{"meta":{"query_hash":"f58e736cd8d7","filters":{"venue":"International Journal of Mathematics and Mathematical Sciences"},"cohort_total":114,"direct_labels_cover":0,"predictions_cover":114,"exported":114,"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/f58e736cd8d7","api":"https://metacan.xera.ac/api/v1/cohort?venue=International+Journal+of+Mathematics+and+Mathematical+Sciences"},"results":[{"id":"W1966233822","doi":"10.1155/2009/580918","title":"A Binary Intuitionistic Fuzzy Relation: Some New Results, a General Factorization, and Two Properties of Strict Components","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Multi-Criteria Decision Making","field":"Decision Sciences","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":"Région Normandie; Agence Universitaire de la Francophonie","keywords":"Mathematics; Transitive relation; Factorization; Fuzzy logic; Characterization (materials science); Discrete mathematics; Pure mathematics; Algebra over a field; Combinatorics; Algorithm; Artificial intelligence; Computer science","score_opus":0.22247487937719446,"score_gpt":0.41635210355933944,"score_spread":0.19387722418214498,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966233822","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07963799,0.0015613044,0.8900586,0.00085168466,0.00016587095,0.00014399234,0.00030662198,0.00019595418,0.027078012],"genre_scores_gemma":[0.6838714,0.0013137254,0.3027748,0.0003963607,0.0003986276,0.00023639762,0.00047327322,0.00010018224,0.010435198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986527,0.00019479243,0.000109661065,0.0004834799,0.00043298022,0.0001264116],"domain_scores_gemma":[0.99885345,0.00032084825,0.00022035578,0.0002272546,0.00024965082,0.0001283446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015529719,0.0008919053,0.0006236013,0.0014938711,0.0011457104,0.0023027807,0.00059475907,0.0008256182,0.004144787],"category_scores_gemma":[0.0032241878,0.0005485621,0.0017087489,0.0014525605,0.002922174,0.0066059115,0.0015778835,0.0019640836,0.00070580805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007959302,0.00003500291,0.0005792594,0.00016089136,0.000025820313,0.0002916043,0.0009281906,0.0029413984,0.0066216504,0.9616972,0.0011000951,0.025539251],"study_design_scores_gemma":[0.000026364287,0.00015992038,0.0013929687,0.00009696156,0.000064481515,0.0011262593,0.0002667678,0.03268455,0.005598726,0.9413554,0.017164,0.000063636995],"about_ca_topic_score_codex":0.0015128296,"about_ca_topic_score_gemma":0.0010887231,"teacher_disagreement_score":0.004144787,"about_ca_system_score_codex":0.001068429,"about_ca_system_score_gemma":0.0008442397,"threshold_uncertainty_score":0.013865709},"labels":[],"label_agreement":null},{"id":"W1966407796","doi":"10.1155/2011/985323","title":"Fundamental Domains of Gamma and Zeta Functions","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","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":"York University","funders":"","keywords":"Mathematics; Conformal map; Riemann zeta function; Riemann hypothesis; Complex plane; Euler's formula; Analytic continuation; Plane (geometry); Pure mathematics; Order (exchange); Riemann surface; Geometric function theory; Mathematical analysis; Geometry","score_opus":0.01980535584932372,"score_gpt":0.2517538372797531,"score_spread":0.23194848143042937,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966407796","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":[0.83333033,0.0026826102,0.061277706,0.00089851214,0.0001705635,0.000046013574,0.00021561515,0.000111475,0.10126725],"genre_scores_gemma":[0.98693824,0.00064451306,0.0045521515,0.000043018004,0.00008317369,0.000027920312,0.00012337937,0.000027379006,0.0075602494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974924,0.000051748408,0.000007830736,0.000047066445,0.0000719959,0.000072080606],"domain_scores_gemma":[0.9993166,0.00019159145,0.00012880297,0.00004895882,0.0001129311,0.00020115984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004913693,0.00078779843,0.0003727793,0.002864255,0.0008871128,0.002797611,0.00054039236,0.00071575545,0.00370057],"category_scores_gemma":[0.0024392062,0.00030065933,0.00040791187,0.0008198583,0.0022207755,0.0021337415,0.0018258266,0.0011219825,0.0005740402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034507484,0.000011110925,0.0006958741,0.00003397716,0.00000470529,0.00017719861,0.00028265294,0.0018426252,0.002294315,0.9892188,0.000505835,0.004898421],"study_design_scores_gemma":[0.000018625336,0.000033812692,0.0016854703,0.000055593897,0.000009161065,0.00074646244,0.00047839162,0.023689646,0.0022870044,0.9644622,0.0065120813,0.000021487203],"about_ca_topic_score_codex":0.0005485618,"about_ca_topic_score_gemma":0.00024088206,"teacher_disagreement_score":0.00370057,"about_ca_system_score_codex":0.00124091,"about_ca_system_score_gemma":0.00044938613,"threshold_uncertainty_score":0.012379706},"labels":[],"label_agreement":null},{"id":"W1968814555","doi":"10.1155/s0161171202112245","title":"Exponential inequalities for a class of operators","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Optimization and Variational Analysis","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":"McMaster University","funders":"","keywords":"Mathematics; Class (philosophy); Inequality; Exponential function; Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.05283718846651574,"score_gpt":0.3037779479260906,"score_spread":0.25094075945957484,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968814555","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35430777,0.0013734978,0.588415,0.0008593432,0.00019316247,0.00007561589,0.0002127129,0.00019840054,0.054364543],"genre_scores_gemma":[0.93674797,0.00085283763,0.0451803,0.00022043438,0.00023948586,0.00013651884,0.00026335454,0.0000875751,0.016271532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915564,0.00014089086,0.00004365103,0.00017512661,0.0003012697,0.00018347074],"domain_scores_gemma":[0.99805105,0.0009243653,0.00030636767,0.00012484884,0.00039868083,0.00019472613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012715989,0.0011643675,0.0005068538,0.0016118838,0.00097017974,0.0023916846,0.000997646,0.00091025507,0.004293056],"category_scores_gemma":[0.0063991807,0.0003246447,0.000608211,0.0012523654,0.0015099123,0.0034924336,0.0020867158,0.002145978,0.0004779673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006160238,0.00002849119,0.000463826,0.000043043518,0.000017523642,0.00008635653,0.000106546424,0.0035103902,0.005848302,0.9772917,0.00081106165,0.011731056],"study_design_scores_gemma":[0.00002931127,0.00005136082,0.00059340894,0.000027889982,0.000018982115,0.0002500079,0.000100936435,0.07786273,0.00331967,0.913253,0.004465818,0.000026934087],"about_ca_topic_score_codex":0.000516121,"about_ca_topic_score_gemma":0.00032770925,"teacher_disagreement_score":0.004293056,"about_ca_system_score_codex":0.0010067803,"about_ca_system_score_gemma":0.00044001045,"threshold_uncertainty_score":0.01436168},"labels":[],"label_agreement":null},{"id":"W1970162431","doi":"10.1155/s0161171203211480","title":"Contact problem for bonded nonhomogeneous materials under shear loading","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Polymer Science and Applications","field":"Engineering","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":"Brock University; University of Calgary","funders":"","keywords":"Mathematics; Shear (geology); Mathematical optimization; Composite material; Materials science","score_opus":0.026997729721226164,"score_gpt":0.28980113627523835,"score_spread":0.2628034065540122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970162431","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":[0.7444648,0.00048017892,0.24489254,0.00042024345,0.00006282007,0.00007565734,0.00007763239,0.000082670704,0.009443372],"genre_scores_gemma":[0.98543096,0.0001864287,0.008195916,0.000037265334,0.000031290634,0.000037888472,0.00005652251,0.000024924242,0.005998837],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.999671,0.00007002941,0.000014131181,0.00007181623,0.00010926684,0.00006376105],"domain_scores_gemma":[0.99932253,0.00041703545,0.00009589158,0.00005095683,0.00006238773,0.00005120054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050079316,0.00038451926,0.0006717137,0.000587599,0.00060061907,0.0012224849,0.00062358857,0.002043637,0.0029532937],"category_scores_gemma":[0.0016287124,0.00032337543,0.0004080128,0.00030257765,0.0012135429,0.0014768823,0.0010340651,0.00061284954,0.0002485908],"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":[0.00088384724,0.00041804728,0.004929126,0.00043282067,0.00010607556,0.007105774,0.0009997285,0.70373946,0.13619494,0.11377465,0.0014591402,0.029956428],"study_design_scores_gemma":[0.00005762892,0.00011623114,0.0009805792,0.000012800669,0.000018197134,0.00042500035,0.00028659837,0.97005266,0.0130128525,0.014253166,0.0007637308,0.000020512629],"about_ca_topic_score_codex":0.0011095976,"about_ca_topic_score_gemma":0.00056700374,"teacher_disagreement_score":0.0029532937,"about_ca_system_score_codex":0.0004747979,"about_ca_system_score_gemma":0.00037365383,"threshold_uncertainty_score":0.009879768},"labels":[],"label_agreement":null},{"id":"W1975685363","doi":"10.1155/s0161171202013194","title":"Optimal bound for the number of (−1)‐curves on extremal rational surfaces","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","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 de Valladolid; McGill University","keywords":"Algorithm; Computer science","score_opus":0.036723367557242315,"score_gpt":0.32085793952836694,"score_spread":0.2841345719711246,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975685363","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3859194,0.007420614,0.46777964,0.0060501066,0.00056415756,0.00023935309,0.0016352511,0.0032327636,0.12715873],"genre_scores_gemma":[0.80584186,0.002257229,0.17848893,0.00043145262,0.00044793737,0.0003548833,0.001292048,0.00062332617,0.010262407],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9955924,0.0007752057,0.00025166548,0.0008147953,0.0016078345,0.00095817103],"domain_scores_gemma":[0.98531324,0.0081713535,0.000999253,0.0028089455,0.0012588875,0.0014483405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034648213,0.0025680999,0.0025793174,0.0033947485,0.0020713096,0.0051099146,0.004054076,0.0024181493,0.014576563],"category_scores_gemma":[0.015397795,0.0013525531,0.0012927972,0.0015000127,0.0031079976,0.00865893,0.005952245,0.0038333992,0.0034184763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005020597,0.00064096507,0.009922753,0.001294395,0.00031518537,0.00056957646,0.0004960553,0.17150299,0.056156468,0.57281196,0.022403149,0.15886584],"study_design_scores_gemma":[0.00031051994,0.00042444826,0.0036146704,0.00024764246,0.00019696537,0.0010200178,0.00026040873,0.4729537,0.034821805,0.4708822,0.015083347,0.00018428604],"about_ca_topic_score_codex":0.000679062,"about_ca_topic_score_gemma":0.0008863625,"teacher_disagreement_score":0.014576563,"about_ca_system_score_codex":0.0032688675,"about_ca_system_score_gemma":0.0016658502,"threshold_uncertainty_score":0.048763454},"labels":[],"label_agreement":null},{"id":"W1976892837","doi":"10.1155/ijmms.2005.2735","title":"On Lax pairs and matrix extended simple Toda systems","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Algebraic structures and combinatorial models","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":"Mathematics; Simple (philosophy); Lax pair; Toda lattice; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Integrable system","score_opus":0.03242371264591919,"score_gpt":0.3421618845927923,"score_spread":0.3097381719468731,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976892837","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":[0.6029542,0.003490223,0.12851523,0.0029183386,0.0012235291,0.00013448625,0.00019416875,0.00040546822,0.26016447],"genre_scores_gemma":[0.970058,0.0010112275,0.012842891,0.0002903563,0.00042041618,0.00011473103,0.00009739028,0.00007176652,0.015093146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961346,0.0001576649,0.000020697114,0.000041238847,0.000103053426,0.000063855645],"domain_scores_gemma":[0.99961877,0.00010716551,0.00007032873,0.000055796983,0.000057322683,0.000090601134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068010535,0.0008215819,0.00079773617,0.0016861872,0.0025474667,0.0030472523,0.00068777247,0.0012312955,0.0044686557],"category_scores_gemma":[0.0012436783,0.00044175333,0.0007387784,0.0011109996,0.0031164035,0.0041332045,0.0019769582,0.0015682381,0.00061936834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010430228,0.0000104092105,0.000048738042,0.000013622484,0.0000025607412,0.00009728112,0.00012103852,0.0008082251,0.0006575145,0.99705553,0.000335762,0.00083880767],"study_design_scores_gemma":[0.000013419159,0.00002350639,0.00010055543,0.000016277992,0.0000034308894,0.00011828613,0.000113697184,0.008400459,0.0002540674,0.989777,0.0011687974,0.000010444027],"about_ca_topic_score_codex":0.00061001093,"about_ca_topic_score_gemma":0.00057321874,"teacher_disagreement_score":0.0044686557,"about_ca_system_score_codex":0.00090288307,"about_ca_system_score_gemma":0.0005374065,"threshold_uncertainty_score":0.014949143},"labels":[],"label_agreement":null},{"id":"W1984231350","doi":"10.1155/s0161171204311063","title":"A formula for the inner spectral radius","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"University of Regina","funders":"Isfahan University of Technology; University of Regina","keywords":"Mathematics; Spectral radius; RADIUS; Moduli; Bounded function; Bounded operator; Spectrum (functional analysis); Moduli space; Banach space; Linear operators; Asymptotic formula; Operator (biology); Pure mathematics; Mathematical analysis; Eigenvalues and eigenvectors; Quantum mechanics; Physics","score_opus":0.023258326182918985,"score_gpt":0.29855556761952773,"score_spread":0.2752972414366087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984231350","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.115364864,0.002943224,0.7912917,0.0016562062,0.0004865489,0.00003862299,0.00018089228,0.0007897623,0.0872481],"genre_scores_gemma":[0.8684669,0.0015975506,0.1142414,0.00046574956,0.00089417084,0.000101371115,0.00018695123,0.00069748366,0.013348385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990951,0.00021342622,0.00005724923,0.00019258664,0.00034057957,0.00010097966],"domain_scores_gemma":[0.9969668,0.001435131,0.00031263742,0.00031294348,0.0007296708,0.00024279405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014840001,0.00067834783,0.00078130246,0.002452518,0.0006285168,0.0019070919,0.0012534944,0.0009688492,0.005558709],"category_scores_gemma":[0.011080131,0.00031164067,0.0005196487,0.00059373927,0.0020738947,0.0058628977,0.0018858257,0.00222013,0.0016672347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033302073,0.000010432675,0.00030435028,0.00008124072,0.0000073520378,0.00008723258,0.00017767331,0.002132171,0.0061951657,0.9734795,0.0013219459,0.016169641],"study_design_scores_gemma":[0.000009478264,0.000060295817,0.0005911203,0.00008505645,0.000015894022,0.00064891874,0.00012828315,0.050740037,0.0059112147,0.93181884,0.009944965,0.00004587515],"about_ca_topic_score_codex":0.00021139742,"about_ca_topic_score_gemma":0.0001244708,"teacher_disagreement_score":0.005558709,"about_ca_system_score_codex":0.0007188918,"about_ca_system_score_gemma":0.00025130896,"threshold_uncertainty_score":0.018595695},"labels":[],"label_agreement":null},{"id":"W1988224462","doi":"10.1155/s0161171201010304","title":"Explicit solution for an infinite dimensional generalized inverse eigenvalue problem","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Numerical methods in inverse 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":"Carleton University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Inverse; Applied mathematics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.1759741310810361,"score_gpt":0.41340823931609366,"score_spread":0.23743410823505756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988224462","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":[0.24226692,0.0010290764,0.6929769,0.0026258696,0.0003710585,0.000038962997,0.00008317497,0.00019576446,0.060412314],"genre_scores_gemma":[0.90018934,0.0006119377,0.07114794,0.0003713084,0.00020592843,0.00012713153,0.0001338357,0.00011227014,0.027100168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997776,0.00008373073,0.000007759717,0.000029938881,0.0000651177,0.00003590884],"domain_scores_gemma":[0.9995492,0.0002058735,0.00007488126,0.000029480694,0.000075147305,0.00006534916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051637023,0.00065945624,0.00056081684,0.00061824976,0.0005724977,0.0010519446,0.00066317536,0.0017409481,0.0031083168],"category_scores_gemma":[0.0024852029,0.00035869543,0.00040256674,0.00035920957,0.0019804395,0.0012938257,0.0017921057,0.0011443562,0.00038799527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004223372,0.00005022079,0.00035833847,0.000105906765,0.000020561294,0.0005365351,0.00033529528,0.10409936,0.0050686486,0.8808446,0.002432985,0.0061052465],"study_design_scores_gemma":[0.000030688425,0.000033404354,0.0002263758,0.000041277952,0.000008419484,0.00023787099,0.0002089263,0.5575621,0.0009853387,0.4374625,0.0031729534,0.00003003596],"about_ca_topic_score_codex":0.00080801814,"about_ca_topic_score_gemma":0.0008213925,"teacher_disagreement_score":0.0031083168,"about_ca_system_score_codex":0.0003641083,"about_ca_system_score_gemma":0.00053209485,"threshold_uncertainty_score":0.010398388},"labels":[],"label_agreement":null},{"id":"W1988671459","doi":"10.1155/2008/673534","title":"Affine Anosov Diffeomorphims of Affine Manifolds","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Fields Institute for Research in Mathematical Sciences; Collège Boréal","funders":"","keywords":"Mathematics; Affine transformation; Affine coordinate system; Affine hull; Pure mathematics; Affine combination; Affine group; Affine plane (incidence geometry); Affine geometry of curves; Affine geometry; Affine representation; Conjecture; Manifold (fluid mechanics); Affine space; Algebra over a field","score_opus":0.06139726457180354,"score_gpt":0.32780333415021373,"score_spread":0.2664060695784102,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988671459","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":[0.9373069,0.00034715838,0.031449847,0.00035569296,0.00007379343,0.000017796261,0.00009175905,0.000102808786,0.03025425],"genre_scores_gemma":[0.99366754,0.00014024721,0.0025228963,0.0000350224,0.00007055328,0.000018090677,0.00007101664,0.000016094342,0.0034584568],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997002,0.00004992961,0.000016374715,0.000051844763,0.00010262934,0.000079075086],"domain_scores_gemma":[0.9995745,0.000105220155,0.000107800675,0.0000706309,0.000047543097,0.000094304254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028362637,0.00037214675,0.00034841325,0.0012511052,0.001109577,0.0013034783,0.0003825181,0.0004868298,0.002742406],"category_scores_gemma":[0.00070943206,0.00018472766,0.0006234204,0.00041325466,0.0015349129,0.0024820464,0.002103126,0.00096565875,0.00027930143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004441183,0.00002913202,0.0008206703,0.00003767652,0.000015829366,0.00036640462,0.0005439828,0.0018018531,0.005459622,0.98557824,0.00035700566,0.004945171],"study_design_scores_gemma":[0.000025658153,0.00016245893,0.003695863,0.000021841577,0.000028546345,0.000964398,0.00070244336,0.017564056,0.006307925,0.96041393,0.0100891,0.000023856006],"about_ca_topic_score_codex":0.00037250965,"about_ca_topic_score_gemma":0.0002721907,"teacher_disagreement_score":0.002742406,"about_ca_system_score_codex":0.00044146436,"about_ca_system_score_gemma":0.0001677946,"threshold_uncertainty_score":0.009174287},"labels":[],"label_agreement":null},{"id":"W1990386498","doi":"10.1155/ijmms.2005.1039","title":"Lagrange, central norms, and quadratic Diophantine equations","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Quantum chaos and dynamical systems","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":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Mathematics","score_opus":0.01565600418457244,"score_gpt":0.28594780668058095,"score_spread":0.27029180249600854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990386498","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":[0.70468265,0.0027405114,0.10605943,0.0038513276,0.00048171717,0.00004389491,0.00017652001,0.0001480336,0.18181588],"genre_scores_gemma":[0.96577907,0.0006056346,0.012413313,0.00029218922,0.0002432608,0.0000347396,0.00006524113,0.00003204769,0.020534579],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997732,0.00005878898,0.000010306846,0.000030406098,0.000087027205,0.000040343544],"domain_scores_gemma":[0.9995059,0.00017934281,0.00009579116,0.00004389522,0.00009814961,0.00007692003],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007470602,0.00038120724,0.00036114562,0.00074539863,0.0008716294,0.00093367137,0.000529113,0.000528251,0.0023094763],"category_scores_gemma":[0.0021350211,0.00014804555,0.0002521473,0.0005897195,0.0023241607,0.0019499608,0.0012411121,0.001398292,0.00029936252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016239348,0.00001080753,0.000101674676,0.000018101175,0.000001858392,0.000045574096,0.000100481026,0.0015646665,0.000867364,0.99453235,0.00038570768,0.0023552172],"study_design_scores_gemma":[0.000012174129,0.00001784789,0.00016800257,0.000007924017,0.0000016178034,0.0000730254,0.00004297563,0.00965413,0.00049267715,0.9878813,0.0016397985,0.0000083687755],"about_ca_topic_score_codex":0.0010150026,"about_ca_topic_score_gemma":0.0010723104,"teacher_disagreement_score":0.0023094763,"about_ca_system_score_codex":0.00094822276,"about_ca_system_score_gemma":0.00062283716,"threshold_uncertainty_score":0.007725954},"labels":[],"label_agreement":null},{"id":"W1990756364","doi":"10.1155/s0161171203204038","title":"Vector fields on nonorientable surfaces","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"York University","funders":"","keywords":"Tangent; Mathematics; Tangent space; Space (punctuation); Algorithm; Combinatorics; Geometry; Computer science","score_opus":0.054083339848217546,"score_gpt":0.3612697300898039,"score_spread":0.30718639024158634,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990756364","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":[0.9143709,0.0015759438,0.035732668,0.00086966704,0.00038646194,0.00004662045,0.00014092705,0.00020651815,0.04667032],"genre_scores_gemma":[0.9787866,0.00092787115,0.0044532213,0.00010592918,0.0002410191,0.000031352523,0.00015688258,0.000049296796,0.015247825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968386,0.000056388264,0.00001804532,0.00005834107,0.00011341033,0.00006997397],"domain_scores_gemma":[0.9996574,0.000059226597,0.0000772753,0.000037698737,0.00006839151,0.000100073215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044367206,0.00055316475,0.00046371,0.002320282,0.00087550486,0.0023857073,0.00045013448,0.00052751484,0.0033737398],"category_scores_gemma":[0.0009902116,0.00024140051,0.00030471873,0.0008532404,0.0019654022,0.0030069235,0.0010885358,0.0009394542,0.0005183603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002084351,0.000025473251,0.00025685006,0.000021357791,0.000004609547,0.0001510027,0.00029520097,0.00059775176,0.002654756,0.9894203,0.00039484364,0.0061569684],"study_design_scores_gemma":[0.00002158727,0.000055345736,0.0012035486,0.00001681114,0.000005582646,0.00029376007,0.00037922405,0.004261288,0.0013821373,0.98823136,0.0041361554,0.000013135463],"about_ca_topic_score_codex":0.0006167076,"about_ca_topic_score_gemma":0.00031266588,"teacher_disagreement_score":0.0033737398,"about_ca_system_score_codex":0.0010149804,"about_ca_system_score_gemma":0.00032624663,"threshold_uncertainty_score":0.011286318},"labels":[],"label_agreement":null},{"id":"W1990981841","doi":"10.1155/s0161171202008074","title":"A combinatorial commutativity property for rings","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.08746100044426751,"score_gpt":0.33586513366275944,"score_spread":0.24840413321849192,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990981841","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":[0.6340707,0.0023592238,0.28008837,0.0011001055,0.00031112647,0.00008892114,0.0003915481,0.00023650672,0.08135355],"genre_scores_gemma":[0.9789484,0.00055942417,0.0148862,0.00015797142,0.00031884605,0.00007784354,0.00018966569,0.00004605023,0.0048155747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986922,0.00038182887,0.00010424583,0.00038054306,0.00028284793,0.00015821015],"domain_scores_gemma":[0.99521315,0.0026027772,0.0006779909,0.0006702934,0.00042101345,0.00041473337],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017798491,0.00042425992,0.0005997022,0.0012531911,0.0014175125,0.0036249512,0.0007435842,0.0007717557,0.0038620573],"category_scores_gemma":[0.00453058,0.00037847442,0.00072307925,0.0014198736,0.0040481794,0.005725087,0.0013623826,0.0010206647,0.00045363954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041489115,0.00001990491,0.0008735418,0.000048174323,0.000012738462,0.00017582759,0.0003095618,0.0009386351,0.0024907126,0.9903565,0.00058393396,0.004148924],"study_design_scores_gemma":[0.000030059577,0.000092192466,0.0010000352,0.000029914187,0.000035622325,0.00095884973,0.00028484967,0.009809724,0.0042937472,0.9746572,0.008774997,0.000032921336],"about_ca_topic_score_codex":0.00031555208,"about_ca_topic_score_gemma":0.00025119854,"teacher_disagreement_score":0.0038620573,"about_ca_system_score_codex":0.00072953844,"about_ca_system_score_gemma":0.00038846122,"threshold_uncertainty_score":0.012919843},"labels":[],"label_agreement":null},{"id":"W1994024136","doi":"10.1155/s0161171204406516","title":"Precise lim sup behavior of probabilities of large deviations forsums of i.i.d. random variables","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Probability and Risk Models","field":"Decision Sciences","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":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science","score_opus":0.09568246512298505,"score_gpt":0.39760619255609375,"score_spread":0.3019237274331087,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994024136","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19879556,0.004236071,0.77714366,0.0034357458,0.00024109326,0.00014976047,0.0004875404,0.0006223282,0.0148882605],"genre_scores_gemma":[0.9324942,0.0033677013,0.054168865,0.0006936667,0.00046090386,0.0005294928,0.00050480914,0.00021932564,0.0075610075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99611425,0.0016464837,0.000267615,0.0007402106,0.00082633813,0.0004050523],"domain_scores_gemma":[0.914203,0.07052567,0.006292591,0.0034378865,0.0032464482,0.0022944391],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.017899089,0.0016782864,0.001727698,0.0027147685,0.0012043191,0.004131768,0.0023341852,0.002399197,0.0037721791],"category_scores_gemma":[0.11146358,0.0013777124,0.0014299436,0.0014642893,0.007738068,0.009759247,0.003398243,0.005296451,0.0005538036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016068819,0.00005860415,0.003510451,0.00023188075,0.000075558935,0.00050996523,0.00045850428,0.054004963,0.0030584247,0.92938566,0.0012735077,0.007271767],"study_design_scores_gemma":[0.000054954817,0.00014611831,0.003841063,0.00021334803,0.00006697699,0.00078853825,0.00023627841,0.40186298,0.0036310693,0.5871144,0.0019212468,0.00012299632],"about_ca_topic_score_codex":0.00095645245,"about_ca_topic_score_gemma":0.00081082806,"teacher_disagreement_score":0.017899089,"about_ca_system_score_codex":0.002784344,"about_ca_system_score_gemma":0.0014357953,"threshold_uncertainty_score":0.09466052},"labels":[],"label_agreement":null},{"id":"W1996781476","doi":"10.1155/2007/57585","title":"Lightlike Submanifolds of Indefinite Sasakian Manifolds","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":93,"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; Invariant (physics); Pure mathematics; Cauchy–Riemann equations; Cauchy distribution; Riemann surface; Characterization (materials science); Mathematical analysis; Physics; Mathematical physics","score_opus":0.04454951409421615,"score_gpt":0.33846751133937125,"score_spread":0.2939179972451551,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996781476","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":[0.9222303,0.0003120221,0.059699282,0.00015502796,0.000026789252,0.000035565852,0.000112273774,0.000088573186,0.017340118],"genre_scores_gemma":[0.9884487,0.00019529238,0.006142244,0.000025170184,0.000027987828,0.000020449637,0.00015040049,0.000015286476,0.0049745725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999008,0.000012200011,0.0000066973003,0.000021280324,0.000040995506,0.000017998427],"domain_scores_gemma":[0.99977666,0.000034639506,0.00005153392,0.000029392784,0.00004187565,0.000066042565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017112534,0.0004307862,0.0002738804,0.0010745059,0.00058791245,0.00081676146,0.00033100837,0.0002894676,0.0024687322],"category_scores_gemma":[0.00040226083,0.00015021593,0.00028402277,0.00023698456,0.0010316569,0.0011876662,0.0009309217,0.0005287033,0.00020992692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007070364,0.000047686153,0.007122204,0.00011809417,0.000024276163,0.001008936,0.0010138698,0.0044036373,0.058199253,0.9143226,0.0006896112,0.01297901],"study_design_scores_gemma":[0.000032050626,0.00027382828,0.024681175,0.000040070547,0.000041836156,0.0027561446,0.0015976051,0.076285265,0.040748756,0.8386626,0.01483307,0.000047579957],"about_ca_topic_score_codex":0.0005134964,"about_ca_topic_score_gemma":0.00046044,"teacher_disagreement_score":0.0024687322,"about_ca_system_score_codex":0.00041553218,"about_ca_system_score_gemma":0.00015309222,"threshold_uncertainty_score":0.00825876},"labels":[],"label_agreement":null},{"id":"W1998634522","doi":"10.1155/ijmms.2005.2631","title":"On some permutation polynomials over finite fields","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Coding theory and cryptography","field":"Computer Science","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":"Carleton