{"meta":{"query_hash":"f37006e69c9f","filters":{"topic":"Functional Equations Stability Results"},"cohort_total":179,"direct_labels_cover":0,"predictions_cover":179,"exported":179,"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/f37006e69c9f","api":"https://metacan.xera.ac/api/v1/cohort?topic=Functional+Equations+Stability+Results"},"results":[{"id":"W124068433","doi":"10.1007/978-0-387-89492-8_3","title":"Trigonometric Functional Equations","year":2009,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Trigonometric functions; Hilbert space; Sine; Pure mathematics; Trigonometry; Abelian group; Mathematical analysis; Algebra over a field","score_opus":0.10279920613892586,"score_gpt":0.29249692323290005,"score_spread":0.1896977170939742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W124068433","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005492057,0.0006977854,0.031087203,0.00033362236,0.0006765252,0.0018103722,0.00019661362,0.00046567502,0.964183],"genre_scores_gemma":[0.013409055,0.00045947146,0.2115221,0.00016961076,0.0007907923,0.00034151762,0.00046805645,0.00052272755,0.7723167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958845,0.000037158617,0.001766529,0.0007474465,0.0010681604,0.0004962435],"domain_scores_gemma":[0.9944403,0.0029909876,0.00077648286,0.0012983761,0.00033183536,0.0001620198],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011865358,0.0007256923,0.0009880634,0.002822246,0.00017224473,0.00009797985,0.00046416977,0.00066429615,0.0013885043],"category_scores_gemma":[0.001971115,0.00075732014,0.0006240243,0.00074427086,0.00019230701,0.00019400597,0.00013155582,0.0010088441,0.00044314406],"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":[0.000024940633,0.00044356365,0.000028329612,0.00029751772,0.00014207167,0.00000857048,0.00025273813,0.00012550119,0.0000051445463,0.99208355,0.0022905804,0.004297489],"study_design_scores_gemma":[0.00062305055,0.00008409525,0.00014790785,0.0003910391,0.00017964192,0.00000961704,0.0000442263,0.001374943,0.000008900772,0.98017275,0.016280321,0.000683517],"about_ca_topic_score_codex":0.000003841504,"about_ca_topic_score_gemma":0.00005568046,"teacher_disagreement_score":0.19186632,"about_ca_system_score_codex":0.00045635758,"about_ca_system_score_gemma":0.00021107373,"threshold_uncertainty_score":0.99952435},"labels":[],"label_agreement":null},{"id":"W1438684603","doi":"","title":"The fundamental theorem of calculus for Lipschitz functions","year":2008,"lang":"en","type":"article","venue":"University of Zagreb University Computing Centre (SRCE)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lipschitz continuity; Calculus (dental); Fundamental theorem of calculus; Lipschitz domain; Fundamental theorem; Pure mathematics; Fixed-point theorem","score_opus":0.030162312972829754,"score_gpt":0.2207069164625382,"score_spread":0.19054460348970845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1438684603","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":[0.9469439,0.000015135081,0.04928874,0.0004874676,0.00021243458,0.00040595946,0.00015999866,0.00008071099,0.002405668],"genre_scores_gemma":[0.98727936,0.000015023556,0.006318932,0.0000065023187,0.000033874338,2.2858913e-11,0.00002863935,0.000009743195,0.006307903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.998822,0.0001406088,0.00020738199,0.00026589545,0.00030184697,0.00026229865],"domain_scores_gemma":[0.99690074,0.0018718814,0.00032319815,0.00036421942,0.00045070375,0.00008927247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002986651,0.00014868456,0.00025698554,0.0001268494,0.0012787041,0.000006393834,0.00041821063,0.00008870088,0.00007048331],"category_scores_gemma":[0.00026048577,0.00015425112,0.00029330896,0.00033119597,0.00065355096,0.00011752445,0.00023139802,0.0001412787,0.000011810774],"study_design_candidate":"qualitative","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":[0.004589397,0.0026564568,0.004422101,0.00056915847,0.00161961,0.000079662546,0.31638816,0.0058536194,0.0014736259,0.6190422,0.03574723,0.0075587663],"study_design_scores_gemma":[0.008661341,0.0005877732,0.010180892,0.0002230116,0.0006732919,0.00006266711,0.9003161,0.046249755,0.0005660702,0.0070504555,0.024588065,0.0008405407],"about_ca_topic_score_codex":0.0002303797,"about_ca_topic_score_gemma":0.0002899773,"teacher_disagreement_score":0.61199176,"about_ca_system_score_codex":0.00025120238,"about_ca_system_score_gemma":0.00018065107,"threshold_uncertainty_score":0.98348874},"labels":[],"label_agreement":null},{"id":"W1544181141","doi":"10.1007/s000100300005","title":"Rudin‚s problem on groups and a generalization of mean value theorem","year":2003,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Generalization; Combinatorics; Mean value; Value (mathematics); Group (periodic table); Mean value theorem (divided differences); Discrete mathematics; Mathematical analysis; Picard–Lindelöf theorem; Statistics; Fixed-point theorem; Physics","score_opus":0.04651138733470629,"score_gpt":0.290533816235197,"score_spread":0.2440224289004907,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1544181141","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":[0.6487309,0.00007024366,0.30504817,0.0006393825,0.00013695486,0.0015703677,0.000027201226,0.00018949532,0.043587312],"genre_scores_gemma":[0.9012435,0.000009787211,0.098146,0.00005440184,0.000027062382,0.00009332664,0.000018310131,0.000036629717,0.00037100332],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980697,0.00024469657,0.0006865755,0.0002973075,0.00051673106,0.00018500559],"domain_scores_gemma":[0.9970828,0.0018044504,0.0003368687,0.00046328804,0.00024585583,0.00006672019],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012285765,0.00020161066,0.00032031274,0.00015625432,0.00013266502,0.000031547883,0.000107155014,0.000088774876,0.00018918602],"category_scores_gemma":[0.0031466999,0.00017079196,0.000075355194,0.00035117526,0.000121386256,0.00016513509,0.00002580214,0.00008631026,0.000051663646],"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":[0.00002367405,0.00032623965,0.00009774078,0.00030854015,0.000040621406,2.9377938e-7,0.0017111261,0.00021639056,0.0007917474,0.99610704,0.0001517414,0.00022483259],"study_design_scores_gemma":[0.00055181433,0.00012226583,0.00016622216,0.00011634817,0.00006309368,0.000011971935,0.00030445875,0.005150699,0.0035314753,0.989716,0.0000933617,0.00017231636],"about_ca_topic_score_codex":0.000006024672,"about_ca_topic_score_gemma":0.000011453515,"teacher_disagreement_score":0.2525126,"about_ca_system_score_codex":0.0000610665,"about_ca_system_score_gemma":0.000053557542,"threshold_uncertainty_score":0.69646937},"labels":[],"label_agreement":null},{"id":"W1572428706","doi":"10.14321/realanalexch.37.1.0221","title":"On Riemann Sums","year":2012,"lang":"en","type":"article","venue":"Real Analysis Exchange","topic":"Functional Equations Stability Results","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":"Simon Fraser University","funders":"","keywords":"Mathematics; Sequence (biology); Riemann hypothesis; Set (abstract data type); Variable (mathematics); Riemann sum; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Riemann Xi function; Computer science","score_opus":0.08443320826215803,"score_gpt":0.345120287406682,"score_spread":0.26068707914452394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1572428706","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":[0.8726737,0.00014989595,0.00737858,0.0007867715,0.00025356287,0.00031285008,0.00009441864,0.00024405307,0.1181062],"genre_scores_gemma":[0.9938282,0.000025649313,0.0011134226,0.00008826514,0.000276544,0.000041277275,0.00008311298,0.000015617114,0.004527961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998735,0.00009982555,0.00025380048,0.0001997164,0.00041760204,0.00029406676],"domain_scores_gemma":[0.99843603,0.000745598,0.00010164064,0.00048829126,0.00009175028,0.00013670106],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006285437,0.0001331601,0.00027936636,0.00029708733,0.00010079098,0.00001733091,0.0001077027,0.000072338175,0.0014970349],"category_scores_gemma":[0.000560024,0.000109374145,0.00027680327,0.0010421375,0.000032942597,0.00012594796,0.0000399498,0.00009445654,0.00052677264],"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":[0.00021717077,0.0026709693,0.04329997,0.00024582868,0.003939281,0.000005552233,0.0048723025,0.00031219862,0.00022945805,0.90188867,0.03652043,0.005798189],"study_design_scores_gemma":[0.0032175498,0.00074968516,0.32345134,0.00010019458,0.01514065,0.000015523165,0.0012789492,0.021242086,0.001508238,0.5756188,0.05500784,0.0026691218],"about_ca_topic_score_codex":0.00021984454,"about_ca_topic_score_gemma":0.0004344602,"teacher_disagreement_score":0.32626984,"about_ca_system_score_codex":0.00012539218,"about_ca_system_score_gemma":0.000011352651,"threshold_uncertainty_score":0.99941576},"labels":[],"label_agreement":null},{"id":"W1573659356","doi":"10.1090/s0002-9947-00-02550-2","title":"Local differentiability of distance functions","year":2000,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":397,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Differentiable function; Pure mathematics","score_opus":0.021247310604353215,"score_gpt":0.2741881862747904,"score_spread":0.2529408756704372,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1573659356","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":[0.37545213,0.0000062185554,0.62202024,0.00047106025,0.000031594813,0.00025747114,0.000115699324,0.000048724763,0.0015968311],"genre_scores_gemma":[0.97816867,0.0000085660395,0.020110294,0.000028707731,0.000011194758,0.00004230549,0.0000021458588,0.000019636347,0.0016084925],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99820673,0.00013326536,0.0006973024,0.00023824876,0.00051087164,0.00021360676],"domain_scores_gemma":[0.9972812,0.0013331615,0.00027428166,0.0008851682,0.00015505758,0.00007114499],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00034466505,0.00017185773,0.0004861733,0.00001806382,0.00019391913,0.000007247868,0.000340393,0.000052101754,0.0026925688],"category_scores_gemma":[0.0001805683,0.00012033845,0.0007981532,0.00071990245,0.0021428799,0.0000846057,0.000013730012,0.00024307749,0.000025796653],"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":[0.0032444536,0.05080013,0.007486797,0.011629346,0.0063208705,0.0000011203471,0.026766015,0.029401876,0.016886562,0.4121319,0.013262154,0.42206874],"study_design_scores_gemma":[0.0013072923,0.00045398294,0.012497905,0.00024103883,0.0009267145,0.000017953973,0.0047885855,0.03602054,0.006804752,0.9350938,0.0012514953,0.0005959095],"about_ca_topic_score_codex":0.00007093944,"about_ca_topic_score_gemma":0.000021215328,"teacher_disagreement_score":0.6027165,"about_ca_system_score_codex":0.000105240746,"about_ca_system_score_gemma":0.00006781027,"threshold_uncertainty_score":0.99821913},"labels":[],"label_agreement":null},{"id":"W1574757579","doi":"10.1090/s0002-9939-00-05545-3","title":"Solution of a functional equation arising in an axiomatization of the utility of binary gambles","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":11,"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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of California, Irvine; Hungarian Scientific Research Fund","keywords":"Binary number; Mathematics; Applied mathematics; Functional equation; Calculus (dental); Mathematical economics; Mathematical analysis; Arithmetic; Differential equation; Medicine","score_opus":0.0611138311893665,"score_gpt":0.29839222836298,"score_spread":0.23727839717361351,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1574757579","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":[0.9950052,0.000008833671,0.0031810082,0.00036035763,0.000021001686,0.00046701808,0.000020937125,0.000017620792,0.00091804203],"genre_scores_gemma":[0.980503,0.0000052289884,0.019391095,0.00001574742,0.000015666341,0.000018700097,0.0000026168098,0.000013986346,0.00003394586],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978137,0.000058325717,0.0010107494,0.00020232127,0.00075762585,0.00015728107],"domain_scores_gemma":[0.99735236,0.00061914267,0.0011936474,0.00026387884,0.0005411089,0.000029881783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011942401,0.00014033119,0.00045366722,0.00004475784,0.00008366133,0.000007321728,0.00032078728,0.00006984298,0.00014893315],"category_scores_gemma":[0.001633566,0.000093708586,0.00031541815,0.0011208619,0.00094103767,0.00024147815,0.000093966155,0.00014462123,8.372218e-7],"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":[0.001206586,0.008319537,0.121423006,0.008631319,0.0003631646,4.0393363e-8,0.02510855,0.0017406457,0.62840325,0.19513364,0.0014185031,0.008251794],"study_design_scores_gemma":[0.0005479987,0.00020453603,0.22977762,0.0005388266,0.00013103457,0.0000029995094,0.0030243702,0.22996989,0.03000032,0.5056462,0.0000029165565,0.00015323095],"about_ca_topic_score_codex":0.00006442627,"about_ca_topic_score_gemma":0.0000047663507,"teacher_disagreement_score":0.5984029,"about_ca_system_score_codex":0.00008183327,"about_ca_system_score_gemma":0.00008709052,"threshold_uncertainty_score":0.38213253},"labels":[],"label_agreement":null},{"id":"W1596088664","doi":"10.1090/s0002-9939-05-07841-x","title":"A general functional equation and its stability","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","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 Waterloo","funders":"","keywords":"Banach space; Bounded function; Mathematics; Scalar (mathematics); Polynomial; BETA (programming language); Combinatorics; Lebesgue measure; Lebesgue integration; Mathematical analysis; Geometry","score_opus":0.06571803089908661,"score_gpt":0.2912306393051762,"score_spread":0.22551260840608955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1596088664","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":[0.99114615,0.000019732704,0.002075648,0.0037816546,0.000023965396,0.00040690423,0.000014324693,0.00007177453,0.0024598415],"genre_scores_gemma":[0.93546546,0.0000070446035,0.0637936,0.00021091713,0.00013871786,0.00005296535,0.0000010313739,0.000019415675,0.00031086066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983687,0.00001726341,0.0004957867,0.00028709872,0.0006065221,0.00022462885],"domain_scores_gemma":[0.99822396,0.0006728499,0.0004366855,0.00014775507,0.0004347171,0.00008402809],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00089145446,0.00016818571,0.00033176906,0.00001957602,0.00017697984,0.000032350115,0.00019899437,0.000050036702,0.00014464188],"category_scores_gemma":[0.002468333,0.00011737958,0.0002470679,0.00039879282,0.00046849292,0.00023421575,0.00018509135,0.00019371368,0.000013938485],"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":[0.00012474095,0.00086945656,0.0037021665,0.00082352606,0.00017306657,1.8667416e-8,0.0031079084,0.00002556055,0.043300107,0.9413709,0.004753664,0.0017488886],"study_design_scores_gemma":[0.0006528239,0.00013037495,0.012399492,0.00007130986,0.00015273456,0.000017113616,0.0016010174,0.08532028,0.019933915,0.87909526,0.0003023524,0.000323324],"about_ca_topic_score_codex":0.000004373822,"about_ca_topic_score_gemma":9.608365e-7,"teacher_disagreement_score":0.08529472,"about_ca_system_score_codex":0.00015016498,"about_ca_system_score_gemma":0.00004552464,"threshold_uncertainty_score":0.47866005},"labels":[],"label_agreement":null},{"id":"W1605525239","doi":"10.1090/s0002-9939-01-06249-9","title":"On the continuity of biconjugate convex functions","year":2001,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","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":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Biconjugate gradient method; Regular polygon; Mathematics; Computer science; Artificial intelligence; Geometry","score_opus":0.03420538097461337,"score_gpt":0.2839339550925175,"score_spread":0.24972857411790414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1605525239","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":[0.974469,0.000004582814,0.0012245899,0.004671301,0.00004314826,0.0005365078,0.000024537916,0.000058870577,0.018967453],"genre_scores_gemma":[0.99423033,0.000007245148,0.0042886683,0.00035374693,0.00003938642,0.000056067638,4.922011e-7,0.000022712207,0.0010013529],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998268,0.000025968811,0.0005928215,0.00022463701,0.00064778957,0.00024075148],"domain_scores_gemma":[0.9954828,0.0028148445,0.00080259336,0.0003350778,0.00050587667,0.00005880448],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010396421,0.00018113568,0.0004750198,0.000022388465,0.00020106166,0.00002375611,0.0005109644,0.000048684124,0.00021403696],"category_scores_gemma":[0.0049000466,0.00009710968,0.0005145202,0.00078394654,0.0014534569,0.00007822189,0.00016880508,0.0002792049,0.000029804882],"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":[0.0001087883,0.00067907735,0.002617012,0.00025259223,0.00019980414,4.0473214e-8,0.0015735417,0.000004746899,0.008516234,0.96972436,0.016069854,0.0002539451],"study_design_scores_gemma":[0.00031620084,0.00019065855,0.0032754717,0.00013368209,0.00013518374,0.000008956065,0.0035018534,0.0016298457,0.00477174,0.98546356,0.0004199846,0.00015287145],"about_ca_topic_score_codex":0.00002086448,"about_ca_topic_score_gemma":0.0000014772196,"teacher_disagreement_score":0.01976132,"about_ca_system_score_codex":0.00007057948,"about_ca_system_score_gemma":0.00004126106,"threshold_uncertainty_score":0.58661675},"labels":[],"label_agreement":null},{"id":"W1734841232","doi":"10.3233/fi-2012-621","title":"Unambiguous Functions in Logarithmic Space","year":2012,"lang":"en","type":"article","venue":"Fundamenta Informaticae","topic":"Functional Equations Stability Results","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":"McMaster University","funders":"","keywords":"Logarithm; Space (punctuation); Mathematics; Computer science; Algebra over a field; Pure mathematics; Mathematical analysis","score_opus":0.06794524300788368,"score_gpt":0.324892316653019,"score_spread":0.2569470736451353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1734841232","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":[0.81216794,0.00005846649,0.012013646,0.0016176865,0.0010852322,0.0010581205,0.000086953514,0.00028868954,0.17162323],"genre_scores_gemma":[0.98521125,0.0000027011852,0.0115929395,0.00025935564,0.0001171755,0.00013125075,0.000057404468,0.000020602563,0.0026073393],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9983102,0.00005453445,0.0006383617,0.000115173534,0.00038287512,0.0004988326],"domain_scores_gemma":[0.9986947,0.00050442474,0.0001387642,0.00044498482,0.00006251193,0.00015461018],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007251865,0.0001774647,0.00022107159,0.00024417526,0.00013113393,0.00005367717,0.0001551383,0.00009398788,0.0013431716],"category_scores_gemma":[0.00087386,0.0001675549,0.00007734618,0.00044472486,0.000083873914,0.0010175608,0.00009933451,0.000252625,0.002061775],"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":[0.00029108068,0.0034330972,0.123251505,0.00094465405,0.00022571691,0.0000042605843,0.020482467,0.00041547607,0.00034619117,0.76207036,0.081113495,0.0074217133],"study_design_scores_gemma":[0.012247324,0.00090207846,0.20517536,0.0005746543,0.00035743142,0.00036433284,0.029180795,0.017725961,0.0014849254,0.3636002,0.36515513,0.0032317955],"about_ca_topic_score_codex":0.00007279729,"about_ca_topic_score_gemma":0.000073864285,"teacher_disagreement_score":0.39847013,"about_ca_system_score_codex":0.00041926748,"about_ca_system_score_gemma":0.00006812463,"threshold_uncertainty_score":0.9995697},"labels":[],"label_agreement":null},{"id":"W179015859","doi":"10.1007/978-94-017-0399-4_4","title":"Quasi-Arithmetic Means","year":2003,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Logarithm; Concave function; Regular polygon; Extension (predicate logic); Exponential function; Convex function; Convex analysis; Algebra over a field; Type (biology); Arithmetic; Pure mathematics; Discrete mathematics; Convex optimization; Computer science; Mathematical analysis","score_opus":0.0814721759505395,"score_gpt":0.292257029663155,"score_spread":0.21078485371261546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W179015859","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000048673646,0.00006708507,0.016879892,0.0006708856,0.000313192,0.00039266524,0.00006227914,0.00017242394,0.9814367],"genre_scores_gemma":[0.0000920936,0.000018335348,0.029771663,0.00030357754,0.00010627866,0.000016224565,0.000043380285,0.000088659115,0.9695598],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832726,0.00002418073,0.0005174658,0.00040605912,0.0005368475,0.00018816521],"domain_scores_gemma":[0.9978534,0.000895183,0.00016325056,0.00074507075,0.000254395,0.00008870497],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00033177057,0.00032510917,0.00040400476,0.00014837303,0.00007780299,0.000030107583,0.00016298272,0.0003631327,0.0091644535],"category_scores_gemma":[0.0008152191,0.00029268285,0.00023187113,0.000032896893,0.00009505988,0.000048452806,0.000041404674,0.00035188685,0.0015934017],"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":[0.000006372701,0.000088874105,6.429475e-7,0.000079826365,0.00006910701,0.0000031322006,0.000043382795,0.0000016267182,9.972077e-7,0.95964706,0.039684404,0.00037455012],"study_design_scores_gemma":[0.00015784595,0.00007034911,4.6748008e-7,0.000040941875,0.000080236205,0.000012299704,0.000012621023,0.00006653092,0.0000067616747,0.70669776,0.29262063,0.00023356544],"about_ca_topic_score_codex":0.000013148718,"about_ca_topic_score_gemma":0.00011946284,"teacher_disagreement_score":0.25294933,"about_ca_system_score_codex":0.00019455807,"about_ca_system_score_gemma":0.00010885811,"threshold_uncertainty_score":0.99995255},"labels":[],"label_agreement":null},{"id":"W179124857","doi":"","title":"Bounding the roots of independence polynomials","year":2001,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bounding overwatch; Independence (probability theory); Combinatorics; Statistics; Artificial intelligence; Computer science","score_opus":0.04643839219436271,"score_gpt":0.30948513663570454,"score_spread":0.26304674444134185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W179124857","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":[0.98981833,0.00004823366,0.000113526985,0.0006295322,0.00096597866,0.00023343727,0.000004593566,0.00004387826,0.008142483],"genre_scores_gemma":[0.998988,0.000006597048,0.00036755973,0.000030775125,0.000013237959,0.000017681912,0.0000019233673,0.000012903454,0.0005613557],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998795,0.0001024895,0.00034512114,0.00015782967,0.00042919826,0.00017039927],"domain_scores_gemma":[0.99770725,0.0014313026,0.00016728764,0.00047817174,0.00017674199,0.000039237682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009058022,0.00009677976,0.00016830568,0.0000515436,0.00015078769,0.00002605471,0.00028073462,0.000072326446,0.00012662861],"category_scores_gemma":[0.0023097938,0.000073073265,0.00006796754,0.00031847312,0.000102071164,0.00012332885,0.00007489659,0.00015583604,0.000042466145],"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":[0.000038278402,0.00014219084,0.007413805,0.000018981435,0.000025690986,0.0000018173097,0.00027980987,0.000010232344,0.0013019228,0.98902863,0.0014430659,0.00029558895],"study_design_scores_gemma":[0.00045622487,0.000048176993,0.008853371,0.000023764953,0.00001963125,0.0000115905805,0.0001543882,0.00012360314,0.0014795432,0.98779935,0.0009478573,0.00008247643],"about_ca_topic_score_codex":0.00007813852,"about_ca_topic_score_gemma":0.000038263912,"teacher_disagreement_score":0.00916963,"about_ca_system_score_codex":0.00008271033,"about_ca_system_score_gemma":0.000092454065,"threshold_uncertainty_score":0.29798412},"labels":[],"label_agreement":null},{"id":"W1832278448","doi":"10.1007/978-1-4757-3240-5_29","title":"Modular Equations and Approximations to π","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":349,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Physics; Combinatorics; Algebra over a field; Mathematics; Pure mathematics","score_opus":0.08105823236318961,"score_gpt":0.2930869947484396,"score_spread":0.21202876238524998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1832278448","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000056941688,0.000033455388,0.06393703,0.0013495988,0.00005742908,0.00079936517,0.0001792341,0.00016897212,0.933418],"genre_scores_gemma":[0.0018616292,0.000019078596,0.060875576,0.00021539131,0.00011857364,0.00008648691,0.0001416939,0.00006903969,0.93661255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866086,0.000012660802,0.0004353826,0.00039026182,0.0003550128,0.00014579124],"domain_scores_gemma":[0.9982586,0.00079936004,0.000080357895,0.0005603329,0.000164823,0.00013654267],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00017830964,0.00024803987,0.00027791012,0.00024100192,0.00015537915,0.000051330906,0.000113829745,0.00021133278,0.004648855],"category_scores_gemma":[0.00055552105,0.00024269272,0.00008915552,0.000051783,0.00006314897,0.00008448815,0.000062862375,0.00019016262,0.0010119714],"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":[0.0000074326517,0.000026552958,2.1613761e-7,0.0000347894,0.00003995982,5.5375057e-7,0.00012494164,0.00009649195,0.000008930129,0.9942376,0.002344846,0.00307766],"study_design_scores_gemma":[0.00012592017,0.000035404948,0.000005606235,0.000048237085,0.000067492496,0.000004105587,0.000010135548,0.0016133045,0.0000039954475,0.88822275,0.109625265,0.00023778083],"about_ca_topic_score_codex":0.000012554516,"about_ca_topic_score_gemma":0.00009614632,"teacher_disagreement_score":0.10728042,"about_ca_system_score_codex":0.000096959935,"about_ca_system_score_gemma":0.000082778475,"threshold_uncertainty_score":0.9997659},"labels":[],"label_agreement":null},{"id":"W186598142","doi":"10.1063/1.1751367","title":"The Associativity Equation Re-Revisited","year":2004,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Functional Equations Stability Results","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 Waterloo","funders":"","keywords":"Associative property; Generalization; Differentiable function; Commutative property; Computer science; Applied mathematics; Element (criminal law); Algebra over a field; Mathematics; Pure mathematics; Mathematical analysis; Law","score_opus":0.09208929802168983,"score_gpt":0.31433267065615805,"score_spread":0.22224337263446822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W186598142","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":[0.7619285,0.00007797841,0.11105287,0.037377317,0.00040862965,0.0017973764,0.000040732946,0.0008075638,0.08650905],"genre_scores_gemma":[0.99595225,0.0000151673385,0.0030669754,0.00010719079,0.00008919866,0.00007592326,0.0000075861576,0.000015017779,0.0006706837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985789,0.0000195812,0.0003493743,0.0002744389,0.0005070138,0.00027068797],"domain_scores_gemma":[0.99778813,0.00075363,0.0002607557,0.00017096083,0.0009632767,0.00006322033],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0011426032,0.00014873271,0.00016515728,0.00004480034,0.00047085257,0.00023311727,0.0002535326,0.00009654571,0.000051161576],"category_scores_gemma":[0.00844544,0.00011025785,0.000068815265,0.00035847342,0.00010852165,0.0003681668,0.000067471476,0.00023108878,0.00011324779],"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":[0.00003680345,0.000106902626,0.0045461482,0.00004163827,0.000033016415,2.4335054e-7,0.0020576895,0.0000017333999,0.0019620557,0.98830384,0.0014873319,0.0014226121],"study_design_scores_gemma":[0.00053266966,0.000082704864,0.0062222206,0.00006165654,0.000030570456,0.0000020539276,0.00079094124,0.0023073754,0.0006835933,0.98752093,0.0015957954,0.00016950279],"about_ca_topic_score_codex":0.000039411123,"about_ca_topic_score_gemma":0.000059977774,"teacher_disagreement_score":0.23402378,"about_ca_system_score_codex":0.00033547144,"about_ca_system_score_gemma":0.00018839595,"threshold_uncertainty_score":0.99990684},"labels":[],"label_agreement":null},{"id":"W1960754904","doi":"10.1090/s0002-9939-00-05686-0","title":"A functional equation arising from ranked additive and separable utility","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":11,"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 Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund; National Science Foundation","keywords":"Monotonic function; Convexity; Rank (graph theory); Separable space; Mathematics; Functional equation; Mathematical economics; Reduction (mathematics); Applied mathematics; Pure mathematics; Mathematical analysis; Combinatorics; Economics; Differential equation","score_opus":0.04184041683842723,"score_gpt":0.2778799811765093,"score_spread":0.23603956433808207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1960754904","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":[0.98904973,0.000015305546,0.0022834155,0.0010049827,0.000022148799,0.00039416805,0.00007482296,0.00007994229,0.007075453],"genre_scores_gemma":[0.9512761,0.00001653234,0.047956545,0.00018376017,0.00007693287,0.00004979909,0.000006736094,0.00002214014,0.00041140255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983153,0.000025201083,0.00049653463,0.0003450237,0.00059018447,0.00022776003],"domain_scores_gemma":[0.997546,0.00153901,0.00038063663,0.00017778046,0.00027645435,0.000080078884],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00063018006,0.00018777176,0.00041387771,0.000016521733,0.0002491968,0.00005027387,0.00018569341,0.00006259509,0.0013596676],"category_scores_gemma":[0.0014669944,0.00013723117,0.00026353335,0.00043359416,0.0008262369,0.00022403078,0.00009108574,0.00023131279,0.000027043345],"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":[0.0036981301,0.007485055,0.032061663,0.003076512,0.004488545,7.1804544e-7,0.046673052,0.000111394416,0.04473076,0.595844,0.13487163,0.1269586],"study_design_scores_gemma":[0.0005123164,0.000056358553,0.01956509,0.00010395411,0.00015704427,0.0000046976206,0.0017292962,0.026947085,0.0020294609,0.9484856,0.00022101474,0.00018805155],"about_ca_topic_score_codex":0.000065075474,"about_ca_topic_score_gemma":0.0000013164694,"teacher_disagreement_score":0.35264167,"about_ca_system_score_codex":0.00009009294,"about_ca_system_score_gemma":0.00004283143,"threshold_uncertainty_score":0.9995532},"labels":[],"label_agreement":null},{"id":"W1965036528","doi":"10.4171/lem/59-3-4","title":"Une version effective du théorème de Lindemann-Weierstrass par des méthodes d'indépendance algébrique","year":2014,"lang":"fr","type":"preprint","venue":"L’Enseignement Mathématique","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Independence (probability theory); Novelty; Algebraic number; Simplicity; Exploit; Mathematics; Algorithm; Algebra over a field; Computer science; Pure mathematics; Physics; Philosophy; Mathematical analysis; Statistics; Quantum mechanics","score_opus":0.019915568253838296,"score_gpt":0.27762345527793164,"score_spread":0.25770788702409336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965036528","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":[0.43974677,0.00033864606,0.53660434,0.0041301437,0.0011338174,0.0046406086,0.0004221416,0.00045342845,0.012530083],"genre_scores_gemma":[0.7753462,0.00051528367,0.21799967,0.00051602453,0.0008245118,0.0018865534,0.00049169525,0.0002836822,0.002136359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9891339,0.0035953394,0.0022775487,0.001964505,0.0014298293,0.001598903],"domain_scores_gemma":[0.98755264,0.0067661502,0.0017687484,0.0021245247,0.0011961536,0.00059176254],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","insufficient_payload"],"category_scores_codex":[0.0067553837,0.0016604868,0.0018754178,0.00037433338,0.0012425699,0.0003795452,0.0011880279,0.0017549344,0.0009533383],"category_scores_gemma":[0.006427647,0.001776418,0.0008997801,0.0006511813,0.0010259826,0.00043624864,0.0011137753,0.002168204,0.0011609101],"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":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021062782,0.006833332,0.0058040344,0.029146845,0.0033126369,0.00030940774,0.061120033,0.07294429,0.010381961,0.7543383,0.04114389,0.012558977],"study_design_scores_gemma":[0.0031652534,0.0010374723,0.043051526,0.00516509,0.00089306734,0.00022076933,0.0015518275,0.06942844,0.01342479,0.8522348,0.007604243,0.002222723],"about_ca_topic_score_codex":0.001352114,"about_ca_topic_score_gemma":0.0014353183,"teacher_disagreement_score":0.33559945,"about_ca_system_score_codex":0.0045810225,"about_ca_system_score_gemma":0.001097795,"threshold_uncertainty_score":0.99995995},"labels":[],"label_agreement":null},{"id":"W1965535120","doi":"10.1080/10586458.2014.928656","title":"Kronecker Constants of Arithmetic Progressions","year":2014,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Kronecker delta; Integer (computer science); Combinatorics; Bounded function; Constant (computer programming); Set (abstract data type); Discrete mathematics; Arithmetic progression; Upper and lower bounds; Mathematical analysis","score_opus":0.059157335467795974,"score_gpt":0.3550424001156637,"score_spread":0.2958850646478677,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965535120","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":[0.9432454,0.000111799454,0.019862596,0.00012168307,0.0002549662,0.0007294237,0.000032069245,0.00012395675,0.035518087],"genre_scores_gemma":[0.785951,7.677078e-7,0.21362194,0.000014269244,0.00003234993,0.000050276274,0.0000054516186,0.000025820906,0.00029811673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984254,0.00006901754,0.00061474944,0.00021115631,0.00047246576,0.0002071988],"domain_scores_gemma":[0.9981361,0.0008871298,0.00026025772,0.0005161993,0.000112271446,0.00008804261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042399843,0.00017813803,0.00034081872,0.00008454714,0.000088508765,0.000018172948,0.0001825148,0.00007590956,0.0005275156],"category_scores_gemma":[0.0012934824,0.00015046692,0.00010458082,0.0001844091,0.00023422821,0.00008947921,0.00009594087,0.00009914695,0.00010176714],"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":[0.000047746897,0.0048915786,0.00037057177,0.00044574172,0.00010018888,0.0000018772739,0.0063095028,0.00001211091,0.06805647,0.91707826,0.001659106,0.00102684],"study_design_scores_gemma":[0.0021087846,0.00059075194,0.00017259139,0.0004913703,0.00008624074,0.000054512784,0.005211827,0.012025915,0.44774517,0.5298298,0.0011145148,0.00056848844],"about_ca_topic_score_codex":0.0000025494007,"about_ca_topic_score_gemma":0.0000015765899,"teacher_disagreement_score":0.38724843,"about_ca_system_score_codex":0.00006575493,"about_ca_system_score_gemma":0.000040730705,"threshold_uncertainty_score":0.6135863},"labels":[],"label_agreement":null},{"id":"W1966379018","doi":"10.2178/jsl/1190150288","title":"A uniqueness theorem for iterations","year":2002,"lang":"en","type":"article","venue":"Journal of Symbolic Logic","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Countable set; Transitive relation; Mathematics; Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis","score_opus":0.14418527123896488,"score_gpt":0.3401671201379032,"score_spread":0.1959818488989383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966379018","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":[0.577141,0.00071873295,0.3654918,0.018651579,0.0014438395,0.0013169565,0.000088996596,0.00012414248,0.03502299],"genre_scores_gemma":[0.9657378,0.000022800392,0.032496944,0.00024657155,0.00035302318,0.000017813602,0.0000017888359,0.00001444414,0.0011088124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898714,0.000068340334,0.0005115687,0.00008214623,0.0002204575,0.00013037866],"domain_scores_gemma":[0.99782234,0.0011024156,0.00030676872,0.00016749409,0.00053876225,0.00006224042],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061187975,0.00008896584,0.00021685183,0.00012805828,0.000103374,0.00003698327,0.0001534334,0.000060756647,0.00032935134],"category_scores_gemma":[0.0021477547,0.000064522945,0.00016726714,0.00016964386,0.000046014342,0.00016944525,0.00001300846,0.00012293871,0.00001689103],"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":[0.000057424517,0.00045593976,0.00012593064,0.00006626925,0.00007208842,0.0000050660824,0.0012369201,0.00019574948,0.0009513315,0.9850179,0.010134407,0.0016810013],"study_design_scores_gemma":[0.00080516323,0.00024517046,0.00019869031,0.00003812503,0.00005625388,0.0001671992,0.00015399355,0.002172237,0.0003264384,0.99093425,0.004809589,0.00009288666],"about_ca_topic_score_codex":7.7850416e-7,"about_ca_topic_score_gemma":0.000002685676,"teacher_disagreement_score":0.38859683,"about_ca_system_score_codex":0.00007991987,"about_ca_system_score_gemma":0.00003936161,"threshold_uncertainty_score":0.36061662},"labels":[],"label_agreement":null},{"id":"W1967219124","doi":"10.1145/1504347.1504364","title":"Unified formulas for arbitrary order symbolic derivatives and anti-derivatives of the power-inverse hyperbolic class 1","year":2009,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Functional Equations Stability Results","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":"Concordia University","funders":"","keywords":"Mathematics; Hyperbolic function; Inverse; Order (exchange); Pure mathematics; Inverse function; Function (biology); Integer (computer science); Class (philosophy); Inverse trigonometric functions; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.06760571465389643,"score_gpt":0.32492423220963457,"score_spread":0.25731851755573815,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967219124","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":[0.967012,0.00017752305,0.01874017,0.011795169,0.00009337292,0.0011141916,0.00003755938,0.00007909159,0.0009509444],"genre_scores_gemma":[0.7433816,0.000057259786,0.2559807,0.00045855032,0.00001826247,0.00004855263,0.00001860048,0.000015368685,0.000021073647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848104,0.00026298422,0.0005956263,0.00026055874,0.00018620041,0.00021359726],"domain_scores_gemma":[0.9929956,0.0035950937,0.00024038054,0.0028313126,0.0002946714,0.00004294349],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040018777,0.00019708554,0.00033984074,0.00016757153,0.00027671602,0.00003728368,0.0014937938,0.00009961338,0.000007620112],"category_scores_gemma":[0.0016040676,0.00016321082,0.00009689474,0.00073360413,0.00041410205,0.00025961245,0.00072454015,0.0002675542,0.0000018536507],"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":[0.000060543614,0.0011271175,0.0050818073,0.00010836702,0.00012586224,2.5381283e-7,0.008117016,0.00015884204,0.002306109,0.97511405,0.001043533,0.0067564924],"study_design_scores_gemma":[0.0014446675,0.00015667135,0.11779123,0.00016038312,0.00003735023,0.000008783569,0.0003979133,0.02279877,0.0010158768,0.8544689,0.0014374292,0.00028205145],"about_ca_topic_score_codex":0.00001492173,"about_ca_topic_score_gemma":0.00006549058,"teacher_disagreement_score":0.23724054,"about_ca_system_score_codex":0.000055130666,"about_ca_system_score_gemma":0.00012250587,"threshold_uncertainty_score":0.6655544},"labels":[],"label_agreement":null},{"id":"W1967252710","doi":"10.1007/s00010-014-0325-z","title":"Kernels of higher order Cauchy differences on free groups","year":2014,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Generator (circuit theory); Abelian group; Order (exchange); Combinatorics; Group (periodic table); Cauchy distribution; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.06710972183460734,"score_gpt":0.30477662759195934,"score_spread":0.237666905757352,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967252710","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":[0.7149136,0.000026143529,0.21761578,0.003100613,0.00053894526,0.0009863354,0.0000614334,0.00032192806,0.062435232],"genre_scores_gemma":[0.9687092,0.0000019409879,0.028455501,0.00010525466,0.00012804069,0.00010138755,0.000016894135,0.00003797632,0.0024438526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766445,0.0001764497,0.0007934162,0.00032973272,0.00079942914,0.00023652072],"domain_scores_gemma":[0.99298567,0.0050847386,0.00040021513,0.0010692442,0.00038265894,0.00007746883],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007626397,0.00024487136,0.0004672343,0.00015094629,0.00011707776,0.000034152148,0.00040565158,0.000115824805,0.0012351418],"category_scores_gemma":[0.0075381175,0.00019427795,0.000118782926,0.00040026332,0.00016159135,0.00015908726,0.00008612494,0.00013403968,0.00037589477],"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":[0.00003878233,0.00052848685,0.0003346956,0.00028548518,0.000054616867,2.3030157e-7,0.0005958392,0.000045463337,0.00021851684,0.99558014,0.0017866407,0.0005311336],"study_design_scores_gemma":[0.00071008515,0.0001823511,0.0058176327,0.0001295367,0.00006349917,0.0000020007253,0.00009441455,0.0052089044,0.00064929825,0.9866553,0.00026881628,0.00021818612],"about_ca_topic_score_codex":0.000017541135,"about_ca_topic_score_gemma":0.000026272412,"teacher_disagreement_score":0.25379556,"about_ca_system_score_codex":0.00005285285,"about_ca_system_score_gemma":0.00004171495,"threshold_uncertainty_score":0.99967784},"labels":[],"label_agreement":null},{"id":"W1969075526","doi":"10.1016/j.jat.2009.12.010","title":"Computation of weighted capacity","year":2010,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Computation; Measure (data warehouse); Set (abstract data type); Upper and lower bounds; Mathematical optimization; Plane (geometry); Value (mathematics); Algorithm; Applied mathematics; Discrete mathematics; Computer science; Data mining; Mathematical analysis; Statistics; Geometry","score_opus":0.03912598833639111,"score_gpt":0.2974893503978603,"score_spread":0.25836336206146915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969075526","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":[0.7605108,0.0000067531805,0.23691799,0.00017502444,0.0003327873,0.0001114581,0.0000059375498,0.000013079639,0.0019261797],"genre_scores_gemma":[0.8774494,8.5600175e-7,0.12238286,0.000014055163,0.00010518915,0.000001653337,0.000002509245,0.00000880715,0.00003466675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985314,0.00017056239,0.00074604864,0.00006990134,0.00040652367,0.00007554625],"domain_scores_gemma":[0.9968376,0.0010513802,0.0009925136,0.0001479135,0.00092232507,0.00004826541],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024544469,0.000079669866,0.0002142716,0.00018874036,0.00004793136,0.000013327082,0.00012352357,0.00007932794,0.00012485353],"category_scores_gemma":[0.002563837,0.0000645782,0.000115892624,0.0001935671,0.000112597874,0.00027628086,0.00001379583,0.00029178982,0.000006593401],"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":[0.0002521349,0.00041242896,0.00016502722,0.00015040617,0.00006806612,5.98728e-7,0.0013873277,0.00011154272,0.038439203,0.9537856,0.0004156162,0.004812074],"study_design_scores_gemma":[0.0005911377,0.00008904987,0.0009654943,0.000034105586,0.000040617568,0.000046131736,0.0001988625,0.0039549046,0.017316211,0.9766218,0.00008036894,0.00006128411],"about_ca_topic_score_codex":0.0000013274436,"about_ca_topic_score_gemma":0.0000032681037,"teacher_disagreement_score":0.11693861,"about_ca_system_score_codex":0.00003467643,"about_ca_system_score_gemma":0.00008462923,"threshold_uncertainty_score":0.30693376},"labels":[],"label_agreement":null},{"id":"W1972254817","doi":"10.1016/j.jpaa.2007.05.006","title":"The pp conjecture for the space of orderings of the field <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si34.