score_codex":0.0015845266,"about_ca_system_score_gemma":0.0008652634,"threshold_uncertainty_score":0.31310916},"labels":[],"label_agreement":null},{"id":"W4281398079","doi":"10.1090/proc/15691","title":"Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Simons Foundation","keywords":"Nirenberg and Matthaei experiment; Lorentz transformation; Type (biology); Inequality; Mathematics; Pure mathematics; Physics; Mathematical analysis; Classical mechanics; Biology; Ecology","score_opus":0.04160378333324117,"score_gpt":0.2999866379575443,"score_spread":0.25838285462430316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4281398079","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.072118446,0.007919967,0.5978243,0.010073522,0.00197985,0.0001262628,0.0013345139,0.0003745395,0.30824864],"genre_scores_gemma":[0.7022452,0.008643583,0.16942051,0.0036401136,0.0028512497,0.000588511,0.0012446878,0.0006140165,0.110752165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99798965,0.00062477635,0.00011169365,0.00035958385,0.0005439795,0.00037038984],"domain_scores_gemma":[0.9956868,0.0019341996,0.0004885875,0.0003536893,0.0010612304,0.00047541704],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0048782774,0.0015855174,0.0009684744,0.0031123515,0.0020018409,0.0034693684,0.002020844,0.001379109,0.014467115],"category_scores_gemma":[0.01131806,0.00042428277,0.0019262275,0.0019910196,0.0037938699,0.0073986775,0.0042367643,0.005501017,0.0028029804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020591104,0.000008876163,0.00015898944,0.00004683361,0.000008985547,0.000041236344,0.000084000916,0.0010587239,0.00035705464,0.99044144,0.0025984824,0.005174811],"study_design_scores_gemma":[0.0000065368063,0.000022103693,0.0003805451,0.000027537651,0.0000110039055,0.000073088246,0.00007017616,0.013444424,0.0006282136,0.97623426,0.009079665,0.000022459057],"about_ca_topic_score_codex":0.0037944445,"about_ca_topic_score_gemma":0.0034482614,"teacher_disagreement_score":0.014467115,"about_ca_system_score_codex":0.0029432157,"about_ca_system_score_gemma":0.0021082077,"threshold_uncertainty_score":0.048397362},"labels":[],"label_agreement":null},{"id":"W4282975004","doi":"10.1090/proc/16138","title":"On the blow up of a non-local transport equation in compact manifolds","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España; Alexander von Humboldt-Stiftung","keywords":"Class (philosophy); Scalar (mathematics); Mathematics; Pure mathematics; Mathematical analysis; Computer science; Geometry; Artificial intelligence","score_opus":0.04767365670551742,"score_gpt":0.3074828286091898,"score_spread":0.25980917190367236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4282975004","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6158941,0.009069569,0.3071424,0.0037666154,0.0010553026,0.0001864737,0.00021057115,0.00058798306,0.062087018],"genre_scores_gemma":[0.95122415,0.0018729283,0.020619603,0.0004364211,0.0003564881,0.000113027454,0.00017271451,0.00021629996,0.024988374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997602,0.00007393114,0.000018106397,0.000040927913,0.000060792358,0.000046006528],"domain_scores_gemma":[0.9992673,0.000262353,0.000107076354,0.000050737748,0.00009531709,0.00021727291],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00096347625,0.001184038,0.0010960172,0.0013761038,0.0013486872,0.0013058673,0.0007874457,0.0015083877,0.0041850153],"category_scores_gemma":[0.0032672707,0.00029750032,0.0013729942,0.00038704698,0.0024663364,0.0029379758,0.0029340044,0.0020562802,0.00035331765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016967206,0.00007725723,0.0014671155,0.00045809837,0.000089059926,0.0020155646,0.001440617,0.03139149,0.015668547,0.9357341,0.0025138122,0.008974607],"study_design_scores_gemma":[0.00005261646,0.00019171213,0.0020805341,0.00013611068,0.00006856946,0.0007385485,0.00044227185,0.3967083,0.0031365945,0.5914881,0.004882886,0.000073729054],"about_ca_topic_score_codex":0.0015724795,"about_ca_topic_score_gemma":0.0010001255,"teacher_disagreement_score":0.0041850153,"about_ca_system_score_codex":0.0011049039,"about_ca_system_score_gemma":0.00044447277,"threshold_uncertainty_score":0.014000297},"labels":[],"label_agreement":null},{"id":"W4283695005","doi":"10.1090/proc/15899","title":"Random 2-cell embeddings of multistars","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University; H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada; H2020 Marie Skłodowska-Curie Actions; Javna Agencija za Raziskovalno Dejavnost RS; Grantová Agentura České Republiky","keywords":"Algorithm; Type (biology); Annotation; Artificial intelligence; Computer science; Geology","score_opus":0.015471904384249351,"score_gpt":0.2693824678874075,"score_spread":0.25391056350315816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283695005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86665326,0.00043988568,0.10389483,0.0006326909,0.00019993132,0.0001412201,0.0017182126,0.0007768417,0.02554316],"genre_scores_gemma":[0.9543978,0.0002211832,0.027351288,0.00021235915,0.000050351384,0.00017923665,0.0028353562,0.0004455154,0.014306903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992588,0.00020745954,0.000033733424,0.00013702344,0.00019504453,0.00016794706],"domain_scores_gemma":[0.99586356,0.0018550556,0.00042108938,0.00061280414,0.00063837355,0.00060909794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063843647,0.000734387,0.00058307446,0.0012890409,0.00096464035,0.0017184732,0.0010395631,0.0012516695,0.013279653],"category_scores_gemma":[0.006708536,0.00052820065,0.0007032948,0.00071171887,0.001195856,0.002253931,0.0017688207,0.0011381643,0.002370871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017811059,0.00035325324,0.010148363,0.0005793662,0.00014363321,0.001266618,0.00087426766,0.2695102,0.021243647,0.6046542,0.02975581,0.05968951],"study_design_scores_gemma":[0.00013734924,0.0002624532,0.0036186036,0.0001235294,0.00004967998,0.0006393342,0.0008674657,0.5577873,0.010715685,0.41269302,0.013026535,0.00007902874],"about_ca_topic_score_codex":0.001112352,"about_ca_topic_score_gemma":0.0019766826,"teacher_disagreement_score":0.013279653,"about_ca_system_score_codex":0.0009106185,"about_ca_system_score_gemma":0.00038470223,"threshold_uncertainty_score":0.044424832},"labels":[],"label_agreement":null},{"id":"W4283756145","doi":"10.1090/proc/16186","title":"Fake mu’s","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Australian Research Council","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.032429371123978375,"score_gpt":0.3130522019592236,"score_spread":0.28062283083524525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283756145","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026980102,0.005210473,0.03906687,0.031277563,0.011069822,0.00016471231,0.0031890192,0.004134094,0.87890744],"genre_scores_gemma":[0.39056104,0.004157075,0.014844252,0.011475043,0.0023867046,0.00019845332,0.0021687755,0.0020920187,0.5721166],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973884,0.00065335847,0.00013443152,0.0005778871,0.0008315323,0.00041434215],"domain_scores_gemma":[0.9959645,0.0011292095,0.00035556307,0.0015280558,0.00077656703,0.00024598173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022119042,0.0014645974,0.00074863347,0.0016539185,0.0034985829,0.00504005,0.0011719497,0.002807689,0.14594813],"category_scores_gemma":[0.017730827,0.000686596,0.00074788893,0.0016384395,0.0024836846,0.007821038,0.0035622502,0.0027722495,0.052734166],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005313793,0.00007287624,0.0034180505,0.00042465486,0.00009515392,0.0014990586,0.0029957492,0.00061633874,0.0017778357,0.4699146,0.35848436,0.16016999],"study_design_scores_gemma":[0.000024895233,0.000061174,0.0012844236,0.00028220343,0.000051628762,0.0016256855,0.0011629547,0.0011697091,0.0024848746,0.063767776,0.9280329,0.00005177254],"about_ca_topic_score_codex":0.002199164,"about_ca_topic_score_gemma":0.002438864,"teacher_disagreement_score":0.14594813,"about_ca_system_score_codex":0.0020332895,"about_ca_system_score_gemma":0.0010116219,"threshold_uncertainty_score":0},"labels":[],"label_agreement":null},{"id":"W4286239141","doi":"10.1090/proc/16196","title":"The integer homology threshold in 𝑌_{𝑑}(𝑛,𝑝)","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Topological and Geometric Data Analysis","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":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.015233090622855945,"score_gpt":0.250386330098252,"score_spread":0.23515323947539607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4286239141","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2691571,0.0018607139,0.41734838,0.009676595,0.001096127,0.00013478272,0.0018961732,0.0023906466,0.2964395],"genre_scores_gemma":[0.89151627,0.00088296586,0.03824558,0.0021673306,0.0005291807,0.00024864604,0.0017087213,0.0013559201,0.063345425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983486,0.00019404516,0.00006665088,0.00053886115,0.00031645433,0.0005354581],"domain_scores_gemma":[0.99592555,0.0017990487,0.00046536003,0.00038351715,0.00059646886,0.0008300985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001988411,0.00088782364,0.0014004243,0.0023402225,0.0029593024,0.005367177,0.0026084858,0.0018886664,0.032096528],"category_scores_gemma":[0.0104777645,0.00049286144,0.0013761309,0.0009137927,0.004224505,0.008683979,0.0061888266,0.004439913,0.0055758655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006984645,0.00002992438,0.00086403836,0.00008193539,0.000015048773,0.00014997978,0.0002970693,0.002096082,0.00078767986,0.98323613,0.0060288804,0.006343283],"study_design_scores_gemma":[0.000020437741,0.00003190484,0.0010686626,0.00006478626,0.000022509877,0.00027256637,0.00026252106,0.034516327,0.0021938619,0.9517882,0.009723239,0.000035029185],"about_ca_topic_score_codex":0.0034020706,"about_ca_topic_score_gemma":0.0023644294,"teacher_disagreement_score":0.032096528,"about_ca_system_score_codex":0.0031503325,"about_ca_system_score_gemma":0.0015554352,"threshold_uncertainty_score":0.107373595},"labels":[],"label_agreement":null},{"id":"W4293075513","doi":"10.1090/proc/16159","title":"Triangular operator algebras and simultaneous triangularisation","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Operator algebra; Mathematics; Algebra over a field; Compact operator; Operator (biology); Operator norm; Operator theory; Rank (graph theory); Finite-rank operator; Pure mathematics; Norm (philosophy); Compact operator on Hilbert space; Computer science; Combinatorics; Political science","score_opus":0.021718374481520863,"score_gpt":0.30777122678781194,"score_spread":0.28605285230629107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293075513","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3680433,0.0013721237,0.47541386,0.0019235566,0.00037372726,0.000096765165,0.00025670422,0.00044701365,0.15207303],"genre_scores_gemma":[0.9569087,0.0003243626,0.03205829,0.00035656552,0.00024854924,0.00006758695,0.00022820648,0.00006240032,0.009745297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974185,0.00048648153,0.000148958,0.0004864771,0.0009369123,0.00052253954],"domain_scores_gemma":[0.9968451,0.0009825436,0.00037836455,0.0006758799,0.00076006877,0.00035803812],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002124499,0.00034146718,0.0005405709,0.000861128,0.0017091908,0.0023514915,0.0010766125,0.0007612159,0.005603991],"category_scores_gemma":[0.0047763395,0.00027250408,0.0009001434,0.00083194784,0.003558021,0.006358483,0.003354491,0.0017173756,0.0008113304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049858616,0.00001608459,0.00023663628,0.00004044225,0.000008240755,0.00017375236,0.00043599142,0.0006804017,0.0035519775,0.9882671,0.0005263777,0.0060130646],"study_design_scores_gemma":[0.000008726213,0.000028322533,0.00015427996,0.000011690256,0.000008000356,0.00019124812,0.00026202318,0.0053267647,0.0023525266,0.9881748,0.0034668925,0.000014753606],"about_ca_topic_score_codex":0.00088820944,"about_ca_topic_score_gemma":0.0008881552,"teacher_disagreement_score":0.005603991,"about_ca_system_score_codex":0.00070328446,"about_ca_system_score_gemma":0.0005254213,"threshold_uncertainty_score":0.01874727},"labels":[],"label_agreement":null},{"id":"W4293768525","doi":"10.1090/proc/16106","title":"Ramsey theory over partitions III: Strongly Luzin sets and partition relations","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"H2020 European Research Council; Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation","keywords":"Partition (number theory); Mathematics; Ramsey theory; Combinatorics","score_opus":0.018384549583072066,"score_gpt":0.2954668410609177,"score_spread":0.27708229147784563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293768525","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30405354,0.009947943,0.29467538,0.005648225,0.00096601306,0.000046243564,0.00060667907,0.0006628575,0.38339317],"genre_scores_gemma":[0.9526401,0.0012423719,0.018755173,0.00066039286,0.0003762238,0.000051195646,0.00024212177,0.00012185624,0.02591054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992866,0.00023459696,0.000030950956,0.00017640748,0.00015691158,0.000114628856],"domain_scores_gemma":[0.9989654,0.00055356324,0.00008725103,0.00015998121,0.0001429953,0.00009082107],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009938802,0.00040387502,0.0004974605,0.0013635001,0.001506452,0.0038262191,0.00056442263,0.00063173973,0.0044334684],"category_scores_gemma":[0.0022015844,0.00043629884,0.00077971705,0.0012061462,0.004916878,0.004683267,0.0019574612,0.0022333676,0.00063411036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008102717,0.0000019524998,0.000072729716,0.00001297269,0.0000021846324,0.00001292919,0.0001574919,0.0002443627,0.00030318965,0.99725384,0.0005911666,0.0013390731],"study_design_scores_gemma":[0.0000052565956,0.000008947179,0.0003102347,0.000025329322,0.000008458779,0.000047150224,0.00020449507,0.0019785499,0.00062828575,0.98852485,0.008249105,0.000009377688],"about_ca_topic_score_codex":0.0030682292,"about_ca_topic_score_gemma":0.0032574264,"teacher_disagreement_score":0.0044334684,"about_ca_system_score_codex":0.0027203837,"about_ca_system_score_gemma":0.0006829212,"threshold_uncertainty_score":0.0197379},"labels":[],"label_agreement":null},{"id":"W4309126320","doi":"10.1090/proc/16332","title":"Asymmetric Rogers–Ramanujan type identities. I. The Andrews–Uncu conjecture","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Killam Trusts","keywords":"Parenthesis; Mathematics; Philosophy","score_opus":0.02391132489390203,"score_gpt":0.29060705210751886,"score_spread":0.26669572721361684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309126320","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11720515,0.0028231894,0.089373864,0.0059839925,0.0016146621,0.00006543305,0.0002927479,0.00031524748,0.7823258],"genre_scores_gemma":[0.9004867,0.0016390971,0.019529194,0.0015799743,0.0015152124,0.0001057984,0.00022857684,0.00018475197,0.074730836],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99750143,0.00068563176,0.00010010654,0.000328227,0.0009437755,0.0004407335],"domain_scores_gemma":[0.9982564,0.0005683007,0.00023764938,0.00047086584,0.0002881391,0.0001786791],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024838264,0.00078367064,0.00076821423,0.001569812,0.0026551385,0.0033769447,0.0014693674,0.0016014414,0.015402379],"category_scores_gemma":[0.005722976,0.00036360344,0.0010722541,0.001309075,0.004132547,0.006743322,0.00285884,0.0027934627,0.0033855091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004461027,0.0000040594723,0.000041093834,0.00000912428,0.0000012208291,0.00001826234,0.000037615537,0.00013516632,0.00006569494,0.99723995,0.000867675,0.0015756933],"study_design_scores_gemma":[0.0000049265295,0.0000066632547,0.00009596683,0.000011217964,0.000002632654,0.00007855715,0.000043766275,0.0014580144,0.00020107429,0.9936014,0.004488326,0.0000075463463],"about_ca_topic_score_codex":0.001276812,"about_ca_topic_score_gemma":0.0007577513,"teacher_disagreement_score":0.015402379,"about_ca_system_score_codex":0.0021454399,"about_ca_system_score_gemma":0.0009735785,"threshold_uncertainty_score":0.05152607},"labels":[],"label_agreement":null},{"id":"W4310415770","doi":"10.1090/proc/16346","title":"Orthogonal unitary bases and a subfactor conjecture","year":2022,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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 Guelph; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Conjecture; TRACE (psycholinguistics); Mathematics; Artificial intelligence; Computer science; Combinatorics; Philosophy","score_opus":0.026068294283916008,"score_gpt":0.306158701276381,"score_spread":0.280090406992465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4310415770","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48784468,0.0007546908,0.20540778,0.0046823258,0.00079357467,0.00009246184,0.00054759864,0.001229231,0.29864764],"genre_scores_gemma":[0.9685101,0.00024079726,0.010544323,0.00045697932,0.00018882848,0.00003937053,0.00024121215,0.000110914894,0.019667534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991443,0.0002010477,0.000037276834,0.00014955964,0.00021412992,0.0002536474],"domain_scores_gemma":[0.99933606,0.00013355921,0.00005789407,0.00018271281,0.00015320907,0.00013653193],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007349314,0.0004708006,0.00043197133,0.0005676056,0.001279781,0.0018334629,0.00066511444,0.0005953591,0.012690848],"category_scores_gemma":[0.0018330975,0.00023688651,0.00073616754,0.0005957985,0.0023231592,0.0030941644,0.0021115236,0.0012771417,0.0017569102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021560261,0.000015109562,0.00012290826,0.000009931515,0.0000025650281,0.0000316893,0.00010730415,0.00020248536,0.00041962301,0.9944174,0.0013338778,0.003315513],"study_design_scores_gemma":[0.0000100583675,0.0000130169165,0.00010364367,0.000007394068,0.000002545755,0.00004014773,0.000103577266,0.0031348476,0.0006284541,0.99305975,0.0028893317,0.000007287859],"about_ca_topic_score_codex":0.0026315837,"about_ca_topic_score_gemma":0.001436382,"teacher_disagreement_score":0.012690848,"about_ca_system_score_codex":0.0010418757,"about_ca_system_score_gemma":0.0007888479,"threshold_uncertainty_score":0.042455077},"labels":[],"label_agreement":null},{"id":"W4311486556","doi":"10.1090/proc/16355","title":"Definable Kőnig theorems","year":2022,"lang":"fi","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Achievement Rewards for College Scientists Foundation","keywords":"Mathematics; Pure