University; University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science","score_opus":0.02046431334987847,"score_gpt":0.2977287348421196,"score_spread":0.2772644214922411,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998634522","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":[0.7200502,0.0015250912,0.13913827,0.0019732572,0.00035435767,0.000106809974,0.00038962177,0.00039309086,0.13606934],"genre_scores_gemma":[0.9519236,0.0014675803,0.017357526,0.00027838163,0.0004012369,0.00010025093,0.00024488306,0.000097450684,0.028129045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995408,0.00011319746,0.000014403923,0.0000430892,0.000121125406,0.00016729657],"domain_scores_gemma":[0.9996401,0.00015127097,0.000075539436,0.00004059609,0.00004249531,0.00004995414],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055535714,0.0008294971,0.00049605034,0.0009952921,0.0015210066,0.0013185191,0.00046934836,0.0006980843,0.004778296],"category_scores_gemma":[0.001363754,0.0002956542,0.00054577005,0.0014275938,0.0019134614,0.002151847,0.0008228214,0.0011308661,0.0010144472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055385408,0.000029264571,0.00029294912,0.000030236293,0.000004465049,0.00040534145,0.00026965613,0.0042847656,0.0017820742,0.98595077,0.0008737867,0.0060213823],"study_design_scores_gemma":[0.000032929893,0.00006295959,0.00046026194,0.000025692972,0.000007020566,0.00032762226,0.00008887603,0.020018762,0.0013472316,0.9710708,0.0065347017,0.000023159904],"about_ca_topic_score_codex":0.0012589061,"about_ca_topic_score_gemma":0.0010524768,"teacher_disagreement_score":0.004778296,"about_ca_system_score_codex":0.0010245373,"about_ca_system_score_gemma":0.00054231053,"threshold_uncertainty_score":0.015985012},"labels":[],"label_agreement":null},{"id":"W2002295660","doi":"10.1155/2009/819068","title":"The Rabinowitsch‐Mollin‐Williams Theorem Revisited","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Meromorphic and Entire Functions","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 Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science","score_opus":0.05174474895457456,"score_gpt":0.3385195638494256,"score_spread":0.28677481489485107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002295660","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":[0.6684871,0.008735434,0.15158053,0.019746907,0.0011278497,0.000052330066,0.0005074365,0.0005108673,0.14925161],"genre_scores_gemma":[0.9663305,0.0020773036,0.016213072,0.0011143262,0.0008252902,0.000031829593,0.00020147546,0.00006711882,0.013139066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989894,0.00014908734,0.00003760735,0.000317715,0.00035779338,0.00014841548],"domain_scores_gemma":[0.9978909,0.0009539987,0.00034149655,0.00041660582,0.00026735416,0.00012967348],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016677879,0.0005814936,0.0007706287,0.0020541013,0.0015195885,0.0022563527,0.0012869028,0.0011349493,0.0062329625],"category_scores_gemma":[0.0046350127,0.00026001062,0.0005189221,0.0021207985,0.0054420102,0.006525513,0.0017468318,0.0025554406,0.0012337915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041495827,0.000011298516,0.0022627884,0.000047697908,0.000009423668,0.00007668964,0.00024740712,0.0010619989,0.0009320259,0.96525896,0.0032206331,0.026829742],"study_design_scores_gemma":[0.00001832774,0.000037083195,0.0024592916,0.00003777027,0.000014123601,0.00044894623,0.0002427111,0.005824878,0.0018551602,0.9657403,0.023288498,0.000032854834],"about_ca_topic_score_codex":0.0015460432,"about_ca_topic_score_gemma":0.0012505089,"teacher_disagreement_score":0.0062329625,"about_ca_system_score_codex":0.001057562,"about_ca_system_score_gemma":0.0007449697,"threshold_uncertainty_score":0.020851374},"labels":[],"label_agreement":null},{"id":"W2002418204","doi":"10.1155/2008/573425","title":"Unsteady Stagnation‐Point Flow of a Viscoelastic Fluid in the Presence of a Magnetic Field","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Fluid Dynamics and Turbulent Flows","field":"Engineering","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 Regina","funders":"","keywords":"Stagnation point; Plane (geometry); Mathematics; Flow (mathematics); Magnetic field; Harmonic; Viscoelasticity; Field (mathematics); Point (geometry); Mathematical analysis; Geometry; Mechanics; Physics; Thermodynamics; Heat transfer; Pure mathematics","score_opus":0.013955467355295074,"score_gpt":0.24131288115525984,"score_spread":0.22735741379996477,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2002418204","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":[0.9917087,0.00021628765,0.0054365117,0.000110280926,0.000020239602,0.000010348948,0.000020616644,0.000039985316,0.002437133],"genre_scores_gemma":[0.9964851,0.00020246432,0.0014901351,0.000015418816,0.000018063543,0.000008748239,0.000032087006,0.000007716716,0.0017402755],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9999118,0.000022047117,0.0000035480346,0.000012298283,0.000026699257,0.000023584402],"domain_scores_gemma":[0.9996518,0.00017655766,0.00007752812,0.000011806096,0.000038943457,0.00004326508],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018695627,0.0003821476,0.0004228673,0.00046120625,0.00046198905,0.00077867496,0.0002490895,0.0005777604,0.0004811608],"category_scores_gemma":[0.0010092705,0.00020005924,0.00020201692,0.00024817022,0.0014051654,0.00040769964,0.0003836038,0.00038022076,0.00008829113],"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":[0.0014001705,0.00025400895,0.0050469707,0.00037103376,0.000093301125,0.0036868057,0.0012527693,0.23402797,0.71678585,0.01849735,0.0006081248,0.017975725],"study_design_scores_gemma":[0.00019414898,0.0009230373,0.011676789,0.000045014316,0.00006094684,0.0006916879,0.0003140572,0.88007367,0.100412205,0.0032609806,0.0022516723,0.000095813186],"about_ca_topic_score_codex":0.002920903,"about_ca_topic_score_gemma":0.00090788695,"teacher_disagreement_score":0.002920903,"about_ca_system_score_codex":0.0003500316,"about_ca_system_score_gemma":0.00052086567,"threshold_uncertainty_score":0.0058078766},"labels":[],"label_agreement":null},{"id":"W2003347187","doi":"10.1155/2008/597408","title":"Bipartite Toughness and <i>k</i>‐Factors in Bipartite Graphs","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Graph Theory Research","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":"Memorial University of Newfoundland","funders":"National Natural Science Foundation of China","keywords":"Algorithm; Bipartite graph; Artificial intelligence; Computer science; Mathematics; Graph; Combinatorics","score_opus":0.04947404051399971,"score_gpt":0.33014125648272574,"score_spread":0.280667215968726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003347187","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":[0.70145494,0.00058572704,0.23984213,0.00090817333,0.00025328202,0.00009122697,0.0005373155,0.0006380369,0.055689003],"genre_scores_gemma":[0.97845614,0.00020128279,0.015461997,0.00017513639,0.00013429325,0.00007770429,0.0002903762,0.00012411381,0.0050789835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896824,0.0001296122,0.00006383062,0.00025961272,0.0001961711,0.00038261505],"domain_scores_gemma":[0.99607795,0.0010444655,0.00093543803,0.00039316143,0.00039346018,0.0011554103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007883628,0.00062091684,0.0005771495,0.0021151025,0.0014675034,0.0023957028,0.0009004836,0.00096442585,0.0063241557],"category_scores_gemma":[0.003283988,0.00045266526,0.0010499781,0.0010786996,0.004423852,0.0030541571,0.0018122791,0.001782373,0.0007494425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013680966,0.00005126322,0.0017753748,0.000073939096,0.000022650222,0.00023187259,0.0005589334,0.003998914,0.0064358828,0.9768996,0.0018570188,0.007957724],"study_design_scores_gemma":[0.000032505774,0.00008139245,0.0022468793,0.000045485707,0.000025374015,0.00048696855,0.00045392365,0.021688938,0.0039331797,0.96554416,0.0053910757,0.00007015203],"about_ca_topic_score_codex":0.0020252727,"about_ca_topic_score_gemma":0.0012777008,"teacher_disagreement_score":0.0063241557,"about_ca_system_score_codex":0.0010616336,"about_ca_system_score_gemma":0.00057071814,"threshold_uncertainty_score":0.02115637},"labels":[],"label_agreement":null},{"id":"W2005845205","doi":"10.1155/2011/365491","title":"Newton Interpolating Series at <i>m</i> Distinct Points with Coefficients in a Real Banach Algebra","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Iterative Methods for Nonlinear 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":"Science North","funders":"","keywords":"Mathematics; Banach algebra; Series (stratigraphy); Banach space; Ode; Algebra over a field; Newton's method; Value (mathematics); Boundary values; Boundary value problem; Mathematical analysis; Pure mathematics; Nonlinear system","score_opus":0.10887108619926257,"score_gpt":0.37559256129287905,"score_spread":0.2667214750936165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005845205","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":[0.16331068,0.0011924069,0.8063553,0.0004211759,0.00032983403,0.00006437474,0.00009098853,0.00018946861,0.028045746],"genre_scores_gemma":[0.84116215,0.0010579214,0.14358734,0.00009033702,0.0001636591,0.00009019283,0.00007949999,0.000119858254,0.0136490725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995926,0.00011878947,0.000024171226,0.00006106639,0.00015732937,0.00004604999],"domain_scores_gemma":[0.9990896,0.000324817,0.0002366339,0.000066031746,0.00015191046,0.00013104182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010494611,0.0008071789,0.0006027294,0.0013727543,0.0008170712,0.001340501,0.0010146169,0.00064453366,0.002422553],"category_scores_gemma":[0.0023060224,0.00032308826,0.00072518503,0.0010494806,0.0017746598,0.0016274715,0.0010671066,0.0017847857,0.0004898877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007127752,0.000034687902,0.00049464375,0.00010804975,0.000019315712,0.00030570058,0.0003178377,0.01845343,0.009686881,0.9525898,0.00057027536,0.017348105],"study_design_scores_gemma":[0.000022992004,0.00018400508,0.0007438063,0.000087840315,0.00002886419,0.0010010678,0.00021676,0.44903466,0.013744613,0.5258318,0.00903477,0.00006883864],"about_ca_topic_score_codex":0.0005741072,"about_ca_topic_score_gemma":0.0005584778,"teacher_disagreement_score":0.002422553,"about_ca_system_score_codex":0.0008578896,"about_ca_system_score_gemma":0.0006267883,"threshold_uncertainty_score":0.008104205},"labels":[],"label_agreement":null},{"id":"W2008069529","doi":"10.1155/s0161171203212035","title":"Toeplitz operators with BMO symbols and the Berezin transform","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":61,"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; Toeplitz matrix; Pure mathematics; Algebra over a field; Pseudodifferential operators; Toeplitz operator; Operator theory; Mathematical analysis","score_opus":0.027989971004870703,"score_gpt":0.30553997835902713,"score_spread":0.2775500073541564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008069529","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":[0.63539684,0.002144782,0.29122096,0.0013023482,0.00022273467,0.00002703474,0.00009325424,0.0002258487,0.06936628],"genre_scores_gemma":[0.97165686,0.00057738816,0.015959319,0.00016751712,0.00012293366,0.000030624666,0.000057273155,0.000060242186,0.0113679515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99950707,0.000116527684,0.000018153258,0.00006892852,0.00018105983,0.00010823708],"domain_scores_gemma":[0.99914896,0.0003374627,0.00019175635,0.000080943166,0.000097865144,0.00014290324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007115134,0.00074751885,0.0005757463,0.001400327,0.0007450762,0.0017963535,0.00070922147,0.0010711219,0.002949389],"category_scores_gemma":[0.0025102333,0.0002372269,0.00036779864,0.0007271085,0.0026717314,0.002851448,0.0017634856,0.0017990626,0.000615395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033784643,0.000018686354,0.00015644982,0.00003488704,0.000003930662,0.00015769101,0.00016332799,0.0027553625,0.004875146,0.98823404,0.00021638702,0.00335022],"study_design_scores_gemma":[0.000014500987,0.000054185017,0.00041538774,0.000020327774,0.0000058089445,0.00035823078,0.00012335129,0.044684265,0.003650979,0.94875026,0.0018958577,0.000026868845],"about_ca_topic_score_codex":0.0005282432,"about_ca_topic_score_gemma":0.0002589619,"teacher_disagreement_score":0.002949389,"about_ca_system_score_codex":0.0004919321,"about_ca_system_score_gemma":0.00039169847,"threshold_uncertainty_score":0.009866655},"labels":[],"label_agreement":null},{"id":"W2010601517","doi":"10.1155/2007/89713","title":"On the Common Index Divisors of a Dihedral Field of Prime Degree","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Carleton University; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Prime (order theory); Degree (music); Dihedral angle; Divisor (algebraic geometry); Index (typography); Dihedral group; Field (mathematics); Prime factor; Greatest common divisor; Discrete mathematics; Combinatorics; Pure mathematics; Group (periodic table); Computer science","score_opus":0.12379437118041012,"score_gpt":0.41431833986304956,"score_spread":0.2905239686826394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2010601517","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":[0.83542687,0.0015074317,0.06349017,0.0008201056,0.00017814976,0.0001149799,0.000479029,0.00018234385,0.097800866],"genre_scores_gemma":[0.975916,0.00062009355,0.016937807,0.00006842461,0.00019448035,0.0000658997,0.0005142266,0.00005481727,0.005628195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834883,0.00023728117,0.00012493588,0.0003626187,0.00055819313,0.00036819655],"domain_scores_gemma":[0.99163085,0.0036294782,0.0013098723,0.00047535988,0.0011616928,0.0017927649],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002787053,0.00070475176,0.0012545609,0.007471477,0.0028482878,0.0045085126,0.000709496,0.0006561333,0.0044507287],"category_scores_gemma":[0.009573839,0.00041451285,0.0006612647,0.0028390328,0.0049239593,0.0049950513,0.0028851947,0.0016501193,0.00085935293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039704505,0.000053228123,0.0073799505,0.00009032537,0.000023276141,0.0004411788,0.00095593993,0.0027180137,0.0037863818,0.96888363,0.0015384261,0.013732559],"study_design_scores_gemma":[0.00009429971,0.00028703327,0.008331874,0.00019536912,0.000067352164,0.0011847776,0.0011201957,0.01155792,0.008649942,0.9492031,0.019218542,0.00008951699],"about_ca_topic_score_codex":0.0008591191,"about_ca_topic_score_gemma":0.00058581313,"teacher_disagreement_score":0.007471477,"about_ca_system_score_codex":0.002609975,"about_ca_system_score_gemma":0.0009513842,"threshold_uncertainty_score":0.018936753},"labels":[],"label_agreement":null},{"id":"W2013053235","doi":"10.1155/s0161171201011292","title":"On the constructions of Tits and Faulkner: an isomorphism theorem","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Topics in Algebra","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":"University of Ottawa","keywords":"Mathematics; Isomorphism (crystallography); Construct (python library); Field (mathematics); Algebraically closed field; Isomorphism theorem; Isomorphism extension theorem; Pure mathematics; Algebra over a field; Picard–Lindelöf theorem; Fixed-point theorem","score_opus":0.061214586024448195,"score_gpt":0.3603860628722453,"score_spread":0.2991714768477971,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013053235","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37082726,0.0021869421,0.4218949,0.0045964313,0.00051086996,0.000107573534,0.00033725926,0.00073473353,0.19880404],"genre_scores_gemma":[0.9088304,0.00081538054,0.06441043,0.00055124913,0.00020736817,0.00006952272,0.00022236665,0.00018903859,0.024704257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937636,0.00017911395,0.000028271566,0.0001032628,0.00016570467,0.00014728917],"domain_scores_gemma":[0.999172,0.00026832666,0.00008108031,0.00019975936,0.00013773548,0.00014120256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013771895,0.00027668974,0.00043902674,0.0012132123,0.0019403887,0.0014801705,0.0005649961,0.0007803455,0.0038005998],"category_scores_gemma":[0.0030079558,0.0002725701,0.0007425737,0.0010850008,0.0049566375,0.006171071,0.0028625804,0.0016564889,0.0005920996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001032558,0.000005541599,0.00012575796,0.000009439396,0.0000011929665,0.000024160729,0.00026634286,0.00013712171,0.00022419379,0.99601424,0.00046852347,0.0027131853],"study_design_scores_gemma":[0.000008688507,0.000019565123,0.0003565647,0.000013984177,0.000004826221,0.00013858602,0.00014734211,0.0015011005,0.00095058803,0.9851188,0.011728042,0.000011831591],"about_ca_topic_score_codex":0.0013705128,"about_ca_topic_score_gemma":0.0010502181,"teacher_disagreement_score":0.0038005998,"about_ca_system_score_codex":0.0013435174,"about_ca_system_score_gemma":0.0009231318,"threshold_uncertainty_score":0.012714267},"labels":[],"label_agreement":null},{"id":"W2013329579","doi":"10.1155/2011/135481","title":"The Modified Negative Decision Number in Graphs","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Graph Theory Research","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":"Toronto Metropolitan University","funders":"","keywords":"Algorithm; Computer science","score_opus":0.06287889222005405,"score_gpt":0.3579722105927675,"score_spread":0.29509331837271346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2013329579","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":[0.5526276,0.0034510233,0.38474935,0.0020443574,0.0003356604,0.00009899003,0.0011098401,0.00053088,0.055052295],"genre_scores_gemma":[0.9315233,0.0005580143,0.06177651,0.00024415698,0.00017638638,0.00011642786,0.00035603077,0.00006462153,0.005184534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824,0.000491304,0.00008429687,0.00049139536,0.00046813718,0.00022496068],"domain_scores_gemma":[0.9944622,0.003575181,0.0006245304,0.0004317456,0.0004287033,0.00047764502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013749124,0.00070078595,0.00061153463,0.0015732904,0.00074493675,0.0017803962,0.0011971837,0.0006950473,0.0031936713],"category_scores_gemma":[0.009726804,0.0003992751,0.0002939039,0.0013351451,0.0023301768,0.0034167643,0.0013723654,0.0014229212,0.00044179612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001206866,0.00010245234,0.0045995014,0.0004197314,0.00006188612,0.00049584615,0.0003380033,0.079707265,0.0184773,0.79689753,0.0069717476,0.090721846],"study_design_scores_gemma":[0.000044280467,0.00013910318,0.002011438,0.00006010203,0.000025915071,0.00064353674,0.00007415271,0.15900971,0.0043195086,0.82357943,0.010027648,0.000065052016],"about_ca_topic_score_codex":0.00041835778,"about_ca_topic_score_gemma":0.0005802889,"teacher_disagreement_score":0.0031936713,"about_ca_system_score_codex":0.0011296613,"about_ca_system_score_gemma":0.00046248586,"threshold_uncertainty_score":0.010683894},"labels":[],"label_agreement":null},{"id":"W2018463892","doi":"10.1155/s0161171204309038","title":"Mirror symmetry and conformal flatness in general Relativity","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","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 Moncton; Royal Military College of Canada","funders":"","keywords":"Flatness (cosmology); Conformal map; Mathematics of general relativity; Mathematics; Spacetime; Symmetry (geometry); General relativity; Introduction to the mathematics of general relativity; Mathematical physics; Theoretical physics; Conformal symmetry; Ricci curvature; Tensor (intrinsic definition); Classical mechanics; Physics; Pure mathematics; Geometry; Numerical relativity; Quantum mechanics; Curvature; Cosmology","score_opus":0.013822013136964743,"score_gpt":0.2889540028947879,"score_spread":0.27513198975782316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018463892","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":[0.8280924,0.0022568614,0.050417893,0.0018323665,0.00028698097,0.00003953794,0.00014225901,0.0002122396,0.11671947],"genre_scores_gemma":[0.98891747,0.000586027,0.0036219347,0.00012975762,0.00015706469,0.000010563248,0.00006427402,0.000025348301,0.0064876],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99979407,0.000049043774,0.000010427702,0.000040246432,0.000059818158,0.000046476645],"domain_scores_gemma":[0.9996136,0.00006138936,0.00009097453,0.000111319954,0.00006364142,0.000059225134],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043142293,0.0006590265,0.00031700337,0.00090093666,0.0010699884,0.0012000696,0.00045217984,0.00049458764,0.0027672248],"category_scores_gemma":[0.0008781457,0.0002679701,0.0005745457,0.00039364406,0.0028728668,0.0015261256,0.0011789033,0.0009811542,0.00037642554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015069351,0.000008062105,0.00035160626,0.000020235644,0.0000073384185,0.0002332702,0.00017951474,0.00085321924,0.0024637666,0.99298906,0.0005371125,0.0023417023],"study_design_scores_gemma":[0.0000131540055,0.0000306084,0.0015775107,0.000008982202,0.000008885536,0.0003923177,0.00011219196,0.0030631064,0.00091057457,0.99152803,0.0023398618,0.000014850615],"about_ca_topic_score_codex":0.0020148389,"about_ca_topic_score_gemma":0.0011821768,"teacher_disagreement_score":0.0027672248,"about_ca_system_score_codex":0.00056826114,"about_ca_system_score_gemma":0.00035611764,"threshold_uncertainty_score":0.009257317},"labels":[],"label_agreement":null},{"id":"W2021737601","doi":"10.1155/ijmms.2005.1555","title":"Simplicity and stability of the first eigenvalue of a nonlinear elliptic system","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nonlinear Partial Differential Equations","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":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Simplicity; Eigenvalues and eigenvectors; Nonlinear system; Stability (learning theory); Mathematical analysis; Applied mathematics; Pure mathematics; Computer science","score_opus":0.06070580964211534,"score_gpt":0.33619952140847104,"score_spread":0.2754937117663557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021737601","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":[0.59831524,0.00068320514,0.351013,0.0012755848,0.00013605718,0.00012632529,0.0001184185,0.00019619343,0.04813587],"genre_scores_gemma":[0.986484,0.00024939113,0.0074713416,0.000041292413,0.00007050015,0.00007005933,0.000027197755,0.000033312488,0.0055528996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996363,0.00008738134,0.000019921577,0.00006323847,0.0001415962,0.000051614916],"domain_scores_gemma":[0.9983546,0.0006700155,0.0004241572,0.000143815,0.00024415043,0.00016324359],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073037285,0.0006177856,0.0005962884,0.00093350594,0.0008317675,0.0012210843,0.00046130875,0.0008325775,0.0025958586],"category_scores_gemma":[0.0033164867,0.00036766226,0.0007589853,0.00031886506,0.0020613228,0.001202677,0.0018068624,0.0010355534,0.00040522692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023777972,0.00009049025,0.0023680155,0.00032653147,0.00008301128,0.0017515271,0.0015877446,0.09006048,0.103169955,0.78660256,0.0017146734,0.01200721],"study_design_scores_gemma":[0.00009829583,0.0003321579,0.0030120949,0.000057095094,0.00003617136,0.0014003917,0.00034675893,0.5437791,0.018650185,0.42843556,0.0037345272,0.00011764941],"about_ca_topic_score_codex":0.0006137825,"about_ca_topic_score_gemma":0.0002620861,"teacher_disagreement_score":0.0025958586,"about_ca_system_score_codex":0.00046068738,"about_ca_system_score_gemma":0.00038157738,"threshold_uncertainty_score":0.008684039},"labels":[],"label_agreement":null},{"id":"W2022705034","doi":"10.1155/2007/23408","title":"On Polynomials of the Form<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"E1\"><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mi>r</mml:mi></mml:msup><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mi>x</mml:mi><mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>q</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>","year":2007,"lang":"lv","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":52,"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":"Algorithm; Computer science","score_opus":0.02183615666117088,"score_gpt":0.2576651709614648,"score_spread":0.2358290143002939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022705034","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.040068913,0.00421642,0.48217374,0.006302287,0.0032175304,0.00028303263,0.0053958315,0.0032243496,0.4551179],"genre_scores_gemma":[0.48318413,0.008115916,0.13338888,0.0036495854,0.0032184294,0.00047073286,0.014149586,0.005914257,0.34790847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997689,0.00052226917,0.000106405365,0.0003796659,0.0007238933,0.00057862385],"domain_scores_gemma":[0.9969674,0.0014974045,0.0002407068,0.00038544592,0.00075934903,0.00014978531],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002182596,0.0018379014,0.0009789584,0.0022663653,0.0018464159,0.003756718,0.0012367943,0.0008812378,0.094518915],"category_scores_gemma":[0.009353681,0.0007291006,0.0020174216,0.002992651,0.002235978,0.006661515,0.0035303026,0.0035878634,0.03915093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005124512,0.00012864747,0.0010242093,0.0005812252,0.00005738839,0.0004439284,0.0011037219,0.008854748,0.0029285657,0.75572884,0.13190036,0.09673584],"study_design_scores_gemma":[0.0001831319,0.00014222204,0.0014028146,0.00029132934,0.000071737784,0.00045642967,0.0005269392,0.02521796,0.0041172137,0.79628086,0.17121433,0.00009503766],"about_ca_topic_score_codex":0.0118240975,"about_ca_topic_score_gemma":0.014819899,"teacher_disagreement_score":0.094518915,"about_ca_system_score_codex":0.0029479421,"about_ca_system_score_gemma":0.0016980255,"threshold_uncertainty_score":0.31619728},"labels":[],"label_agreement":null},{"id":"W2024336403","doi":"10.1155/2012/182785","title":"Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials","year":2012,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Identities","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":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Orthogonal polynomials; Pure mathematics; Discrete orthogonal polynomials; Classical orthogonal polynomials; Difference polynomials; Macdonald polynomials; Class (philosophy); Algebra over a field; Computer science","score_opus":0.07927531470460589,"score_gpt":0.37460259853007827,"score_spread":0.29532728382547235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024336403","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":[0.5500222,0.0048359865,0.29492167,0.0027274718,0.0011417287,0.00014936429,0.0005411063,0.00032412782,0.1453363],"genre_scores_gemma":[0.9186041,0.0025844066,0.046838522,0.00062469917,0.001306432,0.00009503847,0.00030508896,0.000089389,0.029552422],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996094,0.00007244416,0.00001790253,0.00008047957,0.00013161612,0.00008819955],"domain_scores_gemma":[0.99922764,0.0002291879,0.00016334646,0.00007796454,0.0001548366,0.00014700403],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005079846,0.00047037963,0.00040617428,0.0017704202,0.0008027997,0.0012990816,0.0005910269,0.0005325452,0.005842697],"category_scores_gemma":[0.002141393,0.00018628065,0.00056494365,0.0011561303,0.0012186071,0.003191929,0.0011720792,0.0018765758,0.00058372284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031880114,0.0000146981965,0.00056264095,0.000063647254,0.0000053426243,0.00019271216,0.00018609264,0.0010628392,0.0019125232,0.97507495,0.0013704512,0.019522207],"study_design_scores_gemma":[0.000029182833,0.00007455154,0.0016190731,0.000044796772,0.000016932401,0.0013487837,0.00019262913,0.016721943,0.0018367044,0.9417336,0.036344156,0.00003769314],"about_ca_topic_score_codex":0.00044437847,"about_ca_topic_score_gemma":0.00057025376,"teacher_disagreement_score":0.005842697,"about_ca_system_score_codex":0.0007467353,"about_ca_system_score_gemma":0.0004908974,"threshold_uncertainty_score":0.019545734},"labels":[],"label_agreement":null},{"id":"W2026049990","doi":"10.1155/2007/60595","title":"Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Electromagnetic Scattering and Analysis","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":"University of Calgary","funders":"","keywords":"STRIPS; Mathematics; Mathematical analysis; Elliptic integral; Plane (geometry); Charge density; Elliptic function; Charge (physics); Integral equation; Electrostatics; Elliptic curve; Geometry; Physics; Quantum mechanics","score_opus":0.013512958181098943,"score_gpt":0.28974423109910635,"score_spread":0.2762312729180074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026049990","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":[0.62661475,0.0020306564,0.26921546,0.004388749,0.00049546047,0.00014904885,0.0004341747,0.00019469617,0.096476935],"genre_scores_gemma":[0.9600911,0.000605581,0.018930675,0.0003976507,0.00020505529,0.000106365056,0.00014815145,0.000064485794,0.019450897],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995809,0.00011263685,0.000016862103,0.00007884563,0.00011388799,0.00009678637],"domain_scores_gemma":[0.9993774,0.00027677076,0.0001058479,0.000041737785,0.00008846454,0.0001097599],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006766081,0.0006879613,0.0013726995,0.00075069984,0.001358341,0.0018516382,0.00093911676,0.002912972,0.0044150297],"category_scores_gemma":[0.001361951,0.0007610383,0.001042906,0.0007904465,0.002328767,0.0015279375,0.0024029,0.0012508549,0.00037668494],"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":[0.0004694886,0.00016980966,0.0030226025,0.00043832447,0.00026783725,0.007433438,0.00041500482,0.7072905,0.020909982,0.24968733,0.0036271156,0.0062686424],"study_design_scores_gemma":[0.00026190834,0.000120576384,0.0023630823,0.000043094762,0.000070677255,0.0018852617,0.00047651242,0.92537266,0.0026806295,0.06397311,0.002636855,0.00011556009],"about_ca_topic_score_codex":0.0027070171,"about_ca_topic_score_gemma":0.0014286252,"teacher_disagreement_score":0.0044150297,"about_ca_system_score_codex":0.001026111,"about_ca_system_score_gemma":0.0008911157,"threshold_uncertainty_score":0.014769793},"labels":[],"label_agreement":null},{"id":"W2026948555","doi":"10.1155/s0161171200002362","title":"Decomposition conditions for two‐point boundary value problems","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Numerical methods in engineering","field":"Engineering","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":"Trent University","funders":"","keywords":"Mathematics; Decomposition; Value (mathematics); Boundary value problem; Boundary values; Point (geometry); Pure mathematics; Applied mathematics; Mathematical