{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":15,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":15,"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":"536809ddb6b0","filters":{"venue":"Proceedings of the Steklov Institute of Mathematics"}},"results":[{"id":"W1986048785","doi":"10.1134/s0081543811080098","title":"The Peano-Baker series","year":2011,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":59,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Peano axioms; Series (stratigraphy); Simple (philosophy); Ode; Folklore; Convergence (economics); Calculus (dental); Mathematics; Algebra over a field; Computer science; Applied mathematics; Pure mathematics; Algorithm; Epistemology; Literature; Art; Philosophy","authors":[{"name":"Michael Baake","is_ca":false},{"name":"Ulrike E. Schlägel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02236058055056811,"gpt":0.2119588416311635,"spread":0.1895982610805954,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007276621,0.0001444219,0.0002142928,0.00003919781,0.000238041,0.00005942117,0.00230687,0.00004791236,0.000007383192],"category_scores_gemma":[0.0002226804,0.00007635432,0.0001365568,0.0003267191,0.0004502307,0.0007184906,0.0006175508,0.0001222498,0.000009124712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001065478,"about_ca_system_score_gemma":0.00003783823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004151096,"about_ca_topic_score_gemma":0.000001470303,"domain_scores_codex":[0.9988599,0.000006105756,0.0004290289,0.0001520023,0.0003489719,0.0002039307],"domain_scores_gemma":[0.9987878,0.00004765066,0.0004937437,0.0003857197,0.000244983,0.00004006454],"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":[0.000006456167,0.00006571524,0.0000871127,0.0002344194,0.00003300046,2.85988e-7,0.00388241,0.000001166935,0.000850193,0.9926315,0.0003533346,0.001854387],"study_design_scores_gemma":[0.0003954264,0.0002103271,0.0003560336,0.000427122,0.00006606136,0.0001103325,0.002172045,0.002114814,0.2895687,0.6869248,0.01732633,0.0003280522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5277218,0.000582928,0.05409194,0.00265155,0.004009791,0.001705335,0.00001498952,0.0003917869,0.4088299],"genre_scores_gemma":[0.6642322,0.00008343381,0.3304426,0.00004965127,0.00009714445,0.00002390638,1.452114e-7,0.00002295538,0.005047992],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4037819,"threshold_uncertainty_score":0.4286778,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1854153889","doi":"10.1134/s0081543811060058","title":"Algorithmic tests and randomness with respect to a class of measures","year":2011,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":49,"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":"Agence Nationale de la Recherche","keywords":"Randomness; Bernoulli's principle; Mathematics; Sequence (biology); Randomness tests; Class (philosophy); Property (philosophy); Measure (data warehouse); Discrete mathematics; Context (archaeology); Bernoulli number; Metric (unit); Bernoulli process; Combinatorics; Computer science; Statistics; Artificial intelligence","authors":[{"name":"Laurent Bienvenu","is_ca":false},{"name":"Péter Gács","is_ca":false},{"name":"Mathieu Hoyrup","is_ca":false},{"name":"Cristóbal Rojas","is_ca":true},{"name":"Alexander Shen","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03480845670536498,"gpt":0.2366268819779675,"spread":0.2018184252726025,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008948373,0.000223633,0.0005883944,0.0001716723,0.00006662175,0.00003512238,0.001581613,0.00006590492,0.000001742448],"category_scores_gemma":[0.000492083,0.0001413492,0.00009645177,0.0007248197,0.0004266904,0.0004124228,0.0008078491,0.0001278784,9.767746e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002972131,"about_ca_system_score_gemma":0.00008500995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003762679,"about_ca_topic_score_gemma":0.00001524513,"domain_scores_codex":[0.9981698,0.00001088461,0.0006067193,0.0003308154,0.0006518211,0.0002299982],"domain_scores_gemma":[0.998062,0.0001029048,0.0005776399,0.0004463325,0.0007200253,0.00009115107],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0008