{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":9,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":9,"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":"acc54823acac","filters":{"venue":"Lithuanian Mathematical Journal"}},"results":[{"id":"W2096486106","doi":"10.1007/s10986-014-9239-7","title":"A note on the rates of convergence for weighted sums of ρ * -mixing random variables","year":2014,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Mixing (physics); Convergence (economics); Random variable; Proofs of convergence of random variables; Convergence of random variables; Rate of convergence; Applied mathematics; Combinatorics; Statistics; Sum of normally distributed random variables; Computer science","authors":[{"name":"Yongfeng Wu","is_ca":false},{"name":"Soo Hak Sung","is_ca":false},{"name":"Andrei Volodin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09155464598354,"gpt":0.3658450656204452,"spread":0.2742904196369051,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.01125072,0.0001372413,0.0005777957,0.000107438,0.0002129237,0.0001182469,0.0008915452,0.00008885616,0.0006219807],"category_scores_gemma":[0.01289931,0.00006234587,0.0002949561,0.0002934677,0.0003278956,0.0001577108,0.000066156,0.000228928,0.00004631954],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001400599,"about_ca_system_score_gemma":0.00008762477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001582155,"about_ca_topic_score_gemma":0.00000168623,"domain_scores_codex":[0.9967502,0.0005016327,0.001284185,0.0002096605,0.001003847,0.000250412],"domain_scores_gemma":[0.9817579,0.01646559,0.0006423548,0.0004878706,0.0005187196,0.0001276112],"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":[0.0005841653,0.0002533261,0.0004768569,0.0001166879,0.00006053092,0.000001170614,0.002576845,0.0002200022,0.004173463,0.9838986,0.001277951,0.006360351],"study_design_scores_gemma":[0.0007718626,0.000168015,0.0001298338,0.0001755504,0.00002467642,0.00001596726,0.0001605077,0.1086504,0.01192501,0.877459,0.0004462817,0.00007284141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1985518,0.00003579487,0.7966381,0.002304417,0.0001836563,0.0003135715,0.00001502701,0.000007321412,0.001950213],"genre_scores_gemma":[0.9655567,0.00001063973,0.0339118,0.0001812571,0.0001005466,0.0000089933,2.50965e-7,0.000009485571,0.0002203203],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7670048,"threshold_uncertainty_score":0.9954154,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2077282246","doi":"10.1007/s10986-012-9168-2","title":"Limiting behavior for arrays of rowwise ρ *-mixing random variables","year":2012,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Limiting; Mixing (physics); Mathematics; Random variable; Discrete mathematics; Combinatorics; Statistics; Physics","authors":[{"name":"Yongfeng Wu","is_ca":false},{"name":"Chunhua Wang","is_ca":false},{"name":"Andrei Volodin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1477351058117784,"gpt":0.3826478814313291,"spread":0.2349127756195507,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.01130005,0.0001779917,0.0006345591,0.0001739815,0.0003362588,0.0002723271,0.0006852292,0.0001346981,0.0006342345],"category_scores_gemma":[0.008738377,0.0001109811,0.0004137909,0.0002736631,0.0001678321,0.0007769217,0.000101847,0.000309584,0.00008209029],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003821215,"about_ca_system_score_gemma":0.00009003548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001121977,"about_ca_topic_score_gemma":6.540758e-7,"domain_scores_codex":[0.9962593,0.0002708326,0.001541553,0.0002221715,0.001123841,0.0005822593],"domain_scores_gemma":[0.9945717,0.003552992,0.0006080681,0.0004236484,0.000413515,0.000430085],"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":[0.001161104,0.005539307,0.04247696,0.0006109485,0.0003096304,0.00003239925,0.02928436,0.0009538746,0.01874879,0.7246973,0.003840194,0.1723451],"study_design_scores_gemma":[0.001782023,0.000119285,0.001357553,0.0001963111,0.0001227121,0.0004526986,0.001280246,0.009635751,0.002534329,0.9813065,0.0009665759,0.0002460473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2548884,0.0001832462,0.7415332,0.0003143951,0.0003289256,0.0003544451,0.00001729726,0.00001938491,0.002360723],"genre_scores_gemma":[0.7941059,0.000006935569,0.205004,0.00006555565,0.0004663487,0.0000273929,5.824924e-7,0.00001762716,0.0003056829],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5392175,"threshold_uncertainty_score":0.9996114,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2006454022","doi":"10.1007/s10986-012-9175-3","title":"Complete convergence for weighted sums of arrays of banach-space-valued random elements*","year":2012,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":5,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Banach space; Number theory; Convergence (economics); Space (punctuation); Ordinary differential equation; Pure