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi mathvariant=\"double-struck\">R</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>","year":2007,"lang":"lv","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Conjecture; Mathematics; Conic section; Space (punctuation); Field (mathematics); Subspace topology; Combinatorics; Algebra over a field; Discrete mathematics; Pure mathematics; Geometry; Mathematical analysis; Computer science","score_opus":0.016166330265077095,"score_gpt":0.24567051533185053,"score_spread":0.22950418506677342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972254817","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":[0.92940384,0.0024062842,0.00531601,0.003858277,0.0031728188,0.00024688014,0.00056982465,0.00015749714,0.054868586],"genre_scores_gemma":[0.9885558,0.0012609744,0.0039969436,0.0017191231,0.0027884583,0.0005880375,0.00022980741,0.00062913325,0.00023172586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9892349,0.00034821694,0.003269011,0.0015210059,0.0033670007,0.0022598533],"domain_scores_gemma":[0.9851953,0.0066654766,0.004491626,0.002182714,0.00054043636,0.00092446385],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["research_integrity"],"category_scores_codex":[0.004491766,0.001140359,0.0006899001,0.0004475118,0.0025167994,0.0013463062,0.002743034,0.0025691038,0.012232531],"category_scores_gemma":[0.0034240563,0.0014334022,0.0024346204,0.0013757568,0.002005407,0.001063005,0.0017367078,0.0028636965,0.0003366866],"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":[0.0046985624,0.00055569253,0.000013994114,0.0017999782,0.0026323255,0.00023389938,0.002997745,0.0025217854,0.004948071,0.89262486,0.08435121,0.0026218782],"study_design_scores_gemma":[0.006097134,0.0032338672,0.00012534561,0.002075018,0.0041614585,0.0028083334,0.0076044872,0.041777097,0.89446867,0.025843184,0.009820409,0.0019849816],"about_ca_topic_score_codex":0.0007158902,"about_ca_topic_score_gemma":0.0012435198,"teacher_disagreement_score":0.8895206,"about_ca_system_score_codex":0.000037361664,"about_ca_system_score_gemma":0.0018177419,"threshold_uncertainty_score":0.9996904},"labels":[],"label_agreement":null},{"id":"W1979417373","doi":"10.1007/s00013-004-0608-z","title":"Approximate Carleman theorems and a Denjoy-Carleman maximum principle","year":2004,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Generalization; Extension (predicate logic); Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.040468877559458626,"score_gpt":0.30741114569569766,"score_spread":0.26694226813623906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979417373","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":[0.8777936,0.00012093448,0.090688676,0.0014470932,0.000132972,0.0013237887,0.0000659983,0.0004538817,0.027973074],"genre_scores_gemma":[0.8871707,0.000011123631,0.11179755,0.00011323225,0.00009702593,0.00015883583,0.000026588143,0.000086986234,0.0005379882],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766445,0.000096336014,0.0006404254,0.00056572136,0.0005330919,0.00049999653],"domain_scores_gemma":[0.9977776,0.00082349713,0.00020991196,0.00088970293,0.000100766396,0.0001985404],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00073335686,0.0003541971,0.0004408393,0.00017554221,0.00029772357,0.00010861321,0.00031181067,0.00009524987,0.00010879772],"category_scores_gemma":[0.0009109741,0.00030078785,0.00014360745,0.00023483187,0.00028109513,0.00024287803,0.0002633982,0.00027001262,0.0001373905],"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":[0.000045952493,0.00039579486,0.00017876684,0.00055223063,0.00010411449,0.000012609146,0.006968734,0.00008564131,0.0009665239,0.989779,0.00016071436,0.00074992015],"study_design_scores_gemma":[0.0011815499,0.00007965657,0.00056661176,0.00013989281,0.00007324114,0.00017244686,0.00043802732,0.00071789895,0.0012158072,0.9946928,0.0003872444,0.00033479687],"about_ca_topic_score_codex":0.00003929531,"about_ca_topic_score_gemma":0.000109619104,"teacher_disagreement_score":0.027435085,"about_ca_system_score_codex":0.000110060246,"about_ca_system_score_gemma":0.00010687959,"threshold_uncertainty_score":0.99994445},"labels":[],"label_agreement":null},{"id":"W1979865967","doi":"10.1007/s004930070030","title":"Approximate Homomorphisms II: Group Homomorphisms","year":2000,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Homomorphism; Mathematics; Group (periodic table); Combinatorics; Discrete mathematics; Chemistry","score_opus":0.03743375855110635,"score_gpt":0.27089127136301955,"score_spread":0.23345751281191318,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1979865967","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":[0.801879,0.00036863616,0.0029752047,0.001722493,0.0013028681,0.001375398,0.000099819285,0.0013157543,0.1889608],"genre_scores_gemma":[0.98364604,0.00003573465,0.0051967856,0.00013233926,0.00009669224,0.00016366498,0.000058327892,0.00006508528,0.010605314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778515,0.000112608854,0.00053822424,0.0005066977,0.00059114496,0.00046616356],"domain_scores_gemma":[0.99811167,0.00048813075,0.00012231183,0.0009331843,0.00015496733,0.00018973563],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000448048,0.00029479354,0.0003900148,0.000115354145,0.0005454173,0.000056798435,0.0004301769,0.00015807763,0.003787848],"category_scores_gemma":[0.00040902663,0.00028605753,0.00017065431,0.0006677072,0.00016906895,0.0002287305,0.00011166956,0.00030077723,0.0007693724],"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":[0.000087417866,0.0016171738,0.00009109988,0.00006560382,0.00005088855,0.000018351562,0.00027384836,0.00001220939,0.00015950236,0.9757494,0.015423415,0.00645111],"study_design_scores_gemma":[0.0014687922,0.0003380913,0.0004386866,0.000029336306,0.00005143472,0.000041359315,0.000034949193,0.0009188721,0.00033255073,0.9491032,0.0468486,0.00039414922],"about_ca_topic_score_codex":0.000019164276,"about_ca_topic_score_gemma":0.00000224201,"teacher_disagreement_score":0.18176705,"about_ca_system_score_codex":0.0002483757,"about_ca_system_score_gemma":0.000058863177,"threshold_uncertainty_score":0.9999592},"labels":[],"label_agreement":null},{"id":"W1980446981","doi":"10.4064/cm95-2-1","title":"An extension theorem for a Matkowski–Sutô problem","year":2003,"lang":"en","type":"article","venue":"Colloquium Mathematicum","topic":"Functional Equations Stability Results","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":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund","keywords":"Mathematics; Lambda; Extension (predicate logic); Interval (graph theory); Constant (computer programming); Combinatorics; Discrete mathematics; Pure mathematics; Physics; Quantum mechanics; Computer science","score_opus":0.06046046292117901,"score_gpt":0.33396905408410976,"score_spread":0.27350859116293075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980446981","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":[0.35785633,0.00013458618,0.54176605,0.0011139482,0.0011404655,0.010787466,0.00020870884,0.0014162525,0.0855762],"genre_scores_gemma":[0.5565638,0.0000023308266,0.43813175,0.0000935222,0.00010425099,0.0010113077,0.000030616127,0.00011961484,0.0039428063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974202,0.00020605867,0.0007871471,0.00058053667,0.000497606,0.00050844066],"domain_scores_gemma":[0.99631923,0.0014954738,0.00029694507,0.0011736713,0.00051872886,0.00019595426],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002029049,0.00034040672,0.0005015202,0.0001497144,0.00033645742,0.00012166378,0.00031524166,0.00017445713,0.0004014031],"category_scores_gemma":[0.00320877,0.00028913358,0.00022180758,0.00038495127,0.00011726296,0.0003292872,0.000037290167,0.00014193617,0.00014686212],"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":[0.00009114027,0.0009402992,0.00001236717,0.00065325695,0.000043063363,0.000001778364,0.0011615189,0.00003924942,0.0064496277,0.9843655,0.006081764,0.0001604308],"study_design_scores_gemma":[0.0011883193,0.00030892782,0.000015807502,0.000116448056,0.00009910489,0.00007724469,0.0010144672,0.0039237523,0.004983406,0.9849311,0.002972828,0.0003686082],"about_ca_topic_score_codex":0.0000028701518,"about_ca_topic_score_gemma":0.000010432701,"teacher_disagreement_score":0.19870748,"about_ca_system_score_codex":0.00015468194,"about_ca_system_score_gemma":0.00018508578,"threshold_uncertainty_score":0.9999561},"labels":[],"label_agreement":null},{"id":"W1981070073","doi":"10.1090/s0002-9939-2011-11130-4","title":"Arithmetic normal functions and filtrations on Chow groups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Arithmetic; Pure mathematics","score_opus":0.047147879029121605,"score_gpt":0.2650234198812415,"score_spread":0.2178755408521199,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981070073","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":[0.96787083,0.000004392639,0.0018173587,0.00096796727,0.000042432523,0.00041288245,0.00002400788,0.00009185651,0.028768256],"genre_scores_gemma":[0.9462627,0.000004588242,0.052734196,0.00017725881,0.000035709178,0.00007949349,8.6130757e-7,0.000023979892,0.000681178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986936,0.000012813224,0.00039972452,0.00025525712,0.0004109178,0.00022770955],"domain_scores_gemma":[0.9985025,0.0006077995,0.00036211335,0.00020840715,0.00022683747,0.0000923276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043525916,0.00017600862,0.0003182363,0.00003267762,0.0002615208,0.000029059203,0.000254882,0.000049256992,0.00012433273],"category_scores_gemma":[0.0014288129,0.000120896126,0.00025627261,0.00050556305,0.00087121053,0.00015301719,0.00013027244,0.0002500254,0.000021859307],"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":[0.00009677921,0.0014883077,0.005045265,0.00052476226,0.00024707225,1.5986716e-7,0.0064457697,0.0000019092604,0.0025658247,0.9756897,0.0071556503,0.0007388145],"study_design_scores_gemma":[0.00039619626,0.0004625663,0.031715255,0.0001123898,0.00021125832,0.000044532233,0.0061337105,0.0016709503,0.0016026946,0.9573017,0.0000785785,0.00027020433],"about_ca_topic_score_codex":0.0000148415265,"about_ca_topic_score_gemma":0.0000015254776,"teacher_disagreement_score":0.050916836,"about_ca_system_score_codex":0.000055830216,"about_ca_system_score_gemma":0.000027640634,"threshold_uncertainty_score":0.4930001},"labels":[],"label_agreement":null},{"id":"W1981474194","doi":"10.1007/pl00000136","title":"A functional equation generated by event commutativity in separable and additive utility theory","year":2001,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Separable space; Order (exchange); Differentiable function; Commutative property; Event (particle physics); Combinatorics; Function (biology); Pure mathematics; Mathematical analysis; Physics","score_opus":0.07981121703752203,"score_gpt":0.3175378349053706,"score_spread":0.23772661786784854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981474194","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":[0.5509689,0.00011708001,0.44313547,0.0008252991,0.00008433188,0.0008779371,0.00011036945,0.00013679072,0.003743832],"genre_scores_gemma":[0.9911677,0.000028219967,0.0065985518,0.000100097604,0.000040887957,0.00034000436,0.00034104846,0.00003158659,0.0013518982],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972273,0.0006244302,0.00080951874,0.0004503635,0.00057742116,0.00031093167],"domain_scores_gemma":[0.99345756,0.0054383627,0.00028626516,0.00042354013,0.000294574,0.00009968694],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002558108,0.00027030372,0.0003831236,0.00017583602,0.0002462379,0.00006549432,0.00011934948,0.00013288663,0.0014472366],"category_scores_gemma":[0.004801095,0.0002577891,0.00007390901,0.00059982325,0.00018032873,0.00048037534,0.00006968058,0.00022814705,0.00015974569],"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":[0.0008975979,0.003506768,0.0039491053,0.0003349831,0.00021606694,0.000009138224,0.0045925584,0.0006123651,0.0020838056,0.95918447,0.01099046,0.013622707],"study_design_scores_gemma":[0.0011648124,0.00006385966,0.00800283,0.00007143164,0.000050242095,0.00002497134,0.00065485877,0.08491707,0.00054574886,0.90386987,0.00034850664,0.0002858009],"about_ca_topic_score_codex":0.000054307333,"about_ca_topic_score_gemma":0.00015751526,"teacher_disagreement_score":0.4401988,"about_ca_system_score_codex":0.00019782687,"about_ca_system_score_gemma":0.00010258573,"threshold_uncertainty_score":0.9999874},"labels":[],"label_agreement":null},{"id":"W1981796934","doi":"10.1007/s00020-010-1740-8","title":"A Levi-Civitá Equation on Compact Groups and Nonabelian Fourier Analysis","year":2010,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Fourier transform; Product (mathematics); Group (periodic table); Mathematical analysis; Operator (biology); Compact group; Fourier analysis; Type (biology); Pure mathematics; Physics; Geometry; Lie group","score_opus":0.044328018879714694,"score_gpt":0.31284677335289135,"score_spread":0.26851875447317664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981796934","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":[0.9435761,0.000042610893,0.051752657,0.0014156706,0.00019624905,0.00039046357,0.00012082757,0.000086736465,0.0024186922],"genre_scores_gemma":[0.99359554,0.00000680153,0.005176712,0.0002906572,0.000109724584,0.00004426409,0.000070537586,0.00002343384,0.0006823007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99843025,0.00022410098,0.00040984637,0.0003993402,0.00031912304,0.00021733074],"domain_scores_gemma":[0.9963618,0.0026432585,0.00010983141,0.0004672838,0.0002552703,0.00016253516],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014096156,0.00023378234,0.00031828007,0.0003972033,0.00039979815,0.00018350795,0.00012226771,0.00013953942,0.000496935],"category_scores_gemma":[0.0035904911,0.0001823804,0.00012468365,0.00062120444,0.00023804915,0.00027536758,0.000037302856,0.0004139628,0.000042135885],"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":[0.00008795918,0.00018660077,0.0013064991,0.000015145489,0.00023283667,0.0000010883922,0.00081277546,0.00009005318,0.0016333273,0.9896515,0.00010721573,0.005875008],"study_design_scores_gemma":[0.0011989626,0.00034030477,0.015332245,0.00004893941,0.00079989457,0.000009706114,0.0013485772,0.07996784,0.0006465186,0.8988712,0.0008830953,0.0005527515],"about_ca_topic_score_codex":0.000095387026,"about_ca_topic_score_gemma":0.00080467307,"teacher_disagreement_score":0.090780325,"about_ca_system_score_codex":0.000049553393,"about_ca_system_score_gemma":0.0000743251,"threshold_uncertainty_score":0.7437257},"labels":[],"label_agreement":null},{"id":"W1985129289","doi":"10.1016/j.jmaa.2004.09.040","title":"On a functional equation arising from comparison of utility representations","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Monotonic function; Distributivity; Functional equation; Equivalence (formal languages); Pure mathematics; Applied mathematics; Mathematical analysis; Distributive property; Differential equation","score_opus":0.11477914201050181,"score_gpt":0.37903299818105235,"score_spread":0.2642538561705505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1985129289","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":[0.27113277,0.00004338763,0.7267491,0.00094075897,0.000010106097,0.00015055337,0.00003609332,0.000009935699,0.0009272967],"genre_scores_gemma":[0.93344426,0.0000055862733,0.06627801,0.000024078658,0.00012945442,0.000022575752,0.000024907418,0.000007011658,0.00006411269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976843,0.00009348931,0.0013305373,0.00018678975,0.00060773676,0.000097160715],"domain_scores_gemma":[0.99434394,0.0038166929,0.000890544,0.00034014878,0.0005084191,0.00010025261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073531707,0.00011726428,0.00052964035,0.00031266877,0.00013817624,0.000033984965,0.000119047036,0.00006901397,0.0006606658],"category_scores_gemma":[0.0013329334,0.000093588525,0.00030924616,0.0007293649,0.00011099457,0.0001517321,0.000028638848,0.00019346815,0.000016972941],"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":[0.0001858257,0.005099847,0.009359119,0.00010837801,0.0021882372,3.320139e-7,0.0013948298,0.009850945,0.001639629,0.94872165,0.001382415,0.020068796],"study_design_scores_gemma":[0.0004580659,0.00006760145,0.0142699955,0.000037343827,0.001775575,0.0000032527307,0.0006049492,0.11341295,0.0009943806,0.8680063,0.00026108924,0.00010849753],"about_ca_topic_score_codex":0.000008957803,"about_ca_topic_score_gemma":0.000025257212,"teacher_disagreement_score":0.6623115,"about_ca_system_score_codex":0.00005297615,"about_ca_system_score_gemma":0.000047866866,"threshold_uncertainty_score":0.7233827},"labels":[],"label_agreement":null},{"id":"W1990012112","doi":"10.1216/rmj-2013-43-1-149","title":"Arguments of zeros of highly log concave polynomials","year":2013,"lang":"en","type":"preprint","venue":"Rocky Mountain Journal of Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Inverse; Combinatorics; BETA (programming language); Polynomial; Piecewise; Function (biology); Extension (predicate logic); Complex plane; Mathematical analysis; Geometry","score_opus":0.05965984505897967,"score_gpt":0.3192528315559428,"score_spread":0.25959298649696316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990012112","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":[0.9648485,0.0003624783,0.03142808,0.00029479538,0.0006958795,0.0010863498,0.00030048192,0.000024898816,0.0009585152],"genre_scores_gemma":[0.8701641,0.00009672764,0.12879744,0.000023129325,0.00026029197,0.000022831064,0.000017519847,0.00008882442,0.0005291606],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99297297,0.00026559219,0.004499416,0.00029172862,0.0016213515,0.00034892102],"domain_scores_gemma":[0.98466563,0.003321506,0.008219677,0.0010705149,0.002533967,0.00018870836],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026059307,0.00053049694,0.002191248,0.00052090915,0.00006222219,0.00005194327,0.0010323224,0.0005403492,0.00033130284],"category_scores_gemma":[0.0058733583,0.00045066848,0.0007448248,0.00021228568,0.0002222899,0.00019381223,0.0005967829,0.00092628004,0.000027190305],"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":[0.001992648,0.032664474,0.005286456,0.10957933,0.019304378,0.00013152178,0.05519225,0.04020699,0.1389536,0.5148712,0.07814267,0.0036744766],"study_design_scores_gemma":[0.001875306,0.0005184226,0.00014093745,0.0030055516,0.000874425,0.00011776079,0.0018334008,0.0018668146,0.039569482,0.94956076,0.00016359141,0.0004735685],"about_ca_topic_score_codex":0.000040642666,"about_ca_topic_score_gemma":0.0000041556896,"teacher_disagreement_score":0.43468952,"about_ca_system_score_codex":0.00044933136,"about_ca_system_score_gemma":0.00080080604,"threshold_uncertainty_score":0.9997945},"labels":[],"label_agreement":null},{"id":"W1997139262","doi":"10.1007/s000100050127","title":"On a functional equation arising from joint-receipt utility models","year":2000,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Monotonic function; Functional equation; Differentiable function; Functional differential equation; Function (biology); Combinatorics; Mathematical analysis; Lebesgue integration; Differential equation","score_opus":0.1926273739523201,"score_gpt":0.29953734419785655,"score_spread":0.10690997024553645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997139262","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":[0.4368859,0.00002535448,0.5219002,0.0012195593,0.00024697254,0.00085048674,0.00012172908,0.00043322137,0.038316593],"genre_scores_gemma":[0.95836073,0.0000062380664,0.038349442,0.00026439657,0.00021042612,0.0002014088,0.0003365905,0.00006559585,0.0022051588],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962442,0.00025375423,0.0011646404,0.0006937166,0.0012557139,0.00038796652],"domain_scores_gemma":[0.9938913,0.004315974,0.00031119413,0.0010034201,0.0003251628,0.00015292928],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00111535,0.00038433966,0.00048616162,0.00018850938,0.0004468473,0.00013474032,0.00021877373,0.00019837722,0.01589201],"category_scores_gemma":[0.0029641374,0.00036067664,0.0002332241,0.00046277663,0.00012248631,0.0007079604,0.000039122035,0.00029912157,0.003058051],"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":[0.0003576131,0.0014013932,0.000031869495,0.00011685548,0.00015544685,0.000002225492,0.0018549642,0.008664268,0.0003172563,0.9682478,0.0049349577,0.013915394],"study_design_scores_gemma":[0.000659453,0.000052803563,0.000745343,0.00010039654,0.000068130066,0.0000039550146,0.00011880552,0.2519107,0.0002667423,0.7456773,0.00013219376,0.00026420338],"about_ca_topic_score_codex":0.000095727126,"about_ca_topic_score_gemma":0.000046931695,"teacher_disagreement_score":0.52147484,"about_ca_system_score_codex":0.00023540223,"about_ca_system_score_gemma":0.00014081072,"threshold_uncertainty_score":0.99988455},"labels":[],"label_agreement":null},{"id":"W2000225109","doi":"10.5705/ss.2011.038a","title":"On the Grenander estimator at zero","year":2011,"lang":"en","type":"article","venue":"Statistica Sinica","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":26,"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":"National Institute of Allergy and Infectious Diseases","keywords":"Zero (linguistics); Monotone polygon; Estimator; Limit (mathematics); Infinity; Mathematics; Applied mathematics; Regular polygon; Mathematical optimization; Computer science; Mathematical analysis; Statistics","score_opus":0.21048706925434896,"score_gpt":0.3369452347161485,"score_spread":0.12645816546179955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000225109","genre_codex":"other","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":[0.10183213,0.000044417062,0.37000272,0.00800581,0.0014206604,0.0021064256,0.0015072733,0.0006519849,0.51442856],"genre_scores_gemma":[0.9284832,0.0000017512014,0.06813123,0.00033060522,0.000027654309,0.000063366766,0.000016608872,0.000030104557,0.0029155002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876356,0.00011442828,0.00032923114,0.0002530468,0.00032668398,0.00021305296],"domain_scores_gemma":[0.9922929,0.0067926385,0.00010558097,0.00062210497,0.00010703789,0.00007972874],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000389368,0.00013772723,0.00015694433,0.000030126803,0.00026342197,0.00001735986,0.00019559,0.00005291697,0.004178231],"category_scores_gemma":[0.008707442,0.00008738883,0.000056674144,0.00011178938,0.00022678163,0.000036825226,0.00007749238,0.00014340755,0.0013053172],"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":[0.00012213024,0.00015987782,0.0000542633,0.000015135413,0.000028541956,0.0000042713114,0.00029472617,0.0000011415266,0.000016963315,0.90706927,0.09190077,0.00033291543],"study_design_scores_gemma":[0.00029555868,0.0001441279,0.002072355,0.0000195379,0.0000369026,0.0000063892935,0.000025329642,0.00058412,0.00013950562,0.9944345,0.0021200373,0.000121641024],"about_ca_topic_score_codex":0.000017455137,"about_ca_topic_score_gemma":0.000033278786,"teacher_disagreement_score":0.82665104,"about_ca_system_score_codex":0.000083107094,"about_ca_system_score_gemma":0.000069082496,"threshold_uncertainty_score":0.9996426},"labels":[],"label_agreement":null},{"id":"W2004977209","doi":"10.1007/s00013-012-0460-5","title":"The moment problem for continuous positive semidefinite linear functionals","year":2012,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Combinatorics; Closure (psychology); Regular polygon; Countable set; Norm (philosophy); Positive-definite matrix; Polyhedron; Cone (formal languages); Convex cone; Discrete mathematics; Convex set; Convex optimization; Geometry","score_opus":0.06486413992271661,"score_gpt":0.32868288330710055,"score_spread":0.26381874338438394,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004977209","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":[0.12443512,0.0010554064,0.75494117,0.013185417,0.00137494,0.008915741,0.0008815921,0.0007186523,0.09449198],"genre_scores_gemma":[0.5331009,0.00004100167,0.43950418,0.00075329153,0.0013154648,0.0031079086,0.00026006292,0.00021199425,0.021705173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99807173,0.0001191732,0.00058856537,0.00024907925,0.00043425127,0.0005372],"domain_scores_gemma":[0.9909167,0.007982273,0.0002416482,0.0004862165,0.00024242452,0.00013068401],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014679926,0.00022849765,0.00027427037,0.00006635014,0.0005482347,0.00005547608,0.00020929995,0.000059159225,0.00007300717],"category_scores_gemma":[0.0013482105,0.0001548214,0.00020048823,0.0001431957,0.00013053337,0.00019297711,0.000096586904,0.00016314723,0.00021980761],"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":[0.00014540313,0.00053614366,0.00018875011,0.00017791029,0.00023610854,2.7049356e-7,0.0034521956,0.000026768163,0.00036930267,0.97662616,0.016140185,0.0021007773],"study_design_scores_gemma":[0.00075987616,0.00012323582,0.0006303792,0.00008217108,0.00011407292,0.000035423393,0.00057697564,0.0011542374,0.0009160531,0.96680456,0.028542358,0.00026065894],"about_ca_topic_score_codex":0.0000055246837,"about_ca_topic_score_gemma":0.000009264137,"teacher_disagreement_score":0.4086658,"about_ca_system_score_codex":0.00008755662,"about_ca_system_score_gemma":0.00006631821,"threshold_uncertainty_score":0.63134336},"labels":[],"label_agreement":null},{"id":"W2005570059","doi":"10.1017/s0305004106009947","title":"On positive cosine sums","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Trigonometric functions; Set (abstract data type); Mathematical analysis; Pure mathematics; Arithmetic; Computer science; Geometry","score_opus":0.03856725739056618,"score_gpt":0.29480658697064077,"score_spread":0.2562393295800746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005570059","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":[0.8430176,0.000010838765,0.003263339,0.024539933,0.0001359204,0.0011384691,0.000067713976,0.0001884156,0.12763777],"genre_scores_gemma":[0.99007505,0.0000010834742,0.008285405,0.00075811386,0.0002552634,0.000018284956,0.0000027669541,0.000045629593,0.00055840315],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971715,0.000014532181,0.0008315923,0.000406954,0.0011340366,0.000441339],"domain_scores_gemma":[0.9959498,0.0026540598,0.00034042427,0.00030327833,0.00057094416,0.00018147254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018495702,0.00029897434,0.00047236108,0.000038073205,0.0002541525,0.000036514928,0.0005302229,0.0002497527,0.00006990613],"category_scores_gemma":[0.004515804,0.000197371,0.0006523241,0.00051335956,0.0006263744,0.000103346574,0.00025742478,0.00061328313,0.000057328612],"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":[0.00014526004,0.0008108616,0.00006348349,0.0003533314,0.00008313342,3.7713883e-7,0.00023060683,0.0000013486649,0.003087649,0.9849818,0.010196214,0.000045933262],"study_design_scores_gemma":[0.0006106678,0.00017372977,0.0010241979,0.00029700695,0.0000805337,0.000019367815,0.00012589249,0.0007028045,0.0108363945,0.9858565,0.00005338807,0.00021955092],"about_ca_topic_score_codex":0.0000015498615,"about_ca_topic_score_gemma":2.1764868e-7,"teacher_disagreement_score":0.14705744,"about_ca_system_score_codex":0.00024556747,"about_ca_system_score_gemma":0.000032426702,"threshold_uncertainty_score":0.80485564},"labels":[],"label_agreement":null},{"id":"W2007388239","doi":"10.1016/s0022-247x(03)00213-0","title":"Equivalence among various derivatives and subdifferentials of the distance function","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Subderivative; Mathematics; Differentiable function; Hilbert space; Norm (philosophy); Equivalence (formal languages); Normed vector space; Fréchet derivative; Combinatorics; Closed set; Mathematical analysis; Space (punctuation); Regular polygon; Pure mathematics; Banach space; Geometry; Convex optimization","score_opus":0.026568359323768345,"score_gpt":0.2830105253033009,"score_spread":0.25644216597953257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007388239","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":[0.41834575,0.00009749874,0.5809024,0.00012562862,0.000008236996,0.00013676412,0.0000067853152,0.000003318884,0.00037360843],"genre_scores_gemma":[0.99100375,0.000033621083,0.008776856,0.000009362041,0.000017596485,0.0000192818,5.862966e-7,0.00000531011,0.00013361235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869996,0.0001144415,0.0006746092,0.00012021925,0.00030646258,0.00008429385],"domain_scores_gemma":[0.9978647,0.0009446001,0.0006141723,0.00024754115,0.00026475312,0.00006421303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006543724,0.00009391758,0.00035688095,0.0001003472,0.00013480369,0.000029049068,0.00010779828,0.000042245632,0.00009033121],"category_scores_gemma":[0.000981051,0.000056424615,0.00017740404,0.0006215967,0.00026231498,0.000095768286,0.000030368206,0.0001140486,6.530596e-7],"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":[0.000014480706,0.00036450307,0.013476662,0.00017413413,0.0005449584,1.13176625e-7,0.00027379714,0.0000426043,0.0012735233,0.9832961,0.000028028746,0.0005111037],"study_design_scores_gemma":[0.00021777862,0.000039681927,0.05384888,0.00004887537,0.0016304377,0.000010950943,0.00028844565,0.0013970098,0.0007701793,0.9415376,0.00013091619,0.00007924553],"about_ca_topic_score_codex":0.0000018882932,"about_ca_topic_score_gemma":0.000012776482,"teacher_disagreement_score":0.57265806,"about_ca_system_score_codex":0.000018737728,"about_ca_system_score_gemma":0.000026463207,"threshold_uncertainty_score":0.2300929},"labels":[],"label_agreement":null},{"id":"W2007719026","doi":"10.4153/cmb-2014-012-x","title":"On an Exponential Functional Inequality and its Distributional Version","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Tensor product; Generalization; Bounded function; Pure mathematics; Inequality; Exponential function; Stability (learning theory); Mathematical analysis","score_opus":0.0420250043627224,"score_gpt":0.2677158520235079,"score_spread":0.2256908476607855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007719026","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":[0.9670468,0.000008835983,0.017351976,0.0058125947,0.00018081239,0.00035177878,0.00034219466,0.000094653915,0.008810377],"genre_scores_gemma":[0.99704665,4.4823628e-7,0.0012941534,0.00045543062,0.00017168591,0.000035456076,0.00022116523,0.000021496986,0.000753532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982425,0.00021105289,0.00036756782,0.00037935167,0.00046310105,0.00033641842],"domain_scores_gemma":[0.99713516,0.0016423868,0.000069314236,0.00032226203,0.00017113006,0.0006597171],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009995905,0.0001897957,0.00022711468,0.00011621242,0.0002961898,0.00005808168,0.0001249938,0.00014339255,0.018222772],"category_scores_gemma":[0.0063486495,0.00017918351,0.00006549144,0.000107082196,0.000099668425,0.000065164284,0.00003449656,0.00021255732,0.0047010626],"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":[0.00006802799,0.00016705364,0.000033138036,0.00007748463,0.000013504121,0.0000021519252,0.000054082655,0.000015189734,0.000083009,0.98435515,0.014953493,0.0001777032],"study_design_scores_gemma":[0.00086900435,0.00021903821,0.0019523292,0.000058966532,0.000033319477,0.000025451985,0.000056635177,0.0070057376,0.00014021236,0.972465,0.016858274,0.00031606393],"about_ca_topic_score_codex":0.00015596744,"about_ca_topic_score_gemma":0.0003587387,"teacher_disagreement_score":0.029999856,"about_ca_system_score_codex":0.00025499152,"about_ca_system_score_gemma":0.0001370138,"threshold_uncertainty_score":0.9960739},"labels":[],"label_agreement":null},{"id":"W2011632766","doi":"10.1016/j.jmaa.2007.11.006","title":"A note on iterative roots of PM functions","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Zhàng; Monotone polygon; Iterative method; Class (philosophy); Applied mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Mathematical optimization; Geometry","score_opus":0.03226359092178849,"score_gpt":0.3347460203205706,"score_spread":0.3024824293987821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011632766","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":[0.109540686,0.000026902051,0.88564914,0.000580361,0.000013094678,0.00018457885,0.00002615799,0.000009433839,0.003969618],"genre_scores_gemma":[0.95842147,0.0000073381407,0.04101367,0.000034187102,0.000116845964,0.00001615499,0.0000050962035,0.000009132516,0.00037609198],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981885,0.000043201457,0.0010574317,0.00013980122,0.00044651312,0.00012454495],"domain_scores_gemma":[0.9956079,0.002784404,0.0006343267,0.00027889851,0.00056569977,0.00012875679],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012990283,0.00011809983,0.00047509777,0.00046734407,0.000112847505,0.000022451584,0.00011904384,0.00006574123,0.00019077177],"category_scores_gemma":[0.00086465647,0.00008476845,0.00033620396,0.0010873675,0.000113993636,0.000085751395,0.000024317702,0.00018540566,0.000016597744],"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":[0.00019979934,0.0029857852,0.0010894987,0.00021581932,0.0018550357,0.0000030765327,0.0006913379,0.0004966078,0.0037710574,0.9783143,0.0006030543,0.009774622],"study_design_scores_gemma":[0.00077143294,0.0003819632,0.011857034,0.000103264196,0.0032345625,0.00004491997,0.00071532093,0.0036021238,0.0018748158,0.9751033,0.0020835805,0.00022763785],"about_ca_topic_score_codex":0.0000018399335,"about_ca_topic_score_gemma":0.000019661185,"teacher_disagreement_score":0.8488808,"about_ca_system_score_codex":0.000047748585,"about_ca_system_score_gemma":0.00003783707,"threshold_uncertainty_score":0.3456757},"labels":[],"label_agreement":null},{"id":"W2011648360","doi":"10.4153/cmb-2011-136-7","title":"Functional Equations and Fourier Analysis","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada; University of Cambridge","keywords":"Mathematics; Fourier transform; Fourier analysis; Mathematical analysis; Applied mathematics","score_opus":0.10643327542769786,"score_gpt":0.26015132549725173,"score_spread":0.15371805006955386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011648360","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":[0.12941511,0.00010364837,0.5294714,0.012294584,0.00023140178,0.0011545749,0.00026769945,0.00031113575,0.32675046],"genre_scores_gemma":[0.9398661,0.0000013817116,0.052206464,0.00041808956,0.00006660999,0.000093116105,0.00003667705,0.000029626275,0.0072819064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986068,0.00007109464,0.0003987766,0.0003082691,0.00028516052,0.00032987515],"domain_scores_gemma":[0.9976544,0.0011437355,0.00006986989,0.00041949414,0.00016922988,0.0005432831],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005654637,0.0001646432,0.00027389277,0.00040182457,0.00022429066,0.000040195988,0.000116216615,0.000113664224,0.07209225],"category_scores_gemma":[0.0036066996,0.00015491975,0.00013680385,0.00051935756,0.00017344458,0.000047203743,0.000031477237,0.00015335939,0.004202193],"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":[0.000012041808,0.00009384052,0.0004064854,0.000040828134,0.00029556383,0.000007445972,0.0005605066,0.0000055580267,0.0000035631858,0.98738265,0.010853086,0.0003384521],"study_design_scores_gemma":[0.0003042348,0.00003831829,0.0050412565,0.000015944623,0.0006506514,0.000015894959,0.0002590023,0.004102122,0.000018681087,0.9814431,0.007821015,0.00028976862],"about_ca_topic_score_codex":0.0011145764,"about_ca_topic_score_gemma":0.005450862,"teacher_disagreement_score":0.81045103,"about_ca_system_score_codex":0.0001385053,"about_ca_system_score_gemma":0.00017116335,"threshold_uncertainty_score":0.99657315},"labels":[],"label_agreement":null},{"id":"W2015476227","doi":"10.1007/s00010-006-2863-5","title":"Local Pexider and Cauchy equations","year":2007,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Cauchy distribution; Cauchy problem; Set (abstract data type); Pure mathematics; Initial value problem; Combinatorics; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.06966690212799616,"score_gpt":0.33698126604486445,"score_spread":0.2673143639168683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015476227","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":[0.077119045,0.000049793165,0.90998405,0.0011154129,0.00010949841,0.0004893586,0.000010471666,0.00021007237,0.010912283],"genre_scores_gemma":[0.9307551,0.0000030829724,0.06776085,0.00012175399,0.00007850119,0.000052635856,0.00002276096,0.000037279908,0.001168069],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979162,0.00006373344,0.000764861,0.0003396492,0.00057555136,0.00033998847],"domain_scores_gemma":[0.99259526,0.006255669,0.00020651144,0.00048917107,0.00029877998,0.0001545915],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018467103,0.00021756071,0.00027718238,0.00020110102,0.0002792373,0.000060672977,0.00013894617,0.00011662502,0.0004090941],"category_scores_gemma":[0.0051713875,0.00019940408,0.00007981109,0.00040638229,0.00023350834,0.00030185885,0.00007285432,0.00015551772,0.00036426252],"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":[0.00002836437,0.00021911002,0.00011945158,0.00014048546,0.000040493975,0.000002771644,0.001210734,0.000022899454,0.0002466998,0.99411595,0.00042090678,0.0034321176],"study_design_scores_gemma":[0.0005792231,0.000056249915,0.0020454212,0.000057117377,0.000081542945,0.000035818157,0.0013032313,0.010442684,0.00068880984,0.98385817,0.0005608732,0.00029083854],"about_ca_topic_score_codex":0.0000257656,"about_ca_topic_score_gemma":0.00018849468,"teacher_disagreement_score":0.853636,"about_ca_system_score_codex":0.000115875344,"about_ca_system_score_gemma":0.000067612484,"threshold_uncertainty_score":0.81314623},"labels":[],"label_agreement":null},{"id":"W2029537334","doi":"10.1016/j.jmaa.2006.07.045","title":"Contractive multifunctions, fixed point inclusions and iterated multifunction systems","year":2006,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of Guelph","funders":"University of Waterloo","keywords":"Mathematics; Iterated function; Fixed point; Convergence (economics); Fixed-point theorem; Operator (biology); Inverse; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.018378591016385108,"score_gpt":0.28174902819415576,"score_spread":0.26337043717777064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029537334","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":[0.22005226,0.00022209303,0.77744734,0.0009203779,0.000037828664,0.00050991634,0.000051952466,0.0000358906,0.00072237063],"genre_scores_gemma":[0.98114705,0.000032525553,0.018024163,0.000021612577,0.0001816323,0.00009645334,0.000024337001,0.000014266901,0.00045793108],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998026,0.00011956623,0.0011052208,0.00022177736,0.00037960045,0.00014784811],"domain_scores_gemma":[0.9961698,0.0020574974,0.00066504243,0.00024626893,0.00072731136,0.00013408299],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008825846,0.0001714695,0.0005568055,0.00041385452,0.00035298264,0.00012501948,0.00008436125,0.00010096494,0.00008606159],"category_scores_gemma":[0.0006501025,0.0001272593,0.0002056074,0.00082136615,0.00012851172,0.00023670605,0.000052060797,0.00022118632,0.000009069426],"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":[0.000204072,0.00423358,0.005816124,0.00048920425,0.0032942533,0.000008096129,0.00069929776,0.0039202557,0.009338872,0.9655072,0.0022445135,0.0042445096],"study_design_scores_gemma":[0.0029015704,0.00023256027,0.026263753,0.00018669102,0.008284635,0.00036305678,0.0025607585,0.23197287,0.00038015956,0.7215298,0.0046703084,0.00065386086],"about_ca_topic_score_codex":0.000054524266,"about_ca_topic_score_gemma":0.00003353232,"teacher_disagreement_score":0.7610948,"about_ca_system_score_codex":0.00008118573,"about_ca_system_score_gemma":0.00003797819,"threshold_uncertainty_score":0.5189484},"labels":[],"label_agreement":null},{"id":"W2036022158","doi":"10.4153/cmb-2011-157-x","title":"Transcendental Solutions of a Class of Minimal Functional Equations","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Transcendental number; Transcendental equation; Functional equation; Class (philosophy); Series (stratigraphy); Power series; Pure mathematics; Transcendental function; Discrete mathematics; Mathematical analysis; Differential equation; Epistemology","score_opus":0.14337969110916784,"score_gpt":0.2620508415426884,"score_spread":0.11867115043352053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036022158","genre_codex":"other","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":[0.34813097,0.00014071928,0.28528577,0.0061223437,0.0005082712,0.0021193952,0.0018081833,0.00018929082,0.35569507],"genre_scores_gemma":[0.9817438,6.7753444e-7,0.017144758,0.00004727349,0.000032046428,0.00005048722,0.000025165864,0.000023735936,0.0009320615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981914,0.00008196054,0.00077524333,0.0002178246,0.00038883192,0.00034471977],"domain_scores_gemma":[0.9977445,0.0010977197,0.00016640083,0.00037948124,0.00029995412,0.0003119651],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00054568046,0.0001576005,0.00032783698,0.00025539513,0.000115034796,0.000006268597,0.00019549835,0.00013447068,0.034047917],"category_scores_gemma":[0.0024317203,0.0001575777,0.00021005797,0.0002662267,0.00036946355,0.000043296048,0.000022820004,0.00015419419,0.0009489349],"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":[0.000046197307,0.00046112586,0.00006896493,0.00021085245,0.00007121841,0.0000024773556,0.0010549899,0.0000062086883,0.00048532258,0.99339306,0.0040639522,0.00013563214],"study_design_scores_gemma":[0.0012242808,0.0002797027,0.002244955,0.00019180379,0.0002462085,0.000043379783,0.0016163061,0.0019372476,0.0019072389,0.9871094,0.0027844338,0.0004149937],"about_ca_topic_score_codex":0.0010147857,"about_ca_topic_score_gemma":0.002892247,"teacher_disagreement_score":0.6336128,"about_ca_system_score_codex":0.00015467504,"about_ca_system_score_gemma":0.00049155444,"threshold_uncertainty_score":0.99982893},"labels":[],"label_agreement":null},{"id":"W2037985420","doi":"10.5539/jmr.v5n1p34","title":"Hyers-Ulam Stability for Mackey-Glass and Lasota Differential Equations","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Stability (learning theory); Differential equation; Mathematical analysis","score_opus":0.3214036133109277,"score_gpt":0.44197475807943787,"score_spread":0.12057114476851016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037985420","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":[0.88022155,0.00006863563,0.11470829,0.0022577888,0.00019930712,0.0014742168,0.000045711124,0.000022697972,0.0010017919],"genre_scores_gemma":[0.9115494,0.000023067792,0.08712649,0.000010365108,0.0003178435,0.00012797119,0.0000052821943,0.00004284092,0.0007967633],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99655133,0.00028872406,0.0011039901,0.00021287934,0.0014140101,0.00042904008],"domain_scores_gemma":[0.9820425,0.013848137,0.00040022805,0.0004671125,0.003005752,0.00023627288],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.004378352,0.00016918512,0.00045060998,0.00035885666,0.0003010252,0.0002290807,0.00036991385,0.00012871865,0.0007228823],"category_scores_gemma":[0.01837743,0.00013049551,0.00018853285,0.0002968878,0.00029216902,0.0003657297,0.00016233789,0.0005539114,0.000047206813],"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":[0.0006057602,0.0110768275,0.0018081188,0.008366813,0.0012107679,0.000012015414,0.016686177,0.000082969906,0.05925672,0.8248346,0.06484142,0.011217851],"study_design_scores_gemma":[0.0016586191,0.0005589392,0.0006860123,0.000149909,0.000074839765,0.000042126667,0.0032129586,0.03804851,0.002203006,0.9526233,0.0005522391,0.00018951244],"about_ca_topic_score_codex":0.000017188413,"about_ca_topic_score_gemma":0.000030056219,"teacher_disagreement_score":0.12778877,"about_ca_system_score_codex":0.00022304505,"about_ca_system_score_gemma":0.0002624016,"threshold_uncertainty_score":0.9898912},"labels":[],"label_agreement":null},{"id":"W2042361404","doi":"10.4153/cmb-2005-031-3","title":"Monotonicity Properties of the Hurwitz Zeta Function","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Monotonic function; Conjecture; Function (biology); Combinatorics; Riemann zeta function; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.0419585663275168,"score_gpt":0.2348718876146981,"score_spread":0.1929133212871813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042361404","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":[0.8972645,0.00016063273,0.0033064769,0.039519735,0.00022244091,0.0014477639,0.000057893474,0.00011459439,0.057905994],"genre_scores_gemma":[0.9913244,0.0000010080493,0.0031713506,0.00046374043,0.00009001355,0.000055725028,0.0000016914443,0.000024432777,0.0048676385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852896,0.000099916855,0.00049997616,0.00021167331,0.0003561919,0.0003032902],"domain_scores_gemma":[0.99857086,0.00030343296,0.000121211684,0.00061524165,0.00018355055,0.0002057274],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00052834343,0.00015616984,0.00024115156,0.00007860397,0.00017940454,0.000026563735,0.0002975138,0.00011192034,0.0061273784],"category_scores_gemma":[0.0029714406,0.00010487077,0.0001449845,0.00020057055,0.00021689659,0.000043585263,0.000050173036,0.0002047034,0.0022350948],"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":[0.000093316165,0.00046630553,0.00021807967,0.0006977027,0.00012649532,0.0000013438877,0.0012465769,0.00021545128,0.0028826366,0.9380103,0.053340953,0.002700895],"study_design_scores_gemma":[0.0012234105,0.0001418883,0.0016562168,0.0005747703,0.0002704363,0.000049411756,0.0006518485,0.00741111,0.014284144,0.7055539,0.2674507,0.00073219644],"about_ca_topic_score_codex":0.00061467197,"about_ca_topic_score_gemma":0.0044320403,"teacher_disagreement_score":0.23245639,"about_ca_system_score_codex":0.0002781224,"about_ca_system_score_gemma":0.00031162324,"threshold_uncertainty_score":0.9985418},"labels":[],"label_agreement":null},{"id":"W2044185334","doi":"10.1515/apam-2014-0038","title":"The one-dimensional heat equation in the Alexiewicz norm","year":2015,"lang":"en","type":"preprint","venue":"Advances in Pure and Applied Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of the Fraser