905284,0.004010216,0.02487472,0.01242889,0.001024544,0.00001319719,0.125173,0.0003701611,0.05737112,0.6874987,0.0007785411,0.08556632],"study_design_scores_gemma":[0.009391269,0.004062526,0.02846816,0.004924315,0.0005011723,0.0006223655,0.003015743,0.03693658,0.6838752,0.2253095,0.001124629,0.001768523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8865043,0.00009003338,0.1048927,0.0002766844,0.0002394785,0.001202372,0.000007036912,0.0000798138,0.006707541],"genre_scores_gemma":[0.6053192,0.000004935535,0.3945887,0.00001137328,0.00001616355,0.00001510575,4.120786e-8,0.00001016594,0.00003427959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6265041,"threshold_uncertainty_score":0.5764053,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2056988106","doi":"10.1134/s0081543814060169","title":"Convex bodies and multiplicities of ideals","year":2014,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":33,"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":"","keywords":"Polyhedron; Mathematics; Linear subspace; Regular polygon; Pure mathematics; Generalization; Minkowski space; Convex polytope; Mixed volume; Class (philosophy); Convex body; Combinatorics; Convex analysis; Mathematical analysis; Convex optimization; Geometry; Computer science","authors":[{"name":"Kiumars Kaveh","is_ca":false},{"name":"Askold Khovanskiĭ","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0339283620019442,"gpt":0.2830674347431591,"spread":0.2491390727412149,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000477303,0.0001555504,0.0005251923,0.00007880979,0.00008247796,0.00001245588,0.0004147361,0.00006019195,0.000007747849],"category_scores_gemma":[0.001277698,0.000107291,0.0001050152,0.0001092195,0.0006699606,0.0001593405,0.0002182278,0.00009438448,9.355066e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000942575,"about_ca_system_score_gemma":0.0000170047,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001250173,"about_ca_topic_score_gemma":0.000006927307,"domain_scores_codex":[0.9988111,0.000006268002,0.0006557744,0.0001217555,0.0002778226,0.00012733],"domain_scores_gemma":[0.9980596,0.0004061968,0.0008658057,0.0002293662,0.0004049697,0.00003410774],"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":[0.000006435727,0.0001258385,0.00148183,0.003234032,0.00008229958,1.181794e-8,0.007113282,0.000001219003,0.02667822,0.9601507,0.0005161315,0.0006099627],"study_design_scores_gemma":[0.0004733304,0.0001007803,0.0008952257,0.0007066261,0.0001641094,0.000007100118,0.00341925,0.0006539968,0.2350294,0.7573879,0.001010407,0.0001518569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9793621,0.00007270733,0.001025905,0.0002774496,0.00004716032,0.0004260865,0.00001701818,0.00002508925,0.01874653],"genre_scores_gemma":[0.9450595,0.00003285095,0.05451431,0.0000131811,0.00001958166,0.00002056111,3.246969e-7,0.00001722384,0.0003224423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2083512,"threshold_uncertainty_score":0.4375199,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4320912776","doi":"10.1134/s0081543822050091","title":"Sampling Discretization of Integral Norms and Its Application","year":2022,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Discretization; Mathematics; Linear subspace; Tensor product; Entropy (arrow of time); Sampling (signal processing); Upper and lower bounds; Applied mathematics; Pure mathematics; Discrete mathematics; Mathematical analysis; Computer science","authors":[{"name":"Feng Dai","is_ca":true},{"name":"Vladimir Temlyakov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04172306702076584,"gpt":0.2905444741534531,"spread":0.2488214071326873,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007164154,0.0001595974,0.0004147096,0.0001196413,0.0001402568,0.0000127401,0.0004143712,0.00005502866,0.0000368583],"category_scores_gemma":[0.001007214,0.000110719,0.0001171044,0.000425268,0.0001516985,0.0002628596,0.0002878491,0.0001773311,6.954468e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004289937,"about_ca_system_score_gemma":0.00002908228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004643299,"about_ca_topic_score_gemma":0.000001659165,"domain_scores_codex":[0.9982214,0.000009515