mathematics; Mathematical analysis; Differential equation; Computer science","authors":[{"name":"De Hua Qiu","is_ca":false},{"name":"Tien-Chung Hub","is_ca":false},{"name":"Manuel Ordóñez Cabrera","is_ca":false},{"name":"Andrei Volodin","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1303994235118524,"gpt":0.375298364553271,"spread":0.2448989410414186,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00892741,0.000196698,0.0008993178,0.0001951782,0.0001779931,0.000075003,0.0008813418,0.0001132754,0.001981655],"category_scores_gemma":[0.003228985,0.0001210311,0.0004672794,0.0003822788,0.0003780367,0.0004902607,0.0001031907,0.0002403203,0.0001029645],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003416598,"about_ca_system_score_gemma":0.0001019823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001946234,"about_ca_topic_score_gemma":0.000001703064,"domain_scores_codex":[0.9951662,0.0004003998,0.00212299,0.000233028,0.001547268,0.0005301581],"domain_scores_gemma":[0.9948952,0.002464304,0.001031601,0.0005433729,0.0006525323,0.0004130493],"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":[0.00172262,0.001939956,0.02847828,0.0005916291,0.0004768095,0.000004101468,0.01158288,0.0001365708,0.01982164,0.9203644,0.008210153,0.006670915],"study_design_scores_gemma":[0.002631904,0.0002155786,0.001150851,0.0001366423,0.0000919693,0.00003532087,0.0007097679,0.04513995,0.005457725,0.9420071,0.002223649,0.0001995598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2501392,0.0002103048,0.7469497,0.0005868388,0.0003541266,0.0004760375,0.00009451716,0.0000115066,0.001177731],"genre_scores_gemma":[0.8406827,0.00001482009,0.1587531,0.0000608085,0.0001519682,0.00001078684,0.000001912332,0.00001455895,0.0003093102],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5905435,"threshold_uncertainty_score":0.9989307,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2087288593","doi":"10.1023/b:lima.0000009688.42121.b9","title":"Some Remarks on a Paper of Ramachandra","year":2003,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Multiplicative function; Omega; Mathematics; Number theory; Combinatorics; Ordinary differential equation; Mathematical analysis; Differential equation; Physics; Quantum mechanics","authors":[{"name":"Imre Kátai","is_ca":false},{"name":"M. Venkata Subbarao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02773304844172502,"gpt":0.3028699369720713,"spread":0.2751368885303463,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006738457,0.000207402,0.0005184696,0.0001052159,0.0001382637,0.00006438061,0.0001860963,0.0001255106,0.001175002],"category_scores_gemma":[0.001855788,0.0001427322,0.0002380466,0.0001435147,0.00009017522,0.0001889737,0.00002249711,0.00037233,0.0000957748],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005671161,"about_ca_system_score_gemma":0.00004408923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.604202e-7,"about_ca_topic_score_gemma":7.179797e-7,"domain_scores_codex":[0.9978679,0.0002106968,0.0008743363,0.0001732276,0.000541078,0.000332757],"domain_scores_gemma":[0.9981302,0.0008142894,0.0003462702,0.000347596,0.0001126665,0.0002489725],"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":[0.00002464446,0.0004076019,0.00001505315,0.0001379148,0.00004869876,0.00001302473,0.000249914,0.00000732029,0.0008961539,0.9972014,0.0002812685,0.0007170459],"study_design_scores_gemma":[0.0006802873,0.0001768752,0.00002877412,0.0003421728,0.0000437269,0.0002098679,0.000189482,0.0005814069,0.0004801914,0.9962788,0.00082207,0.0001664035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1450912,0.0002295286,0.8069569,0.0006066165,0.0006189951,0.0006323595,0.00001820401,0.0000998026,0.04574641],"genre_scores_gemma":[0.9034413,0.00002771806,0.09389313,0.0002132576,0.0003261593,0.0000164505,0.000001322612,0.00006138136,0.002019243],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7583501,"threshold_uncertainty_score":0.999738,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1053541739","doi":"10.1007/s10986-015-9284-x","title":"On the convolution of the Liouville function under the existence of Siegel zeros","year":2015,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Arithmetic function; Multiplicity (mathematics); Combinatorics; Number theory; Function (biology); Sequence (biology); Zero (linguistics); Convolution (computer science); Prime (order theory); Discrete mathematics; Mathematical