{"meta":{"query_hash":"b1df33e6d0c2","filters":{"venue":"Mathematical Notes"},"cohort_total":14,"direct_labels_cover":0,"predictions_cover":14,"exported":14,"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/b1df33e6d0c2","api":"https://metacan.xera.ac/api/v1/cohort?venue=Mathematical+Notes"},"results":[{"id":"W1974332196","doi":"10.1007/s11006-005-0077-0","title":"On the Properties of Accretive-Dissipative Matrices","year":2005,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":36,"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 Waterloo","funders":"","keywords":"Mathematics; Dissipative system; Pure mathematics; Physics; Thermodynamics","score_opus":0.030308342739040272,"score_gpt":0.25266497504724844,"score_spread":0.22235663230820818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974332196","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45900455,0.00028420863,0.50832593,0.014545818,0.000069012895,0.00046803866,0.000004060675,0.0001933253,0.017105052],"genre_scores_gemma":[0.97811455,0.000003179654,0.02144634,0.00021004883,0.00004078352,0.000017205115,8.132802e-8,0.0000049268465,0.00016288609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991858,0.00009008558,0.00019980437,0.00014633595,0.00023228549,0.00014569303],"domain_scores_gemma":[0.99831736,0.001173713,0.00007730295,0.00035253368,0.000042450072,0.00003663513],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039122213,0.00010109079,0.00015146912,0.000035861398,0.00008320708,0.00005925344,0.0006386703,0.000029662684,0.00019307423],"category_scores_gemma":[0.0006081825,0.00004919881,0.00006099181,0.0001690948,0.00012638068,0.00017006266,0.00013514824,0.00009100745,0.00031531902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005641679,0.00010375436,0.0000024107674,0.000036429396,0.000009352844,6.219253e-7,0.0016269207,0.00002312053,0.00093108707,0.98977554,0.00005783275,0.0074272687],"study_design_scores_gemma":[0.00012698582,0.00012219783,0.00004428659,0.00022950859,0.000009219416,0.000006132781,0.00012353649,0.06844694,0.24545845,0.6850228,0.00024569474,0.00016426912],"about_ca_topic_score_codex":9.359981e-7,"about_ca_topic_score_gemma":1.8838521e-7,"teacher_disagreement_score":0.51911,"about_ca_system_score_codex":0.000008353806,"about_ca_system_score_gemma":0.0000142925555,"threshold_uncertainty_score":0.40528932},"labels":[],"label_agreement":null},{"id":"W1990699128","doi":"10.1023/b:matn.0000036736.86809.69","title":"Banach--Mazur Compacta are Aleksandrov Compactifications of Q-manifolds","year":2004,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"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; Russian Foundation for Basic Research","keywords":"Mathematics; Compactification (mathematics); Pure mathematics; Manifold (fluid mechanics); Mathematical analysis","score_opus":0.08066001060337566,"score_gpt":0.3300128310363261,"score_spread":0.24935282043295046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990699128","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85781944,0.000109111636,0.1253763,0.0040118573,0.0001100319,0.00043568877,0.00004345662,0.00021078101,0.011883348],"genre_scores_gemma":[0.9654793,0.000004697409,0.034160163,0.0000755949,0.000049752663,0.000013520817,0.000005705682,0.000029197812,0.00018204021],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983992,0.000049812043,0.00063152396,0.00024375766,0.00033153608,0.00034415035],"domain_scores_gemma":[0.99662757,0.0021961387,0.000310165,0.0005904389,0.00011747999,0.00015820848],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030623775,0.00021818306,0.00064713164,0.00021015138,0.000100043355,0.000024913086,0.00032522832,0.00014032447,0.0009270233],"category_scores_gemma":[0.0030245187,0.000176108,0.00017281626,0.0004994749,0.000275303,0.00008291182,0.0000719357,0.00018715348,0.00032350898],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