108,0.000904842,0.0001619424,0.0005786098,0.0001236817],"domain_scores_gemma":[0.9980941,0.0001123483,0.001217966,0.0001705892,0.0003693832,0.00003559735],"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":[0.00001247806,0.0002352609,0.000138924,0.002508427,0.00002957283,1.108884e-8,0.002374714,0.00001480562,0.0228024,0.9713343,0.000058288,0.0004908583],"study_design_scores_gemma":[0.0005207884,0.0001726611,0.0000945974,0.0004765439,0.0001544737,0.00002104076,0.004555706,0.03760061,0.1427765,0.8128088,0.000605972,0.0002122568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9632469,0.00003866874,0.02797184,0.0002847963,0.0001015983,0.001041905,0.00003546051,0.0000382328,0.007240622],"genre_scores_gemma":[0.9058841,0.00001036319,0.09370165,0.00001109226,0.00001765708,0.00008546063,0.000005221742,0.00002166762,0.000262754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1585255,"threshold_uncertainty_score":0.4514991,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964119244","doi":"10.1134/s0081543816010053","title":"On the size of the genus of a division algebra","year":2016,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Division (mathematics); Division algebra; Mathematics; Genus; Degree (music); Prime (order theory); Division ring; Brauer group; Field (mathematics); Combinatorics; Pure mathematics; Set (abstract data type); Finite field; Algebra over a field; Discrete mathematics; Arithmetic; Algebra representation; Physics; Computer science","authors":[{"name":"Vladimir Chernousov","is_ca":true},{"name":"Andrei S. Rapinchuk","is_ca":false},{"name":"Igor A. Rapinchuk","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02425726956708338,"gpt":0.2487971700399396,"spread":0.2245399004728563,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00154136,0.0002610954,0.0006131129,0.00007013779,0.0001271915,0.000009149987,0.001673683,0.0001336783,0.00009555762],"category_scores_gemma":[0.007903701,0.000101542,0.0004252226,0.0005268657,0.0009898256,0.0001696335,0.0006019573,0.0001898512,0.000005946266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003123032,"about_ca_system_score_gemma":0.00005814819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004889742,"about_ca_topic_score_gemma":0.000001165484,"domain_scores_codex":[0.9976293,0.00002857518,0.001012583,0.0001926937,0.0008962663,0.000240584],"domain_scores_gemma":[0.9949788,0.00196696,0.00188832,0.0007051963,0.0004201607,0.000040539],"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":[0.00004651011,0.0004249835,0.0005615893,0.001847949,0.0001790602,1.048286e-7,0.002483126,0.0000016925,0.03158145,0.960796,0.001235563,0.0008419566],"study_design_scores_gemma":[0.0004557295,0.0001175118,0.0004009106,0.002311852,0.0001452613,0.000007723952,0.0008523993,0.00001667842,0.3628587,0.6325075,0.000209289,0.0001163716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9860922,0.00003525188,0.0003498792,0.0009714646,0.0002813082,0.0006892337,0.00003074322,0.00002004545,0.0115299],"genre_scores_gemma":[0.9946697,0.00001582169,0.004049113,0.00003522134,0.00003207109,0.00001385256,7.441304e-8,0.00003130841,0.001152878],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3312773,"threshold_uncertainty_score":0.9462039,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109239550","doi":"10.1134/s0081543807040062","title":"Shock waves for the Burgers equation and curvatures of diffeomorphism groups","year":2007,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric Analysis and Curvature Flows","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":"Natural Sciences and Engineering Research Council of Canada; Clay Mathematics Institute","keywords":"Diffeomorphism; Submanifold; Inviscid flow; Mathematics; Burgers' equation; Geodesic; Euler equations; Shock (circulatory); Conjugate points; Mathematical analysis; Group (periodic table); Space (punctuation); Simple (philosophy); Classical mechanics; Physics; Differential equation","authors":[{"name":"Boris Khesin","is_ca":true},{"name":"Gerard