analysis","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"L. Germán","is_ca":false},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08457884388672612,"gpt":0.2945406206937485,"spread":0.2099617768070224,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002634229,0.0002150175,0.0004238712,0.00004795006,0.0002458562,0.00007598406,0.0007426865,0.0001223047,0.0005273285],"category_scores_gemma":[0.002809747,0.00008485019,0.0003178709,0.0003062079,0.0005209238,0.00009270792,0.0001450396,0.0005947248,0.0000792752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006774944,"about_ca_system_score_gemma":0.000118007,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001900574,"about_ca_topic_score_gemma":0.000002400081,"domain_scores_codex":[0.9971736,0.0003580142,0.000969864,0.0001479905,0.001057084,0.0002934461],"domain_scores_gemma":[0.9952099,0.002734941,0.0007793354,0.0007777826,0.0003490299,0.0001490581],"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":[0.00004485887,0.0003024183,0.00001898608,0.0001174374,0.00007349151,9.795689e-7,0.0008991654,0.00002634438,0.0004216354,0.9951252,0.002847632,0.0001218707],"study_design_scores_gemma":[0.0003476957,0.0001875945,0.000265166,0.0003855145,0.0001178265,0.0001232035,0.002034173,0.008253022,0.0004745215,0.9875913,0.0001150916,0.0001048665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7500532,0.0001110924,0.2064956,0.007930511,0.0005475503,0.00101467,0.00002419137,0.00003882178,0.03378431],"genre_scores_gemma":[0.9956586,0.000006026927,0.002753756,0.000372075,0.0001117853,0.00001422175,3.611707e-7,0.0000306578,0.00105254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2456053,"threshold_uncertainty_score":0.5773878,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3162107538","doi":"10.1007/s10986-021-09520-1","title":"On key applications of the Turán–Kubilius inequality","year":2021,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Inequality; Number theory; Scope (computer science); Key (lock); Set (abstract data type); Ordinary differential equation; Prime (order theory); Law of large numbers; Mathematical economics; Pure mathematics; Discrete mathematics; Combinatorics; Statistics; Random variable; Mathematical analysis; Computer science; Differential equation","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05993395119504084,"gpt":0.3681459946739999,"spread":0.308212043478959,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001855703,0.0001835047,0.0004429142,0.0000652559,0.0002462884,0.00009528989,0.0006803792,0.0001117192,0.00279092],"category_scores_gemma":[0.003955532,0.0001122883,0.0003506753,0.0005297405,0.0002717927,0.00007124041,0.0002240323,0.0008017648,0.0002279477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009822629,"about_ca_system_score_gemma":0.0002622125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.42872e-7,"about_ca_topic_score_gemma":0.000003515207,"domain_scores_codex":[0.9969716,0.0005545287,0.0008548916,0.0002259695,0.001027237,0.0003657588],"domain_scores_gemma":[0.995629,0.002349924,0.0003232436,0.001038716,0.0004201818,0.0002389311],"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":[0.00001938647,0.0006427593,0.0002484052,0.0002482649,0.00009666831,0.00002255552,0.0006897753,0.000002311316,0.0004099895,0.9950502,0.001608156,0.0009615448],"study_design_scores_gemma":[0.0003413492,0.00003684051,0.0002441028,0.0002197655,0.00006739215,0.0004933192,0.0005321867,0.0002091906,0.00278527,0.9941719,0.0007779456,0.0001207847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.534784,0.0001625475,0.3228052,0.007732687,0.0002681155,0.001193118,0.00006789049,0.0001117697,0.1328747],"genre_scores_gemma":[0.9632235,0.00001134748,0.02759722,0.0003596606,0.0002949684,0.00003961423,0.000001407173,0.00006058803,0.008411692],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4284395,"threshold_uncertainty_score":0.9981207,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2004762849","doi":"10.1007/s10986-006-0026-y","title":"On the local distribution of certain arithmetic functions","year":2006,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Natural density; Integer (computer science); Number theory; Euler's totient function; Divisor function; Combinatorics; Arithmetic function; Distribution (mathematics); Eisenstein integer; Arithmetic progression; Function (biology); Euler's formula; Discrete mathematics; Divisor (algebraic geometry); Algebraic number; Mathematical analysis","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02533899254129598,"gpt":0.280691780663169,"spread":0.255352788121873,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009905898,0.0002717016,0.0004873409,0.00008940319,0.0003403069,0.0001259373,0.000385918,0.0001199481,0.001110323],"category_scores_gemma":[0.002254483,0.0001644328,0.0003026372,0.0003028871,0.0005298208,0.0001630876,0.00007392877,0.0006015329,0.0002814488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001465448,"about_ca_system_score_gemma":0.00005488387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003809401,"about_ca_topic_score_gemma":0.000005075052,"domain_scores_codex":[0.9972972,0.0001890517,0.001060178,0.0001953576,0.0008143352,0.0004438388],"domain_scores_gemma":[0.9951858,0.003536887,0.0004191897,0.0004936628,0.0002238956,0.0001405856],"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":[0.00002095028,0.0004989054,0.00001172984,0.0001505957,0.00004164496,0.00001715067,0.000104156,0.00006024821,0.0001138612,0.9894007,0.009301838,0.000278224],"study_design_scores_gemma":[0.0003140404,0.0001310501,0.000126178,0.0003206634,0.0001047997,0.0003391645,0.0006700612,0.001765581,0.0007224282,0.9949231,0.0004056356,0.0001772697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09978125,0.00003768546,0.8824942,0.001545593,0.0001384007,0.0003191459,0.00003976475,0.00008174776,0.01556225],"genre_scores_gemma":[0.9807879,0.000003670265,0.01196232,0.00006365665,0.0002476956,0.00003045421,0.000007291008,0.00005247137,0.006844494],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8810067,"threshold_uncertainty_score":0.9998028,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1983161024","doi":"10.1023/b:lima.0000033778.19113.56","title":"Weighted