{"meta":{"query_hash":"c92239189373","filters":{"venue":"Integral Transforms and Special Functions"},"cohort_total":46,"direct_labels_cover":0,"predictions_cover":46,"exported":46,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/c92239189373","api":"https://metacan.xera.ac/api/v1/cohort?venue=Integral+Transforms+and+Special+Functions"},"results":[{"id":"W1670149396","doi":"10.1080/10652461003748112","title":"Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Victoria University","keywords":"Monotonic function; Mathematics; Uniqueness; Sign (mathematics); Function (biology); Class (philosophy); Order (exchange); Combinatorics; Pure mathematics; Mathematical analysis; Discrete mathematics","score_opus":0.050225255717540086,"score_gpt":0.2938059436147176,"score_spread":0.24358068789717754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1670149396","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8065,0.00020071206,0.15516162,0.012767355,0.0017415629,0.0037645511,0.0032112324,0.00012539703,0.016527537],"genre_scores_gemma":[0.9938879,0.00014251687,0.0010939979,0.00005484221,0.0006447408,0.00034474683,0.000046828736,0.000028069875,0.00375635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848425,0.000032533728,0.0008218718,0.00023620404,0.00018553276,0.00023961421],"domain_scores_gemma":[0.9966774,0.0023399969,0.00021582925,0.0004250662,0.0002556165,0.000086074615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006521526,0.00020329798,0.00036738234,0.000085296946,0.00077027566,0.000056015873,0.00019396062,0.00016194659,0.00010025043],"category_scores_gemma":[0.0003608053,0.00011013618,0.00023856506,0.00029907425,0.0005964745,0.00016340324,0.000035233883,0.0004809866,0.0000026076505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017137734,0.00017506395,0.00003896111,0.0001130235,0.0001517594,1.2499468e-7,0.0016220111,0.00001133129,0.005447947,0.9870413,0.002245856,0.0029812714],"study_design_scores_gemma":[0.002389425,0.00053634465,0.0025345967,0.00015891816,0.0007607808,0.000037020065,0.01239263,0.009638393,0.0013351951,0.9063966,0.06339784,0.00042225933],"about_ca_topic_score_codex":0.00036526824,"about_ca_topic_score_gemma":0.002754076,"teacher_disagreement_score":0.18738788,"about_ca_system_score_codex":0.000015489828,"about_ca_system_score_gemma":0.000077299745,"threshold_uncertainty_score":0.59244156},"labels":[],"label_agreement":null},{"id":"W1965885937","doi":"10.1080/10652460903064216","title":"Some properties of functions related to the gamma and psi functions","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Mathematics; Gamma function; Function (biology); Pure mathematics; Applied mathematics; Mathematical analysis","score_opus":0.055500358805401814,"score_gpt":0.2848020010765773,"score_spread":0.2293016422711755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965885937","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8964579,0.0005011306,0.03174513,0.031278234,0.0007837296,0.0017933967,0.0002827296,0.00024655627,0.036911167],"genre_scores_gemma":[0.97993267,0.00012084534,0.00053986587,0.0002783742,0.00073514256,0.00014832984,0.000013933505,0.000020500207,0.01821036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987553,0.000026908789,0.00053715607,0.00023771217,0.00019495474,0.00024800457],"domain_scores_gemma":[0.9992541,0.00014217757,0.00006239725,0.00028029783,0.000115321855,0.00014568536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022393366,0.00019956751,0.00029481034,0.000107127285,0.00054215675,0.00007383045,0.00010896624,0.00010343875,0.00033648263],"category_scores_gemma":[0.00011926792,0.00011429826,0.00013858327,0.00033713927,0.00017374726,0.00019977031,0.000017639813,0.00026894893,0.000046672827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005178575,0.00021589869,0.0000241193,0.000048072267,0.00005904225,3.355472e-7,0.0024799528,0.0000071682966,0.001226293,0.9699501,0.011029817,0.014907414],"study_design_scores_gemma":[0.0007507298,0.000819699,0.0014093528,0.00022371164,0.0003287716,0.00006045994,0.015702453,0.00041535345,0.0006534637,0.8366947,0.14246476,0.00047650843],"about_ca_topic_score_codex":0.000055275304,"about_ca_topic_score_gemma":0.00024205733,"teacher_disagreement_score":0.13325536,"about_ca_system_score_codex":0.000021841477,"about_ca_system_score_gemma":0.00003185106,"threshold_uncertainty_score":0.4660948},"labels":[],"label_agreement":null},{"id":"W1971081516","doi":"10.1080/10652469.2011.623350","title":"The incomplete Pochhammer symbols and their applications to hypergeometric and related functions","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Digital Filter Design and Implementation","field":"Computer Science","cited_by":95,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Hypergeometric function; Generalization; Hypergeometric function of a matrix argument; Pure mathematics; Special functions; Algebra over a field; Class (philosophy); Hypergeometric distribution; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.03620437961624186,"score_gpt":0.2327523009411531,"score_spread":0.19654792132491122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971081516","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05514921,0.00027391774,0.8795288,0.0019166778,0.0007275891,0.00091728184,0.00008424475,0.0001435617,0.061258674],"genre_scores_gemma":[0.99536073,0.0001906671,0.001132477,0.00023200292,0.00018831354,0.00019506829,0.000016233127,0.000012026075,0.0026724841],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990899,0.00001875944,0.00025802955,0.00030074207,0.00009944327,0.00023313954],"domain_scores_gemma":[0.99941766,0.00010149059,0.000030774005,0.00020286212,0.00007056313,0.00017667074],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015076243,0.00015354574,0.00012576337,0.0002188424,0.00085574656,0.0004193333,0.0001719384,0.00004509871,0.00005432313],"category_scores_gemma":[0.000014257655,0.00009333955,0.00005079716,0.00079814927,0.0001332785,0.0006211791,0.00005488319,0.00013487657,0.000039705687],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002451828,0.00005046919,0.0008090694,0.000004779607,0.000055487337,6.5936183e-7,0.0026359654,4.003561e-7,0.00039975025,0.23992024,0.0015344649,0.75456417],"study_design_scores_gemma":[0.0013690805,0.0015146349,0.1139074,0.000037966223,0.00008087735,0.00025388118,0.0066064107,0.00091310986,0.00055419223,0.19210266,0.68179333,0.0008664941],"about_ca_topic_score_codex":0.000109204404,"about_ca_topic_score_gemma":0.00027846821,"teacher_disagreement_score":0.94021153,"about_ca_system_score_codex":0.000018210378,"about_ca_system_score_gemma":0.000025958909,"threshold_uncertainty_score":0.6581797},"labels":[],"label_agreement":null},{"id":"W1976212494","doi":"10.1080/10652460701284164","title":"A weighted and exponential generalization of Wilker's inequality and its applications","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":81,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalization; Inequality; Exponential function; Applied mathematics; Calculus (dental); Mathematical economics; Algebra over a field; Pure mathematics; Mathematical analysis; Medicine","score_opus":0.04849430934350587,"score_gpt":0.3160441402540019,"score_spread":0.26754983091049606,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976212494","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54776055,0.00013520932,0.44587973,0.00033197,0.000059395603,0.00053538993,0.0001089025,0.000044650133,0.0051442096],"genre_scores_gemma":[0.9937266,0.00027765118,0.0045685507,0.000043657317,0.0005716504,0.000101901736,0.000039742365,0.000017721608,0.0006524981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896216,0.000016969123,0.000501952,0.00020095546,0.00014457348,0.0001734034],"domain_scores_gemma":[0.999296,0.0002604622,0.000083817955,0.00012405074,0.00010875657,0.00012691606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032965752,0.00014203333,0.0002428346,0.00008750563,0.00021219028,0.000033303008,0.000048620786,0.00010127627,0.00019839233],"category_scores_gemma":[0.00004719051,0.00010881141,0.000053929773,0.0001943748,0.00012275208,0.00013271371,0.000018862127,0.00011621094,0.000002245093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029192388,0.00012115773,0.00017123655,0.00014880126,0.000027737968,2.3187498e-7,0.00074777094,1.3629122e-7,0.0015988695,0.98541594,0.00016899426,0.01156993],"study_design_scores_gemma":[0.0010300166,0.00018626686,0.0021126023,0.0000861233,0.00019648457,0.000030502271,0.0029507887,0.0010648645,0.003979952,0.9580278,0.029936684,0.00039795996],"about_ca_topic_score_codex":0.000053224572,"about_ca_topic_score_gemma":0.00030664733,"teacher_disagreement_score":0.4459661,"about_ca_system_score_codex":0.000012734152,"about_ca_system_score_gemma":0.000013717735,"threshold_uncertainty_score":0.44372004},"labels":[],"label_agreement":null},{"id":"W1977581607","doi":"10.1080/10652469.2014.961452","title":"Continuous inversion formulas for multi-dimensional modified Stockwell transforms","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":29,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Università degli Studi di Torino","keywords":"Inversion (geology); Mathematics; Algorithm; Applied mathematics; Calculus (dental); Geology","score_opus":0.033840017525003374,"score_gpt":0.2706431633901715,"score_spread":0.23680314586516815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977581607","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027109224,0.000041294614,0.9652415,0.00067002006,0.0013845346,0.00050357234,0.00002675287,0.0001329293,0.004890171],"genre_scores_gemma":[0.8280807,0.000042467324,0.16171834,0.0012763458,0.0018922501,0.00012499752,0.000066710716,0.000047708156,0.00675044],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984895,0.000045278142,0.00035462246,0.0004445929,0.00024317933,0.0004228294],"domain_scores_gemma":[0.9991878,0.0001807838,0.000046840396,0.00023130189,0.00016051829,0.00019275596],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004766992,0.0002553754,0.00032893504,0.00017589863,0.000558544,0.0001939709,0.00029731012,0.00015577528,0.000034996814],"category_scores_gemma":[0.000050113813,0.00018289042,0.00027364408,0.00022769364,0.0000993316,0.0007480985,0.00002360668,0.00025312573,0.000020918344],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053996977,0.00026126247,0.00006890198,0.000048752376,0.000069997994,0.0000050160384,0.0014900347,0.00030352437,0.007036001,0.21220385,0.003673601,0.7742991],"study_design_scores_gemma":[0.01383768,0.002747657,0.001231642,0.00013209347,0.00014014612,0.0000896816,0.00035695697,0.65468657,0.014738123,0.08322093,0.22750118,0.0013173405],"about_ca_topic_score_codex":0.00008865294,"about_ca_topic_score_gemma":0.00016613706,"teacher_disagreement_score":0.8035232,"about_ca_system_score_codex":0.000039174458,"about_ca_system_score_gemma":0.000052836484,"threshold_uncertainty_score":0.7458055},"labels":[],"label_agreement":null},{"id":"W1978746628","doi":"10.1080/10652461003799511","title":"Mittag-Leffler functions to pathway model to Tsallis statistics","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Fractional calculus; Hypergeometric function; Tsallis statistics; Applied mathematics; Pure mathematics; Generalization; Special functions; Algebra over a field; Calculus (dental); Mathematical analysis","score_opus":0.012823190739790852,"score_gpt":0.24854269582158434,"score_spread":0.23571950508179348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1978746628","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.027599433,0.0000015306008,0.9365298,0.0011683363,0.0017890219,0.00032926264,0.0038789816,0.000039926155,0.028663717],"genre_scores_gemma":[0.9384211,0.000003914476,0.035719704,0.0006403033,0.0046779104,0.00023374181,0.00035355685,0.00006525444,0.01988453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988242,0.0000071712807,0.00027321436,0.00033025266,0.00018146685,0.0003837077],"domain_scores_gemma":[0.9991109,0.00006087548,0.00002080179,0.00019080022,0.00012973549,0.00048692882],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007205569,0.00022356704,0.00021814891,0.00011097092,0.00033805682,0.0001363189,0.00010801644,0.000066156,0.003982818],"category_scores_gemma":[0.000021900869,0.00017822541,0.00009880219,0.00022227518,0.000039271643,0.00013348933,0.000023906563,0.00041070886,0.0005645231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054674463,0.00010261382,0.00020846626,0.0000029522116,0.000035041,9.3998307e-7,0.00030345205,0.00023762387,0.0014268202,0.81873345,0.028880952,0.15001303],"study_design_scores_gemma":[0.0009043158,0.00058010983,0.0010632366,0.000023880508,0.00011364741,0.0000031126958,0.001283099,0.027672386,0.00048106897,0.21327385,0.7538318,0.00076950295],"about_ca_topic_score_codex":0.0003656994,"about_ca_topic_score_gemma":0.0006562547,"teacher_disagreement_score":0.9108217,"about_ca_system_score_codex":0.000016980159,"about_ca_system_score_gemma":0.00006531435,"threshold_uncertainty_score":0.9969277},"labels":[],"label_agreement":null},{"id":"W1982755271","doi":"10.1080/10652469.2010.538525","title":"Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Digamma