{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":5,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":5,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"1c9c475f5dd1","filters":{"venue":"Arnold Mathematical Journal"}},"results":[{"id":"W3036180147","doi":"10.1007/s40598-023-00233-6","title":"Cohomology Rings of Toric Bundles and the Ring of Conditions","year":2023,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; École Polytechnique Fédérale de Lausanne; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; University of Nottingham","keywords":"Mathematics; Toric variety; Ring (chemistry); Cohomology; Pure mathematics; Equivariant map; Generalization; Cohomology ring; Equivariant cohomology; Algebra over a field; Mathematical analysis","authors":[{"name":"Johannes Hofscheier","is_ca":false},{"name":"Askold Khovanskiĭ","is_ca":true},{"name":"Leonid Monin","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03973819206626372,"gpt":0.3350505767810251,"spread":0.2953123847147614,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010631,0.0004102178,0.0007326904,0.002640255,0.001488315,0.00340182,0.0007250461,0.0003711736,0.009831462],"category_scores_gemma":[0.001935425,0.0003338143,0.0003219125,0.001232081,0.003730788,0.005103962,0.002211271,0.00101622,0.001280788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001606345,"about_ca_system_score_gemma":0.0004199951,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001216072,"about_ca_topic_score_gemma":0.0004159757,"domain_scores_codex":[0.9989385,0.0002094962,0.0000425137,0.000237041,0.0002861664,0.0002862826],"domain_scores_gemma":[0.9986627,0.0002824932,0.0002808554,0.0001164076,0.0002240665,0.0004334924],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001053056,0.00002537019,0.0008927716,0.0000504466,0.00001256568,0.0002071834,0.0004993619,0.001146651,0.001654659,0.9883045,0.0009001862,0.006201033],"study_design_scores_gemma":[0.00008046057,0.000106088,0.005819225,0.00004179378,0.00003737499,0.000418839,0.0006787033,0.007819809,0.003745883,0.9683636,0.01282536,0.00006287328],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8634712,0.001594146,0.02637344,0.001271902,0.0001948599,0.00007089908,0.0005304419,0.0002532484,0.1062399],"genre_scores_gemma":[0.9924889,0.0002466322,0.001746763,0.00004101613,0.0001553577,0.00001848203,0.0001223115,0.00001833816,0.005162322],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009831462,"threshold_uncertainty_score":0.03288949,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4318245560","doi":"10.1007/s40598-023-00225-6","title":"Solvability of Some Systems of Integro-differential Equations in Population Dynamics Depending on the Natality and Mortality Rates","year":2023,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"RUDN University","keywords":"Mathematics; Fixed-point theorem; Differential equation; Population; Mathematical analysis; Applied mathematics; Property (philosophy); Reaction–diffusion system; Population model; Demography","authors":[{"name":"Vitali Vougalter","is_ca":true},{"name":"Vitaly Volpert","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07234399354088196,"gpt":0.3545559211822688,"spread":0.2822119276413869,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002169894,0.001168646,0.00122672,0.00136502,0.001113786,0.002647905,0.001030265,0.002250241,0.001393901],"category_scores_gemma":[0.007890491,0.0006749362,0.001942393,0.0004521561,0.002341139,0.00182446,0.002415068,0.001622675,0.0001308304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001171735,"about_ca_system_score_gemma":0.001178465,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002375049,"about_ca_topic_score_gemma":0.001089167,"domain_scores_codex":[0.999351,0.0002249226,0.00004287011,0.0001481507,0.0001054312,0.0001276491],"domain_scores_gemma":[0.9961178,0.002295298,0.0008537143,0.00009392456,0.000313377,0.0003259131],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002644795,0.0001947557,0.008503324,0.0003409128,0.0004728803,0.002167817,0.001486681,0.2111243,0.02300884,0.7447259,0.001520562,0.006189625],"study_design_scores_gemma":[0.0001002503,0.0001048965,0.001208767,0.00002540522,0.00006161189,0.0002571762,0.000214978,0.8588666,0.001915694,0.1366239,0.0005760853,0.00004459218],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7246407,0.000880084,0.2594887,0.002635322,0.0001026937,0.000130416,0.0002516336,0.0001166705,0.01175379],"genre_scores_gemma":[0.9805832,0.0003711196,0.0142524,0.0001335237,0.0001005303,0.0001435182,0.0001675585,0.00003208375,0.00421608],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002647905,"threshold_uncertainty_score":0.01147562,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3106594045","doi":"10.1007/s40598-021-00196-6","title":"The Equivalence Problem in Analytic Dynamics for 1-Resonance","year":2022,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Gravitational singularity; Equivalence (formal languages); Mathematics; Transformation (genetics); Pure mathematics; Moduli; Moduli space; Point (geometry); Complex conjugate; Geometric transformation; Mathematical analysis; Geometry; Computer science; Physics; Image (mathematics)","authors":[{"name":"Christiane