Valley","funders":"","keywords":"Heat equation; Bounded function; Infimum and supremum; Sobolev space; Integrable system; Mathematics; Norm (philosophy); Real line; Mathematical analysis; Square-integrable function; Banach space; Continuous function (set theory); Mathematical physics; Combinatorics; Function (biology)","score_opus":0.07325057321537347,"score_gpt":0.3279196687423501,"score_spread":0.25466909552697664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044185334","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":[0.6409091,0.037513055,0.05968043,0.021588003,0.0032167241,0.022668978,0.00047984056,0.0005987661,0.21334514],"genre_scores_gemma":[0.81634086,0.002780419,0.17582236,0.0005495368,0.00063481496,0.0030100818,0.0002859898,0.0001525924,0.0004233048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973573,0.0000923118,0.0009326966,0.00043943356,0.0008521467,0.00032608592],"domain_scores_gemma":[0.9942152,0.004446618,0.00029433705,0.0008577076,0.00013628554,0.00004985643],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027777194,0.0003471055,0.00049005286,0.000106197396,0.00019096036,0.00012319046,0.00051500986,0.00025569907,0.000009673159],"category_scores_gemma":[0.0011117142,0.00021528776,0.00006869522,0.0002824223,0.00022738933,0.00013095669,0.0003954397,0.0008686432,0.000018022161],"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":[0.00008751432,0.000660848,0.000043083564,0.0010942698,0.000034787052,0.0000024781007,0.0052361884,0.010089078,0.00002892051,0.9773658,0.0008688092,0.004488247],"study_design_scores_gemma":[0.00048183094,0.00002630422,0.00003501212,0.00026706167,0.00004506317,0.0000074776885,0.0015156511,0.008963418,0.000037127673,0.9863653,0.002014087,0.000241662],"about_ca_topic_score_codex":0.000009438165,"about_ca_topic_score_gemma":0.0007505984,"teacher_disagreement_score":0.21292183,"about_ca_system_score_codex":0.00017691689,"about_ca_system_score_gemma":0.00016717521,"threshold_uncertainty_score":0.877918},"labels":[],"label_agreement":null},{"id":"W2055928026","doi":"10.4153/cmb-2005-047-3","title":"On the Generalized d’Alembert's and Wilson's Functional Equations on a Compact Group","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Unitary state; Functional equation; Involution (esoterism); Locally compact group; Group (periodic table); Pure mathematics; Locally compact space; Algebra over a field; Mathematical analysis; Differential equation","score_opus":0.05896266233541048,"score_gpt":0.26624014615734454,"score_spread":0.20727748382193406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055928026","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":[0.455476,0.00006766493,0.014613277,0.3543444,0.00023756162,0.002119143,0.00028694057,0.00025546268,0.17259957],"genre_scores_gemma":[0.9850515,0.0000019933923,0.0031595954,0.005542011,0.00024186341,0.00011241113,0.000036888076,0.000045707366,0.005808043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981857,0.00017893157,0.00040669483,0.00034367185,0.00047545764,0.0004095513],"domain_scores_gemma":[0.9919741,0.0068792957,0.000085919506,0.00052145624,0.00009485161,0.00044433598],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00076725223,0.00024977094,0.00026240153,0.00016033705,0.0004624204,0.00010919949,0.00017542607,0.00011579977,0.025697025],"category_scores_gemma":[0.005552013,0.00017697737,0.000110737725,0.00017977717,0.00019637501,0.00003969908,0.0000199993,0.0003216503,0.0076697767],"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":[0.000034515862,0.00013927482,0.0000051092056,0.000021318516,0.000030669886,0.000002188703,0.0001255817,0.00013918299,0.000015754056,0.86688703,0.13231592,0.0002834265],"study_design_scores_gemma":[0.0010044437,0.00017734956,0.00038390374,0.00012500303,0.00006076816,0.000030808464,0.00014159299,0.013314007,0.00003570703,0.8421895,0.14215192,0.00038501716],"about_ca_topic_score_codex":0.00033926597,"about_ca_topic_score_gemma":0.0031034623,"teacher_disagreement_score":0.5295755,"about_ca_system_score_codex":0.00037948074,"about_ca_system_score_gemma":0.00014741914,"threshold_uncertainty_score":0.99310285},"labels":[],"label_agreement":null},{"id":"W2057756204","doi":"10.1007/s10957-013-0345-1","title":"The Shape of the Borwein–Affleck–Girgensohn Function Generated by Completely Monotone and Bernstein Functions","year":2013,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Convexity; Mathematics; Monotone polygon; Theory of computation; Reciprocal; Function (biology); Monotonic function; Pure mathematics; Combinatorics; Applied mathematics; Discrete mathematics; Mathematical analysis; Algorithm; Geometry","score_opus":0.017223021333610238,"score_gpt":0.24990241541562913,"score_spread":0.2326793940820189,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057756204","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":[0.14140357,0.00089966157,0.85264707,0.002904228,0.00015891281,0.0011494241,0.0000778162,0.000025937965,0.0007334025],"genre_scores_gemma":[0.9900505,0.00039336737,0.007262195,0.00018291427,0.0001651104,0.00021537663,0.00003363428,0.00003052637,0.0016663986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99859095,0.0002679311,0.00065457553,0.00013549296,0.00023774279,0.00011328863],"domain_scores_gemma":[0.9968762,0.0013651159,0.0006495524,0.00027980577,0.00075624295,0.00007308566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008658801,0.00012213472,0.00017449797,0.0000618048,0.0006870999,0.00008178096,0.00015961881,0.00007014627,0.00017973996],"category_scores_gemma":[0.00052023464,0.000074820186,0.00007426647,0.00037136566,0.0002896937,0.00023684777,0.00004775202,0.00017963021,0.0000038953744],"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":[0.00054845633,0.0008226128,0.00088935316,0.00011420832,0.0005491005,1.327594e-7,0.0006363908,0.062327128,0.022160543,0.86202365,0.024920989,0.02500746],"study_design_scores_gemma":[0.0030404176,0.0005647881,0.0056639398,0.0001147442,0.00087968545,0.00015146716,0.003406927,0.19243677,0.002915135,0.7463925,0.043850128,0.00058350305],"about_ca_topic_score_codex":0.000006155156,"about_ca_topic_score_gemma":0.0000037990612,"teacher_disagreement_score":0.8486469,"about_ca_system_score_codex":0.000031944703,"about_ca_system_score_gemma":0.00005804062,"threshold_uncertainty_score":0.5284686},"labels":[],"label_agreement":null},{"id":"W2058682521","doi":"10.1016/j.jmaa.2003.11.021","title":"The stability of the quadratic functional equation on amenable groups","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Functional equation; Quadratic equation; Stability (learning theory); Abelian group; Domain (mathematical analysis); Space (punctuation); Pure mathematics; Applied mathematics; Mathematical analysis; Partial differential equation; Computer science; Geometry","score_opus":0.061715015127394315,"score_gpt":0.2882466158999913,"score_spread":0.22653160077259699,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2058682521","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":[0.3448465,0.00010019294,0.6485807,0.0025580823,0.00005314298,0.0005912667,0.00001584997,0.000010403102,0.0032439264],"genre_scores_gemma":[0.9954598,0.00001538314,0.004209036,0.00003175412,0.00004448096,0.0000554401,0.0000013823043,0.000007116563,0.0001756045],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99783415,0.00025002638,0.0009971117,0.0001369808,0.00065941474,0.00012229997],"domain_scores_gemma":[0.9936437,0.004538081,0.0007511993,0.0004933759,0.00050509797,0.00006853555],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023212198,0.00011288207,0.00033140293,0.00009673086,0.00039348248,0.000048167378,0.00018700601,0.00004940644,0.00018073535],"category_scores_gemma":[0.003018525,0.000055956083,0.0003583869,0.0009548596,0.00023276969,0.000080176855,0.00002577696,0.00020083941,0.0000066346997],"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":[0.00002385289,0.0005285796,0.00085840706,0.000054041317,0.00037324175,4.5577845e-8,0.000120840086,0.00034036618,0.0003504681,0.9968419,0.0001435381,0.0003647285],"study_design_scores_gemma":[0.0002506659,0.00006340414,0.0031589959,0.000021725942,0.0009159971,0.000008181253,0.00060452067,0.003485134,0.0012065199,0.989547,0.0006660805,0.00007177998],"about_ca_topic_score_codex":0.0000017265759,"about_ca_topic_score_gemma":0.000016713235,"teacher_disagreement_score":0.6506133,"about_ca_system_score_codex":0.00006884849,"about_ca_system_score_gemma":0.00009155339,"threshold_uncertainty_score":0.36136743},"labels":[],"label_agreement":null},{"id":"W2061059115","doi":"10.1016/j.apal.2006.05.010","title":"Partition relations on a plain product order type","year":2006,"lang":"en","type":"article","venue":"Annals of Pure and Applied Logic","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Toronto; Carnegie Mellon University","keywords":"Mathematics; Partition (number theory); Order type; Type (biology); Product type; Order (exchange); Combinatorics; Discrete mathematics; Computer science","score_opus":0.10853291480095255,"score_gpt":0.3278589232304541,"score_spread":0.21932600842950156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061059115","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":[0.86138415,0.00015044321,0.0012929675,0.0075188144,0.00007373789,0.0006606951,0.00004082041,0.00009833173,0.12878002],"genre_scores_gemma":[0.9966831,0.0000071324066,0.002090867,0.00018341553,0.000085375155,0.000025166191,0.00005255762,0.0000071984614,0.0008651712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993643,0.000021119356,0.00020488154,0.00016436467,0.00014330693,0.000102006874],"domain_scores_gemma":[0.9993538,0.00023906761,0.00008412408,0.00016230535,0.00014096039,0.00001973844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023712045,0.00007775939,0.0001205011,0.000048959584,0.00007517494,0.000009472425,0.000034936482,0.00004834473,0.00009832465],"category_scores_gemma":[0.0003063265,0.00006391111,0.000023183731,0.00022250474,0.000047109355,0.000034344055,0.000012011883,0.00007338334,0.000049815833],"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":[0.000079768375,0.00025469714,0.000112507216,0.00003364944,0.000011732968,2.8386305e-7,0.000058490234,0.0006210301,0.0012451402,0.9765357,0.020564845,0.00048219736],"study_design_scores_gemma":[0.00020313809,0.000115442104,0.0027950637,0.000013435651,0.000015386157,0.0000012428893,0.000047000172,0.000064546,0.003833287,0.9887155,0.0041035963,0.000092327246],"about_ca_topic_score_codex":0.000007640078,"about_ca_topic_score_gemma":0.00003159686,"teacher_disagreement_score":0.13529894,"about_ca_system_score_codex":0.000005367573,"about_ca_system_score_gemma":0.000021334732,"threshold_uncertainty_score":0.26062194},"labels":[],"label_agreement":null},{"id":"W2067658684","doi":"10.1016/s0022-247x(02)00631-5","title":"Scalar derivatives and scalar asymptotic derivatives: properties and some applications","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Scalar (mathematics); Applied mathematics; Mathematical analysis; Pure mathematics; Mathematical physics; Geometry","score_opus":0.044382956754648095,"score_gpt":0.2825684509706409,"score_spread":0.23818549421599283,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067658684","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":[0.31107706,0.0014056793,0.68476474,0.0014066378,0.00000631704,0.00070485525,0.000016898355,0.000027830692,0.0005899585],"genre_scores_gemma":[0.9179104,0.00034126872,0.08118173,0.00007046955,0.000067761546,0.00023848559,0.0000032344299,0.000020578074,0.00016605477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998129,0.00013830503,0.0009002056,0.00029028903,0.00035976883,0.00018240056],"domain_scores_gemma":[0.9976642,0.0009810792,0.00045288677,0.0003114442,0.0003674981,0.00022287048],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00088319986,0.00020776442,0.00061040925,0.0003188195,0.00033833363,0.00012316422,0.00012524758,0.00008603771,0.00005816781],"category_scores_gemma":[0.0009962443,0.00015014359,0.00015433329,0.0007537356,0.00045164904,0.00030702096,0.000056818517,0.00020229115,0.000005858006],"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":[0.00001252884,0.00066614803,0.0019382233,0.0003883817,0.0009760647,5.8896956e-7,0.00064383325,0.0000423717,0.0018874779,0.9913334,0.000039175728,0.0020717524],"study_design_scores_gemma":[0.0005041092,0.00008332369,0.004746625,0.00007453383,0.0016919185,0.000087684566,0.0014117666,0.0023982334,0.00079738477,0.9865771,0.0013752264,0.00025210087],"about_ca_topic_score_codex":0.0000013466761,"about_ca_topic_score_gemma":0.000002954561,"teacher_disagreement_score":0.60683334,"about_ca_system_score_codex":0.00003437984,"about_ca_system_score_gemma":0.00005481784,"threshold_uncertainty_score":0.6122678},"labels":[],"label_agreement":null},{"id":"W2067839691","doi":"10.1007/s00010-005-2792-8","title":"A third logarithmic functional equation and Pexider generalizations","year":2005,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Differentiable function; Combinatorics; Generalization; Functional equation; Logarithm; Function (biology); Real number; Mathematical analysis; Differential equation","score_opus":0.12442640771226827,"score_gpt":0.3113701370174757,"score_spread":0.18694372930520742,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067839691","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":[0.13664216,0.00011449306,0.84457505,0.007128482,0.00018577497,0.00091847253,0.000030853098,0.00041574647,0.009988987],"genre_scores_gemma":[0.8038177,0.000018994577,0.1905266,0.00041024806,0.00044143497,0.00031437437,0.00014644572,0.00005819909,0.0042659994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778,0.00012131161,0.0007685987,0.00041703903,0.00063737534,0.00027564482],"domain_scores_gemma":[0.99707294,0.0016820659,0.00026205953,0.00046688205,0.00039812064,0.00011793429],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00080098904,0.00025452315,0.00028929856,0.00022605523,0.00038492275,0.00011116929,0.00012827489,0.0001302347,0.00092125987],"category_scores_gemma":[0.0028796112,0.0002393412,0.00009446469,0.00039330876,0.00013604414,0.0006134721,0.00007397123,0.00015196193,0.00058662804],"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":[0.000026036643,0.00031786767,0.00021660449,0.00010565005,0.00006042028,4.687843e-7,0.0008833932,0.0010268705,0.0005416386,0.99050266,0.0043468582,0.0019715626],"study_design_scores_gemma":[0.000973383,0.00004957175,0.002527544,0.000054608205,0.00012380561,0.00005694873,0.00025813672,0.14621073,0.0003821227,0.8464203,0.0025594619,0.0003834176],"about_ca_topic_score_codex":0.0000120078,"about_ca_topic_score_gemma":0.000085684755,"teacher_disagreement_score":0.66717553,"about_ca_system_score_codex":0.00015703206,"about_ca_system_score_gemma":0.00010469801,"threshold_uncertainty_score":0.999992},"labels":[],"label_agreement":null},{"id":"W2067845002","doi":"10.1080/00029890.2001.11919746","title":"Leftovers from the Ham Sandwich Theorem","year":2001,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"University of Waterloo; Université de Genève; Mathematical Association of America; University of Ottawa","keywords":"Mathematics; Mathematical economics; Combinatorics; Discrete mathematics","score_opus":0.03476585374194277,"score_gpt":0.2950390429619103,"score_spread":0.26027318921996756,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2067845002","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":[0.5330402,0.00008079694,0.03791955,0.011707259,0.00020690555,0.0009959913,0.00016636601,0.00049889134,0.415384],"genre_scores_gemma":[0.9646765,0.000009357919,0.033011537,0.00093551376,0.0002399639,0.000085054264,0.000021377256,0.00005484697,0.0009658747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978288,0.00020678452,0.0005475673,0.00039176128,0.0006287207,0.00039638733],"domain_scores_gemma":[0.9903687,0.008145006,0.00022168635,0.0009983884,0.00011883637,0.00014734505],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00054782664,0.00026383373,0.00043897983,0.000039130045,0.00022383365,0.00007994029,0.0004845679,0.00005955975,0.0013586376],"category_scores_gemma":[0.0048533995,0.00016734432,0.00019969881,0.00048177753,0.0007507376,0.00012523768,0.00011511323,0.00027645868,0.0007262332],"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":[0.00022585133,0.00072028866,0.0021512914,0.000027349088,0.00022465197,0.000018275947,0.00252089,0.00006731045,0.00018478617,0.9709541,0.017980423,0.0049247346],"study_design_scores_gemma":[0.00035876088,0.000094053146,0.0028483958,0.00003858312,0.00008281251,0.000008787946,0.0017874085,0.0031901975,0.000060343766,0.9857234,0.0055830036,0.00022426635],"about_ca_topic_score_codex":0.00032572774,"about_ca_topic_score_gemma":0.00013197471,"teacher_disagreement_score":0.4316362,"about_ca_system_score_codex":0.000103898645,"about_ca_system_score_gemma":0.000059863105,"threshold_uncertainty_score":0.9995543},"labels":[],"label_agreement":null},{"id":"W2071327848","doi":"10.1073/pnas.082107799","title":"Two functional equations preserving functional forms","year":2002,"lang":"en","type":"article","venue":"Proceedings of the National Academy of Sciences","topic":"Functional Equations Stability Results","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 Waterloo","funders":"","keywords":"Physics; Differentiable function; Combinatorics; Mathematical physics; Mathematics; Mathematical analysis","score_opus":0.20273667087091224,"score_gpt":0.3456589583751201,"score_spread":0.14292228750420788,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071327848","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":[0.7666729,0.00021273328,0.0008110119,0.019518688,0.0002237451,0.001083541,0.00014583713,0.00014471177,0.21118683],"genre_scores_gemma":[0.9917962,0.0000049065293,0.0058919154,0.00017620315,0.00017933358,0.00004535314,7.0029915e-7,0.000008509796,0.0018969055],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9963067,0.000013352437,0.0006541152,0.00034377867,0.0024657145,0.00021630796],"domain_scores_gemma":[0.99699354,0.0014283285,0.00060258585,0.000021696686,0.0009016642,0.000052205396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018817193,0.00014475406,0.00018868032,0.00027138868,0.00053535355,0.000039165938,0.0006415887,0.00008850966,0.0007444618],"category_scores_gemma":[0.006655053,0.000101261634,0.00016988916,0.0013128441,0.000768647,0.0009830066,0.00020556174,0.00024136443,0.000016553548],"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":[0.000021281945,0.00021039275,0.0022477834,0.00007814778,0.000035902445,1.9998672e-9,0.00014445277,0.0013791173,0.021081103,0.9658406,0.008796859,0.00016440074],"study_design_scores_gemma":[0.000515129,0.000045224268,0.021576522,0.000075531425,0.0000308921,0.000011988765,0.00020750836,0.03456101,0.0121007785,0.9303699,0.00036111774,0.0001444],"about_ca_topic_score_codex":0.000005391955,"about_ca_topic_score_gemma":5.075003e-7,"teacher_disagreement_score":0.22512327,"about_ca_system_score_codex":0.00011169849,"about_ca_system_score_gemma":0.000045852263,"threshold_uncertainty_score":0.81513345},"labels":[],"label_agreement":null},{"id":"W2071629905","doi":"10.1007/s00233-013-9526-3","title":"Erratum to: Semigroups of partial isometries","year":2013,"lang":"en","type":"erratum","venue":"Semigroup Forum","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.035070181699695356,"score_gpt":0.29811512545921137,"score_spread":0.26304494375951604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2071629905","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.017221328,0.005746349,0.018772913,0.019136759,0.17808829,0.01133419,0.006109481,0.002069589,0.7415211],"genre_scores_gemma":[0.018049365,0.00014554738,0.0112147685,0.00069021236,0.0031704837,0.0006782144,0.0017545633,0.00038675807,0.9639101],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9950657,0.00014783577,0.001518886,0.000906086,0.0014061268,0.00095538417],"domain_scores_gemma":[0.99524325,0.0011979378,0.000778835,0.0016988075,0.000756434,0.00032474747],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007000669,0.00072943623,0.0013128184,0.00074691686,0.00019604909,0.00009995648,0.0008601091,0.0011140379,0.0011240179],"category_scores_gemma":[0.0062114047,0.0006918544,0.0005353334,0.0013669071,0.00022893728,0.00030043078,0.00051037665,0.0012538827,0.000761695],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000659452,0.00027075768,0.0001193299,0.0006662456,0.00018255362,0.0000023241932,0.00043937887,0.000008782428,0.00016169406,0.02138722,0.9762076,0.00048813867],"study_design_scores_gemma":[0.00050182483,0.00051396963,0.00017312735,0.0006153611,0.00019144418,0.000011930333,0.00077049824,0.00030676308,0.0007595447,0.12025794,0.8750327,0.00086485606],"about_ca_topic_score_codex":0.0003677209,"about_ca_topic_score_gemma":0.00046984435,"teacher_disagreement_score":0.222389,"about_ca_system_score_codex":0.00033975876,"about_ca_system_score_gemma":0.00048515308,"threshold_uncertainty_score":0.9997891},"labels":[],"label_agreement":null},{"id":"W2072461315","doi":"10.1016/s0167-7152(01)00202-4","title":"Correction on “Estimating one of two normal means when their difference is bounded”","year":2002,"lang":"en","type":"article","venue":"Statistics & Probability Letters","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Bounded function; Statistics; Calculus (dental); Applied mathematics; Econometrics; Mathematical analysis; Orthodontics; Medicine","score_opus":0.08483847802608009,"score_gpt":0.2853823807560622,"score_spread":0.20054390272998213,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072461315","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24563053,0.000004747029,0.7494318,0.001767074,0.0006477345,0.0006101178,0.0006198596,0.00010505524,0.0011831023],"genre_scores_gemma":[0.2570902,0.0000014081359,0.7417026,0.00064129324,0.00011843305,0.00006233905,0.000051676932,0.00003495557,0.0002970658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973806,0.00023959322,0.00083195436,0.0005074032,0.0006784816,0.00036197132],"domain_scores_gemma":[0.995226,0.0032285217,0.00037443184,0.0007500396,0.00032631896,0.00009467337],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006084061,0.0002835639,0.00040570146,0.000102883554,0.00022106642,0.000056413286,0.00024396907,0.000073113806,0.00086433854],"category_scores_gemma":[0.004065393,0.00027322466,0.00010008295,0.0002092818,0.000373344,0.00012538026,0.00006858706,0.00037348305,0.000055044362],"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":[0.0005299323,0.005886272,0.011877961,0.0025265727,0.00051502127,0.000008366393,0.030162778,0.0018929043,0.011140733,0.7710529,0.10569893,0.05870764],"study_design_scores_gemma":[0.0006561793,0.00023777377,0.0019438687,0.00013329525,0.00006660762,0.000004740347,0.00002050182,0.106714115,0.0012865129,0.8885715,0.00008235725,0.00028254863],"about_ca_topic_score_codex":0.00018603554,"about_ca_topic_score_gemma":0.00024570824,"teacher_disagreement_score":0.117518604,"about_ca_system_score_codex":0.00034623404,"about_ca_system_score_gemma":0.000044945402,"threshold_uncertainty_score":0.999972},"labels":[],"label_agreement":null},{"id":"W2073390066","doi":"10.1016/j.laa.2005.04.011","title":"Generalized hyperbolic functions, circulant matrices and functional equations","year":2005,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"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","keywords":"Circulant matrix; Mathematics; Pure mathematics; Hyperbolic function; Algebra over a field; Matrix (chemical analysis); Mathematical analysis; Combinatorics","score_opus":0.04687680455761797,"score_gpt":0.28962651365763026,"score_spread":0.24274970910001228,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2073390066","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":[0.7486501,0.0045257895,0.23023468,0.010119805,0.00017042493,0.0021322488,0.00042334653,0.0005918846,0.0031517516],"genre_scores_gemma":[0.9692099,0.00043973554,0.022883555,0.0004672136,0.001100922,0.0010797554,0.00033984333,0.000049623923,0.004429425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99865407,0.000048285918,0.00041975806,0.00041082312,0.0002604756,0.00020658373],"domain_scores_gemma":[0.9984628,0.0007410088,0.00011702448,0.00031203858,0.00021524748,0.00015186623],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024161435,0.00018327653,0.00019659044,0.00015659622,0.00053175824,0.00006310412,0.000079233476,0.00010344817,0.00031677037],"category_scores_gemma":[0.00032658293,0.00017344956,0.000059943974,0.00038368572,0.00008092463,0.00025243856,0.000064023705,0.00015423878,0.00025859414],"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":[0.000028034678,0.0003451019,0.00023428156,0.00007982481,0.00008809834,2.0623712e-7,0.00023415562,0.00025360758,0.0032918614,0.98087436,0.0026499466,0.011920492],"study_design_scores_gemma":[0.003993479,0.00015767691,0.011449884,0.000053353066,0.00068329583,0.00018908491,0.0006146953,0.20043756,0.001138726,0.33182853,0.44807214,0.0013815714],"about_ca_topic_score_codex":0.00001539454,"about_ca_topic_score_gemma":0.000036956488,"teacher_disagreement_score":0.6490458,"about_ca_system_score_codex":0.00004912809,"about_ca_system_score_gemma":0.000069944384,"threshold_uncertainty_score":0.70730674},"labels":[],"label_agreement":null},{"id":"W2078889549","doi":"10.1007/s00010-005-2797-3","title":"Mean value inequalities for convex and star-shaped sets","year":2005,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Combinatorics; Regular polygon; Star (game theory); Dimension (graph theory); Convex set; Convex body; Set (abstract data type); Constant (computer programming); Convex hull; Convex optimization; Mathematical analysis; Geometry","score_opus":0.10039019065856415,"score_gpt":0.34337595444883684,"score_spread":0.2429857637902727,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078889549","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":[0.6416926,0.00020023214,0.3429982,0.0074326713,0.00019560335,0.0026786572,0.0002408426,0.00048612393,0.004075108],"genre_scores_gemma":[0.7535955,0.000008534955,0.24396555,0.00027049554,0.00016800327,0.00040047374,0.000076277654,0.000055114928,0.0014600996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99800056,0.000104364844,0.00078931055,0.00035170378,0.00045666404,0.0002973868],"domain_scores_gemma":[0.9937133,0.0051327697,0.00026152103,0.0004545877,0.0003303115,0.000107506086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012273458,0.00024721315,0.00040466277,0.00012703886,0.0002444128,0.00008590852,0.00015458858,0.000106369895,0.00030504644],"category_scores_gemma":[0.004113669,0.00022534368,0.00010348932,0.0001633712,0.00013001512,0.0003768491,0.00006011794,0.000096990996,0.00013914601],"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":[0.000054993037,0.00021421595,0.000027684946,0.00050600345,0.00006558852,2.0292902e-7,0.00468969,0.000020384849,0.00029884418,0.9919185,0.0008278934,0.0013759751],"study_design_scores_gemma":[0.0011160861,0.00009479942,0.00018373868,0.00007497446,0.00010129346,0.000011575287,0.0012639734,0.08938796,0.0004440882,0.90509164,0.0019333437,0.00029653343],"about_ca_topic_score_codex":0.000010987948,"about_ca_topic_score_gemma":0.00006812116,"teacher_disagreement_score":0.11190289,"about_ca_system_score_codex":0.00009889092,"about_ca_system_score_gemma":0.000079720376,"threshold_uncertainty_score":0.91892487},"labels":[],"label_agreement":null},{"id":"W2085981909","doi":"10.4153/cmb-2011-037-9","title":"Extension of Some Theorems of W. Schwarz","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Transcendental number; Transcendental function; Power series; Algebraic number; Zero (linguistics); Series (stratigraphy); Pure mathematics; Transcendence (philosophy); Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.09101207103830325,"score_gpt":0.265499292676207,"score_spread":0.17448722163790373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085981909","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":[0.8369255,0.00011761227,0.0049314545,0.0016796525,0.00017822385,0.0008960762,0.0001499604,0.00008247492,0.15503906],"genre_scores_gemma":[0.9721995,0.0000023983584,0.026763082,0.000086117434,0.000027591306,0.000015742322,0.000004639717,0.000028465045,0.00087246456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985182,0.00007514595,0.0006397575,0.0002054471,0.00029282694,0.0002685674],"domain_scores_gemma":[0.99789786,0.00078321295,0.00017671229,0.00059870526,0.00026349947,0.00027999465],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007227359,0.00014206166,0.00037065873,0.0001869715,0.00004692153,0.0000046366276,0.00023437357,0.000120362085,0.017669374],"category_scores_gemma":[0.0043639285,0.00012276917,0.00012765046,0.0001637104,0.0003034671,0.000035960533,0.000036009067,0.00012348975,0.0012706982],"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":[0.00002861413,0.00017902648,0.000040390027,0.00028894295,0.000026014412,0.000004730969,0.00064470846,7.943833e-7,0.0004519921,0.99491733,0.003154517,0.00026293925],"study_design_scores_gemma":[0.00025045508,0.00008962985,0.00035533652,0.0001447564,0.00003776557,0.000011766619,0.00023052079,0.0001269147,0.004152867,0.9933205,0.0011485954,0.00013085871],"about_ca_topic_score_codex":0.0009773145,"about_ca_topic_score_gemma":0.0003352457,"teacher_disagreement_score":0.1541666,"about_ca_system_score_codex":0.00007483184,"about_ca_system_score_gemma":0.00021002855,"threshold_uncertainty_score":0.99950695},"labels":[],"label_agreement":null},{"id":"W2087438932","doi":"10.1007/s000100050154","title":"On the equation of generalized bisymmetry with outer functions injective in each argument","year":2000,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Acadia University","funders":"","keywords":"Injective function; Mathematics; Bijection, injection and surjection; Combinatorics; Bijection","score_opus":0.06012665149412953,"score_gpt":0.2876021771071742,"score_spread":0.22747552561304463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087438932","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":[0.91512376,0.000012968857,0.06431611,0.002107638,0.000062194915,0.00134576,0.000030383753,0.000077952354,0.016923262],"genre_scores_gemma":[0.98634267,0.0000035832338,0.010976415,0.00014024407,0.00003620132,0.00043283237,0.00003678013,0.00003395714,0.0019973095],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976949,0.00027038174,0.00076463196,0.0003185366,0.0007241156,0.000227429],"domain_scores_gemma":[0.99482685,0.0039650793,0.00026754758,0.000673152,0.00022385073,0.000043508204],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001075938,0.00022884602,0.00033567846,0.00023547922,0.0001475975,0.000034592857,0.00019269747,0.00008343004,0.0023052013],"category_scores_gemma":[0.0015622621,0.00014608321,0.00009589574,0.0006779722,0.00012874296,0.00019643916,0.000021429398,0.00019139092,0.00035405828],"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":[0.00045447517,0.00144784,0.00029082195,0.00012771218,0.00013425751,0.0000014903632,0.0036076554,0.0041239187,0.00022287265,0.9864049,0.0008365876,0.002347479],"study_design_scores_gemma":[0.0017681022,0.00040600347,0.0024605012,0.00025714195,0.00010742579,0.000011051366,0.0009384549,0.02474513,0.0011861832,0.9676549,0.0001516292,0.00031349578],"about_ca_topic_score_codex":0.00005995893,"about_ca_topic_score_gemma":0.00012803107,"teacher_disagreement_score":0.071218945,"about_ca_system_score_codex":0.00017011384,"about_ca_system_score_gemma":0.00008540487,"threshold_uncertainty_score":0.9986068},"labels":[],"label_agreement":null},{"id":"W2090066569","doi":"10.1007/s00025-007-0266-0","title":"Invariance of Multiattribute Utility Functions under Shift Transformations","year":2008,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Space (punctuation); Pure mathematics; Point (geometry); Function (biology); Applied mathematics; Mathematical analysis; Computer science; Geometry","score_opus":0.12172749686642878,"score_gpt":0.31744115020136493,"score_spread":0.19571365333493615,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090066569","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":[0.41734236,0.000074329546,0.5428199,0.0025614656,0.00038193242,0.0017421395,0.0016112182,0.00030230437,0.033164326],"genre_scores_gemma":[0.9399104,0.000028843848,0.05915993,0.000025055604,0.000034641067,0.00006266608,0.00008279607,0.000027444605,0.00066821673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996891,0.00013013267,0.0017010334,0.00032519223,0.00061641133,0.0003361978],"domain_scores_gemma":[0.9954728,0.0028738095,0.00040163286,0.000884265,0.00027548888,0.000092010945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012628578,0.00024473405,0.0005034506,0.0002545857,0.00020288258,0.000013081589,0.00029239035,0.00018246689,0.000111800975],"category_scores_gemma":[0.0041604536,0.00023216203,0.00017112729,0.00089852576,0.00026351723,0.00032013518,0.000053884236,0.000330446,0.000082081984],"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":[0.0009132764,0.0112616625,0.0025567722,0.0028341222,0.000361689,0.00002431349,0.044873238,0.011089774,0.0008196759,0.91422075,0.01022693,0.0008177826],"study_design_scores_gemma":[0.004873001,0.00014319747,0.019294959,0.00033749043,0.00009260323,0.000063428684,0.0017161836,0.037039053,0.0013012945,0.93340373,0.0011803606,0.00055472367],"about_ca_topic_score_codex":0.000069807815,"about_ca_topic_score_gemma":0.00038257785,"teacher_disagreement_score":0.52256805,"about_ca_system_score_codex":0.00014835992,"about_ca_system_score_gemma":0.00022860889,"threshold_uncertainty_score":0.9467293},"labels":[],"label_agreement":null},{"id":"W2111512361","doi":"10.1142/s179304211000323x","title":"SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP","year":2010,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"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 Ottawa","funders":"","keywords":"Mathematics; Extension (predicate logic); Combinatorics; Group (periodic table); Sequence (biology); Context (archaeology); Fixed point; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.043030381714338366,"score_gpt":0.3363595301644256,"score_spread":0.29332914845008723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111512361","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":[0.26189375,0.00013206762,0.6805924,0.011715683,0.018187884,0.0011609229,0.0023152065,0.00011730833,0.023884764],"genre_scores_gemma":[0.8760728,0.00000995055,0.11968943,0.0004977811,0.0024826045,0.00006310724,0.00005050004,0.000044157263,0.0010896599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987964,0.00006902464,0.00046937086,0.000106109044,0.00043706447,0.00012203645],"domain_scores_gemma":[0.98166215,0.016521823,0.0004272192,0.0001727672,0.0011633119,0.00005273731],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016314029,0.000113698836,0.00014781741,0.00006653378,0.0000979734,0.00007170441,0.00061804923,0.00006418056,0.0024148559],"category_scores_gemma":[0.011181913,0.00007405106,0.0002362126,0.0000568124,0.00015340622,0.00017697991,0.000057045283,0.0003521506,0.000041601485],"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":[0.00058442407,0.00023971694,0.00023672581,0.000007452058,0.0005228832,0.0000070066108,0.00037845774,0.000042887827,0.0008183228,0.9764892,0.01092366,0.009749251],"study_design_scores_gemma":[0.00074209314,0.0000512282,0.001288195,0.000039512986,0.00008935703,0.00034959358,0.00024322489,0.0008500626,0.0006726257,0.9677958,0.02779033,0.00008800318],"about_ca_topic_score_codex":0.0000055057567,"about_ca_topic_score_gemma":0.00003086078,"teacher_disagreement_score":0.6141791,"about_ca_system_score_codex":0.00006457374,"about_ca_system_score_gemma":0.0000951722,"threshold_uncertainty_score":0.99849707},"labels":[],"label_agreement":null},{"id":"W2116146757","doi":"10.1016/j.jnt.2011.01.003","title":"The parametrized family of metric Mahler measures","year":2011,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Conjecture; Piecewise; Measure (data warehouse); Metric (unit); Logarithm; Algebraic number; Combinatorics; Exponential function; Graph; Order (exchange); Rational function; Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science; Finance","score_opus":0.12862957290255936,"score_gpt":0.3420476682858016,"score_spread":0.21341809538324222,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2116146757","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":[0.779576,0.0098559735,0.07833486,0.0013974684,0.0107853925,0.0023268878,0.00078123016,0.00013836598,0.116803825],"genre_scores_gemma":[0.9534516,0.0005778426,0.038694426,0.0000872178,0.0006609573,0.000038391514,0.000010737109,0.00011438467,0.006364488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99546885,0.0011240093,0.001746179,0.00020851212,0.0012179693,0.00023446383],"domain_scores_gemma":[0.98068017,0.013760235,0.0027537567,0.00086854683,0.001830323,0.00010699815],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.008034916,0.00028607724,0.0008194277,0.00035786754,0.00010769512,0.000052870684,0.00093287806,0.00031632851,0.0007242958],"category_scores_gemma":[0.024902362,0.0001764717,0.0007983843,0.00048268327,0.00019926795,0.00009387979,0.0003291417,0.0012459226,0.000047625625],"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":[0.011844261,0.003839883,0.0019534403,0.0017164623,0.009863446,0.00006333113,0.0045458893,0.00064687413,0.001087005,0.74258,0.15767486,0.06418452],"study_design_scores_gemma":[0.00066631933,0.00007359509,0.0011918326,0.00024804342,0.0004010842,0.000057968748,0.00033604083,0.000020262092,0.00032880582,0.9923724,0.0041318256,0.00017184207],"about_ca_topic_score_codex":0.000025167561,"about_ca_topic_score_gemma":0.000007784524,"teacher_disagreement_score":0.24979235,"about_ca_system_score_codex":0.00031404954,"about_ca_system_score_gemma":0.00053678185,"threshold_uncertainty_score":0.9833113},"labels":[],"label_agreement":null},{"id":"W2130029985","doi":"10.1016/s0022-2496(02)00018-4","title":"Functional equations arising in a theory of rank dependence and homogeneous joint receipts","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Psychology","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Commutative property; Associative property; Mathematics; Representation (politics); Pure mathematics; Axiom; Rank (graph theory); Distributivity; Discrete mathematics; Combinatorics; Distributive property; Law","score_opus":0.13323740371873333,"score_gpt":0.3683879671677017,"score_spread":0.2351505634489684,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2130029985","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":[0.41342795,0.00029034255,0.576557,0.000881642,0.00028627436,0.00022739466,0.0000049031955,0.000010184513,0.008314348],"genre_scores_gemma":[0.9339807,0.000024261952,0.065740064,0.00008940575,0.000038373484,0.000006269328,5.147126e-7,0.0000156083,0.00010477112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974285,0.0004972417,0.0013044813,0.00017993011,0.00040218286,0.00018767522],"domain_scores_gemma":[0.9943223,0.0044111954,0.0005667153,0.00026418077,0.00034445888,0.00009114601],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003771872,0.00013514042,0.0004866951,0.00032550297,0.000047746427,0.00001325709,0.00011021324,0.00014290285,0.0007151165],"category_scores_gemma":[0.017399024,0.00011086314,0.00012568526,0.0002679278,0.00021935916,0.00013663595,0.000021748505,0.00036286796,0.00001575225],"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":[0.00038851512,0.0014151263,0.00030214043,0.00019213447,0.00010800515,0.000029734554,0.00088623445,0.00013259526,0.005284502,0.98850095,0.0006192823,0.0021407942],"study_design_scores_gemma":[0.0013080382,0.00022774923,0.0018827486,0.00013247003,0.00005487214,0.0011101253,0.00025611877,0.00025389314,0.00044956242,0.99418616,0.000044717486,0.00009352599],"about_ca_topic_score_codex":6.117467e-7,"about_ca_topic_score_gemma":0.000005203809,"teacher_disagreement_score":0.52055275,"about_ca_system_score_codex":0.000061737555,"about_ca_system_score_gemma":0.000117310374,"threshold_uncertainty_score":0.99087787},"labels":[],"label_agreement":null},{"id":"W2151444805","doi":"10.1090/s0002-9939-06-08683-7","title":"The weak Dirichlet problem for Baire functions","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Grantová Agentura České Republiky","keywords":"Mathematics; Affine transformation; Class (philosophy); Baire measure; Bounded function; Function (biology); Simplex; Combinatorics; Baire space; Extreme point; Set (abstract data type); Discrete mathematics; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.020247205591591624,"score_gpt":0.27490480908892684,"score_spread":0.25465760349733524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2151444805","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":[0.7187266,0.00013369972,0.06706355,0.053635415,0.00034834445,0.007146903,0.00025308592,0.0007614304,0.15193103],"genre_scores_gemma":[0.72787404,0.000019724655,0.24628694,0.00031726566,0.00056253665,0.0015195953,0.000007969526,0.00013962298,0.023272304],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981486,0.000013024138,0.0006388381,0.0002764749,0.00055012025,0.00037289353],"domain_scores_gemma":[0.99598885,0.0024317626,0.00066579,0.00027198798,0.00058878167,0.000052860025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097525044,0.00020471482,0.00036044922,0.00001566285,0.00074601226,0.000079663485,0.0005232315,0.000053684937,0.000015972792],"category_scores_gemma":[0.0018904536,0.00011220161,0.0006214718,0.0006304768,0.0010218641,0.00011409183,0.000166777,0.00019916927,0.0000124167655],"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":[0.000057978144,0.00041760146,0.0007609205,0.00047579568,0.000120529614,7.1873174e-9,0.00034186436,0.00001288006,0.001791495,0.8136108,0.18179028,0.0006198468],"study_design_scores_gemma":[0.00029419197,0.000097183925,0.0008669168,0.00005740992,0.00013347379,0.0000050712542,0.0023185639,0.0030122944,0.0005262277,0.9809336,0.0115937935,0.00016127806],"about_ca_topic_score_codex":0.000022724775,"about_ca_topic_score_gemma":0.000005760009,"teacher_disagreement_score":0.17922339,"about_ca_system_score_codex":0.0001324953,"about_ca_system_score_gemma":0.00005855745,"threshold_uncertainty_score":0.5737799},"labels":[],"label_agreement":null},{"id":"W2164527572","doi":"10.1090/s0002-9939-03-07191-0","title":"Control of radii of convergence and extension of subanalytic functions","year":2003,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Extension (predicate logic); Convergence (economics); Mathematics; Computer science; Economics; Programming language","score_opus":0.0210118509149278,"score_gpt":0.25919063396757985,"score_spread":0.23817878305265205,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164527572","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":[0.98964226,0.00018509544,0.00741849,0.00053129456,0.00006513445,0.0007533404,0.00011966489,0.000014498318,0.001270229],"genre_scores_gemma":[0.9827567,0.00007824205,0.016858697,0.00003674457,0.000014383615,0.000015448164,6.06406e-7,0.000029090186,0.0002101275],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968893,0.0000559166,0.0015731984,0.0003534505,0.0008454992,0.0002826527],"domain_scores_gemma":[0.99312145,0.002160649,0.0027016096,0.0003995365,0.0015062699,0.00011051539],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0015725797,0.000281454,0.0013572206,0.000059555674,0.000102975944,0.000009730998,0.000336843,0.00011101597,0.00013862297],"category_scores_gemma":[0.0077222404,0.00020917623,0.00072114595,0.001047963,0.003250768,0.00012219156,0.00012878723,0.00025224144,0.0000034397683],"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":[0.0004662167,0.003595082,0.025273398,0.017628614,0.0018267302,1.0143424e-7,0.007311693,0.00008532455,0.23146431,0.7100293,0.0019948604,0.00032440262],"study_design_scores_gemma":[0.0047520213,0.0022364566,0.019563386,0.0029688166,0.005474762,0.000061054736,0.0349881,0.070945054,0.11903327,0.73889965,0.00013526889,0.0009421651],"about_ca_topic_score_codex":0.00004862105,"about_ca_topic_score_gemma":6.9900085e-7,"teacher_disagreement_score":0.112431034,"about_ca_system_score_codex":0.000073891984,"about_ca_system_score_gemma":0.00015613607,"threshold_uncertainty_score":0.9994618},"labels":[],"label_agreement":null},{"id":"W2326917163","doi":"10.1093/qmath/has038","title":"EXCEPTIONAL DISCRIMINANTS ARE THE SUM OF A SQUARE AND A PRIME","year":2012,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Functional Equations Stability Results","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 Toronto","funders":"","keywords":"Prime (order theory); Square (algebra); Mathematics; Statistics; Mathematical economics; Calculus (dental); Combinatorics; Geometry; Medicine","score_opus":0.06791594478837021,"score_gpt":0.3131975020349411,"score_spread":0.2452815572465709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326917163","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":[0.9864472,0.00052340614,0.01063303,0.0016488349,0.00020322857,0.00028417725,0.000024185947,0.000009463364,0.0002264512],"genre_scores_gemma":[0.99091595,0.000014186556,0.008701149,0.000023099587,0.00023384117,0.000006733837,6.6209805e-7,0.000019379118,0.00008496626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979903,0.00018442716,0.0008752823,0.0000677559,0.0006681393,0.0002141022],"domain_scores_gemma":[0.9955554,0.0024152468,0.0011903119,0.00039749357,0.0003602704,0.00008128494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024042868,0.00015432805,0.00035357536,0.00007345057,0.00015317251,0.000032383166,0.00032444854,0.00005623314,0.00005974847],"category_scores_gemma":[0.00088032085,0.00007498492,0.00016211369,0.00014198772,0.0002584362,0.00025320196,0.000033335462,0.00024968942,0.000011450773],"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":[0.00067721104,0.009384198,0.019369375,0.0038134796,0.0018887485,0.000011664792,0.3691567,0.000039691655,0.0045087803,0.5601283,0.011124654,0.019897223],"study_design_scores_gemma":[0.0015947155,0.0010637825,0.020212332,0.00087328977,0.00077715656,0.0014465131,0.09528547,0.00092274055,0.00068946846,0.8763886,0.0004185568,0.00032736204],"about_ca_topic_score_codex":0.000003597901,"about_ca_topic_score_gemma":0.000008163844,"teacher_disagreement_score":0.31626034,"about_ca_system_score_codex":0.00004067354,"about_ca_system_score_gemma":0.000057642963,"threshold_uncertainty_score":0.30577964},"labels":[],"label_agreement":null},{"id":"W2362443608","doi":"","title":"The Identification and Application to Convex Function","year":2002,"lang":"en","type":"article","venue":"Journal of Linyi Teachers' College","topic":"Functional Equations Stability Results","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":"Discovery Air (Canada)","funders":"","keywords":"Identification (biology); Mathematics; Computer science; Biology","score_opus":0.03665979103476846,"score_gpt":0.2904546518971044,"score_spread":0.25379486086233594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2362443608","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":[0.7671448,0.000981258,0.19870345,0.02707192,0.0013623345,0.001544443,0.000038169364,0.00008506274,0.0030685714],"genre_scores_gemma":[0.9930939,0.00004076429,0.0027540424,0.000099527875,0.0002942948,0.000027080903,0.0000011221019,0.00001450872,0.0036747733],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99847245,0.00012796895,0.00073393295,0.00013426447,0.00040785642,0.00012350993],"domain_scores_gemma":[0.9977772,0.0009229578,0.0004920023,0.00026693498,0.00043983673,0.00010103091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017313177,0.00009664318,0.00016088835,0.0001130458,0.00029350407,0.00006396059,0.0001577326,0.00007258085,0.0000461323],"category_scores_gemma":[0.0021264905,0.00007105097,0.0000727163,0.00030398267,0.00005952333,0.00020465735,0.000025857524,0.00022611597,0.00005622605],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0019259241,0.0022169233,0.0042920345,0.00021307312,0.0008138562,0.000010533039,0.017892478,0.0008883972,0.03804966,0.29804257,0.48160088,0.15405366],"study_design_scores_gemma":[0.005915528,0.0019479033,0.037502825,0.00018356935,0.0008076869,0.00044438802,0.015254482,0.047403514,0.0028122347,0.23837939,0.6483987,0.00094979705],"about_ca_topic_score_codex":0.0000036508293,"about_ca_topic_score_gemma":0.00003135191,"teacher_disagreement_score":0.2259491,"about_ca_system_score_codex":0.00014950043,"about_ca_system_score_gemma":0.000031910266,"threshold_uncertainty_score":0.28973746},"labels":[],"label_agreement":null},{"id":"W2402036779","doi":"","title":"On a new Stirling's series.