Misiołek","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04393943571003701,"gpt":0.2769001557425876,"spread":0.2329607200325506,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001960438,0.0002064925,0.0005753778,0.0001818592,0.0001332657,0.00002494898,0.000518242,0.0001344615,0.000006750751],"category_scores_gemma":[0.002601631,0.0001126476,0.0002905002,0.0006476676,0.0003696526,0.0001996808,0.0001508856,0.0001548751,2.284649e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002100324,"about_ca_system_score_gemma":0.00001915217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001108191,"about_ca_topic_score_gemma":0.000009398257,"domain_scores_codex":[0.9981412,0.000004387005,0.0008907493,0.000168769,0.000573265,0.0002216853],"domain_scores_gemma":[0.9969447,0.0009376693,0.001294175,0.0002496765,0.0005296971,0.0000440952],"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":[0.00008351214,0.0004868825,0.002915524,0.005506847,0.000713118,1.807497e-7,0.005872639,0.00002986275,0.01831965,0.958711,0.003117172,0.004243616],"study_design_scores_gemma":[0.002460046,0.0004791399,0.008084321,0.001894373,0.003251022,0.000035695,0.01741077,0.01053377,0.1696848,0.781135,0.004262823,0.0007683192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9603012,0.0005366703,0.03600651,0.0003849235,0.0002649853,0.0009309048,0.00001928682,0.00001989323,0.00153566],"genre_scores_gemma":[0.9497108,0.00006453916,0.04980126,0.000017418,0.00007732068,0.00001415682,0.000001328789,0.00002222682,0.0002909871],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1775761,"threshold_uncertainty_score":0.4593636,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2607793318","doi":"10.1134/s0081543817060153","title":"Some aspects of holomorphic mappings: A survey","year":2017,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Agence Nationale de la Recherche","keywords":"Holomorphic function; Sketch; Mathematical proof; Mathematics; Metric (unit); Principal (computer security); Pure mathematics; Affine transformation; Algebra over a field; Reflection (computer programming); Calculus (dental); Computer science; Geometry; Algorithm","authors":[{"name":"Sergey Pinchuk","is_ca":false},{"name":"Rasul Shafikov","is_ca":true},{"name":"Alexandre Sukhov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07399995871056404,"gpt":0.2999013988685195,"spread":0.2259014401579555,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002215998,0.0002973478,0.0009583149,0.0001165376,0.00026885,0.00005085463,0.002066974,0.0001867506,0.00002223631],"category_scores_gemma":[0.005591569,0.0002097345,0.0002674055,0.0001696212,0.001300073,0.000552886,0.0006361171,0.0002606643,0.000007384561],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003331976,"about_ca_system_score_gemma":0.0001165573,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005126088,"about_ca_topic_score_gemma":0.00001855004,"domain_scores_codex":[0.9977174,0.00001841346,0.001044929,0.0002517694,0.0006681443,0.0002993863],"domain_scores_gemma":[0.9955623,0.0002229538,0.002553319,0.0008576381,0.0007231292,0.00008062689],"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":[0.00004227487,0.0004699371,0.005023855,0.003690978,0.0002259527,0.000001434554,0.00198531,0.000001790892,0.01739372,0.9698756,0.001161099,0.0001280683],"study_design_scores_gemma":[0.001359154,0.000211172,0.005904157,0.002427103,0.0002726999,0.00004298866,0.001067554,0.0001510716,0.2268147,0.7609927,0.0003366839,0.0004199581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9745741,0.00009379136,0.0001022789,0.0001785446,0.0004151745,0.0005992739,0.00007811247,0.00003578746,0.02392295],"genre_scores_gemma":[0.9867126,0.00004280307,0.01245377,0.00001607813,0.00008241575,0.00001237904,0.000001080186,0.0000452927,0.0006335718],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.209421,"threshold_uncertainty_score":0.8552724,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2035520178","doi":"10.1134/s0081543815010162","title":"Density bounds for outer parallel domains of unit ball packings","year":2015,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Ball (mathematics); Upper and lower bounds; Unit sphere; Connection (principal bundle); Unit (ring