function; Mathematics; Constant (computer programming); Euler's formula; Function (biology); Gamma function; Pure mathematics; Constant function; Applied mathematics; Mathematical analysis; Computer science; Riemann zeta function; Piecewise","score_opus":0.196933542690535,"score_gpt":0.31463419857930813,"score_spread":0.11770065588877313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982755271","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13830708,0.0013572867,0.84592414,0.0046118563,0.00054362597,0.0044002817,0.00046524324,0.00014811665,0.004242375],"genre_scores_gemma":[0.98634195,0.0006642785,0.006110891,0.00017428232,0.0007362646,0.002784186,0.00001159896,0.00004385179,0.0031326825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906874,0.00001211332,0.00037043524,0.00020607494,0.00010061293,0.00024201848],"domain_scores_gemma":[0.9976888,0.0018954999,0.00006608293,0.00017551491,0.0001062743,0.00006782997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031944521,0.00020225024,0.00025777164,0.000028101707,0.00092067977,0.00014404737,0.000090511,0.00008521025,0.00016168808],"category_scores_gemma":[0.00024265396,0.0000860557,0.00010009291,0.00006533828,0.00045930097,0.00016334778,0.000021469235,0.00014614423,0.000001060371],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005024816,0.00007388611,0.00006973196,0.00022931788,0.0001347995,6.3774635e-8,0.0038172163,5.211349e-7,0.000068590765,0.98241574,0.0007369817,0.011950654],"study_design_scores_gemma":[0.0009840204,0.00060772337,0.00059820624,0.00009917547,0.00058898935,0.00001574681,0.031207973,0.005727494,0.0005781129,0.9299276,0.029381264,0.00028372518],"about_ca_topic_score_codex":0.00016419172,"about_ca_topic_score_gemma":0.00090466463,"teacher_disagreement_score":0.84803486,"about_ca_system_score_codex":0.0000140298525,"about_ca_system_score_gemma":0.00003304234,"threshold_uncertainty_score":0.7081218},"labels":[],"label_agreement":null},{"id":"W1983296600","doi":"10.1080/10652469.2014.918613","title":"Identities for generalized Euler polynomials","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Memorial University of Newfoundland; National Science Foundation","keywords":"Mathematics; Euler's formula; Wilson polynomials; Pure mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Difference polynomials; Algebra over a field; Mathematical analysis","score_opus":0.04508736271116521,"score_gpt":0.31223217144733195,"score_spread":0.26714480873616675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983296600","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14366937,0.00007245041,0.77430737,0.00079712115,0.002254948,0.000788042,0.00013293343,0.00023830209,0.07773948],"genre_scores_gemma":[0.56193596,0.00043726907,0.11143437,0.0005865506,0.019847875,0.0011966339,0.00011723855,0.000295354,0.30414876],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989649,0.00001905458,0.0003820387,0.0002045688,0.00015311943,0.00027632125],"domain_scores_gemma":[0.999046,0.00055732415,0.000053797226,0.00015679527,0.00009070691,0.000095327894],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022716535,0.00018728226,0.00034875306,0.000097155054,0.00028081218,0.00011949642,0.00009613234,0.000091520145,0.0006728055],"category_scores_gemma":[0.0004489946,0.00013951374,0.00020310491,0.00007672261,0.00014963202,0.00032019985,0.000013613942,0.000115818,0.00002371225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052876792,0.000049326773,0.000015870082,0.00010931624,0.000041563497,3.0343853e-7,0.00039393868,0.0000015687186,0.00040913097,0.98006046,0.015226333,0.0036393306],"study_design_scores_gemma":[0.00072282983,0.00011755351,0.00003714633,0.00003353152,0.00009999968,0.000008662798,0.00056508835,0.00012804025,0.0008054458,0.9366582,0.060633663,0.0001898071],"about_ca_topic_score_codex":0.00001608713,"about_ca_topic_score_gemma":0.00030608903,"teacher_disagreement_score":0.66287297,"about_ca_system_score_codex":0.000030481178,"about_ca_system_score_gemma":0.000015877862,"threshold_uncertainty_score":0.73667485},"labels":[],"label_agreement":null},{"id":"W1987822091","doi":"10.1080/10652469.2011.611331","title":"A class of logarithmically completely monotonic functions related to the gamma function with applications","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Monotonic function; Gamma function; Bounding overwatch; Class (philosophy); Function (biology)","score_opus":0.06414233718931323,"score_gpt":0.2753081842237573,"score_spread":0.21116584703444408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987822091","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.056484506,0.000028899838,0.80919904,0.0021623753,0.00019780918,0.0020524722,0.0002437213,0.0001711561,0.12946],"genre_scores_gemma":[0.9810232,0.00003002865,0.009529396,0.00021136283,0.00040482305,0.001543545,0.000048715287,0.000053478645,0.007155461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985445,0.00003320053,0.00060751266,0.00030131591,0.0002356736,0.00027780305],"domain_scores_gemma":[0.99881345,0.00025752938,0.0001122755,0.00043297632,0.00022192135,0.00016182353],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023026863,0.00022560447,0.0003188763,0.00011635644,0.00044324086,0.00003833749,0.00019468066,0.000116752264,0.0012774946],"category_scores_gemma":[0.000036486646,0.000131322,0.00015458005,0.0005823678,0.00025066853,0.00012228408,0.0000255888,0.00032704117,0.00009991894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014606887,0.00030168725,0.000069139336,0.000042631083,0.000118408425,3.497311e-7,0.0013784954,0.000006483638,0.00012788226,0.9853296,0.0027951377,0.00968407],"study_design_scores_gemma":[0.00094357616,0.0013039988,0.0026436346,0.00010367627,0.0005430066,0.00005856157,0.008845294,0.00054324296,0.00018432747,0.7203938,0.2639422,0.0004946867],"about_ca_topic_score_codex":0.00012545643,"about_ca_topic_score_gemma":0.0012096552,"teacher_disagreement_score":0.9245387,"about_ca_system_score_codex":0.000034554763,"about_ca_system_score_gemma":0.000051380222,"threshold_uncertainty_score":0.99963546},"labels":[],"label_agreement":null},{"id":"W1992923636","doi":"10.1080/10652460902992292","title":"A formula for the norm of an averaging operator on weighted Lebesgue space","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lp space; Lebesgue integration; Operator norm; Norm (philosophy); Bounded function; Pure mathematics; Operator (biology); Standard probability space; Class (philosophy); Finite-rank operator; Bounded operator; Multiplication operator; Operator theory; Discrete mathematics; Mathematical analysis; Hilbert space; Banach space","score_opus":0.037973335059794465,"score_gpt":0.29653002994169986,"score_spread":0.2585566948819054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1992923636","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7694515,0.000032927637,0.21339934,0.0021636875,0.0006130572,0.0010154039,0.00012487156,0.00006184218,0.013137378],"genre_scores_gemma":[0.99424404,0.000033671815,0.0021985052,0.00011969105,0.0007503741,0.00004461621,0.000027704522,0.000014980688,0.0025663918],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999241,0.000010499487,0.00026899902,0.00015303993,0.00014723859,0.00017924947],"domain_scores_gemma":[0.99948484,0.00015476102,0.000043638465,0.00015539637,0.00009868995,0.00006265797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015004918,0.00014535835,0.00019308638,0.00007759835,0.00045221878,0.0001098563,0.00009929848,0.00006376654,0.0003162718],"category_scores_gemma":[0.000023864835,0.000080633494,0.00014024871,0.00013600852,0.000061492115,0.00023172636,0.0000037109571,0.00014919911,0.0000056695458],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024256129,0.00042010823,0.000022826589,0.000026624759,0.00006501276,8.092326e-7,0.0017537327,0.000015534328,0.0007712074,0.80361944,0.00142254,0.19163962],"study_design_scores_gemma":[0.0032363643,0.0029525314,0.00096700265,0.0001856684,0.0003388407,0.000025339565,0.004513222,0.011195327,0.004427321,0.8641372,0.10747844,0.0005427588],"about_ca_topic_score_codex":0.00006805781,"about_ca_topic_score_gemma":0.0009474384,"teacher_disagreement_score":0.22479257,"about_ca_system_score_codex":0.000022950497,"about_ca_system_score_gemma":0.000044044402,"threshold_uncertainty_score":0.3478147},"labels":[],"label_agreement":null},{"id":"W1995545739","doi":"10.1080/10652460601041094","title":"Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform<sup>†</sup>","year":2006,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto","keywords":"Mathematics; Bessel function; Orthogonality; Pointwise; Mathematical analysis; Zero (linguistics); Pointwise convergence; Pure mathematics; Order (exchange); Connection (principal bundle); Differential equation; Hilbert transform; Struve function; Orthogonal polynomials","score_opus":0.033703127760403795,"score_gpt":0.274385486963648,"score_spread":0.2406823592032442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995545739","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6002828,0.00012653954,0.32901525,0.0016224305,0.00029279885,0.00090147654,0.000111804184,0.0002372204,0.067409694],"genre_scores_gemma":[0.96099275,0.00019093872,0.027471634,0.0001814493,0.0043876343,0.00019971607,0.00009660545,0.00013368718,0.006345579],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980212,0.0000520225,0.0006379077,0.00042321873,0.0003685964,0.0004970668],"domain_scores_gemma":[0.998984,0.00036387864,0.000069752175,0.0002607236,0.00014502252,0.00017665351],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00030329466,0.00041953166,0.00053232815,0.00013961994,0.00048959855,0.0001753237,0.00013782109,0.00021094903,0.0007256519],"category_scores_gemma":[0.000084924184,0.0003175443,0.00022521257,0.0003881234,0.00032048312,0.00044304697,0.00001532605,0.00039536032,0.000040792736],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013550057,0.0002981958,0.000060801518,0.00010624742,0.000095812415,0.0000071757822,0.0018477372,0.00007669392,0.0005563852,0.9834293,0.0024479206,0.010938244],"study_design_scores_gemma":[0.001395123,0.00019751895,0.00014027313,0.00006685051,0.00018466885,0.000051621126,0.00087306317,0.0037834642,0.0010186998,0.9861048,0.0057466724,0.0004372871],"about_ca_topic_score_codex":0.00013556107,"about_ca_topic_score_gemma":0.0003875862,"teacher_disagreement_score":0.36070997,"about_ca_system_score_codex":0.00006275663,"about_ca_system_score_gemma":0.00004939325,"threshold_uncertainty_score":0.99992764},"labels":[],"label_agreement":null},{"id":"W2007068298","doi":"10.1080/10652460802396008","title":"A functional expansion for analytic functions and its subclasses","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Kronecker delta; Sequence (biology); Taylor series; Analytic function; Trigonometric functions; Fourier series; Series expansion; Set (abstract data type); Polynomial; Set function; Analytic continuation; Basis function; Trigonometric polynomial; Pure mathematics; Taylor's theorem; Function (biology); Mathematical