008860809,0.0009901026,0.00092380214,0.00034675054,0.00007991343,0.000008530704,0.00059938204,0.000028444214,0.0005474729,0.99552256,0.0007067981,0.00023739361],"study_design_scores_gemma":[0.0006780443,0.00008524166,0.0037955604,0.00014855125,0.00009311757,0.000046268222,0.0005331954,0.00011274478,0.0050852452,0.9890761,0.00013045862,0.00021548811],"about_ca_topic_score_codex":0.000026644058,"about_ca_topic_score_gemma":0.000015161537,"teacher_disagreement_score":0.1076599,"about_ca_system_score_codex":0.00004777153,"about_ca_system_score_gemma":0.00004690815,"threshold_uncertainty_score":0.9999863},"labels":[],"label_agreement":null},{"id":"W1991052404","doi":"10.1134/s0001434610090312","title":"Character sums over shifted primes","year":2010,"lang":"en","type":"article","venue":"Mathematical Notes","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Multiplicative function; Modulo; Character (mathematics); Integer (computer science); Combinatorics; Upper and lower bounds; Range (aeronautics); Discrete mathematics; Mathematical analysis","score_opus":0.05063521960221752,"score_gpt":0.36208503498356465,"score_spread":0.31144981538134714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1991052404","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9671321,0.0000057128177,0.0070425165,0.0010189936,0.000116501644,0.0003775036,0.0000083641335,0.0002528157,0.024045482],"genre_scores_gemma":[0.9556766,0.0000012006634,0.039149456,0.00016785128,0.00029500696,0.000042197138,0.0000049407827,0.00008114427,0.00458158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99802107,0.00007883373,0.00044877155,0.00032030322,0.0005988875,0.0005321236],"domain_scores_gemma":[0.9949611,0.0037900596,0.00009558484,0.0008166382,0.000097730415,0.00023890303],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010406349,0.00024666713,0.0004370221,0.00009903758,0.000103918435,0.00011415374,0.00044271757,0.00019732605,0.012462393],"category_scores_gemma":[0.00551341,0.00018214287,0.00016757673,0.00020024389,0.00028917973,0.00015576252,0.0001953465,0.00064348144,0.0023986204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021294365,0.00040072526,0.0016135405,0.0002006427,0.00006452492,0.000019490808,0.00044360667,2.0513202e-8,0.010499383,0.9845651,0.0010648867,0.0011068049],"study_design_scores_gemma":[0.00031968957,0.000027850128,0.0018594648,0.000051274397,0.000046691097,0.000030377027,0.00002990231,0.0009170717,0.0090211965,0.98606926,0.0013736924,0.00025351316],"about_ca_topic_score_codex":0.000005211475,"about_ca_topic_score_gemma":0.0000103723205,"teacher_disagreement_score":0.03210694,"about_ca_system_score_codex":0.000020721996,"about_ca_system_score_gemma":0.000046457586,"threshold_uncertainty_score":0.9983781},"labels":[],"label_agreement":null},{"id":"W2030390828","doi":"10.1134/s0001434609110029","title":"Pontryagin’s theorem and spectral stability analysis of solitons","year":2009,"lang":"en","type":"article","venue":"Mathematical Notes","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":"McMaster University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Pontryagin's minimum principle; Hamiltonian (control theory); Hamiltonian system; Comparison theorem; Stability theorem; Pure mathematics; Stability (learning theory); Mathematical analysis; Applied mathematics; Quantum mechanics; Optimal control; Mathematical