analysis; Statistics; Geometry; Chemistry","score_opus":0.021222149997214893,"score_gpt":0.3421408015204766,"score_spread":0.3209186515232617,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026948555","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31899586,0.0012606172,0.6535037,0.0019018546,0.00027020535,0.00015575683,0.00025304093,0.00014952027,0.023509437],"genre_scores_gemma":[0.9026869,0.0012782514,0.07981635,0.00025652983,0.00022231188,0.00040229424,0.0007820358,0.00018433308,0.014371054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949646,0.00016661489,0.00003741743,0.000072206916,0.000119366945,0.00010791384],"domain_scores_gemma":[0.9985336,0.0007437772,0.00017548355,0.00007160329,0.00024365848,0.00023187566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019803236,0.0011925981,0.00094512093,0.0017035017,0.0007754346,0.0019122916,0.0008530307,0.0020283773,0.0033883806],"category_scores_gemma":[0.005557894,0.00058774435,0.001006435,0.00045179145,0.001935204,0.0023517364,0.0028411937,0.001736002,0.0004256492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030197087,0.00015886605,0.0012526328,0.00029598482,0.00006883353,0.0009251631,0.0006266381,0.10224055,0.026085252,0.8503124,0.0026225552,0.015109153],"study_design_scores_gemma":[0.00016099779,0.000098542194,0.000496208,0.00008745255,0.000019997146,0.00017671377,0.00023367185,0.686391,0.0041519958,0.30606052,0.0020843537,0.00003857566],"about_ca_topic_score_codex":0.0016187677,"about_ca_topic_score_gemma":0.00056903454,"teacher_disagreement_score":0.0033883806,"about_ca_system_score_codex":0.0007596905,"about_ca_system_score_gemma":0.0009357375,"threshold_uncertainty_score":0.011335254},"labels":[],"label_agreement":null},{"id":"W2027949548","doi":"10.1155/ijmms.2005.863","title":"A degree condition for the existence of <i>k</i>‐factors with prescribed properties","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Graph Theory Research","field":"Computer Science","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":"Dalhousie University","funders":"","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.10370997729914164,"score_gpt":0.3398088615019204,"score_spread":0.23609888420277877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027949548","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":[0.778598,0.00074921775,0.15236935,0.001599931,0.00024076895,0.00015690055,0.0014156068,0.00069400435,0.06417624],"genre_scores_gemma":[0.9678935,0.00023409698,0.027807906,0.00022954482,0.0001037893,0.00011694288,0.00056038605,0.00014176253,0.00291208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876606,0.00012786842,0.0001263575,0.00036679403,0.00017412125,0.000438915],"domain_scores_gemma":[0.99014777,0.005423399,0.0010192588,0.0011054256,0.0011432108,0.0011610345],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010068829,0.00057798874,0.0007234301,0.00085353106,0.0014325859,0.0018885793,0.0007455983,0.0013863326,0.0052576596],"category_scores_gemma":[0.009639041,0.0006272425,0.0009663445,0.00077858666,0.0024117737,0.002994843,0.0014937381,0.0012804436,0.0013725327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0046245884,0.00038302512,0.035412826,0.00096523046,0.0001563765,0.0026082606,0.0021719353,0.021595048,0.1740158,0.6799288,0.011678515,0.0664596],"study_design_scores_gemma":[0.0011334652,0.001280831,0.024755152,0.00029052803,0.0002177451,0.008018401,0.0017980144,0.0615662,0.14638105,0.69982886,0.05433367,0.00039610564],"about_ca_topic_score_codex":0.0010363893,"about_ca_topic_score_gemma":0.00096140744,"teacher_disagreement_score":0.0052576596,"about_ca_system_score_codex":0.00081088865,"about_ca_system_score_gemma":0.00080953026,"threshold_uncertainty_score":0.017588675},"labels":[],"label_agreement":null},{"id":"W2028704409","doi":"10.1155/ijmms.2005.1387","title":"A weak periodicity condition for rings","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Element (criminal law); Nilpotent; Commutative property; Jacobson radical; Ring (chemistry); Pure mathematics; Center (category theory); Algebra over a field; Discrete mathematics; Law; Crystallography","score_opus":0.05500801636814043,"score_gpt":0.3874104494105624,"score_spread":0.332402433042422,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028704409","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":[0.7957391,0.0012309799,0.12238055,0.0018272435,0.0006760331,0.00017953095,0.00089930126,0.00042228482,0.07664484],"genre_scores_gemma":[0.9770323,0.0003326939,0.016122883,0.0002154015,0.0005726368,0.000117955904,0.00030917727,0.000050244595,0.005246691],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986975,0.00020538032,0.00019544746,0.00026625607,0.00037287216,0.00026249862],"domain_scores_gemma":[0.9962937,0.0013364538,0.00048339998,0.00062139943,0.0007567138,0.0005083862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017093836,0.00030095846,0.0005201859,0.0009061486,0.0015657158,0.0018815697,0.0004761127,0.00093899143,0.0049741277],"category_scores_gemma":[0.0040215612,0.0003859942,0.0005575981,0.00057642214,0.0025096138,0.003330807,0.0015589546,0.0010355879,0.0009456758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025075002,0.00004752914,0.0025267717,0.00015743054,0.000016687736,0.0006855729,0.0004908148,0.0010196402,0.032427024,0.9475188,0.0023354548,0.01252339],"study_design_scores_gemma":[0.00013014457,0.00051683135,0.0070722695,0.000105981795,0.000049067283,0.0025463323,0.00072840083,0.017986959,0.035522517,0.90327436,0.031959098,0.00010800502],"about_ca_topic_score_codex":0.00026603235,"about_ca_topic_score_gemma":0.0002520865,"teacher_disagreement_score":0.0049741277,"about_ca_system_score_codex":0.00043969997,"about_ca_system_score_gemma":0.0007756367,"threshold_uncertainty_score":0.016640127},"labels":[],"label_agreement":null},{"id":"W2028841589","doi":"10.1155/2010/458563","title":"The 3<i>x</i> + 1 Problem as a String Rewriting System","year":2010,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Benford’s Law and Fraud Detection","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":"Thornhill Medical (Canada)","funders":"","keywords":"Mathematics; Combinatorics; String (physics); Integer (computer science); Conjecture; Simple (philosophy); Function (biology); Discrete mathematics; Unary operation","score_opus":0.029335045879348504,"score_gpt":0.3222089849324064,"score_spread":0.2928739390530579,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028841589","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08536225,0.0004939756,0.8677033,0.0098338,0.0003550817,0.00026457483,0.0006294196,0.00090656173,0.034450978],"genre_scores_gemma":[0.46803474,0.00045846388,0.5064764,0.0015749375,0.00038759757,0.00042088606,0.0010880255,0.000442921,0.021115933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9944458,0.0019416388,0.0006581095,0.0014492375,0.00096168567,0.000543581],"domain_scores_gemma":[0.99308395,0.0042260876,0.0006889171,0.0010472632,0.0007650548,0.00018884639],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0044235075,0.0004680478,0.0010527465,0.0008175144,0.001955449,0.0050230417,0.0019927288,0.0031677566,0.006432544],"category_scores_gemma":[0.011468716,0.0006078277,0.0016435807,0.0013947815,0.004573428,0.007059422,0.0029774406,0.0031863688,0.0019488874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005018271,0.000032989083,0.00042031214,0.000103568884,0.000014958539,0.00038487962,0.00044897367,0.0066158036,0.0014023044,0.9734494,0.002463449,0.014613204],"study_design_scores_gemma":[0.000031074702,0.000024212683,0.00013494914,0.000026417814,0.000015327883,0.0002323749,0.00012776679,0.028626887,0.001821617,0.959757,0.009176296,0.000026129965],"about_ca_topic_score_codex":0.0024215989,"about_ca_topic_score_gemma":0.0014484223,"teacher_disagreement_score":0.006432544,"about_ca_system_score_codex":0.0029120746,"about_ca_system_score_gemma":0.0024170866,"threshold_uncertainty_score":0.023394048},"labels":[],"label_agreement":null},{"id":"W2029174749","doi":"10.1155/s0161171203208048","title":"Fatou maps in <i>ℙ</i><sup><i>n</i></sup> dynamics","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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 Toronto","funders":"","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.03149574013398386,"score_gpt":0.31878952896927204,"score_spread":0.28729378883528817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029174749","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":[0.9343219,0.000460722,0.03832658,0.0004776037,0.0000535277,0.00002785625,0.0000331336,0.00005911842,0.026239699],"genre_scores_gemma":[0.9907256,0.0002676727,0.004116049,0.000025208947,0.000032290092,0.000023436181,0.000018330773,0.000013795446,0.004777713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999088,0.000013070781,0.0000038517624,0.000018510002,0.000023335233,0.000032473923],"domain_scores_gemma":[0.99974924,0.00004345738,0.00007461015,0.000023383323,0.000033803837,0.00007543293],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020001862,0.00032350526,0.00024049055,0.00083131035,0.0010735093,0.0012359486,0.00027682455,0.0004025234,0.0021498655],"category_scores_gemma":[0.000781788,0.00015719175,0.00025039725,0.00027641287,0.0017797947,0.0015868797,0.0010662773,0.00052616076,0.0001922603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004445106,0.000021553506,0.0027950092,0.000025853602,0.000011520619,0.00048239666,0.0014258904,0.0065830816,0.009331432,0.9732237,0.0005311117,0.0055240444],"study_design_scores_gemma":[0.000036022928,0.00018919448,0.009199045,0.000048347552,0.000024550021,0.0013657097,0.0020602043,0.14757232,0.01190895,0.80203795,0.025511546,0.00004610774],"about_ca_topic_score_codex":0.0011409987,"about_ca_topic_score_gemma":0.0006394403,"teacher_disagreement_score":0.0021498655,"about_ca_system_score_codex":0.0007441066,"about_ca_system_score_gemma":0.00023715408,"threshold_uncertainty_score":0.0071920753},"labels":[],"label_agreement":null},{"id":"W2029880297","doi":"10.1155/2007/19381","title":"Integer Powers of Arcsin","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":58,"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":"Mathematics; Ramanujan's sum; Generalization; Inverse trigonometric functions; Integer (computer science); Simple (philosophy); Binomial coefficient; Trigonometric functions; Function (biology); Binomial (polynomial); Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Statistics; Geometry","score_opus":0.05366947006939587,"score_gpt":0.3913133740599157,"score_spread":0.3376439039905198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029880297","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":[0.25067058,0.0023080371,0.31318,0.0011654207,0.0017980909,0.00007918779,0.00021178518,0.0008752313,0.42971173],"genre_scores_gemma":[0.8988808,0.0010248357,0.03654204,0.00034453472,0.00048826917,0.000059612496,0.0001130471,0.0002900446,0.062256813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.999699,0.00006523603,0.000015691656,0.000057633766,0.000110660265,0.000051690076],"domain_scores_gemma":[0.9996464,0.00010654095,0.000049415714,0.00007321552,0.00006265992,0.0000616684],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004768917,0.00069132634,0.00041511748,0.0012563237,0.0009844778,0.0023014555,0.0006328844,0.000517575,0.011381501],"category_scores_gemma":[0.0018064196,0.00021444503,0.00036164935,0.0006727166,0.0017754473,0.003657434,0.0010219777,0.0013181022,0.002037027],"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":[0.000015393327,0.000009945752,0.0000591477,0.00002286198,0.0000013303016,0.000054083735,0.00008027832,0.00045880093,0.001068819,0.99096674,0.000769862,0.0064927815],"study_design_scores_gemma":[0.0000067041665,0.000021296531,0.0001084083,0.00002924266,0.0000061191636,0.0002829447,0.000071998875,0.0070609264,0.002229965,0.974158,0.016008964,0.000015473564],"about_ca_topic_score_codex":0.00016190602,"about_ca_topic_score_gemma":0.0002448537,"teacher_disagreement_score":0.011381501,"about_ca_system_score_codex":0.00060408807,"about_ca_system_score_gemma":0.00029891334,"threshold_uncertainty_score":0.03807491},"labels":[],"label_agreement":null},{"id":"W2031321365","doi":"10.1155/s0161171202110325","title":"On the irregularity of the distribution of the sums of pairs of odd primes","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Analytic Number 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":"Toronto Metropolitan University","funders":"Ryerson University","keywords":"Mathematics; Conjecture; Combinatorics; Distribution (mathematics); Discrete mathematics; Mathematical analysis","score_opus":0.07882449934248922,"score_gpt":0.34439862527373954,"score_spread":0.2655741259312503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031321365","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":[0.9168138,0.00047771801,0.075013354,0.0010028551,0.000071283735,0.000020830314,0.000252852,0.00015683538,0.0061906115],"genre_scores_gemma":[0.9911884,0.0003047283,0.006996126,0.000076346885,0.00019736019,0.000054871784,0.00022389833,0.00007035229,0.00088799983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99751496,0.0009049478,0.00014628883,0.0005964558,0.00051548507,0.00032191264],"domain_scores_gemma":[0.96309227,0.025249138,0.0037567278,0.0043640668,0.0015512983,0.001986515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0060246866,0.00044305227,0.0012978498,0.0025521892,0.0016339475,0.0034543688,0.0018737832,0.0007818226,0.0022944992],"category_scores_gemma":[0.04334454,0.00067350623,0.00059015385,0.0015673058,0.006246949,0.005965009,0.0027527814,0.0021011953,0.0003351657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015085293,0.00013829116,0.042293612,0.00023076426,0.0000994871,0.00077150925,0.0018207368,0.038222823,0.010130347,0.86656445,0.0034839897,0.034735538],"study_design_scores_gemma":[0.00006568601,0.00012208831,0.011368103,0.00006462289,0.000038187074,0.0009493148,0.00037057407,0.14605954,0.004223801,0.83434665,0.002301705,0.00008973453],"about_ca_topic_score_codex":0.0004710217,"about_ca_topic_score_gemma":0.0003368086,"teacher_disagreement_score":0.0060246866,"about_ca_system_score_codex":0.0010334098,"about_ca_system_score_gemma":0.000535365,"threshold_uncertainty_score":0.03186196},"labels":[],"label_agreement":null},{"id":"W2031948927","doi":"10.1155/s0161171201006044","title":"On zero subrings and periodic subrings","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subring; Mathematics; Zero (linguistics); Pure mathematics; Ring (chemistry); Mathematical proof; Discrete mathematics; Geometry","score_opus":0.047620037551145064,"score_gpt":0.3500923099014139,"score_spread":0.3024722723502688,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031948927","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41932273,0.009910292,0.43953398,0.0030825667,0.0013827627,0.00019089832,0.00081432937,0.0010406536,0.12472189],"genre_scores_gemma":[0.8962713,0.0034571572,0.082082495,0.00060182123,0.0010974349,0.00016261505,0.0005562487,0.00015432863,0.015616772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998577,0.00031385303,0.00016944362,0.0002892599,0.00040662763,0.00024389481],"domain_scores_gemma":[0.99363625,0.0036315778,0.0007304716,0.0006472626,0.00075239467,0.00060200755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032361185,0.0013540973,0.00090338354,0.0028322588,0.0013825262,0.0025362498,0.001055077,0.0007046742,0.005772488],"category_scores_gemma":[0.006459002,0.00064211554,0.0012594194,0.0012181788,0.0048787636,0.007870698,0.003725689,0.0027564699,0.0010418613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007865111,0.000034115892,0.0005486663,0.00019595638,0.00001625821,0.000612702,0.00068288116,0.0007740778,0.0040493133,0.97914463,0.0014042447,0.012458598],"study_design_scores_gemma":[0.00004907596,0.00013329355,0.0011434745,0.00007496784,0.000050432933,0.0010460495,0.00038265038,0.0038349815,0.008460986,0.9677627,0.017011056,0.000050354498],"about_ca_topic_score_codex":0.00049415365,"about_ca_topic_score_gemma":0.0003972792,"teacher_disagreement_score":0.005772488,"about_ca_system_score_codex":0.0009664835,"about_ca_system_score_gemma":0.0005366144,"threshold_uncertainty_score":0.019310951},"labels":[],"label_agreement":null},{"id":"W2032277610","doi":"10.1155/2011/135167","title":"A Note on Iwasawa‐Type Decomposition","year":2011,"lang":"en","type":"preprint","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Dawson College; Champlain Regional College; Cegep de Trois-Rivieres; Cegep de Thetford","funders":"","keywords":"Symmetrization; Mathematics; Multiplicative function; Type (biology); Decomposition; Space (punctuation); Pure mathematics; Element (criminal law); Action (physics); Cone (formal languages); Combinatorics; Mathematical analysis; Computer science; Physics; Algorithm","score_opus":0.15833249797568322,"score_gpt":0.44563423452305584,"score_spread":0.2873017365473726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032277610","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":[0.38050747,0.0062728245,0.31687513,0.0028150985,0.0015128755,0.00005026147,0.00020634402,0.00019224576,0.2915677],"genre_scores_gemma":[0.92542607,0.0023486943,0.046056353,0.00047416586,0.0007118507,0.00005899196,0.00013862007,0.00010519382,0.024680035],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99981934,0.000042246196,0.000011473498,0.000029247238,0.000066969566,0.000030820494],"domain_scores_gemma":[0.99984014,0.0000302325,0.000029243272,0.000030026824,0.000028923643,0.000041451203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047489096,0.00046133663,0.00036136847,0.0007616836,0.00062468695,0.0011846573,0.00044216262,0.0005473222,0.0028718878],"category_scores_gemma":[0.0005707309,0.00018881474,0.0004647078,0.00048560344,0.0014138764,0.0015867505,0.0009271071,0.0012866668,0.0005026217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000053287317,0.0000065630966,0.00010601537,0.000016535158,0.0000019333172,0.000080420985,0.00012382261,0.0005041909,0.0015634936,0.9942504,0.00053066766,0.0028106542],"study_design_scores_gemma":[0.0000048834404,0.000031457672,0.000395202,0.000022955215,0.0000036118563,0.00027195478,0.00009884791,0.004827535,0.0010642075,0.9840135,0.009258031,0.000007858907],"about_ca_topic_score_codex":0.00036337922,"about_ca_topic_score_gemma":0.0003239599,"teacher_disagreement_score":0.0028718878,"about_ca_system_score_codex":0.00044090077,"about_ca_system_score_gemma":0.0002637126,"threshold_uncertainty_score":0.009607494},"labels":[],"label_agreement":null},{"id":"W2032325770","doi":"10.1155/ijmms.2005.997","title":"Existence and stability of periodic solutions for a classof generalized nonautonomous neural networks with distributed delays","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Neural Networks Stability and Synchronization","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":"University of Alberta; McGill University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Coincidence; Class (philosophy); Stability (learning theory); Continuation; Lyapunov stability; Applied mathematics; Artificial neural network; Lyapunov function; Degree (music); Pure mathematics; Mathematical analysis; Control theory (sociology); Nonlinear system; Control (management); Computer science","score_opus":0.0363009903882092,"score_gpt":0.274121375122297,"score_spread":0.23782038473408781,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032325770","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":[0.72013617,0.0010183298,0.27492538,0.00029188104,0.000075150216,0.000051816947,0.000044668614,0.000048678165,0.0034078253],"genre_scores_gemma":[0.98784804,0.00038903422,0.010511716,0.000016368691,0.000025453784,0.000054298715,0.000026828771,0.0000038473877,0.0011244926],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99989843,0.000018446863,0.00000680969,0.000028966848,0.000025197165,0.000022173272],"domain_scores_gemma":[0.9996612,0.00013829015,0.00010569133,0.000021646913,0.000048643815,0.000024493915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036758464,0.0005653516,0.00041999965,0.0003983376,0.00041081329,0.0005323871,0.00050152146,0.0006951768,0.0006663536],"category_scores_gemma":[0.0012635413,0.00018441529,0.00042648404,0.00028801765,0.00071164157,0.000707286,0.00051800197,0.00045106874,0.000036312387],"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":[0.00024812462,0.00010181597,0.0073091583,0.00043544924,0.00017954446,0.0019044026,0.0005896656,0.58030266,0.06966105,0.29718208,0.0010604768,0.04102556],"study_design_scores_gemma":[0.0000389334,0.00007246928,0.0011078446,0.00001448841,0.000021689444,0.0002474459,0.0000774405,0.9506107,0.0027482507,0.04444756,0.0005976011,0.000015542848],"about_ca_topic_score_codex":0.0007065463,"about_ca_topic_score_gemma":0.0006482348,"teacher_disagreement_score":0.0007065463,"about_ca_system_score_codex":0.00046560078,"about_ca_system_score_gemma":0.00038456472,"threshold_uncertainty_score":0.0033782125},"labels":[],"label_agreement":null},{"id":"W2033063139","doi":"10.1155/s0161171204304084","title":"Continuum model of the two‐component Becker‐Döring equations","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University","keywords":"Coalescence (physics); Partial differential equation; Mathematics; Ordinary differential equation; Differential equation; Cluster (spacecraft); Collision; Mathematical physics; Mathematical analysis; Physics","score_opus":0.05679013916509568,"score_gpt":0.33426116652079585,"score_spread":0.2774710273557002,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033063139","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27177274,0.005222978,0.5446802,0.0050880983,0.0006782973,0.00021330966,0.0012587232,0.00048806836,0.17059758],"genre_scores_gemma":[0.91523,0.001206881,0.023854533,0.00035907887,0.000235212,0.0002714435,0.00026479922,0.000057178928,0.05852088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996686,0.000080918326,0.000014148434,0.000056106,0.0001209788,0.00005921382],"domain_scores_gemma":[0.99968624,0.00009619389,0.000058100344,0.000030628064,0.00006047821,0.000068398906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004426014,0.00068641605,0.0011661845,0.0007789228,0.00082975684,0.0015581605,0.0020593393,0.0017888738,0.004280675],"category_scores_gemma":[0.0008681377,0.00038681107,0.0007764713,0.0006864939,0.0015415561,0.0017044873,0.001301201,0.0013800649,0.0005689256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004960017,0.000095685005,0.00048021832,0.00006466035,0.000022873737,0.00039318492,0.00017085765,0.19131939,0.0027442921,0.799396,0.0019091875,0.0033540565],"study_design_scores_gemma":[0.000050339244,0.000024077486,0.00027432278,0.000010256742,0.0000068138197,0.000119054,0.000029327473,0.8861142,0.00022052442,0.11083263,0.0022865988,0.000031845513],"about_ca_topic_score_codex":0.005044641,"about_ca_topic_score_gemma":0.0020218706,"teacher_disagreement_score":0.005044641,"about_ca_system_score_codex":0.0012715317,"about_ca_system_score_gemma":0.0011800808,"threshold_uncertainty_score":0.014320314},"labels":[],"label_agreement":null},{"id":"W2034695927","doi":"10.1155/ijmms/2006/51695","title":"On empirical Bayes estimation of multivariate regressioncoefficient","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Statistical Methods and Models","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":"Mathematics; Multivariate statistics; Statistics; Bayesian multivariate linear regression; Bayes' theorem; Estimation; Econometrics; Regression; Regression analysis; Bayesian probability","score_opus":0.11459043481034314,"score_gpt":0.4824202903446016,"score_spread":0.36782985553425845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2034695927","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":[0.0060573355,0.00097578624,0.991939,0.00037037864,0.000040959996,0.000028046561,0.000035081546,0.00009599642,0.00045742397],"genre_scores_gemma":[0.37176067,0.0068013337,0.6119996,0.0008130141,0.0010211583,0.0006124671,0.0007386852,0.00044305957,0.005810081],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9900271,0.0069947303,0.00033626083,0.0010394226,0.0012634875,0.0003388794],"domain_scores_gemma":[0.9395991,0.052064896,0.002920546,0.0020707562,0.0029551897,0.00038956196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.026280664,0.0022495955,0.00343333,0.0023598985,0.00076012313,0.002452713,0.0025343313,0.0027550024,0.0022758998],"category_scores_gemma":[0.102780566,0.0017090794,0.0013431982,0.0024012967,0.0034947896,0.0044900808,0.0032190613,0.0035309587,0.0007419555],"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":[0.00015350954,0.000090842695,0.003805646,0.00042019816,0.00028335693,0.00020303224,0.00024947635,0.72435653,0.0011787155,0.19814655,0.0025595063,0.06855269],"study_design_scores_gemma":[0.000021725848,0.000023378581,0.0003528258,0.000055608834,0.000019301415,0.000045220357,0.000014957297,0.93588305,0.00032405998,0.06260035,0.0006385177,0.00002103042],"about_ca_topic_score_codex":0.0077364864,"about_ca_topic_score_gemma":0.0036635622,"teacher_disagreement_score":0.026280664,"about_ca_system_score_codex":0.0017640953,"about_ca_system_score_gemma":0.0026918538,"threshold_uncertainty_score":0.13898706},"labels":[],"label_agreement":null},{"id":"W2037255561","doi":"10.1155/s0161171201005713","title":"Generalized periodic and generalized Boolean rings","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Boolean ring; Commutative property; Ring (chemistry); Commutative ring; Pure mathematics; Discrete mathematics; Quotient ring","score_opus":0.051513272930480226,"score_gpt":0.3273557583424432,"score_spread":0.27584248541196293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037255561","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":[0.71474046,0.0026763836,0.17635383,0.0008660841,0.00033665294,0.00012008041,0.00028643114,0.00026665864,0.10435348],"genre_scores_gemma":[0.9732713,0.0006852786,0.018953178,0.00018225721,0.00017788875,0.00005864504,0.00011623384,0.000020990132,0.0065341713],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994861,0.00009618757,0.0000352661,0.000100796395,0.0001706038,0.00011104154],"domain_scores_gemma":[0.9992298,0.00018298267,0.00021792465,0.000111862304,0.00013467138,0.00012282953],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007170192,0.00030731971,0.0003701277,0.00072310714,0.0006683815,0.0012184967,0.00041228844,0.00027398067,0.0041076485],"category_scores_gemma":[0.0015476774,0.0001538429,0.00041280655,0.00050771446,0.0015783033,0.0022740664,0.0014217095,0.0005226162,0.00033898526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007143315,0.000015372947,0.00060013885,0.000108466345,0.000019894298,0.00042220752,0.00025543506,0.0013349296,0.0059110452,0.9799606,0.00078791537,0.010512529],"study_design_scores_gemma":[0.000049774302,0.00012696089,0.0018267696,0.000056137545,0.000064885615,0.0012209559,0.0003635528,0.011567206,0.0077826153,0.95644677,0.020461986,0.00003228175],"about_ca_topic_score_codex":0.00036613044,"about_ca_topic_score_gemma":0.00049483665,"teacher_disagreement_score":0.0041076485,"about_ca_system_score_codex":0.0003968919,"about_ca_system_score_gemma":0.00036530662,"threshold_uncertainty_score":0.013741493},"labels":[],"label_agreement":null},{"id":"W2038999542","doi":"10.1155/2009/630857","title":"Asymptotic Behavior of Tail Density for Sum of Correlated Lognormal Variables","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Probability and Risk Models","field":"Decision Sciences","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":"York University","funders":"","keywords":"Mathematics; Random variable; Log-normal distribution; Probability density function; Simple (philosophy); Statistic; Statistical physics; Statistics; Combinatorics; Applied mathematics","score_opus":0.09815376798095253,"score_gpt":0.38695454096360893,"score_spread":0.2888007729826564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038999542","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10309465,0.0013143801,0.8890087,0.0006031173,0.00007258367,0.00005803765,0.000116876465,0.0004689759,0.0052626845],"genre_scores_gemma":[0.9268159,0.0019649873,0.06496626,0.000284464,0.00023523302,0.00025206053,0.00038413025,0.0002388702,0.0048581846],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876595,0.00047727764,0.000052675645,0.00018579955,0.00033623152,0.00018215114],"domain_scores_gemma":[0.981931,0.012569655,0.0015462509,0.0011899739,0.0020581938,0.0007049192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005657448,0.0011680813,0.0013781171,0.001866665,0.00055704615,0.001744242,0.0021654724,0.0013088469,0.003107107],"category_scores_gemma":[0.036610212,0.0004886704,0.0009645927,0.0012535099,0.0028148459,0.004193256,0.0019741387,0.0024802373,0.0006267474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002510907,0.00010215153,0.010209617,0.0003930338,0.00015672148,0.0011189895,0.00062080147,0.25154352,0.008269183,0.70436764,0.0025564167,0.020410752],"study_design_scores_gemma":[0.000013238553,0.000043203938,0.0017412533,0.00006480529,0.00004057578,0.00035709154,0.00010962902,0.8604291,0.0013209088,0.13524087,0.000594771,0.00004451272],"about_ca_topic_score_codex":0.0020409827,"about_ca_topic_score_gemma":0.0008471495,"teacher_disagreement_score":0.005657448,"about_ca_system_score_codex":0.001228143,"about_ca_system_score_gemma":0.00080837624,"threshold_uncertainty_score":0.029919803},"labels":[],"label_agreement":null},{"id":"W2039314707","doi":"10.1155/2008/362068","title":"Green′s‐Like Relations on Algebras and Varieties","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Algebra and Logic","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 Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science; Mathematics; Machine learning","score_opus":0.03365938198875921,"score_gpt":0.2797046915566829,"score_spread":0.24604530956792373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039314707","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":[0.50785893,0.0037020494,0.35136035,0.002013906,0.00040691407,0.0001254314,0.00040814554,0.0006131304,0.13351116],"genre_scores_gemma":[0.92059326,0.0008080875,0.06939105,0.00042231655,0.00023178253,0.00008153809,0.00018516042,0.00006326528,0.008223499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988323,0.00030193228,0.00009447053,0.00025846873,0.00032661736,0.00018626788],"domain_scores_gemma":[0.9974286,0.0010264423,0.00036713344,0.0003924893,0.0004280354,0.00035724888],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016363163,0.00029706553,0.00038061987,0.0016984879,0.0016216448,0.0023109105,0.0006165213,0.0009190237,0.0029753721],"category_scores_gemma":[0.00364232,0.00033426392,0.000947081,0.0016181523,0.005192284,0.0067749307,0.0020058851,0.0015761526,0.0003532099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009814727,0.00000363714,0.00027078803,0.000010850132,0.0000021759176,0.000038810485,0.00039384197,0.00019808633,0.0007950248,0.9948513,0.00021245338,0.003213211],"study_design_scores_gemma":[0.000008766414,0.000031948475,0.0010369556,0.000023634084,0.000008130511,0.00019356351,0.0003245814,0.0018691716,0.002149497,0.97903425,0.0153009845,0.000018424422],"about_ca_topic_score_codex":0.002059008,"about_ca_topic_score_gemma":0.0016303608,"teacher_disagreement_score":0.0029753721,"about_ca_system_score_codex":0.0015128497,"about_ca_system_score_gemma":0.0006838565,"threshold_uncertainty_score":0.010976613},"labels":[],"label_agreement":null},{"id":"W2039485361","doi":"10.1155/s0161171201005361","title":"A new combinatorial identity","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Theories","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":"Bell (Canada)","funders":"","keywords":"Mathematics; Fermat's Last Theorem; Identity (music); Connection (principal bundle); Combinatorics; Combinatorial proof; Relation (database); Discrete mathematics; Geometry; Physics","score_opus":0.056426379608200926,"score_gpt":0.3926622636409799,"score_spread":0.336235884032779,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039485361","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07310511,0.0012602131,0.476368,0.0050682756,0.0035603074,0.00014671597,0.00039543674,0.0008289813,0.43926695],"genre_scores_gemma":[0.74627846,0.0014002151,0.16186917,0.004640868,0.0031212748,0.000390681,0.00074332213,0.0007879095,0.08076815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978935,0.00037121275,0.00014721783,0.0005870496,0.0007346298,0.00026624804],"domain_scores_gemma":[0.9975975,0.00068013783,0.00022495507,0.0005017663,0.00063263014,0.00036295367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016097985,0.00074558944,0.0009009783,0.0024544368,0.0035463688,0.0049115755,0.0019170373,0.001956366,0.013189236],"category_scores_gemma":[0.0049310573,0.00062522484,0.0014486368,0.001617472,0.006543092,0.010339193,0.006362015,0.004124599,0.0031895253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004618562,0.000010025401,0.000079585414,0.00002161175,0.000002305974,0.00008439454,0.00007797704,0.0000803098,0.00030259765,0.99607664,0.0011287424,0.0021312058],"study_design_scores_gemma":[0.000008913202,0.000018506718,0.00013722858,0.000025334457,0.000010694097,0.00044954778,0.00006558805,0.0016443979,0.0008623702,0.98004717,0.016713506,0.000016765747],"about_ca_topic_score_codex":0.0003647785,"about_ca_topic_score_gemma":0.00033882292,"teacher_disagreement_score":0.013189236,"about_ca_system_score_codex":0.0013059115,"about_ca_system_score_gemma":0.0008518777,"threshold_uncertainty_score":0.04412234},"labels":[],"label_agreement":null},{"id":"W2039598032","doi":"10.1155/2009/253750","title":"Convergence Rates for Probabilities of Moderate Deviations for Multidimensionally Indexed Random Variables","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Probability and Risk Models","field":"Decision Sciences","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.12706391530904926,"score_gpt":0.4249951058182491,"score_spread":0.29793119050919986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039598032","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.061647937,0.0035678374,0.9125506,0.0020978735,0.000284204,0.0003185345,0.00038891303,0.00044311734,0.018701041],"genre_scores_gemma":[0.7289444,0.008829826,0.23474851,0.0017725446,0.0012131439,0.0029431097,0.0009323041,0.0009030744,0.01971304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99103,0.0035575095,0.0006478345,0.0015100271,0.002272476,0.0009821925],"domain_scores_gemma":[0.84364164,0.12131255,0.008860951,0.008771564,0.012542381,0.004870972],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.03590883,0.0022545292,0.002546196,0.0057746316,0.0019294316,0.0047801128,0.004851829,0.003021337,0.008204857],"category_scores_gemma":[0.1559273,0.0012526984,0.0038744502,0.0026542067,0.008743879,0.0117801465,0.0074218926,0.009978642,0.0017862465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010536353,0.00003723761,0.0015194595,0.00017024128,0.000060610753,0.00016159276,0.00046015586,0.015970558,0.0015043763,0.9714481,0.0011785615,0.0073837712],"study_design_scores_gemma":[0.00005188392,0.000104618564,0.0018041559,0.00026366892,0.00006377104,0.00039691408,0.00021271067,0.2180991,0.0022482115,0.7741492,0.0024494352,0.00015630055],"about_ca_topic_score_codex":0.0015366714,"about_ca_topic_score_gemma":0.0009512483,"teacher_disagreement_score":0.03590883,"about_ca_system_score_codex":0.0039023666,"about_ca_system_score_gemma":0.0021093516,"threshold_uncertainty_score":0.18990636},"labels":[],"label_agreement":null},{"id":"W2040690592","doi":"10.1155/2007/60916","title":"A Finite-Interval Uniqueness Theorem for Bilateral Laplace Transforms","year":2007,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Financial Risk and Volatility Modeling","field":"Economics, Econometrics and Finance","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":"St. Francis Xavier University","funders":"St. Francis Xavier University","keywords":"Mathematics; Laplace transform; Two-sided Laplace transform; Interval (graph theory); Laplace transform applied to differential equations; Mathematical analysis; Uniqueness; Laplace–Stieltjes transform; Context (archaeology); Moment (physics); Function (biology); Mellin transform; Integrable system; Green's function for the three-variable Laplace equation; Pure mathematics; Inverse Laplace transform; Fourier transform; Combinatorics; Fourier analysis","score_opus":0.05563006523960967,"score_gpt":0.3056557916430287,"score_spread":0.250025726403419,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040690592","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.032733854,0.00033401235,0.950009,0.00043522893,0.00014022969,0.000029450617,0.00006405909,0.00011440545,0.016139641],"genre_scores_gemma":[0.80505323,0.0006730253,0.18128589,0.00058925204,0.00047316498,0.00019720293,0.00017442011,0.00020381938,0.011350086],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982413,0.00038876053,0.00008582019,0.00043548355,0.0006247849,0.00022385773],"domain_scores_gemma":[0.9938595,0.003634078,0.0005532847,0.00041169935,0.0011494969,0.00039194626],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028634872,0.00058535824,0.00079132715,0.0014958761,0.0010331764,0.0025896365,0.0012342698,0.0013558271,0.005744225],"category_scores_gemma":[0.01583005,0.0003986626,0.0016177694,0.00085473806,0.0040970333,0.0050897878,0.0032731227,0.0029914903,0.001041979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029280232,0.000014826093,0.00050189643,0.000040319068,0.00001864174,0.00021544218,0.00022365086,0.0026266037,0.0031980262,0.9785887,0.000472347,0.014070364],"study_design_scores_gemma":[0.000028673092,0.00004853283,0.0005080428,0.00004002235,0.000022135899,0.0008772916,0.00014695575,0.0521995,0.0036768457,0.9375975,0.0048146104,0.000039961327],"about_ca_topic_score_codex":0.0004216774,"about_ca_topic_score_gemma":0.00022166544,"teacher_disagreement_score":0.005744225,"about_ca_system_score_codex":0.0006063811,"about_ca_system_score_gemma":0.0007602144,"threshold_uncertainty_score":0.019216299},"labels":[],"label_agreement":null},{"id":"W2042568997","doi":"10.1155/2008/609425","title":"One‐Dimensional Hurwitz Spaces, Modular Curves, and Real Forms of Belyi Meromorphic Functions","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Engineering Link (Canada)","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.05910225865037905,"score_gpt":0.303982003660173,"score_spread":0.24487974500979393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042568997","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":[0.9649065,0.0003532747,0.018054593,0.0002476734,0.000028589351,0.000019619663,0.000038591486,0.000031291285,0.016319733],"genre_scores_gemma":[0.9941566,0.00015847321,0.002022802,0.000016888629,0.000036509824,0.000012469413,0.000044678283,0.000006879175,0.0035447215],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996562,0.000084858635,0.000016215088,0.000051813517,0.00010571469,0.00008527554],"domain_scores_gemma":[0.99950624,0.00010950262,0.00013413547,0.00004633644,0.000063165455,0.00014063969],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043824626,0.00059917883,0.00033466858,0.0018593522,0.00092045957,0.0017382221,0.00044604554,0.00036889195,0.0027959982],"category_scores_gemma":[0.0013476728,0.00022046674,0.00039347206,0.00061662414,0.0028461423,0.0026207578,0.0015869176,0.0008638341,0.00027841187],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000045572266,0.000020724734,0.0009042773,0.000026291174,0.000008411182,0.00014723989,0.00061570224,0.0022004074,0.0023123077,0.9875892,0.00016771985,0.0059620817],"study_design_scores_gemma":[0.000037589383,0.00013663848,0.002645662,0.00002391652,0.000009790275,0.00053365785,0.0007635738,0.016011365,0.0034221758,0.9730347,0.0033507417,0.000030159044],"about_ca_topic_score_codex":0.0005406778,"about_ca_topic_score_gemma":0.00030155788,"teacher_disagreement_score":0.0027959982,"about_ca_system_score_codex":0.0007718215,"about_ca_system_score_gemma":0.0003733629,"threshold_uncertainty_score":0.0093535185},"labels":[],"label_agreement":null},{"id":"W2044671577","doi":"10.1155/ijmms.2005.2329","title":"Some interesting series arising from the power seriesexpansion of (sin-1x) q","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Identities","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":"University of Waterloo","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.0550051196954912,"score_gpt":0.35432449458956067,"score_spread":0.29931937489406946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044671577","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":[0.41254264,0.0038382707,0.2853962,0.0030604952,0.0017146075,0.00015521597,0.0003964904,0.000980046,0.29191598],"genre_scores_gemma":[0.87200373,0.0021445814,0.05028415,0.00066895824,0.0015290951,0.00016351705,0.00037055856,0.0006161683,0.07221915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964845,0.00007372702,0.000019582609,0.00003858555,0.0001593181,0.00006033053],"domain_scores_gemma":[0.9989743,0.00056333706,0.00014681966,0.000077587385,0.00013689326,0.00010096668],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00085075584,0.0012536502,0.0005685255,0.0021936127,0.001469783,0.00230812,0.001151699,0.0011325711,0.011173131],"category_scores_gemma":[0.0050345203,0.00034951273,0.0009724578,0.001575632,0.0024120994,0.0033066361,0.0010081043,0.0026576663,0.0016596019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007273184,0.000046931087,0.00046370545,0.0001534409,0.00001606268,0.0021723087,0.0008036934,0.002640312,0.0055893967,0.9722096,0.0025277277,0.013304042],"study_design_scores_gemma":[0.000036467773,0.000045507793,0.000982765,0.00011652005,0.000025851437,0.0023644138,0.0002560081,0.028159792,0.0045664413,0.9521763,0.0112147285,0.000055225886],"about_ca_topic_score_codex":0.00033663234,"about_ca_topic_score_gemma":0.0006277906,"teacher_disagreement_score":0.011173131,"about_ca_system_score_codex":0.00090366206,"about_ca_system_score_gemma":0.00040445893,"threshold_uncertainty_score":0.037377834},"labels":[],"label_agreement":null},{"id":"W2046709619","doi":"10.1155/s0161171200004233","title":"The product of <i>r</i><sup>−<i>k</i></sup> and ∇<i>δ</i> on <i>ℝ</i><sup><i>m</i></sup>","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","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":"Cape Breton University","funders":"","keywords":"Mathematics; Product (mathematics); Combinatorics; Geometry","score_opus":0.011253729734959932,"score_gpt":0.2638398858308383,"score_spread":0.25258615609587837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046709619","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":[0.093847916,0.0019509475,0.8411333,0.0006430929,0.0008172232,0.00004798829,0.00019464771,0.00029114992,0.06107371],"genre_scores_gemma":[0.6921885,0.0025458229,0.24998575,0.00051120244,0.00065137824,0.0001795888,0.0003701971,0.00051570195,0.053051878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995333,0.00006500514,0.00004250386,0.00013981208,0.00017745192,0.000041983563],"domain_scores_gemma":[0.9991912,0.00020440258,0.0001814883,0.000106105486,0.00024295015,0.000073765084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078988296,0.00051973225,0.0003030254,0.00085706764,0.00059525814,0.0013224813,0.00092869543,0.00047947062,0.0064898496],"category_scores_gemma":[0.0019236708,0.00023404162,0.0004610377,0.00071094773,0.0019831492,0.0035505702,0.001037989,0.0009339227,0.0018902717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051230487,0.000016687012,0.0004908359,0.00017003813,0.000016848215,0.00037303136,0.00034452154,0.00138963,0.012454739,0.9524061,0.0014079346,0.030878399],"study_design_scores_gemma":[0.000009217091,0.00022588143,0.0027511378,0.00006160168,0.000033552253,0.0035961869,0.00032431388,0.022304231,0.028642152,0.8930536,0.048910193,0.00008781571],"about_ca_topic_score_codex":0.0002987854,"about_ca_topic_score_gemma":0.00028273917,"teacher_disagreement_score":0.0064898496,"about_ca_system_score_codex":0.000329807,"about_ca_system_score_gemma":0.00046711534,"threshold_uncertainty_score":0.021710694},"labels":[],"label_agreement":null},{"id":"W2047647860","doi":"10.1155/ijmms/2006/17641","title":"Explicit decomposition of a rational prime in a cubic field","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Differential Equations and Dynamical Systems","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 British Columbia, Okanagan Campus; University of British Columbia; Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Prime (order theory); Decomposition; Field (mathematics); Cubic form; Pure mathematics; Arithmetic; Discrete mathematics; Combinatorics; Chemistry","score_opus":0.02866110772794359,"score_gpt":0.3618213347576977,"score_spread":0.33316022702975406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047647860","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":[0.43282932,0.0012910912,0.31698564,0.0028795137,0.0012250157,0.0002705882,0.00086453976,0.0012179599,0.24243627],"genre_scores_gemma":[0.90478945,0.00065585546,0.055268984,0.0003477835,0.00038744547,0.000060619906,0.0003999537,0.000283201,0.037806723],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996532,0.00003845341,0.000013838015,0.000048673126,0.00013072508,0.00011512785],"domain_scores_gemma":[0.99970216,0.00004666881,0.000041359763,0.000034480014,0.00009147667,0.00008383828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005700877,0.00070002966,0.00059433805,0.0018249204,0.0014028744,0.0017111176,0.00056873984,0.0005850206,0.009085196],"category_scores_gemma":[0.0007690104,0.00031083298,0.00054515555,0.0010269564,0.0024690842,0.0025269925,0.0013543352,0.002319868,0.0018641842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000079273465,0.00003541182,0.00026338518,0.00011964708,0.000005299313,0.00044249144,0.0005335855,0.00090978655,0.0055809924,0.9754013,0.0031120635,0.013516808],"study_design_scores_gemma":[0.000057589048,0.00008395875,0.00048736186,0.000045539746,0.000015796459,0.00082843687,0.00031294787,0.007922271,0.0051415744,0.95618194,0.028876875,0.000045568682],"about_ca_topic_score_codex":0.0012781073,"about_ca_topic_score_gemma":0.0012121542,"teacher_disagreement_score":0.009085196,"about_ca_system_score_codex":0.001010958,"about_ca_system_score_gemma":0.00079015654,"threshold_uncertainty_score":0.030393064},"labels":[],"label_agreement":null},{"id":"W2048835529","doi":"10.1155/2013/170749","title":"Generalized Derivations on Prime Near Rings","year":2013,"lang":"lv","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Topics in Algebra","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":"Brock University","funders":"University Grants Commission; Council of Scientific and Industrial Research, India","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.05013363533801161,"score_gpt":0.3462611340519963,"score_spread":0.2961274987139847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048835529","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":[0.4547435,0.003415134,0.35995248,0.0023794675,0.001022097,0.00018738884,0.0010301684,0.0011981538,0.17607154],"genre_scores_gemma":[0.8750585,0.0017627112,0.07095714,0.0007238773,0.0005892727,0.00011107578,0.00056251156,0.00019183646,0.050043117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823064,0.0006419762,0.00013428202,0.00046945075,0.0003379312,0.00018577419],"domain_scores_gemma":[0.9987821,0.00025712966,0.0001604828,0.00032063443,0.0003136628,0.00016599876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012869278,0.0004430622,0.00047886086,0.0010811089,0.0010718527,0.0014637999,0.00040800637,0.00046430685,0.0052890675],"category_scores_gemma":[0.002168573,0.0003251431,0.0006987409,0.00084594276,0.0018116538,0.0033600593,0.0023691435,0.0010908273,0.0019367186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000606713,0.000015345786,0.00036418095,0.00007352284,0.000015321744,0.00025648484,0.0005681581,0.0015265608,0.0031357587,0.96909225,0.0019995219,0.022892231],"study_design_scores_gemma":[0.000016061997,0.000064409825,0.0005552096,0.000035421606,0.000016230233,0.0004969951,0.00022473243,0.0036659422,0.002942085,0.95612365,0.035832312,0.000027003598],"about_ca_topic_score_codex":0.000412507,"about_ca_topic_score_gemma":0.000507438,"teacher_disagreement_score":0.0052890675,"about_ca_system_score_codex":0.0008415736,"about_ca_system_score_gemma":0.00065100665,"threshold_uncertainty_score":0.017693698},"labels":[],"label_agreement":null},{"id":"W2054262111","doi":"10.1155/2011/132541","title":"Isometric and Closed‐Range Composition Operators between Bloch‐Type Spaces","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Holomorphic and Operator Theory","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":"Mathematics; Isometric exercise; Composition (language); Bloch space; Holomorphic function; Type (biology); Pure mathematics; Operator theory; Characterization (materials science); Composition operator; Range (aeronautics); Mathematical analysis; Multiplication operator; Compact space; Hilbert space; Physics","score_opus":0.10348404371002926,"score_gpt":0.3410693133644331,"score_spread":0.23758526965440382,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054262111","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.210782,0.0040905457,0.6659518,0.00095355517,0.00075507234,0.0001293484,0.00024982324,0.00029390014,0.11679394],"genre_scores_gemma":[0.8040888,0.0036895438,0.15710393,0.0005795581,0.0009809486,0.00020490184,0.00037101618,0.0002366555,0.032744583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99871194,0.0002553926,0.00007478878,0.00025141853,0.00057265797,0.0001337939],"domain_scores_gemma":[0.9989718,0.0003418463,0.00015461931,0.0001651765,0.0002154088,0.0001512219],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011233798,0.00053716195,0.00041649883,0.0015349633,0.0010039705,0.0017196366,0.0008141009,0.0007762556,0.0047488264],"category_scores_gemma":[0.0026351607,0.00032283852,0.0007868242,0.00089831074,0.0028738845,0.0050248676,0.0023651528,0.002239786,0.0005946185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012555014,0.000014805037,0.00013629865,0.000051727708,0.000006877933,0.00007857015,0.00018190728,0.0003299461,0.0025231477,0.9873223,0.0003929107,0.008948997],"study_design_scores_gemma":[0.0000093816825,0.000043268283,0.0008408997,0.000031204323,0.000013752894,0.00072795944,0.0002123987,0.0059436057,0.0047998084,0.97695833,0.01038731,0.0000319331],"about_ca_topic_score_codex":0.00026383583,"about_ca_topic_score_gemma":0.00021365947,"teacher_disagreement_score":0.0047488264,"about_ca_system_score_codex":0.000466169,"about_ca_system_score_gemma":0.00038697172,"threshold_uncertainty_score":0.015886366},"labels":[],"label_agreement":null},{"id":"W2056369358","doi":"10.1155/2014/131067","title":"New Expansion Formulas for a Family of the<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math>-Generalized Hurwitz-Lerch Zeta Functions","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Identities","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 du Québec à Chicoutimi; University of Victoria","funders":"","keywords":"Mathematics; Taylor series; Calculus (dental); Applied mathematics; Algebra over a field; Pure mathematics; Mathematical analysis; Medicine","score_opus":0.04176930575891992,"score_gpt":0.3012109875159329,"score_spread":0.259441681757013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056369358","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10873077,0.0043827444,0.8018828,0.0016286031,0.001185303,0.00013045043,0.00031011106,0.0003347338,0.081414536],"genre_scores_gemma":[0.66642994,0.0064415797,0.2604246,0.0013440143,0.0015622943,0.00032417444,0.00042652906,0.00067353516,0.06237335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996885,0.00006543411,0.000024527682,0.00004846719,0.00013220448,0.00004089205],"domain_scores_gemma":[0.9992893,0.0002783448,0.00009496342,0.000056762547,0.00021095296,0.00006966761],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009001443,0.000795962,0.00060620805,0.0021203877,0.0006817666,0.0011508332,0.0010690774,0.0008048663,0.005002],"category_scores_gemma":[0.0033890423,0.00029729816,0.0009591668,0.0011388948,0.0013008268,0.0032714223,0.000988782,0.0022223482,0.001371007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018390248,0.000023609944,0.00043906993,0.00012678602,0.000013851365,0.00048565728,0.00038435764,0.0027971002,0.004375655,0.9599152,0.0034423976,0.027977882],"study_design_scores_gemma":[0.000017124114,0.000028602493,0.0007389957,0.000111044676,0.000034970857,0.0013244208,0.00022231981,0.081371054,0.003881431,0.89387465,0.018328851,0.00006651567],"about_ca_topic_score_codex":0.00062898657,"about_ca_topic_score_gemma":0.0011900455,"teacher_disagreement_score":0.005002,"about_ca_system_score_codex":0.0008195751,"about_ca_system_score_gemma":0.0005348182,"threshold_uncertainty_score":0.016733348},"labels":[],"label_agreement":null},{"id":"W2057769213","doi":"10.1155/s0161171203110046","title":"An improved Bayes empirical Bayes estimator","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Statistical Distribution Estimation and 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":"University of Alberta","funders":"","keywords":"Bayes estimator; Bayes' theorem; Mathematics; Estimator; Bayes' rule; Prior probability; Statistics; Conjugate prior; Bayes factor; Invariant estimator; Exponential family; Bayes error rate; Minimax estimator; Bayesian probability; Minimum-variance unbiased estimator; Applied mathematics; Bayes classifier","score_opus":0.0903112101700181,"score_gpt":0.44326285559697864,"score_spread":0.35295164542696056,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057769213","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":[0.0035203611,0.00072849,0.99325776,0.00029034537,0.0000977164,0.000099615,0.00010563052,0.00033061224,0.0015694716],"genre_scores_gemma":[0.07703423,0.00077511603,0.9172874,0.00057308754,0.0004473544,0.00041627808,0.0003708585,0.00015408386,0.0029415304],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.98690856,0.0070089316,0.0006497179,0.001931371,0.0031745532,0.00032689693],"domain_scores_gemma":[0.9625713,0.028320499,0.0015112028,0.0032297322,0.0040592174,0.00030803625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01764334,0.0013485556,0.0031887856,0.0029351988,0.0006631896,0.0023308175,0.0028870224,0.002897154,0.0048874365],"category_scores_gemma":[0.072790116,0.0010820919,0.0014065673,0.002008575,0.0014959944,0.004044482,0.0019900259,0.003047503,0.0016625529],"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":[0.00039221128,0.00025608446,0.00953564,0.0007169515,0.00065232324,0.00026435865,0.00044303414,0.13514094,0.005060656,0.22348571,0.0135658635,0.6104862],"study_design_scores_gemma":[0.00015354811,0.00010560567,0.0026246198,0.0001627636,0.00019107603,0.00035922794,0.000043314158,0.81805307,0.0020594061,0.16323826,0.012925284,0.000083821156],"about_ca_topic_score_codex":0.00318211,"about_ca_topic_score_gemma":0.0030579823,"teacher_disagreement_score":0.01764334,"about_ca_system_score_codex":0.001325232,"about_ca_system_score_gemma":0.0023222994,"threshold_uncertainty_score":0.09330803},"labels":[],"label_agreement":null},{"id":"W2059325506","doi":"10.1155/s0161171201006470","title":"The sequential approach to the product of distribution","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical and Theoretical Analysis","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","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.048608282943406425,"score_gpt":0.33276610781503374,"score_spread":0.28415782487162733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059325506","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0058880774,0.0010514793,0.97553635,0.00033647814,0.0001699053,0.000023895213,0.00007398062,0.000101768186,0.016817974],"genre_scores_gemma":[0.36796924,0.0034697892,0.58493596,0.0006433917,0.0011024526,0.00023899158,0.00030024908,0.00047757992,0.04086223],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99722594,0.0009360634,0.00016203607,0.00070991885,0.0008044154,0.00016157654],"domain_scores_gemma":[0.9967632,0.0012967298,0.00031634164,0.00054694625,0.0008792331,0.00019756076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003138732,0.0011068006,0.0008645316,0.0024181688,0.000889907,0.003185506,0.0018110506,0.00084241235,0.009182607],"category_scores_gemma":[0.0072289025,0.0005884307,0.0014276283,0.002421955,0.004306737,0.0067821355,0.0025884975,0.0028129967,0.0018348406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013508013,0.000009164208,0.00023310402,0.000045655892,0.000016663855,0.000064062224,0.00015943985,0.00345107,0.00043655557,0.9804781,0.00071571727,0.014376991],"study_design_scores_gemma":[0.000007037328,0.000055660377,0.00025827042,0.000029915676,0.000015114216,0.0002607522,0.00005548813,0.056228973,0.0008804508,0.9228346,0.019352192,0.000021578795],"about_ca_topic_score_codex":0.0019989803,"about_ca_topic_score_gemma":0.0015823036,"teacher_disagreement_score":0.009182607,"about_ca_system_score_codex":0.0021633448,"about_ca_system_score_gemma":0.0011247863,"threshold_uncertainty_score":0.030718863},"labels":[],"label_agreement":null},{"id":"W2063166254","doi":"10.1155/s0161171202013078","title":"Powers of commutators as products of squares","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Rings, Modules, and Algebras","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":"School of Mathematics, Institute for Research in Fundamental Sciences; University of Alberta","keywords":"Algorithm; Computer science","score_opus":0.055138326760681804,"score_gpt":0.32498586033618954,"score_spread":0.2698475335755077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063166254","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":[0.44519174,0.0022028498,0.22425134,0.0013934674,0.0012267397,0.00024098539,0.0004274445,0.0009515925,0.3241139],"genre_scores_gemma":[0.9178809,0.00090322294,0.03103141,0.0003720593,0.00090442155,0.00017799131,0.00020172482,0.00031324752,0.048215028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984725,0.00036285757,0.00013158887,0.00035823567,0.00039811953,0.00027654864],"domain_scores_gemma":[0.9976841,0.0010522956,0.00025166737,0.00039914055,0.00033028846,0.0002825053],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015743949,0.0007738412,0.0007747259,0.0011596555,0.0017263063,0.0029639641,0.00066488853,0.0007297672,0.014610217],"category_scores_gemma":[0.0034047975,0.0007688401,0.00094804436,0.0006546196,0.0043628295,0.007017309,0.0028214091,0.0016159789,0.0029130562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006117615,0.00002374756,0.00027407185,0.000046896123,0.000011737445,0.00036677963,0.0007111202,0.00027860538,0.0026909758,0.9874326,0.0013080675,0.0067942105],"study_design_scores_gemma":[0.000039696177,0.00005461109,0.0002465463,0.00002100816,0.000015310648,0.00047124198,0.00015390645,0.0012836019,0.0020908732,0.9823429,0.013262222,0.000018149083],"about_ca_topic_score_codex":0.0002697655,"about_ca_topic_score_gemma":0.00045775424,"teacher_disagreement_score":0.014610217,"about_ca_system_score_codex":0.0004950959,"about_ca_system_score_gemma":0.0003371128,"threshold_uncertainty_score":0.048876107},"labels":[],"label_agreement":null},{"id":"W2066940735","doi":"10.1155/s016117120211009x","title":"An empirical Bayes derivation of best linear unbiased predictors","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Fuzzy Systems and Optimization","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":"","keywords":"Mathematics; Bayes' theorem; Statistics; Best linear unbiased prediction; Bayesian probability; Artificial intelligence; Computer science","score_opus":0.09549444366599717,"score_gpt":0.3717589611395161,"score_spread":0.27626451747351893,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066940735","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":[0.002141498,0.0010063775,0.99388593,0.000497187,0.00007415667,0.000040747036,0.00010821027,0.00012318665,0.0021226972],"genre_scores_gemma":[0.16747113,0.0050882297,0.81437045,0.001304798,0.00076695456,0.0007836422,0.00094663096,0.00029898214,0.008969093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956306,0.0025155433,0.00018389309,0.00046915596,0.0010134899,0.00018736508],"domain_scores_gemma":[0.980859,0.015464622,0.0006664765,0.0007869326,0.0020616385,0.00016126827],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010959339,0.0013684514,0.0022524034,0.0019807864,0.00087449513,0.0019448013,0.0021571591,0.0019950725,0.005683721],"category_scores_gemma":[0.048533246,0.001422716,0.0012184579,0.002368409,0.0015939114,0.00284841,0.0018004024,0.0032402049,0.0022334377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072525596,0.00006774288,0.0023064914,0.00035966636,0.00028470802,0.0003662544,0.00031112164,0.3269736,0.0010963338,0.5177431,0.009095217,0.14132325],"study_design_scores_gemma":[0.000031090713,0.000038073922,0.00043705353,0.0002342348,0.000068299414,0.00017531986,0.000040763145,0.7142022,0.0008442495,0.27702793,0.0068626236,0.000038157454],"about_ca_topic_score_codex":0.0041742283,"about_ca_topic_score_gemma":0.0048091044,"teacher_disagreement_score":0.010959339,"about_ca_system_score_codex":0.0012865474,"about_ca_system_score_gemma":0.0028680137,"threshold_uncertainty_score":0.05795926},"labels":[],"label_agreement":null},{"id":"W2072898412","doi":"10.1155/s0161171204301183","title":"On mixed‐type reverse‐order laws for the Moore‐Penrose inverse of a matrix product","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":31,"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":"McGill University","keywords":"Mathematics; Type (biology); Order (exchange); Inverse; Moore–Penrose pseudoinverse; Matrix (chemical analysis); Product (mathematics); Generalized inverse; Law; Pure mathematics; Geometry; Political