mathematics","score_opus":0.015932063037295496,"score_gpt":0.27096455379619117,"score_spread":0.25503249075889567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311486556","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.053254966,0.0040614223,0.44888258,0.005646825,0.001280439,0.0002223667,0.004938265,0.004948528,0.4767646],"genre_scores_gemma":[0.62858516,0.0039790855,0.18076336,0.004149479,0.0009568389,0.0007579801,0.010348969,0.0021153835,0.16834378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969214,0.0006700405,0.0003167617,0.0008643372,0.0007686112,0.000458974],"domain_scores_gemma":[0.997528,0.0010990584,0.0001467831,0.00035693112,0.00072036503,0.00014891085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002524871,0.0018619115,0.0013181795,0.0030026753,0.0027309617,0.005851844,0.0018533258,0.0016194816,0.022527631],"category_scores_gemma":[0.0043554725,0.0008738813,0.0028159248,0.0019376386,0.0028045867,0.009670755,0.005743759,0.00482108,0.0070803724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019147305,0.000022714688,0.00015657317,0.000090057765,0.000022988625,0.000105993626,0.00023800605,0.00039893689,0.00046686459,0.9841769,0.005374437,0.008927401],"study_design_scores_gemma":[0.000021018233,0.00001942466,0.00019429265,0.000042313975,0.000027707658,0.00013296519,0.00016669079,0.0040351525,0.0012330887,0.9568416,0.037270293,0.000015559199],"about_ca_topic_score_codex":0.0022158078,"about_ca_topic_score_gemma":0.0030097093,"teacher_disagreement_score":0.022527631,"about_ca_system_score_codex":0.0039012101,"about_ca_system_score_gemma":0.0013040452,"threshold_uncertainty_score":0.075362444},"labels":[],"label_agreement":null},{"id":"W4313204017","doi":"10.1090/proc/16386","title":"Galvin’s problem in higher dimensions","year":2022,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Computer science","score_opus":0.025325421746641534,"score_gpt":0.2823475923615769,"score_spread":0.2570221706149354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313204017","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08533611,0.0057642693,0.30920225,0.026380872,0.0033485407,0.000108307664,0.0012984958,0.0010637972,0.5674974],"genre_scores_gemma":[0.7879844,0.003148832,0.07399395,0.0044021294,0.0024171637,0.00029829334,0.0013028787,0.0007883864,0.1256641],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979273,0.0006500696,0.00010348081,0.0004440259,0.00045813742,0.0004169434],"domain_scores_gemma":[0.99748105,0.0013639871,0.00015941067,0.00043918093,0.00035273228,0.00020366469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026677789,0.0012783166,0.0013721093,0.0023528703,0.0035943012,0.0061404547,0.0020209518,0.0031140978,0.018049976],"category_scores_gemma":[0.009415862,0.0005585156,0.002478064,0.0022477391,0.006584109,0.01020038,0.0063787093,0.007415382,0.002908535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011307321,0.0000053529857,0.00008144339,0.000026222453,0.00000663466,0.000023511035,0.0001033392,0.0004694256,0.000044993187,0.99391264,0.0027195776,0.002595611],"study_design_scores_gemma":[0.000007780639,0.0000033845565,0.000037498674,0.000010216081,0.0000027422282,0.000016933698,0.00003990621,0.0015541525,0.000059253744,0.9935068,0.004756892,0.000004434771],"about_ca_topic_score_codex":0.0031114435,"about_ca_topic_score_gemma":0.002869387,"teacher_disagreement_score":0.018049976,"about_ca_system_score_codex":0.0045393235,"about_ca_system_score_gemma":0.0020431518,"threshold_uncertainty_score":0.0603832},"labels":[],"label_agreement":null},{"id":"W4313592058","doi":"10.1090/proc/16383","title":"Exponentially decaying solutions for models with delayed and advanced arguments: Nonlinear effects in linear differential equations","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Mathematics; Mathematical analysis; Bounded deformation; Nonlinear system; Exponential growth; Differential equation; Homogeneous differential equation; Linear differential equation; Lebesgue integration; Scalar (mathematics); Real line; Applied mathematics; Ordinary differential equation; Uniform boundedness; Differential algebraic equation; Physics","score_opus":0.01581096719032811,"score_gpt":0.24214564707680328,"score_spread":0.22633467988647515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313592058","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17649749,0.0013900235,0.8093181,0.0010057694,0.00012426636,0.000070345886,0.00006238431,0.00010733363,0.0114243105],"genre_scores_gemma":[0.9450412,0.0007727008,0.040892202,0.00023401302,0.00009996007,0.00015229883,0.000060822735,0.000044568264,0.012702287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996146,0.00013443535,0.00002630469,0.000060847822,0.00011465325,0.000049133978],"domain_scores_gemma":[0.9987834,0.00062879245,0.00021815077,0.00006597412,0.0002029818,0.00010067089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001477025,0.0012712054,0.0008014823,0.000790312,0.00042709106,0.0013825209,0.0011381014,0.0017819623,0.0014814953],"category_scores_gemma":[0.0043915673,0.00042880911,0.0009606969,0.00039378143,0.0014453467,0.0022235708,0.0023839786,0.0016838891,0.00019450484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023479637,0.00010202154,0.0014401394,0.00036277456,0.00009688008,0.0008638723,0.0005488233,0.26893368,0.05487385,0.66121954,0.00076041213,0.010563169],"study_design_scores_gemma":[0.000029477726,0.000093733186,0.00016906812,0.000030024794,0.000027284781,0.00009514255,0.00007327332,0.9340848,0.003864203,0.060217433,0.0012896608,0.000025838353],"about_ca_topic_score_codex":0.0014843902,"about_ca_topic_score_gemma":0.0010412273,"teacher_disagreement_score":0.0017819623,"about_ca_system_score_codex":0.0008798631,"about_ca_system_score_gemma":0.0005617563,"threshold_uncertainty_score":0.007811308},"labels":[],"label_agreement":null},{"id":"W4318575723","doi":"10.1090/proc/16249","title":"Constructing free products of cyclic subgroups inside the group of units of integral group rings","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Uniwersytet Warszawski","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science","score_opus":0.05512402122048914,"score_gpt":0.304336732312568,"score_spread":0.24921271109207888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318575723","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4047352,0.0014291649,0.44710785,0.0010643963,0.0006084462,0.00017546359,0.0004634039,0.0021661047,0.14224996],"genre_scores_gemma":[0.84526646,0.0006107937,0.11832626,0.00025920113,0.00030821125,0.00009158004,0.00060870085,0.0008697632,0.033658955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932325,0.00022471136,0.00003819042,0.00012730007,0.00017853637,0.00010796709],"domain_scores_gemma":[0.9994185,0.00021401819,0.000053702435,0.00013974243,0.00008380993,0.000090288195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000878604,0.0006300813,0.0005682489,0.0009845917,0.00092201366,0.0016972465,0.0007770235,0.00043864126,0.009210997],"category_scores_gemma":[0.001782562,0.0004486792,0.0009983891,0.00065980986,0.0022183014,0.0031272275,0.0027106006,0.0013302617,0.0026937413],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008161638,0.000028365237,0.000388425,0.00008503726,0.000014946759,0.00018317896,0.0014400468,0.0011156684,0.0034055966,0.9676985,0.002722541,0.022836028],"study_design_scores_gemma":[0.000042447708,0.00008208348,0.0002564489,0.000030720366,0.000027531201,0.00021393313,0.0004040988,0.004516833,0.010307281,0.95539796,0.028695056,0.000025714011],"about_ca_topic_score_codex":0.0005665835,"about_ca_topic_score_gemma":0.000557886,"teacher_disagreement_score":0.009210997,"about_ca_system_score_codex":0.0006483235,"about_ca_system_score_gemma":0.0005236294,"threshold_uncertainty_score":0.030813873},"labels":[],"label_agreement":null},{"id":"W4318774077","doi":"10.1090/proc/16404","title":"Large subsets of Euclidean space avoiding infinite arithmetic progressions","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; McGill University; Centre for Research on Brain Language and Music","funders":"Centre for Research on Brain, Language and Music","keywords":"Algorithm; Annotation; Type (biology); Artificial intelligence; Computer science; Mathematics; Biology","score_opus":0.026420814293441487,"score_gpt":0.31058442612498544,"score_spread":0.2841636118315439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318774077","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.739355,0.0014271077,0.19350407,0.0011930455,0.00017349135,0.000055135464,0.0007133919,0.0005294014,0.06304941],"genre_scores_gemma":[0.951442,0.0005527555,0.023825714,0.00021439436,0.0002210652,0.00012546296,0.0012869645,0.00016005582,0.022171585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986212,0.00030737228,0.00010218689,0.00033117202,0.0004576398,0.00018045428],"domain_scores_gemma":[0.99543506,0.002338012,0.00060601474,0.0003557737,0.0007269278,0.00053820753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010486266,0.0009281324,0.00092689606,0.0022718224,0.0012712629,0.0032013326,0.0010749584,0.000666547,0.00607038],"category_scores_gemma":[0.0065716477,0.00045776446,0.0010911993,0.00085280923,0.0024765297,0.003854501,0.0025103374,0.0018017996,0.001049719],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010443629,0.000020348025,0.00080568076,0.00009471725,0.00002479827,0.0002552001,0.0003376454,0.0040046205,0.0025735856,0.9859037,0.0011552902,0.004720039],"study_design_scores_gemma":[0.00005285511,0.00014473264,0.0023304473,0.00007704365,0.000033770506,0.00045283526,0.00038566414,0.04404796,0.003993482,0.93977475,0.008651258,0.00005516694],"about_ca_topic_score_codex":0.0012929154,"about_ca_topic_score_gemma":0.0011010976,"teacher_disagreement_score":0.00607038,"about_ca_system_score_codex":0.0015555981,"about_ca_system_score_gemma":0.0005203191,"threshold_uncertainty_score":0.020307422},"labels":[],"label_agreement":null},{"id":"W4318775791","doi":"10.1090/proc/16419","title":"On the asymptotic Plateau problem in hyperbolic space","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.020620220870400156,"score_gpt":0.25930711507294385,"score_spread":0.2386868942025437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318775791","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1907939,0.0048377956,0.67581606,0.0070671677,0.0011828367,0.00017239896,0.00042941663,0.0009435452,0.11875688],"genre_scores_gemma":[0.8312528,0.0028100407,0.08257982,0.0015911487,0.0014493205,0.00025879926,0.0011619487,0.00088962377,0.07800649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992021,0.00029118825,0.00003841286,0.00013144762,0.00017730636,0.00015960365],"domain_scores_gemma":[0.9980919,0.00084582996,0.00014875493,0.0001558855,0.0004160211,0.0003415533],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019481472,0.001230026,0.0010523916,0.0016974865,0.0015183513,0.002062091,0.0019253377,0.0021687185,0.009530053],"category_scores_gemma":[0.009748014,0.00038418878,0.0014536905,0.0008044549,0.0029148646,0.00500877,0.0044670375,0.0031737236,0.0014727475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006759669,0.000042324737,0.0010781179,0.00023224502,0.000034235498,0.00029165746,0.00034013216,0.01637283,0.0010527482,0.96273506,0.005438215,0.0123148],"study_design_scores_gemma":[0.000028719594,0.0000700763,0.00052074273,0.000075824544,0.000017841096,0.00018468985,0.00030394184,0.1555413,0.0006253238,0.8368804,0.005719505,0.000031782114],"about_ca_topic_score_codex":0.005145998,"about_ca_topic_score_gemma":0.0036192893,"teacher_disagreement_score":0.009530053,"about_ca_system_score_codex":0.0014126315,"about_ca_system_score_gemma":0.0013999802,"threshold_uncertainty_score":0.031881154},"labels":[],"label_agreement":null},{"id":"W4318816522","doi":"10.1090/proc/16428","title":"On products of polynomials II","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trinity College","funders":"","keywords":"Algorithm; Mathematics; Computer science","score_opus":0.014483479614989329,"score_gpt":0.24642842321468778,"score_spread":0.23194494359969844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318816522","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.041945554,0.0050577144,0.56367016,0.0029172527,0.0047446,0.00009810753,0.00087260426,0.0013186693,0.37937534],"genre_scores_gemma":[0.6716333,0.005329844,0.13441606,0.0024672707,0.0039677466,0.0002835342,0.0021389297,0.0027386746,0.17702457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978563,0.0004757274,0.00011031659,0.00058194576,0.0005860264,0.00038969447],"domain_scores_gemma":[0.99826187,0.0005761734,0.0001858406,0.00032606086,0.0004849033,0.00016505897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015906646,0.0015319795,0.00080309843,0.0018152092,0.0022353576,0.0037453778,0.001089209,0.00083391933,0.026258545],"category_scores_gemma":[0.005788569,0.0007305559,0.001677673,0.0016796867,0.004144084,0.0063104406,0.0048533925,0.0037612393,0.011017737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042579806,0.000012747631,0.00020017609,0.00008693242,0.000012451608,0.00017306836,0.00051858043,0.0006048739,0.0010023348,0.9706434,0.011957837,0.014745061],"study_design_scores_gemma":[0.0000113293,0.000045116507,0.0002632505,0.00005012169,0.00001798632,0.00031418414,0.00016146322,0.0034651428,0.0016521184,0.9365671,0.05743176,0.000020337522],"about_ca_topic_score_codex":0.0016619033,"about_ca_topic_score_gemma":0.0011814508,"teacher_disagreement_score":0.026258545,"about_ca_system_score_codex":0.0013861511,"about_ca_system_score_gemma":0.00064505514,"threshold_uncertainty_score":0.08784366},"labels":[],"label_agreement":null},{"id":"W4319736325","doi":"10.1090/proc/16260","title":"On the Koebe quarter theorem for trinomials with fold symmetry","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Trinomial; Mathematics; Fold (higher-order function); Quarter (Canadian coin); Combinatorics; Symmetry (geometry); Computer science; Geometry; History; Programming language; Archaeology","score_opus":0.026913366467514434,"score_gpt":0.2761790578974135,"score_spread":0.24926569142989904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319736325","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36690173,0.005737997,0.35483846,0.0064588673,0.0011016695,0.00009565923,0.0009256768,0.00090594986,0.26303393],"genre_scores_gemma":[0.9383968,0.0022870598,0.028608574,0.0008349183,0.0007462784,0.00011513012,0.0006243482,0.00038716965,0.027999751],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998919,0.0002775931,0.00005773932,0.00021872914,0.00027005814,0.0002568475],"domain_scores_gemma":[0.9971359,0.0015511757,0.00029943255,0.0004183881,0.00033006698,0.00026501753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001823742,0.00066198636,0.0010241463,0.0021114121,0.0016147485,0.0026642797,0.0010923517,0.0011560285,0.017817218],"category_scores_gemma":[0.010091077,0.0004128231,0.0010647796,0.0011371657,0.003164858,0.0071338904,0.0025544735,0.0027533756,0.0029134692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004734846,0.000012001687,0.00028595407,0.0000546799,0.000005635215,0.00005332448,0.00009051753,0.0012370553,0.0004193637,0.9862294,0.00273755,0.008827132],"study_design_scores_gemma":[0.0000081809385,0.000017764776,0.00036095426,0.000018433253,0.0000049885994,0.00009427403,0.00006145478,0.006327609,0.0004421174,0.98916304,0.003483406,0.000017786491],"about_ca_topic_score_codex":0.001865782,"about_ca_topic_score_gemma":0.0010246641,"teacher_disagreement_score":0.017817218,"about_ca_system_score_codex":0.001451317,"about_ca_system_score_gemma":0.0006806938,"threshold_uncertainty_score":0.059604585},"labels":[],"label_agreement":null},{"id":"W4353109551","doi":"10.1090/proc/16455","title":"Remarks on the anisotropic Calderón problem","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods in inverse problems","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":"Fields Institute for Research in Mathematical Sciences","funders":"Academy of Finland; Fields Institute for Research in Mathematical Sciences","keywords":"Uniqueness; Convexity; Anisotropy; Mathematics; Mathematical analysis; Dirichlet problem; Pure mathematics; Dirichlet distribution; Zero (linguistics); Range (aeronautics); Inverse; Geometry; Boundary value problem; Physics; Philosophy","score_opus":0.0531131508194001,"score_gpt":0.32840846799861184,"score_spread":0.27529531717921174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4353109551","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08304777,0.008417623,0.49079928,0.06047755,0.005647464,0.00014531433,0.000790839,0.0005624178,0.35011175],"genre_scores_gemma":[0.7808884,0.0060583684,0.11663159,0.010974903,0.0038651943,0.000244505,0.00046586583,0.00050452445,0.080366746],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992669,0.00022016294,0.00003086911,0.00014935677,0.00024408264,0.000088659224],"domain_scores_gemma":[0.99808806,0.0009202809,0.00015609109,0.00016988476,0.00044712724,0.00021855698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018908116,0.000946625,0.0006536377,0.0013104567,0.0013198648,0.00094480807,0.0011908918,0.0014997142,0.012430129],"category_scores_gemma":[0.004224304,0.00021617954,0.0009487067,0.00034824503,0.003153035,0.0029867399,0.0023263742,0.003370405,0.0011841034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059322105,0.000021268419,0.00042322703,0.00020681591,0.000015341628,0.00065423123,0.00030493236,0.0040015173,0.0035798354,0.97045624,0.011723576,0.008553772],"study_design_scores_gemma":[0.000023135906,0.000061466475,0.0010556449,0.00014060734,0.000016429816,0.00077083183,0.0005483988,0.0152658485,0.0034854743,0.917278,0.061298896,0.00005538362],"about_ca_topic_score_codex":0.0020514647,"about_ca_topic_score_gemma":0.001403179,"teacher_disagreement_score":0.012430129,"about_ca_system_score_codex":0.0005398662,"about_ca_system_score_gemma":0.0003420496,"threshold_uncertainty_score":0.041582942},"labels":[],"label_agreement":null},{"id":"W4365144154","doi":"10.1090/proc/16494","title":"Frobenius monoidal functors from (co)Hopf adjunctions","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Algorithm; Functor; Annotation; Computer science; Artificial intelligence; Mathematics; Discrete mathematics","score_opus":0.025987379441889197,"score_gpt":0.2893426883205733,"score_spread":0.2633553088786841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4365144154","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11337936,0.0014960978,0.3557591,0.0022196076,0.0015002025,0.00013770169,0.001423732,0.003982155,0.5201021],"genre_scores_gemma":[0.7166586,0.0014732936,0.07450115,0.0011204311,0.00096267543,0.00022737033,0.0016394809,0.0019315871,0.20148544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912876,0.0001305916,0.00006235986,0.00021255935,0.00028428042,0.00018138837],"domain_scores_gemma":[0.99895954,0.00027633653,0.00006909138,0.00018108978,0.0003737289,0.00014023992],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010784535,0.000722844,0.00041007673,0.0024190133,0.0020825784,0.0033099977,0.0005931731,0.0008565754,0.02039465],"category_scores_gemma":[0.0021642714,0.0004983176,0.00093641266,0.0012486747,0.002227121,0.0071033365,0.0035744132,0.0018949657,0.0058428072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014516767,0.000008030203,0.00009870948,0.00003303577,0.0000046256287,0.00007980035,0.0004238365,0.0001599964,0.0010585837,0.98414457,0.0031190305,0.010855384],"study_design_scores_gemma":[0.000014965978,0.000018388255,0.0004912208,0.000041225718,0.000014973003,0.0002476574,0.00033050048,0.0017522085,0.0037721365,0.9095911,0.08369566,0.000029959328],"about_ca_topic_score_codex":0.0025845228,"about_ca_topic_score_gemma":0.0023684606,"teacher_disagreement_score":0.02039465,"about_ca_system_score_codex":0.0021858758,"about_ca_system_score_gemma":0.0008653826,"threshold_uncertainty_score":0.06822693},"labels":[],"label_agreement":null},{"id":"W4366389846","doi":"10.1090/proc/16458","title":"An