optimization; Physics","score_opus":0.04627442097407739,"score_gpt":0.33142802529726156,"score_spread":0.28515360432318415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2030390828","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6612418,0.00005249031,0.32567883,0.000919751,0.000017040762,0.00048402062,0.000032507767,0.0001872632,0.01138629],"genre_scores_gemma":[0.8671714,0.0000036714157,0.13267477,0.00006713596,0.000023175764,0.000009583941,0.0000033956192,0.00002018937,0.000026699203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979025,0.000078848054,0.0007943828,0.0003809021,0.00042372243,0.0004196126],"domain_scores_gemma":[0.995018,0.0037163813,0.00022774014,0.00074520655,0.00010701276,0.00018567266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006818205,0.00029034677,0.001081321,0.0001570277,0.00006968754,0.0000349872,0.00024188071,0.00010459839,0.00035486132],"category_scores_gemma":[0.0024452517,0.00022393641,0.000298216,0.0006605327,0.00032982204,0.00015676406,0.00008118601,0.0002099313,0.000014624634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017247101,0.0006800131,0.00011600694,0.00023435731,0.00027554718,0.0000022241898,0.0011298982,0.000009689434,0.004246222,0.99219346,0.000016507656,0.0010788455],"study_design_scores_gemma":[0.00021992001,0.00010404205,0.0008745241,0.00005329339,0.00093294523,0.000004101936,0.0001282272,0.0058545745,0.010834745,0.9807616,0.0000030094711,0.00022902354],"about_ca_topic_score_codex":0.0000023539353,"about_ca_topic_score_gemma":0.00000390425,"teacher_disagreement_score":0.20592958,"about_ca_system_score_codex":0.000039209786,"about_ca_system_score_gemma":0.00002047282,"threshold_uncertainty_score":0.9131862},"labels":[],"label_agreement":null},{"id":"W2056364658","doi":"10.1134/s0001434611030023","title":"Extenders and ϰ-metrizable compacta","year":2011,"lang":"es","type":"article","venue":"Mathematical Notes","topic":"Advanced Topology and Set 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":"Nipissing University","funders":"","keywords":"Metrization theorem; Mathematics; Pure mathematics; Characterization (materials science); Extension (predicate logic); Mathematical analysis; Physics; Computer science","score_opus":0.10159675540309832,"score_gpt":0.32275992788992264,"score_spread":0.22116317248682432,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056364658","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39693594,0.002409816,0.38201943,0.0011473977,0.00039494835,0.0011872149,0.00006876194,0.000539327,0.21529715],"genre_scores_gemma":[0.9130787,0.00013247588,0.08564313,0.00019631308,0.00006881505,0.000013260493,0.000002557365,0.0000641192,0.00080062],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99805516,0.00016609122,0.0005603255,0.00041017943,0.0002237022,0.00058452],"domain_scores_gemma":[0.99559164,0.0033194763,0.00018371537,0.00057746965,0.000059872804,0.00026780408],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00059279025,0.00039533485,0.0007453483,0.00014809963,0.00022231431,0.00005736323,0.00026828318,0.00033167744,0.0037700208],"category_scores_gemma":[0.0026505499,0.0003283656,0.0001296825,0.00019499104,0.00097465114,0.00019456743,0.00020372673,0.00039687727,0.0008213438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006739086,0.00061163347,0.00061935646,0.0008941633,0.00013737491,0.000041383988,0.0032152396,4.1251303e-7,0.00019306784,0.99189335,0.00017067736,0.0021559703],"study_design_scores_gemma":[0.0004880769,0.0001842756,0.0005834862,0.00028947732,0.00021898991,0.000101732156,0.00082123274,0.0007028944,0.0027540037,0.9931957,0.00026960167,0.00039051476],"about_ca_topic_score_codex":0.0000068045324,"about_ca_topic_score_gemma":0.0000011576932,"teacher_disagreement_score":0.5161428,"about_ca_system_score_codex":0.000025077565,"about_ca_system_score_gemma":0.0000270426,"threshold_uncertainty_score":0.9999566},"labels":[],"label_agreement":null},{"id":"W2087359492","doi":"10.1134/s0001434610090166","title":"Reducing character sums to Kloosterman sums","year":2010,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Algorithms and Data Compression","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; National Science Foundation","keywords":"Kloosterman sum; Mathematics; Character (mathematics); Pure