theory)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.08088321340267639,"gpt":0.297980504384589,"spread":0.2170972909819125,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001565885,0.0002435648,0.0007468476,0.0002201046,0.00008241218,0.00001973489,0.0006845742,0.0001558983,0.0000138568],"category_scores_gemma":[0.003595178,0.0001701445,0.0003465335,0.0005997444,0.0005052992,0.0002524563,0.0002577362,0.0001425038,0.000003789716],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005436188,"about_ca_system_score_gemma":0.0001170118,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001238926,"about_ca_topic_score_gemma":0.000003144278,"domain_scores_codex":[0.9979274,0.000007091285,0.0009564417,0.0001995846,0.0006518339,0.0002576923],"domain_scores_gemma":[0.9965094,0.0002899098,0.001401421,0.0003301502,0.001362909,0.0001062503],"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":[0.0001464895,0.0005800817,0.002692284,0.003393529,0.0003774946,3.546761e-7,0.004248078,0.00002792281,0.000682213,0.9776398,0.009959283,0.0002524477],"study_design_scores_gemma":[0.002142802,0.0003365843,0.0001329705,0.0005433101,0.0004973306,0.00002887352,0.005840381,0.001139088,0.0156597,0.9677429,0.00564945,0.0002865977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9255299,0.0000634219,0.0529113,0.0002907951,0.0004484289,0.0009009437,0.00003398224,0.00005280437,0.01976844],"genre_scores_gemma":[0.8205588,0.00001362525,0.1752417,0.0000408274,0.00008668857,0.00002024816,0.000001952655,0.00003998736,0.003996179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1223304,"threshold_uncertainty_score":0.6938293,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2980664267","doi":"10.1134/s0081543819030192","title":"The Volume Polynomial of Regular Semisimple Hessenberg Varieties and the Gelfand—Zetlin Polytope","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Monomial; Variety (cybernetics); Flag (linear algebra); Polytope; Intersection homology; Combinatorics; Pure mathematics; Cohomology; Discrete mathematics; Algebra over a field","authors":[{"name":"Megumi Harada","is_ca":true},{"name":"Tatsuya Horiguchi","is_ca":false},{"name":"Mikiya Masuda","is_ca":false},{"name":"Seonjeong Park","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009989196779778425,"gpt":0.2349900450218934,"spread":0.225000848242115,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001951846,0.0003806287,0.001073667,0.00007435798,0.0002859685,0.00007060952,0.001550258,0.0001815367,0.00001314692],"category_scores_gemma":[0.002898092,0.0001957963,0.0003242346,0.0004420009,0.001662741,0.0002698704,0.0008329894,0.0003535596,0.000004289963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004936667,"about_ca_system_score_gemma":0.00008960448,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002263582,"about_ca_topic_score_gemma":0.000005480337,"domain_scores_codex":[0.9969379,0.00003039203,0.001453051,0.0002690722,0.0009251599,0.0003843961],"domain_scores_gemma":[0.9951189,0.00120708,0.002164226,0.0008353082,0.0006102622,0.00006429368],"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":[0.0001548967,0.0001650689,0.0003417619,0.003059389,0.0002414312,1.563803e-7,0.004973867,0.00001218011,0.005586422,0.9837658,0.001448969,0.0002500385],"study_design_scores_gemma":[0.002629435,0.00016529,0.00005311596,0.0008196441,0.0003912862,0.00004113897,0.005890623,0.001618775,0.05367588,0.9291391,0.005262258,0.0003134059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.987148,0.0004321804,0.0005308328,0.0009786321,0.0008724524,0.001830985,0.00002008712,0.00004665327,0.008140151],"genre_scores_gemma":[0.9672307,0.0001432943,0.02905357,0.00001885806,0.0001171615,0.00004104096,4.89688e-7,0.00007789894,0.003317035],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05462667,"threshold_uncertainty_score":0.7984343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2027210994","doi":"10.1134/s0081543812080147","title":"C m -subharmonic extension of runge type from closed to open subsets of ℝ N","year":2012,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Western University","funders":"","keywords":"Extension (predicate logic); Subharmonic; Mathematics; Type (biology); Physics; Computer science; Programming language; Biology","authors":[{"name":"André Boivin","is_ca":true},{"name":"Paul M. Gauthier","is_ca":true},{"name":"Петр