algebraic treatment of the Pastro polynomials on the real line","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Real line; Semantics (computer science); Relation (database); Type (biology); Operator (biology); Computer science; Algebra over a field; Mathematics; Artificial intelligence; Discrete mathematics; Database; Pure mathematics; Chemistry; Programming language","score_opus":0.01915839387688607,"score_gpt":0.2885426357454022,"score_spread":0.2693842418685161,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366389846","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1094624,0.0025005338,0.64588195,0.0028138733,0.001156583,0.000059068392,0.00020568368,0.0002892616,0.2376306],"genre_scores_gemma":[0.83080244,0.001960956,0.094566084,0.00057873013,0.00093190727,0.00007149283,0.0001411957,0.00023967905,0.07070758],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996288,0.00010796508,0.000016264978,0.00006349458,0.00012381493,0.000059741462],"domain_scores_gemma":[0.9996915,0.00008589914,0.00005594251,0.000063043604,0.00006754116,0.000036165628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005809541,0.0006059671,0.0003531269,0.00095944887,0.00085104245,0.0015899955,0.0007150951,0.0006322053,0.006942451],"category_scores_gemma":[0.001261467,0.00019041605,0.0006150637,0.0007764073,0.00174091,0.002325177,0.0009164136,0.0017209208,0.0013524295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055340383,0.000004589901,0.000021484213,0.00001180292,9.0981024e-7,0.000034316192,0.000059076883,0.0010726684,0.00057726644,0.99504435,0.0004676077,0.0027004676],"study_design_scores_gemma":[0.000007360278,0.00003639096,0.000099975136,0.00001937186,0.0000033911936,0.00020742096,0.00011702419,0.03851567,0.0009739707,0.94513136,0.014870866,0.00001716332],"about_ca_topic_score_codex":0.0009031421,"about_ca_topic_score_gemma":0.0008194818,"teacher_disagreement_score":0.006942451,"about_ca_system_score_codex":0.0009348134,"about_ca_system_score_gemma":0.0005207614,"threshold_uncertainty_score":0.02322483},"labels":[],"label_agreement":null},{"id":"W4376878152","doi":"10.1090/proc/16536","title":"Existence and stability of bifurcating solution of a chemotaxis model","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Stability (learning theory); Chemotaxis; Mathematics; Applied mathematics; Computer science; Medicine; Receptor; Internal medicine","score_opus":0.054275107390803906,"score_gpt":0.3031117684462222,"score_spread":0.24883666105541827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376878152","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.632625,0.0020955931,0.32281667,0.002754889,0.00016797912,0.00015230804,0.00040299827,0.00039087917,0.038593706],"genre_scores_gemma":[0.975972,0.00063787244,0.013362216,0.00019308712,0.00004131823,0.00018518534,0.00017023555,0.00005005403,0.009388054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974924,0.000069140195,0.000012661385,0.000062442465,0.000046666693,0.000059783084],"domain_scores_gemma":[0.99926037,0.00029510102,0.00014995408,0.000033733315,0.00014349152,0.00011731481],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005430893,0.00073842856,0.0007406934,0.0014418282,0.0011855892,0.0012454322,0.0008476105,0.0016003768,0.0028109283],"category_scores_gemma":[0.0026227876,0.0003116573,0.0010306721,0.00051184255,0.0012039584,0.00094345654,0.0017174003,0.0009476638,0.00040934907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022446529,0.00008803568,0.0065166396,0.00034949282,0.00014113805,0.0013590243,0.0009800838,0.33205917,0.052936804,0.5868688,0.004826475,0.01364976],"study_design_scores_gemma":[0.000035148994,0.000054214146,0.0007724008,0.00003786837,0.000033115357,0.00016673369,0.00015548538,0.92354286,0.0022016037,0.07161062,0.0013507194,0.00003916714],"about_ca_topic_score_codex":0.0050164494,"about_ca_topic_score_gemma":0.0016850043,"teacher_disagreement_score":0.0050164494,"about_ca_system_score_codex":0.0013485985,"about_ca_system_score_gemma":0.0014731606,"threshold_uncertainty_score":0.00997448},"labels":[],"label_agreement":null},{"id":"W4377042803","doi":"10.1090/proc/16533","title":"Bounds for orders of zeros of a class of Eisenstein series and their applications on dual pairs of eta quotients","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","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":"Northwestern Polytechnic; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Mathematics; Biology","score_opus":0.023253522371473635,"score_gpt":0.29044673300547885,"score_spread":0.2671932106340052,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377042803","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.379309,0.005433412,0.29903573,0.005586892,0.0017751321,0.00014634292,0.0009505087,0.001196256,0.30656675],"genre_scores_gemma":[0.92285126,0.0022981507,0.031548303,0.00046211254,0.0013376063,0.00020508251,0.0005853788,0.00061643537,0.040095698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984407,0.0003790229,0.00011020039,0.00031490202,0.0004039872,0.00035116292],"domain_scores_gemma":[0.9926885,0.004008265,0.0006389659,0.0005092663,0.00086407823,0.0012908384],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003307463,0.0017436318,0.0011292638,0.007181069,0.0020488335,0.00513135,0.0018607501,0.0011810664,0.019338356],"category_scores_gemma":[0.0129371155,0.0006212708,0.001309615,0.0019917844,0.0038011358,0.008928882,0.0036757926,0.0050098132,0.003444097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001150242,0.00003791027,0.0008135502,0.00009545724,0.000013333393,0.00009647981,0.00027101897,0.001361929,0.0007071702,0.98472553,0.0020165779,0.009746067],"study_design_scores_gemma":[0.000019682548,0.0000442843,0.0007087826,0.00010361835,0.000023189144,0.00017100894,0.0001513702,0.014624102,0.0014591913,0.9765138,0.006141694,0.00003929415],"about_ca_topic_score_codex":0.0011055324,"about_ca_topic_score_gemma":0.0011688805,"teacher_disagreement_score":0.019338356,"about_ca_system_score_codex":0.0028451493,"about_ca_system_score_gemma":0.00076475536,"threshold_uncertainty_score":0.06469327},"labels":[],"label_agreement":null},{"id":"W4377989405","doi":"10.1090/proc/16543","title":"Cotorsion of anti-cyclotomic Selmer groups on average","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Carbohydrate Chemistry and Synthesis","field":"Chemistry","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Annotation; Algorithm; Semantics (computer science); Prime (order theory); Type (biology); Computer science; Mathematics; Quadratic equation; Artificial intelligence; Combinatorics; Geometry; Biology; Programming language","score_opus":0.01166803370254698,"score_gpt":0.23347251451585993,"score_spread":0.22180448081331294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377989405","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9317099,0.00048998883,0.03646279,0.0006124411,0.0001248631,0.000028021004,0.00043430296,0.0005718045,0.029565986],"genre_scores_gemma":[0.98511094,0.0002920641,0.00507346,0.00008455368,0.00014959772,0.000049039998,0.00044530805,0.0001469305,0.008648121],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990984,0.00014587371,0.000045459463,0.00027947625,0.00018270333,0.0002480487],"domain_scores_gemma":[0.99616796,0.0015239056,0.0006552105,0.0005291573,0.0004114965,0.00071226753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009815267,0.0007691456,0.0007369867,0.0030236146,0.0015913546,0.0024655142,0.001141209,0.0007642203,0.017098559],"category_scores_gemma":[0.006002028,0.0003116546,0.0007676416,0.0011762746,0.0022560863,0.0044180825,0.0017880755,0.0012036441,0.0016149614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005718062,0.00012695594,0.0131781595,0.0001716443,0.00006098864,0.00048473795,0.000977424,0.010046116,0.0075222063,0.9239652,0.004967671,0.037927072],"study_design_scores_gemma":[0.000045841603,0.00024097864,0.008383965,0.000094928866,0.000057132573,0.00086544524,0.00064892555,0.054954294,0.009244786,0.91647774,0.008907707,0.00007813656],"about_ca_topic_score_codex":0.0012673464,"about_ca_topic_score_gemma":0.0013000922,"teacher_disagreement_score":0.017098559,"about_ca_system_score_codex":0.0010657731,"about_ca_system_score_gemma":0.0004688598,"threshold_uncertainty_score":0.057200313},"labels":[],"label_agreement":null},{"id":"W4377989901","doi":"10.1090/proc/16548","title":"Classical freeness of orthosymplectic affine vertex superalgebras","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Vertex (graph theory); Affine transformation; Mathematics; Algebra over a field; Pure mathematics; Discrete mathematics; Graph","score_opus":0.025402161758185857,"score_gpt":0.28729181488128225,"score_spread":0.26188965312309637,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4377989901","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79459864,0.0013778481,0.07900177,0.0016238859,0.0003519247,0.000043159645,0.00027219087,0.0002732748,0.12245733],"genre_scores_gemma":[0.9880846,0.00022133022,0.003782046,0.00015208467,0.00013572563,0.000013436978,0.00010569506,0.000037332524,0.0074678585],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924076,0.00014695113,0.000047078232,0.00017754437,0.00024764743,0.00014010773],"domain_scores_gemma":[0.99894315,0.0003195039,0.0001581185,0.000115761,0.00025633344,0.00020703713],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008218051,0.00040739094,0.00041598064,0.0014081522,0.0016806809,0.001983302,0.0008149379,0.00053924415,0.0058402517],"category_scores_gemma":[0.0017755073,0.00029218986,0.00073310256,0.0005339452,0.0042942674,0.0036732312,0.002094204,0.001575359,0.0005746905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012533472,0.0000069857006,0.00026477082,0.000016333079,0.0000047203375,0.000062110754,0.00016447522,0.00029349944,0.0006589859,0.99710673,0.0002704527,0.0011383471],"study_design_scores_gemma":[0.000007717462,0.000018534867,0.00034218558,0.000008657807,0.000007246766,0.000096709104,0.00015045702,0.003616724,0.0012285145,0.99324244,0.0012687187,0.000011965629],"about_ca_topic_score_codex":0.0019655817,"about_ca_topic_score_gemma":0.0015803342,"teacher_disagreement_score":0.0058402517,"about_ca_system_score_codex":0.0011095352,"about_ca_system_score_gemma":0.0006659828,"threshold_uncertainty_score":0.019537568},"labels":[],"label_agreement":null},{"id":"W4382394893","doi":"10.1090/proc/16591","title":"𝑝-adic interpolation of orbits under rational maps","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Interpolation (computer graphics); Mathematics; Pure mathematics; Applied mathematics; Computer science; Artificial intelligence; Motion (physics)","score_opus":0.030900991919268917,"score_gpt":0.311318694882762,"score_spread":0.28041770296349305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4382394893","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30707285,0.0013985345,0.21625519,0.0022691693,0.001019467,0.00008585056,0.0012931617,0.0017492456,0.46885654],"genre_scores_gemma":[0.8627454,0.0010770661,0.031704057,0.00034362747,0.0005684976,0.00005651006,0.0011158286,0.0006113858,0.10177754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992161,0.00014016281,0.000038041802,0.00017060571,0.00026308311,0.00017202874],"domain_scores_gemma":[0.9992379,0.00022424497,0.00009016898,0.000119590586,0.00021570877,0.00011240197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007757927,0.00064570433,0.00060015125,0.0018464247,0.0011871499,0.002446052,0.00057669857,0.00047118674,0.012639807],"category_scores_gemma":[0.0019882766,0.00030600931,0.00097356184,0.0010072533,0.0019454678,0.002882569,0.001911763,0.0019475261,0.0032387374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008996999,0.0000162803,0.0002889977,0.000050354938,0.000008714591,0.00009833364,0.00029965898,0.0011952992,0.00091697084,0.97977394,0.003060265,0.014201211],"study_design_scores_gemma":[0.000037186768,0.00006392781,0.00081727304,0.00004048846,0.00001964674,0.00017749768,0.0002984135,0.008419236,0.0029379532,0.9525218,0.034638304,0.000028271863],"about_ca_topic_score_codex":0.002532625,"about_ca_topic_score_gemma":0.0019371695,"teacher_disagreement_score":0.012639807,"about_ca_system_score_codex":0.0021406403,"about_ca_system_score_gemma":0.00071407977,"threshold_uncertainty_score":0.04228443},"labels":[],"label_agreement":null},{"id":"W4385324570","doi":"10.1090/proc/16610","title":"The Fourier transform in weighted rearrangement invariant spaces","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Narodowe Centrum Nauki","keywords":"Algorithm; Annotation; Bounded function; Artificial intelligence; Computer science; Mathematics; Mathematical analysis","score_opus":0.03191397601731404,"score_gpt":0.28707958309366743,"score_spread":0.2551656070763534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385324570","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.093748465,0.0012247448,0.8512218,0.0007786296,0.00038976842,0.000037330316,0.000320549,0.0006527753,0.05162586],"genre_scores_gemma":[0.8170782,0.0020357328,0.11645317,0.00046772492,0.00073843217,0.00014819816,0.0008046283,0.0011493005,0.06112468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99899286,0.00025130005,0.000047947553,0.00021219242,0.00033835185,0.00015728925],"domain_scores_gemma":[0.99871254,0.0005203825,0.00020576768,0.00018535674,0.00025026154,0.00012573169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011161561,0.0010389581,0.00052616856,0.0023093435,0.0006093491,0.0024671168,0.00090688537,0.0007680064,0.012269455],"category_scores_gemma":[0.0046361256,0.0003001839,0.0008366422,0.0013476812,0.002469089,0.0043521654,0.0018323691,0.0016944944,0.0034063966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054196753,0.00001598872,0.00012917898,0.000056502136,0.000010481211,0.00014221185,0.00016946948,0.0043831537,0.0029810292,0.9695197,0.001829424,0.020708853],"study_design_scores_gemma":[0.000013038189,0.00006235524,0.00043987858,0.000031365584,0.000009721359,0.0002555278,0.00013501616,0.06480241,0.004239672,0.9213603,0.008614421,0.00003630004],"about_ca_topic_score_codex":0.0015849182,"about_ca_topic_score_gemma":0.00081767293,"teacher_disagreement_score":0.012269455,"about_ca_system_score_codex":0.0009627793,"about_ca_system_score_gemma":0.00054955063,"threshold_uncertainty_score":0.041045427},"labels":[],"label_agreement":null},{"id":"W4385502027","doi":"10.1090/proc/16690","title":"The excellence of function fields of conics","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Excellence; Conic section; Function (biology); Mathematics; Philosophy; Geometry; Epistemology; Biology; Cell biology","score_opus":0.021909645171049145,"score_gpt":0.27617781093079685,"score_spread":0.2542681657597477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385502027","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48669454,0.0019248339,0.10275868,0.0037601877,0.00046708432,0.000048232152,0.00031191294,0.00049202895,0.40354243],"genre_scores_gemma":[0.9656556,0.0005376858,0.008724777,0.00021575361,0.00027912785,0.00001971932,0.000112231,0.000073900264,0.024381163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992072,0.00020525679,0.000039356302,0.00017994457,0.00018603628,0.00018223577],"domain_scores_gemma":[0.9987802,0.00036163378,0.00011116405,0.00020595538,0.0002846158,0.00025647282],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012057516,0.0003698871,0.00043260693,0.0012816436,0.0015141547,0.0024799388,0.00034545833,0.00044389136,0.0042236485],"category_scores_gemma":[0.002114872,0.00019544963,0.00042728469,0.00086107006,0.004685219,0.005450239,0.0019956117,0.0016364377,0.000783294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026147913,0.0000064374913,0.00025970038,0.0000186115,0.000002706536,0.000040523173,0.00022510524,0.0003328249,0.00045172477,0.9936947,0.0006862249,0.004255241],"study_design_scores_gemma":[0.000015885174,0.000055564175,0.0010284546,0.000021261152,0.0000094923935,0.00026845172,0.00031523802,0.0022281762,0.0018113805,0.96399164,0.030238198,0.00001622317],"about_ca_topic_score_codex":0.000994019,"about_ca_topic_score_gemma":0.000698672,"teacher_disagreement_score":0.0042236485,"about_ca_system_score_codex":0.001654258,"about_ca_system_score_gemma":0.0006352427,"threshold_uncertainty_score":0.014129519},"labels":[],"label_agreement":null},{"id":"W4385873547","doi":"10.1090/proc/16646","title":"Gradient higher integrability for double phase problems on metric measure spaces","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni; Vetenskapsrådet; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Measure (data warehouse); Metric (unit); Phase (matter); Mathematics; Metric space; Mathematical analysis; Physics; Computer science; Economics; Quantum mechanics; Data mining","score_opus":0.10363965275506586,"score_gpt":0.368324029352477,"score_spread":0.2646843765974111,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385873547","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6994724,0.00089690334,0.27737093,0.001336305,0.00009733,0.000048618775,0.00008545947,0.00013543249,0.020556556],"genre_scores_gemma":[0.97927505,0.00026688768,0.0137194,0.00009454616,0.00008259717,0.000040384995,0.00006784351,0.000059733447,0.006393553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970007,0.000074243224,0.000014124721,0.000046960206,0.000096025375,0.00006854978],"domain_scores_gemma":[0.9985084,0.000625342,0.00026876392,0.000076505734,0.00018186621,0.00033909106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012729537,0.00083377317,0.00066454295,0.0014097327,0.00061421056,0.001806,0.0008448682,0.0008154989,0.0024225449],"category_scores_gemma":[0.0031800054,0.00033202927,0.00069536164,0.0003481841,0.0020223092,0.002556333,0.002060234,0.001692119,0.00013681034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005254355,0.000053955533,0.0010800981,0.00008009727,0.000025901803,0.00028437815,0.00021228248,0.014002905,0.010990865,0.96925116,0.00038148006,0.0035843449],"study_design_scores_gemma":[0.000030351131,0.00009324169,0.0018880013,0.000024430183,0.000015238485,0.00027960012,0.00014180192,0.45688003,0.0033714813,0.5363605,0.00088970107,0.000025682484],"about_ca_topic_score_codex":0.00092741946,"about_ca_topic_score_gemma":0.00081540557,"teacher_disagreement_score":0.0024225449,"about_ca_system_score_codex":0.0012471367,"about_ca_system_score_gemma":0.00042642324,"threshold_uncertainty_score":0.009048641},"labels":[],"label_agreement":null},{"id":"W4385877377","doi":"10.1090/proc/16633","title":"Dynamics of the black soliton in a regularized nonlinear Schrödinger equation","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Photonic