mathematics; Geometry","score_opus":0.017265997799914907,"score_gpt":0.2701696812581035,"score_spread":0.2529036834581886,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087359492","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33068168,0.000005684448,0.6633066,0.003164125,0.00051592477,0.00018916123,0.0000049602504,0.00021232896,0.0019195427],"genre_scores_gemma":[0.63364,6.7250016e-7,0.36510694,0.0006778819,0.00026855146,0.000019985675,0.000004936425,0.0000149037605,0.0002661679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99888456,0.000018375933,0.00022228192,0.0003320151,0.0002556292,0.00028713915],"domain_scores_gemma":[0.9985893,0.00027769138,0.00004281218,0.00083989877,0.000041853094,0.00020849588],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002565173,0.0001331128,0.00017745419,0.00006265753,0.00010696059,0.0002713615,0.00078438834,0.00006703853,0.00019500639],"category_scores_gemma":[0.00026932455,0.00009729407,0.000048221897,0.00014935779,0.000031920274,0.00040812002,0.00058715034,0.00021426429,0.0013574843],"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":[0.000011159464,0.00056743086,0.00041006083,0.00015511518,0.000024005942,0.00007139023,0.0038828799,0.000011123512,0.23736651,0.39999896,0.0049028844,0.3525985],"study_design_scores_gemma":[0.0012327633,0.00046362355,0.026132496,0.0008614061,0.0000423244,0.00044833118,0.000051604955,0.4297129,0.21979304,0.24935512,0.06947656,0.0024298336],"about_ca_topic_score_codex":0.000009715415,"about_ca_topic_score_gemma":0.0000022516904,"teacher_disagreement_score":0.42970178,"about_ca_system_score_codex":0.0000066579305,"about_ca_system_score_gemma":0.000016205144,"threshold_uncertainty_score":0.99942005},"labels":[],"label_agreement":null},{"id":"W2093434510","doi":"10.1007/s11006-005-0013-3","title":"Hilbert and Hilbert—Samuel polynomials and partial differential equations","year":2005,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"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 Toronto","funders":"","keywords":"Mathematics; Hilbert space; Partial differential equation; Rigged Hilbert space; Hilbert's fourteenth problem; Mathematical analysis; Algebraic number; Pure mathematics; Algebra over a field; Reproducing kernel Hilbert space","score_opus":0.049597335167021805,"score_gpt":0.2970307289586707,"score_spread":0.24743339379164891,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093434510","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9152501,0.00020566292,0.07953522,0.0030568582,0.00007037713,0.00034059383,0.000012468141,0.00014079807,0.0013878923],"genre_scores_gemma":[0.98166865,0.000025467507,0.017028494,0.00015435902,0.0004755393,0.000035304187,0.0000036474069,0.000042461143,0.00056608056],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847466,0.000057198326,0.0005019208,0.00033919947,0.00025680003,0.0003702315],"domain_scores_gemma":[0.9969191,0.0024109732,0.00010780498,0.00031652744,0.000034078075,0.00021151123],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023388339,0.00026149684,0.00045948345,0.000073726114,0.0001858908,0.00015568307,0.0001254963,0.00013272926,0.00057168066],"category_scores_gemma":[0.0019081302,0.0002102639,0.00008136249,0.00006353337,0.00022179616,0.00018883836,0.00014172461,0.00015572514,0.00012553128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002217571,0.00047705937,0.00029969934,0.0002937547,0.000078410914,0.0000033808487,0.0014744544,0.0000014244714,0.0034816558,0.98377055,0.000825074,0.009272331],"study_design_scores_gemma":[0.0018766124,0.00014584616,0.001757535,0.00029506834,0.0003698079,0.00006754784,0.00016495773,0.02698688,0.017064165,0.9485195,0.0018211288,0.0009309],"about_ca_topic_score_codex":0.000014323021,"about_ca_topic_score_gemma":0.000020176716,"teacher_disagreement_score":0.06641852,"about_ca_system_score_codex":0.000021621801,"about_ca_system_score_gemma":0.000017196166,"threshold_uncertainty_score":0.8574313},"labels":[],"label_agreement":null},{"id":"W2133978389","doi":"10.1134/s0001434615030360","title":"On