Владимирович Парамонов","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09568397451255646,"gpt":0.3275660879073948,"spread":0.2318821133948383,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001280568,0.0002365925,0.0008923351,0.0001022055,0.00005503734,0.00001335364,0.001378131,0.0001487162,0.00007640434],"category_scores_gemma":[0.001355715,0.0001653183,0.0001642918,0.000443079,0.0002644619,0.0003897612,0.0008199344,0.0001592021,0.00001307625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003496265,"about_ca_system_score_gemma":0.00007819133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004516519,"about_ca_topic_score_gemma":0.000004347019,"domain_scores_codex":[0.9979519,0.00001614066,0.001043048,0.0001852854,0.0005326846,0.000270941],"domain_scores_gemma":[0.9974135,0.000193778,0.001118659,0.0004858485,0.0006754563,0.0001127869],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002744095,0.001616033,0.004608081,0.003596514,0.0003507632,4.643519e-7,0.01571428,0.000005028357,0.5237371,0.4456022,0.003824573,0.0006705497],"study_design_scores_gemma":[0.001070728,0.0002524867,0.001749989,0.002217978,0.0004345066,0.000009543637,0.00303359,0.0000811419,0.8792958,0.1108429,0.0007008938,0.000310488],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9915255,0.0001685142,0.0001331732,0.00008997041,0.0003437561,0.0009203773,0.00005894549,0.0000178774,0.006741942],"genre_scores_gemma":[0.9241145,0.00002481288,0.07549852,0.00002591703,0.00004945512,0.000009807635,0.000001801288,0.0000387233,0.0002364697],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3555586,"threshold_uncertainty_score":0.6741486,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4410846733","doi":"10.1134/s008154382501002x","title":"Modularity of Landau–Ginzburg Models","year":2025,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","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 Alberta","funders":"","keywords":"Modularity (biology); Cognitive science; Computer science; Psychology; Biology; Evolutionary biology","authors":[{"name":"Charles F. Doran","is_ca":true},{"name":"Andrew Harder","is_ca":false},{"name":"Ludmil Katzarkov","is_ca":false},{"name":"Михаил Александрович Овчаренко","is_ca":false},{"name":"Victor Przyjalkowski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02929717852028853,"gpt":0.2751119421673474,"spread":0.2458147636470589,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004322912,0.0002204268,0.0007075976,0.0001268908,0.00007435241,0.00001470512,0.0009138483,0.0001617787,0.000008360747],"category_scores_gemma":[0.0005437204,0.0001538642,0.0002795218,0.0004417595,0.0003094439,0.0002409853,0.0004050294,0.0001877956,2.814595e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003591829,"about_ca_system_score_gemma":0.00009323455,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002707868,"about_ca_topic_score_gemma":0.00000196595,"domain_scores_codex":[0.9982123,0.000005723272,0.0008764146,0.000189427,0.0005167417,0.0001993956],"domain_scores_gemma":[0.9981017,0.0001097576,0.0008406964,0.0003744079,0.000536917,0.00003655254],"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":[0.00001516111,0.00018762,0.0002780269,0.003020444,0.0001505238,7.47953e-8,0.0009925623,0.0001115381,0.001722862,0.9927471,0.0006243669,0.0001497199],"study_design_scores_gemma":[0.0005259815,0.00003986195,0.00004851627,0.0008331293,0.0001848991,0.000002612986,0.0004220266,0.003280176,0.05498938,0.9394138,0.0001429593,0.0001166034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9728472,0.00009896188,0.005032892,0.0002309435,0.0006412165,0.0005578549,0.00001407052,0.00003899055,0.02053791],"genre_scores_gemma":[0.9684289,0.00001754134,0.03091472,0.00001679561,0.00003112384,0.00001186871,3.748157e-7,0.000018683,0.0005599687],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05333325,"threshold_uncertainty_score":0.6274402,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386702471","doi":"10.1134/s0081543823020098","title":"Lie Algebras and Integrable Systems: Elastic Curves and Rolling Geodesics","year":2023,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":1,"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":"","keywords":"Isospectral; Geodesic; Mathematics; Integrable