Rousseau","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04051476362905407,"gpt":0.3303525307519934,"spread":0.2898377671229394,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001050568,0.0003246995,0.0004758702,0.001215877,0.002098776,0.00249452,0.0006415656,0.001502413,0.004288528],"category_scores_gemma":[0.003712674,0.0002422151,0.0004152716,0.0004191579,0.004183908,0.00509763,0.002442084,0.001300221,0.0002532916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001167621,"about_ca_system_score_gemma":0.0003545577,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006407666,"about_ca_topic_score_gemma":0.0002730328,"domain_scores_codex":[0.9993289,0.0001476666,0.00004095417,0.0001291211,0.0002031787,0.0001501328],"domain_scores_gemma":[0.9993056,0.0002122491,0.0001398192,0.00009368573,0.00008954401,0.000158965],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002859386,0.00002325955,0.0004227021,0.00001454498,0.000004405823,0.0003440838,0.0007734562,0.001266756,0.001614871,0.9930198,0.0002447612,0.002242754],"study_design_scores_gemma":[0.00001773703,0.00003690895,0.0005256514,0.0000164133,0.000004063267,0.0002769347,0.0007544628,0.01269604,0.0005481137,0.9840024,0.001107644,0.00001350127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9320652,0.0001841686,0.03315653,0.001329834,0.0001012724,0.00003440343,0.00003344939,0.00008740357,0.03300775],"genre_scores_gemma":[0.9963559,0.00004866476,0.001908587,0.00004090124,0.00002794981,0.000009172605,0.00001341584,0.00001395357,0.001581431],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004288528,"threshold_uncertainty_score":0.01434654,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4391107136","doi":"10.1007/s40598-023-00243-4","title":"Higher Dimensional Versions of Theorems of Euler and Fuss","year":2024,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Euler's formula; Mathematics; Computer science; Calculus (dental); Mathematical economics; Mathematical analysis; Medicine","authors":[{"name":"Peter C. Gibson","is_ca":true},{"name":"Nicolau C. Saldanha","is_ca":false},{"name":"Carlos Tomei","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04419797271355938,"gpt":0.3243478761179017,"spread":0.2801499034043423,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002494122,0.001058031,0.0009487732,0.003366467,0.002024482,0.002889371,0.001074617,0.001066259,0.01615198],"category_scores_gemma":[0.006395129,0.000481637,0.0018267,0.001807149,0.00405751,0.008740009,0.005440372,0.003631476,0.002098569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002189311,"about_ca_system_score_gemma":0.0007027602,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001481281,"about_ca_topic_score_gemma":0.0008208217,"domain_scores_codex":[0.9984864,0.0003434253,0.00009126816,0.0003268993,0.0004992102,0.0002527694],"domain_scores_gemma":[0.9969773,0.001332656,0.0003253821,0.000459347,0.0006315691,0.0002737548],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000109908,0.000006686879,0.0001360718,0.000042935,0.000006048257,0.00005517096,0.0001276139,0.0005487645,0.0001696576,0.9935408,0.002265866,0.003089379],"study_design_scores_gemma":[0.000008197423,0.00001392222,0.0002289239,0.00002366282,0.000006669195,0.0001376321,0.00006372326,0.002497677,0.0002255227,0.9844639,0.01231837,0.0000117182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1079894,0.007629499,0.4605016,0.009858853,0.003059933,0.00008453215,0.001578728,0.0007063582,0.4085911],"genre_scores_gemma":[0.8506297,0.005528131,0.07233005,0.004029909,0.003826461,0.0002324553,0.001230555,0.0004968707,0.06169593],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01615198,"threshold_uncertainty_score":0.05403382,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4376149181","doi":"10.1007/s40598-023-00227-4","title":"Enumeration of Multi-rooted Plane Trees","year":2023,"lang":"en","type":"article","venue":"Arnold Mathematical Journal","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Enumeration; Combinatorics; Recursion (computer science); Plane (geometry); Conjecture; Binomial (polynomial); Interpretation (philosophy); Integer (computer science); Product (mathematics); Binomial coefficient; Generating function; Hypergeometric function; Identity (music); Hypergeometric distribution; Discrete mathematics; Pure mathematics; Algorithm; Geometry; Computer science","authors":[{"name":"Anwar Al Ghabra","is_ca":true},{"name":"K. Gopala Krishna","is_ca":true},{"name":"Patrick Labelle","is_ca":true},{"name":"Vasilisa Shramchenko","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1378977210098425,"gpt":0.3929039355796433,"spread":0.2550062145698008,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005998356,0.000300177,0.000364364,0.001685164,0.0006063498,0.001803619,0.0007821837,0.0007014922,0.005273289],"category_scores_gemma":[0.003829881,0.0002608534,0.0003771524,0.001503023,0.0007805244,0.002201362,0.0009234648,0.000872004,0.0008635293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000626084,"about_ca_system_score_gemma":0.0003329987,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003836831,"about_ca_topic_score_gemma":0.0007801965,"domain_scores_codex":[0.9994295,0.000137385,0.0000423647,0.00009964448,0.0001983384,0.00009265645],"domain_scores_gemma":[0.9980233,0.0009509585,0.0003591985,0.000210611,0.0003267839,0.0001291331],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007483146,0.00003568057,0.002464661,0.000099263,0.00001157324,0.0002067625,0.000213187,0.01832509,0.009952235,0.9326535,0.001221514,0.03474173],"study_design_scores_gemma":[0.00001674243,0.00004050665,0.001186124,0.00007834234,0.00001456376,0.0005500005,0.0001280615,0.2261686,0.009711592,0.751713,0.01036232,0.00003005835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2706473,0.0006422995,0.6912946,0.0003236087,0.00007401337,0.00008997179,0.0006526256,0.0003355733,0.03594004],"genre_scores_gemma":[0.7754425,0.0006627939,0.2127874,0.0001145846,0.00005581159,0.0001574159,0.0007473343,0.0001201282,0.009912031],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005273289,"threshold_uncertainty_score":0.01764089,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}