an inequality of Marcus","year":2015,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Mathematical Inequalities and Applications","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 Victoria","funders":"University of Victoria","keywords":"Mathematics; Inequality; Mathematical economics; Pure mathematics; Mathematical analysis","score_opus":0.28847613922088816,"score_gpt":0.42346400972971715,"score_spread":0.134987870508829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2133978389","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.802134,0.000010182714,0.15688086,0.00088512944,0.000039319715,0.00047097597,0.000043173186,0.00020654267,0.039329834],"genre_scores_gemma":[0.92013013,6.0667287e-7,0.07930372,0.00013724715,0.000059897367,0.00006287239,0.0000067836586,0.00003360455,0.00026515962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810815,0.00013520486,0.0007279595,0.00023588048,0.0005285021,0.00026431703],"domain_scores_gemma":[0.99509734,0.0034265232,0.00018254305,0.00082216004,0.00016557981,0.00030586106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011968722,0.0001970174,0.0005009029,0.0000592819,0.00004344395,0.000028938322,0.00030730412,0.00010662974,0.0006872737],"category_scores_gemma":[0.0059945444,0.00014424404,0.00010641012,0.00017625354,0.00014726508,0.00008914985,0.00007975783,0.00014317186,0.00023444678],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017871247,0.0010311407,0.000015869076,0.00031820568,0.000014415752,0.0000012501918,0.0011013795,0.0000039778647,0.00014494311,0.99604034,0.00082049146,0.0004901303],"study_design_scores_gemma":[0.00029617618,0.00023285157,0.000014806253,0.000091247246,0.000029200984,0.0000051172706,0.00049192074,0.0021176925,0.002715684,0.9937099,0.00012288363,0.00017249766],"about_ca_topic_score_codex":0.000011206653,"about_ca_topic_score_gemma":0.000002906534,"teacher_disagreement_score":0.11799613,"about_ca_system_score_codex":0.000028884559,"about_ca_system_score_gemma":0.000036171947,"threshold_uncertainty_score":0.7525165},"labels":[],"label_agreement":null},{"id":"W2163675028","doi":"10.1134/s0001434613090253","title":"Characterization of Carleson measures by the Hausdorff-Young property","year":2013,"lang":"en","type":"preprint","venue":"Mathematical Notes","topic":"Advanced Harmonic Analysis Research","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":"Universidad Michoacana de San Nicolás de Hidalgo; Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; Consejo Nacional de Ciencia y Tecnología","keywords":"Hausdorff measure; Mathematics; Hausdorff space; Laplace transform; Characterization (materials science); Property (philosophy); Pure mathematics; Weight function; Measure (data warehouse); Hausdorff dimension; Mathematical analysis; Physics; Computer science","score_opus":0.10014782923758571,"score_gpt":0.3476528000400763,"score_spread":0.24750497080249062,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2163675028","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36344993,0.00038107313,0.6255193,0.0031660977,0.00013465867,0.0034396602,0.00018999136,0.0002363576,0.0034829918],"genre_scores_gemma":[0.9775593,0.00020254111,0.016250342,0.000048882066,0.00015306323,0.0006588644,0.00012919583,0.00014757861,0.0048501915],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963236,0.00034494474,0.0010506934,0.00052304514,0.001292509,0.00046523951],"domain_scores_gemma":[0.9958355,0.0015032927,0.0006322469,0.0013809333,0.00052313774,0.00012492892],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011140072,0.00045021504,0.001049988,0.00010307212,0.00013510902,0.00014940878,0.000997129,0.0003811942,0.00074552867],"category_scores_gemma":[0.0045121764,0.00022447556,0.00033836407,0.00020975