analysis; Trigonometry","score_opus":0.06979607885004438,"score_gpt":0.2812015868128518,"score_spread":0.2114055079628074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007068298","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70115894,0.00051975634,0.28652933,0.0011957991,0.0007776931,0.0005859537,0.00017722115,0.00014555993,0.008909722],"genre_scores_gemma":[0.964666,0.00048980565,0.0005355366,0.000080237965,0.0014646021,0.00010504576,0.000068946756,0.000027191665,0.03256264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986961,0.00001609906,0.00037857812,0.00036354864,0.000248765,0.0002969152],"domain_scores_gemma":[0.9989891,0.00042457992,0.00006206771,0.00013116135,0.00021453967,0.00017851722],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016448027,0.00023740972,0.0003690167,0.0003918927,0.00092021044,0.000042330936,0.000055966007,0.00014509339,0.00091050944],"category_scores_gemma":[0.00023230536,0.00017645737,0.00026939347,0.0006849149,0.00014359187,0.00031627849,0.000013693199,0.00020996151,0.000032558026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014827767,0.0013270406,0.011467206,0.00035920335,0.0020400374,0.00003249597,0.0032380798,0.00006326947,0.0009283736,0.686909,0.22285478,0.06929771],"study_design_scores_gemma":[0.011664653,0.0037757687,0.06929648,0.0002288301,0.004809175,0.0013206538,0.022625543,0.010112593,0.00081957935,0.52809656,0.34396133,0.0032888427],"about_ca_topic_score_codex":0.000036363574,"about_ca_topic_score_gemma":0.0002820723,"teacher_disagreement_score":0.2859938,"about_ca_system_score_codex":0.0000463643,"about_ca_system_score_gemma":0.000081846054,"threshold_uncertainty_score":0.996944},"labels":[],"label_agreement":null},{"id":"W2008887716","doi":"10.1080/10652469.2010.483899","title":"Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes <i>G</i> -function","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Education Department of Henan Province","keywords":"Monotonic function; Mathematics; Gamma function; Function (biology); Inequality; Pure mathematics; Applied mathematics; Calculus (dental); Mathematical analysis","score_opus":0.03649263921539616,"score_gpt":0.2489099460648732,"score_spread":0.21241730684947704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2008887716","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9808206,0.00025888023,0.0041554845,0.009266291,0.00020128352,0.0008336528,0.00008297901,0.000092071205,0.0042887474],"genre_scores_gemma":[0.9939329,0.0002798035,0.00009852172,0.00026959486,0.0006677847,0.000343497,0.000010505625,0.000023397095,0.004373967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989408,0.000064939115,0.00032055253,0.00025001858,0.00018688985,0.0002368003],"domain_scores_gemma":[0.99866927,0.0008412373,0.000082327795,0.00020344612,0.00010397351,0.00009972714],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005425297,0.00023845011,0.00031389768,0.00004602142,0.0011391923,0.00028561676,0.00007509181,0.00012105788,0.00008020051],"category_scores_gemma":[0.00019458859,0.00010343319,0.00006422883,0.00013538261,0.0012238931,0.00029841537,0.000033722816,0.00050512824,0.0000021403764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017474922,0.00006849725,0.0001771057,0.00005637144,0.00010546489,2.2313479e-7,0.003714376,4.6758598e-7,0.00020478763,0.99177283,0.00089625,0.0028288728],"study_design_scores_gemma":[0.0028510462,0.00044109562,0.0033913273,0.00013329252,0.000697257,0.000074884716,0.036263358,0.001412045,0.00014348501,0.91815937,0.035896588,0.0005362294],"about_ca_topic_score_codex":0.0002461496,"about_ca_topic_score_gemma":0.0038442137,"teacher_disagreement_score":0.07361344,"about_ca_system_score_codex":0.000010204054,"about_ca_system_score_gemma":0.00002689368,"threshold_uncertainty_score":0.87618613},"labels":[],"label_agreement":null},{"id":"W2015805602","doi":"10.1080/10652469.2014.939079","title":"Series for 1/π and π with free parameters","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Memorial University of Newfoundland","keywords":"Mathematics; Series (stratigraphy); Ramanujan's sum; Basic hypergeometric series; Extension (predicate logic); Applied mathematics; Hypergeometric function; Calculus (dental); Algebra over a field; Pure mathematics","score_opus":0.02791648116679796,"score_gpt":0.26321441767524745,"score_spread":0.2352979365084495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015805602","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24343202,0.000030184041,0.7173281,0.0013052137,0.0003095788,0.0006495917,0.000082847735,0.0001338674,0.03672864],"genre_scores_gemma":[0.53558964,0.00017854174,0.41841286,0.00024941718,0.002298337,0.0006271541,0.000025127107,0.00015411913,0.042464815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994204,0.000006721386,0.00016223968,0.00015082983,0.00009316008,0.00016665347],"domain_scores_gemma":[0.999412,0.00031091797,0.00002631363,0.00013037708,0.000048233796,0.000072172734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000091776536,0.0001312363,0.00020856976,0.000044671084,0.00018439154,0.0000693601,0.000053197535,0.000049596227,0.000044987188],"category_scores_gemma":[0.00020572325,0.00008314083,0.00004902142,0.000052711614,0.00021247573,0.00028356753,0.000009666689,0.00008097154,0.0000012673714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011226802,0.000028319226,0.00005963936,0.00010951901,0.000032052412,3.7566306e-7,0.00050941715,0.0000010395577,0.000037990183,0.9932455,0.001731532,0.004132374],"study_design_scores_gemma":[0.0005808942,0.00044760125,0.00005095469,0.000047825255,0.00006693934,0.000023130598,0.0011850134,0.00008458224,0.00025014806,0.98032767,0.016799029,0.0001362138],"about_ca_topic_score_codex":0.000010175736,"about_ca_topic_score_gemma":0.0011943503,"teacher_disagreement_score":0.2989152,"about_ca_system_score_codex":0.000010531683,"about_ca_system_score_gemma":0.0000080273885,"threshold_uncertainty_score":0.33903846},"labels":[],"label_agreement":null},{"id":"W2020053886","doi":"10.1080/10652469.2012.656919","title":"Summation identities involving certain classes of polynomials","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Classical orthogonal polynomials; Wilson polynomials; Orthogonal polynomials; Difference polynomials; Jacobi polynomials; Discrete orthogonal polynomials; Laguerre polynomials; Hahn polynomials; Gegenbauer polynomials; Pure mathematics; Hermite polynomials; Macdonald polynomials; Algebra over a field; Hypergeometric function","score_opus":0.057459499369458475,"score_gpt":0.3076250291846924,"score_spread":0.25016552981523393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020053886","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8888675,0.00042823725,0.027341396,0.0003443039,0.0019291346,0.00047673567,0.000116695366,0.000102419865,0.080393605],"genre_scores_gemma":[0.99055755,0.00017185391,0.0016976629,0.000033855988,0.0021003054,0.000038872666,0.000017076758,0.00002415405,0.005358666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987579,0.000041902626,0.0005760972,0.00012752437,0.00019529162,0.0003013004],"domain_scores_gemma":[0.99901766,0.00050044816,0.000103889884,0.00016166971,0.00008443853,0.00013189035],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00042769223,0.00018004414,0.00036517179,0.000169234,0.00021158847,0.000056606685,0.00007604813,0.00012353956,0.0021738305],"category_scores_gemma":[0.0002680059,0.00013221831,0.00017474654,0.0001841333,0.00012553786,0.0005469359,0.000015830206,0.00015565091,0.000034938417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006238665,0.00025042045,0.0029119626,0.0002377915,0.000093900046,3.286192e-7,0.0024348667,8.571732e-7,0.002434917,0.9672829,0.015878582,0.00841112],"study_design_scores_gemma":[0.0015505004,0.000502657,0.006116021,0.00042563048,0.0005814903,0.000072267976,0.01737362,0.00016303745,0.01461035,0.86286914,0.09475584,0.0009794405],"about_ca_topic_score_codex":0.0001104313,"about_ca_topic_score_gemma":0.00027059126,"teacher_disagreement_score":0.10441373,"about_ca_system_score_codex":0.000037280806,"about_ca_system_score_gemma":0.00003137187,"threshold_uncertainty_score":0.9987383},"labels":[],"label_agreement":null},{"id":"W2035368397","doi":"10.1080/10652460802340931","title":"A further refinement of Wilker's inequality","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Inequality; Taylor series; Log sum inequality; Algebra over a field; Rearrangement inequality; Kantorovich inequality; Linear inequality; Pure mathematics; Calculus (dental); Applied mathematics; Mathematical analysis","score_opus":0.1045830446483596,"score_gpt":0.31861751592337634,"score_spread":0.21403447127501674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035368397","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8276014,0.000039246144,0.078101575,0.0017663585,0.00018592745,0.00043575154,0.0001593682,0.00008173449,0.091628656],"genre_scores_gemma":[0.9909826,0.00010102864,0.004082325,0.00007424135,0.0005390865,0.00008198233,0.000013645124,0.000017552113,0.004107546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900293,0.000017963584,0.0004741707,0.000151723,0.00018640455,0.00016681697],"domain_scores_gemma":[0.99939966,0.00016687938,0.000066104556,0.00020109733,0.000082081424,0.00008420468],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016571779,0.00013259421,0.00027472296,0.00005046688,0.0001592135,0.000009810741,0.000075423486,0.00006753333,0.0018600663],"category_scores_gemma":[0.00006586712,0.00009028485,0.00013360796,0.00015280474,0.00016689005,0.00007630914,0.000012962579,0.00013449496,0.000017021064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032803175,0.00029987542,0.00032584142,0.00008605416,0.000043919546,0.0000011453634,0.002596356,4.689512e-7,0.00022512607,0.98705935,0.0051300055,0.004199061],"study_design_scores_gemma":[0.00089620554,0.00031612333,0.001762524,0.00008929892,0.00009186354,0.00004128084,0.0046406696,0.00010606551,0.0009231769,0.9096236,0.08116716,0.0003420342],"about_ca_topic_score_codex":0.00012320148,"about_ca_topic_score_gemma":0.00022616072,"teacher_disagreement_score":0.1633812,"about_ca_system_score_codex":0.000017151837,"about_ca_system_score_gemma":0.000026787176,"threshold_uncertainty_score":0.99905235},"labels":[],"label_agreement":null},{"id":"W2061686177","doi":"10.1080/1065246042000272054","title":"New results of α-calculus","year":2005,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Mathematics; Calculus (dental); Extension (predicate logic); Time-scale calculus; Generalized function; Fourier transform; Algebra over a field; Presentation (obstetrics); Multivariable calculus; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.02741940575945462,"score_gpt":0.27681527689916124,"score_spread":0.24939587113970663,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061686177","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11358667,0.0002902794,0.5687854,0.0041893874,0.00050085364,0.0002873156,0.00012343308,0.00010721908,0.31212944],"genre_scores_gemma":[0.9375277,0.00017284876,0.008461389,0.00006681437,0.0028088377,0.000004676047,0.00001821467,0.000016212443,0.05092331],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990849,0.000008585744,0.00039722768,0.00015957975,0.00018618243,0.00016353864],"domain_scores_gemma":[0.99948895,0.0001342617,0.000058633068,0.0001373414,0.00006302927,0.0001177629],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00014632108,0.00011890471,0.00025279578,0.0001853339,0.00009295013,0.000017212416,0.00007501668,0.00008526208,0.0012898695],"category_scores_gemma":[0.0001333186,0.00008187447,0.0001875199,0.00051734544,0.000059375492,0.00014368829,0.000008275269,0.00014458704,0.000042241703],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020904423,0.00012496405,0.00015968403,0.0000139314625,0.00016416657,0.0000013351906,0.0012182572,0.000008764776,0.000040271476,0.33143178,0.068924755,0.59770304],"study_design_scores_gemma":[0.0034041037,0.00051039533,0.0019083315,0.000058926307,0.0005359792,0.00002489731,0.0028351736,0.00040845887,0.0010181022,0.22990587,0.7589179,0.0004718561],"about_ca_topic_score_codex":0.00023617502,"about_ca_topic_score_gemma":0.0013296902,"teacher_disagreement_score":0.82394105,"about_ca_system_score_codex":0.000024376879,"about_ca_system_score_gemma":0.000044560642,"threshold_uncertainty_score":0.99962306},"labels":[],"label_agreement":null},{"id":"W2067700117","doi":"10.1080/10652461003593294","title":"Integral Representations for the Euler-Mascheroni Constant γ","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Digamma function; Mathematics; Euler's formula; Constant (computer programming); Variety (cybernetics); Calculus (dental); Pure mathematics; Riemann zeta function; Mathematical analysis; Arithmetic zeta function; Computer science; Prime zeta