science","score_opus":0.027938572152255762,"score_gpt":0.31571577115400057,"score_spread":0.2877771990017448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072898412","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021948377,0.0010433095,0.9475362,0.000563619,0.00030134406,0.00008079669,0.00023903977,0.00019442843,0.028092952],"genre_scores_gemma":[0.57207537,0.0051217983,0.37951747,0.001803591,0.0011695599,0.0007233116,0.0011575519,0.0006044964,0.037826832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99711597,0.0007702017,0.0002599705,0.0005271851,0.0010526946,0.00027403],"domain_scores_gemma":[0.98303187,0.008440706,0.0020322623,0.0017047654,0.004208007,0.0005823242],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0042318827,0.0014036996,0.0010725188,0.0027105785,0.0012320153,0.004001388,0.0013258827,0.0016527615,0.008974557],"category_scores_gemma":[0.020350285,0.00096455903,0.0018662544,0.0019606685,0.005035437,0.0073361113,0.0021656859,0.0055010193,0.0033727654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042233834,0.000049082788,0.0005268439,0.00012678593,0.000022188318,0.00029582478,0.00036562144,0.0064729378,0.003160384,0.972073,0.002733005,0.014132062],"study_design_scores_gemma":[0.000018963297,0.00014603694,0.00049887004,0.00007792448,0.000023810178,0.000896798,0.00020958383,0.07943093,0.0038792007,0.9066561,0.008066088,0.00009580872],"about_ca_topic_score_codex":0.0016134237,"about_ca_topic_score_gemma":0.0023574042,"teacher_disagreement_score":0.008974557,"about_ca_system_score_codex":0.0011043582,"about_ca_system_score_gemma":0.0009616063,"threshold_uncertainty_score":0.03002286},"labels":[],"label_agreement":null},{"id":"W2077208572","doi":"10.1155/s0161171204303522","title":"Geometric aspects of high‐order eigenvalue problems I. Structures on spaces of boundary conditions","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Spectral Theory in Mathematical Physics","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":"National Natural Science Foundation of China; Concordia University; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Boundary (topology); Boundary value problem; Space (punctuation); Manifold (fluid mechanics); Mathematical analysis; Pure mathematics; Order (exchange)","score_opus":0.03875380392203902,"score_gpt":0.34232090923225966,"score_spread":0.30356710531022063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077208572","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":[0.705722,0.00094029773,0.25366846,0.0017587736,0.00008450719,0.000071439754,0.00016450044,0.00014552487,0.037444483],"genre_scores_gemma":[0.9707007,0.00030437423,0.024054436,0.0001052144,0.00010546947,0.00006441271,0.000119063094,0.000040824914,0.004505596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993494,0.00018259663,0.000030788506,0.00009864469,0.00023294095,0.00010566914],"domain_scores_gemma":[0.99875486,0.0003586655,0.000332287,0.00012558182,0.00022338306,0.00020525837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008064313,0.0006002528,0.0004825909,0.0019986397,0.0014088275,0.002450321,0.0007514535,0.00096932566,0.003977968],"category_scores_gemma":[0.0022781184,0.0003477459,0.0005658045,0.00072405324,0.0042518224,0.003771789,0.0021211253,0.0014717409,0.00043312606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016151687,0.00001920341,0.00045776385,0.000034977627,0.000005550417,0.00009613882,0.00018942695,0.0066193063,0.0019170912,0.98778,0.00032305194,0.0025414098],"study_design_scores_gemma":[0.000014165979,0.000032798747,0.00070527993,0.000014772124,0.0000033943759,0.00016551989,0.00023820685,0.029358212,0.0011275216,0.9669029,0.0014220867,0.000015071093],"about_ca_topic_score_codex":0.00041301086,"about_ca_topic_score_gemma":0.00024183131,"teacher_disagreement_score":0.003977968,"about_ca_system_score_codex":0.001006284,"about_ca_system_score_gemma":0.0004090834,"threshold_uncertainty_score":0.013307571},"labels":[],"label_agreement":null},{"id":"W2078353205","doi":"10.1155/2007/29513","title":"On Generalized Periodic-Like Rings","year":2007,"lang":"lv","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Topics in Algebra","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.044440760374662845,"score_gpt":0.3612508103099107,"score_spread":0.31681004993524786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078353205","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":[0.6285297,0.003294527,0.09748441,0.0017688686,0.0007430823,0.00010427118,0.000626319,0.00070554315,0.26674327],"genre_scores_gemma":[0.9407188,0.0012806659,0.014627902,0.00043539205,0.00049116556,0.000058634465,0.00041143052,0.00011575892,0.04186024],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994646,0.00014595334,0.000025813277,0.00011619581,0.00012202605,0.0001253975],"domain_scores_gemma":[0.9995691,0.000098327466,0.00007070101,0.000091461276,0.000082210376,0.00008822427],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006188862,0.0005379925,0.0004940475,0.0010521956,0.0009676859,0.0012885119,0.0004605341,0.000430731,0.007661682],"category_scores_gemma":[0.001040606,0.00025931495,0.00067210814,0.00071086816,0.001707054,0.0020870576,0.0016167231,0.00086580194,0.0014985957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007145445,0.000020702695,0.00029274423,0.000072795214,0.000011092826,0.00021141955,0.00026165208,0.0018530922,0.0018263899,0.98003584,0.002972566,0.01237017],"study_design_scores_gemma":[0.000031080926,0.00008343077,0.0006825705,0.000033137352,0.000013503674,0.00031285154,0.00015832212,0.007336278,0.0013078192,0.97549874,0.014518054,0.000024294332],"about_ca_topic_score_codex":0.0007855742,"about_ca_topic_score_gemma":0.00067449705,"teacher_disagreement_score":0.007661682,"about_ca_system_score_codex":0.00093692803,"about_ca_system_score_gemma":0.00036289595,"threshold_uncertainty_score":0.025630832},"labels":[],"label_agreement":null},{"id":"W2084372196","doi":"10.1155/2008/490316","title":"On Prime Near‐Rings with Generalized Derivation","year":2008,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Topics in Algebra","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Mathematics; Artificial intelligence; Computer science","score_opus":0.06039204206111023,"score_gpt":0.3431397404808326,"score_spread":0.2827476984197224,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084372196","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":[0.84165984,0.0017001856,0.08145654,0.00079628057,0.00015330708,0.00005380594,0.00016820684,0.00013859045,0.07387323],"genre_scores_gemma":[0.97989506,0.00062090874,0.011842858,0.00013450395,0.000159908,0.000025608346,0.00011220395,0.000019254869,0.0071896594],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995265,0.00017132158,0.000020813359,0.000094157396,0.00011490552,0.00007236723],"domain_scores_gemma":[0.9993253,0.00024096658,0.000117695374,0.000079104095,0.00009859011,0.00013831515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082258775,0.00038603102,0.00042751877,0.0007293456,0.0010512903,0.00087754225,0.00039583887,0.0003425809,0.0034229676],"category_scores_gemma":[0.0011917469,0.00022700871,0.00047767672,0.00055131165,0.0023680145,0.0023736842,0.0023748328,0.0008938522,0.00065993343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004696402,0.000017071905,0.0006938017,0.00004948001,0.000010579221,0.00031972557,0.0003736734,0.0013526367,0.002984159,0.9879187,0.0004965721,0.0057367063],"study_design_scores_gemma":[0.00003146987,0.000096962875,0.0011700151,0.000017703627,0.000018475852,0.0007886613,0.00018056406,0.00500331,0.0028718086,0.9823844,0.0074136714,0.000022998986],"about_ca_topic_score_codex":0.00024888394,"about_ca_topic_score_gemma":0.00021599865,"teacher_disagreement_score":0.0034229676,"about_ca_system_score_codex":0.00048296113,"about_ca_system_score_gemma":0.0003370251,"threshold_uncertainty_score":0.011451006},"labels":[],"label_agreement":null},{"id":"W2087315866","doi":"10.1155/2011/969424","title":"Orthogonal Polynomials of Compact Simple Lie Groups","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Algebraic structures and combinatorial models","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":"Occupational Cancer Research Centre","funders":"Université de Montréal; Natural Sciences and Engineering Research Council of Canada; Mitacs; Centre de Recherches Mathématiques","keywords":"Simple Lie group; Orthogonal polynomials; Discrete orthogonal polynomials; Classical orthogonal polynomials; Representation of a Lie group; Chebyshev polynomials; Wilson polynomials; Fundamental representation; Difference polynomials; Lie group","score_opus":0.09214745859510369,"score_gpt":0.34007445396454855,"score_spread":0.24792699536944485,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087315866","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":[0.8246569,0.00081749324,0.1371796,0.0003769666,0.00012340488,0.000045271445,0.00007025687,0.00014499272,0.036585115],"genre_scores_gemma":[0.9781683,0.0002772408,0.013240005,0.0000401297,0.00008348861,0.00003035887,0.000044551896,0.000019569781,0.008096362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99965143,0.00011009133,0.000010979768,0.000038719252,0.00012564697,0.000063170955],"domain_scores_gemma":[0.9996438,0.00008055913,0.00009235181,0.000035651887,0.00007838319,0.000069233116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041171737,0.00039395262,0.000346886,0.0010990001,0.00072920206,0.00093505747,0.00043229986,0.00034601765,0.0018612205],"category_scores_gemma":[0.0014210573,0.00023595509,0.00036629313,0.0005272072,0.0016734122,0.0009612504,0.00090677344,0.0006699271,0.00027098766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023882134,0.000014746705,0.00018101542,0.000022196067,0.0000045170314,0.000093448405,0.00020880021,0.0029210888,0.002855526,0.9861935,0.00028020822,0.0072010937],"study_design_scores_gemma":[0.000029026189,0.00007260864,0.0005268126,0.00001930613,0.000008413488,0.0003072434,0.00014155566,0.052382763,0.0022381956,0.9398606,0.004388079,0.00002539607],"about_ca_topic_score_codex":0.0010254259,"about_ca_topic_score_gemma":0.00095869816,"teacher_disagreement_score":0.0018612205,"about_ca_system_score_codex":0.0006635228,"about_ca_system_score_gemma":0.00057479215,"threshold_uncertainty_score":0.006226361},"labels":[],"label_agreement":null},{"id":"W2096927879","doi":"10.1155/s0161171204403342","title":"Screen conformal half‐lightlike submanifolds","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","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 Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; University of Windsor","keywords":"Conformal map; Mathematics; Submanifold; Sectional curvature; Pure mathematics; Conformal geometry; Integrable system; Riemann curvature tensor; Distribution (mathematics); Operator (biology); Ricci curvature; Mathematical analysis; Curvature; Ricci decomposition; Class (philosophy); Riemannian manifold; Manifold (fluid mechanics); Curvature of Riemannian manifolds; Geometry; Scalar curvature; Conformal field theory","score_opus":0.040489390370814136,"score_gpt":0.323233160112506,"score_spread":0.2827437697416919,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2096927879","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":[0.96716523,0.00006689448,0.024693046,0.00011909047,0.000019151083,0.000019153695,0.000059550086,0.00005972606,0.007798161],"genre_scores_gemma":[0.99318963,0.0000576275,0.0019639588,0.000035848163,0.000023972783,0.000015232913,0.000074269556,0.000022521568,0.0046169986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99990165,0.000013067847,0.000003958358,0.000021481326,0.000037625006,0.000022148171],"domain_scores_gemma":[0.9997274,0.000032232572,0.000054415737,0.000029760262,0.000048733407,0.00010735628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013673666,0.0003127586,0.00021656265,0.0008299395,0.00048323808,0.0007258142,0.00027291177,0.00033480354,0.003237523],"category_scores_gemma":[0.0004510298,0.00015446733,0.00030238184,0.00014441842,0.00079767266,0.0006483448,0.00071644917,0.00040898772,0.0002510776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019572237,0.000076952274,0.008292522,0.00006515054,0.000049679576,0.0016941971,0.0007081203,0.01024165,0.10573415,0.86098194,0.0012533072,0.010706588],"study_design_scores_gemma":[0.00013128786,0.0004841307,0.039560318,0.000035336892,0.00005633695,0.0033627197,0.0013890724,0.2551275,0.04199376,0.648176,0.009599987,0.000083511666],"about_ca_topic_score_codex":0.0006873092,"about_ca_topic_score_gemma":0.00036476928,"teacher_disagreement_score":0.003237523,"about_ca_system_score_codex":0.00035984212,"about_ca_system_score_gemma":0.00016380516,"threshold_uncertainty_score":0.010830581},"labels":[],"label_agreement":null},{"id":"W2098357419","doi":"10.1155/ijmms.2005.2307","title":"On weak convergence of iterates in quantum <i>L</i><sub><i>p</i></sub>‐spaces(<i>p</i> ≥ 1)","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Operator Algebra 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":"University of Toronto","keywords":"Algorithm; Artificial intelligence; Mathematics; Computer science","score_opus":0.036973145734474515,"score_gpt":0.35487709502723136,"score_spread":0.31790394929275684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2098357419","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":[0.60375595,0.0016184511,0.329647,0.0020542485,0.0003599984,0.0001777101,0.00037009403,0.0003347932,0.06168178],"genre_scores_gemma":[0.93196285,0.0015769141,0.048536003,0.0005217169,0.00041818025,0.00043906723,0.00062895875,0.00034802806,0.015568409],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99775946,0.0008842676,0.00018576851,0.0003640794,0.00045140585,0.00035497185],"domain_scores_gemma":[0.9806826,0.010633853,0.001513694,0.000861538,0.0038596473,0.0024486429],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0071243765,0.0014386723,0.0013700905,0.0033183363,0.002520187,0.0040939017,0.0016577377,0.0019395292,0.0057793176],"category_scores_gemma":[0.02508055,0.00076452293,0.002183112,0.0011541388,0.006593297,0.008860787,0.005649647,0.004534857,0.0010060837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022404494,0.00007256963,0.0019995102,0.0001358681,0.000036738704,0.00047775795,0.001016057,0.0035413208,0.0051418343,0.9808704,0.0006983973,0.0057853716],"study_design_scores_gemma":[0.00005529509,0.00025426137,0.0023330855,0.000113968505,0.00003795421,0.00051187596,0.0009447749,0.05996523,0.0066237147,0.9271162,0.0019525411,0.0000910212],"about_ca_topic_score_codex":0.001123937,"about_ca_topic_score_gemma":0.0010381512,"teacher_disagreement_score":0.0071243765,"about_ca_system_score_codex":0.0020729543,"about_ca_system_score_gemma":0.0015483607,"threshold_uncertainty_score":0.037677765},"labels":[],"label_agreement":null},{"id":"W2099760008","doi":"10.1155/s0161171203207080","title":"On polynomials of Sheffer type arising from a Cauchy problem","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical functions and polynomials","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 King's University; Western University","funders":"","keywords":"Mathematics; Orthogonal polynomials; Laguerre polynomials; Classical orthogonal polynomials; Difference polynomials; Macdonald polynomials; Discrete orthogonal polynomials; Wilson polynomials; Hahn polynomials; Binomial (polynomial); Cauchy distribution; Pure mathematics; Fibonacci polynomials; Gegenbauer polynomials; Algebra over a field; Mathematical analysis","score_opus":0.059348585593886706,"score_gpt":0.34661614397658796,"score_spread":0.28726755838270124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099760008","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21523875,0.0032870793,0.716079,0.0028232033,0.00051380676,0.00006734153,0.00011903066,0.0001322846,0.061739486],"genre_scores_gemma":[0.87831956,0.004268622,0.08822256,0.00043421908,0.00082767435,0.00011229998,0.00023049494,0.0001200226,0.027464477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99927217,0.00028003502,0.000025991309,0.00006972019,0.00021206278,0.00014012241],"domain_scores_gemma":[0.99818844,0.000949165,0.00019007955,0.00011082305,0.00035640833,0.00020517464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018156352,0.0009001906,0.0005940421,0.0018429899,0.001358154,0.002074484,0.000730841,0.0013490269,0.0028884576],"category_scores_gemma":[0.0066037336,0.00033689127,0.0010387221,0.001344135,0.0035997287,0.004064625,0.0017546789,0.0024306006,0.0006081661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000106930565,0.000008318697,0.00012571565,0.000024950032,0.0000026413086,0.00008002565,0.00014950846,0.0026785994,0.00048281575,0.9933554,0.00034150315,0.0027398425],"study_design_scores_gemma":[0.000006839068,0.00002198505,0.00012618843,0.000021778458,0.0000039764077,0.00018311,0.00009930029,0.039536458,0.00031015647,0.95794815,0.0017285814,0.000013521238],"about_ca_topic_score_codex":0.0011851455,"about_ca_topic_score_gemma":0.0007466659,"teacher_disagreement_score":0.0028884576,"about_ca_system_score_codex":0.0012544302,"about_ca_system_score_gemma":0.0011781029,"threshold_uncertainty_score":0.009662926},"labels":[],"label_agreement":null},{"id":"W2100526795","doi":"10.1155/s0161171203204336","title":"A relative integral basis over ℚ(−3) for the normal closure of a pure cubic field","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Carleton University; Okanagan University College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Closure (psychology); Basis (linear algebra); Field (mathematics); Mathematical analysis; Cubic form; Combinatorics; Pure mathematics; Geometry; Law","score_opus":0.03546025940739434,"score_gpt":0.3319783641306147,"score_spread":0.2965181047232204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100526795","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":[0.5040292,0.0015485664,0.2811944,0.0019882023,0.00085306505,0.00014184271,0.0010929165,0.0008100817,0.20834166],"genre_scores_gemma":[0.88138074,0.0010771259,0.08795388,0.00035956534,0.0004161273,0.000098392826,0.00091005565,0.00020144548,0.0276026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997751,0.000029797437,0.000008405162,0.00003271538,0.00009370517,0.000060248818],"domain_scores_gemma":[0.99983597,0.000018399152,0.000022782322,0.000020861362,0.000050180533,0.000051763018],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004902343,0.00044490935,0.00046765443,0.0015010723,0.00092391716,0.001234906,0.000675118,0.00039634123,0.0049577453],"category_scores_gemma":[0.00047236923,0.00017993996,0.00038940686,0.0006800882,0.0017236449,0.0014354911,0.0013157768,0.0020515409,0.0013786624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007373933,0.000038704446,0.00025690862,0.000087395085,0.0000048877546,0.00011387418,0.0002979169,0.0013236643,0.006357968,0.9607184,0.0032877342,0.027438814],"study_design_scores_gemma":[0.000048061647,0.00016586953,0.0013351177,0.00007389147,0.000021226339,0.0004634391,0.00043901015,0.011462022,0.0043546148,0.945063,0.03649457,0.00007908866],"about_ca_topic_score_codex":0.0015532966,"about_ca_topic_score_gemma":0.0014257325,"teacher_disagreement_score":0.0049577453,"about_ca_system_score_codex":0.0009439677,"about_ca_system_score_gemma":0.0007038098,"threshold_uncertainty_score":0.01658529},"labels":[],"label_agreement":null},{"id":"W2100696287","doi":"10.1155/s0161171200001745","title":"Similarity analysis for natural convection from a vertical plate with distributed wall concentration","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nanofluid Flow and Heat Transfer","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":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Laminar flow; Similarity (geometry); Mathematics; Artificial intelligence; Computer science; Physics; Thermodynamics","score_opus":0.013675012242192842,"score_gpt":0.24777138402589047,"score_spread":0.23409637178369763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100696287","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":[0.77866536,0.0006151404,0.21183495,0.00016550154,0.000056620524,0.00006724803,0.000028305874,0.000097335294,0.008469579],"genre_scores_gemma":[0.9929443,0.00014690151,0.004098042,0.000020481337,0.000024975649,0.000022351396,0.000029373101,0.000011355832,0.002702177],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998128,0.00004020422,0.000008643612,0.000023416005,0.00008615973,0.00002872521],"domain_scores_gemma":[0.9994423,0.00024751673,0.00014124373,0.000017965227,0.00010153573,0.000049498525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032867573,0.0003857851,0.00038783439,0.0006645809,0.00031179225,0.00069089234,0.00047666102,0.00064749824,0.0006423692],"category_scores_gemma":[0.0015874306,0.00018062962,0.0004961057,0.00027369088,0.0009529523,0.00056878646,0.0008082122,0.00029103522,0.000111449925],"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":[0.00019934087,0.00009963808,0.0021215305,0.0001976016,0.000046052253,0.00059601985,0.00017341891,0.85098684,0.06870267,0.06609193,0.00032730782,0.010457647],"study_design_scores_gemma":[0.000010154539,0.00004526627,0.00060054805,0.0000028601362,0.000004188748,0.000059351885,0.000019723666,0.99285734,0.002689368,0.0035346912,0.00016637649,0.000010218287],"about_ca_topic_score_codex":0.0026370124,"about_ca_topic_score_gemma":0.00081911916,"teacher_disagreement_score":0.0026370124,"about_ca_system_score_codex":0.0006448363,"about_ca_system_score_gemma":0.0005928026,"threshold_uncertainty_score":0.005243361},"labels":[],"label_agreement":null},{"id":"W2101303331","doi":"10.1155/s0161171204406528","title":"Stagnation‐point flow of the Walters′ B′ fluid with slip","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Gas Dynamics and Kinetic 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":"University of Regina","funders":"","keywords":"Stagnation point; Mathematics; Slip (aerodynamics); Stagnation temperature; Non-Newtonian fluid; Newtonian fluid; Mechanics; Fluid dynamics; Flow (mathematics); Stagnation pressure; Calculus (dental); Geometry; Physics; Thermodynamics; Heat transfer","score_opus":0.020422536453861342,"score_gpt":0.287398372073864,"score_spread":0.26697583562000266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101303331","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":[0.9433776,0.0016160449,0.042316984,0.00028316103,0.00010338194,0.00004631673,0.000046968285,0.000096469405,0.012113005],"genre_scores_gemma":[0.9890683,0.0005640481,0.0051981285,0.000030538264,0.00005139039,0.00002439092,0.00004682411,0.000017150356,0.0049991896],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998248,0.000041931336,0.000007974555,0.000024597091,0.00005589632,0.00004484329],"domain_scores_gemma":[0.9997029,0.00010848731,0.000090491485,0.000012267077,0.000037873648,0.000047977235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034992697,0.00053422496,0.0006555667,0.000682864,0.00059473637,0.0009407148,0.00039905444,0.00086385437,0.0007243448],"category_scores_gemma":[0.0011620523,0.0002942255,0.00038188248,0.00038669436,0.0014314702,0.00067326234,0.00083110796,0.00033768988,0.00016444898],"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":[0.0013815602,0.00035168877,0.009237177,0.000906657,0.00012418814,0.008037352,0.0016095996,0.30208376,0.42149624,0.19928806,0.0026783778,0.05280535],"study_design_scores_gemma":[0.00035071353,0.0014152699,0.01012037,0.00007215154,0.000058757276,0.0030133254,0.00025288967,0.8729165,0.07272183,0.031079212,0.007832984,0.00016603236],"about_ca_topic_score_codex":0.0021244253,"about_ca_topic_score_gemma":0.00056285394,"teacher_disagreement_score":0.0021244253,"about_ca_system_score_codex":0.0005417167,"about_ca_system_score_gemma":0.00067618943,"threshold_uncertainty_score":0.0042241216},"labels":[],"label_agreement":null},{"id":"W2101523855","doi":"10.1155/s0161171201012352","title":"On the Bohr transform of almost‐periodic solutions for some differential equations in abstract spaces","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nonlinear Differential Equations Analysis","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","funders":"","keywords":"Mathematics; Bohr model; Banach space; Almost periodic function; C0-semigroup; Differential equation; Mathematical analysis; Pure mathematics; Quantum mechanics","score_opus":0.09344868687415024,"score_gpt":0.3623929755252545,"score_spread":0.26894428865110426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101523855","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":[0.5779785,0.0029596188,0.3673894,0.0036713043,0.00044357762,0.00010030267,0.00015747442,0.00019719034,0.047102623],"genre_scores_gemma":[0.9634088,0.0014190965,0.025555223,0.00032685447,0.00029760608,0.00008125862,0.000110818095,0.000053596304,0.0087467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996111,0.0001426237,0.000021353777,0.00005258208,0.000115201416,0.000057191464],"domain_scores_gemma":[0.9987974,0.0005500955,0.00022079989,0.000055912256,0.00019909027,0.00017677],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016367236,0.0006621393,0.00079642254,0.0016634926,0.0010655589,0.0016157227,0.0008692507,0.0011807604,0.0032358526],"category_scores_gemma":[0.0046175914,0.00033828616,0.00087800436,0.0008689864,0.0028973855,0.0038778326,0.0018577036,0.0017053757,0.00032545632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035963498,0.000018121491,0.00015193704,0.00005203809,0.00001010901,0.00016292882,0.0003894885,0.004236978,0.0022618936,0.9901454,0.00026360922,0.0022714103],"study_design_scores_gemma":[0.000031150204,0.00008730336,0.00034466834,0.00003212774,0.000010786639,0.00024324286,0.00024391887,0.07431152,0.0010298495,0.92216456,0.0014672312,0.000033659824],"about_ca_topic_score_codex":0.00085613725,"about_ca_topic_score_gemma":0.00044437742,"teacher_disagreement_score":0.0032358526,"about_ca_system_score_codex":0.0006297424,"about_ca_system_score_gemma":0.0006387073,"threshold_uncertainty_score":0.010824978},"labels":[],"label_agreement":null},{"id":"W2101879572","doi":"10.1155/2011/305856","title":"A Penalization‐Gradient Algorithm for Variational Inequalities","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Optimization and Variational Analysis","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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Variational inequality; Lipschitz continuity; Monotone polygon; Strongly monotone; Hilbert space; Operator (biology); Convergence (economics); Convex function; Monotonic function; Applied mathematics; Function (biology); Fixed point; Regular polygon; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.060434319948709375,"score_gpt":0.300444247864233,"score_spread":0.24000992791552364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101879572","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":[0.0024796126,0.00011547291,0.99584913,0.00015624214,0.000035778354,0.00005126328,0.000014280646,0.000092878494,0.001205356],"genre_scores_gemma":[0.159905,0.00024691518,0.83139694,0.00026974507,0.00012645288,0.00051174534,0.00016120383,0.00021883925,0.00716317],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991341,0.0004116229,0.000037571142,0.00011501716,0.00023431968,0.0000674225],"domain_scores_gemma":[0.9986603,0.00083572866,0.00008025071,0.00008803124,0.00025425185,0.000081425904],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021625124,0.0010554775,0.0011672426,0.00071974593,0.00046236484,0.0010060564,0.001474935,0.0017574581,0.0026660946],"category_scores_gemma":[0.0045678047,0.00061779184,0.0008362134,0.00066248875,0.0013443129,0.0012348855,0.0016782864,0.0022742513,0.00068792095],"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":[0.0002373239,0.00013987276,0.0006926047,0.00024267688,0.000112822636,0.00015371425,0.0001891984,0.64833593,0.007896912,0.20998494,0.0044936994,0.12752022],"study_design_scores_gemma":[0.00001554147,0.00003494474,0.000035718847,0.000008336761,0.000003669041,0.000014051624,0.000004585243,0.98745084,0.00041467164,0.010861606,0.0011502311,0.0000058255223],"about_ca_topic_score_codex":0.0025573485,"about_ca_topic_score_gemma":0.0020336942,"teacher_disagreement_score":0.0026660946,"about_ca_system_score_codex":0.0011443481,"about_ca_system_score_gemma":0.0016807521,"threshold_uncertainty_score":0.011436641},"labels":[],"label_agreement":null},{"id":"W2102162584","doi":"10.1155/s016117120330403x","title":"On the difference of values of the kernel function at consecutiveintegers","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Mathematics; Integer (computer science); Conjecture; Kernel (algebra); Function (biology); Set (abstract data type); Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.0738984377341827,"score_gpt":0.3540300492228094,"score_spread":0.2801316114886267,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102162584","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":[0.8834741,0.00050527963,0.10104906,0.0009303067,0.00018662697,0.0000365671,0.00020196207,0.00019681119,0.013419215],"genre_scores_gemma":[0.98016685,0.0003407551,0.015627924,0.00007241108,0.00007238925,0.00005485384,0.00016441573,0.00009003998,0.0034103957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993036,0.00013078559,0.00004043786,0.00015724098,0.00017817634,0.00018980217],"domain_scores_gemma":[0.9947352,0.002986027,0.0007209245,0.0005298081,0.00048997416,0.0005379805],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022304633,0.00068091374,0.000767023,0.0019550072,0.0011427336,0.0021171959,0.0022209964,0.0013377278,0.0042609326],"category_scores_gemma":[0.014093742,0.00033030793,0.0005894223,0.0009389365,0.0043329233,0.006141447,0.0022219243,0.0019114226,0.0005729328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00039752416,0.00010326684,0.0030310606,0.00012288692,0.000020163507,0.0003790203,0.00040037045,0.009058802,0.011350322,0.9605392,0.0007338732,0.01386347],"study_design_scores_gemma":[0.000072604555,0.0000854897,0.004203244,0.000074400356,0.000021166543,0.0006558021,0.00021164032,0.08702535,0.008115096,0.89743304,0.0020110968,0.00009103387],"about_ca_topic_score_codex":0.00051963615,"about_ca_topic_score_gemma":0.00044506244,"teacher_disagreement_score":0.0042609326,"about_ca_system_score_codex":0.0014615712,"about_ca_system_score_gemma":0.000752905,"threshold_uncertainty_score":0.014254212},"labels":[],"label_agreement":null},{"id":"W2102239241","doi":"10.1155/s0161171203209224","title":"Subthreshold domain of bistable equilibria for a model of HIVepidemiology","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bistability; Subthreshold conduction; Mathematics; Mixing (physics); Human immunodeficiency virus (HIV); Stability (learning theory); Population; Domain (mathematical analysis); Basic reproduction number; Transmission (telecommunications); Homogeneous; Statistical physics; Applied mathematics; Mathematical analysis; Virology; Environmental health; Medicine; Physics; Computer science; Combinatorics; Quantum