system; Lie algebra; Pure mathematics; Tangent; Lie group; Affine connection; Quadratic equation; Affine transformation; Invariant (physics); Lie conformal algebra; Algebra over a field; Loop algebra; Mathematical analysis; Geometry; Mathematical physics; Current algebra","authors":[{"name":"Velimir Jurdjevic","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03913677045455675,"gpt":0.2678639650604078,"spread":0.228727194605851,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009475455,0.0002310005,0.0006473325,0.0002632609,0.0001294468,0.00003682069,0.0003838481,0.0001258996,0.000005794085],"category_scores_gemma":[0.002937449,0.0001601804,0.00008529334,0.0008523229,0.0004785596,0.0002232519,0.0003725698,0.0002035358,0.000004850156],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001814063,"about_ca_system_score_gemma":0.0000388993,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002103757,"about_ca_topic_score_gemma":0.000002939812,"domain_scores_codex":[0.9983826,0.000008344852,0.0007008985,0.0002292729,0.000385218,0.0002936939],"domain_scores_gemma":[0.9983546,0.0005042369,0.000638059,0.0001849822,0.0002416337,0.00007648772],"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":[0.00001162621,0.0001471668,0.002577714,0.02710841,0.0002505586,0.000001890904,0.002299425,0.00002379165,0.001354166,0.9603245,0.005257841,0.0006429036],"study_design_scores_gemma":[0.001525431,0.0003598918,0.001036851,0.01118203,0.0009300302,0.0003118964,0.0125788,0.007253881,0.008793388,0.953527,0.001777343,0.0007234897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9932709,0.00126508,0.0007779184,0.0003990858,0.0003257887,0.0005696598,0.0000128083,0.0001039274,0.003274836],"genre_scores_gemma":[0.983079,0.001165934,0.01412977,0.00002433424,0.00005552613,0.00002774795,0.00000113326,0.00004195733,0.00147461],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01592638,"threshold_uncertainty_score":0.6531967,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3036992107","doi":"10.1134/s0081543821040179","title":"On the Thue–Vinogradov Lemma","year":2021,"lang":"en","type":"preprint","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Lemma (botany); Mathematics; Biology; Botany","authors":[{"name":"József Solymosi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0865350785684434,"gpt":0.3258413292994577,"spread":0.2393062507310144,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002857253,0.0006467818,0.001440549,0.0002097798,0.0002368147,0.0001745663,0.003786354,0.0004492312,0.0001880399],"category_scores_gemma":[0.006769279,0.0003695849,0.0009702559,0.0006273557,0.00119604,0.0001776019,0.003829183,0.001686624,0.00001669845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001573881,"about_ca_system_score_gemma":0.0003562404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002776312,"about_ca_topic_score_gemma":0.00001251501,"domain_scores_codex":[0.995263,0.00005139357,0.001519859,0.0005720311,0.002053708,0.0005400228],"domain_scores_gemma":[0.9938774,0.001160508,0.002110496,0.001519679,0.001219351,0.0001126364],"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":[0.00003194557,0.0007165881,0.0001843056,0.009873864,0.0007844142,0.000002830413,0.004201773,0.00003602342,0.0010322,0.9743221,0.008611192,0.0002027318],"study_design_scores_gemma":[0.0004154813,0.00009430289,0.00003940119,0.006770237,0.0005939309,0.00004048472,0.005370066,0.001223548,0.03362284,0.9508708,0.0004897288,0.0004692298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9234605,0.0001196107,0.0007817259,0.00201578,0.0007411955,0.001934679,0.00005420909,0.00008885856,0.07080342],"genre_scores_gemma":[0.9583309,0.00008692965,0.03605836,0.0000837932,0.0002015653,0.0001372622,0.000004773638,0.0001550355,0.004941396],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06586202,"threshold_uncertainty_score":0.9998756,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964343950","doi":"10.1134/s0081543817060207","title":"Discs in hulls of real immersions into Stein manifolds","year":2017,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Geometric and Algebraic