function","score_opus":0.04745206437679829,"score_gpt":0.3326066850075009,"score_spread":0.2851546206307026,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067700117","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08538271,0.000104744766,0.79042256,0.0061398135,0.0053485064,0.0020898934,0.00035576764,0.0003088356,0.10984718],"genre_scores_gemma":[0.88757735,0.00023745699,0.05435413,0.00021665863,0.006337076,0.001230768,0.000053883767,0.00013702366,0.04985564],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989052,0.000012038783,0.0003823089,0.00022925955,0.00018161655,0.0002896181],"domain_scores_gemma":[0.997629,0.0017715024,0.000059272614,0.0002851774,0.00015442015,0.0001006494],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00020351057,0.00019393265,0.0002412667,0.00006479778,0.0005823677,0.00013967005,0.00016716677,0.00011101689,0.0010119553],"category_scores_gemma":[0.00085988763,0.00011231859,0.00022082291,0.00014504437,0.00046816567,0.0002906115,0.00001997911,0.0005228567,0.000018701676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046356745,0.00007630093,0.00004345003,0.000029489533,0.0000645453,8.5207415e-7,0.00081014,0.0000014002821,0.00095887674,0.9844203,0.006634525,0.006913782],"study_design_scores_gemma":[0.0005098144,0.00008430705,0.00012653673,0.000024126508,0.00013369518,0.000027505053,0.005644449,0.0003107608,0.0005373703,0.9187678,0.07366049,0.0001731497],"about_ca_topic_score_codex":0.000046234603,"about_ca_topic_score_gemma":0.003565348,"teacher_disagreement_score":0.80219465,"about_ca_system_score_codex":0.000022602633,"about_ca_system_score_gemma":0.000049519324,"threshold_uncertainty_score":0.99990124},"labels":[],"label_agreement":null},{"id":"W2068652761","doi":"10.1080/10652469.2012.665910","title":"Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Taylor series; Power series; Rational function; Function (biology); Fractional calculus; Series (stratigraphy); Analytic function; Generalization; Mathematical analysis; Series expansion; Combinatorics; Pure mathematics","score_opus":0.032273380123594736,"score_gpt":0.285171054311894,"score_spread":0.2528976741882992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068652761","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6561108,0.00010514893,0.31201378,0.00036765603,0.0013027365,0.00060390023,0.0002819292,0.00004472789,0.02916927],"genre_scores_gemma":[0.9966007,0.000036280286,0.0017022244,0.00003497255,0.0005648898,0.00005690801,0.00006382142,0.00001775867,0.00092247524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985637,0.000049293903,0.00069727964,0.00016483259,0.00028210893,0.00024278057],"domain_scores_gemma":[0.99906325,0.00047042116,0.00014448425,0.00013524323,0.00008307439,0.00010353826],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003591212,0.00019048627,0.00039032858,0.00020326494,0.000113721195,0.000013814726,0.0000608289,0.00014373865,0.0023596613],"category_scores_gemma":[0.00015562653,0.00014133535,0.00015462797,0.000297074,0.00014725218,0.00046307562,0.000011395659,0.00020992012,0.000007864798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001148376,0.0024888876,0.016874295,0.0003589624,0.00024840495,5.451865e-7,0.0046164715,0.000021735175,0.040591393,0.893507,0.0150689045,0.02507501],"study_design_scores_gemma":[0.006268472,0.0020378574,0.05114589,0.0005198248,0.00060667295,0.000060753777,0.010790467,0.0013654688,0.020955369,0.8178271,0.087047525,0.0013746074],"about_ca_topic_score_codex":0.000062260275,"about_ca_topic_score_gemma":0.00016331278,"teacher_disagreement_score":0.34048983,"about_ca_system_score_codex":0.00004185185,"about_ca_system_score_gemma":0.000028595829,"threshold_uncertainty_score":0.9985523},"labels":[],"label_agreement":null},{"id":"W2068653027","doi":"10.1080/10652460903259915","title":"Generalizations of some classical inequalities via a special functional property","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Property (philosophy); Inequality; Pure mathematics; Cauchy distribution; Calculus (dental); Cauchy–Schwarz inequality; Algebra over a field; Applied mathematics; Mathematical analysis; Epistemology","score_opus":0.08058626062063158,"score_gpt":0.2981289012990887,"score_spread":0.21754264067845713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2068653027","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17067532,0.00010064429,0.6267151,0.014264607,0.0015577897,0.0016015439,0.0005905075,0.0003408054,0.18415365],"genre_scores_gemma":[0.9110263,0.00020294444,0.01019426,0.0009414746,0.025363326,0.00026436153,0.0002579078,0.000076275384,0.05167317],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99839765,0.000035135286,0.0007098625,0.0002552335,0.00032216532,0.00027997623],"domain_scores_gemma":[0.99918956,0.00018518892,0.000096186704,0.00021875033,0.00016274831,0.00014757876],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017887045,0.00023131636,0.00040528853,0.00012374553,0.00030079955,0.000056508616,0.00011102082,0.00013988107,0.0023523057],"category_scores_gemma":[0.000100750054,0.00014276413,0.00022165617,0.0002545547,0.00020982411,0.00028283638,0.000014042371,0.00023620651,0.000024242252],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053715336,0.000386106,0.000019853524,0.000046237194,0.000034965127,6.566274e-7,0.00067823246,0.0000047646413,0.00056486536,0.9664535,0.019399617,0.012357493],"study_design_scores_gemma":[0.0004953688,0.00027960763,0.00038686057,0.000047041915,0.000082154234,0.000017070697,0.0009811574,0.0005056451,0.00038601266,0.93484056,0.061726056,0.00025246473],"about_ca_topic_score_codex":0.00003718977,"about_ca_topic_score_gemma":0.0001514742,"teacher_disagreement_score":0.74035096,"about_ca_system_score_codex":0.000040312796,"about_ca_system_score_gemma":0.00006273486,"threshold_uncertainty_score":0.99855965},"labels":[],"label_agreement":null},{"id":"W2078948452","doi":"10.1080/10652460304543","title":"Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function","year":2003,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":286,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Basic hypergeometric series; Hypergeometric function; Barnes integral; Bilateral hypergeometric series; Hypergeometric function of a matrix argument; Hypergeometric identity; Pure mathematics; Analytic function; Confluent hypergeometric function; Function (biology); Generalized function; Algebra over a field","score_opus":0.028815841645196384,"score_gpt":0.24814876926244522,"score_spread":0.21933292761724885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078948452","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6972067,0.00036134405,0.23273818,0.00071656075,0.0011710858,0.00063847797,0.00009569532,0.00020415123,0.066867806],"genre_scores_gemma":[0.97404337,0.000076197866,0.00013275295,0.00009407173,0.00031830822,0.000044650576,0.000034268927,0.000033112683,0.02522325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.998245,0.00012989738,0.00050187897,0.00032658214,0.0004351488,0.0003614945],"domain_scores_gemma":[0.9980963,0.0009480761,0.00018977055,0.00029350212,0.00033997704,0.00013236266],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00070908206,0.00029838958,0.00047473476,0.0006687284,0.0005498263,0.00005870103,0.00011528175,0.00016407593,0.0017797549],"category_scores_gemma":[0.00086164183,0.00016771178,0.00028707876,0.0033622338,0.0003134554,0.0002140069,0.000008793974,0.00037268363,0.000023884082],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009570151,0.0010845311,0.016946334,0.00008064364,0.002253868,0.0000070290803,0.00073367835,0.00030627614,0.000271095,0.9058657,0.060870178,0.010623639],"study_design_scores_gemma":[0.013799648,0.007298448,0.05346603,0.0002955761,0.008951897,0.00021899572,0.04619744,0.00199697,0.00095275854,0.41335556,0.45065415,0.002812524],"about_ca_topic_score_codex":0.00007973243,"about_ca_topic_score_gemma":0.00066178525,"teacher_disagreement_score":0.49251017,"about_ca_system_score_codex":0.00009320316,"about_ca_system_score_gemma":0.00012085493,"threshold_uncertainty_score":0.99913275},"labels":[],"label_agreement":null},{"id":"W2079088525","doi":"10.1080/10652460601135342","title":"A class of nonlinear integral operators preserving subordination and superordination","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Subordination (linguistics); Mathematics; Unit disk; Nonlinear system; Class (philosophy); Fourier integral operator; Integral transform; Differential (mechanical device); Analytic function; Mathematical analysis; Squeeze theorem; Microlocal analysis; Pure mathematics; Univalent function; Space (punctuation); Operator theory; Fixed-point theorem","score_opus":0.022903675012700336,"score_gpt":0.28264551113324515,"score_spread":0.2597418361205448,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079088525","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83409554,0.000087190165,0.13981244,0.00032250295,0.00045965004,0.00024112243,0.000030305911,0.000048734546,0.024902534],"genre_scores_gemma":[0.99395907,0.00007912143,0.0015918068,0.00003339883,0.0006195978,0.0000064632895,0.000020555002,0.000017532211,0.0036724522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887156,0.000021352469,0.00045043824,0.00021523224,0.00022650228,0.00021493672],"domain_scores_gemma":[0.99915785,0.00031017946,0.0000697683,0.000120203506,0.00023234145,0.00010964389],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007273806,0.00016816208,0.00026737864,0.00042021362,0.00019091672,0.000039214945,0.000072587616,0.0001422821,0.0004192855],"category_scores_gemma":[0.00035312827,0.00012587069,0.0001055268,0.00059536146,0.00016238581,0.00033839076,0.000019226927,0.00024160788,0.000004256404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00054061046,0.0003791669,0.021429878,0.00018631802,0.00021077879,0.000005519122,0.0030184924,0.0000067796714,0.00091492524,0.81532,0.0027342245,0.15525328],"study_design_scores_gemma":[0.008541111,0.0037335062,0.07911217,0.00056223053,0.0010989974,0.00019443281,0.080244385,0.010937125,0.012132828,0.6502639,0.15105113,0.002128194],"about_ca_topic_score_codex":0.00013148086,"about_ca_topic_score_gemma":0.0005807474,"teacher_disagreement_score":0.16505612,"about_ca_system_score_codex":0.00005120789,"about_ca_system_score_gemma":0.00003237289,"threshold_uncertainty_score":0.51328576},"labels":[],"label_agreement":null},{"id":"W2109522196","doi":"10.1080/10652460108819348","title":"A certain class of series associated with the zeta function","year":2001,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Dongguk University","keywords":"Series (stratigraphy); Mathematics; Riemann zeta function; Class (philosophy); Function (biology); Computation; Applied mathematics; Calculus (dental); Gamma function; Pure mathematics; Algebra over a field; Algorithm; Computer science; Artificial intelligence","score_opus":0.03193394641827376,"score_gpt":0.256877799929081,"score_spread":0.22494385351080723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109522196","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7857748,0.00007933051,0.053796384,0.005191416,0.0007494936,0.0008241867,0.00011735832,0.00015548081,0.15331155],"genre_scores_gemma":[0.9782191,0.000073110765,0.00023521419,0.00010623127,0.0007293971,0.000069164445,0.0000221005,0.000029589693,0.020516109],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998974,0.000046903057,0.00034996175,0.00017135935,0.00022335503,0.00023440082],"domain_scores_gemma":[0.9990558,0.00044273413,0.00009531721,0.00019914747,0.00013177088,0.00007520823],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003051242,0.00019126134,0.00031733187,0.000079269135,0.00033969124,0.000053884563,0.00008772003,0.000113420014,0.0016363749],"category_scores_gemma":[0.00014529005,0.00009717607,0.000139456,0.00037639547,0.00022875801,0.00020784521,0.000009709573,0.00024124653,0.000012307976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010662706,0.00045414484,0.0011042744,0.00006764176,0.00046928303,0.00000511198,0.0017647728,0.000010789571,0.0005084353,0.94930065,0.029923292,0.015325351],"study_design_scores_gemma":[0.002686377,0.003266488,0.0065873316,0.0003492568,0.001188924,0.00018892389,0.013713929,0.00032103158,0.0005245448,0.4940709,0.47629,0.00081231765],"about_ca_topic_score_codex":0.00006464725,"about_ca_topic_score_gemma":0.0032811027,"teacher_disagreement_score":0.45522976,"about_ca_system_score_codex":0.000028979015,"about_ca_system_score_gemma":0.000041159383,"threshold_uncertainty_score":0.9992763},"labels":[],"label_agreement":null},{"id":"W2110674656","doi":"10.1080/10652460701366169","title":"Several