mechanics; Telecommunications","score_opus":0.08005704331332289,"score_gpt":0.3621306105486723,"score_spread":0.2820735672353494,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102239241","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":[0.5685864,0.0017623762,0.38380733,0.0026288393,0.00016878497,0.00009832529,0.00037634396,0.00032162634,0.042249974],"genre_scores_gemma":[0.98828727,0.00037303256,0.0040294565,0.000104438484,0.00004529923,0.00006711311,0.00007472707,0.00002218028,0.006996459],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9998722,0.000038708786,0.0000048996394,0.000016640903,0.000025610016,0.000041959447],"domain_scores_gemma":[0.9992619,0.00040406006,0.0001347023,0.000031989475,0.00005091561,0.000116409254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003905322,0.0005968932,0.0006366397,0.0006433406,0.0005745079,0.0010998595,0.0009854119,0.0010822713,0.00340606],"category_scores_gemma":[0.0022651441,0.00021574773,0.00053610624,0.00029608182,0.0012771484,0.0010751694,0.000976128,0.00095786044,0.00029215252],"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":[0.00018414787,0.00009303878,0.0020853598,0.00010230432,0.00008189202,0.0007440438,0.00039343818,0.49800846,0.012551669,0.48020875,0.0014335406,0.0041133366],"study_design_scores_gemma":[0.000025624198,0.000031739855,0.00028971976,0.000007304679,0.000008469504,0.000058004433,0.00003427654,0.9299613,0.0002954376,0.068737246,0.00053931307,0.000011564369],"about_ca_topic_score_codex":0.0048211874,"about_ca_topic_score_gemma":0.0019079554,"teacher_disagreement_score":0.0048211874,"about_ca_system_score_codex":0.0008745847,"about_ca_system_score_gemma":0.00054624234,"threshold_uncertainty_score":0.0113943815},"labels":[],"label_agreement":null},{"id":"W2102405614","doi":"10.1155/s0161171203212357","title":"Unsteady stagnation point flow of a non‐Newtonian second‐gradefluid","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Rheology and Fluid Dynamics Studies","field":"Chemical Engineering","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 Waterloo; University of Regina","funders":"","keywords":"Stagnation point; Mathematics; Newtonian fluid; Stagnation temperature; Flow (mathematics); Non-Newtonian fluid; Plane (geometry); Stagnation pressure; Harmonic; Mechanics; Viscoelasticity; Point (geometry); Herschel–Bulkley fluid; Mathematical analysis; Geometry; Physics; Heat transfer; Thermodynamics; Mach number; Acoustics","score_opus":0.01322856677259946,"score_gpt":0.26764539703502926,"score_spread":0.2544168302624298,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102405614","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":[0.96499723,0.0006204823,0.027309626,0.00025290772,0.000076996315,0.000041206004,0.00007074668,0.00010318821,0.0065277005],"genre_scores_gemma":[0.98999536,0.000326841,0.0040476946,0.000028607186,0.00003753844,0.000025177615,0.00007991279,0.000016712956,0.005442087],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99989533,0.000020117568,0.0000037717764,0.000014762975,0.00003792019,0.000028020337],"domain_scores_gemma":[0.99980754,0.00008311459,0.000034089477,0.0000104380515,0.000027289765,0.000037588976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019516528,0.0005239177,0.00057775574,0.00048517872,0.00058231474,0.0009155872,0.00047802308,0.0010260605,0.00097155996],"category_scores_gemma":[0.0007309062,0.00027651357,0.00034201308,0.00026487396,0.0017815264,0.00056692894,0.00073705585,0.0004357344,0.0001488328],"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":[0.0010195718,0.0004024545,0.0041085603,0.0004940717,0.000090274145,0.004835678,0.0008546043,0.5070455,0.40233633,0.060916606,0.0012555259,0.016640797],"study_design_scores_gemma":[0.00012651994,0.00049731514,0.0032011422,0.000024420298,0.000025878819,0.00035808244,0.00008354549,0.9532975,0.03569654,0.004299112,0.0023291828,0.000060818616],"about_ca_topic_score_codex":0.006788003,"about_ca_topic_score_gemma":0.0017843753,"teacher_disagreement_score":0.006788003,"about_ca_system_score_codex":0.00066896656,"about_ca_system_score_gemma":0.00090095215,"threshold_uncertainty_score":0.013496995},"labels":[],"label_agreement":null},{"id":"W2102446274","doi":"10.1155/s0161171203012237","title":"Continuous homomorphisms of Arens‐Michael algebras","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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 Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Homomorphism; Morphism; Uncountable set; Subalgebra; Inverse limit; Pure mathematics; Product (mathematics); Direct limit; Crossed product; Limit (mathematics); Algebra over a field; Mathematical analysis","score_opus":0.033981261741590746,"score_gpt":0.3285154619367196,"score_spread":0.2945342001951289,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102446274","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":[0.67394346,0.0017708176,0.25779223,0.00058305915,0.00025072412,0.00009410631,0.00019534589,0.00049314974,0.06487706],"genre_scores_gemma":[0.96112186,0.0005593199,0.026228251,0.00009931235,0.00017351992,0.00011445648,0.0001786436,0.00003459091,0.011490172],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882466,0.00024162438,0.000071181,0.00028775953,0.00037880347,0.00019600471],"domain_scores_gemma":[0.99872154,0.0003310755,0.00019704559,0.00016073146,0.00030935183,0.0002802811],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012366287,0.0004893095,0.00042962414,0.0015091728,0.0014817831,0.002260274,0.0007404869,0.0004336594,0.00371083],"category_scores_gemma":[0.0024726607,0.00035297527,0.00079754577,0.0007893844,0.0025591261,0.0059017455,0.0019412829,0.0014608289,0.0004529065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030769137,0.000029209335,0.00036913832,0.00003399515,0.0000136904655,0.00012506732,0.0004453722,0.0005422707,0.0029270798,0.9901703,0.00025142817,0.0050616753],"study_design_scores_gemma":[0.000027577145,0.00013417572,0.0012950647,0.000031634365,0.0000353497,0.000838021,0.0005759766,0.010408316,0.0071802037,0.96733344,0.012103227,0.000036967467],"about_ca_topic_score_codex":0.0006392387,"about_ca_topic_score_gemma":0.00039931166,"teacher_disagreement_score":0.00371083,"about_ca_system_score_codex":0.0010112663,"about_ca_system_score_gemma":0.0007091698,"threshold_uncertainty_score":0.012413979},"labels":[],"label_agreement":null},{"id":"W2104329541","doi":"10.1155/2015/843851","title":"A Domain-Specific Architecture for Elementary Function Evaluation","year":2015,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Parallel Computing and Optimization Techniques","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"SIMD; Computer science; Parallel computing; Lookup table; Elementary function; Throughput; Coprocessor; Computation; Floating point; Table (database); Arithmetic; Algorithm; Mathematics; Programming language; Operating system","score_opus":0.0648069778221249,"score_gpt":0.33814292708657684,"score_spread":0.2733359492644519,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2104329541","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":[0.05971506,0.0004754566,0.9170495,0.00019287596,0.00010604289,0.00016055256,0.00035457665,0.00925346,0.012692448],"genre_scores_gemma":[0.43512037,0.0003991136,0.55586773,0.00034610805,0.000048424346,0.0002273103,0.0011307604,0.0003840076,0.006476197],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997501,0.00003788454,0.000020932406,0.00006394153,0.00008285262,0.000044328317],"domain_scores_gemma":[0.9994646,0.00009379952,0.000029910303,0.00020848792,0.0001737411,0.000029526787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00028333825,0.0003972858,0.0003773227,0.0005043614,0.00034059814,0.0007483285,0.0016899229,0.00049001985,0.004952432],"category_scores_gemma":[0.00084299047,0.00032863911,0.0005365504,0.00072792836,0.0003991379,0.0009591075,0.0004861057,0.0010354172,0.0020216338],"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":[0.00088903797,0.0004211195,0.0091460105,0.0010193756,0.00021254932,0.0005269004,0.0003122846,0.22097635,0.22519375,0.12856016,0.028130947,0.38461152],"study_design_scores_gemma":[0.00007384968,0.0004902264,0.002004872,0.00006434506,0.00013731868,0.0006275966,0.00004595789,0.7770829,0.1306371,0.019883078,0.06887949,0.00007317819],"about_ca_topic_score_codex":0.0014047875,"about_ca_topic_score_gemma":0.0023732167,"teacher_disagreement_score":0.004952432,"about_ca_system_score_codex":0.00059698167,"about_ca_system_score_gemma":0.0012011308,"threshold_uncertainty_score":0.016567528},"labels":[],"label_agreement":null},{"id":"W2105890093","doi":"10.1155/s0161171203210668","title":"On a few Diophantine equations, in particular, Fermat′s last theorem","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Diophantine equation; Fermat's Last Theorem; Diophantine geometry; Elliptic curve; Conjecture; Number theory; Pure mathematics; Diophantine set; Logarithm; Diophantine approximation; Modularity (biology); Fermat's little theorem; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.03991255246751666,"score_gpt":0.32961440179982576,"score_spread":0.2897018493323091,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105890093","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":[0.07783119,0.25514883,0.20788509,0.03582857,0.0076513058,0.00008930153,0.00058381795,0.00036026482,0.4146216],"genre_scores_gemma":[0.5064818,0.22054273,0.08769412,0.013336339,0.01762823,0.00013564588,0.0011775189,0.00040440325,0.1525992],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993955,0.00015365862,0.000044780794,0.0001255269,0.00021584879,0.00006464419],"domain_scores_gemma":[0.9990163,0.00061974267,0.00008652626,0.00008089098,0.00015109817,0.000045347566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011974889,0.00063037116,0.00077243254,0.0018020115,0.002128586,0.00136047,0.000654608,0.0011989452,0.005016235],"category_scores_gemma":[0.0033148227,0.0003784342,0.00062344177,0.0027027412,0.0028410964,0.006397674,0.0011566409,0.002679237,0.0017508643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024969895,0.000033488635,0.0006365329,0.0003902583,0.000014296647,0.00023070103,0.00060553465,0.0011138718,0.0008918783,0.9190019,0.018134896,0.058921725],"study_design_scores_gemma":[0.000007256383,0.000029062676,0.0007581424,0.00016963018,0.000012310936,0.000554516,0.00013512546,0.0011452647,0.00045000686,0.8586445,0.13806711,0.000027171773],"about_ca_topic_score_codex":0.0012834631,"about_ca_topic_score_gemma":0.0013743012,"teacher_disagreement_score":0.005016235,"about_ca_system_score_codex":0.0016087743,"about_ca_system_score_gemma":0.0006985725,"threshold_uncertainty_score":0.016780972},"labels":[],"label_agreement":null},{"id":"W2112027290","doi":"10.1155/s0161171201007955","title":"Effects of diffraction and radiation on a submerged sphere","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Ocean Waves and Remote Sensing","field":"Earth and Planetary Sciences","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":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conservative vector field; Velocity potential; Inviscid flow; Mathematics; Diffraction; Boundary value problem; Potential flow; Compressibility; Added mass; Mathematical analysis; Laplace's equation; Free surface; Boundary (topology); Classical mechanics; Mechanics; Physics; Vibration","score_opus":0.01044195217845505,"score_gpt":0.24134333228282026,"score_spread":0.2309013801043652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2112027290","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":[0.9637752,0.0007216941,0.027121963,0.00023343929,0.00006213419,0.00004432999,0.0000556169,0.00023253076,0.0077530225],"genre_scores_gemma":[0.9942761,0.00042321396,0.0029876265,0.00006313719,0.00002190175,0.000012219561,0.000039303435,0.000046332494,0.0021301417],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9994869,0.000105359046,0.000022632204,0.00007779639,0.00018159102,0.00012565301],"domain_scores_gemma":[0.9973611,0.0018672879,0.00025625966,0.0001416348,0.0001893944,0.00018438426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005994327,0.0007131236,0.0012092055,0.00043730816,0.0005908253,0.0006687142,0.00045905315,0.0008090598,0.0020982749],"category_scores_gemma":[0.0030939511,0.00043343994,0.00089487346,0.00038398188,0.0015919504,0.0011164444,0.0015631513,0.00092589465,0.00026798595],"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":[0.0017466798,0.00022479909,0.009651331,0.00039470347,0.00019333971,0.0069472254,0.0016427882,0.30894113,0.6240664,0.008767188,0.00080072467,0.03662366],"study_design_scores_gemma":[0.0005438266,0.0028933238,0.04073015,0.00013947868,0.00032004935,0.0047800844,0.0019634177,0.64005,0.29241124,0.012534933,0.0032910202,0.0003425177],"about_ca_topic_score_codex":0.0023407415,"about_ca_topic_score_gemma":0.00089631526,"teacher_disagreement_score":0.0023407415,"about_ca_system_score_codex":0.00065494276,"about_ca_system_score_gemma":0.0004264647,"threshold_uncertainty_score":0.0070194006},"labels":[],"label_agreement":null},{"id":"W2114617845","doi":"10.1155/s016117120000257x","title":"Cauchy′s interlace theorem and lower bounds for the spectral radius","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Matrix Theory and Algorithms","field":"Computer Science","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 Guelph","funders":"","keywords":"Mathematics; Spectral radius; Interlacing; Cauchy distribution; RADIUS; Upper and lower bounds; Matrix (chemical analysis); Simple (philosophy); Pure mathematics; Combinatorics; Mathematical analysis; Quantum mechanics; Eigenvalues and eigenvectors; Physics","score_opus":0.015057881349219199,"score_gpt":0.2819155211449836,"score_spread":0.2668576397957644,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114617845","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01787569,0.008823334,0.91824853,0.0035284164,0.0013643767,0.00008533253,0.00027415424,0.00042180248,0.049378324],"genre_scores_gemma":[0.52414775,0.02046541,0.3970436,0.0044618817,0.005858951,0.0010029372,0.00088189996,0.0017881609,0.044349443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.995906,0.0010323036,0.00024666823,0.000845592,0.001450038,0.0005193662],"domain_scores_gemma":[0.9763204,0.014157148,0.0013178062,0.0023771646,0.0045896005,0.001237884],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0068139792,0.0028153732,0.0019180477,0.005850732,0.0021719278,0.0030987142,0.0037007527,0.003325785,0.008624366],"category_scores_gemma":[0.038334794,0.0009500373,0.0027789855,0.0032121835,0.0062506204,0.012385633,0.005829038,0.009542028,0.004228063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010795819,0.000050264673,0.00046096416,0.00038619526,0.000055558707,0.00029014033,0.0003441479,0.0070819925,0.0060689114,0.94625264,0.008400439,0.030500751],"study_design_scores_gemma":[0.000015849799,0.000101687765,0.0006172639,0.000112607384,0.00004296891,0.0005743174,0.00010475022,0.04848585,0.007204161,0.9187813,0.023871375,0.00008793229],"about_ca_topic_score_codex":0.0013716932,"about_ca_topic_score_gemma":0.0007022889,"teacher_disagreement_score":0.008624366,"about_ca_system_score_codex":0.0020423643,"about_ca_system_score_gemma":0.001121138,"threshold_uncertainty_score":0.036036193},"labels":[],"label_agreement":null},{"id":"W2116132396","doi":"10.1155/s0161171203106230","title":"The combinatorial structure of trigonometry","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematics and Applications","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":"Université du Québec à Trois-Rivières","funders":"","keywords":"Trigonometry; Mathematics; Trigonometric functions; Identity (music); Van der Waerden's theorem; Formalism (music); Inverse trigonometric functions; Pure mathematics; Algebra over a field; Combinatorics; Geometry; Mathematical analysis; Physics","score_opus":0.03682751414950225,"score_gpt":0.34595198452425274,"score_spread":0.3091244703747505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2116132396","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08738209,0.01132824,0.47632208,0.0069510997,0.0022173245,0.0000906676,0.00053337653,0.000554436,0.41462073],"genre_scores_gemma":[0.8405048,0.0076683965,0.10467208,0.0016248074,0.0036213994,0.00024136789,0.0006364579,0.0004266461,0.04060405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987419,0.00033741334,0.000086640706,0.00026342916,0.00046554164,0.000105004765],"domain_scores_gemma":[0.9980799,0.0007772515,0.00020305093,0.00037072448,0.000401978,0.00016700398],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009281784,0.00052723865,0.0006546885,0.003568491,0.0022061476,0.007039343,0.0009132269,0.00093787076,0.008184263],"category_scores_gemma":[0.0053770826,0.00045790483,0.0007520696,0.003223872,0.008344699,0.006849685,0.0022280822,0.002326715,0.002054466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000029896833,0.0000020910222,0.0000436042,0.000017168331,0.0000013979742,0.000032919106,0.000088187975,0.00033730644,0.0001389032,0.99423134,0.0008434656,0.0042605386],"study_design_scores_gemma":[0.0000027725582,0.000006599533,0.00010762044,0.000016104339,0.00000264577,0.000115217445,0.0000671171,0.0017858772,0.00015666764,0.9844477,0.013283181,0.000008415372],"about_ca_topic_score_codex":0.0007964757,"about_ca_topic_score_gemma":0.00060261914,"teacher_disagreement_score":0.008184263,"about_ca_system_score_codex":0.0014991502,"about_ca_system_score_gemma":0.00066236,"threshold_uncertainty_score":0.027379036},"labels":[],"label_agreement":null},{"id":"W2117048808","doi":"10.1155/ijmms.2005.1525","title":"A nonlinear boundary problem involving the <i>p</i>‐bilaplacian operator","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nonlinear Partial Differential Equations","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":"Polytechnique Montréal","funders":"","keywords":"Algorithm; Computer science","score_opus":0.051753296877285825,"score_gpt":0.35191677438955316,"score_spread":0.30016347751226735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2117048808","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38213035,0.0012154988,0.5268557,0.00897527,0.0008838781,0.00015447212,0.00012910136,0.0001523394,0.0795033],"genre_scores_gemma":[0.89803475,0.00058523647,0.06486906,0.00062962336,0.00032911953,0.00013505146,0.000098218865,0.000108599095,0.035210386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977046,0.00007033518,0.000012475593,0.00004972152,0.00004983926,0.0000472077],"domain_scores_gemma":[0.99939156,0.00029756807,0.00008065979,0.00003566146,0.000070842725,0.00012360152],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090665685,0.00077345455,0.00066027,0.00064692704,0.0013623352,0.0020184864,0.0008105835,0.0029439335,0.0033883178],"category_scores_gemma":[0.0024281114,0.00037732357,0.000603322,0.00025186595,0.0033618787,0.0021314055,0.0032069767,0.002199164,0.00039531037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022976058,0.00013164604,0.0012144104,0.00041593876,0.000043345943,0.003486045,0.0008551764,0.08581916,0.040638898,0.8502141,0.0027393182,0.014212141],"study_design_scores_gemma":[0.00010643576,0.00015565971,0.00074818777,0.000092668626,0.000025605703,0.0011270562,0.0007501922,0.4759796,0.014466144,0.49992126,0.0065334095,0.000093742194],"about_ca_topic_score_codex":0.001856724,"about_ca_topic_score_gemma":0.00077607145,"teacher_disagreement_score":0.0033883178,"about_ca_system_score_codex":0.0008503056,"about_ca_system_score_gemma":0.00078143086,"threshold_uncertainty_score":0.011335015},"labels":[],"label_agreement":null},{"id":"W2125471775","doi":"10.1155/s0161171204307258","title":"Product partitions and recursion formulae","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Identities","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","keywords":"Mathematics; Recursion (computer science); Product (mathematics); Partition (number theory); Combinatorics; Infinite product; Variety (cybernetics); Pure mathematics; Discrete mathematics; Algorithm; Statistics; Geometry","score_opus":0.06341449629535487,"score_gpt":0.37485272818519544,"score_spread":0.31143823188984054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2125471775","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10003728,0.0021531852,0.7446293,0.0015536547,0.00039758705,0.00013129522,0.00037684455,0.0006281383,0.15009274],"genre_scores_gemma":[0.73201114,0.0015370696,0.22430761,0.0012718443,0.0007194108,0.0004107367,0.00048915565,0.0007425287,0.0385106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99745995,0.0006452346,0.00015878947,0.0004531807,0.00084913993,0.00043385522],"domain_scores_gemma":[0.9938599,0.0039106673,0.0003177386,0.0007989022,0.00082644314,0.00028630326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038081845,0.00084792404,0.0011690296,0.0040634726,0.0026670177,0.003337735,0.0021802066,0.001688163,0.010146089],"category_scores_gemma":[0.013045111,0.0007006143,0.0020267447,0.0030869658,0.005068489,0.010063312,0.003418918,0.004640388,0.002523675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005075007,0.0000050413933,0.000098759796,0.000015236079,0.0000020009857,0.000025923327,0.00013692702,0.00029852556,0.00026852658,0.9949169,0.00054133276,0.0036856923],"study_design_scores_gemma":[0.00000435281,0.000007106902,0.00013252183,0.000012767109,0.0000044368667,0.000113595976,0.000020127227,0.004913326,0.00041215055,0.99136615,0.0030030294,0.000010535834],"about_ca_topic_score_codex":0.0019741622,"about_ca_topic_score_gemma":0.0018772894,"teacher_disagreement_score":0.010146089,"about_ca_system_score_codex":0.0028793584,"about_ca_system_score_gemma":0.0010957051,"threshold_uncertainty_score":0.033942044},"labels":[],"label_agreement":null},{"id":"W2127392211","doi":"10.1155/s0161171202109185","title":"Generalized Beltrami flows and other closed‐form solutions of an unsteady viscoelastic fluid","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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 Regina","funders":"","keywords":"Mathematics; Viscoelasticity; Pure mathematics; Mathematical analysis; Thermodynamics","score_opus":0.03901756765899878,"score_gpt":0.30787818847660553,"score_spread":0.26886062081760675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127392211","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":[0.61798126,0.0050121727,0.34486398,0.0018108544,0.00065803924,0.00011541774,0.00014103028,0.00027735071,0.029139921],"genre_scores_gemma":[0.92153037,0.0024149918,0.05608081,0.0003032496,0.00048834423,0.00013828003,0.00015166277,0.0000616752,0.018830696],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998852,0.000032476622,0.000007980446,0.00001724817,0.000032856376,0.00002419904],"domain_scores_gemma":[0.9996692,0.00007361233,0.00012287524,0.00002365598,0.000068346744,0.000042267817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058353675,0.0006910086,0.00043432342,0.0012957988,0.00050956337,0.0010534122,0.0003974267,0.0010441412,0.0012079794],"category_scores_gemma":[0.0015882349,0.00020318002,0.00055613206,0.000624988,0.0014571921,0.0017030679,0.00071510946,0.0007634687,0.00014225718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032721815,0.000039579725,0.00046001098,0.000081528786,0.000013974053,0.0003461763,0.00041870898,0.042229403,0.009438664,0.9357848,0.0009019359,0.010252552],"study_design_scores_gemma":[0.00005083061,0.0001042684,0.00083402515,0.000049255348,0.00001170032,0.0004558437,0.00017758826,0.40638268,0.0025867135,0.58234817,0.006938957,0.000059953905],"about_ca_topic_score_codex":0.00092035916,"about_ca_topic_score_gemma":0.00056565454,"teacher_disagreement_score":0.0012957988,"about_ca_system_score_codex":0.00044821625,"about_ca_system_score_gemma":0.00046253938,"threshold_uncertainty_score":0.0040410757},"labels":[],"label_agreement":null},{"id":"W2130365600","doi":"10.1155/s0161171202111379","title":"A new triple sum combinatorial identity","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Bell (Canada)","funders":"","keywords":"Mathematics; Identity (music); Combinatorics; Triple system; Discrete mathematics; Pure mathematics","score_opus":0.06887717050153186,"score_gpt":0.36808606586318554,"score_spread":0.2992088953616537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130365600","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.080434024,0.00082356343,0.5481948,0.0021241195,0.0036670235,0.00011657516,0.00048576694,0.0012028272,0.36295125],"genre_scores_gemma":[0.7784083,0.0014515871,0.13983248,0.0036015427,0.0027844715,0.00033045246,0.001189891,0.0015851351,0.070816174],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983359,0.00021520312,0.00012822429,0.00043565358,0.0006598382,0.00022527407],"domain_scores_gemma":[0.99810237,0.00042177713,0.00017608337,0.00033988492,0.0005847104,0.00037517693],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011103172,0.0010081192,0.0011087835,0.0027254452,0.0027887311,0.003947028,0.0019028209,0.0014903239,0.01509841],"category_scores_gemma":[0.0036106175,0.00062019465,0.002052789,0.0019424834,0.0035519758,0.007217513,0.005198287,0.0040312908,0.004285426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000163127,0.00002603257,0.0001487553,0.00006888061,0.000009572135,0.00024968316,0.0001372119,0.00030329067,0.0015822066,0.98558503,0.0033683009,0.008504566],"study_design_scores_gemma":[0.000013254363,0.000032432476,0.0002327992,0.00003253452,0.00003470433,0.0009551322,0.00008247715,0.004648992,0.003226341,0.974484,0.016221158,0.000036102007],"about_ca_topic_score_codex":0.00040189648,"about_ca_topic_score_gemma":0.00037752793,"teacher_disagreement_score":0.01509841,"about_ca_system_score_codex":0.001003565,"about_ca_system_score_gemma":0.00074982614,"threshold_uncertainty_score":0.050509274},"labels":[],"label_agreement":null},{"id":"W2132294457","doi":"10.1155/s0161171204405420","title":"A commutativity‐or‐finiteness condition for rings","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Rings, Modules, and Algebras","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Commutative property; Pure mathematics; Finitely-generated abelian group; Commutative ring; Ring (chemistry); Local ring; Algebra over a field","score_opus":0.08179373009447986,"score_gpt":0.37717390826658476,"score_spread":0.2953801781721049,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2132294457","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4100275,0.0017189289,0.47548026,0.0049944934,0.0010775288,0.0003289978,0.00095335074,0.0008625338,0.10455635],"genre_scores_gemma":[0.94697064,0.00045076685,0.042803355,0.0008561445,0.00066169084,0.00024241679,0.0005037182,0.00009669065,0.0074145477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960359,0.00083253847,0.0005613234,0.0011355197,0.0007238119,0.00071097503],"domain_scores_gemma":[0.98241216,0.009786043,0.0010984365,0.002413343,0.0027006671,0.0015894506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0068308,0.0007120276,0.0012111259,0.0012981038,0.0031063978,0.004067224,0.0013092976,0.0016846403,0.011137463],"category_scores_gemma":[0.010704973,0.00075619965,0.0016974775,0.0008604279,0.0074352454,0.010802315,0.0040756017,0.00405725,0.002457618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022008002,0.00008715152,0.0011979176,0.00012371488,0.000028484395,0.00058580027,0.00092320255,0.0004818322,0.010950721,0.9767121,0.0020706935,0.0066183317],"study_design_scores_gemma":[0.00011898713,0.00018741169,0.0010541602,0.00007226219,0.00006890994,0.0014001973,0.00052402,0.004349678,0.019225571,0.95692253,0.016007623,0.00006868672],"about_ca_topic_score_codex":0.0006503961,"about_ca_topic_score_gemma":0.00043397926,"teacher_disagreement_score":0.011137463,"about_ca_system_score_codex":0.0010380973,"about_ca_system_score_gemma":0.0016926844,"threshold_uncertainty_score":0.037258506},"labels":[],"label_agreement":null},{"id":"W2136428261","doi":"10.1155/s0161171204311312","title":"On the Putnam‐Fuglede theorem","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematics 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":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Discrete mathematics; Pure mathematics; Algebra over a field","score_opus":0.061561511791838185,"score_gpt":0.3594038514746388,"score_spread":0.29784233968280066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2136428261","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15392433,0.010067362,0.50715524,0.007314905,0.002729965,0.00007360481,0.00034498225,0.0004954251,0.31789422],"genre_scores_gemma":[0.8646307,0.008303924,0.053104233,0.002166449,0.0021831219,0.00013791441,0.0003000472,0.000238841,0.06893479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961853,0.00007240965,0.000015138019,0.000078946556,0.00014479025,0.000070162576],"domain_scores_gemma":[0.9992112,0.000330682,0.00006962165,0.000107171276,0.00018287981,0.000098567674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011040084,0.00076793495,0.0006623381,0.0015436837,0.0013123201,0.0015206641,0.00091319915,0.0007813527,0.0055739805],"category_scores_gemma":[0.0026191354,0.00021021016,0.00084840896,0.0012659325,0.0031223942,0.0041778833,0.002470541,0.0024058484,0.0012716183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012131552,0.0000074550103,0.00006721057,0.000041912226,0.000004713606,0.00008212428,0.00012308963,0.0006342639,0.00076225854,0.9886601,0.0012371781,0.008367662],"study_design_scores_gemma":[0.0000037310845,0.000015789527,0.00014605356,0.000011951123,0.0000034674272,0.00014960626,0.000024572491,0.001971083,0.00056900224,0.99036705,0.00672923,0.000008437994],"about_ca_topic_score_codex":0.00071751606,"about_ca_topic_score_gemma":0.00046063488,"teacher_disagreement_score":0.0055739805,"about_ca_system_score_codex":0.00089854485,"about_ca_system_score_gemma":0.0004715554,"threshold_uncertainty_score":0.018646836},"labels":[],"label_agreement":null},{"id":"W2138083439","doi":"10.1155/s0161171200001952","title":"Exact solutions of steady plane flows using (<i>r</i>, <i>ψ</i>)‐coordinates","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Computational Fluid Dynamics and Aerodynamics","field":"Engineering","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 Windsor; University of Regina","funders":"","keywords":"Mathematics; Algorithm; Combinatorics","score_opus":0.01905538618893886,"score_gpt":0.2603139246818868,"score_spread":0.24125853849294793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2138083439","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":[0.5511077,0.0013943142,0.40575334,0.0002991164,0.00009798262,0.000116157455,0.00060287677,0.00033537182,0.040293258],"genre_scores_gemma":[0.892818,0.0014083224,0.097506486,0.00005733182,0.000056985406,0.000119701675,0.00044320704,0.00009149182,0.007498524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99986863,0.000022419668,0.000009859843,0.000017718781,0.000048365648,0.000032978794],"domain_scores_gemma":[0.9997876,0.00005207616,0.00005492916,0.000018743287,0.00007173452,0.000014928623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000318376,0.0006155789,0.00037711105,0.0008050171,0.00042882568,0.0010260401,0.00047797823,0.00067952974,0.0024961648],"category_scores_gemma":[0.0012143286,0.0003421998,0.00039316365,0.0007340774,0.0007951235,0.0009151493,0.0006176382,0.00042987446,0.0005933023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017914239,0.00009790231,0.0029532153,0.00042121255,0.000049939747,0.0008567823,0.0010078048,0.389823,0.046419036,0.5051571,0.0027873432,0.050247516],"study_design_scores_gemma":[0.00013308096,0.00017667038,0.001896616,0.00011257121,0.000029428162,0.0005924213,0.00063009985,0.8034322,0.026315754,0.16068739,0.0059218155,0.00007196151],"about_ca_topic_score_codex":0.0015549739,"about_ca_topic_score_gemma":0.001110798,"teacher_disagreement_score":0.0024961648,"about_ca_system_score_codex":0.00044205092,"about_ca_system_score_gemma":0.00047169902,"threshold_uncertainty_score":0.0083504915},"labels":[],"label_agreement":null},{"id":"W2139592001","doi":"10.1155/s0161171201010900","title":"Continued