049,0.0003903669,0.000117587275,0.0009160851,0.0009315509,0.00016371327],"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":[0.00016186047,0.0035824408,0.0008836138,0.017201444,0.003079186,0.000019675088,0.012992562,0.00012245025,0.6707435,0.21874101,0.013966041,0.05850617],"study_design_scores_gemma":[0.00034272947,0.000055914243,0.00013213437,0.0009951888,0.00049696234,0.000014277577,0.00022140724,0.022744756,0.081563585,0.89180684,0.0009486551,0.000677525],"about_ca_topic_score_codex":0.000086685985,"about_ca_topic_score_gemma":0.000011698086,"teacher_disagreement_score":0.67306584,"about_ca_system_score_codex":0.00011876763,"about_ca_system_score_gemma":0.000112085065,"threshold_uncertainty_score":0.91538477},"labels":[],"label_agreement":null},{"id":"W3020108609","doi":"10.1134/s0001434620030128","title":"Some Congruences for Overpartitions with Restriction","year":2020,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Advanced Mathematical Identities","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":"Congruence relation; Modulo; Ramanujan's sum; Mathematics; Combinatorics","score_opus":0.11780418425329067,"score_gpt":0.3459879651105259,"score_spread":0.2281837808572352,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3020108609","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.054024946,0.00008403776,0.9306415,0.009236174,0.000078458776,0.0014509232,0.00007298959,0.00073490746,0.0036760655],"genre_scores_gemma":[0.51751864,0.000026910398,0.4798091,0.0007115513,0.00061431545,0.0005646497,0.000014074619,0.00011171406,0.00062902167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985503,0.000028129121,0.00043884263,0.00029975062,0.00034452337,0.0003384364],"domain_scores_gemma":[0.9957295,0.0035543202,0.00014145639,0.00025072187,0.00011874402,0.00020523256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015221453,0.00022036077,0.00042516214,0.000042613123,0.00016535494,0.000093419,0.0001936547,0.00007871776,0.00019976067],"category_scores_gemma":[0.005233556,0.00016184332,0.00011152356,0.00018923842,0.00020973354,0.0004092706,0.000052081927,0.00013259465,0.00015488948],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037493137,0.00013516747,0.000019845282,0.000713244,0.00003874607,0.000004380773,0.00037919707,0.000017494931,0.0005271221,0.9964798,0.0015924962,0.00005498995],"study_design_scores_gemma":[0.00043436803,0.00026749607,0.000012044811,0.00013463959,0.00010699086,0.0000083797995,0.00028625212,0.002152773,0.0050618933,0.99094826,0.00035733657,0.00022956161],"about_ca_topic_score_codex":0.0000014282201,"about_ca_topic_score_gemma":0.0000029709743,"teacher_disagreement_score":0.4634937,"about_ca_system_score_codex":0.000028382537,"about_ca_system_score_gemma":0.00003442649,"threshold_uncertainty_score":0.6599779},"labels":[],"label_agreement":null},{"id":"W4283396237","doi":"10.1134/s0001434622050091","title":"Winning “Big” in the St. Petersburg Game","year":2022,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Game Theory and Applications","field":"Decision Sciences","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 New Brunswick","funders":"","keywords":"St petersburg; Mathematics; Big game; Mathematical economics; History; Archaeology; Philosophy; Environmental ethics","score_opus":0.18241003907680325,"score_gpt":0.3939894289647474,"score_spread":0.21157938988794417,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4283396237","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9473247,0.000033295873,0.019498957,0.012296527,0.000065831904,0.0002974136,0.00001548229,0.000043177686,0.0204246],"genre_scores_gemma":[0.9978245,2.6082657e-7,0.0008116592,0.00076854025,0.000037418755,0.00013082674,0.0000016942014,0.0000058676683,0.000419256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979661,0.0003722518,0.00037813207,0.0002267889,0.00087098364,0.00018573