results on the commutative neutrix product of distributions","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Commutative property; Product (mathematics); Heaviside step function; Differentiable function; Distribution (mathematics); Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry","score_opus":0.036020327609306235,"score_gpt":0.29513371672585387,"score_spread":0.25911338911654763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2110674656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45097938,0.000021207348,0.1954806,0.012175931,0.00033346209,0.0007406328,0.00076150196,0.00008320868,0.33942407],"genre_scores_gemma":[0.99732035,0.000011034549,0.0005139031,0.00004741602,0.0003816593,0.0000109220455,0.000023285013,0.000007769214,0.0016836765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989182,0.000038046725,0.00045894663,0.00016370966,0.00020824201,0.00021289151],"domain_scores_gemma":[0.9981901,0.0013389562,0.00006415339,0.00020637254,0.00011443372,0.00008595076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065637816,0.0001424731,0.00025208024,0.000060627222,0.0002738821,0.000022598542,0.0001093493,0.000051157378,0.00044872792],"category_scores_gemma":[0.0005418837,0.0000693361,0.00019154557,0.00034174047,0.00039371714,0.000055591212,0.000013784738,0.00029324985,0.000020255426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025478716,0.0002487911,0.00001436965,0.000017229382,0.00007290377,0.0000014722184,0.00071126706,9.0382724e-7,0.000052770025,0.9928188,0.0017609225,0.0040458124],"study_design_scores_gemma":[0.00036551346,0.00024042785,0.000514285,0.00005356813,0.000120766184,0.000006650662,0.0012838294,0.00008786635,0.0027225658,0.9882306,0.006252703,0.00012122096],"about_ca_topic_score_codex":0.000037948776,"about_ca_topic_score_gemma":0.00022798685,"teacher_disagreement_score":0.54634094,"about_ca_system_score_codex":0.000021816091,"about_ca_system_score_gemma":0.000017260692,"threshold_uncertainty_score":0.4913256},"labels":[],"label_agreement":null},{"id":"W2111280161","doi":"10.1080/10652469.2010.530128","title":"Integral and computational representations of the extended Hurwitz–Lerch zeta function","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":100,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Pure mathematics; Continuation; Polylogarithm; Bernoulli polynomials; Analytic continuation; Riemann zeta function; Hypergeometric function; Algebra over a field; Arithmetic zeta function; Mathematical analysis; Prime zeta function","score_opus":0.06708238984146644,"score_gpt":0.304065859778706,"score_spread":0.23698346993723954,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111280161","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6134887,0.00010836602,0.24579763,0.00057525735,0.0014381194,0.0010176277,0.00013979527,0.00014663216,0.13728791],"genre_scores_gemma":[0.9864716,0.00003123721,0.0080952635,0.000031605534,0.00025350926,0.000042769923,0.000009590076,0.000022045795,0.0050423946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894416,0.000034137087,0.00041597447,0.0002063449,0.00023113812,0.0001682128],"domain_scores_gemma":[0.9992711,0.00024194621,0.00008765564,0.0001818101,0.00014741033,0.00007007318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014258757,0.0001603996,0.00023699696,0.0000956653,0.00027278642,0.000037212616,0.000101707425,0.00007952317,0.0005142032],"category_scores_gemma":[0.00016149541,0.00010069207,0.00013642167,0.00021070456,0.00042916875,0.00031707968,0.000035374203,0.0002501691,0.000005095686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007853055,0.00016064747,0.00071645406,0.000060179755,0.00007416085,7.057416e-7,0.0026290906,0.0000048866928,0.00013619436,0.9912029,0.0009587656,0.003977509],"study_design_scores_gemma":[0.00038441838,0.00012575029,0.014679744,0.00005973904,0.00012637967,0.000026163236,0.0045075337,0.00020043946,0.00028840682,0.978923,0.0005565387,0.00012187118],"about_ca_topic_score_codex":0.000085116015,"about_ca_topic_score_gemma":0.00046529045,"teacher_disagreement_score":0.37298292,"about_ca_system_score_codex":0.000022610002,"about_ca_system_score_gemma":0.000033669152,"threshold_uncertainty_score":0.5630165},"labels":[],"label_agreement":null},{"id":"W2117973273","doi":"10.1080/10652460500422486","title":"A new series expansion for integral powers of arctangent","year":2006,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Ducks Unlimited Canada","funders":"","keywords":"Inverse trigonometric functions; Mathematics; Series (stratigraphy); Series expansion; Taylor series; Trigonometric functions; Mathematical analysis; Function (biology); Power series; Pure mathematics; Geometry","score_opus":0.027685297580498053,"score_gpt":0.2766695988939219,"score_spread":0.24898430131342383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2117973273","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22808234,0.00021435099,0.6799623,0.0022670059,0.0023932161,0.0016266837,0.00043374285,0.00017794431,0.08484241],"genre_scores_gemma":[0.77015316,0.00018907979,0.11895768,0.0001383994,0.008935848,0.00032607766,0.00016742235,0.00014949379,0.100982845],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884295,0.000013008229,0.0005297275,0.0002007825,0.00016336805,0.00025016404],"domain_scores_gemma":[0.9993201,0.00023530453,0.00007553643,0.00016422496,0.000096173266,0.00010864681],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016131304,0.00020554505,0.00037944724,0.00012491355,0.00016760912,0.000041653366,0.00007831238,0.00012016359,0.0012535733],"category_scores_gemma":[0.00008796494,0.00014132723,0.00027926246,0.0001649041,0.00009423563,0.00018497715,0.0000097502625,0.00013298355,0.000008763342],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035726,0.00016650672,0.00008034583,0.00012906505,0.00005387526,7.2733724e-7,0.00050972967,0.000002035845,0.0018686746,0.9112715,0.06333617,0.022224069],"study_design_scores_gemma":[0.0010311872,0.0007099121,0.00020179832,0.00012519212,0.00016402741,0.000025978488,0.0016294754,0.000050217073,0.0043832036,0.82152057,0.16987748,0.0002809547],"about_ca_topic_score_codex":0.0003736329,"about_ca_topic_score_gemma":0.0012032281,"teacher_disagreement_score":0.5610046,"about_ca_system_score_codex":0.000032788146,"about_ca_system_score_gemma":0.00006987633,"threshold_uncertainty_score":0.9996594},"labels":[],"label_agreement":null},{"id":"W2121617265","doi":"10.1080/10652460902749437","title":"A certain convolution approach for subclasses of analytic functions with negative coefficients","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Analytic function; Convolution (computer science); Class (philosophy); Quasi-analytic function; Subclass; Pure mathematics; Term (time); Applied mathematics; Mathematical analysis; Non-analytic smooth function; Global analytic function; Computer science","score_opus":0.030736399289953687,"score_gpt":0.27291622781712743,"score_spread":0.24217982852717373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2121617265","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.052813616,0.00003648318,0.9216774,0.0002087954,0.0001837148,0.0006125701,0.00012105374,0.000059579575,0.024286753],"genre_scores_gemma":[0.98636127,0.000018709126,0.003765437,0.000053752636,0.00040007915,0.000044698478,0.00006764963,0.000016002481,0.009272378],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99880165,0.000023209295,0.00038873559,0.0002897705,0.00023265401,0.00026398784],"domain_scores_gemma":[0.99896425,0.0003404258,0.00011660825,0.00016247554,0.00030621848,0.00011000536],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024201974,0.00021450949,0.00038917814,0.00036110292,0.00029892803,0.000032041764,0.00007709528,0.00011219206,0.00019233981],"category_scores_gemma":[0.00020706884,0.00014428081,0.00020182192,0.0008923177,0.00021822333,0.00017581951,0.0000042264564,0.00017839544,0.000004027106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0042555295,0.0025482853,0.0023701442,0.00026072204,0.00088649953,0.000002555325,0.0024777667,0.0010273545,0.00029156657,0.9191293,0.018255709,0.048494548],"study_design_scores_gemma":[0.01783216,0.018048795,0.015457387,0.0003722922,0.004329016,0.00015781219,0.07342616,0.044920474,0.0015222682,0.782818,0.03870498,0.0024106512],"about_ca_topic_score_codex":0.00004021776,"about_ca_topic_score_gemma":0.000070553986,"teacher_disagreement_score":0.9335477,"about_ca_system_score_codex":0.000067846115,"about_ca_system_score_gemma":0.00008112779,"threshold_uncertainty_score":0.5883601},"labels":[],"label_agreement":null},{"id":"W2123713498","doi":"10.1080/10652460701210276","title":"A note on Bernoulli identities associated with the Weierstrass ℘-function","year":2007,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bernoulli's principle; Bernoulli number; Mathematics; Bernoulli process; Bernoulli polynomials; Function (biology); Euler's formula; Order (exchange); Bernoulli scheme; Pure mathematics; Mathematical analysis; Orthogonal polynomials; Difference polynomials","score_opus":0.026187621955466096,"score_gpt":0.28608936225770354,"score_spread":0.25990174030223745,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123713498","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37112662,0.000031872678,0.47999582,0.0012670929,0.001003477,0.00064975634,0.00006111732,0.00026286935,0.14560136],"genre_scores_gemma":[0.9662505,0.000029904088,0.00050946226,0.00016659069,0.0011206166,0.000041086096,0.000016982445,0.00004845811,0.031816438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987324,0.000019968973,0.0003007924,0.00020887812,0.00039150816,0.00034643692],"domain_scores_gemma":[0.99873036,0.0008212883,0.000079731035,0.00017065679,0.00010825742,0.000089693436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041514548,0.00022401704,0.0002420902,0.00011022094,0.0005181754,0.00012070011,0.00010362583,0.000114170994,0.00033136172],"category_scores_gemma":[0.0002090694,0.00012365538,0.00012313573,0.00024677557,0.00031258393,0.0003832726,0.000010296725,0.00041853078,0.000026973119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003604044,0.00021789284,0.00010918848,0.000035404304,0.00016638721,0.000013428781,0.0018582797,0.000007935695,0.00013789588,0.9866112,0.0054107048,0.0050712847],"study_design_scores_gemma":[0.0008266704,0.0007433377,0.0023270887,0.00016540743,0.00025335688,0.000023499899,0.0074614775,0.000024558407,0.0003807388,0.9763154,0.011161162,0.00031730102],"about_ca_topic_score_codex":0.00002026413,"about_ca_topic_score_gemma":0.004279904,"teacher_disagreement_score":0.5951238,"about_ca_system_score_codex":0.00010647685,"about_ca_system_score_gemma":0.00002498508,"threshold_uncertainty_score":0.504252},"labels":[],"label_agreement":null},{"id":"W2125862164","doi":"10.1080/10652460701712727","title":"Some refined families of Jordan-type inequalities and their applications","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Inequality; Mathematics; Type (biology); Natural (archaeology); Polynomial; Representation (politics); Algebra over a field; Order (exchange); Pure mathematics; Calculus (dental); Geography; Political science; Law; Mathematical analysis","score_opus":0.07646815132561924,"score_gpt":0.2931337338999025,"score_spread":0.21666558257428326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2125862164","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91528565,0.0005624569,0.05193102,0.0013922097,0.00020557585,0.0009094546,0.00041512187,0.00015755456,0.02914096],"genre_scores_gemma":[0.98726547,0.0019313553,0.003553569,0.00012390508,0.0011612738,0.0002462073,0.00004518784,0.0000336772,0.005639349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990166,0.000018405977,0.00047501008,0.00018789925,0.000119986114,0.00018213519],"domain_scores_gemma":[0.99911547,0.0003901063,0.00007131976,0.00021199686,0.00011759788,0.00009353723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012405211,0.00018102332,0.00034963165,0.00009518823,0.00032623223,0.000020680116,0.00008571848,0.00008680175,0.00018630133],"category_scores_gemma":[0.00006341387,0.00012089179,0.000094250354,0.00020894612,0.00036647127,0.00016020192,0.00002046275,0.00015589678,0.000007309933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022585633,0.00011593182,0.000054349857,0.00012376776,0.000035842102,2.4247058e-7,0.0024057142,2.6415645e-7,0.0003593646,0.991462,0.0013136085,0.0041063195],"study_design_scores_gemma":[0.00032906557,0.00015990218,0.00023852581,0.000041750525,0.00003880484,0.000029073528,0.008702296,0.000058875066,0.0008026676,0.9333723,0.05602058,0.00020615483],"about_ca_topic_score_codex":0.000092020855,"about_ca_topic_score_gemma":0.00014386981,"teacher_disagreement_score":0.07197983,"about_ca_system_score_codex":0.000013146927,"about_ca_system_score_gemma":0.00003567344,"threshold_uncertainty_score":0.49298242},"labels":[],"label_agreement":null},{"id":"W2127202408","doi":"10.1080/10652469.2011.643627","title":"Some