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Stirling engine; Mathematics; Series (stratigraphy); Stirling numbers of the first kind; Stirling number; Pure mathematics; Geology; Engineering; Mechanical engineering","score_opus":0.046667073046404724,"score_gpt":0.29636949260590034,"score_spread":0.24970241955949563,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2402036779","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":[0.9685684,0.000060005266,0.0001801758,0.0009722405,0.0035810005,0.00029627618,0.000007517046,0.00022810156,0.026106276],"genre_scores_gemma":[0.9930135,0.0000018091863,0.0026355071,0.00009971788,0.000048481117,0.000015520798,0.000007681842,0.000025315132,0.0041524475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990004,0.000049174938,0.00021601991,0.00014975856,0.00031261338,0.00027205556],"domain_scores_gemma":[0.9985622,0.00071224495,0.00006976858,0.00040891662,0.00007291336,0.00017392468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033277075,0.00012716098,0.00014746019,0.000052628624,0.00009338502,0.000021336942,0.00012351297,0.0000744382,0.000339835],"category_scores_gemma":[0.0021449002,0.0001204566,0.000059872964,0.00019794298,0.000030813942,0.00024146885,0.00004267677,0.00015234985,0.0005959592],"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":[0.00005059315,0.0002742446,0.00058169896,0.000014062387,0.000017232007,4.8451193e-7,0.00035996365,0.0000037778761,0.000058590507,0.9678846,0.030508114,0.00024666588],"study_design_scores_gemma":[0.0006469224,0.00011043822,0.001105558,0.000016658518,0.000016311982,0.0000047008098,0.000042427804,0.00002069511,0.0005151653,0.9907929,0.006597404,0.00013082725],"about_ca_topic_score_codex":0.000021939151,"about_ca_topic_score_gemma":0.000004612606,"teacher_disagreement_score":0.024445111,"about_ca_system_score_codex":0.00012315725,"about_ca_system_score_gemma":0.00007894325,"threshold_uncertainty_score":0.76600486},"labels":[],"label_agreement":null},{"id":"W2462329984","doi":"10.1016/j.jmaa.2013.01.019","title":"On concentrators and related approximation constants","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Constant (computer programming); Integer (computer science); Function (biology); Mathematical analysis; Unit cube; Cube (algebra); Set (abstract data type); Combinatorics; Probabilistic logic; Applied mathematics; Statistics","score_opus":0.019176589543742257,"score_gpt":0.2788782423346324,"score_spread":0.25970165279089014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2462329984","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":[0.7635249,0.00008296699,0.22992827,0.0016701332,0.000014203383,0.0005643257,0.000013026408,0.000023586474,0.0041785943],"genre_scores_gemma":[0.9861081,0.000025890145,0.013619885,0.000038387538,0.000021381986,0.000043855052,0.0000031998243,0.0000070767787,0.00013222512],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869764,0.000054939712,0.00072689116,0.00013389811,0.00028576158,0.000100850215],"domain_scores_gemma":[0.9975729,0.0014063432,0.00041075467,0.00017512304,0.00029826196,0.00013663781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047067078,0.000103477374,0.00035163693,0.00019840116,0.00010841688,0.00006752506,0.00007241678,0.00006168722,0.00047848743],"category_scores_gemma":[0.000643575,0.00007296635,0.00011950851,0.00053670333,0.00014219138,0.0001425848,0.00001886967,0.00014233659,0.000030813662],"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":[0.0000085822585,0.00033690257,0.00047503583,0.000064728316,0.0005273539,4.5008727e-7,0.00018589584,0.00002910536,0.0003065732,0.9948218,0.0002871343,0.0029564376],"study_design_scores_gemma":[0.00031885743,0.000054020424,0.0015934383,0.00002767308,0.000674705,0.000032698175,0.00027333884,0.010259197,0.00008992734,0.98652965,0.000063619766,0.00008288571],"about_ca_topic_score_codex":0.0000016777954,"about_ca_topic_score_gemma":8.8264784e-7,"teacher_disagreement_score":0.2225832,"about_ca_system_score_codex":0.000028499477,"about_ca_system_score_gemma":0.000022397535,"threshold_uncertainty_score":0.52391016},"labels":[],"label_agreement":null},{"id":"W2466189138","doi":"10.4153/cmb-2016-041-4","title":"Cubic Functional Equations on Restricted Domains of Lebesgue Measure Zero","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lebesgue measure; Measure (data warehouse); Banach space; Zero (linguistics); Lp space; Pure mathematics; Lebesgue integration; Space (punctuation); Mathematical analysis; Stability (learning theory); Discrete mathematics","score_opus":0.06159974948945452,"score_gpt":0.2623386665083082,"score_spread":0.2007389170188537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2466189138","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":[0.22187003,0.00006967084,0.5121359,0.07658408,0.00071963534,0.0027300483,0.0014084029,0.00045846787,0.18402375],"genre_scores_gemma":[0.988125,0.0000017667869,0.004961531,0.00025869565,0.000101482765,0.00010378742,0.000023462584,0.000048487924,0.0063757543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975788,0.00016272119,0.0007183126,0.0003731306,0.00071588473,0.00045118082],"domain_scores_gemma":[0.9926915,0.0054979376,0.00017244654,0.00070568634,0.0004250369,0.0005073982],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00058277015,0.00024171763,0.00036223177,0.00035640862,0.0001898856,0.000023302307,0.00024695898,0.00019668625,0.017820613],"category_scores_gemma":[0.017802648,0.00017599553,0.00017385601,0.00038953288,0.00024806085,0.000048787515,0.000028865588,0.00018384476,0.007234098],"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":[0.000060220813,0.00022735323,0.000030987023,0.000079126214,0.000059290436,0.0000068551763,0.00008121172,0.000016453521,0.0010518053,0.94354,0.05402459,0.0008221009],"study_design_scores_gemma":[0.0013716448,0.00019116598,0.0006935941,0.00042115376,0.00008019742,0.000019243358,0.000066714485,0.0001626218,0.00081027404,0.97581,0.02000283,0.0003705516],"about_ca_topic_score_codex":0.00029748812,"about_ca_topic_score_gemma":0.0012802957,"teacher_disagreement_score":0.766255,"about_ca_system_score_codex":0.00053643645,"about_ca_system_score_gemma":0.0006185833,"threshold_uncertainty_score":0.99353886},"labels":[],"label_agreement":null},{"id":"W2478105308","doi":"10.1090/fim/020/26","title":"Local 𝐿-functions and functional equations","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; University of Toronto","funders":"","keywords":"Computer science; Applied mathematics; Mathematics","score_opus":0.04669256926664583,"score_gpt":0.27633938124891416,"score_spread":0.22964681198226833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2478105308","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000061429586,0.000040274503,0.3026224,0.0009032633,0.000084372936,0.0006449392,0.00013240978,0.00034454133,0.69516635],"genre_scores_gemma":[0.010421246,0.000019256522,0.03862452,0.00084682216,0.00039731318,0.00013790316,0.00015368454,0.00019105655,0.9492082],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967138,0.000047137124,0.0009801207,0.00080495223,0.0009942289,0.00045972745],"domain_scores_gemma":[0.99452114,0.0034889043,0.000533658,0.0007865364,0.0003385221,0.00033121955],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00050012895,0.0006663066,0.00095321226,0.00010259369,0.00049756945,0.000092437505,0.00018370472,0.0003903294,0.001182328],"category_scores_gemma":[0.00061557454,0.0006305367,0.0007422071,0.00007385888,0.0022122052,0.00007926662,0.00015637394,0.00089151354,0.00051535195],"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":[0.00002353804,0.00010255943,5.997914e-7,0.0001350812,0.00030567218,0.0000020264,0.00031731426,0.000010268458,0.000015341002,0.95924217,0.01229759,0.027547836],"study_design_scores_gemma":[0.00036758135,0.0002273617,0.000011440089,0.00015416167,0.0004437553,0.000040020517,0.00047141043,0.0024658663,0.0000060995185,0.9644598,0.030734817,0.000617716],"about_ca_topic_score_codex":0.000011780342,"about_ca_topic_score_gemma":0.000019300573,"teacher_disagreement_score":0.26399788,"about_ca_system_score_codex":0.00039416266,"about_ca_system_score_gemma":0.00028655576,"threshold_uncertainty_score":0.9997307},"labels":[],"label_agreement":null},{"id":"W2480217193","doi":"10.1017/cbo9781139017480.027","title":"Properties of exponentials and logarithmic functions","year":2012,"lang":"en","type":"other","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Logarithm; Exponential function; Content (measure theory); Computer science; Mathematics; Arithmetic; Information retrieval; Theoretical computer science; Mathematical analysis","score_opus":0.10268580089061095,"score_gpt":0.281821177856537,"score_spread":0.17913537696592602,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2480217193","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0009286593,0.0018968052,0.003557832,0.00012958402,0.00040994448,0.0006401822,0.00010913543,0.0002329891,0.9920949],"genre_scores_gemma":[0.011544723,0.000024900697,0.0037289115,0.000008101432,0.00016578156,0.000046360514,0.000014988614,0.00015232801,0.9843139],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9992847,0.000039870552,0.00024253035,0.0001505819,0.0001734058,0.000108917564],"domain_scores_gemma":[0.9993676,0.00009738258,0.00015151022,0.00029071677,0.0000543728,0.00003844292],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001524887,0.000135852,0.00025418156,0.00015731704,0.000024890089,0.000007643302,0.000055419936,0.00016262343,0.00696495],"category_scores_gemma":[0.0002572677,0.00010224342,0.00004948653,0.00006342146,0.00012375186,0.000036166544,0.00005035467,0.000073921714,0.00012263512],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035373934,0.00046269645,0.00012452483,0.0017204838,0.00031854206,2.0461464e-7,0.00022641783,3.0144076e-7,0.0032846627,0.0867939,0.9059845,0.0010483663],"study_design_scores_gemma":[0.0015563759,0.00016682727,0.00015528577,0.0011638459,0.00081165007,0.000033099303,0.0007786327,0.00007316814,0.007902029,0.026132932,0.9601661,0.0010600747],"about_ca_topic_score_codex":0.00019014408,"about_ca_topic_score_gemma":0.00018735022,"teacher_disagreement_score":0.060660966,"about_ca_system_score_codex":0.00001674041,"about_ca_system_score_gemma":0.00003666099,"threshold_uncertainty_score":0.9939428},"labels":[],"label_agreement":null},{"id":"W2483917811","doi":"10.1090/surv/187/18","title":"Trudinger-Moser-Onofri inequality on 𝕊²","year":2013,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Inequality; Mathematics; Mathematical analysis","score_opus":0.1124351906251344,"score_gpt":0.3074897788017391,"score_spread":0.1950545881766047,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2483917811","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013819186,0.00020981515,0.015396747,0.00060969766,0.00033745475,0.0020154454,0.00061045086,0.0004266654,0.96657455],"genre_scores_gemma":[0.15357149,0.0005516731,0.038111467,0.0005807657,0.00083805906,0.0007104443,0.00075479085,0.0008010654,0.80408025],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964773,0.0003653749,0.0011679004,0.0007865299,0.00076082256,0.00044203972],"domain_scores_gemma":[0.9934205,0.004565575,0.0004158426,0.0010141344,0.00026277275,0.0003211771],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0037074778,0.00071112596,0.0011159821,0.0002840912,0.00021742228,0.00015142735,0.00027076487,0.0006244187,0.0035759292],"category_scores_gemma":[0.0015747964,0.0005745629,0.00042425116,0.000104047416,0.00034721632,0.00011851754,0.00017369798,0.00066061603,0.00091679953],"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":[0.000021669537,0.0002548568,0.000047356734,0.00063211005,0.0001945542,0.000003979199,0.00016423967,5.753067e-7,0.0000045150837,0.98251724,0.005805328,0.010353574],"study_design_scores_gemma":[0.0004244325,0.00023534594,0.00042590027,0.00037479852,0.00012221014,0.000008581778,0.00002348767,0.00020904953,0.000013963966,0.9871137,0.010432988,0.0006155326],"about_ca_topic_score_codex":0.000022016899,"about_ca_topic_score_gemma":0.00004297755,"teacher_disagreement_score":0.16249429,"about_ca_system_score_codex":0.00008430928,"about_ca_system_score_gemma":0.000048354494,"threshold_uncertainty_score":0.9998611},"labels":[],"label_agreement":null},{"id":"W2487004917","doi":"10.4153/cmb-2016-054-6","title":"On Ulam Stability of a Functional Equation in Banach Modules","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Homomorphism; Functional equation; Banach space; Pure mathematics; Stability (learning theory); Scalar (mathematics); Discrete mathematics; Mathematical analysis; Partial differential equation","score_opus":0.07571362496300628,"score_gpt":0.26158488768307847,"score_spread":0.1858712627200722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2487004917","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":[0.9237559,0.000011937745,0.042096496,0.011297288,0.00011170534,0.00075132836,0.00017380192,0.00005619823,0.02174535],"genre_scores_gemma":[0.9960695,8.681907e-7,0.0030654136,0.00011069141,0.00003454001,0.000077982084,0.000010306972,0.00002382543,0.0006068693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979777,0.00016250825,0.000691703,0.00034676716,0.00046949604,0.00035185233],"domain_scores_gemma":[0.99467194,0.0042177904,0.00011829418,0.00052830554,0.0001996457,0.00026402055],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011354103,0.0001787928,0.00032211267,0.00028318135,0.000058077763,0.000012447417,0.00015950916,0.00013941668,0.023806686],"category_scores_gemma":[0.012789877,0.0001322424,0.00010422064,0.0002439739,0.0001823562,0.000048056878,0.000022605565,0.00013193421,0.0022626994],"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":[0.000091682276,0.00032918266,0.00043331436,0.00016582983,0.00001789528,0.0000036350584,0.00015879839,0.000034433055,0.00058764836,0.99263686,0.0044035725,0.0011371672],"study_design_scores_gemma":[0.0008170333,0.00009788883,0.0031653817,0.00022271837,0.000013059482,0.0000039794063,0.00008441002,0.00083750475,0.0007997035,0.99294525,0.0008206791,0.00019236293],"about_ca_topic_score_codex":0.0005108397,"about_ca_topic_score_gemma":0.0043667145,"teacher_disagreement_score":0.07231361,"about_ca_system_score_codex":0.00068994256,"about_ca_system_score_gemma":0.00028526166,"threshold_uncertainty_score":0.9985142},"labels":[],"label_agreement":null},{"id":"W2505715236","doi":"10.1090/fim/020/05","title":"Fourier expansions and multiplicity one theorems","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; University of Toronto","funders":"","keywords":"Multiplicity (mathematics); Fourier transform; Mathematics; Fourier series; Pure mathematics; Mathematical analysis","score_opus":0.048232827547274794,"score_gpt":0.286245312300507,"score_spread":0.2380124847532322,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2505715236","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0017412906,0.000053476604,0.020840934,0.0010062646,0.00004987416,0.001372177,0.00014239359,0.0004436554,0.9743499],"genre_scores_gemma":[0.012335739,0.00007391316,0.34655434,0.0015116166,0.00046934438,0.00014007861,0.000049725015,0.00031309453,0.6385521],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968548,0.000055721837,0.0009121495,0.0007715103,0.0009219075,0.0004839474],"domain_scores_gemma":[0.9947171,0.0030937279,0.0005670396,0.0010508944,0.0002312016,0.00033999846],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00063752267,0.000660008,0.0012296041,0.000059732643,0.0003296371,0.00007573386,0.00029546145,0.00039995986,0.0004792748],"category_scores_gemma":[0.00080630253,0.00059131614,0.000700322,0.000044830947,0.0019351474,0.000051831685,0.0002260147,0.0008658157,0.00015366216],"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":[0.000026043746,0.0001534836,0.000001158186,0.00021327152,0.0002950571,0.000002437632,0.0013960206,4.7569816e-7,0.00006940312,0.9632577,0.0020898518,0.03249513],"study_design_scores_gemma":[0.00038630914,0.00019458152,0.000011837447,0.0003003523,0.00033051564,0.000018668345,0.00026790425,0.00068274303,0.000037297894,0.98903674,0.008119422,0.0006136015],"about_ca_topic_score_codex":0.000014789152,"about_ca_topic_score_gemma":0.000010660678,"teacher_disagreement_score":0.3357978,"about_ca_system_score_codex":0.00020929912,"about_ca_system_score_gemma":0.00013215424,"threshold_uncertainty_score":0.9996538},"labels":[],"label_agreement":null},{"id":"W2505796767","doi":"10.1090/fim/020/24","title":"Local coefficients and non-constant terms","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University; University of Toronto","funders":"","keywords":"Constant (computer programming); Mathematics; Computer science; Programming language","score_opus":0.024066826085656395,"score_gpt":0.2706207746150236,"score_spread":0.2465539485293672,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2505796767","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0004560064,0.00002351936,0.093416326,0.00030138023,0.00005593147,0.0009736617,0.00010972883,0.00022691053,0.9044365],"genre_scores_gemma":[0.0899711,0.000054395714,0.11733525,0.0020738083,0.0003326067,0.00012530874,0.00008150947,0.00042244015,0.7896036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99683744,0.000030203515,0.0009512542,0.0007656705,0.0009068159,0.00050862087],"domain_scores_gemma":[0.99658155,0.0015212712,0.0005429074,0.0008171274,0.00021641269,0.00032069767],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.00048001416,0.0006740164,0.0011980096,0.00006322182,0.00023802466,0.000083882005,0.00030245687,0.00035389882,0.0002636436],"category_scores_gemma":[0.00030579654,0.00058507617,0.0005282257,0.000056884903,0.00281758,0.00004007897,0.00020526994,0.0007159384,0.000205069],"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":[0.000041835585,0.00017980621,0.0000020874293,0.00046376785,0.0003243473,0.000012561312,0.0013055216,0.0000023731982,0.000039298473,0.92611194,0.0058216252,0.06569485],"study_design_scores_gemma":[0.0005120118,0.00031867114,0.000007289618,0.0004262812,0.00028509335,0.000048281563,0.00034822075,0.0020824426,0.000029814675,0.9831245,0.012110959,0.00070644193],"about_ca_topic_score_codex":0.000008074331,"about_ca_topic_score_gemma":0.000005333552,"teacher_disagreement_score":0.11483296,"about_ca_system_score_codex":0.00030383383,"about_ca_system_score_gemma":0.00017731586,"threshold_uncertainty_score":0.99989617},"labels":[],"label_agreement":null},{"id":"W2514502459","doi":"10.4153/cmb-2016-061-9","title":"Isometry on Linear <i>n</i>-G-quasi Normed Spaces","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Isometry (Riemannian geometry); Normed vector space; Dimension (graph theory); Pure mathematics; Space (punctuation); Discrete mathematics; Combinatorics","score_opus":0.04029065491674626,"score_gpt":0.27866629841999974,"score_spread":0.23837564350325346,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2514502459","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":[0.39494374,0.00006517392,0.03094274,0.23545744,0.00070031657,0.002062393,0.0004562656,0.0006648341,0.3347071],"genre_scores_gemma":[0.9484215,0.0000065032696,0.01737936,0.0020210198,0.00035617175,0.00012116442,0.000010719401,0.000100847494,0.031582724],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978758,0.00010410956,0.0004997195,0.00041812815,0.00049253396,0.00060970837],"domain_scores_gemma":[0.9944528,0.0038295647,0.000099253855,0.0007217654,0.00016186007,0.00073478575],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00065701973,0.00026742075,0.0003569505,0.0002958173,0.00017427802,0.00004739922,0.00031334613,0.00018365812,0.028378345],"category_scores_gemma":[0.011548553,0.00018022448,0.00014520065,0.00028581428,0.00019939015,0.000045478075,0.0000361796,0.00018776128,0.04832698],"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":[0.00006394244,0.0004014739,0.00014383304,0.0001697748,0.00006215073,0.000037504633,0.00021167922,0.0000019757226,0.00024296474,0.8549395,0.14038351,0.0033416483],"study_design_scores_gemma":[0.0010949391,0.00029395169,0.00014535483,0.0003955824,0.000043484983,0.000034522134,0.0001455314,0.00012787865,0.0009220224,0.6518235,0.34442008,0.00055312377],"about_ca_topic_score_codex":0.00022504713,"about_ca_topic_score_gemma":0.0012844104,"teacher_disagreement_score":0.55347776,"about_ca_system_score_codex":0.0004557378,"about_ca_system_score_gemma":0.00028617212,"threshold_uncertainty_score":0.9967776},"labels":[],"label_agreement":null},{"id":"W2528194913","doi":"10.1017/s0025557200174984","title":"Trigonometric identities and functional equations","year":2004,"lang":"en","type":"article","venue":"The Mathematical Gazette","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Trigonometry; Trigonometric functions; Mathematics; Set (abstract data type); Algebra over a field; Calculus (dental); Pure mathematics; Mathematical analysis; Computer science; Geometry; Programming language","score_opus":0.09597065443226528,"score_gpt":0.30073662430268244,"score_spread":0.20476596987041717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2528194913","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":[0.24510536,0.00013680194,0.7168478,0.010877632,0.000222211,0.0007765385,0.000030555806,0.00026470292,0.025738446],"genre_scores_gemma":[0.98327243,0.0000067087767,0.012908852,0.0002508231,0.00016304417,0.00011709171,0.000008683431,0.000027719032,0.0032446703],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998608,0.0000631545,0.0004260767,0.00021508755,0.00046550715,0.00022215118],"domain_scores_gemma":[0.99598885,0.0033189259,0.00009666807,0.00040788215,0.00010753166,0.00008017601],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083021633,0.00015530706,0.00020955784,0.00015680335,0.00031752963,0.00009711806,0.00014504965,0.00006017343,0.0006137194],"category_scores_gemma":[0.0047609005,0.00010334653,0.0000928357,0.0005165097,0.00028920698,0.000171867,0.00009545488,0.00018807877,0.00038687847],"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":[0.000015776237,0.00015007854,0.00000861888,0.00006787611,0.000038926806,8.5537243e-7,0.00043156647,0.00016375749,0.0000733132,0.9981825,0.00064137235,0.00022537168],"study_design_scores_gemma":[0.000592124,0.00003628751,0.00057417934,0.000026190168,0.00006944862,0.000038893457,0.00020880344,0.0009215406,0.00011511526,0.9971272,0.00016716286,0.00012306795],"about_ca_topic_score_codex":0.0000051218376,"about_ca_topic_score_gemma":0.000006016467,"teacher_disagreement_score":0.73816705,"about_ca_system_score_codex":0.00009945321,"about_ca_system_score_gemma":0.0000606767,"threshold_uncertainty_score":0.67197967},"labels":[],"label_agreement":null},{"id":"W2606006772","doi":"10.4153/cmb-2017-023-1","title":"A Characterization of C<sup>*</sup>-normed Algebras via Positive Functionals","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Characterization (materials science); Normed algebra; Pure mathematics; Functional analysis; Algebra over a field; Discrete mathematics; Jordan algebra; Algebra representation; Chemistry; Nanotechnology","score_opus":0.030415559026595654,"score_gpt":0.2642360065408621,"score_spread":0.23382044751426645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606006772","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":[0.9146003,0.000010828845,0.025468951,0.016047752,0.0001659937,0.0012627454,0.00062197575,0.00009141147,0.04173],"genre_scores_gemma":[0.9894129,0.0000020649534,0.0052920114,0.00035868434,0.00016206989,0.00009409744,0.00014331956,0.00005158751,0.0044832495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99797714,0.00010086544,0.0006810253,0.00035784193,0.00046420144,0.0004189052],"domain_scores_gemma":[0.9969143,0.0008450638,0.00037728323,0.00095946784,0.00045096272,0.00045291052],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006642327,0.0002447026,0.00044518555,0.00019743263,0.0005107887,0.000112563896,0.0004272881,0.0001933272,0.015273229],"category_scores_gemma":[0.006323813,0.00023746741,0.00016321568,0.00010546476,0.0003310812,0.00013545835,0.000070205795,0.00019876064,0.0036031748],"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":[0.00021461114,0.00077095826,0.00080465456,0.0009346612,0.00039466462,0.000046335357,0.0023114532,0.000031453077,0.007661576,0.9717319,0.011391873,0.003705831],"study_design_scores_gemma":[0.0016760905,0.00023428687,0.016806222,0.00053213496,0.00023071893,0.00010058047,0.00028501192,0.0062844697,0.004284932,0.95343053,0.015253498,0.0008815135],"about_ca_topic_score_codex":0.0008414197,"about_ca_topic_score_gemma":0.00049768586,"teacher_disagreement_score":0.074812576,"about_ca_system_score_codex":0.00026539486,"about_ca_system_score_gemma":0.00035135812,"threshold_uncertainty_score":0.99717265},"labels":[],"label_agreement":null},{"id":"W2724268121","doi":"10.5486/pmd.2004.3062","title":"On a composite functional equation arising in utility theory","year":2004,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund","keywords":"Mathematics; Composite number; Functional equation; Calculus (dental); Algebra over a field; Applied mathematics; Mathematical economics; Pure mathematics; Mathematical analysis; Algorithm; Differential equation; Medicine; Orthodontics","score_opus":0.10306350879595622,"score_gpt":0.3119197638966551,"score_spread":0.20885625510069888,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2724268121","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":[0.40168375,0.000036036763,0.55564785,0.009489451,0.00024182459,0.0014660947,0.000041163876,0.00049126986,0.03090256],"genre_scores_gemma":[0.9726276,0.0000023694267,0.026172673,0.0003057488,0.0000668456,0.00034375416,0.00014965412,0.000041672247,0.0002897027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972896,0.00022853815,0.0008816602,0.0005270244,0.00072635605,0.00034680121],"domain_scores_gemma":[0.9951331,0.0032617464,0.00029652473,0.00081135746,0.00038088133,0.00011640468],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002131064,0.0002650149,0.00033665652,0.00041694765,0.00022046168,0.00012837557,0.0002789896,0.00014443634,0.0006405266],"category_scores_gemma":[0.007239128,0.00024647423,0.00011750378,0.0009063171,0.00012326268,0.00051502197,0.00006809783,0.00028588492,0.0005265834],"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":[0.00014031383,0.0013185963,0.00033555235,0.00010397492,0.000031574295,6.00571e-7,0.00078816287,0.00048203263,0.00020088578,0.9945148,0.00034148697,0.0017419818],"study_design_scores_gemma":[0.0011428181,0.00003767575,0.015294998,0.00010505167,0.000024455907,0.000014418936,0.0001587532,0.0041944105,0.00041818307,0.9782428,0.00013567014,0.00023072645],"about_ca_topic_score_codex":0.000020012081,"about_ca_topic_score_gemma":0.00004267134,"teacher_disagreement_score":0.57094383,"about_ca_system_score_codex":0.0004717049,"about_ca_system_score_gemma":0.00019297101,"threshold_uncertainty_score":0.99999875},"labels":[],"label_agreement":null},{"id":"W2735866737","doi":"10.24193/fpt-ro.2017.2.56","title":"A proof of the Markov-Kakutani Theorem on noncompact set via Zermelo’s well-ordering theorem","year":2017,"lang":"en","type":"article","venue":"Fixed Point Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Compact space; Fixed-point theorem; Brouwer fixed-point theorem; Compactness theorem; Markov chain; Pure mathematics; Set (abstract data type); Discrete mathematics; Fundamental theorem; Picard–Lindelöf theorem; Computer science; Statistics","score_opus":0.034819521357643976,"score_gpt":0.296374576971147,"score_spread":0.261555055613503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2735866737","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":[0.7249783,0.00004222029,0.013974982,0.002656011,0.0013473606,0.0021179973,0.00025693743,0.00020764805,0.2544185],"genre_scores_gemma":[0.99600756,0.0000018606703,0.0013255565,0.00013816537,0.00015825803,0.000047231326,0.000009427439,0.00006695473,0.0022449587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99733174,0.0006291962,0.00061538286,0.000427995,0.0006040189,0.00039165778],"domain_scores_gemma":[0.9936487,0.0027059838,0.00070654927,0.002647605,0.00019922436,0.000091930764],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0029064137,0.00034246448,0.00044765684,0.000094509276,0.00069031,0.00008889816,0.0011429276,0.00015484102,0.0010953369],"category_scores_gemma":[0.0053387894,0.00022417658,0.0003510839,0.0001328828,0.0006247891,0.0002085977,0.0003758067,0.0004362317,0.00011322465],"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":[0.0010567643,0.00039850402,0.0005891872,0.00020198802,0.00016354228,0.0000039493234,0.001958692,0.0001386607,0.002105832,0.98761445,0.0014545827,0.0043138303],"study_design_scores_gemma":[0.00092776,0.0001700393,0.0049974057,0.000284114,0.00007265455,0.000021411532,0.00040495725,0.0010171854,0.025296137,0.9659479,0.00057597476,0.00028440653],"about_ca_topic_score_codex":0.000024705838,"about_ca_topic_score_gemma":0.000043506323,"teacher_disagreement_score":0.27102923,"about_ca_system_score_codex":0.00016252977,"about_ca_system_score_gemma":0.00013573267,"threshold_uncertainty_score":0.9998178},"labels":[],"label_agreement":null},{"id":"W2749824546","doi":"10.21065/2520596x.2.1","title":"ANACH LIMITS CORRESPONDING TO RESIDUES OF THE ZETA-FUNCTION","year":2017,"lang":"en","type":"article","venue":"Advanced Calculation and Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Riemann zeta function; Mathematics; Pure mathematics","score_opus":0.052542122999635295,"score_gpt":0.3506514223424605,"score_spread":0.2981092993428252,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2749824546","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":[0.9362636,0.000019793128,0.061535046,0.000764317,0.00009245222,0.00016383636,0.000015858945,0.000020607436,0.0011244749],"genre_scores_gemma":[0.994574,0.0000035962635,0.0038125373,0.000045989542,0.000019908988,0.000009692222,0.000010108016,0.000006144197,0.0015180095],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.999137,0.000057255093,0.0002652868,0.00019917263,0.00025316438,0.00008812618],"domain_scores_gemma":[0.99861854,0.00027684603,0.00026658952,0.00060130673,0.00019199551,0.000044691882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002809338,0.00008150143,0.00019507791,0.00016592834,0.00044755402,0.00004445278,0.00012629984,0.0000385553,0.000036355494],"category_scores_gemma":[0.0025467467,0.000060141287,0.00014445245,0.00046357053,0.00005781068,0.00019948857,0.000051461415,0.000053913816,0.0000033236188],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011402034,0.00030908166,0.50999653,0.00016972842,0.002271028,0.0000013379891,0.0017188591,0.09218371,0.07098093,0.24862394,0.00073520397,0.07186943],"study_design_scores_gemma":[0.0003569642,0.00003227379,0.9526037,0.000026330374,0.0008283404,4.5730908e-7,0.00011199687,0.017130665,0.002489744,0.025747437,0.00055450056,0.00011762011],"about_ca_topic_score_codex":0.00003571312,"about_ca_topic_score_gemma":0.00026828455,"teacher_disagreement_score":0.44260713,"about_ca_system_score_codex":0.000033445573,"about_ca_system_score_gemma":0.000014778481,"threshold_uncertainty_score":0.3442269},"labels":[],"label_agreement":null},{"id":"W2773477893","doi":"","title":"Complexity of Homotopy for the Eigenvalue Problem I","year":2014,"lang":"en","type":"article","venue":"Foundations of Computational Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Homotopy analysis method; Eigenvalues and eigenvectors; Homotopy; Numerical analysis; Homotopy perturbation method; Applied mathematics; Algebra over a field; Calculus (dental); Mathematical analysis; Pure mathematics","score_opus":0.1354589906913145,"score_gpt":0.35569037307619966,"score_spread":0.22023138238488515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2773477893","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021593774,0.000011062912,0.9732411,0.0011679013,0.00010461836,0.0011295944,0.00015905056,0.00004477111,0.0025481347],"genre_scores_gemma":[0.44004783,7.556198e-7,0.559594,0.000016422864,0.00004400529,0.000099312456,0.00007269448,0.000016669506,0.00010829988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981444,0.0000720033,0.0009420282,0.00016728969,0.00053145393,0.00014283424],"domain_scores_gemma":[0.9865274,0.011142492,0.00062565366,0.000443157,0.0012260904,0.000035218367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011770161,0.00014473735,0.0003267732,0.00011510203,0.00025370574,0.000025262621,0.00033686103,0.00005317188,0.00009718155],"category_scores_gemma":[0.0032604737,0.00011279537,0.0001883557,0.00031219938,0.0005033232,0.000109081324,0.00005834588,0.000079352445,0.000012823661],"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":[0.000017588118,0.00044089163,0.000036458026,0.0005283607,0.00008985219,8.904866e-9,0.0006082727,0.023386879,0.000055316566,0.97354466,0.0006311509,0.00066056044],"study_design_scores_gemma":[0.00041357693,0.000088702895,0.00047555644,0.000045214205,0.00007599563,0.0000029244325,0.00013536916,0.23113163,0.00018337597,0.766814,0.00055293355,0.00008074757],"about_ca_topic_score_codex":0.000011452265,"about_ca_topic_score_gemma":0.000019031593,"teacher_disagreement_score":0.41845408,"about_ca_system_score_codex":0.00004391995,"about_ca_system_score_gemma":0.00015768028,"threshold_uncertainty_score":0.45996618},"labels":[],"label_agreement":null},{"id":"W2888140268","doi":"10.4153/cmb-2018-038-5","title":"Nonexistence of Idempotent Means on Free Binary Systems","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Idempotence; Extension (predicate logic); Binary number; Conjecture; Pure mathematics; Idempotent matrix; Binary operation; Algebra over a field; Combinatorics; Arithmetic; Computer science","score_opus":0.05869933408659772,"score_gpt":0.28056484512917695,"score_spread":0.22186551104257923,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2888140268","genre_codex":"other","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":[0.3745174,0.00012774473,0.013086991,0.023860013,0.001101055,0.0026815257,0.0007739235,0.0003026715,0.58354867],"genre_scores_gemma":[0.9854944,0.0000013181013,0.010001079,0.00029374546,0.0001987252,0.00006392464,0.000008368429,0.000043552147,0.003894938],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979634,0.0001182451,0.00066597876,0.00032401158,0.000519924,0.00040840943],"domain_scores_gemma":[0.9966059,0.0014118693,0.00015283472,0.0010556242,0.00032537724,0.00044841928],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00082035025,0.00020412474,0.0003862438,0.00020691377,0.00014929925,0.00003102761,0.00046401485,0.00014309773,0.0054738615],"category_scores_gemma":[0.0067916387,0.00017952871,0.00011329768,0.00024176938,0.00038377012,0.000022663831,0.00005684497,0.00017267201,0.0072806724],"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":[0.000040232513,0.0001913545,0.000023135955,0.00040357187,0.000042116142,0.000015689451,0.00040730217,0.00003020234,0.00012940638,0.9210762,0.077563226,0.00007760141],"study_design_scores_gemma":[0.0011691647,0.0011690944,0.00036469812,0.0011675438,0.00011652278,0.00007726463,0.0008868624,0.008581615,0.00066713156,0.91458285,0.07050661,0.0007106568],"about_ca_topic_score_codex":0.0017686179,"about_ca_topic_score_gemma":0.0016858251,"teacher_disagreement_score":0.61097693,"about_ca_system_score_codex":0.00029714705,"about_ca_system_score_gemma":0.00026492868,"threshold_uncertainty_score":0.9954353},"labels":[],"label_agreement":null},{"id":"W2943583494","doi":"10.28924/2291-8639-17-2019-369","title":"On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Naresuan University","keywords":"Mathematics; Functional equation; Cauchy distribution; Stability (learning theory); Quadratic equation; Pure mathematics; Mathematical analysis; Applied mathematics; Partial differential equation; Computer science","score_opus":0.02917808956802832,"score_gpt":0.28126181168095926,"score_spread":0.25208372211293095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943583494","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":[0.867184,0.0001306488,0.12155563,0.00880691,0.00016990826,0.00079379504,0.00009040077,0.000007652026,0.0012610649],"genre_scores_gemma":[0.9988068,0.00005185316,0.00074025773,0.000077737895,0.00007417105,0.000055154585,0.00002146432,0.000005388266,0.00016722093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99830097,0.00017304946,0.0006742469,0.00014812745,0.0006185235,0.00008505834],"domain_scores_gemma":[0.9961384,0.0022953283,0.00072517403,0.00021120805,0.0006000535,0.000029831303],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001044274,0.0000995898,0.00026150298,0.00036359119,0.00011272026,0.000054828237,0.00020645034,0.000046759807,0.00008341918],"category_scores_gemma":[0.0007228454,0.000059449063,0.00019459444,0.00063899654,0.00021389278,0.00016521045,0.00005370143,0.00017737102,0.000003908442],"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":[0.0003549914,0.00033487586,0.00864223,0.000021440872,0.0010077932,2.297413e-7,0.0006814973,0.008646291,0.00048081263,0.97720444,0.00017565259,0.0024497455],"study_design_scores_gemma":[0.004675744,0.000103940525,0.1853272,0.00013461757,0.0011804606,0.0000372029,0.0015897566,0.094618335,0.0004062846,0.7110138,0.0006959057,0.00021672879],"about_ca_topic_score_codex":0.000053201362,"about_ca_topic_score_gemma":0.00018846356,"teacher_disagreement_score":0.26619062,"about_ca_system_score_codex":0.0000845403,"about_ca_system_score_gemma":0.000085177584,"threshold_uncertainty_score":0.24242625},"labels":[],"label_agreement":null},{"id":"W2950206957","doi":"10.48550/arxiv.1611.09525","title":"On the real roots of $\\sigma$-Polynomials","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Functional Equations Stability Results","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Sigma; Zero (linguistics); Chromatic polynomial; Chromatic scale; Polynomial; Closure (psychology); Interval (graph theory); Degree (music); Discrete mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.16782426632976208,"score_gpt":0.2318532503814111,"score_spread":0.06402898405164903,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950206957","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":[0.9342978,0.000006552826,0.014938576,0.00045842098,0.00042275398,0.0006184678,0.00024481956,0.000102182195,0.048910428],"genre_scores_gemma":[0.99481434,0.00003578998,0.0001229622,0.00002695111,0.00009514049,0.0000023158932,0.000011580653,0.000026751053,0.004864162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984049,0.00027962914,0.0003379407,0.00059699966,0.00015927039,0.00022124859],"domain_scores_gemma":[0.9940519,0.0037000105,0.00047401444,0.001444585,0.00025475153,0.000074784715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006193781,0.00026266638,0.00038104164,0.0001616308,0.00012138178,0.000016767672,0.00070683693,0.0002830379,0.0004065854],"category_scores_gemma":[0.0014163941,0.00019147943,0.0002913765,0.00022263969,0.00024610845,0.00006745654,0.00055397645,0.00037095245,0.00011588458],"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":[0.00024243735,0.00017317238,0.0004475656,0.00010536469,0.00014285343,0.000009671099,0.00009959893,0.004768733,0.00017270232,0.9909856,0.0028033385,0.00004896811],"study_design_scores_gemma":[0.00047172277,0.000068526875,0.0011506662,0.00020910622,0.0001221626,5.567925e-7,0.00007065096,0.002697725,0.00053237006,0.99428993,0.00015331496,0.00023323786],"about_ca_topic_score_codex":0.00013151781,"about_ca_topic_score_gemma":0.000094298724,"teacher_disagreement_score":0.060516547,"about_ca_system_score_codex":0.00030170754,"about_ca_system_score_gemma":0.0002467909,"threshold_uncertainty_score":0.78083044},"labels":[],"label_agreement":null},{"id":"W295159774","doi":"","title":"Stability of the equation of homomorphism and completeness of the underlying space","year":2008,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Homomorphism; Completeness (order theory); Mathematics; Stability (learning theory); Space (punctuation); Pure mathematics; Algebra over a field; Computer science; Mathematical analysis","score_opus":0.6567741056139634,"score_gpt":0.5550755896287772,"score_spread":0.1016985159851862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W295159774","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":[0.99451065,0.0009770135,0.0020880739,0.00035054926,0.00023229574,0.0007756016,0.000116431,0.000008299003,0.00094106153],"genre_scores_gemma":[0.9988504,0.0002887825,0.0007361198,0.000020040305,0.000018474064,0.00001404464,0.0000025211234,0.000021077083,0.00004855807],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9967221,0.00060276495,0.0012353933,0.00025170585,0.001017938,0.0001701124],"domain_scores_gemma":[0.99365246,0.0025639122,0.0019305128,0.0008705273,0.0009193196,0.00006329228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020322304,0.00019096192,0.00069175276,0.00018216493,0.000290497,0.00005695249,0.0014457671,0.00008429166,0.0007695396],"category_scores_gemma":[0.003592038,0.00012582821,0.00022078745,0.0009512192,0.00080681156,0.0006540723,0.00076604536,0.00025813162,4.798917e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029629108,0.0008197278,0.7485523,0.0008778681,0.00022268525,8.187317e-7,0.0019718355,0.000670488,0.23579787,0.008864504,0.0011208308,0.0008047406],"study_design_scores_gemma":[0.0005788268,0.000013073559,0.81673634,0.00037361044,0.00009699451,0.000011112053,0.00029233698,0.00057724275,0.07989087,0.10122906,0.00006182748,0.00013870689],"about_ca_topic_score_codex":0.000956654,"about_ca_topic_score_gemma":0.0001701211,"teacher_disagreement_score":0.155907,"about_ca_system_score_codex":0.00009782921,"about_ca_system_score_gemma":0.00029421502,"threshold_uncertainty_score":0.84259194},"labels":[],"label_agreement":null},{"id":"W2963257725","doi":"10.1017/s0308210517000397","title":"Ulam