372],"domain_scores_gemma":[0.99154365,0.007743599,0.000074905045,0.0005779728,0.00002316013,0.000036734677],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0043894337,0.000077256,0.00015869837,0.000089515015,0.00022284864,0.00013157792,0.0010032648,0.000016640432,0.0038749594],"category_scores_gemma":[0.0029538174,0.000045014633,0.00007340168,0.00070868083,0.0001096601,0.00005699989,0.00023551592,0.00022998602,0.00058230385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014334516,0.00034871805,0.0006581149,0.0000065524246,0.0000049187365,0.000018459266,0.009661389,0.0007877176,0.0007788534,0.96640956,0.0021664768,0.019144902],"study_design_scores_gemma":[0.00009358218,0.00002902794,0.0009931716,0.000004481046,0.000004069155,0.000026624828,0.0049653547,0.0022430841,0.000079392645,0.97391057,0.017579958,0.000070713104],"about_ca_topic_score_codex":0.0000026095195,"about_ca_topic_score_gemma":0.0000016835493,"teacher_disagreement_score":0.05049976,"about_ca_system_score_codex":0.000014694897,"about_ca_system_score_gemma":0.0000146660495,"threshold_uncertainty_score":0.9970356},"labels":[],"label_agreement":null},{"id":"W4400644910","doi":"10.1134/s0001434624050328","title":"On $$\\mathfrak{L}_{\\infty}$$-Liftings of the Gelfand–Naimark Morphism","year":2024,"lang":"en","type":"article","venue":"Mathematical Notes","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":"Strathcona Community Hospital","funders":"","keywords":"Morphism; Mathematics; Combinatorics; Pure mathematics; Physics; Algebra over a field","score_opus":0.03012123474911964,"score_gpt":0.31632802931259174,"score_spread":0.2862067945634721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400644910","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94317865,0.00036779564,0.036184926,0.0027020453,0.00041485412,0.0005159161,0.000029125735,0.00030963594,0.016297052],"genre_scores_gemma":[0.98687226,0.0000066087377,0.011645546,0.00024601503,0.000114705865,0.00002742107,0.000001039356,0.00006434837,0.0010220658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822325,0.000053343527,0.0005470229,0.00030872092,0.0005287625,0.0003388869],"domain_scores_gemma":[0.993834,0.0052516866,0.000112485446,0.00066154625,0.000054155487,0.000086118955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044572374,0.0002635744,0.00042615735,0.000114154136,0.00010581905,0.000058395148,0.00039364398,0.00013072984,0.0007032526],"category_scores_gemma":[0.0040380615,0.00015323251,0.00029751798,0.0005216201,0.00020805864,0.00007378178,0.0001702809,0.00036148704,0.00043198094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008788605,0.00016708666,0.000036621997,0.0009705945,0.00005152503,0.0000103152,0.0005566021,0.000007129397,0.0016852736,0.9921162,0.001599101,0.0027907728],"study_design_scores_gemma":[0.00014793541,0.000063722655,0.000087946675,0.0008785051,0.0000706741,0.000024773775,0.00004957507,0.0011337467,0.010869781,0.98559463,0.00089081394,0.00018788592],"about_ca_topic_score_codex":9.355825e-7,"about_ca_topic_score_gemma":6.7573785e-7,"teacher_disagreement_score":0.0436936,"about_ca_system_score_codex":0.000035317746,"about_ca_system_score_gemma":0.000034829813,"threshold_uncertainty_score":0.7700123},"labels":[],"label_agreement":null},{"id":"W7117115625","doi":"10.1134/s0001434625601534","title":"The Stagnation Phenomena of Electrohydrodynamic Waves in a Channel","year":2025,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Electrohydrodynamics and Fluid Dynamics","field":"Engineering","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":"Electrohydrodynamics; Vorticity; Stagnation temperature; Constant (computer programming); Channel (broadcasting); Stagnation point; Particle (ecology); Economic