fractions and class number two","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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 Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quadratic equation; Binary quadratic form; Quadratic field; Class number; Class field theory; Solving quadratic equations with continued fractions; Norm (philosophy); Class (philosophy); Ideal (ethics); Quadratic function; Algebraic number field; Discrete mathematics; Field (mathematics); Pure mathematics; Combinatorics; Algebra over a field; Computer science; Law; Geometry","score_opus":0.07761741288050718,"score_gpt":0.4280972280736254,"score_spread":0.3504798151931182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139592001","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":[0.3711957,0.0059196632,0.17922857,0.007736152,0.0014097114,0.000110391964,0.00023562777,0.00036790236,0.43379626],"genre_scores_gemma":[0.96740746,0.00096533773,0.012195458,0.00021475357,0.00061885576,0.000051824754,0.0000850876,0.000039479695,0.01842178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992944,0.00018374399,0.000035312,0.00012350667,0.0002259092,0.00013717108],"domain_scores_gemma":[0.9980089,0.00085679436,0.000319322,0.0002048871,0.00026304685,0.0003470171],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013624649,0.00056253746,0.00041112202,0.002822496,0.0013737639,0.0028365124,0.00045157145,0.0006301062,0.005699213],"category_scores_gemma":[0.0037286598,0.00014094973,0.00047593756,0.0010158278,0.005312883,0.0050797528,0.0018224325,0.0016227405,0.000573991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057691823,0.0000030843212,0.00010081433,0.0000075612406,8.561975e-7,0.00002070979,0.00007475334,0.00016278765,0.0001522489,0.9973671,0.0002473814,0.0018569519],"study_design_scores_gemma":[0.000007041654,0.0000113784,0.00022190686,0.00001166069,0.0000015209833,0.000059372866,0.000057457975,0.00120642,0.00022350081,0.9916306,0.0065622577,0.000006894362],"about_ca_topic_score_codex":0.0006528672,"about_ca_topic_score_gemma":0.0004009001,"teacher_disagreement_score":0.005699213,"about_ca_system_score_codex":0.001978806,"about_ca_system_score_gemma":0.00056551414,"threshold_uncertainty_score":0.019065797},"labels":[],"label_agreement":null},{"id":"W2140984997","doi":"10.1155/s0161171203202118","title":"Complexity of terms, composition, and hypersubstitution","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Polynomial and algebraic computation","field":"Computer Science","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 Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Corollary; Normalization (sociology); Composition (language); Term (time); Computational complexity theory; Variety (cybernetics); Variable (mathematics); Discrete mathematics; Combinatorics; Algorithm; Statistics; Mathematical analysis","score_opus":0.04219248095249311,"score_gpt":0.29075163717523606,"score_spread":0.24855915622274294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140984997","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39508542,0.0014902011,0.54446226,0.0018669895,0.000108232765,0.00022006704,0.0006810722,0.0005154257,0.055570345],"genre_scores_gemma":[0.86784923,0.0008258424,0.12148048,0.00015789016,0.0002479809,0.0003012855,0.00059726107,0.00020900616,0.008331085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952786,0.00052581576,0.00037689874,0.0006667152,0.0026192889,0.0005327588],"domain_scores_gemma":[0.98481005,0.009810196,0.0018317252,0.0015784856,0.0013667321,0.00060276594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020435865,0.000605507,0.00081320497,0.0028610253,0.001706563,0.005932399,0.0016642981,0.001325449,0.0070370133],"category_scores_gemma":[0.018137004,0.00067453337,0.0016952656,0.002898642,0.0047174264,0.015527195,0.0041767284,0.0023402828,0.00056406343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018137395,0.000043261443,0.005226983,0.00025935192,0.000046278525,0.00018915764,0.00081409904,0.034322303,0.005416383,0.9146806,0.0011151098,0.037705023],"study_design_scores_gemma":[0.000013686275,0.00003934453,0.0017358738,0.00004333342,0.000030963092,0.00026561826,0.00020586024,0.07337838,0.005580968,0.9144112,0.0042434293,0.000051408308],"about_ca_topic_score_codex":0.0022198616,"about_ca_topic_score_gemma":0.0022923006,"teacher_disagreement_score":0.0070370133,"about_ca_system_score_codex":0.0036744287,"about_ca_system_score_gemma":0.0016578836,"threshold_uncertainty_score":0.026660025},"labels":[],"label_agreement":null},{"id":"W2141315537","doi":"10.1155/ijmms.2005.1135","title":"Dual series equations involving generalized Laguerre polynomials","year":2005,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical functions and polynomials","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","funders":"","keywords":"Mathematics; Laguerre polynomials; Laguerre's method; Series (stratigraphy); Dual (grammatical number); Pure mathematics; Algebra over a field; Classical orthogonal polynomials; Orthogonal polynomials; Applied mathematics","score_opus":0.07770548108806156,"score_gpt":0.3553225359649041,"score_spread":0.2776170548768425,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141315537","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3051075,0.0031951207,0.49075118,0.0036979173,0.0030556999,0.00019913327,0.00036237465,0.00039171916,0.19323933],"genre_scores_gemma":[0.8212399,0.0021163537,0.07738856,0.00072780676,0.0011905256,0.00014353072,0.0003106314,0.00021419447,0.09666853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99968135,0.00008036556,0.000015772875,0.000043370677,0.00011431228,0.000064946544],"domain_scores_gemma":[0.99964476,0.000060863935,0.000060628387,0.00004521587,0.00010103367,0.00008740835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052845845,0.0010434347,0.0011652007,0.0015889549,0.0011414324,0.0021584313,0.00074336136,0.0015468752,0.0075591863],"category_scores_gemma":[0.0017181295,0.00034827623,0.0010855073,0.0011290229,0.0014333193,0.0026006768,0.0017208526,0.00278696,0.0015085966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028986584,0.000023878281,0.00013761787,0.000043407952,0.0000092934115,0.00021890628,0.00007790321,0.0031204794,0.0028581913,0.9870683,0.001194386,0.0052187005],"study_design_scores_gemma":[0.00004565175,0.00003131333,0.00017061766,0.000036697606,0.00001738255,0.0005072102,0.0001858965,0.09474169,0.0027454614,0.89338005,0.008096328,0.00004171945],"about_ca_topic_score_codex":0.0007833361,"about_ca_topic_score_gemma":0.0011198785,"teacher_disagreement_score":0.0075591863,"about_ca_system_score_codex":0.0009166495,"about_ca_system_score_gemma":0.00090430677,"threshold_uncertainty_score":0.025287986},"labels":[],"label_agreement":null},{"id":"W2143131132","doi":"10.1155/s0161171204308227","title":"The axisymmetric Boussinesq‐type problem for a half‐space under optimal heating of arbitrary profile","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Numerical methods in engineering","field":"Engineering","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":"Brock University; University of Calgary","funders":"","keywords":"Mathematics; Laplace transform; Rotational symmetry; Mathematical analysis; Space (punctuation); Type (biology); Hankel transform; Transient (computer programming); Thermal; Geometry; Meteorology; Physics; Bessel function; Geology","score_opus":0.02631802287848542,"score_gpt":0.31187694348759226,"score_spread":0.2855589206091068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143131132","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07702717,0.00065134076,0.9049218,0.000648148,0.00007542711,0.00010726817,0.00017023068,0.0001023438,0.016296305],"genre_scores_gemma":[0.83418554,0.0011529486,0.13641913,0.0001511088,0.000106165935,0.00039813004,0.00027116266,0.0002104007,0.027105395],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9997602,0.000071576884,0.000008483473,0.00004588187,0.000077595345,0.000036254587],"domain_scores_gemma":[0.9994948,0.00029921066,0.0000696543,0.000020984698,0.00008700388,0.00002829736],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001075302,0.00048306654,0.00076970656,0.00046989246,0.0005686136,0.0011248259,0.0006331921,0.0015262426,0.0028799223],"category_scores_gemma":[0.0020017629,0.0004807438,0.00044457527,0.00039168668,0.0013928787,0.0011763687,0.00076138024,0.0007142815,0.00031207266],"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":[0.00011532287,0.000028404127,0.00065059104,0.00027526487,0.000021581083,0.00027949808,0.0002178029,0.86352926,0.0119123785,0.10610613,0.0014699852,0.015393859],"study_design_scores_gemma":[0.000020791873,0.000029494391,0.00034388268,0.000017702128,0.0000061024484,0.00010824495,0.000070869115,0.9737752,0.0020948271,0.021874921,0.0016437196,0.000014202047],"about_ca_topic_score_codex":0.004324105,"about_ca_topic_score_gemma":0.0023041,"teacher_disagreement_score":0.004324105,"about_ca_system_score_codex":0.0008540314,"about_ca_system_score_gemma":0.0014186477,"threshold_uncertainty_score":0.009634256},"labels":[],"label_agreement":null},{"id":"W2143752813","doi":"10.1155/s0161171203207109","title":"Sectional representation of Banach modules and their multipliers","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Trinity College","funders":"","keywords":"Mathematics; Representation (politics); Banach space; Pure mathematics; Algebra over a field","score_opus":0.04893926675753794,"score_gpt":0.353909207423346,"score_spread":0.304969940665808,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2143752813","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":[0.6375389,0.0014796788,0.30462855,0.0012628236,0.0002112033,0.000051097402,0.00019620673,0.00021373139,0.05441779],"genre_scores_gemma":[0.9509381,0.0008857264,0.027419263,0.0001891911,0.0002530896,0.00008223625,0.00019432128,0.00005840317,0.0199796],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961746,0.00011632868,0.000021626858,0.00006797147,0.00010028025,0.00007626839],"domain_scores_gemma":[0.99917245,0.00017761654,0.0002248292,0.00006212978,0.0001418713,0.00022105516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008893454,0.0004240604,0.00028015915,0.0015914099,0.00054541096,0.0018304513,0.0004955199,0.00044596937,0.0041937083],"category_scores_gemma":[0.0019110561,0.00034448682,0.0005067818,0.0007368694,0.0017019899,0.003248513,0.0018126362,0.001198911,0.00050431],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001543725,0.000007084349,0.00022497006,0.00000978655,0.000005048289,0.000035649246,0.00017884116,0.0005469808,0.0011642427,0.99498737,0.00019217272,0.0026322934],"study_design_scores_gemma":[0.000015101927,0.000077208206,0.0009237339,0.00002153367,0.000012588696,0.00026882088,0.00016802321,0.014025657,0.0019582303,0.97527665,0.0072301696,0.000022377108],"about_ca_topic_score_codex":0.00026912612,"about_ca_topic_score_gemma":0.00014248565,"teacher_disagreement_score":0.0041937083,"about_ca_system_score_codex":0.00070939754,"about_ca_system_score_gemma":0.00040232931,"threshold_uncertainty_score":0.014029324},"labels":[],"label_agreement":null},{"id":"W2145571322","doi":"10.1155/s0161171204305193","title":"On defining the product <i>r</i><sup>−<i>k</i></sup> · ∇<sup><i>l</i></sup><i>δ</i>","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical and Theoretical 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":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Mathematical Society","keywords":"Mathematics; Combinatorics; Product (mathematics); Normalization (sociology); Differentiable function; Pure mathematics; Geometry","score_opus":0.02470646224480554,"score_gpt":0.29823969316056587,"score_spread":0.2735332309157603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145571322","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022409538,0.00030421806,0.95848525,0.00036219845,0.00020970966,0.000043522257,0.00009470465,0.00056565047,0.01752525],"genre_scores_gemma":[0.17523251,0.0009160786,0.80671775,0.00041002192,0.00017697446,0.00017067531,0.0001754521,0.0016588508,0.014541678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994679,0.000088349036,0.000048260492,0.00012214035,0.00022306298,0.000050366652],"domain_scores_gemma":[0.99907327,0.00025499432,0.00014521311,0.00017333536,0.000291595,0.00006160819],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014298728,0.00056402787,0.0004401562,0.00067712326,0.00047653884,0.0013808359,0.0013476111,0.00054288126,0.0054671327],"category_scores_gemma":[0.0035334595,0.0002645164,0.00056315685,0.000841056,0.0023070702,0.0033332554,0.0013276385,0.0017077773,0.0026846027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000629782,0.00003876686,0.0011510174,0.00025971807,0.000016576972,0.00033112016,0.000608061,0.005217047,0.017344503,0.8990568,0.0029298912,0.072983444],"study_design_scores_gemma":[0.000032875574,0.00021512137,0.002280764,0.00012293454,0.000044655084,0.002057676,0.00037698844,0.09483954,0.04338029,0.7714722,0.085084856,0.00009208373],"about_ca_topic_score_codex":0.0007529577,"about_ca_topic_score_gemma":0.0013820963,"teacher_disagreement_score":0.0054671327,"about_ca_system_score_codex":0.00055448624,"about_ca_system_score_gemma":0.0006432805,"threshold_uncertainty_score":0.018289447},"labels":[],"label_agreement":null},{"id":"W2146500134","doi":"10.1155/2012/515192","title":"Maximum Likelihood Estimators for a Supercritical Branching Diffusion Process","year":2012,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Stochastic processes and statistical mechanics","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":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Semimartingale; Branching process; Girsanov theorem; Diffusion process; Applied mathematics; Fisher information; Estimator; Supercritical fluid; Branching (polymer chemistry); Monotonic function; Statistical physics; Statistics; Mathematical analysis; Stochastic differential equation; Thermodynamics; Computer science","score_opus":0.049940779556868486,"score_gpt":0.38510302156596277,"score_spread":0.3351622420090943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2146500134","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":[0.038349073,0.00032822188,0.9599628,0.00022587377,0.000010423988,0.000026723787,0.00007338645,0.00014429435,0.00087926444],"genre_scores_gemma":[0.7868711,0.00085538346,0.2066225,0.00009533041,0.000085796346,0.00018850202,0.0005484712,0.00012703612,0.0046058455],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915195,0.00046573498,0.00003626468,0.00016048652,0.00012734914,0.000058244274],"domain_scores_gemma":[0.98777974,0.010178669,0.0010268418,0.00031549163,0.00047183098,0.0002274823],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003919246,0.00069665414,0.00097377895,0.0015049794,0.00041651478,0.0016914175,0.0013744746,0.0013964649,0.0016736351],"category_scores_gemma":[0.02583633,0.0005380356,0.0005764081,0.00090045313,0.0013885556,0.001966422,0.0016207981,0.0013851488,0.00038168067],"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":[0.00022024802,0.000084900305,0.005091525,0.00024282547,0.000115951276,0.00023874946,0.00022268237,0.6761883,0.004782418,0.25949714,0.0011361324,0.05217914],"study_design_scores_gemma":[0.0000144994765,0.000013609987,0.00049226196,0.000015671962,0.000009265463,0.000047078633,0.000015902402,0.939461,0.00056853815,0.059100263,0.00024182738,0.00002008964],"about_ca_topic_score_codex":0.0011960503,"about_ca_topic_score_gemma":0.0010227774,"teacher_disagreement_score":0.003919246,"about_ca_system_score_codex":0.00096474146,"about_ca_system_score_gemma":0.0010238888,"threshold_uncertainty_score":0.020727217},"labels":[],"label_agreement":null},{"id":"W2148083244","doi":"10.1155/2012/178390","title":"Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections","year":2012,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":11,"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; Connection (principal bundle); Pure mathematics; Invariant (physics); Quarter (Canadian coin); Product (mathematics); Riemannian manifold; Manifold (fluid mechanics); Mathematical analysis; Geometry; Mathematical physics","score_opus":0.04124764839093486,"score_gpt":0.31295035476895944,"score_spread":0.27170270637802457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148083244","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":[0.9360123,0.00022878835,0.04860367,0.00024682775,0.000038417376,0.00003301313,0.00010310047,0.00006703899,0.014666955],"genre_scores_gemma":[0.9871631,0.00014948165,0.006664056,0.00003353698,0.000046615245,0.000019191051,0.000111721085,0.000026942993,0.00578546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998554,0.000020068956,0.0000068950667,0.000030470806,0.00006028228,0.000026788854],"domain_scores_gemma":[0.99969065,0.000029822808,0.00007785181,0.000030866537,0.00008055054,0.00009035267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020046078,0.0004558501,0.00031377465,0.0013694819,0.0006852412,0.00094471936,0.0004490626,0.00042932283,0.0027067377],"category_scores_gemma":[0.00061321934,0.00016263976,0.00037662245,0.00035142404,0.001322166,0.0013917808,0.0009323086,0.0006628781,0.00023616778],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053792937,0.000048317772,0.002579436,0.000040312378,0.00001815954,0.0006686105,0.00038782807,0.003781292,0.01729647,0.9660732,0.0006004917,0.008452009],"study_design_scores_gemma":[0.000044318313,0.00017010298,0.007243717,0.000021726426,0.000021074447,0.0021170173,0.00066163286,0.0803785,0.006012141,0.8949039,0.008378709,0.000047190144],"about_ca_topic_score_codex":0.000719664,"about_ca_topic_score_gemma":0.00040170865,"teacher_disagreement_score":0.0027067377,"about_ca_system_score_codex":0.00048264107,"about_ca_system_score_gemma":0.0002420576,"threshold_uncertainty_score":0.009054959},"labels":[],"label_agreement":null},{"id":"W2148237572","doi":"10.1155/s0161171202108295","title":"On an <i>n</i>th‐order infinitesimal generator and time‐dependent operator differential equation with a strongly almost periodic solution","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Mathematical Modeling in Engineering","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":"Vanier College","funders":"","keywords":"Mathematics; Infinitesimal; Generator (circuit theory); Banach space; Mathematical analysis; Operator (biology); Forcing (mathematics); Order (exchange); Differential equation; C0-semigroup; Almost periodic function; Differential operator; Periodic function; Power (physics)","score_opus":0.025936053231639916,"score_gpt":0.25939836613559175,"score_spread":0.23346231290395184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2148237572","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":[0.5257333,0.0008198142,0.44854933,0.001421393,0.00027792194,0.00011596321,0.0001863326,0.00010177142,0.02279416],"genre_scores_gemma":[0.9289312,0.0008800534,0.045787644,0.00020483808,0.00016307352,0.00015308094,0.00019964071,0.00004963293,0.023630803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996947,0.00007885761,0.00001754551,0.00007140435,0.000090157904,0.000047347494],"domain_scores_gemma":[0.999432,0.00018006594,0.00016030844,0.000023829292,0.00010667099,0.00009701525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007671473,0.00082992646,0.0006883361,0.0007813404,0.0006611868,0.00077089126,0.0007418102,0.0008795052,0.0017180411],"category_scores_gemma":[0.0012009792,0.00026911276,0.0007269367,0.00043992454,0.0021477093,0.0011466208,0.0011797054,0.00075252086,0.00024860643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017703067,0.00009232002,0.0019443943,0.0002993383,0.000060083978,0.00147698,0.00072985434,0.048851464,0.043624472,0.8896164,0.0012001427,0.011927489],"study_design_scores_gemma":[0.00006807238,0.00037272656,0.0030924277,0.00006562378,0.000036535686,0.0013433849,0.0004152464,0.6272391,0.009522224,0.3538429,0.0038614525,0.0001403246],"about_ca_topic_score_codex":0.001531283,"about_ca_topic_score_gemma":0.0009946228,"teacher_disagreement_score":0.0017180411,"about_ca_system_score_codex":0.00071514654,"about_ca_system_score_gemma":0.001098382,"threshold_uncertainty_score":0.0057474375},"labels":[],"label_agreement":null},{"id":"W2149897886","doi":"10.1155/s0161171200004245","title":"A note on centralizers","year":2000,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Rings, Modules, and Algebras","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":"Brock University","funders":"","keywords":"Mathematics; Pure mathematics","score_opus":0.043109239627652354,"score_gpt":0.3365165539708617,"score_spread":0.2934073143432094,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2149897886","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":[0.17947681,0.048540946,0.21108069,0.044556104,0.010921323,0.00012057914,0.0005873137,0.000809566,0.5039067],"genre_scores_gemma":[0.868287,0.009429804,0.03900559,0.0046669566,0.009617643,0.00013573325,0.00017046467,0.00024332532,0.06844342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986903,0.00039950572,0.00007475507,0.00033071017,0.00025183058,0.0002528847],"domain_scores_gemma":[0.9977047,0.0011129577,0.00013241913,0.00035516266,0.00039113394,0.00030361552],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028877326,0.0004423437,0.00092765805,0.0016296454,0.0027309903,0.003084176,0.0010304168,0.00086127565,0.0055350256],"category_scores_gemma":[0.002862002,0.0003182719,0.0008046098,0.0011299073,0.0066996478,0.010594154,0.004128779,0.004151859,0.0009812107],"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":[0.000020859738,0.000009383785,0.00022304263,0.00003524137,0.000003308696,0.000049590584,0.0004164788,0.00010130844,0.00064963265,0.9908745,0.0035256345,0.004090966],"study_design_scores_gemma":[0.000015795062,0.00007666926,0.000815385,0.00007379647,0.000014928289,0.00028846096,0.0005572172,0.001089118,0.00300826,0.88241506,0.11162094,0.000024396237],"about_ca_topic_score_codex":0.0010074328,"about_ca_topic_score_gemma":0.001002491,"teacher_disagreement_score":0.0055350256,"about_ca_system_score_codex":0.0014385079,"about_ca_system_score_gemma":0.0007585352,"threshold_uncertainty_score":0.01851654},"labels":[],"label_agreement":null},{"id":"W2150911897","doi":"10.1155/s0161171201005750","title":"Play‐the‐winner rule and adaptive designs of clinical trials","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Statistical Methods in Clinical Trials","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":"Memorial University of Newfoundland; University of Manitoba","funders":"Faculty of Medicine, Memorial University of Newfoundland; Memorial University of Newfoundland","keywords":"Interchangeability; Regret; Simple (philosophy); Mathematics; Adaptive design; Mathematical optimization; Clinical trial; Artificial intelligence; Computer science; Statistics; Medicine","score_opus":0.8463739361824619,"score_gpt":0.6613213619018622,"score_spread":0.18505257428059974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150911897","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":"methods","model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":"methods","domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014420515,0.0005667771,0.972875,0.0036357231,0.00036935584,0.0013060436,0.00010815634,0.00011100708,0.006607254],"genre_scores_gemma":[0.4580972,0.00062112795,0.52416384,0.003109177,0.0004075048,0.008331718,0.0001143794,0.00007027363,0.005084756],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.73574746,0.2383331,0.0043976847,0.008471486,0.01105572,0.0019945009],"domain_scores_gemma":[0.7567706,0.19034874,0.020916516,0.02431604,0.0053192037,0.0023288885],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.18071243,0.0025409698,0.00404492,0.0014212609,0.0013567262,0.003628854,0.003737456,0.0062518115,0.007967929],"category_scores_gemma":[0.25718346,0.0013632203,0.0028387452,0.0012663872,0.0105183665,0.0063514886,0.0035979948,0.007578281,0.0011931168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013237427,0.00021824201,0.001382763,0.00029397628,0.0003942801,0.00011036703,0.0004059013,0.018611183,0.0005929526,0.9446679,0.0013301454,0.030668594],"study_design_scores_gemma":[0.0015615167,0.001133959,0.00056716043,0.00009806286,0.0001131801,0.00008475828,0.000054917862,0.08875996,0.0006293924,0.9032977,0.0036360612,0.00006327104],"about_ca_topic_score_codex":0.000481186,"about_ca_topic_score_gemma":0.00036630957,"teacher_disagreement_score":0.81928754,"about_ca_system_score_codex":0.0025079802,"about_ca_system_score_gemma":0.0033760206,"threshold_uncertainty_score":0.9557101},"labels":[],"label_agreement":null},{"id":"W2153549760","doi":"10.1155/s0161171201005701","title":"Asymptotic analysis of American call options","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","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":"Western University","funders":"","keywords":"Expiration; Mathematics; Boundary (topology); Free boundary problem; Call option; Constraint (computer-aided design); Put option; Obligation; Boundary value problem; Mathematical economics; Value (mathematics); Optimal stopping; Option value; Mathematical analysis; Mathematical optimization; Actuarial science; Econometrics; Economics; Medicine; Statistics; Microeconomics; Geometry; Law","score_opus":0.03575179174804222,"score_gpt":0.2917059701625908,"score_spread":0.2559541784145486,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153549760","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19493805,0.0076984093,0.70863676,0.0036006952,0.00048075517,0.000074099786,0.00026829296,0.0007507589,0.083552204],"genre_scores_gemma":[0.9653366,0.0027362977,0.014527339,0.00042795038,0.0004890405,0.00011795086,0.00030371445,0.00017109781,0.01588994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990721,0.00032972626,0.00003704609,0.000096217525,0.00032394758,0.00014102049],"domain_scores_gemma":[0.99323845,0.0038861418,0.00066437625,0.00040066647,0.0012581125,0.000552162],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002583713,0.00061130244,0.00082447426,0.0017171762,0.0007516712,0.0015874979,0.0010669134,0.0013075243,0.006316639],"category_scores_gemma":[0.022451745,0.0003581062,0.0008725421,0.0008612789,0.0025195288,0.0025774827,0.0018603047,0.0021441337,0.0007043137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007149202,0.00005599979,0.0017922677,0.00010985955,0.000043727377,0.00023599334,0.0001655506,0.08550308,0.0024513777,0.8909963,0.004154145,0.01442022],"study_design_scores_gemma":[0.000013847083,0.00003186,0.0016967452,0.00006572254,0.000023426048,0.00014778803,0.00007018662,0.6126062,0.00047193657,0.38209793,0.0027363598,0.000037871112],"about_ca_topic_score_codex":0.004038039,"about_ca_topic_score_gemma":0.0018773896,"teacher_disagreement_score":0.006316639,"about_ca_system_score_codex":0.0014534184,"about_ca_system_score_gemma":0.0010994928,"threshold_uncertainty_score":0.021131217},"labels":[],"label_agreement":null},{"id":"W2154549693","doi":"10.1155/2009/909835","title":"First Hitting Place Probabilities for a Discrete Version of the Ornstein‐Uhlenbeck Process","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Stochastic processes and statistical mechanics","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":"Polytechnique Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.03614922722805434,"score_gpt":0.3445163983825467,"score_spread":0.30836717115449236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154549693","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30236676,0.0013379997,0.6810202,0.0008660614,0.00030191953,0.00009267713,0.0002854768,0.00035030578,0.013378613],"genre_scores_gemma":[0.9536183,0.0007886934,0.03369353,0.00009231102,0.00014927947,0.00014026706,0.00027152244,0.000110762245,0.011135377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99877983,0.0002906968,0.000066622466,0.00025935937,0.00032300828,0.00028039853],"domain_scores_gemma":[0.99271625,0.0047202804,0.00080527226,0.0005233808,0.00059276255,0.0006419903],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033916072,0.0009305337,0.0014363991,0.0020328793,0.001532404,0.0037781927,0.002651725,0.002184889,0.008249912],"category_scores_gemma":[0.009515939,0.00060516346,0.0015242326,0.0012821875,0.003724767,0.0041186255,0.0018531245,0.0036564593,0.0007262155],"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":[0.00009902197,0.0000573729,0.001322497,0.000069063375,0.000028725226,0.00037426746,0.00023556629,0.14412265,0.0019046364,0.8461686,0.000656011,0.004961592],"study_design_scores_gemma":[0.000034311626,0.000047429763,0.000644547,0.000030043002,0.00002834471,0.00019564248,0.00005866532,0.7106031,0.0011447968,0.2862653,0.00086658256,0.00008120125],"about_ca_topic_score_codex":0.0025485768,"about_ca_topic_score_gemma":0.0016038059,"teacher_disagreement_score":0.008249912,"about_ca_system_score_codex":0.0022033113,"about_ca_system_score_gemma":0.0013757829,"threshold_uncertainty_score":0.027598679},"labels":[],"label_agreement":null},{"id":"W2157050838","doi":"10.1155/s0161171204306277","title":"On a higher‐order evolution equation with a Stepanov‐bounded solution","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Nonlinear Differential Equations Analysis","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":"Vanier College","funders":"","keywords":"Mathematics; Banach space; Bounded function; Generator (circuit theory); Order (exchange); Infinitesimal; Space (punctuation); Mathematical analysis; Pure mathematics; Combinatorics; Physics","score_opus":0.05939983756849337,"score_gpt":0.3397789914370703,"score_spread":0.2803791538685769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157050838","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":[0.6477052,0.0016830204,0.32810596,0.001674345,0.00019999982,0.00011822191,0.0001475684,0.00010549005,0.020260204],"genre_scores_gemma":[0.9498602,0.0010177268,0.031223195,0.0002004669,0.000121742705,0.00015145636,0.00012910053,0.00003720117,0.01725892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997733,0.00006716302,0.000013002873,0.000045427656,0.000058111556,0.000042973716],"domain_scores_gemma":[0.9992506,0.00030195044,0.00019108158,0.000029316867,0.00009625748,0.00013083141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008087449,0.00096038484,0.00094193366,0.0008063387,0.00077905646,0.0011618137,0.0007514725,0.0016052786,0.0018021625],"category_scores_gemma":[0.001722914,0.00040930457,0.0010633696,0.0005474292,0.0021904267,0.0013730995,0.001696274,0.0012464556,0.00024251013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024792764,0.00013600533,0.0030654946,0.00045543612,0.0001394762,0.001868167,0.00095372146,0.20254089,0.04070778,0.7407802,0.00077607867,0.008328875],"study_design_scores_gemma":[0.00008266145,0.0003126756,0.0014496839,0.000059948696,0.000041135037,0.00040880952,0.00024592303,0.8528299,0.00325755,0.13880083,0.0024352956,0.0000755607],"about_ca_topic_score_codex":0.0040221154,"about_ca_topic_score_gemma":0.0018874598,"teacher_disagreement_score":0.0040221154,"about_ca_system_score_codex":0.0009151637,"about_ca_system_score_gemma":0.0013551293,"threshold_uncertainty_score":0.007997394},"labels":[],"label_agreement":null},{"id":"W2157265006","doi":"10.1155/s0161171202012899","title":"On