stability for some classes of <i>C</i>*-algebras","year":2018,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":14,"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":"Homomorphism; Algebra homomorphism; Mathematics; Algebra over a field; Stability (learning theory); Pure mathematics; Discrete mathematics; Combinatorics; Computer science","score_opus":0.047553758091901974,"score_gpt":0.29045992776536306,"score_spread":0.24290616967346107,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963257725","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":[0.9880087,0.000024325233,0.007195833,0.00046456017,0.00057289045,0.0012191496,0.000076424505,0.000076943856,0.002361211],"genre_scores_gemma":[0.91722596,0.0000069271086,0.081279166,0.000033224864,0.0004914888,0.00007382346,0.000002056047,0.000035522466,0.00085185724],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975125,0.000008890254,0.0011739179,0.0002982298,0.0007460403,0.00026039052],"domain_scores_gemma":[0.99470544,0.0011670516,0.001414463,0.00031706205,0.0023373028,0.00005866522],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017018606,0.0002363072,0.00058887503,0.000050734376,0.00020737742,0.000018723935,0.00044395577,0.00018789963,0.00018630046],"category_scores_gemma":[0.003985159,0.00018130423,0.0007246005,0.00045788873,0.00077840657,0.00021532142,0.00017720832,0.00018201687,4.6410898e-7],"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":[0.00094144756,0.008690418,0.010567219,0.027888067,0.0019242867,2.4352564e-8,0.046743076,0.000105858555,0.33747157,0.2654536,0.29959753,0.00061688153],"study_design_scores_gemma":[0.0009133745,0.00048294434,0.00026973087,0.000360582,0.00026374322,0.0000024749475,0.004858129,0.018047836,0.4023739,0.57174146,0.0004624557,0.00022337187],"about_ca_topic_score_codex":0.000018164135,"about_ca_topic_score_gemma":0.0000033755166,"teacher_disagreement_score":0.30628783,"about_ca_system_score_codex":0.00013293752,"about_ca_system_score_gemma":0.00011545682,"threshold_uncertainty_score":0.7393372},"labels":[],"label_agreement":null},{"id":"W2964069399","doi":"10.1016/j.jfa.2009.06.025","title":"Classification of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msup><mml:mi mathvariant=\"normal\">C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-homomorphisms from <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:msub><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">]</mml:mo></mml:math> to a <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si3.gif\" overflow=\"scroll\"><mml:msup><mml:mi mathvariant=\"normal\">C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebra","year":2009,"lang":"lv","type":"article","venue":"Journal of Functional Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Functor; Semigroup; Counterexample; Homomorphism; Simple (philosophy); Algebra over a field; Discrete mathematics; Pure mathematics","score_opus":0.022306296551177964,"score_gpt":0.2447259598536516,"score_spread":0.22241966330247362,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964069399","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":[0.93246806,0.004518816,0.0068054525,0.0036150927,0.008846912,0.0006178218,0.0071812216,0.0016791306,0.034267507],"genre_scores_gemma":[0.9487625,0.0049494114,0.013139544,0.004643284,0.009361594,0.004505886,0.009881265,0.00385972,0.0008968105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9491474,0.002963437,0.013440145,0.009032797,0.015362781,0.010053419],"domain_scores_gemma":[0.95648235,0.009322599,0.015922505,0.009343731,0.0027060914,0.0062227338],"candidate_categories":["metaresearch","metaepi_narrow","metaepi_broad","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.011597836,0.0062256646,0.0036243333,0.004750392,0.008864951,0.007633536,0.0102413865,0.0115007935,0.03834835],"category_scores_gemma":[0.010495721,0.010046009,0.013219201,0.008721828,0.0064027435,0.009032887,0.0073942565,0.010433882,0.0121120345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.012399433,0.0040911213,0.00008244189,0.0037627055,0.016607268,0.004649955,0.004912842,0.020793816,0.009307246,0.8210332,0.09844375,0.0039162473],"study_design_scores_gemma":[0.012077584,0.009216236,0.0004636277,0.0053774565,0.020185769,0.011039753,0.008739663,0.5851855,0.31356788,0.0107956035,0.014080318,0.009270572],"about_ca_topic_score_codex":0.0071518463,"about_ca_topic_score_gemma":0.0041583134,"teacher_disagreement_score":0.8102376,"about_ca_system_score_codex":0.00047654996,"about_ca_system_score_gemma":0.009495244,"threshold_uncertainty_score":0.9994596},"labels":[],"label_agreement":null},{"id":"W2980450373","doi":"10.1007/s00010-019-00688-z","title":"A functional equation on groups with involutions","year":2019,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Sigma; Functional equation; Group (periodic table); Combinatorics; Element (criminal law); Alpha (finance); Pure mathematics; Mathematical analysis; Differential equation; Physics; Statistics; Quantum mechanics","score_opus":0.0887651287614029,"score_gpt":0.2785258762898842,"score_spread":0.18976074752848127,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980450373","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":[0.6364097,0.000013088718,0.32327306,0.0022063323,0.0003515261,0.0017552357,0.000032051696,0.00047177603,0.03548725],"genre_scores_gemma":[0.97055465,0.0000013518257,0.02450197,0.00019434046,0.00012479794,0.00030745423,0.00013312417,0.000057665875,0.0041246684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974599,0.000116885225,0.0005944122,0.00047692744,0.0010455754,0.00030630568],"domain_scores_gemma":[0.9954899,0.002933626,0.00029283244,0.0007925358,0.00039259068,0.00009852976],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006931469,0.00028282093,0.0003241145,0.00025550142,0.0002330139,0.00007010974,0.00017479678,0.00011066433,0.002235219],"category_scores_gemma":[0.0014733957,0.00022574556,0.00011360826,0.0006131743,0.0000904529,0.00041353612,0.00004038098,0.00021289698,0.005719345],"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":[0.00018275976,0.0005619679,0.00053492823,0.00014458034,0.00007362263,7.5887084e-7,0.00040949736,0.0013676871,0.00032008186,0.99466085,0.0015290376,0.00021420795],"study_design_scores_gemma":[0.0018478519,0.00052215264,0.0068793744,0.00022099435,0.00009949203,0.000030577317,0.00055572315,0.024629993,0.00039205924,0.963892,0.00044848814,0.00048131502],"about_ca_topic_score_codex":0.0000083402765,"about_ca_topic_score_gemma":0.000029555005,"teacher_disagreement_score":0.33414495,"about_ca_system_score_codex":0.0002364059,"about_ca_system_score_gemma":0.00014401824,"threshold_uncertainty_score":0.9986769},"labels":[],"label_agreement":null},{"id":"W3023775322","doi":"10.5486/pmd.2009.4440","title":"D'Alembert's functional equation on topological monoids","year":2009,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Topology (electrical circuits); Combinatorics","score_opus":0.18240999250388734,"score_gpt":0.34049639130720494,"score_spread":0.1580863988033176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3023775322","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":[0.23388436,0.000093043294,0.3522336,0.12327625,0.0007506551,0.0032061394,0.0000870135,0.0024108088,0.28405815],"genre_scores_gemma":[0.96111983,0.0000069402536,0.0331048,0.0011816067,0.00032947364,0.00032845343,0.00018163436,0.00003761238,0.00370966],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972098,0.00015359811,0.00081683235,0.0005698045,0.0008533752,0.000396604],"domain_scores_gemma":[0.9960927,0.001978886,0.00030168556,0.00091204257,0.00053035095,0.00018435635],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009544986,0.0003092012,0.0003593882,0.0002732111,0.0003101075,0.0001560202,0.00035712632,0.00019831098,0.0019317884],"category_scores_gemma":[0.0061916234,0.00025990847,0.0001694455,0.0006799143,0.00009532266,0.00046971318,0.000043205673,0.0002579181,0.0011724036],"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":[0.00007676933,0.0011181666,0.000095965814,0.000031264,0.000030038194,4.941232e-7,0.00020442829,0.000054490843,0.00028805758,0.9755601,0.016139572,0.00640064],"study_design_scores_gemma":[0.0005894139,0.00020580152,0.011229448,0.000029365025,0.00003922105,0.000024340685,0.000093966264,0.007863389,0.00047327127,0.9746602,0.004473688,0.00031790358],"about_ca_topic_score_codex":0.0000029389985,"about_ca_topic_score_gemma":0.0000037004625,"teacher_disagreement_score":0.72723544,"about_ca_system_score_codex":0.00023063565,"about_ca_system_score_gemma":0.00009951526,"threshold_uncertainty_score":0.99998534},"labels":[],"label_agreement":null},{"id":"W3101779883","doi":"","title":"Defining a surreal hyperexponential","year":2020,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Functional Equations Stability Results","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":"Simon Fraser University","funders":"","keywords":"Computer science","score_opus":0.04382433765259881,"score_gpt":0.2726792889425785,"score_spread":0.22885495128997968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3101779883","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":[0.24242236,0.0010035635,0.48910367,0.046137173,0.0011894252,0.0017177605,0.00081377476,0.0016054541,0.21600682],"genre_scores_gemma":[0.81325996,0.000075551616,0.18178034,0.00009818107,0.00007005163,0.00014452185,0.0011872476,0.000098036886,0.0032861324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99239,0.0045925886,0.00085136225,0.0010183438,0.00076474564,0.0003829749],"domain_scores_gemma":[0.9888606,0.0058781784,0.00062450167,0.0021632586,0.0022209757,0.0002524706],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004827642,0.0004205436,0.00054665445,0.0001717615,0.00036655064,0.00035885698,0.0011060622,0.00037445736,0.00036026104],"category_scores_gemma":[0.015667308,0.0004720758,0.000364397,0.00039164306,0.00022886504,0.00012437088,0.0017979466,0.0010430816,0.00022551348],"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":[0.000058257665,0.00088314357,0.0008617682,0.00057667104,0.00019727269,0.000008437463,0.00945169,0.00006955034,0.0011987695,0.96983165,0.00626603,0.01059677],"study_design_scores_gemma":[0.002573268,0.0000017419645,0.0039589964,0.0038599917,0.00040843314,0.000044022483,0.0004749089,0.061329674,0.024942027,0.87988156,0.020596571,0.0019288231],"about_ca_topic_score_codex":0.00085670705,"about_ca_topic_score_gemma":0.0011587433,"teacher_disagreement_score":0.57083756,"about_ca_system_score_codex":0.00020946491,"about_ca_system_score_gemma":0.0006190659,"threshold_uncertainty_score":0.9997731},"labels":[],"label_agreement":null},{"id":"W3112448723","doi":"10.23952/jnva.4.2020.2.08","title":"The P-class and Q-class functions on symmetric cones","year":2020,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Class (philosophy); Mathematics; Combinatorics; Pure mathematics; Computer science; Artificial intelligence","score_opus":0.048591684279736584,"score_gpt":0.2935263511678249,"score_spread":0.2449346668880883,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112448723","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":[0.6909106,0.0012395818,0.121039584,0.18024787,0.000633053,0.000459158,0.000503261,0.000063293126,0.004903633],"genre_scores_gemma":[0.99091756,0.00014480371,0.0073860036,0.000525414,0.000621618,0.0000029796918,0.00001907383,0.000010583604,0.00037193118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986619,0.00010440418,0.0005334648,0.00013589101,0.00047110868,0.00009324327],"domain_scores_gemma":[0.9956492,0.0032560334,0.00036250503,0.000098808014,0.00050801755,0.00012539787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066840975,0.0001007303,0.0002648391,0.00024474718,0.00029668695,0.000091130474,0.000086552114,0.00004852327,0.0000577071],"category_scores_gemma":[0.0032721893,0.0000636736,0.00018762038,0.0011172384,0.000061084706,0.00011551829,0.000029845542,0.00020469008,0.000007356565],"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":[0.002300644,0.0013435497,0.038042516,0.00016068148,0.017319234,0.00002263198,0.0017068167,0.021207783,0.00051223545,0.8918086,0.013087029,0.012488248],"study_design_scores_gemma":[0.002469604,0.0010141648,0.10710552,0.000025756419,0.005580564,0.00006490412,0.00090194494,0.7716855,0.00003918686,0.06934885,0.04139624,0.0003678054],"about_ca_topic_score_codex":0.0000065461304,"about_ca_topic_score_gemma":0.000019167233,"teacher_disagreement_score":0.82245976,"about_ca_system_score_codex":0.000034387092,"about_ca_system_score_gemma":0.00008587029,"threshold_uncertainty_score":0.39173526},"labels":[],"label_agreement":null},{"id":"W3119093170","doi":"10.5802/jtnb.1139","title":"On Selberg’s Central Limit Theorem for Dirichlet <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>L</mml:mi> </mml:math> -functions","year":2021,"lang":"en","type":"article","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"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 Lethbridge; National Science Foundation","keywords":"Mathematics; Central limit theorem; Humanities; Combinatorics; Statistics; Philosophy","score_opus":0.027673208962629415,"score_gpt":0.2727296971641076,"score_spread":0.24505648820147818,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119093170","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":[0.9648247,0.00023624583,0.021396682,0.0015804218,0.0010924989,0.000102915874,0.00022316037,0.00013861098,0.010404795],"genre_scores_gemma":[0.9780645,0.00023636034,0.01810859,0.00078561803,0.0011819432,0.00018675848,0.00014524661,0.00015872097,0.0011322787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99698585,0.00019529837,0.0007773526,0.0004519986,0.00070577627,0.0008836926],"domain_scores_gemma":[0.99538803,0.0026543099,0.0004866149,0.0006898536,0.00037963197,0.0004015839],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011516276,0.00033287288,0.00026429625,0.00013813292,0.0009808202,0.0004656737,0.00040697362,0.0003879166,0.00023145703],"category_scores_gemma":[0.0055427565,0.00036892082,0.0006287271,0.0003839988,0.00024524587,0.00039237444,0.00017649672,0.0007834192,0.00025704686],"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":[0.0006292896,0.00046675635,0.00005500669,0.0002409429,0.00038627765,0.00014725057,0.00093390816,0.001989859,0.0005431866,0.98359,0.010223546,0.0007939842],"study_design_scores_gemma":[0.002320035,0.0012135351,0.00077021366,0.0005392565,0.00081474276,0.002585657,0.0022834188,0.28011745,0.005746901,0.6779551,0.024901416,0.0007522935],"about_ca_topic_score_codex":0.000043327454,"about_ca_topic_score_gemma":0.00022914365,"teacher_disagreement_score":0.30563492,"about_ca_system_score_codex":0.00020561577,"about_ca_system_score_gemma":0.0013486366,"threshold_uncertainty_score":0.99987626},"labels":[],"label_agreement":null},{"id":"W3126865877","doi":"10.1007/s40096-020-00368-z","title":"Bi-additive $$\\sigma$$-random operator inequalities and random quasi-$$*$$-multipliers on MB-algebras","year":2021,"lang":"en","type":"article","venue":"Mathematical sciences","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sigma; Operator (biology); Pure mathematics; Banach space; Random compact set; Point (geometry); Inequality; Random variable; Discrete mathematics; Random element; Algebra over a field; Mathematical analysis; Statistics","score_opus":0.07231340564479394,"score_gpt":0.32995998411148236,"score_spread":0.2576465784666884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3126865877","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":[0.91838366,0.0001650826,0.029544981,0.0045485958,0.0003537924,0.0009851675,0.00015311028,0.0002451534,0.045620468],"genre_scores_gemma":[0.96998924,0.000026563894,0.02729606,0.00041998303,0.00011743468,0.00014906064,0.00001258157,0.000025250007,0.001963853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969755,0.00036386837,0.0006464695,0.0006196826,0.00097349455,0.00042101182],"domain_scores_gemma":[0.98849475,0.010593442,0.00012918557,0.00035416815,0.00022734355,0.00020107804],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020362774,0.00027159366,0.0005543626,0.00011862682,0.000576106,0.00029826126,0.00025367623,0.00011052296,0.0011415057],"category_scores_gemma":[0.016870746,0.00019429284,0.00012970481,0.0005993714,0.0009847372,0.00029063504,0.00014082607,0.00020217705,0.0001567624],"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":[0.00016812696,0.00063746655,0.00014265678,0.00019457293,0.00004944294,0.000012488866,0.0031386346,0.00003333599,0.0004241335,0.9930808,0.0010828276,0.001035529],"study_design_scores_gemma":[0.0034423454,0.0003456406,0.00016379546,0.00025901807,0.000058694233,0.0000399652,0.007400413,0.0084985355,0.0048791463,0.9736947,0.000796286,0.0004214492],"about_ca_topic_score_codex":0.0000135143055,"about_ca_topic_score_gemma":0.000038076083,"teacher_disagreement_score":0.05160556,"about_ca_system_score_codex":0.0000752962,"about_ca_system_score_gemma":0.00022998774,"threshold_uncertainty_score":0.9997716},"labels":[],"label_agreement":null},{"id":"W3209736999","doi":"","title":"Cauchy’s means of Mercer Type","year":2011,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Type (biology); Cauchy distribution; Statistics; Geology","score_opus":0.1988763507986497,"score_gpt":0.32838094365223186,"score_spread":0.12950459285358215,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3209736999","genre_codex":"other","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":[0.40766075,0.00018944495,0.01537001,0.00022769612,0.00040675426,0.001079291,0.00008431161,0.0003501202,0.57463163],"genre_scores_gemma":[0.877828,0.000004428465,0.12040627,0.000023414033,0.000025172334,0.000026307902,0.0000044574062,0.000034627286,0.0016473515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984017,0.00007664924,0.00066413154,0.0002361145,0.00039447544,0.00022691014],"domain_scores_gemma":[0.99776334,0.0008518329,0.00018364763,0.0007895695,0.0003285503,0.000083046114],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00066350464,0.00017097294,0.00036733988,0.000106773565,0.000055584176,0.0000059644394,0.00024695764,0.00009122789,0.005308264],"category_scores_gemma":[0.0033745666,0.00014287356,0.00013418899,0.0003057241,0.0001766727,0.000106313484,0.00007384645,0.000111970585,0.00040748183],"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":[0.00013997333,0.0011415329,0.0002751935,0.00083499844,0.000166957,0.0000028446445,0.012237317,0.0000011053237,0.0006988991,0.97885334,0.0049818503,0.00066595426],"study_design_scores_gemma":[0.00031593457,0.00015362381,0.00085756794,0.000109922206,0.00011560634,0.000011626792,0.00096834573,0.00072688214,0.0033145146,0.9927483,0.0004998952,0.00017777654],"about_ca_topic_score_codex":0.000034870347,"about_ca_topic_score_gemma":0.000026360553,"teacher_disagreement_score":0.5729843,"about_ca_system_score_codex":0.00004672688,"about_ca_system_score_gemma":0.000077130804,"threshold_uncertainty_score":0.995601},"labels":[],"label_agreement":null},{"id":"W3213086953","doi":"10.2298/fil2102399l","title":"Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses","year":2021,"lang":"en","type":"article","venue":"Filomat","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Xiangnan University","keywords":"Mathematics; Stability (learning theory); Stochastic differential equation; Gronwall's inequality; Applied mathematics; Fixed point; Fixed-point theorem; Differential equation; Type (biology); Mathematical analysis; Inequality; Computer science","score_opus":0.06173087680651418,"score_gpt":0.29051517997456083,"score_spread":0.22878430316804665,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3213086953","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":[0.81842834,0.000052719974,0.17986518,0.00017033507,0.000113453054,0.0003419219,0.00015965285,0.00005456477,0.0008138153],"genre_scores_gemma":[0.9893844,0.0000016110023,0.010293099,0.000009176561,0.000041011,0.000042472,0.00005237648,0.000015359932,0.00016051007],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986359,0.00013083848,0.00038690082,0.0003072571,0.00037384912,0.0001652543],"domain_scores_gemma":[0.99612033,0.002656271,0.00014681197,0.00045715965,0.00054687686,0.0000725355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018825753,0.00014624155,0.0003170645,0.000047139547,0.00011845019,0.000033043663,0.0000797798,0.000056243687,0.0006708772],"category_scores_gemma":[0.0054152715,0.00011898578,0.00006509156,0.00022287919,0.00021646674,0.00012403783,0.000074342286,0.000100619676,0.0000071062586],"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":[0.009115986,0.009915198,0.018357307,0.0072106677,0.001993816,0.000080603306,0.021595398,0.0013546657,0.0752253,0.8466388,0.002321066,0.0061911936],"study_design_scores_gemma":[0.03058634,0.0016288932,0.08160563,0.0011407451,0.0016156735,0.00019584404,0.008601254,0.06488657,0.059061613,0.74833983,0.00016759027,0.0021700196],"about_ca_topic_score_codex":0.000023696537,"about_ca_topic_score_gemma":0.00018752032,"teacher_disagreement_score":0.17095603,"about_ca_system_score_codex":0.00005011391,"about_ca_system_score_gemma":0.00016830774,"threshold_uncertainty_score":0.7345635},"labels":[],"label_agreement":null},{"id":"W4210789308","doi":"10.28924/2291-8639-20-2022-8","title":"n-Convexity via Delta-Integral Representation of Divided Difference on Time Scales","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Convexity; Representation (politics); Delta; Regular polygon; Set (abstract data type); Pure mathematics; Scale (ratio); Applied mathematics; Calculus (dental); Mathematical analysis; Geometry; Computer science","score_opus":0.0359731370447399,"score_gpt":0.3360100709061107,"score_spread":0.30003693386137076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4210789308","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":[0.764675,0.000034884586,0.23247862,0.0017366519,0.00007433728,0.00018292753,0.00023521,0.000012588079,0.00056975835],"genre_scores_gemma":[0.9964549,0.0000146229795,0.0030465047,0.000055053635,0.00008781927,0.000042734133,0.000074795826,0.0000062187064,0.00021732763],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99815685,0.00011921007,0.00068927277,0.00016436123,0.00079920975,0.00007109059],"domain_scores_gemma":[0.9974522,0.00084288133,0.0007352268,0.00020699679,0.000708327,0.000054372824],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004704215,0.0000898062,0.00028746037,0.00050061947,0.00013339025,0.000028285782,0.0003394149,0.0000235849,0.00034468036],"category_scores_gemma":[0.00030102927,0.000078968136,0.00028276903,0.000644367,0.00008456348,0.00008619536,0.00009799618,0.00017623561,0.0000034180202],"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":[0.0031695163,0.010137028,0.15624185,0.00009394547,0.020320015,0.000024022158,0.0026029674,0.042109348,0.05192305,0.559157,0.0037039847,0.15051724],"study_design_scores_gemma":[0.0021897855,0.00076073,0.19059364,0.00004172997,0.0024574876,0.00012563742,0.0009982502,0.067731656,0.0068303663,0.7258153,0.0019976366,0.00045776024],"about_ca_topic_score_codex":0.000060784143,"about_ca_topic_score_gemma":0.00003174002,"teacher_disagreement_score":0.23177989,"about_ca_system_score_codex":0.00010690452,"about_ca_system_score_gemma":0.000042399948,"threshold_uncertainty_score":0.37740082},"labels":[],"label_agreement":null},{"id":"W4220747706","doi":"10.1007/s40065-022-00366-0","title":"RETRACTED ARTICLE: An elementary proof of the Brouwer’s fixed point theorem","year":2022,"lang":"en","type":"article","venue":"Arabian Journal of Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":true,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Elementary proof; Social connectedness; Fixed-point theorem; Brouwer fixed-point theorem; Compact space; Lefschetz fixed-point theorem; Fixed point; Kakutani fixed-point theorem; Discrete mathematics; Fixed-point property; Set (abstract data type); Point (geometry); Topology (electrical circuits); Schauder fixed point theorem; Pure mathematics; Combinatorics; Mathematical analysis; Computer science","score_opus":0.042115062905575096,"score_gpt":0.28788492120202364,"score_spread":0.24576985829644854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220747706","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":[0.9932027,0.000033291457,0.0033452604,0.001552337,0.0003286129,0.00045835826,0.00005489134,0.000017471533,0.0010070811],"genre_scores_gemma":[0.9645612,0.0000014099293,0.034994394,0.00011565433,0.000092080554,0.0000121849025,0.0000032797407,0.000033397526,0.000186375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965944,0.00044186026,0.001406525,0.00013671887,0.0012049525,0.00021551714],"domain_scores_gemma":[0.99630064,0.0009871883,0.0014732206,0.00069203647,0.00044821037,0.00009872854],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003221057,0.00016182005,0.0003862402,0.00012319825,0.0002461226,0.00002468979,0.0006758183,0.000053158023,0.0011912918],"category_scores_gemma":[0.0024246906,0.000113881775,0.00025940308,0.00046162936,0.00013688064,0.00026108616,0.00017319238,0.00069197797,0.0000024798192],"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":[0.0016472357,0.03093775,0.010858503,0.0023849956,0.0020930662,0.0001095079,0.07249511,0.009187061,0.075382106,0.74284,0.04049251,0.011572166],"study_design_scores_gemma":[0.0016071724,0.0010486777,0.0016416197,0.0001580006,0.00026998552,0.00064650265,0.011401036,0.0049971784,0.020389188,0.9571637,0.00044064276,0.00023629573],"about_ca_topic_score_codex":0.0000038001808,"about_ca_topic_score_gemma":0.00001278628,"teacher_disagreement_score":0.21432371,"about_ca_system_score_codex":0.0001947875,"about_ca_system_score_gemma":0.00022837118,"threshold_uncertainty_score":0.99972177},"labels":[],"label_agreement":null},{"id":"W4220799029","doi":"10.1007/s00233-021-10248-0","title":"Levi-Civita functional equations and the status of spectral synthesis on semigroups-II","year":2022,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Prime (order theory); Commutative property; Semigroup; Pure mathematics; Ideal (ethics); Prime ideal; Element (criminal law); Algebra over a field; Spectral properties; Combinatorics; Law","score_opus":0.04178086187721122,"score_gpt":0.2661747514981081,"score_spread":0.22439388962089687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220799029","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":[0.9467496,0.0005659675,0.008442189,0.017317042,0.00092864863,0.0017914617,0.0014101564,0.0002342073,0.022560699],"genre_scores_gemma":[0.99642235,0.00002097613,0.00084450335,0.00024331684,0.00007780011,0.00037672074,0.000056652763,0.00003089907,0.0019267945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99756306,0.00029014054,0.00049976114,0.00034325768,0.0008020011,0.00050179835],"domain_scores_gemma":[0.9923581,0.0066690054,0.00023960244,0.0005398938,0.00009378592,0.00009964181],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001019274,0.00019259432,0.00030763244,0.00014934083,0.0010251099,0.00002328717,0.00019600526,0.000049861337,0.0010530239],"category_scores_gemma":[0.004112337,0.00014951083,0.00018256773,0.00040876816,0.00028414157,0.0001197891,0.00031509262,0.00034710692,0.000012838762],"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":[0.00091850327,0.00057241734,0.0015414018,0.000054369084,0.00016127074,0.0000012008016,0.0013737876,0.0016329533,0.00064092193,0.97629595,0.01530242,0.0015048323],"study_design_scores_gemma":[0.0060640452,0.0012351864,0.012647768,0.00009009369,0.00044500965,0.0000686675,0.01170887,0.02437196,0.0015421152,0.909946,0.031085417,0.00079485966],"about_ca_topic_score_codex":0.0002035639,"about_ca_topic_score_gemma":0.0002547452,"teacher_disagreement_score":0.066349916,"about_ca_system_score_codex":0.0003056195,"about_ca_system_score_gemma":0.00014842936,"threshold_uncertainty_score":0.99986017},"labels":[],"label_agreement":null},{"id":"W4221104380","doi":"10.28924/2291-8639-20-2022-15","title":"Generalized Ulam-Hyers Stability Results of a Quadratic Functional Equation in Felbin’s Type Fuzzy Normed Linear Spaces","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Type (biology); Quadratic equation; Stability (learning theory); Fuzzy logic; Functional equation; Functional analysis; Normed vector space; Fixed point; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Differential equation","score_opus":0.07098949429352919,"score_gpt":0.33169316626464423,"score_spread":0.26070367197111505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221104380","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":[0.96076447,0.00010743756,0.035421707,0.002516712,0.00019303356,0.0003240701,0.00025422726,0.000012801156,0.0004055435],"genre_scores_gemma":[0.9922491,0.000045299912,0.0071357903,0.000043421256,0.00013837131,0.000062899446,0.00019184336,0.000009687543,0.0001236051],"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969971,0.000236563,0.0013523754,0.00025056265,0.0010437387,0.00011961399],"domain_scores_gemma":[0.9962577,0.0009938466,0.0010839149,0.00026246108,0.001331278,0.00007079229],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017824896,0.00013052425,0.00039128333,0.000873481,0.00013023714,0.00003628623,0.0003026666,0.000044738827,0.00028879402],"category_scores_gemma":[0.0010467198,0.00012387286,0.00025039964,0.0014647447,0.000093492206,0.00018894287,0.00010444448,0.00025001305,0.000002210404],"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":[0.012114041,0.0108698,0.14661247,0.00027888964,0.012624269,0.00002789575,0.008440361,0.38031974,0.035936337,0.3768556,0.002737738,0.013182846],"study_design_scores_gemma":[0.020022973,0.0015978175,0.18713218,0.00014445603,0.004813599,0.00017895666,0.012530181,0.23391813,0.0049292673,0.5170944,0.01616329,0.0014748091],"about_ca_topic_score_codex":0.00020024095,"about_ca_topic_score_gemma":0.00036823776,"teacher_disagreement_score":0.1464016,"about_ca_system_score_codex":0.00031815635,"about_ca_system_score_gemma":0.00025860302,"threshold_uncertainty_score":0.5051389},"labels":[],"label_agreement":null},{"id":"W4229042818","doi":"10.21203/rs.3.rs-1618332/v1","title":"Special functions and multi-stability of the Jensen type random operator equation in C*-algebras via fixed point","year":2022,"lang":"en","type":"preprint","venue":"Research Square","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada; Iran University of Science and Technology","keywords":"Homomorphism; Operator (biology); Mathematics; Fixed point; Pure mathematics; Stability (learning theory); Type (biology); Functional equation; Class (philosophy); Lie algebra; Fixed-point theorem; Discrete mathematics; Algebra over a field; Mathematical analysis; Differential equation; Computer science; Chemistry","score_opus":0.20699050667035446,"score_gpt":0.4092268348748899,"score_spread":0.20223632820453546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4229042818","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":[0.98741496,0.00017296348,0.0015591058,0.0016394845,0.0013239125,0.0049889,0.00063240726,0.000054487995,0.0022137964],"genre_scores_gemma":[0.99596834,0.00003712653,0.0017970841,0.000011106645,0.0005886433,0.0005815389,0.00020157079,0.000049796166,0.00076479133],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99358785,0.0027738141,0.00088863674,0.0007292329,0.0016163958,0.00040408268],"domain_scores_gemma":[0.9925179,0.0045418544,0.00022112331,0.0013522113,0.0012602244,0.00010671194],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0063745,0.0002548879,0.0005160794,0.00038988548,0.00044325608,0.000078965466,0.00046763103,0.00027177893,0.0025334992],"category_scores_gemma":[0.02184445,0.00020690751,0.00019874543,0.0011147177,0.00041326656,0.00010837965,0.0019432661,0.002000748,0.000023703149],"study_design_candidate":"observational","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":[0.035714556,0.028731808,0.5450855,0.038124602,0.002100439,0.000082995095,0.09733958,0.030578578,0.0244331,0.12278708,0.05147885,0.023542924],"study_design_scores_gemma":[0.02468887,0.0017148763,0.31848353,0.0020148752,0.0003152446,0.000024718573,0.026960745,0.12254369,0.0041178195,0.49024493,0.0066349898,0.002255699],"about_ca_topic_score_codex":0.00078908866,"about_ca_topic_score_gemma":0.0028763479,"teacher_disagreement_score":0.36745787,"about_ca_system_score_codex":0.0009776738,"about_ca_system_score_gemma":0.0011403731,"threshold_uncertainty_score":0.99837834},"labels":[],"label_agreement":null},{"id":"W4241299782","doi":"10.23952/jnva.4.2020.2.05","title":"Convex decompositions and the valence of some functions","year":2020,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","keywords":"Valence (chemistry); Regular polygon; Mathematics; Pure mathematics; Physics; Geometry; Quantum mechanics","score_opus":0.03787907542268726,"score_gpt":0.29178530428245303,"score_spread":0.25390622885976577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4241299782","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":[0.4877567,0.00077889237,0.4394243,0.0706665,0.00015710185,0.0002723658,0.00058204844,0.000018273471,0.00034380978],"genre_scores_gemma":[0.9684765,0.0000898781,0.030764822,0.00031547694,0.00027111292,0.0000021463004,0.000020719956,0.000004874756,0.000054500844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99886996,0.00011079597,0.0005545104,0.000091687005,0.00031770504,0.00005532661],"domain_scores_gemma":[0.9971119,0.0018191274,0.00041532962,0.00008050444,0.00049674936,0.00007635817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005691087,0.00006981264,0.00031776054,0.00013616517,0.00012349071,0.000023569486,0.00007671695,0.000032458927,0.00011574243],"category_scores_gemma":[0.0012191478,0.00004518861,0.00021319349,0.0005087819,0.00013638774,0.00016728246,0.000030481695,0.00013221918,0.0000016132844],"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":[0.0024967603,0.00109535,0.02828442,0.00029931334,0.0143681085,0.0000066602624,0.005784213,0.023491636,0.0016597952,0.9191847,0.0022051577,0.0011239056],"study_design_scores_gemma":[0.004907606,0.00035360653,0.058183607,0.0000362711,0.009564895,0.00007181898,0.0009242247,0.63548505,0.000099491976,0.2891849,0.0009585483,0.00022999768],"about_ca_topic_score_codex":0.000011788382,"about_ca_topic_score_gemma":0.000006466649,"teacher_disagreement_score":0.62999976,"about_ca_system_score_codex":0.000012721673,"about_ca_system_score_gemma":0.000078520105,"threshold_uncertainty_score":0.18427381},"labels":[],"label_agreement":null},{"id":"W4242046230","doi":"10.1007/978-94-017-0399-4_6","title":"Other Topics","year":2003,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Cover (algebra); Variety (cybernetics); Variable (mathematics); Algebra over a field; Inequality; Pure mathematics; Calculus (dental); Mathematical analysis; Statistics; Engineering","score_opus":0.1006937051014643,"score_gpt":0.2997315751803049,"score_spread":0.1990378700788406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4242046230","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000025262227,0.000035568584,0.0023795825,0.000756851,0.00024873004,0.00021914409,0.000032235166,0.000093513736,0.99623185],"genre_scores_gemma":[0.000007449113,0.0000044831454,0.012886291,0.0006012195,0.00018587803,0.0000063569873,0.000012799733,0.00005304534,0.9862425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999114,0.000008919546,0.00028586586,0.00022454598,0.00026273017,0.000103961385],"domain_scores_gemma":[0.99902076,0.00024463076,0.000093576695,0.00048294477,0.000116939824,0.000041146475],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00013186512,0.00018542071,0.00021382692,0.000057861133,0.000037769074,0.000015305608,0.00009227658,0.00025809027,0.015141036],"category_scores_gemma":[0.00025969217,0.00016077589,0.00012735151,0.00001225508,0.00004396418,0.000026194553,0.000023527375,0.00018876285,0.00096870307],"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":[0.0000029999298,0.000013536345,8.812555e-7,0.00003304864,0.000032298605,7.98953e-7,0.000015124958,4.2510678e-7,6.9666e-7,0.921601,0.07774807,0.00055110647],"study_design_scores_gemma":[0.000059219947,0.000009592986,2.8932325e-7,0.0000127528965,0.000017030336,0.000002143097,0.0000015573876,0.0000038440035,0.0000042256706,0.50572467,0.49407282,0.00009187633],"about_ca_topic_score_codex":0.0000047829963,"about_ca_topic_score_gemma":0.000054831915,"teacher_disagreement_score":0.41632473,"about_ca_system_score_codex":0.00009252366,"about_ca_system_score_gemma":0.00004171591,"threshold_uncertainty_score":0.99980915},"labels":[],"label_agreement":null},{"id":"W4243506006","doi":"10.23952/asvao.2.2020.3.04","title":"The Ulam-Hyers stability of an ordinary differential equation via Gronwall lemmas","year":2020,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Ordinary differential equation; Stability (learning theory); Mathematics; Bernoulli differential equation; Applied mathematics; Linear multistep method; L-stability; Differential (mechanical device); Differential equation; Exact differential equation; Mathematical analysis; Computer science; Differential algebraic equation; Physics","score_opus":0.053149744222083725,"score_gpt":0.2731226674347317,"score_spread":0.21997292321264794,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243506006","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":[0.26435548,0.000014171049,0.73453605,0.00037450428,0.000025516758,0.00036583527,0.00003121998,0.00005443234,0.00024281755],"genre_scores_gemma":[0.9628399,0.00001891582,0.03640381,0.000043069536,0.000060009846,0.0000522247,0.0005528214,0.000019495976,0.0000097224665],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979696,0.00021813357,0.00069044216,0.0004466817,0.000493166,0.0001819652],"domain_scores_gemma":[0.9983067,0.00051815104,0.00037169343,0.00043365057,0.00024837672,0.000121442165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006479537,0.00019412086,0.0003917462,0.00010683117,0.0003448315,0.00007666565,0.00017142063,0.00010624057,0.00021468752],"category_scores_gemma":[0.0004377638,0.0001507058,0.00015082439,0.0010569349,0.00014923881,0.00017865638,0.000072817675,0.00012672765,0.0000024142234],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011809743,0.0007191993,0.0013753404,0.00022771875,0.0018471577,6.4027773e-7,0.004361875,0.9021001,0.005358296,0.073688224,0.00010117666,0.009039331],"study_design_scores_gemma":[0.00057057355,0.000102747545,0.0011123725,0.000002479956,0.0010449237,2.446528e-7,0.0005311898,0.9855167,0.0011218315,0.009819563,0.000014718536,0.00016263418],"about_ca_topic_score_codex":0.000063584586,"about_ca_topic_score_gemma":0.00008726981,"teacher_disagreement_score":0.6984845,"about_ca_system_score_codex":0.000057554535,"about_ca_system_score_gemma":0.000043829616,"threshold_uncertainty_score":0.6145604},"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":"W4246633071","doi":"10.1090/surv/231/07","title":"Extension and separation properties of positive definite functions","year":2018,"lang":"en","type":"book-chapter","venue":"Mathematical surveys and monographs","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Extension (predicate logic); Separation (statistics); Mathematics; Positive-definite matrix; Computer science; Statistics; Physics; Programming language","score_opus":0.0929287923147493,"score_gpt":0.2904221843727534,"score_spread":0.1974933920580041,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4246633071","genre_codex":"other","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":[0.38159868,0.0035374633,0.123173684,0.00059763,0.00054838596,0.0050419294,0.0019548915,0.0004574206,0.48308992],"genre_scores_gemma":[0.7673999,0.00076122175,0.02331634,0.00009145375,0.00028831823,0.00017916033,0.00048089903,0.0002953194,0.20718737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998261,0.00016790767,0.00065541535,0.00041434367,0.00033654188,0.00016481627],"domain_scores_gemma":[0.9978837,0.00090145983,0.0002808561,0.0003699862,0.00045715092,0.00010684216],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015732824,0.00031865932,0.0005739855,0.00021039748,0.00016756686,0.00004649194,0.00006189348,0.00029110993,0.00026839992],"category_scores_gemma":[0.0006455605,0.00024809458,0.00013999097,0.00006857144,0.00060586305,0.000104241146,0.00010392514,0.00019024157,0.0000391599],"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":[0.00017927702,0.00041159728,0.000106265354,0.0021715912,0.00054844894,0.0000031907732,0.0020885707,0.0000011657136,0.0009183942,0.98496777,0.0024214573,0.006182266],"study_design_scores_gemma":[0.00035328406,0.00036675224,0.0007727908,0.00088301755,0.0002926956,0.000028219592,0.00010562445,0.000521876,0.00017955848,0.9954291,0.0007022944,0.0003647995],"about_ca_topic_score_codex":0.000011047078,"about_ca_topic_score_gemma":0.000045769524,"teacher_disagreement_score":0.38580126,"about_ca_system_score_codex":0.000020371186,"about_ca_system_score_gemma":0.000035209418,"threshold_uncertainty_score":0.99999714},"labels":[],"label_agreement":null},{"id":"W4250246413","doi":"10.1007/978-0-387-89492-8_13","title":"Difference Equations","year":2009,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Significant difference; Quadratic equation; Applied mathematics; Cauchy distribution; Product (mathematics); Mathematical analysis; Pure mathematics; Statistics; Geometry","score_opus":0.08035686435186616,"score_gpt":0.2983415944675004,"score_spread":0.21798473011563424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250246413","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0011373266,0.00039806488,0.01813468,0.0003493999,0.00038104944,0.0016694597,0.00015233974,0.00046566466,0.977312],"genre_scores_gemma":[0.0152900675,0.0004199314,0.2468965,0.00014370345,0.00035933623,0.0002256921,0.00016673727,0.00040403608,0.736094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99662465,0.00003194874,0.0014196422,0.00063108373,0.00084779,0.00044488788],"domain_scores_gemma":[0.9955098,0.0020933903,0.00061953574,0.0014138472,0.0002324632,0.00013096168],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007163951,0.0006593579,0.0008939793,0.00089157367,0.00012712093,0.000084116204,0.0005655275,0.00057260686,0.00044802637],"category_scores_gemma":[0.0012997331,0.0006649911,0.00042344484,0.0002276213,0.0002004714,0.00010044812,0.00014471967,0.00089689204,0.00022637422],"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":[0.0000095056175,0.00028325766,0.000023014787,0.00033668778,0.000073189694,0.000009479164,0.00062436727,0.000022390634,0.000014276439,0.9939856,0.0004925374,0.0041256947],"study_design_scores_gemma":[0.00032774996,0.0000646559,0.00008985663,0.0007984775,0.00012308545,0.000005649037,0.000043432312,0.0013874795,0.000014882028,0.9920319,0.004508299,0.000604537],"about_ca_topic_score_codex":0.000004969339,"about_ca_topic_score_gemma":0.00013067819,"teacher_disagreement_score":0.24121802,"about_ca_system_score_codex":0.0002485276,"about_ca_system_score_gemma":0.00013144418,"threshold_uncertainty_score":0.99958014},"labels":[],"label_agreement":null},{"id":"W4254855578","doi":"10.1090/fic/042/25","title":"Stability criteria for a kind of delay functional equation","year":2004,"lang":"en","type":"other","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Stability (learning theory); Mathematics; Functional equation; Computer science; Applied mathematics; Mathematical analysis; Differential equation; Machine learning","score_opus":0.18066193647697734,"score_gpt":0.35369905864654244,"score_spread":0.1730371221695651,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4254855578","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00027368122,0.0000553343,0.61589485,0.00021708848,0.00069782865,0.0020005722,0.0011921466,0.0002443998,0.37942412],"genre_scores_gemma":[0.023600621,0.0000072729604,0.32552326,0.00008211757,0.0010135768,0.00077066215,0.0016542559,0.00080508605,0.64654315],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982986,0.00006196888,0.0006021968,0.00040884654,0.00044695326,0.00018144528],"domain_scores_gemma":[0.997646,0.0010097339,0.0003885349,0.00054526865,0.0003574561,0.00005304286],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00058924477,0.00024782578,0.00041471396,0.00019779538,0.00004147526,0.000015052147,0.00012191766,0.0003392446,0.020692086],"category_scores_gemma":[0.002122589,0.00022643013,0.00021762948,0.000159237,0.00011060427,0.00005700359,0.000035096764,0.00010607798,0.000052808322],"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":[0.00039881992,0.001076279,0.00006082665,0.0027430598,0.00030008907,3.3348002e-7,0.00018538715,0.00004182496,0.0005440099,0.4683314,0.52573395,0.000584029],"study_design_scores_gemma":[0.0031518484,0.00034744292,0.00016474581,0.00035263787,0.00028770952,0.0000053070735,0.0001283374,0.001393534,0.0012914571,0.86913973,0.12308267,0.00065460685],"about_ca_topic_score_codex":0.00019121102,"about_ca_topic_score_gemma":0.0007039806,"teacher_disagreement_score":0.40265128,"about_ca_system_score_codex":0.00023363299,"about_ca_system_score_gemma":0.00039154265,"threshold_uncertainty_score":0.98020315},"labels":[],"label_agreement":null},{"id":"W4287831871","doi":"10.5539/jmr.v14n4p85","title":"Controllability