families of Genocchi type polynomials and their interpolation functions","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Difference polynomials; Orthogonal polynomials; Interpolation (computer graphics); Type (biology); Classical orthogonal polynomials; Discrete orthogonal polynomials; Algebra over a field; Pure mathematics; Wilson polynomials; Gegenbauer polynomials; Macdonald polynomials; Artificial intelligence; Computer science","score_opus":0.04126118493710859,"score_gpt":0.2882539422159174,"score_spread":0.2469927572788088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127202408","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91581017,0.0011203149,0.05428435,0.00023269287,0.0018272956,0.00046164964,0.00014885691,0.0001157602,0.02599893],"genre_scores_gemma":[0.9922983,0.00039488103,0.0018200617,0.000022540497,0.0015164454,0.000018752036,0.000013002614,0.00002471978,0.0038913132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99917376,0.00001871005,0.0003586076,0.00012697343,0.00009835725,0.00022358663],"domain_scores_gemma":[0.99936277,0.00026603322,0.000067641,0.00012889721,0.000072623974,0.00010205802],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001526316,0.00017156056,0.00029788679,0.000138864,0.00016987759,0.00003102634,0.00005000741,0.00008894693,0.0003007464],"category_scores_gemma":[0.0001474773,0.00011696792,0.00009029513,0.0001330736,0.00020995017,0.0006532593,0.000021855785,0.00015816113,0.000012999212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001141458,0.00023718945,0.0015508247,0.00018363018,0.00014825106,2.4436096e-7,0.0072269435,8.6384495e-7,0.0072304495,0.9694648,0.0022171906,0.0116254855],"study_design_scores_gemma":[0.00050872733,0.00028446075,0.002851126,0.000108077395,0.0001511544,0.00002972158,0.018289268,0.00008314162,0.001961,0.95941967,0.016001249,0.00031238247],"about_ca_topic_score_codex":0.000034630026,"about_ca_topic_score_gemma":0.00017118099,"teacher_disagreement_score":0.07648813,"about_ca_system_score_codex":0.000023514258,"about_ca_system_score_gemma":0.000017535425,"threshold_uncertainty_score":0.47698134},"labels":[],"label_agreement":null},{"id":"W2128621253","doi":"10.1080/10652469.2010.535970","title":"Some limit formulas for the Gamma and Psi (or Digamma) functions at their singularities","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Gravitational singularity; Mathematics; Digamma function; Limit (mathematics); Integer (computer science); Limit point; Complex plane; Pure mathematics; Gamma function; Function (biology); Mathematical analysis; Combinatorics; Riemann hypothesis","score_opus":0.1218564987423335,"score_gpt":0.2913389540466208,"score_spread":0.1694824553042873,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128621253","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40745142,0.0021260506,0.51603407,0.0035012201,0.004861482,0.0048308624,0.0011563468,0.00077164336,0.05926688],"genre_scores_gemma":[0.66222495,0.0029417838,0.019761655,0.0005093316,0.008762994,0.0018233561,0.000075097734,0.00030290187,0.3035979],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988018,0.000013176325,0.0003941559,0.00026132842,0.00015750402,0.00037198418],"domain_scores_gemma":[0.9985017,0.00096977426,0.00006527481,0.00024311797,0.00010059077,0.00011949553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001724937,0.00027794432,0.00033499775,0.00008841314,0.000997709,0.00011500571,0.0001261419,0.00012545206,0.0005467168],"category_scores_gemma":[0.00022945297,0.00014754594,0.00021259038,0.00010525185,0.00044968465,0.0005572509,0.00004538271,0.00022361003,0.0000117519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004866701,0.00016703761,0.000084764986,0.00019579293,0.00020270939,0.0000027827455,0.005897017,7.672421e-7,0.00012811404,0.97645396,0.0045974515,0.011782915],"study_design_scores_gemma":[0.0006460894,0.0003575202,0.0002952771,0.00006894106,0.00022506101,0.00006106141,0.009690512,0.00015828482,0.00061581755,0.9345985,0.053028103,0.00025483503],"about_ca_topic_score_codex":0.000033634675,"about_ca_topic_score_gemma":0.0028378533,"teacher_disagreement_score":0.49627244,"about_ca_system_score_codex":0.00005564611,"about_ca_system_score_gemma":0.000030254998,"threshold_uncertainty_score":0.7673672},"labels":[],"label_agreement":null},{"id":"W2145348604","doi":"10.1080/10652469.2012.668904","title":"A new Leibniz rule and its integral analogue for fractional derivatives","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Fractional calculus; Generalization; Chain rule (probability); Product (mathematics); Taylor series; Pure mathematics; Function (biology); Series (stratigraphy); Calculus (dental); Applied mathematics; Algebra over a field; Mathematical analysis; Geometry","score_opus":0.019749066767042644,"score_gpt":0.28154788016369214,"score_spread":0.2617988133966495,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145348604","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06328407,0.000117606134,0.9172287,0.00069990876,0.0002740746,0.00036210477,0.0002613162,0.000025002606,0.0177472],"genre_scores_gemma":[0.9862731,0.000018778952,0.007010467,0.000049791306,0.0035621568,0.00014172691,0.00008265919,0.000016442655,0.0028448587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935544,0.0000054563566,0.0001783552,0.00015058697,0.00006531987,0.00024486764],"domain_scores_gemma":[0.9995397,0.0001259997,0.00003388489,0.000062087085,0.00004743447,0.00019094117],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00005637448,0.00014726349,0.00017123336,0.00003788646,0.00032076763,0.00004375417,0.000044067383,0.000040406867,0.0009518109],"category_scores_gemma":[0.000011037291,0.00010748795,0.00009720009,0.000104064,0.00006079054,0.00030845232,0.000010840615,0.00015015811,0.000016878155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003241529,0.00005471808,0.00067232567,0.0000068704376,0.000042272335,1.9474427e-8,0.00033053278,0.0000026433568,0.00032029737,0.94560134,0.0006724169,0.052264173],"study_design_scores_gemma":[0.00068681734,0.00009923606,0.002268297,0.000023667646,0.000071389615,0.0000041558033,0.0034979705,0.0001915221,0.00097226107,0.76837236,0.22354145,0.00027087514],"about_ca_topic_score_codex":0.000040326635,"about_ca_topic_score_gemma":0.000013930626,"teacher_disagreement_score":0.9229891,"about_ca_system_score_codex":0.000014784711,"about_ca_system_score_gemma":0.000029276836,"threshold_uncertainty_score":0.99996144},"labels":[],"label_agreement":null},{"id":"W2150823516","doi":"10.1080/10652469.2014.924114","title":"Master theorems for a family of integrals","year":2014,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Ducks Unlimited Canada","funders":"","keywords":"Reciprocal; Special functions; Series (stratigraphy); Analytic function; Algebra over a field; Calculus (dental)","score_opus":0.0623584966693535,"score_gpt":0.2947109988161273,"score_spread":0.23235250214677378,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150823516","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2384011,0.000036720885,0.60672194,0.00059973117,0.0010884752,0.0008000961,0.00017965723,0.000076466255,0.15209582],"genre_scores_gemma":[0.9683573,0.00004523922,0.016786044,0.00022363133,0.0025644018,0.0002159588,0.00002678149,0.000058857036,0.011721744],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888957,0.000028635064,0.0005146742,0.00019635844,0.00013598429,0.00023475863],"domain_scores_gemma":[0.99871576,0.0007889924,0.00007620344,0.0002022322,0.000117535106,0.00009925141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046655908,0.00018880164,0.0004244232,0.00011418952,0.00014467502,0.00003985863,0.0000987141,0.00012063592,0.00069062505],"category_scores_gemma":[0.0002997844,0.000120282646,0.0002677554,0.00012893566,0.00014687692,0.000114948336,0.000010462807,0.00014112455,0.000016310716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013162804,0.0001065602,0.000053189786,0.00011489218,0.000050111346,8.4030745e-8,0.00041635951,4.968576e-7,0.00088267424,0.95401186,0.008126378,0.03610575],"study_design_scores_gemma":[0.0007515183,0.0005098893,0.00011767502,0.00008924656,0.000112259586,0.0000060402513,0.0009350149,0.0003067228,0.0009333921,0.86234397,0.13370419,0.00019007624],"about_ca_topic_score_codex":0.000026739897,"about_ca_topic_score_gemma":0.00010897306,"teacher_disagreement_score":0.7299562,"about_ca_system_score_codex":0.000013983967,"about_ca_system_score_gemma":0.000021538477,"threshold_uncertainty_score":0.756186},"labels":[],"label_agreement":null},{"id":"W2152363041","doi":"10.1080/10652469.2011.640327","title":"Bernstein, Pick, Poisson and related integral expressions for Lambert <i>W</i>","year":2011,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Sports Dynamics and Biomechanics","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Lambert W function; Poisson distribution; Riemann–Stieltjes integral; Mathematical analysis; Pure mathematics; Integral equation; Statistics","score_opus":0.012247933145049825,"score_gpt":0.18732355086677283,"score_spread":0.175075617721723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2152363041","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8931991,0.0004285283,0.042821314,0.00026956867,0.0041487888,0.00080382905,0.0003602715,0.00046641126,0.057502195],"genre_scores_gemma":[0.9964892,0.00038881862,0.0009534696,0.000028838153,0.00034598092,0.000054290205,0.000069197835,0.000039399274,0.0016307677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992134,0.0000034442078,0.00025987468,0.00019873906,0.00007591565,0.00024864718],"domain_scores_gemma":[0.9996762,0.000020056652,0.000018018209,0.00010682935,0.000042035983,0.00013683808],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000737741,0.00020024592,0.00019845169,0.00010584467,0.00016360967,0.000038395385,0.0000626751,0.0001734355,0.0002672727],"category_scores_gemma":[0.0000068435206,0.00014786828,0.00011119656,0.0001353006,0.00005927731,0.00018311966,0.000009691583,0.00022656407,0.0000059359963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010154035,0.0005032517,0.003402368,0.00029469983,0.00074568193,0.000050793642,0.014362984,0.00006891461,0.02971346,0.5218905,0.012757764,0.41519418],"study_design_scores_gemma":[0.009661101,0.0030174258,0.025609279,0.0009078085,0.0010546286,0.00065430225,0.01658205,0.06956573,0.013137047,0.26662725,0.5887577,0.0044256793],"about_ca_topic_score_codex":0.000118076154,"about_ca_topic_score_gemma":0.0008324561,"teacher_disagreement_score":0.5759999,"about_ca_system_score_codex":0.000026064574,"about_ca_system_score_gemma":0.000011071189,"threshold_uncertainty_score":0.6029894},"labels":[],"label_agreement":null},{"id":"W2156950514","doi":"10.1080/10652460701635456","title":"Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator","year":2008,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"North Dakota State University","keywords":"Mathematics; Convolution (computer science); Analytic function; Operator (biology); Special functions; Integral transform; Algebra over a field; Function (biology); Pure