constrained uniform approximation","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Numerical Methods and Algorithms","field":"Computer Science","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":"King Fahd University of Petroleum and Minerals; University of Alberta","keywords":"Mathematics; Generalization; Uniqueness; Hermite polynomials; Convergence (economics); Applied mathematics; Work (physics); Calculus (dental); Mathematical analysis","score_opus":0.04508577417861007,"score_gpt":0.3144215874656488,"score_spread":0.2693358132870387,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157265006","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012960487,0.0020017591,0.9693322,0.00045696198,0.00020030643,0.0000385021,0.00009710697,0.0000864635,0.014826268],"genre_scores_gemma":[0.60671544,0.006929178,0.34578994,0.0010555385,0.0009823306,0.00041863875,0.00055996556,0.0004333913,0.037115622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991054,0.00038429245,0.0000354555,0.00015418496,0.00023220456,0.00008838372],"domain_scores_gemma":[0.9984816,0.0009972543,0.00011630825,0.00015143293,0.00018172333,0.00007171135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017416808,0.0009241209,0.0012003536,0.0008356554,0.0006465298,0.0015680627,0.0011157953,0.0014408599,0.004678757],"category_scores_gemma":[0.008340486,0.00039193546,0.00059494615,0.00111995,0.0019740476,0.0019855506,0.0029814637,0.0014371654,0.000505065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013127913,0.000029281106,0.0003004906,0.00025504033,0.000038181202,0.00013031218,0.00010759027,0.20414023,0.0022288545,0.7506616,0.0037291227,0.038248066],"study_design_scores_gemma":[0.000014792812,0.000040656407,0.00017139135,0.000056382232,0.000014487448,0.000070066315,0.000037957063,0.7706187,0.0010373683,0.22137026,0.0065507162,0.000017286504],"about_ca_topic_score_codex":0.002616739,"about_ca_topic_score_gemma":0.0014187273,"teacher_disagreement_score":0.004678757,"about_ca_system_score_codex":0.0007971525,"about_ca_system_score_gemma":0.0006224349,"threshold_uncertainty_score":0.015652},"labels":[],"label_agreement":null},{"id":"W2160732915","doi":"10.1155/s016117120330328x","title":"On some center‐like subsets of groups","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Center (category theory); Commutative property; Group (periodic table); Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.07905967613505792,"score_gpt":0.375530452839974,"score_spread":0.29647077670491606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160732915","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":[0.89879364,0.0005378908,0.07398726,0.00039361563,0.000052580075,0.000044992354,0.00021372733,0.00009899144,0.025877235],"genre_scores_gemma":[0.9887059,0.00021996626,0.007867208,0.00008861914,0.000086309665,0.000061489154,0.00028767966,0.000030019823,0.0026527545],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999479,0.00013666623,0.00003167412,0.00014027458,0.00010908147,0.00010325371],"domain_scores_gemma":[0.9980578,0.00081332406,0.00032927,0.00018176473,0.00029169535,0.0003261043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083182775,0.00032587358,0.0006839041,0.0015538669,0.0018029397,0.001872846,0.00059408596,0.0005768275,0.0034008843],"category_scores_gemma":[0.0021418524,0.00024327623,0.0006076773,0.00096331,0.0022677104,0.002982595,0.0011825727,0.00068132824,0.00025019536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011176299,0.000027552487,0.0014344694,0.00006641507,0.00001698313,0.00022881113,0.00081762753,0.0011113903,0.0061468477,0.9862882,0.00055622,0.0031937528],"study_design_scores_gemma":[0.000073987954,0.00022925307,0.0040970203,0.00005536613,0.000061993705,0.0008117401,0.0021142,0.021688992,0.010347659,0.95205414,0.008421846,0.000043777585],"about_ca_topic_score_codex":0.0005824091,"about_ca_topic_score_gemma":0.00044608206,"teacher_disagreement_score":0.0034008843,"about_ca_system_score_codex":0.00093339523,"about_ca_system_score_gemma":0.00035059985,"threshold_uncertainty_score":0.011377096},"labels":[],"label_agreement":null},{"id":"W2161278739","doi":"10.1155/s016117120320418x","title":"On a thin set of integers involving the largest prime factor function","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Analytic Number Theory 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":"Université de Montréal; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Computer science","score_opus":0.09539707580243625,"score_gpt":0.3814569285562197,"score_spread":0.28605985275378343,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2161278739","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":[0.82208395,0.0012882662,0.12891318,0.0011209185,0.00014482597,0.00007149196,0.0005667868,0.00025278097,0.04555774],"genre_scores_gemma":[0.94961154,0.0009708531,0.03982234,0.0002746712,0.00021452662,0.00018475828,0.0008154239,0.000091116446,0.008014751],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900335,0.00020112922,0.000058343958,0.00020461768,0.00028611452,0.00024652033],"domain_scores_gemma":[0.995191,0.0028761218,0.0006627772,0.00037532882,0.00033278193,0.0005619636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014552895,0.0010192372,0.0019034558,0.002788197,0.0038714204,0.0035847675,0.0016518562,0.0013316694,0.0051404033],"category_scores_gemma":[0.007320855,0.00084612897,0.0011196865,0.0018899577,0.0040235617,0.0047708913,0.0026655684,0.0016687386,0.0007770549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000397709,0.00004457119,0.0020885644,0.00012420883,0.000030065676,0.0008348599,0.00064446277,0.006594562,0.0039020674,0.97691727,0.0014840927,0.0069374945],"study_design_scores_gemma":[0.00007265178,0.000082770675,0.0016152225,0.00014624481,0.000041334555,0.0010692461,0.0004020657,0.044368338,0.0029995155,0.9447122,0.0044380217,0.000052389634],"about_ca_topic_score_codex":0.0011418032,"about_ca_topic_score_gemma":0.00073925656,"teacher_disagreement_score":0.0051404033,"about_ca_system_score_codex":0.0016231324,"about_ca_system_score_gemma":0.00064211484,"threshold_uncertainty_score":0.017196357},"labels":[],"label_agreement":null},{"id":"W2164838583","doi":"10.1155/s0161171203211467","title":"Gaussian quadrature rules and <i>A</i>‐stability of Galerkin schemes for ODE","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Differential Equations and Numerical 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":"Defence Research and Development Canada; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gaussian quadrature; Clenshaw–Curtis quadrature; Galerkin method; Ode; Quadrature (astronomy); Tanh-sinh quadrature; Gauss–Kronrod quadrature formula; Gauss–Jacobi quadrature; Numerical integration; Gauss–Laguerre quadrature; Ordinary differential equation; Adaptive quadrature; Gaussian; Legendre polynomials; Applied mathematics; Stability (learning theory); Numerical stability; Mathematical analysis; Differential equation; Numerical analysis; Nyström method; Integral equation; Control theory (sociology); Finite element method; Computer science","score_opus":0.08852070989465134,"score_gpt":0.39292868424540717,"score_spread":0.30440797435075584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164838583","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.041809183,0.0010490859,0.952785,0.00028259846,0.00011200904,0.000038581034,0.000025382491,0.00012950745,0.0037687325],"genre_scores_gemma":[0.7818707,0.0015285421,0.21206228,0.00018956534,0.000117473224,0.00018183161,0.00009707661,0.00022479176,0.0037277844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986141,0.00043264564,0.00007280808,0.00012927066,0.0006428843,0.000108281754],"domain_scores_gemma":[0.9946051,0.0028632004,0.00066995545,0.00035355773,0.0013064593,0.00020179231],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041622124,0.00055702595,0.0004948621,0.000981906,0.0006762855,0.00176908,0.0007768909,0.0010113785,0.0006725589],"category_scores_gemma":[0.011408795,0.00041785953,0.0006531339,0.00071797875,0.0028885726,0.0010772101,0.0013559673,0.0017544357,0.0003590959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024593543,0.000099241974,0.0013056332,0.00017786039,0.0000507393,0.00014892672,0.00043921318,0.2653689,0.03360427,0.640413,0.0010892444,0.057057053],"study_design_scores_gemma":[0.000023551362,0.000047430996,0.00027200615,0.000031055974,0.000008698072,0.000060573773,0.000017047645,0.89710873,0.008229513,0.09271172,0.0014653655,0.000024321313],"about_ca_topic_score_codex":0.002260885,"about_ca_topic_score_gemma":0.00071422406,"teacher_disagreement_score":0.0041622124,"about_ca_system_score_codex":0.00068985706,"about_ca_system_score_gemma":0.0010769084,"threshold_uncertainty_score":0.022012115},"labels":[],"label_agreement":null},{"id":"W2166260452","doi":"10.1155/s0161171201005191","title":"On the rate of convergence of bootstrapped means in a Banach space","year":2001,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Probability and Risk Models","field":"Decision Sciences","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 Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Banach space; Unconditional convergence; Convergence (economics); Modes of convergence (annotated index); Consistency (knowledge bases); Space (punctuation); Rate of convergence; Weak convergence; Convergence tests; Applied mathematics; Compact convergence; Pure mathematics; Discrete mathematics; Topological space; Computer science","score_opus":0.1485822106838333,"score_gpt":0.40056647194820094,"score_spread":0.2519842612643677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166260452","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0417004,0.001135952,0.94963914,0.0007008077,0.000112696944,0.000079152735,0.00017925918,0.00017439386,0.0062782033],"genre_scores_gemma":[0.714098,0.004236165,0.269075,0.00078654627,0.0006708492,0.0011045844,0.0007737687,0.0006417688,0.008613348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.994653,0.0027364301,0.00025058517,0.0007524172,0.0012452353,0.0003623572],"domain_scores_gemma":[0.8990957,0.079594865,0.004544712,0.005258416,0.009770374,0.0017360146],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.023601854,0.0013930113,0.0019038073,0.0024037904,0.0009836635,0.0026998932,0.0028184648,0.0018646289,0.004449148],"category_scores_gemma":[0.11121534,0.00082159374,0.0019695763,0.0018314918,0.0052774525,0.0069639175,0.0055908156,0.0044912896,0.0008315428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022162154,0.000042920048,0.0028453742,0.00037934,0.00015205555,0.00021206973,0.0004848271,0.057269923,0.0047178706,0.911466,0.001396864,0.02081106],"study_design_scores_gemma":[0.00004680663,0.0002916186,0.0022664957,0.0001945478,0.00008804461,0.00044908552,0.00019014634,0.42586052,0.0060294424,0.5607762,0.003699762,0.000107402106],"about_ca_topic_score_codex":0.00077281246,"about_ca_topic_score_gemma":0.00044595177,"teacher_disagreement_score":0.023601854,"about_ca_system_score_codex":0.0012864592,"about_ca_system_score_gemma":0.0013269319,"threshold_uncertainty_score":0.12482005},"labels":[],"label_agreement":null},{"id":"W2166272570","doi":"10.1155/s0161171203211133","title":"The Hermite polynomials and the Bessel functions from a general point of view","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical functions and polynomials","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 Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bessel function; Hermite polynomials; Isospectral; Bessel polynomials; Pure mathematics; Regular singular point; Point (geometry); Differential equation; Hermite interpolation; Orthogonal polynomials; Ordinary differential equation; Wilson polynomials; Algebra over a field; Discrete orthogonal polynomials; Mathematical analysis","score_opus":0.0381373887393086,"score_gpt":0.32087672731010214,"score_spread":0.28273933857079353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166272570","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19013005,0.012013016,0.6534972,0.0041192714,0.0015089598,0.00009042132,0.0002895954,0.0002523747,0.13809912],"genre_scores_gemma":[0.81188893,0.011468132,0.12546526,0.0010124076,0.0024521104,0.00016848271,0.00021422001,0.00013417006,0.047196176],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964297,0.00007028605,0.000016955406,0.00006166143,0.00014288147,0.00006529891],"domain_scores_gemma":[0.9992956,0.00024575737,0.00014049583,0.00010064954,0.00014189813,0.000075654534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080377987,0.00077760976,0.0005329006,0.001454718,0.00091587467,0.0019841688,0.00088164187,0.0013142845,0.0028391883],"category_scores_gemma":[0.002706991,0.0003234895,0.00059730286,0.0010761562,0.0023305845,0.0041683894,0.00096287695,0.0019610259,0.00047725116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005510057,0.000007522418,0.00007785851,0.000022209279,0.000001899594,0.0000716793,0.00006538935,0.0011531828,0.00093360257,0.9941671,0.00034058042,0.0031535046],"study_design_scores_gemma":[0.000005549622,0.000022520342,0.00021194486,0.000020035912,0.0000055758665,0.00042790527,0.00007693577,0.014896975,0.0008324097,0.97322005,0.010261024,0.000019061472],"about_ca_topic_score_codex":0.00060807273,"about_ca_topic_score_gemma":0.0005191799,"teacher_disagreement_score":0.0028391883,"about_ca_system_score_codex":0.0006208621,"about_ca_system_score_gemma":0.0007684035,"threshold_uncertainty_score":0.009498},"labels":[],"label_agreement":null},{"id":"W2166532032","doi":"10.1155/2014/140790","title":"On Maps of Period 2 on Prime and Semiprime Rings","year":2014,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Brock University","funders":"","keywords":"Prime (order theory); Algorithm; Mathematics; Combinatorics","score_opus":0.03142989404623789,"score_gpt":0.33855613092744646,"score_spread":0.30712623688120855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166532032","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":[0.47990385,0.0060986304,0.09582346,0.0028857482,0.0017972398,0.0001281453,0.00082075124,0.0006465995,0.41189548],"genre_scores_gemma":[0.92637354,0.0024789714,0.015459315,0.00050837547,0.0015366888,0.000117173826,0.00049047323,0.0002282553,0.05280731],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989581,0.00025039449,0.000049431823,0.0002522787,0.00018494633,0.0003048023],"domain_scores_gemma":[0.9990332,0.00039455964,0.00014452839,0.00012619281,0.00013013094,0.00017132932],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009397402,0.0008235823,0.00068163447,0.0020659785,0.0014287852,0.0026127843,0.00045439796,0.00083954673,0.010590476],"category_scores_gemma":[0.0018189393,0.00055977545,0.0009684164,0.0012608514,0.002164078,0.0047894,0.0022063523,0.0012665241,0.001848316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001810925,0.00003615783,0.00056892086,0.00008696167,0.000018621706,0.0003518554,0.00091795844,0.0014749714,0.0020853889,0.97402227,0.0047966554,0.015459248],"study_design_scores_gemma":[0.000025268928,0.00007434023,0.0010790013,0.000028669378,0.000013012901,0.00036092364,0.0002389296,0.0026499736,0.0010653846,0.97956055,0.014877429,0.000026369438],"about_ca_topic_score_codex":0.0005194752,"about_ca_topic_score_gemma":0.00035809798,"teacher_disagreement_score":0.010590476,"about_ca_system_score_codex":0.0010931382,"about_ca_system_score_gemma":0.0004125587,"threshold_uncertainty_score":0.035428643},"labels":[],"label_agreement":null},{"id":"W2168076987","doi":"10.1155/s0161171204407637","title":"On the Lagrange resolvents of a dihedral quintic polynomial","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; Okanagan University College","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quintic function; Mathematics; Quartic function; Dihedral angle; Polynomial; Quadratic equation; Field (mathematics); Generator (circuit theory); Lagrange polynomial; Pure mathematics; Mathematical analysis; Geometry; Physics","score_opus":0.054361157025508915,"score_gpt":0.34680016927635443,"score_spread":0.2924390122508455,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168076987","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":[0.7075316,0.0012593898,0.124567546,0.0016736859,0.00057098165,0.000088075365,0.0001933233,0.00019589672,0.16391952],"genre_scores_gemma":[0.96458423,0.000759904,0.012417912,0.00020347949,0.00049448013,0.000044980137,0.00014266263,0.000097361626,0.021255074],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996234,0.00009849048,0.000013284667,0.000054681306,0.00013661639,0.00007357205],"domain_scores_gemma":[0.9995591,0.00013594478,0.000078113895,0.000041115345,0.000082565086,0.00010308949],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008795463,0.0007237794,0.00060911535,0.0021162683,0.0013252414,0.001787109,0.00080257823,0.0006626194,0.0051909094],"category_scores_gemma":[0.0018231084,0.00036428068,0.00052120787,0.0009053507,0.0029828986,0.0024608125,0.0015013961,0.001804955,0.0010918223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026835,0.000020173413,0.00014274153,0.000025011204,0.0000033864771,0.0001346064,0.00026792588,0.0014942202,0.0018381783,0.99129957,0.00047686853,0.0042704516],"study_design_scores_gemma":[0.000025167115,0.000053789572,0.00030861152,0.000026455044,0.0000054873262,0.0002207264,0.00013433711,0.015936565,0.0012338293,0.9783773,0.00365101,0.000026715627],"about_ca_topic_score_codex":0.001046621,"about_ca_topic_score_gemma":0.000808069,"teacher_disagreement_score":0.0051909094,"about_ca_system_score_codex":0.00081298925,"about_ca_system_score_gemma":0.0006412563,"threshold_uncertainty_score":0.017365336},"labels":[],"label_agreement":null},{"id":"W2169691280","doi":"10.1155/2009/468290","title":"On an Inequality of Diananda—Part IV","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical Inequalities 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":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Mathematics; Inequality; Power (physics); Work (physics); Mathematical economics; Pure mathematics; Calculus (dental); Combinatorics; Mathematical analysis","score_opus":0.12314247488055333,"score_gpt":0.4179999481216989,"score_spread":0.29485747324114553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169691280","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.038429197,0.028958,0.543162,0.035397027,0.009535589,0.00013630185,0.0010003991,0.00022672175,0.34315485],"genre_scores_gemma":[0.5758788,0.017512504,0.21485208,0.0296201,0.012274345,0.00074603065,0.0012114806,0.00090661406,0.14699805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976459,0.0006975348,0.0001251808,0.00062673807,0.0005695313,0.00033501073],"domain_scores_gemma":[0.99458474,0.003048127,0.00029237286,0.00055641274,0.001206454,0.00031182618],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0045155184,0.0010180518,0.001095785,0.0025196907,0.0017190538,0.0024868455,0.0018645986,0.0014200183,0.012425563],"category_scores_gemma":[0.013342338,0.00039466555,0.0022867457,0.0023533886,0.0038427773,0.006756711,0.0044331993,0.0062686754,0.0024463837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010036661,0.000027133572,0.00043094478,0.00023225213,0.000037190122,0.00013209523,0.00025257972,0.0014455438,0.002328918,0.95036817,0.017346328,0.027298553],"study_design_scores_gemma":[0.000016129621,0.000061001796,0.001041214,0.00018118606,0.000048870927,0.00024103957,0.0000988932,0.008857252,0.0014181822,0.9264041,0.061596252,0.000035904228],"about_ca_topic_score_codex":0.0031902438,"about_ca_topic_score_gemma":0.0016325667,"teacher_disagreement_score":0.012425563,"about_ca_system_score_codex":0.00253511,"about_ca_system_score_gemma":0.001152313,"threshold_uncertainty_score":0.041567683},"labels":[],"label_agreement":null},{"id":"W2170897621","doi":"10.1155/s016117120431210x","title":"Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices","year":2004,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Matrix Theory and Algorithms","field":"Computer Science","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":"Université du Québec à Trois-Rivières","funders":"","keywords":"Mathematics; Pure mathematics; Applied mathematics","score_opus":0.016212572862202228,"score_gpt":0.26958056549746545,"score_spread":0.2533679926352632,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170897621","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2741297,0.0010633784,0.6726896,0.00051232753,0.00050378346,0.000096412,0.00024440658,0.00029748166,0.050463013],"genre_scores_gemma":[0.8636445,0.0010873893,0.11950955,0.0004184502,0.0004704051,0.00014937414,0.0001877664,0.00020804412,0.01432461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99940705,0.0001508419,0.00002943105,0.000091271504,0.00016665908,0.00015476414],"domain_scores_gemma":[0.99918085,0.00026061892,0.0001549218,0.00013074158,0.00018646085,0.00008643049],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006727929,0.0008333696,0.0003345244,0.0013087135,0.0006979037,0.0016767451,0.00060639787,0.0006651503,0.0049134004],"category_scores_gemma":[0.0023252082,0.00024071951,0.0004724069,0.00080187345,0.0019766046,0.0027734532,0.00075602025,0.00097058946,0.0016273847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001987609,0.000013297083,0.00013535772,0.000021015108,0.0000034649229,0.00015058427,0.00019143098,0.003419789,0.003392275,0.9787416,0.0008341709,0.0130770635],"study_design_scores_gemma":[0.000011576625,0.00007928325,0.0004942154,0.000017213591,0.000004146889,0.00038604817,0.00012856907,0.047814548,0.0042069345,0.9380767,0.008730961,0.0000498529],"about_ca_topic_score_codex":0.0005322757,"about_ca_topic_score_gemma":0.00037032765,"teacher_disagreement_score":0.0049134004,"about_ca_system_score_codex":0.00036850915,"about_ca_system_score_gemma":0.00046955445,"threshold_uncertainty_score":0.016436934},"labels":[],"label_agreement":null},{"id":"W3163104799","doi":"10.1155/2021/5564552","title":"Investigation of the Spectral Properties of a Non‐Self‐Adjoint Elliptic Differential Operator","year":2021,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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":"Lorestan University of Medical Sciences; McGill University","keywords":"Mathematics; Resolvent; Hilbert space; Self-adjoint operator; Differential operator; Elliptic operator; Operator (biology); Pure mathematics; Mathematical analysis; Chemistry","score_opus":0.05543184165317675,"score_gpt":0.3006590491038669,"score_spread":0.24522720745069018,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3163104799","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":[0.64514446,0.00065163174,0.3405723,0.0004919351,0.0001006027,0.000033433567,0.000033917375,0.000047841473,0.012923928],"genre_scores_gemma":[0.97643447,0.0003307083,0.018225048,0.000070587615,0.000086180866,0.000023881086,0.000030800617,0.000014622432,0.0047837845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999793,0.00005185462,0.000009540412,0.000052906766,0.00006758662,0.000025110243],"domain_scores_gemma":[0.9994399,0.00020217482,0.00010977473,0.000045281256,0.00012418104,0.00007874697],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005285678,0.0003085045,0.00033129347,0.0006149673,0.00045488184,0.00064520235,0.00038288202,0.00063767086,0.0010273468],"category_scores_gemma":[0.0008336178,0.0001415499,0.0003509202,0.00021830824,0.0013488438,0.0015545608,0.0006293413,0.00064182456,0.00008795441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008429514,0.00014161789,0.0021791116,0.00017947138,0.000041563737,0.0009213367,0.00093994633,0.01823917,0.10805623,0.8574273,0.0005039141,0.01128593],"study_design_scores_gemma":[0.000028082613,0.00024009729,0.0030217392,0.000034661793,0.000020323072,0.001439181,0.00052863633,0.50215405,0.02145742,0.46755108,0.0034603928,0.000064328226],"about_ca_topic_score_codex":0.00019222933,"about_ca_topic_score_gemma":0.00011823424,"teacher_disagreement_score":0.0010273468,"about_ca_system_score_codex":0.00022591294,"about_ca_system_score_gemma":0.00025786844,"threshold_uncertainty_score":0.0034368038},"labels":[],"label_agreement":null},{"id":"W3198335220","doi":"10.1155/2021/6141587","title":"A New Class of Contact Pseudo Framed Manifolds with Applications","year":2021,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","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 Windsor","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Computer science; Artificial intelligence","score_opus":0.030309073965287942,"score_gpt":0.31815776949287883,"score_spread":0.2878486955275909,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198335220","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":[0.72198665,0.0019466337,0.19366977,0.0010504286,0.00040182724,0.00013431387,0.00027809865,0.00033375897,0.08019837],"genre_scores_gemma":[0.96837854,0.00056734454,0.0193431,0.00016721773,0.00028891696,0.000078996796,0.0002683332,0.000038694387,0.01086878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99976414,0.00003911586,0.000010885342,0.000055046225,0.000084188156,0.000046760764],"domain_scores_gemma":[0.999762,0.000023851053,0.000038747952,0.000038568556,0.00006518989,0.00007166594],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002094331,0.0004163389,0.00036988343,0.0015439418,0.0012948464,0.0012328846,0.00043429216,0.0006625039,0.0034981407],"category_scores_gemma":[0.0005690831,0.00014914591,0.0003985325,0.0005529665,0.0011980959,0.0016859103,0.0012189263,0.0007340721,0.00027571854],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032134387,0.00002181044,0.0016786479,0.000050801358,0.0000074178056,0.0005097279,0.00035753156,0.0017490127,0.0049414225,0.97000736,0.0015113135,0.019132763],"study_design_scores_gemma":[0.000032163516,0.00028611283,0.0071510137,0.000057754256,0.000023221986,0.0041007544,0.0007105711,0.05641655,0.004877112,0.82903796,0.0972558,0.00005106273],"about_ca_topic_score_codex":0.00061932113,"about_ca_topic_score_gemma":0.00032868952,"teacher_disagreement_score":0.0034981407,"about_ca_system_score_codex":0.0005531821,"about_ca_system_score_gemma":0.00030340697,"threshold_uncertainty_score":0.011702418},"labels":[],"label_agreement":null},{"id":"W4244703053","doi":"10.1155/ijmms/2006/46382","title":"On an inequality of Diananda. Part III","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Mathematical Inequalities 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":"Université de Montréal; The Scarborough Hospital; University of Toronto","funders":"Centre de Recherches Mathématiques; Université de Montréal; American Institute of Mathematics","keywords":"Mathematics; Inequality; Power (physics); Pure mathematics; Calculus (dental); Mathematical analysis","score_opus":0.09321178595981379,"score_gpt":0.39141981504709,"score_spread":0.2982080290872762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4244703053","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0469332,0.0316766,0.45345402,0.035213575,0.015238676,0.00023866534,0.0014273849,0.00021719745,0.41560072],"genre_scores_gemma":[0.6178412,0.02107504,0.15067157,0.02510813,0.013558235,0.0007878747,0.0012710305,0.00047277057,0.16921428],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987036,0.00033629313,0.00007268639,0.00032073128,0.00032772968,0.00023885399],"domain_scores_gemma":[0.9978514,0.0010670287,0.00015581868,0.0002571825,0.00053839275,0.00013027931],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022299774,0.00081700936,0.0007994671,0.0016164551,0.0011300914,0.0015262236,0.0016474177,0.0013774302,0.01529445],"category_scores_gemma":[0.0069164233,0.00021380192,0.0016426601,0.001507206,0.0024009163,0.004345088,0.0033476846,0.004279009,0.0021993385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015745775,0.00004974375,0.0006620196,0.0006054998,0.00006121131,0.0003784352,0.00036883928,0.001487161,0.0058140783,0.9145492,0.032576505,0.043289937],"study_design_scores_gemma":[0.000023488416,0.00009495841,0.0022773312,0.00026402253,0.00008896627,0.000473024,0.00021291991,0.008189433,0.003379606,0.86735237,0.11760554,0.0000384047],"about_ca_topic_score_codex":0.0020655398,"about_ca_topic_score_gemma":0.0012769452,"teacher_disagreement_score":0.01529445,"about_ca_system_score_codex":0.0012027445,"about_ca_system_score_gemma":0.00068138115,"threshold_uncertainty_score":0.051165044},"labels":[],"label_agreement":null},{"id":"W4392017721","doi":"10.1155/2024/3966566","title":"Analysis of Investment Returns as Markov Chain Random Walk","year":2024,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Stock Market Forecasting Methods","field":"Decision Sciences","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; Random walk; Markov chain; Investment (military); Chain (unit); Econometrics; Combinatorics; Statistics; Mathematical economics","score_opus":0.09557174825586091,"score_gpt":0.4380250448979725,"score_spread":0.3424532966421116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392017721","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38701263,0.0003525326,0.6087179,0.0004894141,0.000036079025,0.0001541119,0.00067832874,0.00042552067,0.0021334467],"genre_scores_gemma":[0.96132374,0.00031857396,0.03452002,0.00006207523,0.000025668796,0.0001787909,0.0008554817,0.000031275988,0.0026843036],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99902797,0.00034490903,0.00004811093,0.00023556557,0.0001682298,0.0001751697],"domain_scores_gemma":[0.9936069,0.0051283687,0.0005682336,0.00019544605,0.00037493787,0.00012616022],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029258165,0.0006322734,0.0008149178,0.0014296827,0.00036555273,0.0011647287,0.0008825138,0.00084321457,0.00225006],"category_scores_gemma":[0.009031436,0.00041336005,0.0009739506,0.0008627685,0.00069560786,0.0013069193,0.0005142949,0.0010340677,0.0003163093],"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":[0.000063609,0.000037722646,0.008624604,0.000027024722,0.00006088768,0.00011166409,0.000054462584,0.965652,0.0006829975,0.0178035,0.0002708922,0.0066105686],"study_design_scores_gemma":[0.0000032872106,0.0000124120525,0.0006773,0.0000039917413,0.0000055670444,0.000012211384,0.000007193581,0.9953512,0.000110475594,0.003733713,0.00007718245,0.0000055514893],"about_ca_topic_score_codex":0.016342612,"about_ca_topic_score_gemma":0.008833188,"teacher_disagreement_score":0.016342612,"about_ca_system_score_codex":0.0011477158,"about_ca_system_score_gemma":0.0011294273,"threshold_uncertainty_score":0.032494962},"labels":[],"label_agreement":null}]}