Systems","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Nonlinear Schrödinger equation; Nonlinear system; Dynamics (music); Soliton; Physics; Schrödinger's cat; Mathematical physics; Statistical physics; Classical mechanics; Quantum mechanics; Acoustics","score_opus":0.013324024466545846,"score_gpt":0.25752348365495553,"score_spread":0.24419945918840968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385877377","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82963675,0.00041243946,0.13980775,0.0018377289,0.00016404902,0.00008224247,0.00020262008,0.00034187626,0.027514601],"genre_scores_gemma":[0.9624343,0.0002349312,0.0219056,0.00023077248,0.00006236246,0.00009262976,0.00016441762,0.00010196817,0.014773059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998585,0.00004586127,0.000005693911,0.000023311506,0.000038436596,0.000028158867],"domain_scores_gemma":[0.9997235,0.000058096415,0.000056590692,0.000025249064,0.00005939161,0.00007722022],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041411078,0.0005657891,0.0005563097,0.0005309256,0.0006888661,0.0009020813,0.0007380726,0.0012140885,0.002724989],"category_scores_gemma":[0.0010015568,0.0002656988,0.0006056224,0.0002711996,0.0015254617,0.0012862735,0.0012932455,0.0008147893,0.0002938675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003872443,0.00007096555,0.0023974197,0.00015355846,0.00008110551,0.0015047583,0.0008998739,0.2889355,0.042440712,0.6529554,0.002863439,0.0073099984],"study_design_scores_gemma":[0.000060349725,0.00007404922,0.00066896237,0.000014515641,0.00001299745,0.00019296906,0.00015110333,0.8964078,0.0019001362,0.099208646,0.0012626512,0.000045904075],"about_ca_topic_score_codex":0.0041797543,"about_ca_topic_score_gemma":0.0015667344,"teacher_disagreement_score":0.0041797543,"about_ca_system_score_codex":0.0008595261,"about_ca_system_score_gemma":0.00066084194,"threshold_uncertainty_score":0.009115934},"labels":[],"label_agreement":null},{"id":"W4387343471","doi":"10.1090/proc/16668","title":"The limit in the (𝑘+2,𝑘)-problem of Brown, Erdős and Sós exists for all 𝑘≥2","year":2023,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Limits and Structures in Graph Theory","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; Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Annotation; Computer science","score_opus":0.03050380246869389,"score_gpt":0.301997875737142,"score_spread":0.2714940732684481,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387343471","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22441165,0.010507482,0.31517568,0.064528495,0.0028726612,0.00021870607,0.003414701,0.001837319,0.37703335],"genre_scores_gemma":[0.76744646,0.0058109,0.091855116,0.008269333,0.0023005,0.000663183,0.003698504,0.0013148744,0.11864112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99750525,0.00075383537,0.00011832568,0.0006205649,0.00045813303,0.00054385216],"domain_scores_gemma":[0.99108773,0.0062468494,0.00055891526,0.00058992865,0.0008439892,0.00067256606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032145493,0.0016905852,0.0028841938,0.0021302598,0.0043873284,0.005890737,0.0027495539,0.003632644,0.02526852],"category_scores_gemma":[0.01791451,0.00091930013,0.002332103,0.002992132,0.0051088287,0.016788842,0.0063624554,0.009319266,0.0036432594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025012626,0.00005024912,0.0006539246,0.00027782965,0.00005274174,0.00012646984,0.00033919205,0.0025150236,0.00022303792,0.9613808,0.023716997,0.010413593],"study_design_scores_gemma":[0.000047803715,0.00001633154,0.0001470411,0.000047804268,0.000019958972,0.000070077585,0.000117795185,0.006296962,0.00013125472,0.98812264,0.004967237,0.000015019201],"about_ca_topic_score_codex":0.0029380121,"about_ca_topic_score_gemma":0.0032042738,"teacher_disagreement_score":0.02526852,"about_ca_system_score_codex":0.0033990168,"about_ca_system_score_gemma":0.0031977606,"threshold_uncertainty_score":0.084531665},"labels":[],"label_agreement":null},{"id":"W4387731229","doi":"10.1090/proc/16685","title":"Ranicki–Weiss assembly and the Steenrod construction","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Functor; Coalgebra; Annotation; Semantics (computer science); Mathematics; Pure mathematics; Computer science; Algebra over a field; Artificial intelligence; Programming language","score_opus":0.017718785878922564,"score_gpt":0.28522279948150164,"score_spread":0.2675040136025791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387731229","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31059563,0.001666515,0.4368638,0.00072806596,0.0002716995,0.00006317001,0.0002772415,0.0013431625,0.24819067],"genre_scores_gemma":[0.9033965,0.0008313042,0.03668327,0.0001220939,0.000087291366,0.000044798024,0.00037650848,0.00028925008,0.058168948],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995734,0.00009234715,0.000024541096,0.00008680261,0.00013486629,0.00008800582],"domain_scores_gemma":[0.99970967,0.000055830747,0.00003810992,0.00005454908,0.000076685115,0.00006517746],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052947894,0.0004786448,0.0002916655,0.0014312984,0.00084704376,0.0013432424,0.00034619222,0.00024598645,0.00686071],"category_scores_gemma":[0.00094837724,0.00026091107,0.00042472224,0.0005720568,0.0015693053,0.002400599,0.0017479779,0.0006117343,0.0014325584],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015187459,0.0000058634346,0.00029243997,0.000022916047,0.0000043114596,0.00009891121,0.0003684469,0.0006081592,0.0015484281,0.98850507,0.00070305675,0.007827298],"study_design_scores_gemma":[0.000010211532,0.00007962725,0.003272788,0.000051836087,0.000040203242,0.00076044025,0.0008565215,0.018190484,0.0169676,0.87320435,0.08650019,0.00006576479],"about_ca_topic_score_codex":0.0022736273,"about_ca_topic_score_gemma":0.0020467085,"teacher_disagreement_score":0.00686071,"about_ca_system_score_codex":0.0005706544,"about_ca_system_score_gemma":0.00047390672,"threshold_uncertainty_score":0.022951365},"labels":[],"label_agreement":null},{"id":"W4388716572","doi":"10.1090/proc/16474","title":"An optimal approximation problem for free polynomials","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"National Science Foundation","keywords":"Algorithm; Annotation; Type (biology); Computer science; Artificial intelligence; Mathematics","score_opus":0.03256700709942029,"score_gpt":0.3107214238048947,"score_spread":0.2781544167054744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388716572","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1731054,0.0017209224,0.78171265,0.005044101,0.00036791927,0.00008853892,0.0005513105,0.00075143337,0.036657676],"genre_scores_gemma":[0.7681574,0.0010814376,0.20472294,0.0007078783,0.0003418566,0.00013433465,0.0010665327,0.0005181026,0.023269549],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778676,0.0006844648,0.00010761537,0.000549136,0.0005203629,0.00035163478],"domain_scores_gemma":[0.99402374,0.004611211,0.00019158534,0.0006077535,0.00031647534,0.00024920446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028040092,0.00087838137,0.001574415,0.0009873619,0.0011807362,0.003149608,0.0015830819,0.0017143396,0.009726547],"category_scores_gemma":[0.0170247,0.00041980096,0.001386769,0.001557485,0.0022391118,0.006292922,0.002928728,0.0033055567,0.0011229892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003459831,0.00009593133,0.0008608953,0.00030249232,0.000058464633,0.00012964786,0.00032948723,0.06045455,0.0009891802,0.88183814,0.008232288,0.046362855],"study_design_scores_gemma":[0.00005231191,0.00005022532,0.0002077375,0.00003524527,0.000028549784,0.00007896957,0.0001348399,0.24510163,0.00067301304,0.7497618,0.00385667,0.000018981511],"about_ca_topic_score_codex":0.0029633641,"about_ca_topic_score_gemma":0.0026523771,"teacher_disagreement_score":0.009726547,"about_ca_system_score_codex":0.0025469651,"about_ca_system_score_gemma":0.0017149452,"threshold_uncertainty_score":0.032538593},"labels":[],"label_agreement":null},{"id":"W4390535972","doi":"10.1090/proc/16084","title":"Co-feeding transmission leads to bi-stability of tick-borne disease spread dynamics","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Vector-borne infectious diseases","field":"Immunology and Microbiology","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Transmission (telecommunications); Tick; Tick-borne disease; Disease transmission; Stability (learning theory); Biology; Ecology; Virology; Computer science; Telecommunications","score_opus":0.01112107845713863,"score_gpt":0.2671884769735663,"score_spread":0.2560673985164277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390535972","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89997023,0.00033369486,0.09348936,0.0004459487,0.00002421165,0.000041440155,0.00011861627,0.00011021364,0.0054662884],"genre_scores_gemma":[0.9968502,0.00006465351,0.0020156752,0.000026312071,0.000008063345,0.00002329338,0.000034608143,0.000010375999,0.0009668],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99964345,0.00010052703,0.000019770061,0.00008553207,0.00005448272,0.00009620289],"domain_scores_gemma":[0.9979638,0.0008223227,0.0005636814,0.00012976956,0.00026076636,0.00025970436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075777085,0.0004955959,0.00076156424,0.0009792009,0.00084624434,0.0015203679,0.00062648224,0.0009377608,0.0017053873],"category_scores_gemma":[0.005169585,0.0004123704,0.00083815743,0.00045107707,0.00095177314,0.0016336769,0.0017672536,0.0010554836,0.00038026244],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007812742,0.00039839858,0.08014686,0.00020942098,0.0004309507,0.0023084339,0.0011920249,0.7471467,0.04170796,0.10051513,0.0023730733,0.022789685],"study_design_scores_gemma":[0.000017106293,0.00005910151,0.005045729,0.000008510069,0.000029706287,0.00026976797,0.00007533585,0.98094326,0.00050651876,0.012787104,0.00023845387,0.000019463105],"about_ca_topic_score_codex":0.003791998,"about_ca_topic_score_gemma":0.0022948692,"teacher_disagreement_score":0.003791998,"about_ca_system_score_codex":0.00061098434,"about_ca_system_score_gemma":0.0004908375,"threshold_uncertainty_score":0.0075398088},"labels":[],"label_agreement":null},{"id":"W4390704218","doi":"10.1090/proc/16769","title":"The determinacy of wave speed sign for a reaction-diffusion system with nonlocal diffusion","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Determinacy; Sign (mathematics); Diffusion; Reaction–diffusion system; Mathematics; Statistical physics; Physics; Mathematical analysis; Thermodynamics","score_opus":0.02604371481726242,"score_gpt":0.2748846381186141,"score_spread":0.24884092330135166,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390704218","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13684686,0.00041617773,0.8473748,0.00076334045,0.00012677268,0.00007881906,0.000064816,0.000117698604,0.014210661],"genre_scores_gemma":[0.8807224,0.00054739683,0.110719286,0.00021118161,0.000046334557,0.00016066247,0.000074994256,0.00006215701,0.0074555343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995677,0.00008668679,0.00003403284,0.00010915401,0.00012856163,0.000073837575],"domain_scores_gemma":[0.9990707,0.0004952445,0.00016101399,0.000053378968,0.00014819758,0.00007148245],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011264682,0.00047265503,0.00053006853,0.00065328984,0.00061168266,0.0012423611,0.00083397503,0.0012910677,0.002221266],"category_scores_gemma":[0.0033149424,0.00033762195,0.00050102285,0.00033351494,0.0015041069,0.0015882734,0.001171775,0.0016329599,0.00029718908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012691754,0.00005250619,0.0012800755,0.000270649,0.000029798872,0.00037971066,0.00043108282,0.05157774,0.1276966,0.7889289,0.00091085595,0.028315239],"study_design_scores_gemma":[0.000031612817,0.000055209817,0.00041285832,0.00002456071,0.000018063189,0.00021662466,0.00008951657,0.82676333,0.019163003,0.15184027,0.0013204017,0.00006444871],"about_ca_topic_score_codex":0.0006430893,"about_ca_topic_score_gemma":0.0005592848,"teacher_disagreement_score":0.002221266,"about_ca_system_score_codex":0.0005950703,"about_ca_system_score_gemma":0.00074671925,"threshold_uncertainty_score":0.0074308515},"labels":[],"label_agreement":null},{"id":"W4390937055","doi":"10.1090/proc/16779","title":"On Kigami’s conjecture of the embedding 𝒲^{𝓅}(𝒦)⊂𝒞(𝒦)","year":2024,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Point processes and geometric inequalities","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":"Pacific Institute for the Mathematical Sciences","keywords":"Conjecture; Embedding; Mathematics; Combinatorics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.0212372589443151,"score_gpt":0.3034858338012422,"score_spread":0.2822485748569271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390937055","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26695454,0.0044062887,0.120198764,0.03074609,0.0034034923,0.00010681488,0.0013601558,0.0016102369,0.5712136],"genre_scores_gemma":[0.8740852,0.0016461049,0.017397137,0.0040483577,0.0017462523,0.00016788715,0.001441581,0.0007048435,0.09876266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99858946,0.0002492587,0.000059818096,0.00039754674,0.00026020498,0.00044371333],"domain_scores_gemma":[0.99720395,0.0013405508,0.00020941424,0.00036927854,0.00045250476,0.0004242362],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014004655,0.0012049502,0.0014265004,0.0015060669,0.004116168,0.004120396,0.001609076,0.0026600675,0.021863664],"category_scores_gemma":[0.0062380126,0.0007963512,0.0016924628,0.0014416476,0.0055754636,0.010709852,0.006638279,0.0060842773,0.004183493],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007203528,0.00002097852,0.00032622745,0.0000774737,0.000013080508,0.00010594601,0.0005498318,0.0007600874,0.0002531679,0.9842696,0.00882509,0.0047264784],"study_design_scores_gemma":[0.000023367793,0.000022164266,0.00048012234,0.000027262904,0.000013126284,0.00007780542,0.00025249255,0.0027187685,0.00023052322,0.98783934,0.008294999,0.000020014731],"about_ca_topic_score_codex":0.0055174236,"about_ca_topic_score_gemma":0.004589202,"teacher_disagreement_score":0.021863664,"about_ca_system_score_codex":0.0031039035,"about_ca_system_score_gemma":0.0014477376,"threshold_uncertainty_score":0.07314128},"labels":[],"label_agreement":null},{"id":"W4391616445","doi":"10.1090/proc/16796","title":"A representation of sup-completion","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space 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 Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Completion (oil and gas wells); Representation (politics); Computer science; Physics; Political science; Nuclear magnetic resonance","score_opus":0.030446320405573622,"score_gpt":0.33588839500269185,"score_spread":0.30544207459711825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391616445","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.030140135,0.0013043709,0.68536776,0.002279963,0.0010434694,0.00009961328,0.0020794957,0.0028446752,0.27484053],"genre_scores_gemma":[0.6038046,0.0011631374,0.23260863,0.0011173718,0.0009268066,0.00027394065,0.005119767,0.0022619877,0.15272382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802667,0.00040918164,0.00014416303,0.0005742704,0.0005731548,0.00027259855],"domain_scores_gemma":[0.9979761,0.00034469154,0.0001310773,0.00037797182,0.00084450835,0.0003255202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002374286,0.0010606035,0.0006343963,0.0021118603,0.0017046551,0.005280199,0.0016131303,0.00086593523,0.025489263],"category_scores_gemma":[0.0028034695,0.0005664428,0.0013729394,0.0017131863,0.0035366488,0.0078344885,0.0034243276,0.0033823524,0.007068292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015991922,0.000009612477,0.000047714064,0.00003106265,0.0000041588555,0.000044469012,0.00017606445,0.00029531287,0.0003573773,0.9915971,0.0024342681,0.004986928],"study_design_scores_gemma":[0.000016183641,0.000031524985,0.00011601991,0.000025672001,0.0000073496826,0.00013988509,0.0002099251,0.005788978,0.00089734973,0.9337777,0.0589681,0.00002130483],"about_ca_topic_score_codex":0.002585424,"about_ca_topic_score_gemma":0.001997284,"teacher_disagreement_score":0.025489263,"about_ca_system_score_codex":0.001941244,"about_ca_system_score_gemma":0.0016435776,"threshold_uncertainty_score":0.08527011},"labels":[],"label_agreement":null},{"id":"W4392282120","doi":"10.1090/proc/16814","title":"Corrigendum to “Small prime 𝑘𝑡ℎ power residues”","year":2024,"lang":"en","type":"erratum","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","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 Lethbridge","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Prime (order theory); Computer science; Mathematics; Combinatorics","score_opus":0.046656619631140636,"score_gpt":0.3306734170256949,"score_spread":0.28401679739455427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392282120","genre_codex":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007097446,0.0033225983,0.014602336,0.082747184,0.8426992,0.00005759201,0.0020540587,0.0019698937,0.051837433],"genre_scores_gemma":[0.04856056,0.01068059,0.034000553,0.07297684,0.16014798,0.00033084681,0.0056030536,0.008131741,0.6595678],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9968741,0.00068027555,0.00026876607,0.0005064799,0.0014298876,0.00024048673],"domain_scores_gemma":[0.991013,0.002350526,0.0003641403,0.000906256,0.004978062,0.0003879946],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00209116,0.0020506107,0.0014139485,0.0031536988,0.0030632243,0.0032172548,0.0026295597,0.0028290881,0.10349515],"category_scores_gemma":[0.025462538,0.00079421786,0.0017538755,0.0019569816,0.0023452535,0.0035352898,0.0018847972,0.005523743,0.06335215],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002377821,0.000009200836,0.000040472947,0.00008956788,0.000012650474,0.000110727895,0.000040335115,0.00006751615,0.000099886754,0.011336661,0.98111665,0.007052451],"study_design_scores_gemma":[0.000019304796,0.000016954184,0.00038282215,0.0001289143,0.00003074709,0.00031320096,0.000058973776,0.00063682237,0.00062927924,0.019055687,0.97869533,0.000032040927],"about_ca_topic_score_codex":0.008080072,"about_ca_topic_score_gemma":0.009116246,"teacher_disagreement_score":0.10349515,"about_ca_system_score_codex":0.0043958453,"about_ca_system_score_gemma":0.0023085526,"threshold_uncertainty_score":0.3462258},"labels":[],"label_agreement":null},{"id":"W4392282123","doi":"10.1090/proc/16806","title":"Answer to a conjecture of Lau–Ülger","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Mathematical