mathematics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.053086509669780776,"score_gpt":0.2729269648901653,"score_spread":0.21984045522038453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2156950514","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93953365,0.001008407,0.039981708,0.0018023311,0.0022463466,0.000706262,0.00016885156,0.00016612426,0.014386336],"genre_scores_gemma":[0.96934366,0.0008841047,0.00022773664,0.00012314672,0.0018773245,0.000032427255,0.000016720147,0.000030954274,0.027463943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984341,0.000053495536,0.00053395884,0.0002975946,0.0003627427,0.00031807323],"domain_scores_gemma":[0.99858993,0.00060601474,0.00011329327,0.00032210903,0.00022392633,0.000144721],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00033546708,0.0002628499,0.00042059974,0.00033797155,0.0007850626,0.000038097947,0.00017104982,0.00012349537,0.0012142445],"category_scores_gemma":[0.00037723072,0.00015668626,0.00029832686,0.0008508987,0.00050946925,0.00028652418,0.000028557153,0.00038994633,0.000053603468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00073833653,0.0015255677,0.022342676,0.00027360755,0.0015724858,0.00003618955,0.0069390545,0.00020064278,0.0022785806,0.851169,0.09692459,0.015999299],"study_design_scores_gemma":[0.0086400015,0.0038727266,0.039741892,0.0005232807,0.003037935,0.0007434359,0.09633365,0.0046100942,0.0054125558,0.48061493,0.35347882,0.0029906537],"about_ca_topic_score_codex":0.00014574779,"about_ca_topic_score_gemma":0.00033140168,"teacher_disagreement_score":0.37055403,"about_ca_system_score_codex":0.00007217366,"about_ca_system_score_gemma":0.00012887099,"threshold_uncertainty_score":0.99969876},"labels":[],"label_agreement":null},{"id":"W2157584435","doi":"10.1080/10652469.2012.672323","title":"A new transformation formula for fractional derivatives with applications","year":2012,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada; Université du Québec à Chicoutimi","funders":"","keywords":"Mathematics; Laurent series; Fractional calculus; Special functions; Algebra over a field; Taylor series; Transformation (genetics); Chain rule (probability); Calculus (dental); Orthogonal polynomials; Pure mathematics; Applied mathematics; Mathematical analysis","score_opus":0.012715177809428017,"score_gpt":0.26627682736741015,"score_spread":0.25356164955798216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2157584435","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0027769671,0.000021512951,0.95643556,0.00050627044,0.000068610185,0.0007559492,0.00015070244,0.000029340215,0.039255094],"genre_scores_gemma":[0.95292276,0.000009529287,0.039671738,0.000051202802,0.003811132,0.0013347727,0.00020026871,0.000025057741,0.00197356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9993561,0.000003486578,0.00019058684,0.00012429338,0.00008685211,0.00023867076],"domain_scores_gemma":[0.99955785,0.000095042,0.000040750878,0.00008706879,0.000056982695,0.000162291],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000050352868,0.0001407253,0.00013993055,0.00003946629,0.00039904338,0.000040094626,0.000048815487,0.000033036187,0.00069425465],"category_scores_gemma":[0.0000018455909,0.00009752069,0.00008913453,0.00015228889,0.000059314203,0.00045525766,0.0000033861395,0.00011227347,0.000018611581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046727742,0.00008183839,0.00025380662,0.000008913943,0.00003740638,4.1131516e-9,0.0005319687,0.000013175237,0.00011200249,0.8993871,0.00025223888,0.09927478],"study_design_scores_gemma":[0.00074421987,0.000096858894,0.00044415626,0.00001434685,0.00007318263,0.0000031711131,0.0033879478,0.00008900901,0.00070905377,0.4629638,0.5312588,0.00021543549],"about_ca_topic_score_codex":0.000019732217,"about_ca_topic_score_gemma":0.000012563767,"teacher_disagreement_score":0.9501458,"about_ca_system_score_codex":0.000015540214,"about_ca_system_score_gemma":0.000032776723,"threshold_uncertainty_score":0.76016015},"labels":[],"label_agreement":null},{"id":"W2160794625","doi":"10.1080/10652460902867791","title":"Fractional integrals in the matrix-variate cases and connection to statistical distributions","year":2009,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Department of Science and Technology, Ministry of Science and Technology, India","keywords":"Mathematics; Random variate; Scalar (mathematics); Connection (principal bundle); Random matrix; Probability theory; Multiple integral; Matrix (chemical analysis); Pure mathematics; Riemann integral; Fractional calculus; Random variable; Mathematical analysis; Applied mathematics; Operator theory; Fourier integral operator; Statistics","score_opus":0.04936139589528858,"score_gpt":0.3469510212401581,"score_spread":0.2975896253448695,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160794625","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42590514,0.00004339434,0.5498037,0.015881075,0.00074961066,0.00088963745,0.0010335138,0.00009785392,0.005596073],"genre_scores_gemma":[0.99631494,0.000039304723,0.0021388752,0.00020878184,0.00063302525,0.00008445314,0.00015953231,0.000009024319,0.00041205515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987631,0.00007876337,0.00039186614,0.00026254688,0.00024644044,0.00025732283],"domain_scores_gemma":[0.99840933,0.0011922974,0.000041439445,0.00013399465,0.00010152946,0.000121389705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026704147,0.00018808353,0.00021148514,0.0002136648,0.00056410936,0.00015104366,0.00007853011,0.00010324015,0.00039946084],"category_scores_gemma":[0.000819093,0.00013020303,0.00007595276,0.00042905431,0.00010706545,0.0003013524,0.0000086767905,0.0004183136,0.000031931588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010538385,0.00026772183,0.0002740728,0.000004819717,0.000019590818,0.000006692763,0.00038921353,0.000012978253,0.00009126229,0.9836252,0.005965233,0.009237839],"study_design_scores_gemma":[0.0007914606,0.00064408954,0.17784682,0.00005919938,0.00014495572,0.00034422096,0.003194152,0.0006190746,0.000026677848,0.7896292,0.026353482,0.00034667284],"about_ca_topic_score_codex":0.00042669545,"about_ca_topic_score_gemma":0.0031116856,"teacher_disagreement_score":0.57040983,"about_ca_system_score_codex":0.00011008153,"about_ca_system_score_gemma":0.00006334825,"threshold_uncertainty_score":0.5309526},"labels":[],"label_agreement":null},{"id":"W2170781640","doi":"10.1080/10652460500105370","title":"Some mixed multilateral generating relations involving hypergeometric functions","year":2005,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"National Science Council","keywords":"Mathematics; Algebra over a field; Hypergeometric function; Pure mathematics; Lie theory; Adjoint representation of a Lie algebra; Lie conformal algebra","score_opus":0.04086052098724466,"score_gpt":0.2751722779873236,"score_spread":0.23431175700007892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2170781640","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8980732,0.00063896755,0.06735526,0.0024993464,0.0033199769,0.00080853,0.0002167075,0.0004583897,0.026629608],"genre_scores_gemma":[0.8998719,0.00025282768,0.027734729,0.00032817226,0.015410105,0.0002340718,0.000110486944,0.000107201704,0.055950534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9980069,0.000050351493,0.00079629483,0.00039161526,0.00027885352,0.00047603445],"domain_scores_gemma":[0.9986703,0.0005579209,0.00009886648,0.00028643486,0.00013090904,0.0002555884],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003629685,0.00033657986,0.00042725552,0.00048874243,0.0010623387,0.00019288348,0.00011847799,0.0002199851,0.0034649756],"category_scores_gemma":[0.0004018697,0.0002602108,0.00029359516,0.00066228857,0.000116723655,0.00079595443,0.000029567098,0.00049926806,0.0004028949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012128599,0.0009896994,0.0016462107,0.00012411902,0.0003663388,0.0000060567445,0.0023896494,0.000502689,0.005159477,0.7784106,0.097054616,0.11322926],"study_design_scores_gemma":[0.004312742,0.0008530271,0.0035194668,0.00032491205,0.0010107079,0.0002490251,0.0054189884,0.032589193,0.0015875406,0.26553994,0.6821737,0.0024207009],"about_ca_topic_score_codex":0.00007245491,"about_ca_topic_score_gemma":0.0009189814,"teacher_disagreement_score":0.5851191,"about_ca_system_score_codex":0.00012512929,"about_ca_system_score_gemma":0.00006217951,"threshold_uncertainty_score":0.99998504},"labels":[],"label_agreement":null},{"id":"W2530947135","doi":"10.1080/10652469.2016.1221952","title":"New<i>L</i><sup><i>p</i></sup>-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms","year":2016,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Fock space; Mathematics; Pure mathematics; Calculus (dental); Physics; Quantum mechanics; Medicine","score_opus":0.050778984692507204,"score_gpt":0.2685346704804001,"score_spread":0.2177556857878929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2530947135","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1355335,0.00085534545,0.81732905,0.018213622,0.0019497139,0.0034096045,0.0004164833,0.0003231044,0.021969564],"genre_scores_gemma":[0.875047,0.0016647681,0.005932978,0.00064545,0.008847014,0.0010854494,0.000018860721,0.00020509172,0.106553346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99813414,0.000029124618,0.0006263285,0.00041022387,0.0002733904,0.00052680424],"domain_scores_gemma":[0.99817115,0.0010336214,0.00006723706,0.0003267835,0.00012934554,0.00027184],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00041583143,0.0004037539,0.0005041026,0.00009881186,0.0008657595,0.0002336985,0.00020117738,0.00020749508,0.0011123928],"category_scores_gemma":[0.00021804245,0.00017328866,0.00028873995,0.00016777536,0.00030871946,0.0004734644,0.000020678286,0.00021834829,0.000029717768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008690869,0.00017141734,0.00012309336,0.00028030443,0.00037668773,0.0000013894481,0.0065998286,0.0000037181849,0.0014718497,0.6422491,0.04468541,0.3031681],"study_design_scores_gemma":[0.0032638458,0.0007571008,0.00011196997,0.00032900696,0.0005299828,0.00008435865,0.0056992127,0.00043938073,0.0019021052,0.4188639,0.5672897,0.0007294101],"about_ca_topic_score_codex":0.0002279749,"about_ca_topic_score_gemma":0.0014820653,"teacher_disagreement_score":0.81139606,"about_ca_system_score_codex":0.000058228696,"about_ca_system_score_gemma":0.00012595268,"threshold_uncertainty_score":0.99980074},"labels":[],"label_agreement":null},{"id":"W3181323051","doi":"10.1080/10652469.2021.1919103","title":"Symbolic computations via Fourier–Legendre expansions and fractional operators","year":2021,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Legendre polynomials; Legendre function; Hypergeometric function; Integer (computer science); Fourier transform; Hermite polynomials; Transformation (genetics); Series (stratigraphy); Generalized hypergeometric function; Pure mathematics; Legendre transformation; Applied mathematics; Algebra over a field; Mathematical analysis","score_opus":0.03172703377284636,"score_gpt":0.2989702644252747,"score_spread":0.26724323065242833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3181323051","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.31461182,0.00035009065,0.64684886,0.0022188984,0.0012986179,0.0004142537,0.00020032725,0.0002073323,0.033849783],"genre_scores_gemma":[0.92147523,0.00061157555,0.048834596,0.00034457078,0.0028993927,0.00016130888,0.0001311966,0.00010250948,0.025439618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989243,0.000025763618,0.00033991263,0.0002648742,0.00021789038,0.00022726963],"domain_scores_gemma":[0.99913037,0.00034237656,0.000035972233,0.00014565776,0.00017487636,0.00017077646],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007703431,0.00018955099,0.00028259907,0.0000949399,0.0005483122,0.000119417746,0.000050122653,0.00010008996,0.0011305986],"category_scores_gemma":[0.00016073693,0.00015648625,0.000110112705,0.0002244857,0.00018189622,0.0004029566,0.000027427634,0.00029711914,0.000024597359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017302751,0.0002156055,0.00019039528,0.000077554825,0.00010729677,0.000024000356,0.0015929281,0.000021619137,0.0005215326,0.9874293,0.0029716012,0.0068308134],"study_design_scores_gemma":[0.00049894996,0.000064216794,0.0006915862,0.00007524011,0.00011865439,0.00025203018,0.005472455,0.0006747313,0.00044659743,0.9734637,0.017972652,0.0002691997],"about_ca_topic_score_codex":0.000018033088,"about_ca_topic_score_gemma":0.0007183759,"teacher_disagreement_score":0.60686344,"about_ca_system_score_codex":0.000039005765,"about_ca_system_score_gemma":0.00007316603,"threshold_uncertainty_score":0.9997825},"labels":[],"label_agreement":null},{"id":"W4241668801","doi":"10.1080/10652469.2010.515055","title":"Some families of hypergeometric polynomials and associated multiple integral representations","year":2010,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalized hypergeometric function; Pure mathematics; Wilson polynomials; Hypergeometric function; Algebra over