and Hyers-Ulam Stability of Impulsive Integro-differential Equations in Banach Spaces via Iterative Methods","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Controllability; Banach space; Mathematics; Stability (learning theory); Differential equation; Differential (mechanical device); Applied mathematics; Iterative method; Mathematical analysis; Mathematical optimization; Computer science; Physics; Thermodynamics","score_opus":0.20491655245025336,"score_gpt":0.48011216550612035,"score_spread":0.275195613055867,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4287831871","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":[0.8550448,0.00018264372,0.1424339,0.00082258804,0.00013666794,0.00087246223,0.00007360751,0.000008148815,0.00042520903],"genre_scores_gemma":[0.91570705,0.000009903317,0.08408831,0.000004672937,0.000043081836,0.00006164581,0.000003772228,0.000021096053,0.00006047187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.991734,0.0038421436,0.0018340044,0.00028876986,0.001928746,0.00037228724],"domain_scores_gemma":[0.9699465,0.02643603,0.00085547386,0.00052231696,0.0020939598,0.00014573344],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.019772746,0.00019345929,0.0008576097,0.00080478616,0.0002824396,0.000068771966,0.0004560033,0.00008775742,0.0008343734],"category_scores_gemma":[0.030124549,0.00016084094,0.00020703026,0.0009314949,0.00047843272,0.00025422755,0.0004625524,0.0014048503,0.0000014135021],"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":[0.0062936815,0.032938596,0.015534644,0.0077573536,0.0021742499,0.00009538162,0.22621553,0.0029126366,0.27566713,0.4115848,0.0016845468,0.017141446],"study_design_scores_gemma":[0.0030508493,0.0015274808,0.0014058582,0.00013283441,0.000092949085,0.000078016856,0.03582118,0.080117464,0.007865079,0.8696048,0.00006656125,0.00023691167],"about_ca_topic_score_codex":0.000077324796,"about_ca_topic_score_gemma":0.000121614714,"teacher_disagreement_score":0.45802003,"about_ca_system_score_codex":0.00080841314,"about_ca_system_score_gemma":0.0005579433,"threshold_uncertainty_score":0.9780451},"labels":[],"label_agreement":null},{"id":"W4296471995","doi":"","title":"Walks in the quarter plane: a functional equation approach","year":2002,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Plane (geometry); Computer science; Mathematics; Geometry; History","score_opus":0.0643878987671432,"score_gpt":0.253227944019438,"score_spread":0.1888400452522948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4296471995","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":[0.08642828,0.0004458999,0.6422149,0.024865389,0.0004969301,0.0022751545,0.0002442754,0.00038342658,0.24264576],"genre_scores_gemma":[0.9331014,0.00006016038,0.057795737,0.00016041701,0.000085240325,0.0005641089,0.0017439387,0.00005563245,0.0064333356],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9900944,0.0068563414,0.00085138046,0.00082965725,0.0010140764,0.000354144],"domain_scores_gemma":[0.98903066,0.0066927844,0.00052145123,0.0023316252,0.0013382966,0.000085164116],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.009482024,0.00037248558,0.00037525062,0.0002794598,0.00032544817,0.00035367502,0.0010435939,0.00039444913,0.00043238202],"category_scores_gemma":[0.0051806886,0.0003236194,0.00023412515,0.0005251122,0.00020218187,0.00015564631,0.00044928427,0.0011331382,0.000104237144],"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":[0.00008186317,0.0050523276,0.002294811,0.0008801434,0.00017427026,0.000006311527,0.049252287,0.0016028647,0.00021588146,0.9049059,0.026625875,0.00890746],"study_design_scores_gemma":[0.002886996,0.0000023238545,0.022645922,0.0017591214,0.00018016738,0.00008186357,0.0022334708,0.37255362,0.00079292944,0.5821479,0.013196728,0.0015189714],"about_ca_topic_score_codex":0.000494535,"about_ca_topic_score_gemma":0.001013872,"teacher_disagreement_score":0.84667313,"about_ca_system_score_codex":0.00026774209,"about_ca_system_score_gemma":0.00021720855,"threshold_uncertainty_score":0.99992156},"labels":[],"label_agreement":null},{"id":"W4303415500","doi":"10.1186/s13660-022-02869-y","title":"Laplace inverse and MR approach to existence of a unique solution and the Hyers–Ulam–Wright stability analysis of the nonhomogeneous fractional delay oscillation equation by matrix-valued fuzzy controllers","year":2022,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Fuzzy logic; Applied mathematics; Matrix (chemical analysis); Laplace transform; Stability (learning theory); Mathematical analysis; Fixed-point theorem; Oscillation (cell signaling); Computer science","score_opus":0.0471960521806331,"score_gpt":0.2874855387774194,"score_spread":0.24028948659678628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4303415500","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":[0.7843574,0.00032341795,0.21182407,0.0017950976,0.0000335561,0.0009326616,0.0004477131,0.0000066716907,0.00027940242],"genre_scores_gemma":[0.9951544,0.000049329326,0.004458352,0.00006672304,0.000026636868,0.0001328774,0.00002507617,0.000006816257,0.0000798181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978378,0.000523023,0.00084413495,0.00016717415,0.00053162314,0.000096241776],"domain_scores_gemma":[0.9964972,0.0017516683,0.000959961,0.00025810726,0.0004764378,0.00005659652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002202705,0.00010962684,0.0003734328,0.0001644686,0.0004215627,0.000025183072,0.00013685008,0.000045209556,0.000018155202],"category_scores_gemma":[0.0006348221,0.000073414274,0.00013722724,0.0006832954,0.00029603436,0.00011622231,0.00009899772,0.00017857234,7.343195e-8],"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":[0.0022953944,0.0008604196,0.006168315,0.00036218812,0.0014041173,1.7256205e-7,0.011394913,0.059434153,0.0061803684,0.9103376,0.0008756313,0.00068669935],"study_design_scores_gemma":[0.008652852,0.000628444,0.007721511,0.00006654204,0.004295629,0.0001367911,0.048291862,0.5747986,0.0008710034,0.35029638,0.0036362917,0.0006041336],"about_ca_topic_score_codex":0.0002296514,"about_ca_topic_score_gemma":0.00010505303,"teacher_disagreement_score":0.56004125,"about_ca_system_score_codex":0.0001356315,"about_ca_system_score_gemma":0.00012391426,"threshold_uncertainty_score":0.32423618},"labels":[],"label_agreement":null},{"id":"W4312735974","doi":"10.5486/pmd.2001.2411","title":"Group valued $q$-additive functions on polynomial values","year":2001,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Polynomial; Group (periodic table); Pure mathematics; Algebra over a field; Discrete mathematics; Mathematical analysis","score_opus":0.062432784445181674,"score_gpt":0.3125120524310665,"score_spread":0.2500792679858848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4312735974","genre_codex":"other","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":[0.34224704,0.00010064358,0.19122735,0.03592148,0.0017927423,0.0052188644,0.0006590477,0.003565736,0.4192671],"genre_scores_gemma":[0.9105411,0.000043289765,0.05426542,0.0012816172,0.0013709036,0.0026035102,0.001031661,0.0002517527,0.02861075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968888,0.00022069644,0.0008948333,0.0006637214,0.00082929945,0.00050263613],"domain_scores_gemma":[0.9949142,0.002674305,0.00036922924,0.0012047602,0.00059518474,0.00024235947],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010158158,0.00037456147,0.00043574016,0.00040366073,0.0005126675,0.00020663993,0.00047800806,0.00017777937,0.0024281563],"category_scores_gemma":[0.0066935103,0.00033574717,0.00022421985,0.0010470607,0.00018370367,0.0005944986,0.00010052608,0.0002820014,0.0026436998],"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":[0.00024530516,0.0026366077,0.00033193233,0.000097238495,0.00022116546,0.0000022888812,0.0011058656,0.0000125917,0.0003108904,0.83090883,0.1557761,0.008351211],"study_design_scores_gemma":[0.0020354271,0.00033637378,0.006205039,0.00012344081,0.00022393516,0.00013519422,0.0011731471,0.0062924335,0.0003689442,0.90244484,0.079730526,0.00093066733],"about_ca_topic_score_codex":0.00001758959,"about_ca_topic_score_gemma":0.000026766289,"teacher_disagreement_score":0.56829405,"about_ca_system_score_codex":0.00030544124,"about_ca_system_score_gemma":0.00011172764,"threshold_uncertainty_score":0.99990946},"labels":[],"label_agreement":null},{"id":"W4313148544","doi":"10.5486/pmd.2005.2986","title":"The quadratic functional equation on groups","year":2005,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Functional Equations Stability Results","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 Waterloo","funders":"","keywords":"Mathematics; Quadratic equation; Functional equation; Pure mathematics; Algebra over a field; Mathematical analysis; Partial differential equation; Geometry","score_opus":0.11057450492384993,"score_gpt":0.3104955391664148,"score_spread":0.19992103424256488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313148544","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":[0.12775062,0.00030132598,0.3873483,0.30511943,0.0013953837,0.0053106765,0.00009070984,0.002259141,0.17042443],"genre_scores_gemma":[0.96033883,0.000025123156,0.026905106,0.00097532646,0.00089937996,0.0015650003,0.00017460082,0.00009583723,0.009020787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99710757,0.00019087663,0.000890139,0.00042875577,0.0009907119,0.0003919717],"domain_scores_gemma":[0.9916665,0.0061157965,0.0003784664,0.0011115775,0.0005921046,0.00013556797],"candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0017459883,0.00026822562,0.00024356284,0.00016389127,0.00085547415,0.00030800595,0.00045580475,0.000112425165,0.00071377715],"category_scores_gemma":[0.008461061,0.00018633618,0.00014514163,0.0006147617,0.0001550898,0.00054463424,0.00006942943,0.00023930853,0.0025184266],"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":[0.000047472284,0.00046276854,0.00004746407,0.000039166007,0.000051890802,7.4547096e-8,0.00035660938,0.00010402067,0.00007056226,0.9630662,0.025282644,0.010471096],"study_design_scores_gemma":[0.0006374294,0.0000679088,0.0025632498,0.00003719334,0.00005430516,0.000021293708,0.0002927599,0.038541883,0.00033666939,0.9120614,0.045061484,0.0003244563],"about_ca_topic_score_codex":0.000002893769,"about_ca_topic_score_gemma":0.00005260633,"teacher_disagreement_score":0.8325882,"about_ca_system_score_codex":0.00030940078,"about_ca_system_score_gemma":0.0001339298,"threshold_uncertainty_score":0.9998911},"labels":[],"label_agreement":null},{"id":"W4322626856","doi":"10.1186/s13660-023-02942-0","title":"Special functions and multi-stability of the Jensen type random operator equation in $C^{*}$-algebras via fixed point","year":2023,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada; Iran University of Science and Technology","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.10178381297027125,"score_gpt":0.3187951590037278,"score_spread":0.21701134603345654,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322626856","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":[0.9844288,0.00007682514,0.012680021,0.0016840436,0.00022236421,0.000572862,0.000078257195,0.000015165244,0.0002416348],"genre_scores_gemma":[0.99719596,0.00006674935,0.0019028671,0.000034320867,0.0004963432,0.000050912637,0.000010586215,0.000011806565,0.00023045435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99856675,0.00016614905,0.00079303194,0.00012375583,0.00024104973,0.00010925786],"domain_scores_gemma":[0.99755365,0.0014046287,0.00034480274,0.0002219307,0.00042441956,0.000050563493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011209812,0.00009589133,0.00025471713,0.00013106037,0.00014954222,0.000025928346,0.00009878744,0.000059350077,0.00006163764],"category_scores_gemma":[0.0016010812,0.00006844048,0.00007290943,0.0005622947,0.00014278608,0.00014015712,0.00006335087,0.00016842544,0.0000040083887],"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":[0.0029493186,0.0036748264,0.15488245,0.0022426522,0.00063125056,0.000005030017,0.036493797,0.0024320693,0.042101674,0.7114777,0.015777586,0.027331647],"study_design_scores_gemma":[0.018211992,0.0008112532,0.18224335,0.00050522096,0.00048840506,0.00013958589,0.06950474,0.027473785,0.00499551,0.6804666,0.014168654,0.0009908961],"about_ca_topic_score_codex":0.0000512461,"about_ca_topic_score_gemma":0.00023855113,"teacher_disagreement_score":0.037106164,"about_ca_system_score_codex":0.00005898012,"about_ca_system_score_gemma":0.00011792791,"threshold_uncertainty_score":0.27909216},"labels":[],"label_agreement":null},{"id":"W4366773045","doi":"10.3390/axioms12040405","title":"The Cauchy–Optimal Stability Results for Cauchy–Jensen Additive Mappings in the Fuzzy Banach Space and the Unital Fuzzy Banach Space","year":2023,"lang":"en","type":"article","venue":"Axioms","topic":"Functional Equations Stability Results","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; Banach space; Fuzzy logic; Unital; Stability (learning theory); Cauchy distribution; Pure mathematics; Mathematical analysis; Algebra over a field; Computer science","score_opus":0.0533023149374384,"score_gpt":0.2991517661512518,"score_spread":0.24584945121381338,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366773045","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":[0.8507624,0.0002410315,0.0015111587,0.11784127,0.00058695645,0.005879222,0.0022282633,0.00030133888,0.020648351],"genre_scores_gemma":[0.995608,0.0000571532,0.0006193216,0.00017759381,0.00026607272,0.0006619804,0.00019976152,0.000047936075,0.0023621838],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99620694,0.00085846824,0.0007590357,0.0006777083,0.00078163086,0.00071622065],"domain_scores_gemma":[0.972024,0.025942964,0.00028801506,0.0012345376,0.0004162231,0.00009423682],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0069556637,0.00036626947,0.00041953658,0.00013209268,0.0010142487,0.0002215861,0.0006094962,0.00017528604,0.000013340583],"category_scores_gemma":[0.013280324,0.00020046014,0.00020904976,0.0013083076,0.0010850535,0.00021335544,0.00025340437,0.00056434295,0.000061551335],"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":[0.0041906373,0.000310371,0.00018370217,0.00019848361,0.0002751612,0.000019481173,0.051769845,0.0003135559,0.00012169172,0.8693506,0.07167559,0.0015908878],"study_design_scores_gemma":[0.01691405,0.0008090112,0.030549414,0.00019176133,0.00041204735,0.000066140325,0.17043717,0.03612763,0.00058159354,0.6780351,0.064487465,0.001388656],"about_ca_topic_score_codex":0.0011339309,"about_ca_topic_score_gemma":0.0034433717,"teacher_disagreement_score":0.19131553,"about_ca_system_score_codex":0.00022796475,"about_ca_system_score_gemma":0.00022161238,"threshold_uncertainty_score":0.99503124},"labels":[],"label_agreement":null},{"id":"W4381053987","doi":"10.1007/s40314-023-02362-2","title":"A novel stability study on volterra integral equations with delay (VIE-D) using the fuzzy minimum optimal controller in matrix-valued fuzzy Banach spaces","year":2023,"lang":"en","type":"article","venue":"Computational and Applied Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Mathematics; Volterra integral equation; Function (biology); Integral equation; Banach space; Mathematical analysis; Stability (learning theory); Matrix (chemical analysis); Matrix function; Applied mathematics; Pure mathematics; Symmetric matrix; Computer science","score_opus":0.10088893915419483,"score_gpt":0.3341676598299822,"score_spread":0.23327872067578737,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381053987","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":[0.7815033,0.000009381783,0.21523267,0.00037262548,0.00004761878,0.0018867068,0.00007289057,0.00011925142,0.00075552904],"genre_scores_gemma":[0.89920706,4.971514e-7,0.100295,0.000043151187,0.00005575626,0.0002589546,0.00004159804,0.000040961026,0.000057023397],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974186,0.00008841784,0.00080884487,0.0004947432,0.00084267906,0.0003467461],"domain_scores_gemma":[0.99428314,0.004742835,0.0002901032,0.00035513504,0.00024163684,0.00008712573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014294152,0.00035094615,0.00051437074,0.0002556462,0.0003855237,0.00014787391,0.00022902139,0.00008673887,0.000017989407],"category_scores_gemma":[0.00063678867,0.00023460193,0.00007802195,0.0009044239,0.00023162077,0.00010628401,0.00013359927,0.00032948644,0.00002671454],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005756523,0.0036568935,0.00039462617,0.0002949667,0.00027484956,0.0000059281106,0.017305339,0.34727216,0.00074968976,0.6290441,0.00017095712,0.0002547949],"study_design_scores_gemma":[0.0035157062,0.00024811283,0.0014482978,0.00008243117,0.00012635863,0.000016531983,0.020119762,0.7403183,0.000023523706,0.23376633,0.0000062804115,0.0003283355],"about_ca_topic_score_codex":0.000022098126,"about_ca_topic_score_gemma":0.000092449955,"teacher_disagreement_score":0.3952778,"about_ca_system_score_codex":0.00014880876,"about_ca_system_score_gemma":0.0001682821,"threshold_uncertainty_score":0.9566789},"labels":[],"label_agreement":null},{"id":"W4384038391","doi":"10.3390/axioms12070681","title":"Existence, Uniqueness and the Multi-Stability Results for a W-Hilfer Fractional Differential Equation","year":2023,"lang":"en","type":"article","venue":"Axioms","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Uniqueness; Mathematics; Stability (learning theory); Bounded function; Type (biology); Differential equation; Mathematical analysis; Applied mathematics; Computer science","score_opus":0.2297575379488595,"score_gpt":0.36610768538360566,"score_spread":0.13635014743474616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384038391","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":[0.68543667,0.000013645403,0.3037802,0.00688317,0.0005659403,0.0018512021,0.0004007495,0.00030655874,0.00076185295],"genre_scores_gemma":[0.9950554,0.0000057726,0.0033111705,0.000060986258,0.00014200198,0.00047558264,0.00018684242,0.00001883243,0.0007434566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99842054,0.0001869524,0.00045356224,0.00035854918,0.00036885258,0.00021152754],"domain_scores_gemma":[0.993064,0.0060552876,0.00014766367,0.00039909387,0.00028276828,0.000051190378],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016290752,0.00014230618,0.00020248097,0.00008405775,0.00034207522,0.00006632879,0.00014406789,0.0000965006,0.00003125793],"category_scores_gemma":[0.006721626,0.000098666475,0.00010966011,0.00035149304,0.00028850778,0.00015477459,0.00011191318,0.00012800995,0.000032062417],"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":[0.0026458278,0.00024634585,0.00013458797,0.00014443457,0.00007481806,5.940285e-7,0.002874471,0.00007084157,0.00046659698,0.991448,0.0008048708,0.001088608],"study_design_scores_gemma":[0.008499596,0.00007805717,0.012924475,0.000028229808,0.00007510254,0.0000048344555,0.00092191447,0.2383236,0.0005715435,0.7376425,0.00069575064,0.00023434985],"about_ca_topic_score_codex":0.00010461553,"about_ca_topic_score_gemma":0.00021733617,"teacher_disagreement_score":0.30961868,"about_ca_system_score_codex":0.00008127367,"about_ca_system_score_gemma":0.00008242771,"threshold_uncertainty_score":0.80468994},"labels":[],"label_agreement":null},{"id":"W4385696899","doi":"10.3390/math11163458","title":"On a New Approach for Stability and Controllability Analysis of Functional Equations","year":2023,"lang":"en","type":"article","venue":"Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Controllability; Mathematics; Homomorphism; Stability (learning theory); Functional equation; Applied mathematics; Pure mathematics; Algebra over a field; Mathematical analysis; Computer science; Differential equation","score_opus":0.1852250614894481,"score_gpt":0.33999226007245487,"score_spread":0.15476719858300678,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385696899","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":[0.24480039,0.000006482181,0.7513549,0.00034012567,0.0000521587,0.0010809934,0.00038604814,0.00014443594,0.0018344941],"genre_scores_gemma":[0.8977578,0.0000017825012,0.10067319,0.00002745889,0.000042492138,0.00023426005,0.00028767137,0.000026933667,0.00094838935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982255,0.000070091286,0.00069499423,0.00035850075,0.00045457014,0.00019635465],"domain_scores_gemma":[0.9861935,0.0125190895,0.00023849575,0.0006296201,0.00032661034,0.00009270726],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0018081765,0.00016306243,0.00055087963,0.0002935441,0.00012516291,0.000025545829,0.000107664666,0.000092968854,0.0002560852],"category_scores_gemma":[0.015126939,0.0001430941,0.0002599123,0.0015174587,0.00011891159,0.00006707147,0.000048820828,0.00008528964,0.000013333963],"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":[0.00021665619,0.001185821,0.000525267,0.0008496907,0.0011976466,9.4083504e-8,0.0020919784,0.009031183,0.00058102095,0.98094213,0.003020084,0.00035845046],"study_design_scores_gemma":[0.0007145559,0.0000645512,0.0011491316,0.000007742288,0.0007366612,2.4783262e-7,0.00045576924,0.4634934,0.000106578475,0.5331475,0.000021203417,0.00010265682],"about_ca_topic_score_codex":0.000010755378,"about_ca_topic_score_gemma":0.000035896453,"teacher_disagreement_score":0.65295744,"about_ca_system_score_codex":0.00008498465,"about_ca_system_score_gemma":0.000124603,"threshold_uncertainty_score":0.99316907},"labels":[],"label_agreement":null},{"id":"W4386982909","doi":"10.1007/s00025-023-02009-y","title":"Quasi-Arithmetic Means Ad Libitum","year":2023,"lang":"lv","type":"article","venue":"Results in Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Università degli Studi dell'Insubria; York University","keywords":"Algorithm; Computer science","score_opus":0.06986850222111637,"score_gpt":0.321305906614878,"score_spread":0.2514374043937616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386982909","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":[0.65421104,0.0022413668,0.041077398,0.0466356,0.01228601,0.017433535,0.010540976,0.007331178,0.20824292],"genre_scores_gemma":[0.67654467,0.0022483792,0.21198294,0.00031857227,0.001169652,0.0007333228,0.0012791026,0.001029915,0.104693435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99146366,0.00045657804,0.0035287756,0.0012066003,0.0019338222,0.0014105679],"domain_scores_gemma":[0.9862241,0.009597954,0.0008969801,0.0024915184,0.00046537488,0.00032407517],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0057004998,0.00084545434,0.0013405817,0.0011809227,0.00031142833,0.0002625167,0.0009971191,0.00069436856,0.00022821303],"category_scores_gemma":[0.02688698,0.0008493391,0.0004414602,0.0041614547,0.00038008756,0.00033992168,0.0005299491,0.0011170824,0.008362697],"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":[0.0018063053,0.037209455,0.00040013742,0.029712394,0.0014700596,0.0011982223,0.19806418,0.014547949,0.0011244369,0.55278,0.14800233,0.013684595],"study_design_scores_gemma":[0.005005513,0.00058614905,0.00058334717,0.0025768443,0.00026818438,0.000054979715,0.01141548,0.3832014,0.0002503155,0.5871745,0.0076383976,0.0012449314],"about_ca_topic_score_codex":0.000086017106,"about_ca_topic_score_gemma":0.00050924916,"teacher_disagreement_score":0.36865345,"about_ca_system_score_codex":0.0007030355,"about_ca_system_score_gemma":0.00050922047,"threshold_uncertainty_score":0.9993957},"labels":[],"label_agreement":null},{"id":"W4387260725","doi":"10.23952/jnva.7.2023.5.11","title":"Weak separation functions constructed by Gerstewitz and topical functions with applications in conjugate duality","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Conjugate; Duality (order theory); Mathematics; Separation (statistics); Pure mathematics; Mathematical analysis; Statistics","score_opus":0.027511027177605646,"score_gpt":0.31477506909601316,"score_spread":0.2872640419184075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387260725","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":[0.80379754,0.000066476314,0.18967508,0.005295648,0.00006740172,0.00026385492,0.00047036502,0.00003994887,0.00032368905],"genre_scores_gemma":[0.9839691,0.00006830574,0.013883657,0.00006816316,0.00021572287,0.00003753038,0.000678263,0.000014827438,0.0010644348],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99844146,0.000115880444,0.0006485787,0.00020576695,0.0004636571,0.00012466908],"domain_scores_gemma":[0.9979241,0.0010533081,0.00032537768,0.00013604274,0.00045816676,0.00010301781],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007486076,0.00012323931,0.00033627407,0.00053303863,0.00020186644,0.00007087126,0.00006305886,0.00008811321,0.00010543661],"category_scores_gemma":[0.00034236524,0.00009735385,0.00010205674,0.0018239067,0.00010005461,0.00023942666,0.000027446638,0.00021081774,0.000005559801],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00120447,0.0022658631,0.72775275,0.0002684091,0.008957687,0.000014063784,0.0020619656,0.023169827,0.002131099,0.2176207,0.012595242,0.0019579106],"study_design_scores_gemma":[0.005299423,0.0005635661,0.7054,0.00005099205,0.0053067477,0.00014982474,0.0045441976,0.1998894,0.00005385523,0.063051514,0.015003046,0.0006874365],"about_ca_topic_score_codex":0.00005342628,"about_ca_topic_score_gemma":0.00027398925,"teacher_disagreement_score":0.18017155,"about_ca_system_score_codex":0.00006485704,"about_ca_system_score_gemma":0.00012777356,"threshold_uncertainty_score":0.39699745},"labels":[],"label_agreement":null},{"id":"W4387333643","doi":"10.28924/2291-8639-21-2023-112","title":"A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Uniqueness; Stability (learning theory); Mathematics; Structural equation modeling; Verdict; Functional equation; Point (geometry); Psychology; Applied mathematics; Differential equation; Mathematical analysis; Computer science; Statistics; Machine learning; Law","score_opus":0.10387596938829306,"score_gpt":0.3725859151353258,"score_spread":0.2687099457470327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387333643","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":[0.8792909,0.000051229876,0.11964851,0.000570973,0.000036238656,0.00012257692,0.00005461186,0.0000095866435,0.00021539051],"genre_scores_gemma":[0.9958691,0.0001359692,0.0037728196,0.000007091694,0.00007169837,0.000018782415,0.000071698014,0.0000045175066,0.000048303587],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99804395,0.00019092491,0.0010242567,0.00018393695,0.00047511113,0.000081832484],"domain_scores_gemma":[0.99685985,0.0013894007,0.00075446174,0.00011554269,0.0008370571,0.00004369286],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002342467,0.00008276152,0.00028623288,0.0007528177,0.00004539371,0.000015779498,0.000116889816,0.00006547459,0.00003976099],"category_scores_gemma":[0.001520004,0.00007191611,0.00014913178,0.001008866,0.00015102216,0.00012941333,0.000055748907,0.00016115654,9.121869e-7],"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":[0.004154302,0.0029364505,0.3430328,0.000171615,0.003688695,0.0000059006647,0.0030082515,0.015128944,0.0678058,0.5145391,0.0003246118,0.04520349],"study_design_scores_gemma":[0.002705095,0.00028683155,0.51239586,0.00006632861,0.0005987685,0.0000146737675,0.0017640158,0.049416758,0.0018660068,0.43041405,0.00028192287,0.00018964974],"about_ca_topic_score_codex":0.000028811957,"about_ca_topic_score_gemma":0.000072690564,"teacher_disagreement_score":0.16936307,"about_ca_system_score_codex":0.000057501242,"about_ca_system_score_gemma":0.00004363322,"threshold_uncertainty_score":0.2932654},"labels":[],"label_agreement":null},{"id":"W4387880388","doi":"10.28924/2291-8639-21-2023-117","title":"Generalized Hyers-Ulam Stability of Additive Functional Inequality in Modular Spaces and β-Homogeneous Banach Spaces","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Banach space; Homogeneous; Pure mathematics; Stability (learning theory); Inequality; Modular design; Functional analysis; Lp space; Interpolation space; Mathematical analysis; Combinatorics; Computer science","score_opus":0.051320699980975146,"score_gpt":0.3290032443272048,"score_spread":0.27768254434622963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387880388","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":[0.97450346,0.00012812934,0.023257362,0.0014713063,0.00005433981,0.00017321871,0.00027864092,0.000014084605,0.00011948053],"genre_scores_gemma":[0.99620384,0.0002683062,0.0031746086,0.000023192399,0.00012512677,0.00003775556,0.00010246688,0.000008463442,0.000056254874],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99793684,0.00014509555,0.00088935567,0.00025051326,0.00065788755,0.000120279925],"domain_scores_gemma":[0.99703693,0.0010465804,0.00061328034,0.00020211162,0.0010173699,0.00008373901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012425146,0.00013238685,0.00042082425,0.0008039888,0.00007049333,0.00005677564,0.00018412991,0.00006676553,0.00014365876],"category_scores_gemma":[0.0006748201,0.00011800408,0.00020899935,0.0011319875,0.00016725375,0.00018130383,0.00008743454,0.00014608447,0.0000022579077],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013418534,0.0029914556,0.5931662,0.00026132993,0.011796576,0.000039560382,0.004436602,0.027946636,0.02607244,0.30733392,0.0013571809,0.023256248],"study_design_scores_gemma":[0.0029000696,0.00019177393,0.6926617,0.00007636446,0.0014695084,0.00005915089,0.0037559243,0.04090919,0.004537666,0.2500849,0.0028685094,0.00048524293],"about_ca_topic_score_codex":0.00018094681,"about_ca_topic_score_gemma":0.0005222397,"teacher_disagreement_score":0.09949549,"about_ca_system_score_codex":0.00009620328,"about_ca_system_score_gemma":0.000091860704,"threshold_uncertainty_score":0.48120666},"labels":[],"label_agreement":null},{"id":"W4388321193","doi":"10.1093/oso/9780198501657.003.0010","title":"Saks spaces and bounded domains","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","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":"Western University","funders":"","keywords":"Bounded function; Consistency (knowledge bases); Mathematics; Section (typography); Pure mathematics; Discrete mathematics; Computer science; Mathematical analysis","score_opus":0.050141181080291065,"score_gpt":0.28122217751151773,"score_spread":0.23108099643122668,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388321193","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007285024,0.00012345659,0.00026269566,0.0004791974,0.000081437574,0.0003144696,0.00006838016,0.00013771163,0.99780416],"genre_scores_gemma":[0.0009177479,0.00012209897,0.012383651,0.00008981909,0.00013920081,0.000008876436,0.000041405958,0.000053120777,0.9862441],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988957,0.000010785999,0.00031244545,0.00032857797,0.00031631166,0.00013615705],"domain_scores_gemma":[0.99868685,0.000662203,0.000100835576,0.00040652027,0.00006896281,0.00007463706],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015111048,0.00024827282,0.0003061934,0.00010151136,0.00010315888,0.000072761555,0.000084933985,0.00027744364,0.0072460272],"category_scores_gemma":[0.00013837112,0.00021542657,0.00009179266,0.000015986523,0.00016492751,0.000060143175,0.00004569227,0.00021635606,0.00038804306],"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":[0.000027563803,0.000017207969,0.0000018541781,0.000053953907,0.000056834797,0.0000028485758,0.00007583116,2.7921135e-7,0.000001908048,0.9925788,0.0058996035,0.0012833336],"study_design_scores_gemma":[0.00019598466,0.00003235249,0.000007327828,0.000037695056,0.00004803297,0.000011630202,0.000009234715,0.000016138605,0.0000044966478,0.7206541,0.27881366,0.00016938275],"about_ca_topic_score_codex":0.000024566492,"about_ca_topic_score_gemma":0.00043311634,"teacher_disagreement_score":0.27291405,"about_ca_system_score_codex":0.000080899976,"about_ca_system_score_gemma":0.000080547135,"threshold_uncertainty_score":0.99366146},"labels":[],"label_agreement":null},{"id":"W4388661662","doi":"10.4171/jncg/524","title":"A short proof of an index theorem, II","year":2023,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Index (typography); Analytic proof; Discrete mathematics; Pure mathematics; Calculus (dental); Mathematical economics; Mathematical proof; Geometry","score_opus":0.06747244095780633,"score_gpt":0.3700427949659354,"score_spread":0.30257035400812904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388661662","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":[0.9889984,0.000032714313,0.007887863,0.00035929633,0.00019247428,0.00018149067,0.00004577857,0.000027761747,0.0022742022],"genre_scores_gemma":[0.99203,0.0000043612845,0.0075698798,0.000022440585,0.00012476723,0.000005593669,0.0000091453785,0.000025059902,0.00020871525],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976385,0.00027338177,0.0009501293,0.00012691597,0.00081018533,0.00020084876],"domain_scores_gemma":[0.9957983,0.0021352898,0.00060176867,0.00034137626,0.0010078555,0.000115410454],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028499244,0.00014924307,0.00046759317,0.0008498519,0.0001289844,0.000015850263,0.00037880611,0.00009217307,0.00011522531],"category_scores_gemma":[0.004130228,0.00011794846,0.0002068782,0.0016975001,0.00017984974,0.00039592528,0.00014723634,0.00043088122,0.00000729344],"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":[0.012445655,0.027033528,0.12578589,0.0036181926,0.007951974,0.0009596028,0.11601839,0.046215206,0.030686231,0.18842861,0.035061635,0.4057951],"study_design_scores_gemma":[0.002327875,0.0037016093,0.07919547,0.00031480685,0.00018324108,0.00026134343,0.009697258,0.006133939,0.013707379,0.883497,0.0005886808,0.00039143075],"about_ca_topic_score_codex":0.0000046901314,"about_ca_topic_score_gemma":0.000009699024,"teacher_disagreement_score":0.69506836,"about_ca_system_score_codex":0.00012557549,"about_ca_system_score_gemma":0.00018873534,"threshold_uncertainty_score":0.49445668},"labels":[],"label_agreement":null},{"id":"W4389108957","doi":"10.1007/s10473-024-0117-z","title":"Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive ψ-functional inequality in Banach algebras","year":2023,"lang":"en","type":"article","venue":"Acta Mathematica Scientia","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Homomorphism; Mathematics; Pure mathematics; Class (philosophy); Algebra over a field; Computer science","score_opus":0.07291483326332378,"score_gpt":0.29635622188138805,"score_spread":0.22344138861806428,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389108957","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":[0.9827579,0.0000064854767,0.008563603,0.001904708,0.00038179412,0.0016215733,0.0005429788,0.00044298038,0.0037779582],"genre_scores_gemma":[0.9908949,0.000002727786,0.0056730965,0.00010539843,0.00028180506,0.00040921397,0.0005473633,0.00008113416,0.0020043247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952147,0.00035711902,0.0012452574,0.0010237677,0.0012925316,0.00086660055],"domain_scores_gemma":[0.9940983,0.003818144,0.00054634473,0.00067765324,0.00056710147,0.0002924243],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003921047,0.0004625609,0.0007174108,0.001004296,0.0010055974,0.0003296322,0.0003197404,0.00018733245,0.00077247643],"category_scores_gemma":[0.017828494,0.00041738365,0.00016221683,0.00467414,0.00035245618,0.0006508424,0.00030513416,0.00046788336,0.00022329157],"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":[0.0024654465,0.013721716,0.02629486,0.0024719643,0.002856134,0.00018340627,0.09763624,0.002657586,0.021981059,0.6955947,0.12645577,0.0076810988],"study_design_scores_gemma":[0.015154945,0.0010946402,0.2361347,0.002966334,0.0011679733,0.00024486054,0.025770426,0.114913486,0.0019209954,0.59493345,0.001880713,0.0038174952],"about_ca_topic_score_codex":0.000023337572,"about_ca_topic_score_gemma":0.0003148357,"teacher_disagreement_score":0.20983984,"about_ca_system_score_codex":0.00044591646,"about_ca_system_score_gemma":0.0003777461,"threshold_uncertainty_score":0.9998278},"labels":[],"label_agreement":null},{"id":"W4389353428","doi":"10.1130/abs/2023am-391787","title":"NOT ALL S-TYPE GRANITES ARE CREATED EQUAL","year":2023,"lang":"en","type":"article","venue":"Abstracts with programs - Geological Society of America","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Geology; Type (biology); Computer science; Paleontology","score_opus":0.10162992403963261,"score_gpt":0.3201806080133485,"score_spread":0.2185506839737159,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389353428","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":[0.9931088,0.000027187602,0.0006553512,0.0034306769,0.000062926316,0.0007361322,0.000026533353,0.0008154139,0.0011369515],"genre_scores_gemma":[0.95053685,0.000035359782,0.048261374,0.00042500696,0.00005700802,0.00007375401,0.00020948918,0.000028511626,0.00037265042],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9977126,0.00007918252,0.00056353596,0.00045356288,0.00064610236,0.00054501183],"domain_scores_gemma":[0.99695945,0.0015640893,0.00048176237,0.00037863126,0.0004648475,0.0001511948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048027947,0.0002644791,0.0004760527,0.00003399198,0.00015822698,0.000035507728,0.00025827417,0.0002209591,0.00019758986],"category_scores_gemma":[0.0011283092,0.00018614413,0.00023734847,0.0010975471,0.00088252645,0.0001123866,0.000109396075,0.0003650094,0.00020011408],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0096511515,0.036477026,0.3545419,0.006298966,0.010853701,0.0005027287,0.031966586,0.030594505,0.020357685,0.017889014,0.21137358,0.26949316],"study_design_scores_gemma":[0.008408112,0.018272895,0.682589,0.0007366055,0.0010348889,0.000101190686,0.02219056,0.013226901,0.0040008845,0.14764418,0.09819338,0.0036014374],"about_ca_topic_score_codex":0.00026247842,"about_ca_topic_score_gemma":0.000014101885,"teacher_disagreement_score":0.32804707,"about_ca_system_score_codex":0.0000473153,"about_ca_system_score_gemma":0.00006563099,"threshold_uncertainty_score":0.75907373},"labels":[],"label_agreement":null},{"id":"W4389986430","doi":"10.1137/1.9781611977806.ch6","title":"Chapter 6: Even More on Convex Functions","year":2023,"lang":"en","type":"book-chapter","venue":"Society for Industrial and Applied Mathematics eBooks","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Regular polygon; Mathematics; Geometry","score_opus":0.1872329039357838,"score_gpt":0.2989568032835048,"score_spread":0.11172389934772103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389986430","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00048797636,0.000013224917,0.0037813988,0.00084954075,0.0009898586,0.0056324275,0.0024357056,0.0007354223,0.98507446],"genre_scores_gemma":[0.0006867456,0.000013466504,0.013169982,0.00023594982,0.0015791397,0.00073983223,0.00033854655,0.00037554145,0.9828608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974083,0.0000042438664,0.0008948379,0.00067091157,0.00063645776,0.00038527916],"domain_scores_gemma":[0.9962618,0.0022177526,0.00053914246,0.00063679944,0.00017733933,0.00016719992],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00066310604,0.00064432586,0.00088215724,0.000101979895,0.00048250816,0.00008441345,0.00021295167,0.0011593618,0.00013087661],"category_scores_gemma":[0.0002546925,0.00058524223,0.00083236635,0.00003193045,0.00036531917,0.00002536774,0.0001549449,0.0008600584,0.0001586938],"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":[0.0000805249,0.00005283641,6.209323e-8,0.00040448701,0.00051922665,4.571919e-7,0.00097687,0.000005921356,0.000041757878,0.97416335,0.02027366,0.0034808486],"study_design_scores_gemma":[0.0017123037,0.0001600897,1.2777558e-7,0.0003222335,0.0005429605,0.0000039806487,0.0006911416,0.00017290347,0.00008643798,0.92330414,0.072428524,0.0005751537],"about_ca_topic_score_codex":0.0000017496711,"about_ca_topic_score_gemma":0.0000037211555,"teacher_disagreement_score":0.05215487,"about_ca_system_score_codex":0.0001342842,"about_ca_system_score_gemma":0.00014373878,"threshold_uncertainty_score":0.9996599},"labels":[],"label_agreement":null},{"id":"W4390018133","doi":"10.1137/1.9781611977806.ch11","title":"Chapter 11: Directional and Classical Derivatives","year":2023,"lang":"en","type":"book-chapter","venue":"Society for Industrial and Applied Mathematics eBooks","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Directional derivative; Derivative (finance); Limit (mathematics); Mathematics; Material derivative; Physics; Mathematical analysis; Economics; Financial economics","score_opus":0.17266935027305355,"score_gpt":0.2929035452652844,"score_spread":0.12023419499223084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390018133","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0037552228,0.000070199,0.010500884,0.001630162,0.0009929604,0.006896139,0.0019620345,0.0008298188,0.97336257],"genre_scores_gemma":[0.0019255686,0.000058562076,0.08086602,0.00015690929,0.0023676506,0.0007662121,0.00022432412,0.00043973408,0.913195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793965,0.0000049042083,0.0007149903,0.0005825961,0.0004617188,0.00029615517],"domain_scores_gemma":[0.9964781,0.0025544495,0.00039882373,0.00029128083,0.00012918652,0.00014817716],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005756566,0.0005071888,0.00073395297,0.00006984896,0.0004146901,0.000092827344,0.00012244044,0.0008893496,0.000050772604],"category_scores_gemma":[0.00027641634,0.00045725444,0.0004360013,0.000023173,0.00056065066,0.000032726675,0.00019900034,0.0005535189,0.000013253676],"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":[0.000042285134,0.00003246516,3.8633218e-7,0.00038506422,0.00033082,2.8678915e-7,0.00087728666,4.798957e-7,0.00018380747,0.9900876,0.0052897534,0.002769766],"study_design_scores_gemma":[0.0013125608,0.0000715832,6.6998183e-7,0.00020574969,0.00031099308,0.000007364211,0.00035643348,0.00017982005,0.00021572849,0.9495478,0.047334086,0.0004571921],"about_ca_topic_score_codex":0.0000013887126,"about_ca_topic_score_gemma":0.0000112346925,"teacher_disagreement_score":0.07036513,"about_ca_system_score_codex":0.00007485254,"about_ca_system_score_gemma":0.00010315357,"threshold_uncertainty_score":0.9997879},"labels":[],"label_agreement":null},{"id":"W4390544179","doi":"10.28924/2291-8639-22-2024-3","title":"Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Functional equation; Stability (learning theory); Space (punctuation); Functional analysis; Point (geometry); Vector space; Pure mathematics; Applied mathematics; Mathematical analysis; Partial differential equation; Computer science; Geometry","score_opus":0.040791746181211855,"score_gpt":0.3218246695148533,"score_spread":0.28103292333364144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390544179","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":[0.9132402,0.00095227634,0.08299768,0.0015702662,0.00011614315,0.00019484096,0.00023510613,0.000014726233,0.00067878887],"genre_scores_gemma":[0.9969851,0.00030438742,0.0023711375,0.000012873702,0.00012708895,0.000039372455,0.000036167334,0.0000064489514,0.00011743714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998498,0.00006355569,0.0007302134,0.00017027317,0.00046226126,0.00007568424],"domain_scores_gemma":[0.9969887,0.0019256592,0.00025358648,0.00010114414,0.00068681367,0.000044087865],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006825559,0.00009808414,0.00026680806,0.00088732195,0.00003728403,0.00008461254,0.000103766906,0.00004654221,0.00014714168],"category_scores_gemma":[0.00049090537,0.00008355973,0.00014485001,0.0006067028,0.00019304322,0.00034211122,0.00003748045,0.00013251152,0.0000011035121],"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":[0.00032581048,0.0006620913,0.052204635,0.0002637667,0.003859041,0.0000061897354,0.0049555465,0.0027755178,0.0014553263,0.9013142,0.0002829362,0.031894926],"study_design_scores_gemma":[0.0012605699,0.00021636183,0.15255332,0.0002779453,0.0014217892,0.000070184775,0.010513678,0.02916488,0.0011986034,0.7954674,0.0075006145,0.00035469612],"about_ca_topic_score_codex":0.00007032965,"about_ca_topic_score_gemma":0.0002566144,"teacher_disagreement_score":0.10584686,"about_ca_system_score_codex":0.000098260905,"about_ca_system_score_gemma":0.00012726344,"threshold_uncertainty_score":0.3407467},"labels":[],"label_agreement":null},{"id":"W4390786651","doi":"","title":"Extended Carlite Integral: Derivation and Evaluation","year":2023,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Functional Equations Stability Results","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":"York University","funders":"","keywords":"Mathematics; Calculus (dental); Computer