economics; Combinatorics","score_opus":0.02019636524710601,"score_gpt":0.31627364255770696,"score_spread":0.29607727731060096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392282123","genre_codex":"commentary","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08678152,0.014627273,0.100455105,0.40161484,0.015889632,0.000109251865,0.0032311243,0.0025112452,0.37478003],"genre_scores_gemma":[0.79566085,0.0060289972,0.027681848,0.0652264,0.014846401,0.00040159444,0.003830468,0.0011272107,0.08519613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959986,0.0013894594,0.00015152672,0.0010885096,0.0008305625,0.00054139027],"domain_scores_gemma":[0.98426074,0.009520259,0.00094746496,0.0020493336,0.0022738345,0.0009484657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0035813078,0.001353713,0.0026740055,0.0012683325,0.0035316937,0.0040190276,0.0020558918,0.004646636,0.03610131],"category_scores_gemma":[0.03295086,0.0007163846,0.0019349775,0.0016880906,0.006242599,0.014000908,0.0051370687,0.0068977866,0.008056826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004378595,0.00009792092,0.0013207769,0.0004916535,0.00006808006,0.00023150916,0.00047665465,0.0018508753,0.0004489905,0.81965953,0.15681821,0.018097958],"study_design_scores_gemma":[0.000067554516,0.000032750733,0.0007224331,0.00007905286,0.000024297045,0.00014759049,0.00017475699,0.0043173274,0.00024836743,0.9667691,0.02738662,0.00003021804],"about_ca_topic_score_codex":0.0020477439,"about_ca_topic_score_gemma":0.0012603621,"teacher_disagreement_score":0.03610131,"about_ca_system_score_codex":0.002447116,"about_ca_system_score_gemma":0.0016471063,"threshold_uncertainty_score":0.12077093},"labels":[],"label_agreement":null},{"id":"W4392616725","doi":"10.1090/proc/17035","title":"Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs","year":2024,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Graph theory and applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Power (physics); Distribution (mathematics); Mathematics; Combinatorics; Physics; Mathematical analysis","score_opus":0.015581012378705576,"score_gpt":0.2875601054928759,"score_spread":0.27197909311417034,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392616725","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.89037156,0.00022081564,0.10036968,0.0007135182,0.00003412483,0.00003112122,0.0002675539,0.00027268706,0.007719008],"genre_scores_gemma":[0.9841936,0.00017526714,0.011680315,0.00008309566,0.000067159446,0.000062662555,0.00026075708,0.00010120397,0.0033759119],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994535,0.00013001224,0.000017330978,0.00016087826,0.00011143243,0.00012690508],"domain_scores_gemma":[0.9954242,0.0027422789,0.0005775212,0.00037829683,0.00036501282,0.000512669],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012724119,0.00035692792,0.00056048395,0.001969744,0.0010051971,0.0014699083,0.0009946973,0.0006581942,0.005638378],"category_scores_gemma":[0.009395168,0.00046784704,0.000536131,0.0008749174,0.002671618,0.0032932754,0.0012853354,0.0010333281,0.00034545883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025248315,0.00004870016,0.0065196236,0.00012824079,0.000030539675,0.00032939858,0.0007987244,0.03293804,0.008842524,0.9320798,0.0029316156,0.015100324],"study_design_scores_gemma":[0.000055908644,0.000047210087,0.0034214114,0.000045437104,0.000017901455,0.00028525438,0.00030815747,0.18333273,0.0045146137,0.80525655,0.0026763573,0.000038404487],"about_ca_topic_score_codex":0.0016184411,"about_ca_topic_score_gemma":0.0015962793,"teacher_disagreement_score":0.005638378,"about_ca_system_score_codex":0.0015814179,"about_ca_system_score_gemma":0.0005396072,"threshold_uncertainty_score":0.018862307},"labels":[],"label_agreement":null},{"id":"W4392744773","doi":"10.1090/proc/16826","title":"Sufficient conditions for a problem of Polya","year":2024,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Science and Engineering Research Board","keywords":"Mathematics; Mathematical economics; Combinatorics","score_opus":0.014036179113911645,"score_gpt":0.26915530985625025,"score_spread":0.2551191307423386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392744773","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06943647,0.0033258672,0.34574175,0.050298616,0.0034881008,0.0006095206,0.008098856,0.0025062957,0.5164944],"genre_scores_gemma":[0.7204652,0.0030215366,0.15794516,0.011119009,0.0036956228,0.0017071061,0.011900089,0.0013088263,0.088837504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9930126,0.0015591721,0.0006598035,0.0021588914,0.001161868,0.0014476927],"domain_scores_gemma":[0.97608393,0.014109636,0.0012227927,0.0029109204,0.0036214865,0.0020511209],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004623765,0.0013606611,0.0022227492,0.0029542795,0.005945881,0.006992629,0.0032494739,0.005663742,0.07714916],"category_scores_gemma":[0.030057115,0.001430722,0.004169813,0.0023587067,0.008046429,0.016582692,0.008640162,0.012407245,0.009500819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000097940654,0.00006276343,0.00043223271,0.00017803579,0.000032873686,0.0002095225,0.00016231583,0.00084130606,0.00032306195,0.98099685,0.0123132765,0.0043497332],"study_design_scores_gemma":[0.000060311817,0.000028529006,0.00027690225,0.00006836903,0.00002190334,0.0001639736,0.00025545142,0.00431258,0.00044522135,0.97670835,0.017633809,0.000024689587],"about_ca_topic_score_codex":0.0025474932,"about_ca_topic_score_gemma":0.004007483,"teacher_disagreement_score":0.07714916,"about_ca_system_score_codex":0.0036915427,"about_ca_system_score_gemma":0.005237974,"threshold_uncertainty_score":0.2580896},"labels":[],"label_agreement":null},{"id":"W4392757571","doi":"10.1090/proc/16835","title":"Invariant embeddings and weighted permutations","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Saint Mary's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invariant (physics); Mathematics; Combinatorics; Pure mathematics; Mathematical physics","score_opus":0.015847170885052084,"score_gpt":0.29921155606073424,"score_spread":0.28336438517568213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392757571","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23075944,0.0007005662,0.5138827,0.0016100397,0.000901175,0.00011452233,0.0005872477,0.0012416726,0.25020272],"genre_scores_gemma":[0.89208025,0.0005800698,0.04013441,0.00069084496,0.00048528414,0.00014449196,0.000737846,0.00079334807,0.0643535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981823,0.00038463334,0.00010392942,0.0004967356,0.0004551632,0.00037738096],"domain_scores_gemma":[0.99807113,0.0004899048,0.00026490734,0.00050196477,0.0004272252,0.0002448988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009524145,0.0009866495,0.0005159016,0.0013592105,0.0014849189,0.0026546244,0.0010119091,0.0008320026,0.015348094],"category_scores_gemma":[0.003549887,0.00043728235,0.0013859293,0.00083907647,0.003067125,0.0058775125,0.0039131413,0.0022221592,0.00405076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015252001,0.000016030734,0.0001096226,0.000019100651,0.0000065205963,0.00007273387,0.00013619938,0.0005232723,0.00062553416,0.992543,0.00092236954,0.0050104433],"study_design_scores_gemma":[0.000007166396,0.00002438005,0.000103943355,0.000010077461,0.000006591009,0.00007471182,0.000092820614,0.0038590685,0.0012876227,0.98836833,0.006154213,0.0000110531155],"about_ca_topic_score_codex":0.0008496884,"about_ca_topic_score_gemma":0.0007881025,"teacher_disagreement_score":0.015348094,"about_ca_system_score_codex":0.0012606016,"about_ca_system_score_gemma":0.0006420424,"threshold_uncertainty_score":0.051344514},"labels":[],"label_agreement":null},{"id":"W4393319624","doi":"10.1090/proc/16499","title":"Representations of groups on Banach spaces","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Banach space; Mathematics; Banach manifold; Eberlein–Šmulian theorem; Pure mathematics; Lp space; Business","score_opus":0.02802684607779336,"score_gpt":0.3413200119692366,"score_spread":0.31329316589144324,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393319624","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07672959,0.0008311858,0.8341352,0.003034921,0.0006526246,0.00012959502,0.00051017595,0.0007390387,0.08323765],"genre_scores_gemma":[0.77141356,0.000979641,0.18363412,0.0010711992,0.0008229108,0.00042808938,0.0006532008,0.0004302094,0.04056702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99728155,0.0010226672,0.00015998182,0.0005691469,0.00063422957,0.00033238748],"domain_scores_gemma":[0.9985056,0.00036306083,0.00020579176,0.00035310132,0.00036591725,0.00020656311],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026915595,0.0010609734,0.00058023934,0.0019536177,0.0013052025,0.004011362,0.0011425507,0.001349688,0.008009307],"category_scores_gemma":[0.0036400226,0.00031184813,0.0014726081,0.0012980872,0.003756361,0.0065140785,0.0037022827,0.0023070748,0.0017015493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000038995713,0.0000032662556,0.000031686373,0.000010453373,0.0000027553672,0.000020607022,0.00015170405,0.00032577288,0.00027242352,0.9972365,0.00030547372,0.0016355719],"study_design_scores_gemma":[0.0000059564823,0.000022269478,0.00005683246,0.0000120728255,0.0000039870697,0.000045448367,0.00011534444,0.004445375,0.00046880436,0.9853279,0.00948708,0.0000089001105],"about_ca_topic_score_codex":0.00079802476,"about_ca_topic_score_gemma":0.0004470748,"teacher_disagreement_score":0.008009307,"about_ca_system_score_codex":0.0015353594,"about_ca_system_score_gemma":0.00068507897,"threshold_uncertainty_score":0.026793838},"labels":[],"label_agreement":null},{"id":"W4393319719","doi":"10.1090/proc/16866","title":"𝑝-adic limit of the Eisenstein series on the exceptional group of type 𝐸_{7,3}","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Type (biology); Computer science; Artificial intelligence; Mathematics; Biology","score_opus":0.02596258225227258,"score_gpt":0.2822374299762171,"score_spread":0.2562748477239445,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393319719","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68223286,0.0010585453,0.062796324,0.0014849241,0.0008177332,0.000042582833,0.00017571644,0.00052112096,0.25087032],"genre_scores_gemma":[0.9541719,0.00037873967,0.008188833,0.00025388077,0.0002869998,0.000041173225,0.00018725867,0.00016283458,0.036328476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993944,0.00010304696,0.000029844125,0.00012121212,0.00019256625,0.0001588868],"domain_scores_gemma":[0.99948716,0.00010411094,0.00008048431,0.000048722253,0.0001301187,0.00014949658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006531974,0.0007172894,0.0007067624,0.0013592682,0.0020300662,0.0020332034,0.0007518679,0.0007110379,0.008458159],"category_scores_gemma":[0.0015465012,0.0002243094,0.0008230826,0.00065453164,0.0022376666,0.002367518,0.0015333381,0.0014930392,0.0019825716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004133113,0.000021199776,0.00053207,0.000039951537,0.000013977936,0.0005301317,0.0003715551,0.000573265,0.0016018655,0.98985565,0.0014321181,0.0049868706],"study_design_scores_gemma":[0.000024343883,0.00004699702,0.001032292,0.00004337197,0.000022433756,0.0007767783,0.00029538706,0.0056396555,0.0034000415,0.97577274,0.012911269,0.000034645625],"about_ca_topic_score_codex":0.0010575821,"about_ca_topic_score_gemma":0.0008559574,"teacher_disagreement_score":0.008458159,"about_ca_system_score_codex":0.0013881505,"about_ca_system_score_gemma":0.00068627147,"threshold_uncertainty_score":0.028295398},"labels":[],"label_agreement":null},{"id":"W4396548163","doi":"10.1090/proc/16897","title":"Nonradial solutions of a Neumann Hénon equation on a ball","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Ball (mathematics); Von Neumann architecture; Mathematical analysis; Mathematics; Pure mathematics","score_opus":0.07127587978025118,"score_gpt":0.32952651185793824,"score_spread":0.25825063207768706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396548163","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6787107,0.0012343705,0.17148161,0.0028540697,0.00061365205,0.00013620264,0.00017599914,0.00025159912,0.14454183],"genre_scores_gemma":[0.9296929,0.0003974296,0.01406025,0.00036176352,0.00012862495,0.00007737619,0.00012301894,0.00011771689,0.055040885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926215,0.00022725112,0.000023611376,0.00011837842,0.00020353531,0.00016505821],"domain_scores_gemma":[0.9989286,0.00036590037,0.00015835345,0.000058909747,0.00025239735,0.00023572036],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010503508,0.001154192,0.00083880627,0.0013205727,0.0016411563,0.0023650513,0.0016624088,0.0017563376,0.008383572],"category_scores_gemma":[0.0033528577,0.0005554042,0.00060344505,0.00062672794,0.004094701,0.0031691904,0.0036077076,0.0015078713,0.001113463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008528138,0.000044440545,0.00039075635,0.00007037764,0.000020476044,0.0002639478,0.0003698709,0.011657333,0.0028042083,0.9814649,0.0009013494,0.0019270119],"study_design_scores_gemma":[0.00008015072,0.00013878815,0.0008064677,0.00006050313,0.000017400076,0.00034739138,0.000709724,0.26996788,0.0025517691,0.72186625,0.0033435381,0.00011001561],"about_ca_topic_score_codex":0.00408906,"about_ca_topic_score_gemma":0.002835052,"teacher_disagreement_score":0.008383572,"about_ca_system_score_codex":0.0012430476,"about_ca_system_score_gemma":0.0012018037,"threshold_uncertainty_score":0.028045833},"labels":[],"label_agreement":null},{"id":"W4396561694","doi":"10.1090/proc/16900","title":"Factorization of functions in the Schur-Agler class related to test functions","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministry of Education, India; Pacific Institute for the Mathematical Sciences","keywords":"Factorization; Class (philosophy); Test (biology); Mathematics; Algebra over a field; Computer science; Pure mathematics; Artificial intelligence; Algorithm; Biology","score_opus":0.021921198342766065,"score_gpt":0.287529388554637,"score_spread":0.26560819021187093,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396561694","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38251758,0.00039600497,0.5701295,0.0009094218,0.00025459152,0.0001420244,0.00035863518,0.0003646438,0.044927623],"genre_scores_gemma":[0.9503517,0.00027128874,0.043516736,0.000157793,0.00019927794,0.000093675335,0.00039160583,0.000074436895,0.004943608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99819666,0.00033303277,0.00013658855,0.00035693834,0.00047618608,0.0005005406],"domain_scores_gemma":[0.9935534,0.0026480125,0.0008429725,0.0007451884,0.0011500083,0.0010604603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024932353,0.0010613201,0.0010143573,0.0020388123,0.0023062408,0.0039052854,0.0007420032,0.0016284225,0.0057013454],"category_scores_gemma":[0.009560988,0.00046800516,0.001604235,0.0008943958,0.0038485918,0.0060757506,0.0021249258,0.0024735876,0.00084037345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007838722,0.00003345542,0.0007146982,0.000037806265,0.0000099111,0.00025709707,0.00028393886,0.0015791074,0.0028801293,0.98910147,0.0005895718,0.0044344934],"study_design_scores_gemma":[0.0000216403,0.000057871257,0.0004736556,0.000031290085,0.000011191744,0.00043873274,0.0002608553,0.022635529,0.0024573458,0.9717139,0.001863193,0.000034724926],"about_ca_topic_score_codex":0.0011481276,"about_ca_topic_score_gemma":0.00070835283,"teacher_disagreement_score":0.0057013454,"about_ca_system_score_codex":0.0012754373,"about_ca_system_score_gemma":0.0010145134,"threshold_uncertainty_score":0.01907283},"labels":[],"label_agreement":null},{"id":"W4399764344","doi":"10.1090/proc/16855","title":"Atomicity of Boolean algebras and vector lattices in terms of order convergence","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Agencia Estatal de Investigación; Natural Sciences and Engineering Research Council of Canada; Fundación Séneca","keywords":"Atomicity; Order (exchange); Mathematics; Convergence (economics); Computer science; Programming language; Business","score_opus":0.015699518543825668,"score_gpt":0.2967440366606311,"score_spread":0.2810445181168054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399764344","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29536986,0.0016129332,0.58402574,0.0015317327,0.00024859546,0.00009027356,0.000265225,0.00030433657,0.11655134],"genre_scores_gemma":[0.93517303,0.0007536182,0.05336098,0.00026006,0.0002658973,0.00013907377,0.00025782172,0.00008773339,0.009701732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987005,0.00041998722,0.00008678878,0.00020200945,0.00041100892,0.00017968412],"domain_scores_gemma":[0.99711716,0.0013490451,0.00026851747,0.00027736998,0.00070261833,0.00028534213],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017619747,0.00037008236,0.0005214012,0.0018645481,0.0011820788,0.0029593278,0.00069308444,0.0005527552,0.0032516243],"category_scores_gemma":[0.00396532,0.00028013618,0.00078605197,0.0010616761,0.0037585495,0.005381241,0.002075584,0.002062822,0.0004072958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011389032,0.0000120998375,0.00019175146,0.000017192891,0.000004228556,0.00003704051,0.00013049628,0.0006165061,0.00052237266,0.99599934,0.00018892417,0.0022686648],"study_design_scores_gemma":[0.0000090339345,0.000032305485,0.00031270803,0.000018897197,0.00000865336,0.00011925584,0.00014844263,0.014045162,0.0013843601,0.9804146,0.0034960522,0.000010500185],"about_ca_topic_score_codex":0.0008339754,"about_ca_topic_score_gemma":0.00074618723,"teacher_disagreement_score":0.0032516243,"about_ca_system_score_codex":0.0009826617,"about_ca_system_score_gemma":0.000593769,"threshold_uncertainty_score":0.010877728},"labels":[],"label_agreement":null},{"id":"W4399845494","doi":"10.1090/proc/16881","title":"On Dancer’s conjecture for stable solutions with sign-changing nonlinearity","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Sign (mathematics); Mathematics; Nonlinear system; Pure mathematics; Combinatorics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.042754618217422824,"score_gpt":0.32070633162449463,"score_spread":0.2779517134070718,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399845494","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32976168,0.0019202278,0.33814278,0.024016954,0.002387894,0.00016975963,0.00050394627,0.0009805834,0.3021162],"genre_scores_gemma":[0.8989599,0.00092258776,0.020856941,0.0022475685,0.0010174814,0.0001531504,0.00038366567,0.00029902035,0.075159654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99925226,0.00020962895,0.000037335332,0.00013309512,0.00023271314,0.00013500064],"domain_scores_gemma":[0.99798906,0.0007908562,0.00019342442,0.00020052034,0.00044903913,0.00037708165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014401068,0.00094036805,0.0008541506,0.0018392289,0.0019536084,0.0027183301,0.0013157222,0.002389427,0.015749013],"category_scores_gemma":[0.008069721,0.0003724372,0.0016886974,0.00080803817,0.0031726013,0.0041257627,0.003949886,0.0033487633,0.0026340943],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049331706,0.00001931069,0.0004690404,0.00006121446,0.0000115887615,0.00022436808,0.0002515299,0.0026026755,0.0017595172,0.98511446,0.0039151856,0.0055218157],"study_design_scores_gemma":[0.00003604926,0.000035993402,0.00024206888,0.00003245091,0.000008462136,0.00016437958,0.00014501924,0.04011325,0.0008808857,0.95454615,0.0037718639,0.000023396884],"about_ca_topic_score_codex":0.0022699502,"about_ca_topic_score_gemma":0.001270346,"teacher_disagreement_score":0.015749013,"about_ca_system_score_codex":0.0015104818,"about_ca_system_score_gemma":0.001060794,"threshold_uncertainty_score":0.052685678},"labels":[],"label_agreement":null},{"id":"W4401877606","doi":"10.1090/proc/16948","title":"On