stagnation","score_opus":0.004212077558267923,"score_gpt":0.21023374294610989,"score_spread":0.20602166538784197,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117115625","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78662854,0.0008218791,0.19827256,0.00049779663,0.00010549678,0.000344725,0.0000062493136,0.00013930335,0.013183477],"genre_scores_gemma":[0.9990888,0.00015890399,0.0005690155,0.000013150479,0.000010380376,0.000026800875,0.0000043064783,0.000015916,0.00011272704],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99919784,0.000015895304,0.00032052837,0.00009835481,0.00011017936,0.00025721072],"domain_scores_gemma":[0.9992499,0.0004860101,0.000022803883,0.00019733534,0.000024391675,0.000019577472],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022248142,0.00011351248,0.00018303901,0.00013044167,0.000040191146,0.000023487104,0.00016738284,0.000057158024,0.000004341685],"category_scores_gemma":[0.00014025389,0.000085451145,0.000045843084,0.00039470702,0.00005268799,0.000040505463,0.000026319776,0.00013937992,0.0000055077912],"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":[0.000012994337,0.00010750415,0.00008296147,0.00039745122,0.000069909926,0.0000015492441,0.0003138178,0.0326542,0.045906767,0.9142442,0.00001927676,0.006189378],"study_design_scores_gemma":[0.00011120359,0.000015551974,0.00025038747,0.000046532972,0.0000066371044,5.7105075e-7,0.000014735335,0.7881666,0.0010144357,0.21029116,0.000017837921,0.00006433746],"about_ca_topic_score_codex":0.000004626701,"about_ca_topic_score_gemma":0.00006633493,"teacher_disagreement_score":0.7555124,"about_ca_system_score_codex":0.0000825466,"about_ca_system_score_gemma":0.000015825264,"threshold_uncertainty_score":0.34845963},"labels":[],"label_agreement":null},{"id":"W7117132980","doi":"10.1134/s0001434625605210","title":"Accelerated Algorithm for Splitting a Vector into Two Vectors with Small Uniform Norm","year":2025,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Stochastic Gradient Optimization Techniques","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":"Artificial Intelligence in Medicine (Canada)","funders":"","keywords":"Norm (philosophy); Uniform norm; Efficient algorithm; Approximation algorithm; Matrix norm; Vector field","score_opus":0.028630622175947903,"score_gpt":0.28587952980811987,"score_spread":0.25724890763217195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7117132980","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0020167725,0.000013109167,0.99484015,0.00077629625,0.000079989004,0.000674584,0.000002361821,0.00061486295,0.0009818742],"genre_scores_gemma":[0.050995357,5.9120487e-7,0.9484394,0.00020389212,0.00002608306,0.00020564203,0.0000051035486,0.000016605389,0.00010728498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998784,0.000018640221,0.0003327846,0.0003718173,0.0001755162,0.0003172518],"domain_scores_gemma":[0.99809456,0.0010701581,0.000092442046,0.00043939738,0.00022026776,0.00008320522],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027928848,0.00020174778,0.0002741029,0.0001757252,0.00016391028,0.00022903651,0.0006139284,0.00006440069,0.000013490361],"category_scores_gemma":[0.0005299908,0.00015415552,0.00006117807,0.00071464654,0.000073690026,0.00018464454,0.00018673783,0.00010619128,0.000012321305],"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":[0.0000113732885,0.00021815188,0.00006232825,0.00021827039,0.00006731074,0.0000047708772,0.0009700464,0.00022953912,0.0003585757,0.8917338,0.00007305771,0.10605276],"study_design_scores_gemma":[0.00051536923,0.00016843155,0.00004846861,0.00022534262,0.00002371211,0.0000068589175,0.000025271582,0.7895809,0.017603174,0.19151248,0.000073853786,0.00021615527],"about_ca_topic_score_codex":0.000017860739,"about_ca_topic_score_gemma":0.000005550235,"teacher_disagreement_score":0.78935134,"about_ca_system_score_codex":0.00008248108,"about_ca_system_score_gemma":0.000087880915,"threshold_uncertainty_score":0.628628},"labels":[],"label_agreement":null}]}