science; Medicine","score_opus":0.07465905582846814,"score_gpt":0.3141872641884668,"score_spread":0.23952820835999866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390786651","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":[0.65021557,0.00081881176,0.289346,0.027580762,0.0008564831,0.0028893137,0.00027094092,0.001285721,0.02673638],"genre_scores_gemma":[0.8811977,0.0002603469,0.107726395,0.00005465529,0.00005541681,0.00051348633,0.0017468078,0.00011193369,0.008333268],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99161446,0.00545269,0.00077625277,0.0009244418,0.000942094,0.0002900713],"domain_scores_gemma":[0.98701704,0.0053084143,0.000598808,0.0019609516,0.0049747475,0.00014003768],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.013267423,0.00035292184,0.00038985978,0.0003143244,0.00032679178,0.000360184,0.000551061,0.0003585957,0.00012817784],"category_scores_gemma":[0.022523591,0.00037843618,0.00016646188,0.00046224057,0.00022497826,0.00018660275,0.001000399,0.00065198855,0.000048281243],"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":[0.00006863823,0.0010917962,0.0021294488,0.0012325237,0.00034775896,0.0000035014639,0.024622602,0.00029916334,0.002446434,0.807736,0.005857514,0.15416464],"study_design_scores_gemma":[0.0010313921,7.260554e-7,0.019946052,0.0019424453,0.00022015102,0.000008628029,0.00040270438,0.1465437,0.005548964,0.82210386,0.0016623511,0.0005890177],"about_ca_topic_score_codex":0.0009455328,"about_ca_topic_score_gemma":0.00261117,"teacher_disagreement_score":0.23098211,"about_ca_system_score_codex":0.0003431937,"about_ca_system_score_gemma":0.0004537075,"threshold_uncertainty_score":0.9998668},"labels":[],"label_agreement":null},{"id":"W4391104391","doi":"10.28924/2291-8639-22-2024-18","title":"On the Stability of Quadratic-Quartic (Q2Q4) Functional Equation over Non-Archimedean Normed Space","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quartic function; Quadratic equation; Stability (learning theory); Pure mathematics; Space (punctuation); Normed vector space; Functional equation; Mathematical analysis; Geometry; Partial differential equation","score_opus":0.04536173144670304,"score_gpt":0.32710681162109734,"score_spread":0.2817450801743943,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391104391","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":[0.55131817,0.0000692355,0.441952,0.00537992,0.00015894475,0.00024500393,0.000079782614,0.000014662951,0.0007822623],"genre_scores_gemma":[0.9979492,0.000028671186,0.0015357924,0.00006332399,0.00023661598,0.000044827404,0.000028781826,0.000010471822,0.00010231547],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99780333,0.00010480832,0.0008425527,0.0002123557,0.0009332708,0.000103709164],"domain_scores_gemma":[0.9945565,0.003819788,0.00041786043,0.00028442702,0.0008512662,0.0000701859],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012527897,0.00013177648,0.0002602157,0.0004966421,0.00010698289,0.00011544784,0.0002629998,0.000048724454,0.0006071837],"category_scores_gemma":[0.0008553972,0.000088761735,0.00035599337,0.00084616005,0.00015488434,0.00019703554,0.000043326272,0.00023428802,0.000014104049],"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":[0.00020474261,0.0007244129,0.003673194,0.00007048382,0.0038890184,0.0000029239554,0.00092761626,0.002335979,0.0062464415,0.97591096,0.0016613669,0.0043528345],"study_design_scores_gemma":[0.0008958346,0.00030733208,0.048830498,0.00018102517,0.0025920374,0.00003707805,0.001090347,0.14509292,0.0052794437,0.79264194,0.002718401,0.00033315574],"about_ca_topic_score_codex":0.000035255543,"about_ca_topic_score_gemma":0.00007727899,"teacher_disagreement_score":0.446631,"about_ca_system_score_codex":0.00013605312,"about_ca_system_score_gemma":0.00017305913,"threshold_uncertainty_score":0.6648236},"labels":[],"label_agreement":null},{"id":"W4392191280","doi":"10.18280/mmep.110220","title":"Generalized Quadratic Functional Equation and Its Stability over Non-Archimedean Normed Space","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quadratic equation; Stability (learning theory); Functional equation; Normed vector space; Pure mathematics; Space (punctuation); Mathematical analysis; Partial differential equation; Computer science; Geometry","score_opus":0.09026572966026603,"score_gpt":0.26542320544736653,"score_spread":0.1751574757871005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392191280","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":[0.381624,0.00028117496,0.61696345,0.0002775427,0.00010391765,0.000345916,0.000009896616,0.00022078484,0.00017330327],"genre_scores_gemma":[0.94873166,0.000036346784,0.050665494,0.00000855803,0.00009837024,0.00012132637,0.000017288288,0.000052016712,0.00026894288],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983438,0.000035069643,0.0005059922,0.00043830415,0.00038106172,0.00029577053],"domain_scores_gemma":[0.99805856,0.0014512558,0.000040992814,0.00021728312,0.00007558969,0.000156344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000877661,0.00026059218,0.00031295035,0.00013628617,0.00011422233,0.0001685749,0.000059887745,0.00011725436,0.000101382764],"category_scores_gemma":[0.00050853915,0.00022499808,0.00007182303,0.00021282928,0.000045680743,0.00023217358,0.000056405977,0.00027741888,0.000026639365],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029747282,0.0001447759,0.000013162492,0.006569078,0.000110692104,0.0000026766825,0.0024609333,0.3297624,0.0036133323,0.65701777,0.00006976814,0.0002056247],"study_design_scores_gemma":[0.00022274724,0.000033108714,0.000015501357,0.00028706758,0.000046784786,0.000014658775,0.00001865498,0.7277922,0.00021840994,0.2711202,0.00005309775,0.00017756395],"about_ca_topic_score_codex":0.000009532929,"about_ca_topic_score_gemma":0.0000023808805,"teacher_disagreement_score":0.5671077,"about_ca_system_score_codex":0.00008108892,"about_ca_system_score_gemma":0.000045279572,"threshold_uncertainty_score":0.9175156},"labels":[],"label_agreement":null},{"id":"W4392793504","doi":"10.1007/s00209-024-03470-3","title":"D-finiteness, rationality, and height III: multivariate Pólya–Carlson dichotomy","year":2024,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary; University of Waterloo","funders":"","keywords":"Mathematics; Rationality; Multivariate statistics; Multivariate analysis; Mathematical economics; Econometrics; Statistics; Combinatorics; Epistemology; Philosophy","score_opus":0.04264227406003331,"score_gpt":0.31426827411619046,"score_spread":0.27162600005615717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392793504","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":[0.1259385,0.1636222,0.42664555,0.034634188,0.02550036,0.016250677,0.006858005,0.0060677305,0.19448279],"genre_scores_gemma":[0.92394227,0.00119463,0.050029337,0.00037827127,0.002777564,0.0007053769,0.00072512386,0.00046578047,0.019781642],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99363905,0.0005137112,0.0019196628,0.0015719628,0.0014822097,0.00087337894],"domain_scores_gemma":[0.9925831,0.00479482,0.00039593762,0.0013144288,0.0004895009,0.0004222098],"candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0026500816,0.0010085694,0.0011532018,0.00048213132,0.00063209917,0.0012973567,0.0005151362,0.00067459006,0.0027094956],"category_scores_gemma":[0.0025748482,0.00090216263,0.00042334912,0.0010416588,0.00047476974,0.0010644466,0.0005748495,0.0010953702,0.004137591],"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":[0.0001267865,0.0007586059,0.00014197647,0.0055720713,0.0011960947,0.000094058756,0.006154858,0.000030243342,0.0012789782,0.96434975,0.01782214,0.0024744663],"study_design_scores_gemma":[0.0039277407,0.00033289954,0.0014145501,0.005285811,0.002523809,0.00024330513,0.00081340136,0.10586409,0.0021219398,0.2917326,0.5832091,0.0025307536],"about_ca_topic_score_codex":0.00019930254,"about_ca_topic_score_gemma":0.00005589767,"teacher_disagreement_score":0.7980038,"about_ca_system_score_codex":0.00006380263,"about_ca_system_score_gemma":0.00061229616,"threshold_uncertainty_score":0.9997394},"labels":[],"label_agreement":null},{"id":"W4395704619","doi":"10.18280/mmep.110419","title":"Generalized Hyers-Ulam-Rassias Stability of an Euler-Lagrange Type Cubic Functional Equation in Non-Archimedean Quasi-Banach Spaces","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Banach space; Type (biology); Pure mathematics; Mathematical analysis; Stability (learning theory); Functional equation; Euler's formula; Differential equation; Computer science","score_opus":0.09947703609087144,"score_gpt":0.27857684028945007,"score_spread":0.17909980419857863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4395704619","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":[0.5250998,0.00015089083,0.47399965,0.00009611109,0.000118104566,0.000271826,0.000008684319,0.00012212845,0.00013279176],"genre_scores_gemma":[0.9278823,0.00001879538,0.071833774,0.0000027776039,0.00006505375,0.000062751365,0.000036172238,0.000046720237,0.00005165041],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998073,0.000065363456,0.00069912564,0.00041925602,0.00042701807,0.00031626702],"domain_scores_gemma":[0.99814606,0.0012362761,0.000063793326,0.00032186165,0.00010819626,0.00012380863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013900694,0.00024698695,0.00040344862,0.00024799615,0.000054337295,0.000085945714,0.000104769984,0.00013833557,0.000073579795],"category_scores_gemma":[0.0005115215,0.00022003015,0.000084133455,0.00044957246,0.000067908266,0.00024793984,0.000038101734,0.00029457553,0.000013362686],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081508086,0.0006304443,0.000060822826,0.005752035,0.00008634558,0.0000029707999,0.0041245534,0.78833807,0.005377383,0.19491468,0.000019811412,0.0006113534],"study_design_scores_gemma":[0.00027933434,0.00011270004,0.00004267574,0.00038095788,0.00003773031,0.000006000638,0.00007298683,0.8161438,0.00038761093,0.18233483,0.000021284366,0.00018011706],"about_ca_topic_score_codex":0.00007366293,"about_ca_topic_score_gemma":0.000020146219,"teacher_disagreement_score":0.40278247,"about_ca_system_score_codex":0.00010874074,"about_ca_system_score_gemma":0.000062384686,"threshold_uncertainty_score":0.897257},"labels":[],"label_agreement":null},{"id":"W4396213963","doi":"10.1007/978-3-031-55564-0_11","title":"Super Multi Stability of Additive Functional Inequalities in Banach Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Pure mathematics; Stability (learning theory); Mathematics; Computer science","score_opus":0.1926170000986949,"score_gpt":0.3597870520227001,"score_spread":0.16717005192400522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396213963","genre_codex":"other","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":[0.12855883,0.33693394,0.021604354,0.0017054606,0.024265794,0.02387793,0.026015911,0.0007216754,0.43631613],"genre_scores_gemma":[0.9539751,0.0008448691,0.00032884566,0.000041264433,0.0002379713,0.00038627806,0.00005987232,0.00007251156,0.044053327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99606204,0.00018012653,0.0019706625,0.00070890225,0.0008354942,0.00024275525],"domain_scores_gemma":[0.98598796,0.012387944,0.00032262146,0.00047884046,0.0007645502,0.00005807542],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0021815314,0.00045493865,0.0015502694,0.0005133384,0.00007051617,0.000030894622,0.0001335934,0.00034036482,0.00023353637],"category_scores_gemma":[0.004939101,0.00037010116,0.00019516193,0.00011942938,0.0004743448,0.00012424763,0.00018511027,0.0004955081,0.000040838648],"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":[0.0011282904,0.00022865612,0.0008988481,0.0026332075,0.0009175554,0.000039001785,0.005246539,0.00004933088,0.000012519213,0.9832744,0.0038218892,0.0017497732],"study_design_scores_gemma":[0.0070801014,0.00031358795,0.0011481047,0.0065056398,0.00032065692,0.000026087275,0.026998099,0.0019699072,0.0000065770782,0.93704116,0.0176937,0.0008963637],"about_ca_topic_score_codex":0.00010402392,"about_ca_topic_score_gemma":0.001453476,"teacher_disagreement_score":0.8254162,"about_ca_system_score_codex":0.00050297665,"about_ca_system_score_gemma":0.0001500433,"threshold_uncertainty_score":0.99987507},"labels":[],"label_agreement":null},{"id":"W4396213966","doi":"10.1007/978-3-031-55564-0_16","title":"Multi Stability of Pseudo Stochastic Tri–Additive Fuzzy Operator Inequalities in MVFC–$$\\diamond $$–Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Fuzzy logic; Stability (learning theory); Inequality; Mathematics; Operator (biology); Diamond; Pure mathematics; Algebra over a field; Applied mathematics; Computer science; Mathematical analysis; Materials science; Artificial intelligence; Chemistry; Machine learning; Metallurgy","score_opus":0.1271718640499519,"score_gpt":0.35688573304822735,"score_spread":0.22971386899827545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396213966","genre_codex":"review","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":[0.29883367,0.4063138,0.02809471,0.0014258923,0.023439072,0.043354396,0.03549918,0.00091854716,0.16212071],"genre_scores_gemma":[0.97918767,0.0006995815,0.00055240066,0.0000340403,0.0002115231,0.00054972025,0.000029687488,0.00009567883,0.018639673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949883,0.0002662791,0.0026060785,0.0009092461,0.00089215144,0.00033794375],"domain_scores_gemma":[0.98461837,0.0132077215,0.0005264879,0.00068553904,0.00086685293,0.00009502276],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026960748,0.0006334691,0.0022948412,0.0006336578,0.0000952016,0.00005334638,0.00022222244,0.00042208747,0.00006927627],"category_scores_gemma":[0.008137003,0.0005154124,0.00022178271,0.0001767616,0.0005841574,0.00014788489,0.00026687083,0.0006207078,0.00004347271],"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":[0.0023229413,0.0004875615,0.00026053304,0.005682688,0.0015768707,0.00010537036,0.015823644,0.0002309217,0.000057644014,0.96760625,0.0020206128,0.00382499],"study_design_scores_gemma":[0.016527746,0.0009243042,0.00044665748,0.019065551,0.0007647911,0.000046666548,0.04907072,0.006999544,0.000012612031,0.8998236,0.004344788,0.001972993],"about_ca_topic_score_codex":0.000102150014,"about_ca_topic_score_gemma":0.0010461143,"teacher_disagreement_score":0.680354,"about_ca_system_score_codex":0.0006032271,"about_ca_system_score_gemma":0.00021743173,"threshold_uncertainty_score":0.99972975},"labels":[],"label_agreement":null},{"id":"W4396213967","doi":"10.1007/978-3-031-55564-0_10","title":"Multi Stability of the Jensen Type Random Operator Equations in $$C^{*}$$–Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Type (biology); Stability (learning theory); Mathematics; Operator (biology); Pure mathematics; Algebra over a field; Applied mathematics; Computer science; Geology; Chemistry; Machine learning","score_opus":0.15140266761558593,"score_gpt":0.367859835717379,"score_spread":0.21645716810179308,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396213967","genre_codex":"review","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":[0.17489767,0.45215452,0.02104133,0.0053732833,0.04360042,0.055783767,0.005913948,0.00066181016,0.24057327],"genre_scores_gemma":[0.9751457,0.0004738121,0.00028327,0.000036299523,0.00010514048,0.00017507517,0.000005471819,0.000048184243,0.023727067],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969058,0.00021054751,0.0015828972,0.0005116842,0.00060727075,0.00018181944],"domain_scores_gemma":[0.98859626,0.009689753,0.00031067117,0.00070506067,0.00065677887,0.000041488667],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0022066212,0.0003338291,0.001179571,0.00022957037,0.000105017745,0.000036948422,0.0002219154,0.00025117162,0.000048555514],"category_scores_gemma":[0.009941558,0.0002139213,0.00016923329,0.00018282025,0.00035213088,0.00006357324,0.00022238829,0.00042359612,0.000034476197],"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":[0.0024766687,0.00038651057,0.0015849455,0.0033783668,0.0013501267,0.000031866635,0.00789187,0.0004260943,0.0001918048,0.97757703,0.002631853,0.0020728633],"study_design_scores_gemma":[0.024748089,0.0003473692,0.0007649067,0.012168562,0.0008399792,0.000026467102,0.009268826,0.01875571,0.000018343959,0.90977836,0.022018546,0.0012648205],"about_ca_topic_score_codex":0.000056577268,"about_ca_topic_score_gemma":0.0014888304,"teacher_disagreement_score":0.800248,"about_ca_system_score_codex":0.00032101953,"about_ca_system_score_gemma":0.00017877709,"threshold_uncertainty_score":0.9983981},"labels":[],"label_agreement":null},{"id":"W4396213990","doi":"10.1007/978-3-031-55564-0_12","title":"Multi Stability of Tri–Additive Functional Inequalities in Unital $$C^{*} $$–Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Unital; Stability (learning theory); Inequality; Mathematics; Pure mathematics; Algebra over a field; Computer science; Mathematical analysis","score_opus":0.1999405151626889,"score_gpt":0.36216059948395,"score_spread":0.16222008432126112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396213990","genre_codex":"other","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":[0.20970446,0.28342327,0.020625213,0.0015789295,0.027500652,0.026030224,0.027993612,0.000853082,0.40229055],"genre_scores_gemma":[0.95769715,0.00071442896,0.00032816568,0.000027587748,0.00022641502,0.0003088904,0.000055523484,0.00006854685,0.0405733],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958944,0.00019945034,0.002104922,0.0006982308,0.00085273053,0.00025032187],"domain_scores_gemma":[0.98556775,0.012645187,0.00044772722,0.00047037253,0.0008058892,0.00006307786],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0023375126,0.00048162226,0.0016167957,0.00061860227,0.000076583885,0.00003604817,0.00014433004,0.0003573011,0.00012679766],"category_scores_gemma":[0.005325499,0.00039738492,0.00020358061,0.00015361776,0.00054193864,0.00013502511,0.00020045697,0.000551824,0.00003557892],"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":[0.0017873349,0.00029288558,0.00059808744,0.0028469255,0.0009935009,0.00005792858,0.0048639346,0.00005978735,0.000020155065,0.984316,0.002080663,0.002082784],"study_design_scores_gemma":[0.008533088,0.00040186534,0.0009583036,0.0061411574,0.00030917773,0.000030951105,0.025178364,0.00180885,0.000006552476,0.94515306,0.010614988,0.0008636696],"about_ca_topic_score_codex":0.00007747496,"about_ca_topic_score_gemma":0.0009780166,"teacher_disagreement_score":0.7479927,"about_ca_system_score_codex":0.0005414258,"about_ca_system_score_gemma":0.00018097184,"threshold_uncertainty_score":0.9998478},"labels":[],"label_agreement":null},{"id":"W4396213995","doi":"10.1007/978-3-031-55564-0_9","title":"Preliminaries","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Philosophy","score_opus":0.13333513118254472,"score_gpt":0.37847037067059336,"score_spread":0.24513523948804863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396213995","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00028221257,0.22099435,0.0020767034,0.0008331946,0.0067414604,0.0028815337,0.00042302284,0.00025558917,0.76551193],"genre_scores_gemma":[0.10644036,0.0028906816,0.00035843725,0.00007205919,0.00052390655,0.0002762815,0.000007936463,0.00009601263,0.8893343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976723,0.000038973412,0.0010008054,0.000538239,0.00056221924,0.00018744903],"domain_scores_gemma":[0.9932208,0.0057425452,0.00020311736,0.00045071886,0.0003307484,0.000052071788],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009077665,0.00036946713,0.0010089519,0.00026735527,0.00011597546,0.00008159752,0.0001304297,0.00027207413,0.000042146024],"category_scores_gemma":[0.0021203083,0.00028063613,0.0001297078,0.00004793455,0.00027156927,0.000050941024,0.0001726614,0.0003464986,0.00020078337],"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":[0.0002522797,0.000016621865,0.000009663,0.00104811,0.00044748126,0.000056856188,0.00076527445,0.000014076296,7.739713e-7,0.9717667,0.021625506,0.0039966484],"study_design_scores_gemma":[0.0008972436,0.000107311644,0.0000065363693,0.0026579204,0.0001916873,0.00003410307,0.00092877686,0.00036097926,1.3233975e-7,0.75844115,0.23612125,0.00025290134],"about_ca_topic_score_codex":0.000011647569,"about_ca_topic_score_gemma":0.00010987789,"teacher_disagreement_score":0.21810368,"about_ca_system_score_codex":0.00021809524,"about_ca_system_score_gemma":0.000054646764,"threshold_uncertainty_score":0.9999646},"labels":[],"label_agreement":null},{"id":"W4396214022","doi":"10.1007/978-3-031-55564-0_17","title":"Multi Stability of Additive–Additive Fuzzy Functional Inequalities in MVFC–$$\\diamond $$–Ternary Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Ternary operation; Stability (learning theory); Mathematics; Fuzzy logic; Pure mathematics; Diamond; Algebra over a field; Materials science; Computer science; Artificial intelligence; Machine learning; Composite material","score_opus":0.14289993177507018,"score_gpt":0.34673542908667054,"score_spread":0.20383549731160036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396214022","genre_codex":"other","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":[0.105989754,0.28622514,0.012647065,0.0013828225,0.026044104,0.023775555,0.06158641,0.0008110723,0.4815381],"genre_scores_gemma":[0.94076353,0.0023070348,0.0006782147,0.00006910927,0.00053008914,0.00074032374,0.00016665539,0.00012857773,0.054616462],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99502623,0.0002639353,0.0023738162,0.00095684675,0.0010494916,0.0003296983],"domain_scores_gemma":[0.98379123,0.014024176,0.0006163084,0.0005891137,0.0008916908,0.00008747787],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0021689571,0.00063253834,0.0019097722,0.0006697212,0.00010032672,0.00004587461,0.00019507988,0.0004296514,0.00020724157],"category_scores_gemma":[0.004326587,0.00053618266,0.0002687132,0.00015364937,0.0006973801,0.00019339396,0.00029321195,0.00067483936,0.00005963915],"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":[0.0037476239,0.0006688233,0.0015600483,0.0049672876,0.0026121014,0.00023936847,0.010164251,0.00010307518,0.00004881549,0.955692,0.011974531,0.008222074],"study_design_scores_gemma":[0.0077506327,0.0004693102,0.0027209667,0.009822858,0.0003757188,0.00004582751,0.02163799,0.0016429605,0.000010780675,0.93751043,0.016874574,0.0011379733],"about_ca_topic_score_codex":0.000109589884,"about_ca_topic_score_gemma":0.0010413155,"teacher_disagreement_score":0.8347738,"about_ca_system_score_codex":0.00064000743,"about_ca_system_score_gemma":0.00019092996,"threshold_uncertainty_score":0.99970895},"labels":[],"label_agreement":null},{"id":"W4396214039","doi":"10.1007/978-3-031-55564-0_18","title":"Multi Stability of Pseudo Stochastic Additive Fuzzy Operator Inequalities in MVFB–Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Fuzzy logic; Mathematics; Stability (learning theory); Inequality; Operator (biology); Algebra over a field; Applied mathematics; Pure mathematics; Computer science; Mathematical analysis; Artificial intelligence; Chemistry; Machine learning","score_opus":0.13020058998193054,"score_gpt":0.35906378804129657,"score_spread":0.22886319805936603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396214039","genre_codex":"review","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":[0.23243153,0.40281242,0.036348935,0.0014459087,0.026001884,0.044506848,0.040141955,0.0010259186,0.2152846],"genre_scores_gemma":[0.981507,0.0005196823,0.0005851794,0.000033183245,0.00018600562,0.00048667716,0.000025972005,0.00008244306,0.016573869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99565244,0.00021208357,0.0022728203,0.00079098914,0.00078438176,0.00028728758],"domain_scores_gemma":[0.986746,0.0113174645,0.00043912392,0.0006040124,0.0008165847,0.00007678497],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0022599567,0.0005435741,0.0019630294,0.00051725557,0.00008031191,0.00004208829,0.00019016159,0.0003548422,0.000079156154],"category_scores_gemma":[0.007263642,0.00043912965,0.00018143245,0.00013700975,0.0005104099,0.00012476022,0.00025203792,0.0005372209,0.00004295671],"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":[0.0013708441,0.00030653397,0.00016278394,0.004222202,0.0010755713,0.000065497676,0.011506147,0.00017121232,0.000032375858,0.9773194,0.0014620223,0.0023054124],"study_design_scores_gemma":[0.011705141,0.00071106415,0.00030778523,0.020017687,0.0005701624,0.00003975959,0.044518672,0.0070124962,0.00000693611,0.9098312,0.0036973786,0.0015816623],"about_ca_topic_score_codex":0.00009038188,"about_ca_topic_score_gemma":0.001069813,"teacher_disagreement_score":0.7490755,"about_ca_system_score_codex":0.00052503985,"about_ca_system_score_gemma":0.00018261213,"threshold_uncertainty_score":0.99980605},"labels":[],"label_agreement":null},{"id":"W4396214040","doi":"10.1007/978-3-031-55564-0_1","title":"Introduction","year":2024,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Geography","score_opus":0.09738484170932783,"score_gpt":0.36236242641168853,"score_spread":0.2649775847023607,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396214040","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00058069977,0.2191288,0.005973153,0.005482234,0.028691536,0.0052341213,0.00050765934,0.00053789857,0.7338639],"genre_scores_gemma":[0.061880328,0.0028462408,0.00039107204,0.000069071386,0.003613747,0.00024412175,0.000017144668,0.000110406414,0.93082786],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976409,0.00004317009,0.0009897117,0.000619085,0.0005371384,0.00016998067],"domain_scores_gemma":[0.99624616,0.0026732204,0.00020832437,0.00046812577,0.00035648735,0.000047683563],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011323484,0.00033757216,0.0009008494,0.00032333794,0.00009763851,0.000063520565,0.000101780264,0.00025005118,0.00008747908],"category_scores_gemma":[0.0019483971,0.0002642735,0.00011901632,0.00006231606,0.00018100218,0.000057314668,0.00011354664,0.00037505885,0.0003190867],"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":[0.00018390204,0.000019342484,0.0000046686973,0.0007147722,0.00040796484,0.000026387488,0.0003709435,0.000028404977,0.0000028921452,0.9129499,0.08095,0.004340784],"study_design_scores_gemma":[0.00074016326,0.00006410152,0.00000351826,0.0009443904,0.00014192787,0.000039534876,0.00055395986,0.0003689174,1.8417123e-7,0.60453576,0.3924005,0.00020702841],"about_ca_topic_score_codex":0.000006791751,"about_ca_topic_score_gemma":0.00006610647,"teacher_disagreement_score":0.3114505,"about_ca_system_score_codex":0.0003156449,"about_ca_system_score_gemma":0.00003938007,"threshold_uncertainty_score":0.9999809},"labels":[],"label_agreement":null},{"id":"W4396817987","doi":"10.1109/synasc61333.2023.00010","title":"The Inverse of the Complex Gamma Function","year":2023,"lang":"en","type":"article","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo; Western University","funders":"","keywords":"Extension (predicate logic); Inverse; Computer science; Inverse function; Function (biology); Set (abstract data type); Complex plane; Inverse problem; Algorithm; Mathematics; Applied mathematics; Mathematical analysis; Programming language; Geometry","score_opus":0.15601638144670474,"score_gpt":0.3239698226506303,"score_spread":0.16795344120392555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396817987","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":[0.8776092,0.0000059159265,0.0033883124,0.014234222,0.0012560769,0.0008887923,0.000031945678,0.00040745933,0.1021781],"genre_scores_gemma":[0.97351176,0.000003636299,0.0007410054,0.00013482363,0.000060272312,0.00002742391,0.00000783358,0.000011602348,0.025501652],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993063,0.0000681841,0.0001963833,0.000080156715,0.00025428797,0.000094685434],"domain_scores_gemma":[0.99807584,0.0013348102,0.000066880224,0.00039516666,0.00011259618,0.0000147013125],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047133435,0.000048419974,0.000058777343,0.000022542037,0.00021063363,0.000011461527,0.00014193135,0.000024813775,0.00021487437],"category_scores_gemma":[0.0014137741,0.000023480392,0.00007005988,0.00044155307,0.0001100996,0.00003401878,0.00007646892,0.000059456448,0.00021243801],"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":[0.00007471349,0.000062562984,0.0013431626,0.00004696975,0.000051334824,1.2311814e-7,0.00034273206,0.00027963033,0.0029842511,0.60884833,0.38431373,0.0016524654],"study_design_scores_gemma":[0.00046503777,0.000053085,0.06362013,0.000011758772,0.00003745394,0.000001681706,0.0014645664,0.026748687,0.00074405974,0.8426328,0.06412949,0.00009129226],"about_ca_topic_score_codex":0.000028464092,"about_ca_topic_score_gemma":0.00076307013,"teacher_disagreement_score":0.32018423,"about_ca_system_score_codex":0.000026112044,"about_ca_system_score_gemma":0.00003592037,"threshold_uncertainty_score":0.27305317},"labels":[],"label_agreement":null},{"id":"W4399657270","doi":"10.48550/arxiv.2406.07838","title":"Capacity bounds on integral flows and the Kostant partition function","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Functional Equations Stability Results","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":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Vetenskapsrådet; National Science Foundation","keywords":"Mathematics; Partition (number theory); Combinatorics","score_opus":0.15402355572676574,"score_gpt":0.21297799024066655,"score_spread":0.05895443451390081,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399657270","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":[0.97540516,0.000045754772,0.013830619,0.00080208376,0.0011341391,0.00066601,0.00013670385,0.00023223054,0.0077473046],"genre_scores_gemma":[0.99771225,0.000049036084,0.0001489827,0.0000761006,0.0001527411,0.000007433328,0.000045544377,0.000026459398,0.0017814358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983933,0.00026816392,0.0002624195,0.0007212505,0.00015000619,0.0002048553],"domain_scores_gemma":[0.99803495,0.00085319806,0.0001578476,0.0007026789,0.0001718789,0.00007943721],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007355308,0.00029002957,0.00030571054,0.0001719959,0.00024067839,0.00012249204,0.0002130617,0.00026676655,0.0000939119],"category_scores_gemma":[0.00055121764,0.00022656842,0.00023109063,0.0003106638,0.00035258126,0.000089677735,0.00047428205,0.0010355602,0.00013760249],"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":[0.00090743386,0.000098549826,0.00007285114,0.00024995604,0.00016963553,0.00001213971,0.00046387242,0.0075741657,0.000013931832,0.9893963,0.00088586286,0.0001553142],"study_design_scores_gemma":[0.0007540905,0.0000791275,0.00021976221,0.000152551,0.00035563347,0.0000033151805,0.00020525746,0.123378865,0.000021189922,0.8741331,0.0004939602,0.00020315083],"about_ca_topic_score_codex":0.000254378,"about_ca_topic_score_gemma":0.00066134526,"teacher_disagreement_score":0.1158047,"about_ca_system_score_codex":0.0004110708,"about_ca_system_score_gemma":0.0001194223,"threshold_uncertainty_score":0.9239192},"labels":[],"label_agreement":null},{"id":"W4400372503","doi":"","title":"Abel-type series and definite integrals involving special functions","year":2024,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Functional Equations Stability Results","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":"York University","funders":"","keywords":"Series (stratigraphy); Type (biology); Mathematics; Calculus (dental); Algebra over a field; Pure mathematics; Geology; Medicine","score_opus":0.04063418403648964,"score_gpt":0.2659758248836687,"score_spread":0.2253416408471791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400372503","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":[0.6137685,0.0057595894,0.025981117,0.037587672,0.0044122045,0.0019704874,0.0008630232,0.0016071956,0.30805022],"genre_scores_gemma":[0.6685519,0.0019107545,0.19719261,0.00017267803,0.0007857962,0.00034710928,0.0019751645,0.00029160795,0.12877235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99533373,0.0022826781,0.0007246214,0.0008686993,0.00047819558,0.0003120902],"domain_scores_gemma":[0.9913588,0.003949748,0.0003455307,0.0016867516,0.0024932947,0.00016582936],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0043121055,0.00039914725,0.00044357334,0.00031277724,0.00043712082,0.0006551085,0.0005306982,0.00035574863,0.00042462346],"category_scores_gemma":[0.011001446,0.00040928365,0.00019793086,0.00056265574,0.0003829909,0.00016923636,0.0020570618,0.0011282715,0.00018993119],"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":[0.000047372443,0.00034103994,0.00041775513,0.0007869876,0.00017496913,0.000004384306,0.008484819,0.000023792792,0.00052496255,0.9686528,0.013259286,0.0072818655],"study_design_scores_gemma":[0.00036354645,0.000001640628,0.0006991957,0.0028624083,0.00022081722,0.000034205485,0.00071544515,0.004107657,0.0026148302,0.9607179,0.02703382,0.0006284871],"about_ca_topic_score_codex":0.00045255842,"about_ca_topic_score_gemma":0.005076926,"teacher_disagreement_score":0.17927787,"about_ca_system_score_codex":0.0002164884,"about_ca_system_score_gemma":0.00048636654,"threshold_uncertainty_score":0.9998359},"labels":[],"label_agreement":null},{"id":"W4402200600","doi":"10.2298/fil2402661o","title":"Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings","year":2024,"lang":"en","type":"article","venue":"Filomat","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Fixed point; Stability (learning theory); Pure mathematics; Fixed-point theorem; Discrete mathematics; Applied mathematics; Mathematical analysis","score_opus":0.05415162369353574,"score_gpt":0.30013786352930005,"score_spread":0.24598623983576431,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402200600","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":[0.9844541,0.00014111592,0.007077905,0.0015948706,0.00024768818,0.0006600639,0.00019304553,0.00029350814,0.0053377347],"genre_scores_gemma":[0.97593045,0.0000058260607,0.02366231,0.000021911495,0.00004089047,0.000024472642,0.000025558133,0.000027086146,0.00026146468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982773,0.0001578316,0.0005382694,0.000400457,0.00041871687,0.00020741257],"domain_scores_gemma":[0.9967596,0.0024059964,0.00007836778,0.0004776922,0.00018625284,0.000092097616],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001048063,0.00017156184,0.00029281198,0.00011660054,0.00006347611,0.00004901731,0.00011685828,0.000110357854,0.0005478782],"category_scores_gemma":[0.0046029505,0.00014951265,0.00011598522,0.00032436376,0.00018911422,0.00016993345,0.00010302167,0.00016605227,0.00003741638],"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":[0.001021806,0.0015995027,0.0058043785,0.010693515,0.00096377725,0.000053959033,0.01141745,0.000102426144,0.10618716,0.83669305,0.01768604,0.0077769565],"study_design_scores_gemma":[0.002121389,0.0005629371,0.030851785,0.00077960105,0.00030591842,0.00005863514,0.0015673103,0.056960788,0.030267369,0.8722334,0.003475942,0.0008149306],"about_ca_topic_score_codex":0.000029675897,"about_ca_topic_score_gemma":0.000009760983,"teacher_disagreement_score":0.07591979,"about_ca_system_score_codex":0.00012420579,"about_ca_system_score_gemma":0.00010468262,"threshold_uncertainty_score":0.6096949},"labels":[],"label_agreement":null},{"id":"W4403048323","doi":"10.48550/arxiv.2410.00529","title":"Pointwise order of generalized Hofstadter functions G, H and beyond","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Pointwise; Order (exchange); Mathematics; Pure mathematics; Mathematical analysis; Economics","score_opus":0.10115099141568706,"score_gpt":0.22381624208892553,"score_spread":0.12266525067323847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403048323","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":[0.9594692,0.00015390902,0.02542462,0.0003434214,0.00068760815,0.00051096344,0.0004105809,0.00018281434,0.012816895],"genre_scores_gemma":[0.97914237,0.000062989915,0.0027176198,0.00003230036,0.000078739824,0.000003140795,0.00007380248,0.000041892356,0.01784712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848694,0.00011377603,0.0003378489,0.000746412,0.000116774005,0.00019825654],"domain_scores_gemma":[0.9981271,0.0004072663,0.00019829228,0.00077231147,0.0003856806,0.00010935088],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002738941,0.00028493724,0.00040218604,0.00033394306,0.00008599091,0.00003946217,0.0002209827,0.0002891417,0.0003619821],"category_scores_gemma":[0.00034999548,0.00030373133,0.00020459952,0.00051813386,0.00022681986,0.000084875326,0.0009771234,0.000525069,0.00007919577],"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":[0.00028461975,0.00035232923,0.00088156475,0.0014294173,0.00064456987,0.000060473096,0.0007606872,0.017604526,0.00019677937,0.97154063,0.0060631214,0.0001812562],"study_design_scores_gemma":[0.0007015541,0.00005353649,0.00022509995,0.000109080356,0.00057971984,0.0000061332216,0.00027969343,0.03546306,0.000060602455,0.96152586,0.0006699423,0.00032569456],"about_ca_topic_score_codex":0.00015108722,"about_ca_topic_score_gemma":0.00022098434,"teacher_disagreement_score":0.022707,"about_ca_system_score_codex":0.0001583563,"about_ca_system_score_gemma":0.00024133292,"threshold_uncertainty_score":0.99994147},"labels":[],"label_agreement":null},{"id":"W4403346523","doi":"10.48550/arxiv.2410.05542","title":"On the local convergence of integer-valued Lipschitz functions on regular trees","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Functional Equations Stability Results","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":"Natural Sciences and Engineering Research Council of Canada; Tel Aviv University; Israel Science Foundation","keywords":"Lipschitz continuity; Mathematics; Integer (computer science); Convergence (economics); Discrete mathematics; Pure mathematics; Computer science; Economics","score_opus":0.13274554518051931,"score_gpt":0.22383506632446076,"score_spread":0.09108952114394145,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403346523","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":[0.8888377,0.000033850407,0.09188578,0.00074151554,0.0014608729,0.00079329783,0.00030039198,0.00024135137,0.015705252],"genre_scores_gemma":[0.989543,0.00001516897,0.00011214619,0.000055914745,0.00007443805,0.0000055397845,0.00003260507,0.000037455065,0.010123694],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998038,0.00027918673,0.00038594697,0.0008268755,0.0002453278,0.00022467486],"domain_scores_gemma":[0.99586916,0.0020126041,0.00026303745,0.0014854498,0.00028080324,0.00008895003],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005433789,0.00034737136,0.00038039146,0.00029578758,0.0001607699,0.000030968346,0.00061609136,0.00030148323,0.00057839986],"category_scores_gemma":[0.0011072123,0.00028506055,0.00042141226,0.0006247231,0.00046002,0.000046489367,0.0006375978,0.0011057392,0.0005730013],"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":[0.00029156572,0.00026948005,0.000038662103,0.00019519881,0.00023381041,0.000019329273,0.00021712824,0.13187286,0.000022811877,0.8626125,0.0041610636,0.000065623135],"study_design_scores_gemma":[0.00028150264,0.00021103467,0.000118176686,0.00045742997,0.00029973147,0.0000018254478,0.0006644132,0.14493531,0.00033404,0.8520938,0.0003305613,0.00027217995],"about_ca_topic_score_codex":0.00012825294,"about_ca_topic_score_gemma":0.00018670883,"teacher_disagreement_score":0.10070535,"about_ca_system_score_codex":0.0003841374,"about_ca_system_score_gemma":0.00029586643,"threshold_uncertainty_score":0.9999602},"labels":[],"label_agreement":null},{"id":"W4403473020","doi":"10.1016/j.topol.2024.109093","title":"On invariant means and pre-syndetic subgroups","year":2024,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Fundação de Apoio à Pesquisa do Estado da Paraíba; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Mathematics; Invariant (physics); Pure mathematics; Discrete mathematics; Algebra over a field; Calculus (dental); Combinatorics; Mathematical physics","score_opus":0.03602670439894162,"score_gpt":0.31543465854060143,"score_spread":0.2794079541416598,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403473020","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":[0.78093207,0.003734917,0.13447306,0.032270715,0.00033027265,0.0028133034,0.0002777364,0.00074505893,0.04442285],"genre_scores_gemma":[0.9966276,0.00007567125,0.0011485101,0.00014399421,0.000056070952,0.000337101,0.000014386625,0.000010663833,0.0015859915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993845,0.00003496576,0.00015513766,0.00025578032,0.00006528257,0.00010430492],"domain_scores_gemma":[0.9983632,0.001351472,0.000020280513,0.00018297114,0.000032576198,0.00004948385],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018039533,0.00008143387,0.00009635485,0.00006679259,0.00016216558,0.000025037101,0.00005241432,0.000082586674,0.0001751729],"category_scores_gemma":[0.0002009345,0.000070580674,0.000017553042,0.00012856712,0.00011933481,0.000052521078,0.000033032597,0.00013215624,0.000087142085],"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":[0.0000106268335,0.000055147608,0.000016747304,0.000070141585,0.000018955234,6.1094767e-7,0.00032520303,0.0000038768962,0.00019162828,0.99747413,0.0006283263,0.0012046316],"study_design_scores_gemma":[0.00013612265,0.000077384546,0.0010945527,0.000016677755,0.000046704838,0.000038741582,0.000066510576,0.004669914,0.00011710035,0.9853533,0.008292484,0.000090505084],"about_ca_topic_score_codex":0.0000100406305,"about_ca_topic_score_gemma":0.0000395727,"teacher_disagreement_score":0.21569552,"about_ca_system_score_codex":0.000020117126,"about_ca_system_score_gemma":0.000030396699,"threshold_uncertainty_score":0.28781962},"labels":[],"label_agreement":null},{"id":"W4403943854","doi":"10.28924/2291-8639-22-2024-201","title":"Generalised Ulam-Hyers Stability Analysis for System of Additive Functional Equation in Fuzzy and Random Normed Spaces: Direct and Fixed Point Approach","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Prince Sultan University","keywords":"Mathematics; Functional equation; Stability (learning theory); Fuzzy logic; Fixed point; Point (geometry); Fixed-point theorem; Applied mathematics; Pure mathematics; Mathematical analysis; Differential equation; Computer science; Machine learning; Artificial intelligence; Geometry","score_opus":0.04655592168615216,"score_gpt":0.29992660079106787,"score_spread":0.25337067910491573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403943854","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":[0.339242,0.00043337353,0.6582045,0.0005576317,0.000059002006,0.0004895008,0.0005953677,0.000016630582,0.00040196953],"genre_scores_gemma":[0.98714006,0.00011361813,0.012152912,0.0000114063105,0.0001283422,0.00015742904,0.00024775005,0.000009766329,0.000038720107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979408,0.00012994636,0.0009817271,0.00033730635,0.0005018049,0.00010841256],"domain_scores_gemma":[0.9961561,0.0021698235,0.0004805525,0.00015910044,0.00095020223,0.000084216794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016106539,0.00015286857,0.0005745361,0.0012546582,0.00007755584,0.00012750959,0.00011539303,0.0000735303,0.000025688618],"category_scores_gemma":[0.00047754866,0.00012817916,0.0003648296,0.0012813935,0.000133232,0.00026467373,0.00003934766,0.00011862493,2.6217873e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0048653255,0.0027775601,0.105968386,0.0021756073,0.08191543,0.000011402933,0.008984129,0.06522792,0.010263985,0.6985129,0.0006959782,0.018601375],"study_design_scores_gemma":[0.0063765147,0.00022655605,0.08906577,0.00022441789,0.017301966,0.000054464657,0.0070876884,0.81218624,0.0013781287,0.06475108,0.0007511824,0.00059598946],"about_ca_topic_score_codex":0.00009971895,"about_ca_topic_score_gemma":0.00021228174,"teacher_disagreement_score":0.7469583,"about_ca_system_score_codex":0.00018922453,"about_ca_system_score_gemma":0.000099956924,"threshold_uncertainty_score":0.5226995},"labels":[],"label_agreement":null},{"id":"W4404821974","doi":"10.1007/s13324-024-00994-z","title":"The analytic content is not semiadditive","year":2024,"lang":"lv","type":"article","venue":"Analysis and Mathematical Physics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Artificial intelligence; Computer science","score_opus":0.0788903700718366,"score_gpt":0.3169353272100448,"score_spread":0.23804495713820822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404821974","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":[0.11146662,0.0064599207,0.80817026,0.034784053,0.000989676,0.0027116179,0.0030133927,0.0005848278,0.031819645],"genre_scores_gemma":[0.9801106,0.0006438172,0.0018138967,0.0004572661,0.00045749493,0.0000814436,0.00006667476,0.000066298744,0.016302513],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660486,0.00017250399,0.0010563185,0.00073438283,0.0009419556,0.0004900075],"domain_scores_gemma":[0.98959255,0.00866818,0.00020258248,0.0009234103,0.00039532068,0.00021796371],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011694848,0.00044654464,0.0009179694,0.00014914905,0.0005621251,0.00087852334,0.0002703053,0.00016937031,0.0006056656],"category_scores_gemma":[0.0012678877,0.0002847962,0.0010753991,0.0019993272,0.0005749225,0.00023762601,0.00020086739,0.0004979845,0.0008210239],"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":[0.00003901109,0.00036766296,0.000028679766,0.00089352217,0.01062423,0.000010892677,0.002710313,0.000035178226,0.000119799835,0.96770525,0.006409568,0.011055913],"study_design_scores_gemma":[0.00018594365,0.000073194875,0.00015545222,0.00022667348,0.011828727,0.000004591867,0.0011428914,0.32261825,0.0005194595,0.66043615,0.0024783686,0.0003303011],"about_ca_topic_score_codex":0.000045858298,"about_ca_topic_score_gemma":0.000042409243,"teacher_disagreement_score":0.868644,"about_ca_system_score_codex":0.00016064776,"about_ca_system_score_gemma":0.0001442228,"threshold_uncertainty_score":0.9999604},"labels":[],"label_agreement":null},{"id":"W4405193353","doi":"10.28924/2291-8639-22-2024-231","title":"Orthogonal