the top-dimensional cohomology of arithmetic Chevalley groups","year":2024,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number 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":"McMaster University","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; Danmarks Grundforskningsfond; Deutsche Forschungsgemeinschaft","keywords":"Algorithm; Annotation; Computer science; Type (biology); Artificial intelligence; Mathematics; Biology","score_opus":0.016013360649315016,"score_gpt":0.2659104560493839,"score_spread":0.24989709540006888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401877606","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4396168,0.0031762505,0.0702007,0.0041018114,0.0014025412,0.000053445896,0.0007208174,0.00092461536,0.47980294],"genre_scores_gemma":[0.9242281,0.0012835275,0.0059948,0.00044939283,0.0011273482,0.00003714686,0.00043564956,0.00023621497,0.06620781],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939704,0.000110281435,0.000021549895,0.00011277014,0.0001775855,0.00018066716],"domain_scores_gemma":[0.99947864,0.0002013061,0.00004492976,0.000062246865,0.000093109054,0.00011986469],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006345502,0.0007543356,0.0006871567,0.002046569,0.0016036142,0.0027283824,0.0006292096,0.0006300398,0.022341466],"category_scores_gemma":[0.0015565465,0.0002874114,0.00061324186,0.0012831484,0.0024275444,0.0043777595,0.0030029207,0.0018095941,0.0036223189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005064798,0.00001818033,0.00029420585,0.000065974506,0.0000076067845,0.00010740988,0.0003756371,0.000737393,0.0007621169,0.98186594,0.003663337,0.012051441],"study_design_scores_gemma":[0.000022052402,0.000038132068,0.0010056839,0.00003379458,0.000013185495,0.00015990589,0.00025888518,0.0034051987,0.0010112544,0.9777529,0.016273122,0.000025827987],"about_ca_topic_score_codex":0.0021629743,"about_ca_topic_score_gemma":0.0011077499,"teacher_disagreement_score":0.022341466,"about_ca_system_score_codex":0.0014876775,"about_ca_system_score_gemma":0.00053625903,"threshold_uncertainty_score":0.074739635},"labels":[],"label_agreement":null},{"id":"W4402219439","doi":"10.1090/proc/16931","title":"A generalization of Darboux-Froda theorem and its applications","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Optimization and Variational Analysis","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Uncountable set; Countable set; Mathematics; Monotone polygon; Lemma (botany); Generalization; Classification of discontinuities; Discrete mathematics; Jump; Pure mathematics; Mathematical analysis","score_opus":0.00847304478455699,"score_gpt":0.2463466814574323,"score_spread":0.2378736366728753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402219439","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.056717753,0.006150874,0.8876045,0.00334257,0.00037951596,0.00008045662,0.00027767345,0.00016579722,0.045280904],"genre_scores_gemma":[0.7686985,0.00514974,0.20980157,0.001098103,0.00079470046,0.00024370356,0.00023646322,0.00014002489,0.013837112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988996,0.00024336894,0.000057773497,0.00035735645,0.00033463674,0.0001073254],"domain_scores_gemma":[0.9975647,0.0014646101,0.00018150451,0.00027039403,0.00037647903,0.00014238304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027108532,0.0007306304,0.0010192066,0.0025127036,0.0014577453,0.0016116635,0.0016110934,0.0014592953,0.00359109],"category_scores_gemma":[0.005997023,0.00045640813,0.002345837,0.0015005384,0.00434245,0.0045209276,0.003115811,0.0037352657,0.0004123183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011699126,0.00000681014,0.00031947845,0.000054999062,0.000013658412,0.000066968234,0.00015729998,0.002965198,0.0007279184,0.9891651,0.00054068543,0.0059700636],"study_design_scores_gemma":[0.000019046929,0.00006476336,0.0008514018,0.00004357238,0.000016879521,0.0003621354,0.00010199936,0.042704582,0.0009724788,0.9366445,0.018181827,0.000036854486],"about_ca_topic_score_codex":0.0030412872,"about_ca_topic_score_gemma":0.0013871071,"teacher_disagreement_score":0.00359109,"about_ca_system_score_codex":0.0023861784,"about_ca_system_score_gemma":0.00093989243,"threshold_uncertainty_score":0.017313063},"labels":[],"label_agreement":null},{"id":"W4402270134","doi":"10.1090/proc/17047","title":"A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Sheaf; Pure mathematics; Mathematics; Projective test; Algebra over a field","score_opus":0.03126862666292156,"score_gpt":0.3281509262134879,"score_spread":0.29688229955056633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402270134","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.69479376,0.0006296239,0.24705654,0.0008100538,0.00018390447,0.0000753412,0.00035543978,0.00058521976,0.05551011],"genre_scores_gemma":[0.97036374,0.00028220276,0.015973194,0.00011112187,0.0001117943,0.000050023544,0.00015367437,0.00009605853,0.012858233],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999376,0.000114070266,0.000030971205,0.000145293,0.00016651412,0.00016711277],"domain_scores_gemma":[0.99931896,0.00012907539,0.000113627626,0.00010019965,0.00014114766,0.00019696743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007495322,0.0004540951,0.0004111426,0.0016738239,0.0014384859,0.0025936228,0.00070894277,0.000485095,0.005269466],"category_scores_gemma":[0.0011132525,0.00035465928,0.0006646364,0.000813143,0.0029943958,0.0044970987,0.0020090013,0.0011000701,0.0005981877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010110733,0.000014409141,0.0002915651,0.000015454565,0.0000040014265,0.00006876957,0.00026535406,0.0004847118,0.0014451046,0.99519944,0.00020014109,0.0020009803],"study_design_scores_gemma":[0.000019147508,0.00006135553,0.00091308425,0.000021040478,0.000016981412,0.00022887815,0.00040318508,0.009039431,0.0031247037,0.9802933,0.005858959,0.00001994266],"about_ca_topic_score_codex":0.001356748,"about_ca_topic_score_gemma":0.0011852984,"teacher_disagreement_score":0.005269466,"about_ca_system_score_codex":0.0010849631,"about_ca_system_score_gemma":0.00061681226,"threshold_uncertainty_score":0.017628133},"labels":[],"label_agreement":null},{"id":"W4403114570","doi":"10.1090/proc/17081","title":"Homotopy rigidity for quasitoric manifolds over a product of 𝑑-simplices","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Beijing Municipality","keywords":"Rigidity (electromagnetism); Homotopy; Mathematics; Pure mathematics; Structural engineering; Engineering","score_opus":0.026732745508671496,"score_gpt":0.33405012674376594,"score_spread":0.30731738123509444,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403114570","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62006015,0.0007644316,0.22205056,0.0017682145,0.0005111575,0.00008601639,0.0007612289,0.0010863764,0.15291193],"genre_scores_gemma":[0.9268202,0.00047896706,0.03362279,0.00027906278,0.00014165782,0.000084602994,0.0009590511,0.00030796308,0.037305728],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992175,0.00011114136,0.00004719185,0.00022431098,0.00025876527,0.00014110224],"domain_scores_gemma":[0.9989875,0.00029883583,0.00016698503,0.00012803065,0.00022497031,0.00019370548],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054328213,0.0006993998,0.00042545283,0.0019892675,0.0019003846,0.0026406555,0.0009122786,0.0009398709,0.013692279],"category_scores_gemma":[0.0014423864,0.0005431481,0.001042037,0.0007684855,0.0019042939,0.0042934907,0.0029254504,0.0015593934,0.0018536027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004196549,0.000015491749,0.00029826022,0.000050663075,0.00001157204,0.00021618564,0.0003916849,0.0013369052,0.0017132177,0.9901157,0.0013609513,0.004447435],"study_design_scores_gemma":[0.00003233611,0.00013195765,0.002619557,0.000058713664,0.000042413372,0.0008044758,0.00096793374,0.021341668,0.005176605,0.9451966,0.023559978,0.00006774575],"about_ca_topic_score_codex":0.0016783952,"about_ca_topic_score_gemma":0.0018152039,"teacher_disagreement_score":0.013692279,"about_ca_system_score_codex":0.001498179,"about_ca_system_score_gemma":0.0004429935,"threshold_uncertainty_score":0.045805275},"labels":[],"label_agreement":null},{"id":"W4403128502","doi":"10.1090/proc/17077","title":"An explicit Wishart moment formula for the product of two disjoint principal minors","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Disjoint sets; Wishart distribution; Principal (computer security); Mathematics; Product (mathematics); Moment (physics); Combinatorics; Statistics; Computer science; Physics; Geometry; Multivariate statistics","score_opus":0.04214087928099235,"score_gpt":0.35493357721717766,"score_spread":0.3127926979361853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403128502","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046059906,0.0007848481,0.93806785,0.0005625578,0.00019439493,0.000038371214,0.00019195653,0.00015788122,0.013942229],"genre_scores_gemma":[0.82304317,0.0016708971,0.15423332,0.0006967953,0.0011091885,0.00017369336,0.0004726075,0.00041370682,0.018186616],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998944,0.0002494219,0.000058688034,0.00022902628,0.00037075076,0.00014813809],"domain_scores_gemma":[0.99654275,0.0017726874,0.00046868648,0.00035633115,0.000542993,0.00031648678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018238697,0.0008943502,0.0007467392,0.0014694206,0.0006980567,0.0020780475,0.001709998,0.001315921,0.007212355],"category_scores_gemma":[0.009301344,0.00057096046,0.0010139395,0.0009540038,0.0031165695,0.005216262,0.0018756597,0.0025426585,0.0014822221],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004690773,0.000019896126,0.00046734416,0.00006667327,0.000013781841,0.00034993366,0.00019743017,0.0041956254,0.005354945,0.9810765,0.0012302784,0.0069808345],"study_design_scores_gemma":[0.000012181372,0.00006568014,0.00076533045,0.000048010752,0.000021356353,0.0011920118,0.00009176519,0.10798265,0.0034282662,0.8822467,0.004069447,0.00007655425],"about_ca_topic_score_codex":0.0004712813,"about_ca_topic_score_gemma":0.00046929784,"teacher_disagreement_score":0.007212355,"about_ca_system_score_codex":0.0008266167,"about_ca_system_score_gemma":0.00056036934,"threshold_uncertainty_score":0.024127662},"labels":[],"label_agreement":null},{"id":"W4403128527","doi":"10.1090/proc/17059","title":"Simplicial pseudohyperplane arrangements give weak Garside groups","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics","score_opus":0.021477470770682988,"score_gpt":0.2936887369393833,"score_spread":0.2722112661687003,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403128527","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.60865116,0.0007980476,0.24201806,0.0010402667,0.00026021904,0.00009112951,0.00022159587,0.0003664228,0.14655311],"genre_scores_gemma":[0.9566363,0.00039718414,0.027453603,0.0001398645,0.00010602668,0.00007083723,0.0001782299,0.00007770754,0.014940116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992755,0.00013510579,0.000041488765,0.00014058188,0.0002614669,0.00014586312],"domain_scores_gemma":[0.9993222,0.00015629723,0.00009821902,0.00013117024,0.00011821912,0.00017398508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058239774,0.00057605887,0.00041534528,0.0013840187,0.0012624087,0.0022147167,0.0004400247,0.0007008731,0.0059396727],"category_scores_gemma":[0.001121068,0.0003164152,0.0005264989,0.0006175652,0.0029022319,0.004151228,0.0049797976,0.001113681,0.00096366345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013000867,0.000004367626,0.00027872017,0.000022759945,0.000004752815,0.00010445748,0.0003303271,0.0003685886,0.0015781631,0.9915686,0.00032811676,0.0053980253],"study_design_scores_gemma":[0.000008959679,0.000030769934,0.00062241947,0.000012177785,0.000009526347,0.00031865266,0.00050193333,0.0023351866,0.0021617624,0.97951037,0.014474303,0.000013943297],"about_ca_topic_score_codex":0.00029740957,"about_ca_topic_score_gemma":0.00047249827,"teacher_disagreement_score":0.0059396727,"about_ca_system_score_codex":0.00044598046,"about_ca_system_score_gemma":0.0002617954,"threshold_uncertainty_score":0.019870162},"labels":[],"label_agreement":null},{"id":"W4404953224","doi":"10.1090/proc/17153","title":"Birkhoff-James classification of finite-dimensional 𝐶*-algebras","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Javna Agencija za Raziskovalno Dejavnost RS; Pacific Institute for the Mathematical Sciences","keywords":"Pure mathematics; Mathematics; Algebra over a field; Computer science","score_opus":0.021868431636604364,"score_gpt":0.26968086826176046,"score_spread":0.2478124366251561,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404953224","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59582514,0.0012327322,0.2593278,0.0018083254,0.00043787822,0.00010735666,0.0005587112,0.0005237855,0.14017832],"genre_scores_gemma":[0.949014,0.00047206756,0.024795186,0.00020612672,0.0002756926,0.00005109985,0.00040052793,0.000060244398,0.024725031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991015,0.00011976119,0.000071106,0.00013774284,0.00033633565,0.00023359897],"domain_scores_gemma":[0.99845994,0.00024783818,0.00026030026,0.00015227015,0.00047469503,0.00040498562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013865498,0.00040183536,0.00033571912,0.0022761056,0.0019065238,0.0036313704,0.0006700966,0.00053413305,0.0053577055],"category_scores_gemma":[0.0021768203,0.00027288188,0.0006541961,0.0014292514,0.0026682217,0.004921994,0.0015293187,0.0014688785,0.0009608672],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015112861,0.000010466276,0.00045771594,0.0000121368785,0.0000025903798,0.000017512142,0.00015913806,0.00014641247,0.00043441044,0.9947227,0.0004540799,0.003567726],"study_design_scores_gemma":[0.000008451885,0.000022669858,0.00096321356,0.000014723925,0.000008881352,0.000094024006,0.00020508743,0.0029765752,0.001425818,0.9858521,0.008406808,0.00002159473],"about_ca_topic_score_codex":0.0024276448,"about_ca_topic_score_gemma":0.0013811174,"teacher_disagreement_score":0.0053577055,"about_ca_system_score_codex":0.0016662794,"about_ca_system_score_gemma":0.0009861497,"threshold_uncertainty_score":0.017923355},"labels":[],"label_agreement":null},{"id":"W4404955263","doi":"10.1090/proc/17131","title":"Approximating rational points on surfaces","year":2024,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo; Simons Foundation","keywords":"Mathematics","score_opus":0.01244236001423306,"score_gpt":0.2652882494006703,"score_spread":0.25284588938643726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404955263","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4160474,0.002220115,0.33092263,0.0018351687,0.0007604985,0.0001237735,0.00074558577,0.0019101681,0.24543472],"genre_scores_gemma":[0.8906244,0.0011764877,0.04789092,0.00017466852,0.00028303306,0.00005864746,0.0008216596,0.0006954055,0.05827465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990332,0.00021509195,0.000039955088,0.00015556064,0.00041341214,0.00014288463],"domain_scores_gemma":[0.99915576,0.00029897713,0.000067309156,0.00014097636,0.00025082094,0.00008617868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009337226,0.0011667846,0.0009324507,0.0027891186,0.0007707209,0.0029595108,0.00077152037,0.0009042206,0.014349906],"category_scores_gemma":[0.0050669336,0.00035041003,0.00079308567,0.0013090763,0.0016347995,0.0023175164,0.0025133025,0.0017918164,0.0037293597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017212101,0.00006009839,0.002430967,0.00018698514,0.00003500444,0.000302778,0.0007902607,0.028499262,0.003595835,0.88963294,0.008052692,0.06624101],"study_design_scores_gemma":[0.000047747515,0.00011375297,0.0017260859,0.00011898594,0.000039242375,0.00030855866,0.0008435923,0.1638967,0.0037211112,0.79280263,0.036342207,0.00003941581],"about_ca_topic_score_codex":0.003149651,"about_ca_topic_score_gemma":0.0027358124,"teacher_disagreement_score":0.014349906,"about_ca_system_score_codex":0.002129212,"about_ca_system_score_gemma":0.00043807022,"threshold_uncertainty_score":0.048005223},"labels":[],"label_agreement":null},{"id":"W4405281539","doi":"10.1090/proc/17166","title":"Herglotz representation for operator-valued function on a set associated with test functions","year":2024,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ministry of Education, India; Pacific Institute for the Mathematical Sciences","keywords":"Representation (politics); Operator (biology); Set (abstract data type); Function (biology); Mathematics; Test (biology); Computer science; Geology","score_opus":0.08340297512172501,"score_gpt":0.3645059189053645,"score_spread":0.2811029437836395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405281539","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19296113,0.0011947928,0.7338543,0.0022245396,0.00057571626,0.00007145652,0.00043805622,0.00030129767,0.06837873],"genre_scores_gemma":[0.90695184,0.001057168,0.06785347,0.00056869857,0.0006051565,0.00013852607,0.0003758174,0.00028750554,0.022161856],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990688,0.00024078942,0.000037985734,0.00014366406,0.00031480065,0.00019396414],"domain_scores_gemma":[0.9992674,0.00020762284,0.00011141063,0.00012949818,0.00017950275,0.000104560335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012124474,0.0007660099,0.0008411126,0.0022254253,0.0009255863,0.0028157695,0.0011515915,0.001503618,0.005510842],"category_scores_gemma":[0.002181425,0.00023382372,0.0009693441,0.0012966057,0.0025350945,0.0039449306,0.0019777326,0.0022792981,0.0010496796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009675219,0.0000066195184,0.00008467967,0.000017266835,0.0000036340975,0.00006917736,0.00008307524,0.00070173433,0.0010337029,0.9944912,0.00039610916,0.003103061],"study_design_scores_gemma":[0.000010510247,0.000029759685,0.00018612828,0.000019881914,0.000005310418,0.00024278021,0.000091120055,0.017932994,0.0008974421,0.9775114,0.0030565148,0.000016314583],"about_ca_topic_score_codex":0.00059707835,"about_ca_topic_score_gemma":0.00032917465,"teacher_disagreement_score":0.005510842,"about_ca_system_score_codex":0.00085443316,"about_ca_system_score_gemma":0.0006564173,"threshold_uncertainty_score":0.018435597},"labels":[],"label_agreement":null},{"id":"W4405534244","doi":"10.1090/proc/17146","title":"On certain polytopes associated to products of algebraic integer conjugates","year":2024,"lang":"lv","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Polytope; Integer (computer science); Algebraic number; Conjugate; Mathematics; Combinatorics; Computer science; Algebra over a field; Pure mathematics; Programming