Topology","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Hull; Mathematics; Stein manifold; Mathematical economics; Pure mathematics; Geology; Oceanography","authors":[{"name":"Rasul Shafikov","is_ca":true},{"name":"Alexandre Sukhov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03895995097392874,"gpt":0.3084930405137001,"spread":0.2695330895397714,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007673731,0.000217574,0.00075936,0.0002634131,0.0001615532,0.00002155693,0.001514993,0.0001676345,0.00002616004],"category_scores_gemma":[0.00222821,0.0001538129,0.000218132,0.0003162139,0.0007569082,0.0003175141,0.0007131808,0.0002004962,0.000003250922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004229198,"about_ca_system_score_gemma":0.00007847622,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002334395,"about_ca_topic_score_gemma":0.00007881666,"domain_scores_codex":[0.9980599,0.000006996233,0.0009982666,0.0002052491,0.0004640837,0.000265541],"domain_scores_gemma":[0.9970942,0.0001644188,0.001850931,0.0005791818,0.0002546553,0.000056616],"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":[0.00002257653,0.0006011603,0.01256214,0.00351178,0.0001136773,0.000001530686,0.005054877,0.000002914204,0.01018361,0.9665273,0.0006171774,0.0008012447],"study_design_scores_gemma":[0.00183649,0.0002810209,0.009511107,0.002048692,0.0002859008,0.00003115708,0.009122691,0.0002146781,0.09776112,0.8781874,0.0003293311,0.0003903999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9682153,0.00003171652,0.0001461204,0.0005696617,0.0002718785,0.00043514,0.00001200052,0.00001461134,0.03030352],"genre_scores_gemma":[0.9559965,0.00005904857,0.04295824,0.000004909552,0.00003385758,0.0000102441,4.749339e-7,0.0000235087,0.0009132532],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0883399,"threshold_uncertainty_score":0.6272308,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2752612760","doi":"10.1134/s0081543817040125","title":"On the smoothness of the conjugacy between circle maps with a break","year":2017,"lang":"en","type":"article","venue":"Proceedings of the Steklov Institute of Mathematics","topic":"Mathematical Dynamics and Fractals","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":"University of Toronto","funders":"","keywords":"Conjugacy class; Topological conjugacy; Mathematics; Lebesgue integration; Smoothness; Irrational number; Rotation (mathematics); Pure mathematics; Derivative (finance); Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Konstantin Khanin","is_ca":true},{"name":"Saša Kocić","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04067008438089927,"gpt":0.2774994769978177,"spread":0.2368293926169184,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001213782,0.0003122833,0.0008287795,0.00005596215,0.0004761358,0.00009716314,0.002900413,0.000139539,0.00002612802],"category_scores_gemma":[0.003430164,0.0001425089,0.0003317338,0.0002095363,0.00146912,0.0002564062,0.0007016516,0.0003517605,0.000004008105],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000322253,"about_ca_system_score_gemma":0.0000757924,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002659057,"about_ca_topic_score_gemma":0.00001194967,"domain_scores_codex":[0.9974961,0.00001476516,0.0009713967,0.0002370474,0.0009792191,0.0003014584],"domain_scores_gemma":[0.9945376,0.0007351679,0.002851359,0.001326225,0.0004862302,0.00006339935],"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":[0.00002390847,0.0003616113,0.001847041,0.003177496,0.000239929,2.779126e-7,0.001492414,0.000003624405,0.00114239,0.9906293,0.0007256187,0.0003564337],"study_design_scores_gemma":[0.0008040635,0.0001690178,0.002876315,0.003959694,0.0004532372,0.00001669677,0.0009400322,0.0005013589,0.0350207,0.9546869,0.0002905749,0.0002814141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9523237,0.000009753217,0.0005764266,0.001966858,0.0001618396,0.001226704,0.00008667137,0.00002370537,0.04362436],"genre_scores_gemma":[0.992326,0.000005261487,0.006831494,0.00003266519,0.00005050476,0.00003051529,4.091576e-7,0.00004911242,0.0006740667],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04295029,"threshold_uncertainty_score":0.5811343,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}