a field; Basic hypergeometric series; Barnes integral; Hypergeometric identity; Hypergeometric distribution; Product (mathematics); Orthogonal polynomials; Classical orthogonal polynomials; Hypergeometric function of a matrix argument","score_opus":0.0313295368845515,"score_gpt":0.28667149580496626,"score_spread":0.2553419589204148,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4241668801","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9846823,0.00008236291,0.0017189718,0.000429014,0.0013137662,0.00042332342,0.00031234339,0.00008481835,0.01095309],"genre_scores_gemma":[0.9933662,0.00024323536,0.0022291197,0.00003853712,0.001063274,0.000054126616,0.000033088883,0.000029421042,0.0029430022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849766,0.00003809382,0.0006719314,0.00028339995,0.00021878771,0.00029012302],"domain_scores_gemma":[0.9980265,0.001281066,0.00012816601,0.00024570743,0.00014330378,0.00017528447],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039175848,0.0002424636,0.0005211177,0.000436016,0.00030847135,0.00007423452,0.000107826534,0.00022148111,0.0008290406],"category_scores_gemma":[0.001873302,0.00017664768,0.00020056237,0.0005184823,0.00031451153,0.0003270265,0.000029394534,0.0004575788,0.000013444146],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023302574,0.0010582058,0.018289482,0.00019029088,0.00043170404,0.0000037268458,0.0026850274,0.000002153783,0.03088166,0.88927305,0.013597301,0.04335437],"study_design_scores_gemma":[0.0055133803,0.0012307274,0.053105894,0.00024923132,0.0009487172,0.00011482432,0.011121262,0.0009880132,0.012208684,0.8659452,0.047054484,0.0015195429],"about_ca_topic_score_codex":0.00047300328,"about_ca_topic_score_gemma":0.0024045026,"teacher_disagreement_score":0.041834824,"about_ca_system_score_codex":0.000019994637,"about_ca_system_score_gemma":0.000049388156,"threshold_uncertainty_score":0.90774137},"labels":[],"label_agreement":null},{"id":"W4245330902","doi":"10.1080/10652469.2013.822207","title":"On some formulas for the Appell function<i>F</i><sub>2</sub>(<i>a, b, b</i>′;<i>c, c</i>′;<i>w; z</i>)","year":2013,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Transformation (genetics); Function (biology); Limit (mathematics); Recurrence relation; Gamma function; Pure mathematics; Special functions; Appell series; Mathematical analysis; Hypergeometric function; Generalized hypergeometric function; Hypergeometric function of a matrix argument","score_opus":0.026738214114512975,"score_gpt":0.24992161347192096,"score_spread":0.223183399357408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4245330902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67132586,0.0002672576,0.27548206,0.012384468,0.0069252746,0.0073798937,0.00068556034,0.0005592034,0.024990447],"genre_scores_gemma":[0.9846581,0.00019345847,0.00097518973,0.0021666724,0.004411046,0.002340677,0.00013623052,0.00012546888,0.0049931454],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778146,0.000037354603,0.0006553482,0.00051977736,0.0004595738,0.00054648623],"domain_scores_gemma":[0.9962379,0.0026417435,0.00010852203,0.00046982808,0.0003469321,0.00019509235],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00039027428,0.00041066407,0.00036351293,0.00016586523,0.0010846524,0.00023329869,0.00021615892,0.0001988978,0.0006175659],"category_scores_gemma":[0.00050744443,0.00025523652,0.00043000246,0.0003457258,0.00026364977,0.0007197751,0.000024854531,0.0004939832,0.00069025496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00062315515,0.0003816652,0.00004139234,0.00006750157,0.00020282547,4.126185e-7,0.00026548354,0.0001012011,0.0029629578,0.83830804,0.1167913,0.04025407],"study_design_scores_gemma":[0.0017366396,0.00087128725,0.00071352505,0.000042576212,0.00020662983,0.000012639567,0.0007229394,0.0012195205,0.001938832,0.93140405,0.060726307,0.0004050373],"about_ca_topic_score_codex":0.00008048518,"about_ca_topic_score_gemma":0.00046908928,"teacher_disagreement_score":0.31333226,"about_ca_system_score_codex":0.0001194133,"about_ca_system_score_gemma":0.000093504605,"threshold_uncertainty_score":0.99999},"labels":[],"label_agreement":null},{"id":"W4391427489","doi":"10.1080/10652469.2024.2309203","title":"On a higher-order version of a formula due to Ramanujan","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Ramanujan's sum; Mathematics; Order (exchange); Ramanujan theta function; Pure mathematics; Algebra over a field; Calculus (dental); Combinatorics","score_opus":0.026704369835870826,"score_gpt":0.30423531793079345,"score_spread":0.2775309480949226,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391427489","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42271724,0.00013657921,0.30781135,0.0030351458,0.003128821,0.0010606571,0.00023641075,0.00038721148,0.2614866],"genre_scores_gemma":[0.94023937,0.00005010977,0.009119208,0.00012376804,0.0011988067,0.000083003026,0.000016051854,0.00006715752,0.049102504],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999156,0.000007728651,0.00026832943,0.0001843805,0.00020570941,0.00017782625],"domain_scores_gemma":[0.9993897,0.00031132944,0.00001685407,0.00013013717,0.000060810726,0.00009113789],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000089583555,0.00014775891,0.0002443793,0.00016964175,0.00009125053,0.000055371052,0.00006786346,0.0000724714,0.0013483822],"category_scores_gemma":[0.00010103675,0.00010186936,0.00012501396,0.00027540087,0.00006816914,0.00019437351,0.0000151742415,0.00018447805,0.00010431063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087788525,0.00008729615,0.0000014111718,0.00019971111,0.000040062074,0.00001055906,0.0008270173,0.0000054380776,0.00030703438,0.98044723,0.011169702,0.006816759],"study_design_scores_gemma":[0.00023208234,0.0003700214,0.00003339647,0.0003358049,0.000058001882,0.000011180312,0.00056076696,0.00009036603,0.0007834676,0.95254034,0.04484852,0.000136026],"about_ca_topic_score_codex":0.00001765093,"about_ca_topic_score_gemma":0.00014190635,"teacher_disagreement_score":0.51752216,"about_ca_system_score_codex":0.000046050318,"about_ca_system_score_gemma":0.00002216211,"threshold_uncertainty_score":0.9995645},"labels":[],"label_agreement":null},{"id":"W4400724580","doi":"10.1080/10652469.2024.2378830","title":"A novel integral identity for circular and diamond symmetric functions","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Bank of Canada","funders":"","keywords":"Mathematics; Identity (music); Symmetric function; Diamond; Pure mathematics; Mathematical analysis; Calculus (dental); Algebra over a field; Physics","score_opus":0.011440206855567596,"score_gpt":0.243582156518343,"score_spread":0.2321419496627754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400724580","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35148084,0.00070567563,0.6356581,0.0009950495,0.0010367715,0.00028151573,0.00042907897,0.00008975942,0.009323242],"genre_scores_gemma":[0.99274915,0.00004080647,0.0003360765,0.000025387948,0.0021029513,0.00010365345,0.000109754976,0.000021609865,0.004510585],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99902844,0.0000074003324,0.00022721163,0.00034782212,0.00011620158,0.00027294384],"domain_scores_gemma":[0.999615,0.00008774851,0.000018354425,0.000104045794,0.000053894935,0.00012095426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010117019,0.00019363468,0.00021933942,0.00028390266,0.0003402184,0.00036652392,0.000065962726,0.00005536308,0.0004349567],"category_scores_gemma":[0.000008160722,0.00014990497,0.00027428713,0.0005774222,0.00009344125,0.00035475026,0.000012315543,0.0002476724,0.000019330986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063622225,0.00029754144,0.007005663,0.0001461438,0.0009937327,0.00000387619,0.0008333165,0.000014929868,0.012326226,0.4212307,0.005097417,0.5519868],"study_design_scores_gemma":[0.0061584422,0.0033245618,0.043340262,0.0007603553,0.005694693,0.00022801172,0.016044661,0.02901157,0.0021009897,0.3201895,0.569603,0.0035439315],"about_ca_topic_score_codex":0.0008438838,"about_ca_topic_score_gemma":0.00030965562,"teacher_disagreement_score":0.6412684,"about_ca_system_score_codex":0.00002444314,"about_ca_system_score_gemma":0.000040654715,"threshold_uncertainty_score":0.61129475},"labels":[],"label_agreement":null},{"id":"W4404450670","doi":"10.1080/10652469.2024.2428420","title":"On modular forms and Domb numbers","year":2024,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Killam Trusts","keywords":"Mathematics; Modular design; Algebra over a field; Modular form; Pure mathematics; Computer science","score_opus":0.02493173732496519,"score_gpt":0.3003080374320759,"score_spread":0.2753763001071107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404450670","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6011194,0.0003918154,0.1350741,0.0013250682,0.001571048,0.0006113834,0.00010549793,0.00047687587,0.2593248],"genre_scores_gemma":[0.9670719,0.00036977205,0.0027103743,0.000086272325,0.0010355688,0.00007308236,0.000011339606,0.00006400957,0.028577687],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991524,0.0000066319317,0.00023045056,0.00022919418,0.00017235581,0.00020896479],"domain_scores_gemma":[0.9994626,0.0002840576,0.000013527816,0.00011488743,0.000024223946,0.000100684185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001026509,0.00017592695,0.00021074351,0.000106745545,0.00016656524,0.0001639874,0.000048683305,0.00008302557,0.0005097272],"category_scores_gemma":[0.000083704945,0.00011469318,0.00010451139,0.00012938153,0.00014912126,0.00035208307,0.000012181593,0.00026395422,0.000050809365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024275383,0.000038362257,0.0000047703097,0.0001450878,0.000044576664,0.000010872755,0.0006933552,0.00000176403,0.000078913516,0.98747784,0.002419698,0.009060469],"study_design_scores_gemma":[0.00019796207,0.00013842963,0.000030888517,0.00016866262,0.000055343724,0.00003613677,0.0009866039,0.00027428014,0.00014824962,0.97932404,0.018483466,0.00015594038],"about_ca_topic_score_codex":0.000014079831,"about_ca_topic_score_gemma":0.00022320873,"teacher_disagreement_score":0.36595246,"about_ca_system_score_codex":0.00003841679,"about_ca_system_score_gemma":0.0000151044,"threshold_uncertainty_score":0.5581156},"labels":[],"label_agreement":null},{"id":"W4411707878","doi":"10.1080/10652469.2025.2522262","title":"Ramanujan-type formulae for 1/π <sup>3</sup>","year":2025,"lang":"en","type":"article","venue":"Integral Transforms and Special Functions","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Killam Trusts","keywords":"Ramanujan's sum; Mathematics; Type (biology); Pure mathematics; Combinatorics; Algebra over a field","score_opus":0.03784742734097498,"score_gpt":0.3253138466412618,"score_spread":0.2874664193002868,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411707878","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.070590064,0.00015258715,0.7661552,0.0014248646,0.0012290152,0.0014308703,0.00011340967,0.00028246432,0.15862153],"genre_scores_gemma":[0.55802804,0.00035854464,0.05901176,0.00065446773,0.0042227143,0.0006825377,0.00011533975,0.00015547095,0.37677115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989256,0.000008997051,0.00038776084,0.00023505009,0.00013343603,0.0003091184],"domain_scores_gemma":[0.999057,0.0004866208,0.000034106597,0.00019000207,0.0001545793,0.000077673816],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001468226,0.0002059389,0.00033290588,0.00014773944,0.00033286688,0.000093196904,0.00011724138,0.00012529356,0.0003736037],"category_scores_gemma":[0.00039052617,0.00015452418,0.00019338228,0.00023612141,0.00012930633,0.00029723227,0.000019621764,0.00020123713,0.000019065623],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001228664,0.00010071865,0.0000237486,0.00020306125,0.00007791629,9.315614e-7,0.0005375975,0.000013029112,0.00007780824,0.97272104,0.016845684,0.009275574],"study_design_scores_gemma":[0.00063095096,0.00013476964,0.00002138222,0.0000929099,0.00011097429,0.0000044561743,0.0017982261,0.0006505148,0.00047238552,0.878695,0.11723046,0.00015793701],"about_ca_topic_score_codex":0.0000117038935,"about_ca_topic_score_gemma":0.00015359468,"teacher_disagreement_score":0.7071434,"about_ca_system_score_codex":0.000057184727,"about_ca_system_score_gemma":0.00004931831,"threshold_uncertainty_score":0.63013136},"labels":[],"label_agreement":null}]}