language","score_opus":0.017557921274631433,"score_gpt":0.27461437425644747,"score_spread":0.257056452981816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405534244","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45629478,0.001150706,0.17851165,0.0017403832,0.00065292383,0.00012639281,0.0010828858,0.0005585939,0.3598817],"genre_scores_gemma":[0.88012797,0.0011323813,0.032057945,0.00041914234,0.0004608735,0.00018350313,0.0013791412,0.0005810217,0.083657965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993137,0.00012691312,0.000034479075,0.0001533211,0.00017780795,0.0001937606],"domain_scores_gemma":[0.9989962,0.00038309788,0.0002105063,0.000093179915,0.00014973327,0.00016725472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006422902,0.0010093696,0.0008079816,0.0020543907,0.002078189,0.004089227,0.0009123924,0.0008920629,0.023464909],"category_scores_gemma":[0.0026168197,0.0005259494,0.0011525182,0.0016506275,0.002502962,0.0040359073,0.0021101788,0.0024528564,0.0045329137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006579513,0.00002516149,0.00024693692,0.000057234007,0.000008439142,0.0001687386,0.00018914434,0.0017365072,0.0005849946,0.98903686,0.0027931854,0.00508705],"study_design_scores_gemma":[0.000036613634,0.000052218827,0.00063452683,0.000052498905,0.000015346173,0.00030055593,0.00030087313,0.012297147,0.0011504053,0.97107536,0.014056151,0.000028357248],"about_ca_topic_score_codex":0.0012727554,"about_ca_topic_score_gemma":0.0018592533,"teacher_disagreement_score":0.023464909,"about_ca_system_score_codex":0.001892307,"about_ca_system_score_gemma":0.0005715172,"threshold_uncertainty_score":0.078497946},"labels":[],"label_agreement":null},{"id":"W4406417624","doi":"10.1090/proc/17204","title":"Almost sure central limit theorem for the hyperbolic Anderson model with Lévy white noise","year":2025,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"White noise; Central limit theorem; Limit (mathematics); White (mutation); Noise (video); Mathematics; Mathematical analysis; Computer science; Statistics","score_opus":0.034647123659810194,"score_gpt":0.29482599009752436,"score_spread":0.26017886643771415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406417624","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04796371,0.001323441,0.9389805,0.0014082555,0.00017574344,0.000052778323,0.00016079824,0.00020146012,0.009733176],"genre_scores_gemma":[0.9057927,0.0017567647,0.07683873,0.0012431751,0.0005478358,0.00046370318,0.00028779273,0.0002889015,0.012780266],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980856,0.0006758158,0.00008422824,0.0003550224,0.00050439173,0.0002949537],"domain_scores_gemma":[0.990108,0.0056320466,0.0013066016,0.0006241296,0.0015153056,0.0008139835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0068960255,0.0011162981,0.0017574313,0.0019655873,0.0011608282,0.0022597548,0.002958924,0.0017390638,0.0044263517],"category_scores_gemma":[0.01473375,0.0005075582,0.0024281659,0.00093647506,0.0047227624,0.0044345506,0.0036008218,0.0031663645,0.0005284897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034858087,0.000026565767,0.0005150709,0.00009241651,0.00005995956,0.00015885952,0.00013843374,0.022239465,0.0016527239,0.9711223,0.000896611,0.0030628655],"study_design_scores_gemma":[0.00002887692,0.00006766964,0.00046392,0.00003878395,0.00003371093,0.00018504781,0.00006787685,0.46286386,0.0009475573,0.53360045,0.0016464317,0.00005575411],"about_ca_topic_score_codex":0.0021766494,"about_ca_topic_score_gemma":0.0013633572,"teacher_disagreement_score":0.0068960255,"about_ca_system_score_codex":0.0019806318,"about_ca_system_score_gemma":0.0024982542,"threshold_uncertainty_score":0.036470056},"labels":[],"label_agreement":null},{"id":"W4406930990","doi":"10.1090/proc/16932","title":"Equivalence of definitions of AF groupoid","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Marsden Fund","keywords":"Equivalence (formal languages); Mathematics; Double groupoid; Algebra over a field; Pure mathematics; Computer science","score_opus":0.05256816273366256,"score_gpt":0.35266039588980036,"score_spread":0.3000922331561378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406930990","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09323612,0.008601799,0.72162825,0.0040825647,0.0017451481,0.00020701459,0.0005805918,0.0004912432,0.16942726],"genre_scores_gemma":[0.7668409,0.0040272013,0.20792942,0.0019045608,0.0014204914,0.0004610055,0.0010406887,0.00035504968,0.01602064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99146664,0.0030212654,0.0009055959,0.0018757907,0.0020915102,0.00063916005],"domain_scores_gemma":[0.99257964,0.0029693954,0.00045552247,0.0013121418,0.0022443596,0.00043895785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006091797,0.0006528707,0.0009672224,0.0041494286,0.0026947202,0.0043584984,0.0017411992,0.0014999234,0.006029874],"category_scores_gemma":[0.012409442,0.00043930218,0.001499066,0.0026732362,0.0084876185,0.013994445,0.0063582603,0.0049456926,0.0013060047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015494972,0.00000850252,0.00013802736,0.000038470796,0.0000064555707,0.000055611315,0.00093441206,0.00008878319,0.00027064062,0.9921367,0.0005417721,0.005765163],"study_design_scores_gemma":[0.000012840767,0.000056079214,0.0002954303,0.000067263616,0.000014609046,0.00035779114,0.0007184364,0.000770625,0.00072224846,0.95691013,0.04005112,0.000023342853],"about_ca_topic_score_codex":0.001113881,"about_ca_topic_score_gemma":0.00048565303,"teacher_disagreement_score":0.006091797,"about_ca_system_score_codex":0.0021196313,"about_ca_system_score_gemma":0.0008076609,"threshold_uncertainty_score":0.032216907},"labels":[],"label_agreement":null},{"id":"W4407477361","doi":"10.1090/proc/17239","title":"Borel complexity of the isomorphism relation of Archimedean orders in finitely generated groups","year":2025,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"National Research Council Canada","keywords":"Isomorphism (crystallography); Mathematics; Finitely-generated abelian group; Relation (database); Pure mathematics; Combinatorics; Computer science","score_opus":0.03629321683115332,"score_gpt":0.26855942363108415,"score_spread":0.23226620679993082,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407477361","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.82426155,0.002753931,0.08239721,0.008907577,0.00021740743,0.00006268085,0.0007480579,0.00042609684,0.080225445],"genre_scores_gemma":[0.98286843,0.0005370551,0.006500019,0.0003667906,0.00028779323,0.00005328353,0.00060148723,0.00008977256,0.008695473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968876,0.00078783504,0.00017448064,0.0007188009,0.00088562584,0.000545658],"domain_scores_gemma":[0.99170375,0.005490461,0.00056262116,0.0007445275,0.0007658845,0.00073280395],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016709317,0.00061648135,0.0011053676,0.0023702742,0.0024692994,0.005695315,0.0010049696,0.00135253,0.007115743],"category_scores_gemma":[0.0082362965,0.0006201326,0.0015519313,0.0017497878,0.0056810435,0.012460721,0.0037844018,0.004003454,0.0006850704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000075472664,0.00003444714,0.0014626666,0.000040265564,0.000016888462,0.000068044734,0.00071473466,0.0009855792,0.0005063348,0.99127626,0.000792594,0.004026592],"study_design_scores_gemma":[0.000016325886,0.000020327489,0.00094267965,0.000010598008,0.0000105510535,0.000051507795,0.00017910765,0.002776293,0.00053545565,0.9931003,0.0023412476,0.000015571884],"about_ca_topic_score_codex":0.003479699,"about_ca_topic_score_gemma":0.0022125798,"teacher_disagreement_score":0.007115743,"about_ca_system_score_codex":0.0039450414,"about_ca_system_score_gemma":0.0010728856,"threshold_uncertainty_score":0.028623402},"labels":[],"label_agreement":null},{"id":"W4407744062","doi":"10.1090/proc/17251","title":"DTC sets for convolution algebras","year":2025,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convolution (computer science); Mathematics; Algebra over a field; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.021172692226169305,"score_gpt":0.29224305499164416,"score_spread":0.27107036276547486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407744062","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038225815,0.002556402,0.6610668,0.0036702836,0.0016616369,0.0002556141,0.004325164,0.003213806,0.2850245],"genre_scores_gemma":[0.54987043,0.0023986048,0.23680691,0.0034968539,0.0017853754,0.0010676347,0.00900624,0.0024823605,0.19308561],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959378,0.0007645603,0.00042846325,0.0009371001,0.0013829051,0.000549178],"domain_scores_gemma":[0.9959824,0.0012497486,0.00028637235,0.0007719432,0.0012908716,0.00041869897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024370572,0.0011968879,0.0013171547,0.0038509287,0.004529182,0.0064018676,0.0020691138,0.0018307526,0.03717614],"category_scores_gemma":[0.0068125115,0.0007467253,0.0028060179,0.003051545,0.0027382777,0.009563906,0.0047450014,0.004558361,0.010600918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021811698,0.000014460827,0.000073741394,0.000039948456,0.0000075109115,0.000058875863,0.00011540215,0.00035967692,0.00025238763,0.98820704,0.0039689397,0.006880103],"study_design_scores_gemma":[0.00001095771,0.00001002019,0.000077701625,0.000027302014,0.000009653559,0.0000969597,0.000067067354,0.003901606,0.00069538783,0.9713742,0.02371051,0.00001858995],"about_ca_topic_score_codex":0.0033028428,"about_ca_topic_score_gemma":0.002938614,"teacher_disagreement_score":0.03717614,"about_ca_system_score_codex":0.0052991244,"about_ca_system_score_gemma":0.0018623141,"threshold_uncertainty_score":0.12436658},"labels":[],"label_agreement":null},{"id":"W4409121235","doi":"10.1090/proc/17139","title":"Spanning trees in pseudorandom graphs via sorting networks","year":2025,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Cooperative Communication and Network Coding","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 Victoria","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Comisión Nacional de Investigación Científica y Tecnológica; European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Pseudorandom number generator; Spanning tree; Computer science; Sorting; Combinatorics; Mathematics; Algorithm","score_opus":0.017568794092700138,"score_gpt":0.277140470574157,"score_spread":0.2595716764814569,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409121235","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23355842,0.0007632752,0.71602976,0.0033921257,0.00013772746,0.00027740418,0.001598552,0.0024590832,0.041783568],"genre_scores_gemma":[0.79392046,0.0014123389,0.1685396,0.0011444647,0.00014848901,0.00049552874,0.0024467707,0.00062299625,0.03126928],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988594,0.0003878381,0.00007278424,0.00025250192,0.00026535816,0.00016212527],"domain_scores_gemma":[0.9936306,0.0040466744,0.000685122,0.0007086469,0.00060043024,0.00032852075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012148746,0.0006423505,0.00060793775,0.0017037094,0.001197526,0.0023626024,0.0010819667,0.0016637612,0.010018431],"category_scores_gemma":[0.011941942,0.00053729455,0.00073741,0.002020743,0.0013011446,0.0049426476,0.0020350388,0.0012176638,0.0022844416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022873735,0.00009760856,0.0018119168,0.00026690663,0.000041123058,0.00030829915,0.0004882176,0.09814147,0.0038369747,0.8221779,0.012547557,0.060053308],"study_design_scores_gemma":[0.0000654637,0.00004829651,0.0005805348,0.000060084665,0.000032617936,0.0002845124,0.00012922513,0.282874,0.002536765,0.7046699,0.008696014,0.000022628956],"about_ca_topic_score_codex":0.001703985,"about_ca_topic_score_gemma":0.0032472492,"teacher_disagreement_score":0.010018431,"about_ca_system_score_codex":0.0018171584,"about_ca_system_score_gemma":0.001207019,"threshold_uncertainty_score":0.033515036},"labels":[],"label_agreement":null},{"id":"W4410852416","doi":"10.1090/proc/17217","title":"A dynamical Shafarevich theorem for endomorphisms of ℙ^{ℕ}","year":2025,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","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":"National Science Foundation","keywords":"Endomorphism; Mathematics; Pure mathematics; Dynamical systems theory; Calculus (dental); Mathematical economics; Algebra over a field; Physics; Medicine; Quantum mechanics","score_opus":0.016487453012743323,"score_gpt":0.30004400974325496,"score_spread":0.2835565567305116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410852416","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3336667,0.0010363281,0.34017912,0.004620491,0.0012811426,0.00010640662,0.0007543975,0.0010013261,0.31735408],"genre_scores_gemma":[0.9240944,0.0005630706,0.020194668,0.0008697316,0.0004551198,0.00010244547,0.0005515081,0.00033443733,0.052834712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880445,0.00015998763,0.000062639265,0.00033735644,0.00031407003,0.00032150478],"domain_scores_gemma":[0.99888223,0.00034267726,0.00014136019,0.00015249444,0.00030332725,0.00017791805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009654564,0.0007599113,0.0005364382,0.0013099301,0.0024167798,0.0032756748,0.000891946,0.00097004074,0.0146934],"category_scores_gemma":[0.0021462862,0.00047189245,0.0016763957,0.0006904957,0.003023527,0.006488239,0.0033190963,0.0025871203,0.0021558355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017196964,0.000011790671,0.00021234616,0.000016067994,0.0000054836105,0.00006966358,0.00018046162,0.0002457299,0.00055224786,0.99516886,0.0008780738,0.0026420623],"study_design_scores_gemma":[0.000021958414,0.000030895208,0.00035203408,0.000018439101,0.00001021613,0.00013888565,0.0001718606,0.0028761888,0.0016482811,0.9837515,0.010961245,0.000018639561],"about_ca_topic_score_codex":0.0020033866,"about_ca_topic_score_gemma":0.0011188266,"teacher_disagreement_score":0.0146934,"about_ca_system_score_codex":0.00222352,"about_ca_system_score_gemma":0.0008543513,"threshold_uncertainty_score":0.04915434},"labels":[],"label_agreement":null},{"id":"W4411336254","doi":"10.1090/proc/17258","title":"The uniform Gardner conjecture and rounding Borel flows","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","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":"H2020 European Research Council; Nemzeti Kutatási, Fejlesztési és Innovaciós Alap; Natural Sciences and Engineering Research Council of Canada; Magyar Tudományos Akadémia","keywords":"Rounding; Conjecture; Mathematics; Combinatorics; Computer science","score_opus":0.011139101409084045,"score_gpt":0.2806096717312174,"score_spread":0.2694705703221334,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411336254","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76858515,0.000712054,0.112836935,0.0019236929,0.00014920709,0.00006100836,0.00022331685,0.00051811675,0.11499062],"genre_scores_gemma":[0.98447245,0.0002012382,0.004627881,0.00019788697,0.00007741875,0.00003742805,0.00015341489,0.000048088004,0.010184145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983911,0.0003497268,0.000072644725,0.00038137424,0.0004070427,0.00039816147],"domain_scores_gemma":[0.9970325,0.0015707682,0.00031760952,0.0004210597,0.00025960756,0.00039847457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015653342,0.00057814515,0.00083512254,0.0013039501,0.0017844763,0.0037623043,0.0008233489,0.0012217456,0.010123982],"category_scores_gemma":[0.009306508,0.00036534073,0.0007476991,0.0009528533,0.0035720465,0.0046743536,0.0029025397,0.0016968005,0.000876572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046707635,0.000016523209,0.0006712107,0.000019348749,0.0000060398215,0.00009569528,0.00021762653,0.0023406027,0.0005142073,0.9920529,0.00052805984,0.00349108],"study_design_scores_gemma":[0.00003634002,0.000035622463,0.00042720974,0.000021715558,0.000010505135,0.000119949575,0.0002930885,0.013987932,0.0014637482,0.9809114,0.002676912,0.000015534393],"about_ca_topic_score_codex":0.0015495324,"about_ca_topic_score_gemma":0.0008724943,"teacher_disagreement_score":0.010123982,"about_ca_system_score_codex":0.0017281133,"about_ca_system_score_gemma":0.0005429095,"threshold_uncertainty_score":0.033868074},"labels":[],"label_agreement":null},{"id":"W4412969805","doi":"10.1090/proc/17320","title":"Open graphs and Tukey order","year":2025,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science; Artificial intelligence; Annotation","score_opus":0.019396964075518497,"score_gpt":0.3205074959984511,"score_spread":0.3011105319229326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412969805","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.051941413,0.0030123722,0.506956,0.0051697,0.0016401234,0.00012487304,0.0018560387,0.002251799,0.42704773],"genre_scores_gemma":[0.65684426,0.0030898438,0.14390753,0.0024826028,0.0021305603,0.0003013736,0.0025685765,0.0018102819,0.18686491],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965526,0.0011901566,0.0002061821,0.0008880171,0.000716803,0.00044620188],"domain_scores_gemma":[0.99242216,0.0035091573,0.0007301816,0.001338,0.001455326,0.0005452838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026051656,0.0007819769,0.0009197784,0.002440316,0.0025632274,0.004029547,0.0008805409,0.00090700336,0.03347562],"category_scores_gemma":[0.009737956,0.0004490151,0.0015726307,0.0024054511,0.00512706,0.006506464,0.002926551,0.003046275,0.0076027815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025286874,0.000009603262,0.00008734672,0.000027253402,0.000005577902,0.000018423032,0.00016966533,0.00037795462,0.00011802468,0.9867279,0.0033347858,0.009098072],"study_design_scores_gemma":[0.0000074271065,0.000009650167,0.000089327754,0.000007981873,0.0000027927213,0.00001954421,0.000060015303,0.0007764861,0.00015177291,0.9876177,0.011250821,0.0000065918157],"about_ca_topic_score_codex":0.0033469032,"about_ca_topic_score_gemma":0.0045609456,"teacher_disagreement_score":0.03347562,"about_ca_system_score_codex":0.002567702,"about_ca_system_score_gemma":0.0014893656,"threshold_uncertainty_score":0.111987054},"labels":[],"label_agreement":null},{"id":"W4414459966","doi":"10.1090/proc/17352","title":"Quasi-arithmetic hyperbolic Coxeter prisms","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Russian Science Foundation; King Abdullah University of Science and Technology","keywords":"Coxeter group; Commensurability (mathematics); Class (philosophy); Reflection (computer