Invariance Principle for Banach Space-Valued Random Variables","year":2004,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Invariance principle; Mathematics; Banach space; Central limit theorem; Context (archaeology); Pure mathematics; Limit (mathematics); Mathematical analysis; Statistics","authors":[{"name":"Miklós Csörgő","is_ca":true},{"name":"Rimas Norvaiša","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02666963551375295,"gpt":0.2486060776611808,"spread":0.2219364421474279,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007886727,0.0001980052,0.0005508066,0.0001311572,0.0003758828,0.0002080325,0.0003794962,0.0001371404,0.0002371121],"category_scores_gemma":[0.0006561624,0.0001884472,0.000197715,0.000301881,0.00007970073,0.0002132352,0.00004723248,0.0002591071,0.0005253301],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001363326,"about_ca_system_score_gemma":0.0001078597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009341217,"about_ca_topic_score_gemma":0.000002342202,"domain_scores_codex":[0.9982387,0.00000495691,0.0009090068,0.0003263999,0.00007822748,0.0004426392],"domain_scores_gemma":[0.9987643,0.0001501959,0.0004527817,0.000295269,0.0001046939,0.0002327867],"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":[0.00004822362,0.0001874343,0.00004377499,0.00007469737,0.00004406339,0.000003503713,0.0002731022,0.00003510634,0.00002246265,0.999002,0.00008438599,0.0001811804],"study_design_scores_gemma":[0.002766002,0.00008694521,0.0002838377,0.00008071036,0.00002125365,0.00009017952,0.00003190809,0.003609376,0.00006929765,0.9808936,0.01182381,0.0002430582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002718135,0.0004998553,0.9867576,0.002257351,0.0002071686,0.0005166723,0.00009954722,0.00004482116,0.006898873],"genre_scores_gemma":[0.3648438,0.00005749241,0.6324069,0.0005606997,0.0009561374,0.0002864749,0.0000136855,0.00007818717,0.000796576],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3621257,"threshold_uncertainty_score":0.7684654,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2019731284","doi":"10.1007/s10986-012-9162-8","title":"Exponential sums and arithmetic functions at polynomial values","year":2012,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Number theory; Polynomial; Exponential function; Exponential polynomial; Arithmetic function; Ordinary differential equation; Arithmetic; Discrete mathematics; Applied mathematics; Algebra over a field; Pure mathematics; Differential equation; Mathematical analysis","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Imre Kátai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05894489549580711,"gpt":0.3395689592046675,"spread":0.2806240637088603,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002256082,0.0002805002,0.0004864752,0.0001898169,0.000587124,0.0002216767,0.0002785221,0.0001562001,0.004888255],"category_scores_gemma":[0.001171039,0.000215068,0.0002133225,0.0001802295,0.0003811679,0.0003907125,0.0002976919,0.0006423066,0.001136301],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001850899,"about_ca_system_score_gemma":0.00005455205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001826754,"about_ca_topic_score_gemma":0.000001849596,"domain_scores_codex":[0.997073,0.0003245703,0.0006873828,0.0002250386,0.0007778006,0.0009121933],"domain_scores_gemma":[0.9972328,0.001148524,0.0001915426,0.0003872964,0.000104238,0.0009356071],"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":[0.0009441976,0.004837542,0.03126293,0.001411741,0.001966725,0.0003265023,0.02069699,0.00000187012,0.007911095,0.7622166,0.1569335,0.01149028],"study_design_scores_gemma":[0.002023191,0.0002395976,0.002904539,0.0002570292,0.0005675355,0.01073331,0.00242675,0.001066424,0.0008292766,0.9724252,0.005789537,0.000737671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9362287,0.0003282582,0.04315829,0.0008854318,0.0004796508,0.0003185586,0.00001447482,0.000109753,0.01847691],"genre_scores_gemma":[0.9476343,0.00002443077,0.02804471,0.00009535189,0.001910182,0.00001752007,0.000002378286,0.00009161396,0.0221795],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2102085,"threshold_uncertainty_score":0.9996414,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}