programming); Graph","score_opus":0.014277987206122379,"score_gpt":0.2835197197212951,"score_spread":0.2692417325151727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414459966","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.79957455,0.0010898001,0.08485693,0.00058254297,0.00037896875,0.000085173524,0.0005218633,0.00030888713,0.11260128],"genre_scores_gemma":[0.9703517,0.0004955163,0.015588575,0.00007103226,0.000049987535,0.000020030522,0.00033450176,0.00003168907,0.013056879],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99982375,0.000018609331,0.0000102236145,0.0000372982,0.000069193105,0.000040840987],"domain_scores_gemma":[0.99974996,0.00005848358,0.00004248405,0.00004155932,0.00006931169,0.00003814931],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020803914,0.00028314194,0.000174865,0.0008564212,0.00076374266,0.0012432087,0.0003314416,0.00027456722,0.005238603],"category_scores_gemma":[0.0007901004,0.00019431762,0.00024411734,0.00049205666,0.0014541288,0.0015123592,0.0009186635,0.0011458849,0.0006880685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052381103,0.000014921753,0.0021027287,0.00008575795,0.0000104405335,0.00026134364,0.00052396866,0.0022826556,0.0065705674,0.9655001,0.001143435,0.021451667],"study_design_scores_gemma":[0.000064222804,0.00017157404,0.009620289,0.00011432065,0.000057107005,0.0022943658,0.0018997593,0.015112914,0.018505828,0.87151325,0.08055908,0.000087339344],"about_ca_topic_score_codex":0.0006974669,"about_ca_topic_score_gemma":0.0007284074,"teacher_disagreement_score":0.005238603,"about_ca_system_score_codex":0.00041882822,"about_ca_system_score_gemma":0.00041373755,"threshold_uncertainty_score":0.017524838},"labels":[],"label_agreement":null},{"id":"W4415479807","doi":"10.1090/proc/17389","title":"Bispectrality of the sieved Jacobi polynomials","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical functions and polynomials","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","keywords":"Gegenbauer polynomials; Jacobi polynomials; Jacobi operator; Classical orthogonal polynomials; Orthogonal polynomials; Wilson polynomials; Discrete orthogonal polynomials; Differential operator; Eigenfunction","score_opus":0.021369037584103655,"score_gpt":0.3031939854777456,"score_spread":0.281824947893642,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415479807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7544737,0.00030442668,0.18199238,0.0004466624,0.00016562342,0.000032856187,0.00015970621,0.00021685664,0.06220793],"genre_scores_gemma":[0.9792285,0.00016224095,0.011701775,0.000063640284,0.00006183913,0.000016991755,0.00007025492,0.0000643013,0.008630468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949753,0.00007207572,0.000017522454,0.000088494664,0.0002051874,0.00011916348],"domain_scores_gemma":[0.9993005,0.0001438209,0.00010849619,0.00008585768,0.00022264288,0.00013864717],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000357699,0.0003895385,0.00026131936,0.0014757912,0.0006303807,0.0017305104,0.0004388947,0.00040826804,0.004656878],"category_scores_gemma":[0.001918516,0.00023095858,0.00028883628,0.0005679433,0.001608827,0.0016514426,0.0009774757,0.0011365424,0.0006134289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047651432,0.000019597332,0.00030834007,0.0000209752,0.0000034706866,0.00010387217,0.00014859757,0.0046392903,0.009906307,0.9754028,0.0004981943,0.0089008855],"study_design_scores_gemma":[0.00001581947,0.000042393276,0.0010264106,0.000019758165,0.000004833241,0.00048796387,0.00018796024,0.14371786,0.0132984575,0.8370393,0.0041085645,0.00005072572],"about_ca_topic_score_codex":0.0007308856,"about_ca_topic_score_gemma":0.0006059515,"teacher_disagreement_score":0.004656878,"about_ca_system_score_codex":0.0006925922,"about_ca_system_score_gemma":0.0004913599,"threshold_uncertainty_score":0.015578806},"labels":[],"label_agreement":null},{"id":"W4415483660","doi":"10.1090/proc/17364","title":"Well-distribution modulo one and the primes","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Simons Foundation; National Science Foundation","keywords":"Modulo; Sequence (biology); Prime (order theory); Irrational number; Property (philosophy); Prime number","score_opus":0.01928873470297559,"score_gpt":0.30921071629129915,"score_spread":0.28992198158832355,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415483660","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16576289,0.005306185,0.25005013,0.013551431,0.0017923659,0.00008536852,0.0011530907,0.0023610422,0.5599374],"genre_scores_gemma":[0.8829162,0.002498896,0.03803853,0.0012752212,0.0010441864,0.00009667314,0.0007125855,0.0008980862,0.072519615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981824,0.0005354157,0.00011398131,0.00051620696,0.00034441377,0.00030757466],"domain_scores_gemma":[0.9972874,0.0013214927,0.0001991705,0.00049698714,0.000458695,0.00023632085],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002066007,0.0009215798,0.0009781612,0.0020748551,0.002759367,0.0047494737,0.0007211005,0.0008495034,0.012505494],"category_scores_gemma":[0.0059379498,0.0005216552,0.0010564624,0.0017292917,0.005595515,0.01039698,0.0026632447,0.0037524127,0.0042131264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021945918,0.0000055788555,0.00009414571,0.000014862016,0.0000022865224,0.000051086117,0.00016549343,0.00019768305,0.0001331108,0.99254096,0.0023464588,0.0044263555],"study_design_scores_gemma":[0.0000068475324,0.0000063960015,0.000093326074,0.0000133070525,0.0000047669723,0.00007356169,0.000083838895,0.00069910806,0.00042311454,0.9889931,0.00959301,0.00000954616],"about_ca_topic_score_codex":0.0020271798,"about_ca_topic_score_gemma":0.0014191652,"teacher_disagreement_score":0.012505494,"about_ca_system_score_codex":0.0028414002,"about_ca_system_score_gemma":0.0013192621,"threshold_uncertainty_score":0.04183507},"labels":[],"label_agreement":null},{"id":"W4416664455","doi":"10.1090/proc/17451","title":"Strong shortcuts, generating sets, and isometric circles in asymptotic cones","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Product (mathematics); Graph; Isometric exercise; Group (periodic table); Cayley graph; Direct product","score_opus":0.02408038061989656,"score_gpt":0.3119998782965818,"score_spread":0.2879194976766853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416664455","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.90102047,0.00036866317,0.06673054,0.0003334618,0.000053843956,0.000019107416,0.00007889461,0.00018133505,0.0312137],"genre_scores_gemma":[0.99008614,0.00010762677,0.006500094,0.00004007365,0.000030185493,0.000015149353,0.00007961834,0.00003002895,0.0031111282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99969864,0.0000556581,0.000014426077,0.000067622976,0.00009848192,0.000065246335],"domain_scores_gemma":[0.9983072,0.0006198094,0.00035099947,0.00020945209,0.0002162148,0.00029634315],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039477032,0.00034199303,0.00030771518,0.0011846523,0.0010749225,0.0014457515,0.0005741226,0.000701756,0.0039870087],"category_scores_gemma":[0.0023730136,0.0001955268,0.00034838513,0.0005705411,0.0017911709,0.002145106,0.0013285183,0.0012824989,0.0002951982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003376246,0.00001923052,0.001102936,0.000024347426,0.000005266404,0.0003528956,0.0002777048,0.0024634828,0.003284501,0.98630893,0.0005000999,0.0056267735],"study_design_scores_gemma":[0.000012706871,0.00005068184,0.0008784908,0.000015567537,0.0000073439683,0.00040468638,0.00026688422,0.017170303,0.0028306018,0.9747034,0.0036434573,0.000015945101],"about_ca_topic_score_codex":0.00065694517,"about_ca_topic_score_gemma":0.00079969637,"teacher_disagreement_score":0.0039870087,"about_ca_system_score_codex":0.00046646193,"about_ca_system_score_gemma":0.0001601874,"threshold_uncertainty_score":0.01333791},"labels":[],"label_agreement":null},{"id":"W4416667973","doi":"10.1090/proc/17463","title":"Hopf-Lax approximation for value functions of Lévy optimal control problems","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Deutsche Forschungsgemeinschaft","keywords":"Optimal control; Separable space; Bellman equation; Function (biology); Operator (biology); Banach space; Convergence (economics); Stochastic control; Consistency (knowledge bases)","score_opus":0.014024840692382624,"score_gpt":0.22734516571750102,"score_spread":0.21332032502511838,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416667973","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07746542,0.00094065256,0.91024274,0.00081535394,0.00011902091,0.00007034178,0.000029318371,0.00007820037,0.01023892],"genre_scores_gemma":[0.8672091,0.001338152,0.11674122,0.00029495746,0.000188618,0.00027443102,0.000089014204,0.0001398752,0.013724635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884063,0.0004958509,0.000057910253,0.00011187154,0.00033779253,0.0001559663],"domain_scores_gemma":[0.99607193,0.0022952643,0.0003947622,0.00017553807,0.00064327446,0.00041924312],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005414652,0.0012621502,0.001106048,0.0017536393,0.0011584068,0.0027952166,0.00145395,0.002013427,0.0023280391],"category_scores_gemma":[0.014408173,0.0005014366,0.0012542522,0.0007224793,0.004308508,0.0049621295,0.0029977243,0.0027239837,0.00034685113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002772844,0.000023096283,0.00033479262,0.00005180602,0.000015785334,0.00008901401,0.00016083391,0.039030086,0.0017328088,0.9557583,0.00018534587,0.0025905098],"study_design_scores_gemma":[0.000017751368,0.00003395352,0.00010523082,0.000030150055,0.000007790498,0.00003937457,0.00007052417,0.6012381,0.0008212613,0.3969897,0.0006273925,0.000018793238],"about_ca_topic_score_codex":0.0021579785,"about_ca_topic_score_gemma":0.0010714291,"teacher_disagreement_score":0.005414652,"about_ca_system_score_codex":0.002511332,"about_ca_system_score_gemma":0.0020959608,"threshold_uncertainty_score":0.02863574},"labels":[],"label_agreement":null},{"id":"W4416667981","doi":"10.1090/proc/17341","title":"Exotic definite four-manifolds with non-cyclic fundamental group","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pairwise comparison; Group (periodic table); Construct (python library); Fundamental group; Existential quantification","score_opus":0.025057850151749717,"score_gpt":0.2663807396086971,"score_spread":0.2413228894569474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416667981","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.785584,0.0002114978,0.11002823,0.00083577086,0.00033957243,0.000055634562,0.00022898504,0.0006426621,0.102073774],"genre_scores_gemma":[0.94685256,0.00014083459,0.029970828,0.00016372597,0.00007348161,0.000037396898,0.0002864566,0.00019668977,0.022278115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971074,0.000058766866,0.000015018621,0.000056340217,0.000098774224,0.000060316743],"domain_scores_gemma":[0.99971324,0.000037083442,0.00004200482,0.000058075435,0.000060029335,0.000089593785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034463577,0.0006925116,0.00037171965,0.0014191524,0.0013295213,0.001326321,0.0005691769,0.0006969592,0.006163498],"category_scores_gemma":[0.0007173988,0.0002772062,0.00075203733,0.0005134969,0.0016527899,0.0018877877,0.0022666126,0.0012659825,0.00093273236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032554006,0.000019830111,0.00028428074,0.000030271527,0.000007388195,0.0001360485,0.00024289794,0.0013218613,0.003263114,0.9883526,0.00094371685,0.005365478],"study_design_scores_gemma":[0.000035200635,0.0001590707,0.0014005853,0.000030843086,0.000023991655,0.0006582566,0.00066634157,0.02035829,0.0069150026,0.94733524,0.022372093,0.000044916284],"about_ca_topic_score_codex":0.00077050825,"about_ca_topic_score_gemma":0.0010985316,"teacher_disagreement_score":0.006163498,"about_ca_system_score_codex":0.0011531326,"about_ca_system_score_gemma":0.0003458836,"threshold_uncertainty_score":0.020618975},"labels":[],"label_agreement":null},{"id":"W4416917285","doi":"10.1090/proc/17495","title":"A simple proof of curvature estimates for the 𝑛-1 Hessian equation","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Curvature; Simple (philosophy); Hessian matrix; Hessian equation; Mean curvature; Center of curvature","score_opus":0.04114189775162259,"score_gpt":0.34845218365064656,"score_spread":0.307310285899024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416917285","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027578317,0.008647175,0.7963501,0.013035507,0.00473813,0.00025319585,0.0016315321,0.0015783262,0.1461878],"genre_scores_gemma":[0.53937095,0.010080053,0.2983427,0.006608882,0.0044926186,0.0006548505,0.0018333301,0.0020342981,0.13658237],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992213,0.00014180642,0.00005054128,0.0001384194,0.00037540216,0.000072496805],"domain_scores_gemma":[0.9984407,0.0006061504,0.000112818125,0.00017070238,0.0005176747,0.00015202115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015586917,0.0021420615,0.0011134683,0.0026851657,0.0009436274,0.001265425,0.0018483064,0.0013794965,0.014686215],"category_scores_gemma":[0.0065113325,0.000717539,0.0026284496,0.0011472075,0.0018852907,0.0038937295,0.0045484602,0.0049386458,0.0040012454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044553988,0.00005839156,0.0005760315,0.00051564927,0.000092232374,0.00053103914,0.000601019,0.0035071876,0.010293692,0.89926904,0.03911008,0.045401044],"study_design_scores_gemma":[0.000033963974,0.00007813528,0.0021698452,0.00010108024,0.00008921891,0.0007111575,0.000118912554,0.026508596,0.004656796,0.8981198,0.06729063,0.00012195547],"about_ca_topic_score_codex":0.0029836087,"about_ca_topic_score_gemma":0.0029050314,"teacher_disagreement_score":0.014686215,"about_ca_system_score_codex":0.0015921731,"about_ca_system_score_gemma":0.00083480903,"threshold_uncertainty_score":0.04913032},"labels":[],"label_agreement":null},{"id":"W4417328932","doi":"10.1090/proc/17450","title":"Explicit Deuring–Heilbronn phenomenon for Dirichlet 𝐿-functions","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Phenomenon; Dirichlet distribution; Zero (linguistics); Modulo; Limit (mathematics)","score_opus":0.034769966359503975,"score_gpt":0.34036609947732793,"score_spread":0.30559613311782396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417328932","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3253894,0.0021975099,0.30174193,0.0064044534,0.000832192,0.00010680534,0.00029336323,0.0011196804,0.36191466],"genre_scores_gemma":[0.9305843,0.001003823,0.02555094,0.0007433545,0.0004504863,0.00014893684,0.00023313121,0.00049770245,0.040787164],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990722,0.00019139961,0.000041929114,0.00016053616,0.0002895872,0.0002443877],"domain_scores_gemma":[0.99784696,0.0009121871,0.0002221696,0.00025322504,0.00037394816,0.00039146942],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019638266,0.0013541771,0.0010918067,0.0028032614,0.0023601435,0.0029369087,0.0017913637,0.0017965271,0.012770495],"category_scores_gemma":[0.0074377838,0.00048623385,0.0014097812,0.0006789917,0.003766956,0.004755877,0.0035435557,0.0039364207,0.0022664086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028548815,0.000011549293,0.00027005112,0.000054480264,0.0000050792833,0.0001002268,0.00015918513,0.000766234,0.0018676235,0.99270517,0.0013652155,0.0026665067],"study_design_scores_gemma":[0.00002183425,0.000038235245,0.0006455602,0.00006296062,0.000014820036,0.00038405822,0.00015506188,0.030806793,0.003083556,0.9596643,0.005080132,0.000042795644],"about_ca_topic_score_codex":0.0012989881,"about_ca_topic_score_gemma":0.0009567601,"teacher_disagreement_score":0.012770495,"about_ca_system_score_codex":0.0021781411,"about_ca_system_score_gemma":0.00084028865,"threshold_uncertainty_score":0.04272157},"labels":[],"label_agreement":null},{"id":"W815198302","doi":"10.1090/s0002-9939-02-06772-2","title":"The rational LS-category of 𝑘-trivial fibrations","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Fibration; Holonomy; Triviality; Mathematics; Measure (data warehouse); Combinatorics; Pure mathematics; Duality (order theory); Discrete mathematics; Computer science","score_opus":0.027459078564534924,"score_gpt":0.2809928987958517,"score_spread":0.25353382023131676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W815198302","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21518776,0.0030690604,0.43715912,0.0038243113,0.0008764155,0.00012517144,0.001748994,0.0040712147,0.33393803],"genre_scores_gemma":[0.89967746,0.0012078976,0.05015098,0.0005516823,0.00060925854,0.0001461159,0.0014322998,0.00075744634,0.045466922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964527,0.0005000785,0.00032304804,0.00070256804,0.001298641,0.00072293525],"domain_scores_gemma":[0.9964826,0.001015604,0.00022934521,0.0003547787,0.0014490392,0.00046860185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021842862,0.0013060773,0.0008407728,0.004849907,0.002413494,0.0057828086,0.001358698,0.0012587868,0.019684786],"category_scores_gemma":[0.0033122934,0.0008496346,0.0016120962,0.001754308,0.0046610325,0.010084002,0.0052222433,0.002719371,0.0049405047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038527876,0.000013560888,0.00043175378,0.00008707367,0.000012113742,0.00014175392,0.00055955665,0.00038350106,0.0012038804,0.9873707,0.0020843197,0.007673233],"study_design_scores_gemma":[0.000018508259,0.000043422486,0.0012520539,0.00007183156,0.00004571242,0.0004448057,0.0007498094,0.0049137888,0.004511628,0.94308954,0.04479451,0.000064524196],"about_ca_topic_score_codex":0.0026676382,"about_ca_topic_score_gemma":0.0017319798,"teacher_disagreement_score":0.019684786,"about_ca_system_score_codex":0.002975318,"about_ca_system_score_gemma":0.00071197737,"threshold_uncertainty_score":0.065852165},"labels":[],"label_agreement":null},{"id":"W91034643","doi":"10.1090/s0002-9939-01-05995-0","title":"Continuous selections and 𝐶-spaces","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nipissing University","funders":"","keywords":"Paracompact space; Countable set; Characterization (materials science); Mathematics; Discrete mathematics; Pure mathematics; Physics; Hausdorff space","score_opus":0.016049554637113814,"score_gpt":0.2926351746786641,"score_spread":0.2765856200415503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W91034643","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34655887,0.0024557605,0.42544147,0.0023929926,0.00051381567,0.00008527174,0.00067452673,0.0011717896,0.22070555],"genre_scores_gemma":[0.91445637,0.000640259,0.03963639,0.00034794828,0.00026474803,0.000103279315,0.0004888068,0.00025204127,0.043810006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99780816,0.00058567856,0.0001370639,0.0004754874,0.00071816414,0.00027541822],"domain_scores_gemma":[0.99700755,0.0015419555,0.0002158131,0.00027935056,0.00058504345,0.00037033035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011653962,0.0008391924,0.0007629523,0.002048015,0.0025347027,0.004525565,0.0010246871,0.00088309386,0.012578521],"category_scores_gemma":[0.0031279484,0.00049454736,0.0012274624,0.0017118965,0.004392439,0.004677068,0.0035349592,0.0023254016,0.0016843821],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035019093,0.000009224686,0.00019890533,0.00003491258,0.000008422851,0.00011173955,0.00023629965,0.00048779004,0.00092151243,0.99339265,0.00061585044,0.003947625],"study_design_scores_gemma":[0.00002203672,0.00007927641,0.0005323593,0.000032861302,0.000021298432,0.00036974365,0.00051570585,0.008951053,0.0029490937,0.9702884,0.016208263,0.000029962306],"about_ca_topic_score_codex":0.0015464298,"about_ca_topic_score_gemma":0.0015146832,"teacher_disagreement_score":0.012578521,"about_ca_system_score_codex":0.0021744922,"about_ca_system_score_gemma":0.0007645688,"threshold_uncertainty_score":0.04207933},"labels":[],"label_agreement":null}]}