Stability of Additive Functional Equation in Fuzzy β-Normed Spaces","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Stability (learning theory); Functional equation; Fuzzy logic; Pure mathematics; Applied mathematics; Mathematical analysis; Differential equation; Computer science","score_opus":0.04917215454216657,"score_gpt":0.3313237862789446,"score_spread":0.28215163173677804,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405193353","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":[0.70373017,0.00045251343,0.2906459,0.002181393,0.0002506586,0.00028837958,0.00040967244,0.0000240559,0.0020172875],"genre_scores_gemma":[0.99519914,0.00010763165,0.004245084,0.000017814062,0.00023586628,0.000038471575,0.0000930167,0.000007963966,0.000054991702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979305,0.00008281902,0.00094992004,0.00021694806,0.0007247839,0.00009501486],"domain_scores_gemma":[0.9967106,0.0015854228,0.00039929769,0.00014344629,0.0010994854,0.000061757775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010278785,0.000114556846,0.00030038608,0.0009731595,0.000040334908,0.000075221775,0.00017721142,0.0000614834,0.00031696624],"category_scores_gemma":[0.0005336614,0.00009891327,0.00028165005,0.0011236045,0.0001248777,0.00032500748,0.000043382945,0.0001993381,0.0000048174043],"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":[0.00040877814,0.0013099321,0.056863803,0.00013197916,0.00503187,0.00001258156,0.0012898691,0.002860279,0.004282847,0.8935252,0.00056426815,0.033718593],"study_design_scores_gemma":[0.001642614,0.00022792658,0.24053647,0.0002646593,0.0022765587,0.00009064832,0.0023162386,0.029323673,0.0029446222,0.71154666,0.00835602,0.0004738997],"about_ca_topic_score_codex":0.000037753536,"about_ca_topic_score_gemma":0.00024934253,"teacher_disagreement_score":0.291469,"about_ca_system_score_codex":0.0001657666,"about_ca_system_score_gemma":0.00021935972,"threshold_uncertainty_score":0.40335658},"labels":[],"label_agreement":null},{"id":"W4407110444","doi":"10.4153/s0008439525000141","title":"On boundary-non-preserving mappings with Poletsky inequality","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Inequality; Boundary (topology); Pure mathematics; Mathematical analysis","score_opus":0.02332617338813564,"score_gpt":0.28012409018144346,"score_spread":0.2567979167933078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407110444","genre_codex":"other","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":[0.33219358,0.000037403857,0.04656816,0.06615326,0.00021324358,0.0016159917,0.0001408929,0.00027525355,0.5528022],"genre_scores_gemma":[0.9604483,8.8478606e-7,0.015123806,0.0039890734,0.00006797513,0.0001787946,0.00002717294,0.000056320114,0.020107675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978912,0.00011082578,0.00054313376,0.00045624148,0.000430478,0.00056815264],"domain_scores_gemma":[0.9961189,0.0022357316,0.00009426964,0.0009067477,0.00021817222,0.0004261499],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008732719,0.0002812388,0.00040609686,0.00032187943,0.00034474224,0.00014383324,0.0004058488,0.00015971597,0.010439984],"category_scores_gemma":[0.0059653623,0.00023825729,0.00009923727,0.0004740117,0.00020745987,0.00004481457,0.00007194256,0.0003783258,0.0033799834],"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":[0.00007456917,0.000163733,0.00010177649,0.0005707711,0.00007529576,0.000023261015,0.00028141093,0.000020976315,0.000023661873,0.87780887,0.12057653,0.0002791588],"study_design_scores_gemma":[0.0007002636,0.000099636156,0.00043390165,0.00059635856,0.000047813643,0.000010087547,0.00024466173,0.0007671608,0.00009306184,0.9308316,0.06586006,0.0003153817],"about_ca_topic_score_codex":0.0017372369,"about_ca_topic_score_gemma":0.0043700566,"teacher_disagreement_score":0.6282547,"about_ca_system_score_codex":0.0005843733,"about_ca_system_score_gemma":0.0007654021,"threshold_uncertainty_score":0.997396},"labels":[],"label_agreement":null},{"id":"W4407248812","doi":"10.1007/978-3-031-48825-2_1","title":"Applications of Polák’s Theorem","year":2025,"lang":"en","type":"book-chapter","venue":"Synthesis lectures on mathematics and statistics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Economics; Mathematical economics; Mathematics","score_opus":0.024897654844401977,"score_gpt":0.283541638200964,"score_spread":0.258643983356562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4407248812","genre_codex":"other","genre_gemma":"methods","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":[0.000006483748,0.0002567962,0.46995592,0.00018605593,0.00007416826,0.0009984381,0.0047796895,0.0000731445,0.5236693],"genre_scores_gemma":[0.0023026876,0.0005207554,0.72522527,0.00013002972,0.00016283925,0.00028746677,0.00016291943,0.00019475528,0.27101326],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997857,0.00003078535,0.0009127455,0.0004244492,0.00057127327,0.00020375758],"domain_scores_gemma":[0.98586714,0.012216411,0.00061994663,0.00084730436,0.00036548876,0.00008372216],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00041775467,0.0004664767,0.0008547239,0.00033341447,0.00015800713,0.000043087017,0.00027253147,0.00035750004,0.00044791555],"category_scores_gemma":[0.0033206986,0.00040068597,0.00015173438,0.00006913487,0.00031064992,0.000018020453,0.00008823582,0.00035474866,0.000026971815],"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":[0.00002589641,0.00013264322,4.724143e-7,0.001964972,0.00022066785,0.0000013843534,0.00015011473,0.0000048279758,0.000009179749,0.96428376,0.008747896,0.024458198],"study_design_scores_gemma":[0.00011282796,0.000066580804,0.0000018191624,0.0006036733,0.00045092043,0.000004730879,0.000030659037,0.00081512413,0.0001495673,0.97566545,0.021791652,0.00030697882],"about_ca_topic_score_codex":0.0000042509437,"about_ca_topic_score_gemma":0.00002204861,"teacher_disagreement_score":0.25526938,"about_ca_system_score_codex":0.000084355175,"about_ca_system_score_gemma":0.00018674428,"threshold_uncertainty_score":0.9998445},"labels":[],"label_agreement":null},{"id":"W4408798906","doi":"10.28924/2291-8639-23-2025-68","title":"Hyers-Ulam Stability of Quartic Functional Equation in IFN-Spaces and 2-Banach Spaces by Classical Methods","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Banach space; Stability (learning theory); Quartic function; Pure mathematics; Interpolation space; Mathematical analysis; Functional analysis; Computer science","score_opus":0.04917668132421478,"score_gpt":0.38755517482207164,"score_spread":0.33837849349785687,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408798906","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":[0.43709928,0.0003430201,0.55784833,0.004090509,0.000057656518,0.00015058625,0.000041582312,0.0000067102865,0.00036232977],"genre_scores_gemma":[0.97853154,0.000092219285,0.021104472,0.00003931346,0.00005086051,0.00003393679,0.000028348459,0.000005069754,0.00011424591],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804,0.00021107611,0.0009489443,0.00023387265,0.000465433,0.00010064569],"domain_scores_gemma":[0.996307,0.0020655156,0.0005465671,0.00017957603,0.0008381066,0.000063228916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015340145,0.00012193417,0.00039004156,0.0007057814,0.00006760263,0.00007526716,0.00017793628,0.00007717876,0.000073190364],"category_scores_gemma":[0.00092166825,0.00010780721,0.00017357727,0.000930011,0.00019004577,0.00021359339,0.000057733272,0.00018411478,5.9008704e-7],"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":[0.0009144186,0.0034081163,0.28966895,0.00022319487,0.006449497,0.0000020831187,0.0014999831,0.0022143035,0.031577807,0.594721,0.002292735,0.067027934],"study_design_scores_gemma":[0.0037189617,0.00032905105,0.26472658,0.00017671363,0.0033280693,0.000022938877,0.0048746415,0.082379974,0.012030815,0.61865276,0.009211025,0.00054843543],"about_ca_topic_score_codex":0.00008960569,"about_ca_topic_score_gemma":0.00026618803,"teacher_disagreement_score":0.54143226,"about_ca_system_score_codex":0.00013330221,"about_ca_system_score_gemma":0.000121045654,"threshold_uncertainty_score":0.43962502},"labels":[],"label_agreement":null},{"id":"W4409042161","doi":"10.28924/2291-8639-23-2025-83","title":"Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Quadratic equation; Stability (learning theory); Functional equation; Fuzzy logic; Applied mathematics; Mathematical analysis; Partial differential equation; Geometry; Computer science; Artificial intelligence","score_opus":0.04413248634071825,"score_gpt":0.32445239943585263,"score_spread":0.2803199130951344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409042161","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":[0.45849806,0.00025560078,0.5374529,0.0026237618,0.00013364966,0.00020326086,0.000058532674,0.000011179412,0.00076307566],"genre_scores_gemma":[0.9901672,0.00004443001,0.009492884,0.00005527701,0.00009001402,0.000021879385,0.000038617527,0.000004267825,0.0000854177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982,0.00008375765,0.0009036174,0.00019187329,0.00054019195,0.0000805324],"domain_scores_gemma":[0.9964654,0.0010701133,0.00059334,0.00017351899,0.0016408018,0.000056817567],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090857886,0.00010774425,0.00030408753,0.0006588783,0.00010683452,0.000040172614,0.00014151695,0.000063436106,0.000085142005],"category_scores_gemma":[0.00062912726,0.00009601751,0.00018916963,0.0006718331,0.00016570835,0.00020930417,0.000067982764,0.00012927338,0.0000011298163],"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":[0.000550795,0.0015697173,0.07611083,0.00015367677,0.006272646,0.0000014040426,0.00038471055,0.0024414985,0.019586733,0.8699596,0.00093301944,0.022035394],"study_design_scores_gemma":[0.0019034347,0.00013562276,0.18151619,0.00010448433,0.002932268,0.000034207274,0.0005332346,0.031190934,0.0036576465,0.7764209,0.0013051633,0.00026596224],"about_ca_topic_score_codex":0.000040582483,"about_ca_topic_score_gemma":0.000075326156,"teacher_disagreement_score":0.53166914,"about_ca_system_score_codex":0.00010214657,"about_ca_system_score_gemma":0.00015819681,"threshold_uncertainty_score":0.39154804},"labels":[],"label_agreement":null},{"id":"W4409441045","doi":"10.28924/2291-8639-23-2025-93","title":"A Modern Stability Analysis of Mixed Duodecic-Tridecic Functional Equations in Neutrosophic Normed Spaces: A Hyers-Ulam Perspective","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Prince Sultan University","keywords":"Mathematics; Stability (learning theory); Perspective (graphical); Pure mathematics; Applied mathematics; Mathematical economics; Computer science; Geometry","score_opus":0.04512469998096803,"score_gpt":0.34879866585132613,"score_spread":0.3036739658703581,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409441045","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":[0.43846866,0.00019394024,0.55749446,0.0026630834,0.00008291257,0.0002584032,0.00018800444,0.000011897048,0.0006386607],"genre_scores_gemma":[0.9956619,0.000065416454,0.0038774721,0.00004976087,0.00007451894,0.00008339819,0.00007820824,0.000008348555,0.000100974146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99691504,0.00017169655,0.0015045512,0.00039024782,0.00085619796,0.00016226624],"domain_scores_gemma":[0.9927603,0.0026031006,0.00093340187,0.0004203587,0.0031914506,0.000091373426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001214454,0.00019508114,0.0007718377,0.003725464,0.00011029644,0.00008396586,0.00040726172,0.00010315629,0.00016543001],"category_scores_gemma":[0.0017390521,0.00018222061,0.000785379,0.00551045,0.00019899562,0.00027806874,0.000097271346,0.00027728738,0.0000015980946],"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":[0.0007826109,0.0035829833,0.14630875,0.0000604508,0.038484205,0.000006529725,0.0019710327,0.08332784,0.003780981,0.7180299,0.00015124156,0.003513449],"study_design_scores_gemma":[0.0021014235,0.00007797622,0.29135764,0.00006385109,0.013609793,0.000007507461,0.0031598425,0.15462588,0.00050847104,0.53396046,0.00021593203,0.00031122175],"about_ca_topic_score_codex":0.00027122317,"about_ca_topic_score_gemma":0.0027781306,"teacher_disagreement_score":0.5571932,"about_ca_system_score_codex":0.00053834566,"about_ca_system_score_gemma":0.00037825896,"threshold_uncertainty_score":0.7430741},"labels":[],"label_agreement":null},{"id":"W4409723107","doi":"10.61091/jcmcc126-02","title":"Carathéodory number and exchange number in δ-convexity","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Convexity; Mathematics; Economics; Financial economics","score_opus":0.02662791561756537,"score_gpt":0.3066782045281111,"score_spread":0.28005028891054573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409723107","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":[0.982455,0.00018960604,0.0019824258,0.00028521783,0.0075274426,0.00035638976,0.0000031117584,0.000031853397,0.0071689333],"genre_scores_gemma":[0.99227285,0.000035777895,0.0070893797,0.000032718868,0.00048357237,0.0000042702936,8.405374e-7,0.000025250987,0.000055331173],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972884,0.00019979276,0.0013892908,0.00026061237,0.00054958655,0.0003123076],"domain_scores_gemma":[0.9954722,0.0028523854,0.00070951803,0.00026870586,0.00056313083,0.00013404647],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026905548,0.0002902384,0.00086369464,0.00021055435,0.00019823591,0.00015242553,0.00025068838,0.00022561305,0.000029181281],"category_scores_gemma":[0.0026978513,0.0002717491,0.00013277523,0.00049901084,0.00014893217,0.0002346901,0.00027639332,0.0006136647,0.0000038586995],"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":[0.00014157058,0.00070053205,0.0051918477,0.00064261997,0.000088146335,0.000016580754,0.0017144552,0.0000037937095,0.00006856182,0.9900265,0.0006161915,0.00078924414],"study_design_scores_gemma":[0.004989558,0.00012350258,0.001053874,0.00054301275,0.0000902644,0.00007682364,0.0005023088,0.0016198255,0.0001537704,0.98996675,0.0006499739,0.00023031584],"about_ca_topic_score_codex":0.000021682737,"about_ca_topic_score_gemma":0.000003696962,"teacher_disagreement_score":0.009817839,"about_ca_system_score_codex":0.00017909364,"about_ca_system_score_gemma":0.00021586669,"threshold_uncertainty_score":0.9999735},"labels":[],"label_agreement":null},{"id":"W4410188965","doi":"10.71352/ac.35.005","title":"Results on classes of functional equations. Tribute to Antal Járai","year":2011,"lang":"en","type":"article","venue":"Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Tribute; Humanities; Mathematics; Philosophy; Art; Art history","score_opus":0.09592022459462175,"score_gpt":0.2792382009040551,"score_spread":0.18331797630943336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410188965","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":[0.7081396,0.000047959904,0.2704838,0.002738807,0.001541311,0.00095612224,0.0010766204,0.0003644363,0.014651351],"genre_scores_gemma":[0.96191883,0.0000046605555,0.036706727,0.00012250897,0.000115805626,0.000009411418,0.00013425836,0.00003382422,0.00095394463],"study_design_codex":"not_applicable","study_design_gemma":"observational","domain_scores_codex":[0.9968313,0.00027702135,0.0007380875,0.00078180106,0.00082635146,0.00054545555],"domain_scores_gemma":[0.9945,0.0029707772,0.00044711342,0.0005843886,0.0011528449,0.00034487795],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009900493,0.00035134854,0.00046967913,0.0009832783,0.00050931046,0.00005705946,0.00040921592,0.00013928632,0.00016438322],"category_scores_gemma":[0.003408367,0.00036998114,0.00023660733,0.001995488,0.0002206417,0.000389252,0.00020033913,0.00027759533,0.00014599522],"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":[0.026982354,0.010382233,0.016286815,0.000740979,0.0022090885,0.0004545508,0.026680736,0.06581282,0.009837992,0.21279153,0.6117762,0.01604474],"study_design_scores_gemma":[0.037639022,0.016034946,0.44903478,0.0013821594,0.002356647,0.0009306227,0.009742659,0.1786204,0.029768081,0.19489543,0.072977915,0.006617343],"about_ca_topic_score_codex":0.00017153333,"about_ca_topic_score_gemma":0.00019891678,"teacher_disagreement_score":0.5387983,"about_ca_system_score_codex":0.00043845628,"about_ca_system_score_gemma":0.00038244715,"threshold_uncertainty_score":0.9998752},"labels":[],"label_agreement":null},{"id":"W4410438841","doi":"10.28924/2291-8639-23-2025-119","title":"Ulam Stability of Quadratic Mapping Connected With Homomorphisms and Derivations in Non-Archimedean Banach Algebras","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Homomorphism; Pure mathematics; Quadratic equation; Stability (learning theory); Banach space; Algebra over a field; Geometry; Computer science","score_opus":0.01989354374227919,"score_gpt":0.2990217042857969,"score_spread":0.2791281605435177,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410438841","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":[0.7250798,0.00004831482,0.2729866,0.0012768453,0.000015443771,0.0001949196,0.000030375944,0.000004954106,0.00036277447],"genre_scores_gemma":[0.98582906,0.000037778816,0.0139822215,0.000038186732,0.000024180645,0.000034978344,0.000023897617,0.000005092303,0.000024604058],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9984896,0.00006739907,0.00083766534,0.00018252232,0.0003357867,0.000087036715],"domain_scores_gemma":[0.99730957,0.0010598063,0.0004645266,0.00020150111,0.0009129328,0.00005167008],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005863292,0.00010684201,0.00035681564,0.00092140475,0.00007151943,0.000043203185,0.00019782437,0.00004213723,0.000039901788],"category_scores_gemma":[0.00041781145,0.00008997892,0.000098025404,0.0012497382,0.00017650524,0.00014387658,0.000050352723,0.00014933552,3.11407e-7],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030874577,0.0018265457,0.5012666,0.00022560977,0.0059834323,0.0000064471474,0.0021401972,0.0015148165,0.009926069,0.46728128,0.00009638471,0.009423879],"study_design_scores_gemma":[0.0022834141,0.00012621406,0.7041741,0.0002444289,0.0012598117,0.000030775165,0.0029748369,0.016885491,0.0022407034,0.2692746,0.00025182165,0.00025378948],"about_ca_topic_score_codex":0.00008796747,"about_ca_topic_score_gemma":0.00057751505,"teacher_disagreement_score":0.26074928,"about_ca_system_score_codex":0.0000807201,"about_ca_system_score_gemma":0.00013300995,"threshold_uncertainty_score":0.3669234},"labels":[],"label_agreement":null},{"id":"W4411668161","doi":"10.28924/2291-8639-23-2025-148","title":"Hyers-Ulam Stability of N-Dimensional Additive Functional Equation in Modular Spaces Using Fixed Point Method","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Fixed point; Functional equation; Stability (learning theory); Fixed-point theorem; Modular design; Fixed-point iteration; Pure mathematics; Applied mathematics; Mathematical analysis; Differential equation; Computer science","score_opus":0.058255180142704144,"score_gpt":0.36675672101392287,"score_spread":0.3085015408712187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411668161","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":[0.3574884,0.00007180243,0.64094436,0.0009101419,0.00008035723,0.00017647167,0.00010007961,0.000005748399,0.00022260893],"genre_scores_gemma":[0.9309116,0.000017819648,0.068804875,0.00004901917,0.00008574263,0.000024394876,0.00005981606,0.0000062465647,0.00004050138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976613,0.00018684885,0.0011188126,0.0002523106,0.00067313924,0.00010758989],"domain_scores_gemma":[0.9954225,0.001656542,0.00076805864,0.00020985962,0.0018893951,0.000053686923],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015025097,0.0001363318,0.00042218453,0.001144827,0.00007724675,0.00004092345,0.00020498868,0.00007800547,0.00020842212],"category_scores_gemma":[0.00092260184,0.00012590837,0.00030350641,0.0011888903,0.000111322515,0.00026203232,0.00007987455,0.00019068265,8.765281e-7],"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":[0.0014820317,0.0044473372,0.090835646,0.00016660463,0.012268396,0.00000940609,0.0012946435,0.21893717,0.0698587,0.5796804,0.0005042867,0.020515379],"study_design_scores_gemma":[0.002710665,0.00011306183,0.10834874,0.00019957236,0.0024433543,0.00003374386,0.0018185836,0.3950419,0.015152242,0.47301134,0.0007571876,0.0003695969],"about_ca_topic_score_codex":0.00013357452,"about_ca_topic_score_gemma":0.00013352469,"teacher_disagreement_score":0.5734232,"about_ca_system_score_codex":0.00027625528,"about_ca_system_score_gemma":0.00025365167,"threshold_uncertainty_score":0.5134394},"labels":[],"label_agreement":null},{"id":"W4412826054","doi":"10.28924/2291-8639-23-2025-175","title":"Stability of an Additive-Quadratic Functional Equation in a Banach Space","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Thailand Science Research and Innovation; University of Phayao; Lampang Rajabhat University","keywords":"Mathematics; Banach space; Quadratic equation; Stability (learning theory); Pure mathematics; Space (punctuation); Applied mathematics; Functional equation; Mathematical analysis; Computer science; Differential equation","score_opus":0.03896466955966849,"score_gpt":0.3392722139883817,"score_spread":0.3003075444287132,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412826054","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":[0.5580317,0.00006114078,0.4392046,0.0012837898,0.00007193702,0.00020106438,0.00008586685,0.000007693923,0.0010522151],"genre_scores_gemma":[0.99121,0.000029421928,0.008470146,0.000036551584,0.0000774695,0.00003813394,0.00006612585,0.0000045375223,0.000067620815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981438,0.00012574722,0.0009410653,0.00019544858,0.00051012373,0.00008385183],"domain_scores_gemma":[0.9967489,0.0010445069,0.00055198924,0.00022149224,0.0013801875,0.000052915606],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010146676,0.00010235567,0.00032114508,0.0009489546,0.00005246973,0.00003818679,0.00022652761,0.000058819653,0.00019063467],"category_scores_gemma":[0.000789303,0.00009465765,0.0001870314,0.0011865257,0.00010392172,0.0002944605,0.00004142942,0.00015431183,0.0000012145314],"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":[0.0006538973,0.0037356173,0.08571885,0.00009687789,0.0038836296,0.000004064671,0.0010260257,0.006097172,0.005505597,0.86482406,0.0003147703,0.028139437],"study_design_scores_gemma":[0.0024300404,0.0001851239,0.3536629,0.00012125065,0.0016965598,0.000013630233,0.0024496168,0.058653805,0.0049804836,0.57366496,0.0018443855,0.00029721623],"about_ca_topic_score_codex":0.000082397426,"about_ca_topic_score_gemma":0.0004964784,"teacher_disagreement_score":0.4331783,"about_ca_system_score_codex":0.00016789668,"about_ca_system_score_gemma":0.00019826526,"threshold_uncertainty_score":0.3860027},"labels":[],"label_agreement":null},{"id":"W4413186338","doi":"10.55016/ojs/cdm.v7i2.62119","title":"A discrete Faà di Bruno's formula","year":2012,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; Universidade do Minho","keywords":"Mathematics; Combinatorics; Mathematical economics","score_opus":0.038036867905148396,"score_gpt":0.3495598248174457,"score_spread":0.3115229569122973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413186338","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":[0.10251845,0.0001950134,0.8719203,0.003850342,0.00064042263,0.0023627009,0.0017545825,0.00063683424,0.016121348],"genre_scores_gemma":[0.9492223,0.000005931783,0.04719782,0.00015635582,0.0004524345,0.00043662655,0.00017980936,0.000084195985,0.0022645257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966633,0.000120793105,0.0010188442,0.00038391878,0.00074265274,0.0010705275],"domain_scores_gemma":[0.9955263,0.0017248038,0.0002807444,0.0012377471,0.00060220825,0.0006281704],"candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013389996,0.00044072545,0.0006174962,0.00022902925,0.00053890987,0.00013471062,0.0004484398,0.00020225211,0.0003563529],"category_scores_gemma":[0.01078951,0.0003798142,0.0003316533,0.0007737657,0.00014265922,0.0005860336,0.00030758997,0.00031673242,0.0010595435],"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":[0.00004225649,0.0006054799,0.0004963245,0.0001979786,0.00014097482,0.0000015523467,0.0025986403,0.000050965937,0.0008931427,0.9871644,0.0074921176,0.00031619336],"study_design_scores_gemma":[0.0030334995,0.00035364012,0.003620811,0.0004993611,0.0008256833,0.00013949643,0.0024942087,0.010723735,0.005076475,0.9169762,0.05417704,0.0020798286],"about_ca_topic_score_codex":0.000017036538,"about_ca_topic_score_gemma":0.0000324639,"teacher_disagreement_score":0.8467038,"about_ca_system_score_codex":0.0005101998,"about_ca_system_score_gemma":0.00013233827,"threshold_uncertainty_score":0.99986535},"labels":[],"label_agreement":null},{"id":"W4413288075","doi":"10.1214/25-ecp711","title":"A Cramér–Wold theorem for mixtures","year":2025,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Mathematical economics; Calculus (dental); Applied mathematics; Econometrics; Discrete mathematics","score_opus":0.06335071001103862,"score_gpt":0.3728784352751948,"score_spread":0.3095277252641562,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413288075","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":[0.47613305,0.0076841675,0.22950678,0.10430642,0.00068530085,0.020830864,0.00026626594,0.0015032508,0.1590839],"genre_scores_gemma":[0.9543424,0.000056634133,0.042688996,0.00013684486,0.000013438347,0.0018608831,0.0000506382,0.000014996681,0.0008351261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980154,0.00040236936,0.00064010307,0.00037673887,0.00014771463,0.00041767798],"domain_scores_gemma":[0.9909305,0.0054588094,0.00010954011,0.003174611,0.00029768646,0.000028835873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024911945,0.00016682301,0.00026448976,0.0001662459,0.00029271687,0.000035957204,0.0011274929,0.00012500462,0.000040004776],"category_scores_gemma":[0.0076650237,0.00016508627,0.00014269269,0.00078210415,0.00031093514,0.00010985475,0.00030783552,0.00047567667,0.0000055049795],"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":[0.00009844038,0.00077334815,0.0011036897,0.00010621799,0.000035373636,1.8330121e-8,0.00019934114,0.000034901714,0.00011487227,0.99229693,0.0009588088,0.004278039],"study_design_scores_gemma":[0.0006787848,0.000056030156,0.0011050318,0.000040427858,0.000028427401,7.7565284e-7,0.000055930857,0.0032352626,0.00030516373,0.97673917,0.017626492,0.00012851249],"about_ca_topic_score_codex":0.00006756583,"about_ca_topic_score_gemma":0.0040799556,"teacher_disagreement_score":0.4782094,"about_ca_system_score_codex":0.0010122767,"about_ca_system_score_gemma":0.0007290189,"threshold_uncertainty_score":0.91763026},"labels":[],"label_agreement":null},{"id":"W4413380479","doi":"10.28924/2291-8639-23-2025-189","title":"Analytic General Conformable Semigroup","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Universiti Teknologi Malaysia","keywords":"Conformable matrix; Mathematics; Semigroup; Pure mathematics; Calculus (dental); Medicine; Orthodontics","score_opus":0.01618318487143046,"score_gpt":0.34742396011250865,"score_spread":0.3312407752410782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413380479","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":[0.15288661,0.00024419275,0.82753056,0.0040116482,0.0001766151,0.00018824947,0.000057099947,0.000022575961,0.014882423],"genre_scores_gemma":[0.9836219,0.00012357254,0.01224946,0.0002621113,0.00021094653,0.000022279997,0.000028816516,0.0000050591966,0.0034758784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998828,0.000025926798,0.00061361794,0.00011907191,0.00033324774,0.00008015792],"domain_scores_gemma":[0.99796087,0.00035608798,0.00033589403,0.00016726163,0.0011267929,0.000053085532],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004408632,0.000081733255,0.00023631872,0.0006954,0.00008010424,0.00008343607,0.00026869966,0.00003959777,0.0001060329],"category_scores_gemma":[0.00023940572,0.000069712856,0.00020731974,0.0008937744,0.00005883182,0.00015906391,0.000049895167,0.00011356869,0.0000041528915],"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":[0.00008216647,0.00038412792,0.0181194,0.00002332824,0.0070700576,0.0000030957367,0.00011866326,0.0023780596,0.00086548354,0.95224637,0.0045014643,0.014207795],"study_design_scores_gemma":[0.002298384,0.00008951168,0.04373667,0.00008094658,0.006081897,0.00007198188,0.0006272606,0.056332886,0.0014389898,0.6990676,0.18977416,0.00039974364],"about_ca_topic_score_codex":0.000031464082,"about_ca_topic_score_gemma":0.000050154864,"teacher_disagreement_score":0.83073527,"about_ca_system_score_codex":0.000087698376,"about_ca_system_score_gemma":0.00010468409,"threshold_uncertainty_score":0.28428078},"labels":[],"label_agreement":null},{"id":"W4413608159","doi":"10.28924/2291-8639-23-2025-204","title":"Stability in Locally Convex Lattice Cones","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Eusko Jaurlaritza","keywords":"Mathematics; Regular polygon; Lattice (music); Pure mathematics; Stability (learning theory); Geometry; Computer science; Physics","score_opus":0.029527871424775864,"score_gpt":0.3481988926615258,"score_spread":0.31867102123674995,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413608159","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":[0.49478203,0.00022762365,0.4932964,0.0070111295,0.00012768416,0.0002556551,0.00004999291,0.000014992562,0.004234461],"genre_scores_gemma":[0.9942495,0.0000611559,0.005311675,0.00013784897,0.00005802042,0.00002243107,0.000009006616,0.000003104382,0.00014725278],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870735,0.000061104016,0.0007080716,0.00014372723,0.00030705467,0.00007271448],"domain_scores_gemma":[0.9975204,0.0010105267,0.00028044477,0.00016591487,0.0009814776,0.00004122121],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007406618,0.00007668694,0.00025839466,0.0005592185,0.000042845877,0.00005167237,0.00024478234,0.00004414421,0.000111775946],"category_scores_gemma":[0.00057749695,0.000067893016,0.00014828693,0.00081910845,0.00009081382,0.00012846633,0.000048560752,0.00014111759,0.000002620791],"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":[0.00021788177,0.0011630028,0.1759657,0.000050517556,0.0030575404,0.000005569715,0.00035563347,0.000668354,0.0009135631,0.8025909,0.0003832857,0.014628072],"study_design_scores_gemma":[0.002093341,0.000056577883,0.18525076,0.00008851149,0.0014712515,0.000019255014,0.0012068999,0.010796831,0.001127397,0.7835466,0.014099409,0.00024313742],"about_ca_topic_score_codex":0.000048743786,"about_ca_topic_score_gemma":0.00031057434,"teacher_disagreement_score":0.49946746,"about_ca_system_score_codex":0.00010931081,"about_ca_system_score_gemma":0.000119898985,"threshold_uncertainty_score":0.27685967},"labels":[],"label_agreement":null},{"id":"W4413965763","doi":"10.70930/tac/ixrw9w9v","title":"Semisimplicity manifesting as categorical smallness","year":2024,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Science Foundation","keywords":"Categorical variable; Computer science; Mathematics; Statistics","score_opus":0.027135353666989145,"score_gpt":0.3136708494396106,"score_spread":0.28653549577262144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413965763","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":[0.36418456,0.001633729,0.5484244,0.0008807683,0.0001807473,0.0011198185,0.00008096686,0.00069601776,0.08279896],"genre_scores_gemma":[0.99684805,0.000020172589,0.00093585736,0.000017119808,0.000112979724,0.00023081616,0.000016226353,0.000017500563,0.0018013085],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908245,0.00008067385,0.0003056055,0.0002493572,0.00015470729,0.00012720459],"domain_scores_gemma":[0.9966851,0.0028267284,0.000058382095,0.0002539872,0.00012092106,0.00005491179],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008661722,0.000120039724,0.00016317009,0.00007904634,0.00017548914,0.000050180992,0.00013417228,0.00006729371,0.00009815586],"category_scores_gemma":[0.00056242984,0.00010470272,0.000047595997,0.00035654692,0.0002607336,0.00012892572,0.00006611423,0.0001316924,0.000037215777],"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":[0.000035487654,0.000054861015,0.000025145384,0.0003207428,0.000028401537,0.0000013274412,0.0005283878,0.000007976047,0.0007869688,0.9906765,0.00009354314,0.007440608],"study_design_scores_gemma":[0.00006915706,0.000024804813,0.00005699203,0.000015552445,0.00005578129,0.00009789282,0.0008300393,0.00012382088,0.0032554271,0.9922525,0.003109482,0.00010851886],"about_ca_topic_score_codex":0.000028595847,"about_ca_topic_score_gemma":0.0000035802043,"teacher_disagreement_score":0.6326635,"about_ca_system_score_codex":0.00002734514,"about_ca_system_score_gemma":0.00008800165,"threshold_uncertainty_score":0.4269653},"labels":[],"label_agreement":null},{"id":"W4414722137","doi":"10.1007/978-3-031-96704-7_2","title":"Analysis of a New Stability","year":2025,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Fixed-point theorem; Fractional calculus; Integral equation; Volterra integral equation; Stability (learning theory); Differential equation; Banach fixed-point theorem; Fixed point; Nonlinear system","score_opus":0.15206492647819828,"score_gpt":0.38490330054440625,"score_spread":0.23283837406620797,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414722137","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01078742,0.1564843,0.07170105,0.0010074163,0.005586295,0.009879515,0.0035265961,0.00027742668,0.74074996],"genre_scores_gemma":[0.6801655,0.002153869,0.0013710873,0.000096845644,0.00020766011,0.00014910568,0.00003860029,0.00005177545,0.31576553],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9970577,0.00009694767,0.0015672572,0.000524119,0.0006038896,0.00015012734],"domain_scores_gemma":[0.98906183,0.008992697,0.00050142326,0.0007362383,0.00064799574,0.000059815895],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014525843,0.00030760845,0.0020420472,0.00072020956,0.00006482421,0.000019052492,0.00016332314,0.00023993368,0.00009889326],"category_scores_gemma":[0.0054009836,0.00024878798,0.0003209561,0.0002770558,0.00019157086,0.000036224028,0.00014148773,0.00020930421,0.000004999659],"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":[0.002028135,0.0002451776,0.0039505986,0.00301395,0.023258291,0.000020132566,0.0038897227,0.0003302437,0.000007769857,0.902614,0.027237967,0.033404008],"study_design_scores_gemma":[0.007835169,0.0003118553,0.0015132315,0.004489735,0.011461713,0.0000047745325,0.004689248,0.0072092274,0.0000021330252,0.8967971,0.06468,0.0010058213],"about_ca_topic_score_codex":0.00009299892,"about_ca_topic_score_gemma":0.00087625324,"teacher_disagreement_score":0.6693781,"about_ca_system_score_codex":0.0002446597,"about_ca_system_score_gemma":0.00017391643,"threshold_uncertainty_score":0.9999964},"labels":[],"label_agreement":null},{"id":"W4414726714","doi":"10.1007/978-3-031-96704-7_4","title":"Picard Method","year":2025,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Gauss; Differential equation; Hypergeometric function; Homogeneous differential equation; Stability (learning theory); Frobenius solution to the hypergeometric equation; First-order partial differential equation; Universal differential equation","score_opus":0.13274420951169627,"score_gpt":0.4235009623895652,"score_spread":0.29075675287786895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414726714","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000035285626,0.053858683,0.103219144,0.00062676496,0.004200863,0.0030092655,0.00037091866,0.00015151722,0.83452755],"genre_scores_gemma":[0.017629087,0.0028570555,0.012939181,0.00032139447,0.0005494493,0.000438718,0.0000145401855,0.000082702885,0.9651679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973793,0.00015371415,0.0011449178,0.0005686947,0.0005602646,0.00019310793],"domain_scores_gemma":[0.98564404,0.012918387,0.00029820163,0.00057987176,0.00050690427,0.000052599553],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0017572959,0.00036732797,0.0013685625,0.0003198061,0.00013233029,0.00004045622,0.00017010699,0.00030749023,0.00003687564],"category_scores_gemma":[0.004881043,0.00029250598,0.00016532736,0.000064292966,0.00013600256,0.000039239167,0.00017614198,0.00033643236,0.000039307943],"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":[0.00033645195,0.000032663043,0.000029778097,0.0007748039,0.00076595834,0.000026036578,0.0003709913,0.000025748464,0.0000016616262,0.92040896,0.05034869,0.026878275],"study_design_scores_gemma":[0.0025116124,0.00007958281,0.000017942892,0.0024481234,0.00026469573,0.000018313753,0.0007616725,0.0007496649,3.1184481e-7,0.69952846,0.2932789,0.0003407412],"about_ca_topic_score_codex":0.000012788398,"about_ca_topic_score_gemma":0.000074103926,"teacher_disagreement_score":0.2429302,"about_ca_system_score_codex":0.00025317344,"about_ca_system_score_gemma":0.00008787023,"threshold_uncertainty_score":0.99995273},"labels":[],"label_agreement":null},{"id":"W4414729285","doi":"10.1007/978-3-031-96704-7_1","title":"Basic Concepts Review","year":2025,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brandon University","funders":"","keywords":"Interpretation (philosophy); Key (lock); Exposition (narrative)","score_opus":0.12235698538531341,"score_gpt":0.4163625085730672,"score_spread":0.2940055231877538,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414729285","genre_codex":"review","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000011732371,0.6173241,0.0015249129,0.000711474,0.0021482462,0.0029315755,0.00022921471,0.00007313084,0.37504557],"genre_scores_gemma":[0.012515813,0.16203871,0.00058185426,0.0016498117,0.00046637238,0.0006916829,0.000028560542,0.00008195312,0.82194525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9971487,0.0001300812,0.0013912548,0.0005540289,0.0005845156,0.00019145601],"domain_scores_gemma":[0.9902611,0.008046196,0.00040030802,0.00062913384,0.00060835126,0.000054921107],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015308748,0.0003911388,0.0016757044,0.000191815,0.0001211052,0.000026749038,0.00018128188,0.00022549335,0.000099752346],"category_scores_gemma":[0.0063928273,0.00030651153,0.0001739367,0.00007382404,0.00021407289,0.000044621735,0.000148757,0.0003179517,0.00007605126],"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":[0.00017623695,0.000039022023,0.000023278759,0.010310121,0.0006224225,0.00003511387,0.00020162485,0.0000032801279,5.0678926e-7,0.68367517,0.27773485,0.027178383],"study_design_scores_gemma":[0.0025455493,0.00008753998,0.000010501016,0.051121254,0.00041896597,0.000021703461,0.00033501323,0.00010740212,9.72669e-8,0.27584353,0.66908544,0.00042301224],"about_ca_topic_score_codex":0.000007139483,"about_ca_topic_score_gemma":0.00005728164,"teacher_disagreement_score":0.45528543,"about_ca_system_score_codex":0.00024781947,"about_ca_system_score_gemma":0.00011272535,"threshold_uncertainty_score":0.9999387},"labels":[],"label_agreement":null},{"id":"W4415914275","doi":"10.28924/2291-8639-23-2025-285","title":"Integrable and Continuous Solutions of the Nonlinear Delayed Abel Fractal Integral Equation of the Second Kind","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Integrable system; Fractal; Nonlinear system; Stability (learning theory); Integral equation","score_opus":0.017555452775089405,"score_gpt":0.29128140978999173,"score_spread":0.2737259570149023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415914275","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":[0.7210575,0.0013980031,0.26434526,0.008620674,0.00056353834,0.0008158702,0.0012549795,0.000006302668,0.0019378809],"genre_scores_gemma":[0.9949451,0.00017910596,0.003250343,0.00010049329,0.00012042579,0.00002249649,0.000020365369,0.000009842595,0.0013518231],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966989,0.00021499208,0.0018919092,0.00025278653,0.0007800529,0.0001613391],"domain_scores_gemma":[0.99273944,0.0013541542,0.0022822649,0.0004945552,0.0030627279,0.00006688802],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011757994,0.00021493113,0.0005966523,0.0005978856,0.0003167255,0.000101158555,0.0007996512,0.00015299449,0.00019675746],"category_scores_gemma":[0.0010855837,0.00014077548,0.0007209787,0.0016294875,0.0006690223,0.00023306969,0.0003364648,0.0005176565,9.554886e-7],"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":[0.0011786331,0.006819624,0.098624475,0.0006145126,0.04575057,0.0000019077781,0.0048793303,0.0075801886,0.03254317,0.73936397,0.0028446778,0.059798934],"study_design_scores_gemma":[0.007581438,0.00057314424,0.20260327,0.0018680302,0.027485274,0.00015942525,0.011258304,0.2698097,0.026408091,0.4238282,0.027443323,0.000981792],"about_ca_topic_score_codex":0.00020706678,"about_ca_topic_score_gemma":0.0009155036,"teacher_disagreement_score":0.31553575,"about_ca_system_score_codex":0.00015374577,"about_ca_system_score_gemma":0.0004967246,"threshold_uncertainty_score":0.57406574},"labels":[],"label_agreement":null},{"id":"W64299989","doi":"10.1007/978-3-642-11004-7_11","title":"Difference and Mean Value Type Functional Equations","year":2010,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Physics; Noisy text analytics; Combinatorics; Text graph; Type (biology); Text mining; Computer science; Mathematics; Natural language processing; Biology","score_opus":0.11277363704536923,"score_gpt":0.28994923606004935,"score_spread":0.1771755990146801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W64299989","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000450329,0.00006190579,0.028425593,0.00068561663,0.0008424948,0.00047137463,0.000112696005,0.00020586025,0.96874416],"genre_scores_gemma":[0.008029509,0.000020159796,0.01469545,0.000119718316,0.0003311031,0.000016599857,0.00019807032,0.000063540385,0.97652584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852616,0.000016382412,0.0003969887,0.00042362692,0.0004888787,0.00014799162],"domain_scores_gemma":[0.99688494,0.0019180668,0.0001592477,0.00051291665,0.00041614045,0.000108699685],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023877351,0.00028881358,0.00028964976,0.00014086571,0.00019231289,0.00004737609,0.00011181932,0.00042233051,0.005279405],"category_scores_gemma":[0.0011487168,0.00025451166,0.000089613,0.000036511483,0.0001947897,0.00006196776,0.00010182598,0.00058628654,0.00041354544],"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":[0.000021261396,0.000029289115,0.00000616864,0.00004166044,0.00005428869,5.911308e-7,0.000052095154,0.0000023420318,0.00019818328,0.998136,0.00090381195,0.00055432436],"study_design_scores_gemma":[0.00021183278,0.000058086804,0.00014229534,0.00003915941,0.00010691703,0.000010511596,0.000007845732,0.00047907289,0.000026931239,0.97824156,0.020397333,0.0002784529],"about_ca_topic_score_codex":0.00001837267,"about_ca_topic_score_gemma":0.00034713978,"teacher_disagreement_score":0.019894423,"about_ca_system_score_codex":0.000071474664,"about_ca_system_score_gemma":0.00019461446,"threshold_uncertainty_score":0.9999907},"labels":[],"label_agreement":null},{"id":"W6981248007","doi":"","title":"Does self-efficacy mediate the association between socioeconomic background and emotional symptoms among schoolchildren?","year":2016,"lang":"en","type":"article","venue":"UWA Profiles and Research Repository (University of Western Australia)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Centre for Global Health Research","funders":"","keywords":"Association (psychology); Socioeconomic status; Disease; Ethnic group; Population","score_opus":0.07387778184862918,"score_gpt":0.32094500677783755,"score_spread":0.24706722492920835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6981248007","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":[0.99670774,0.000011616613,0.00005386229,0.0024813898,0.00008728452,0.0004245151,0.000072717965,0.000037507154,0.00012334978],"genre_scores_gemma":[0.98821986,0.000049275768,0.0002497473,0.0000021351195,0.00018386128,0.0000018089605,0.000008536703,0.000009966293,0.011274815],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9982367,0.00042279647,0.00021652503,0.00032495844,0.0005232737,0.00027570387],"domain_scores_gemma":[0.9969885,0.0021313482,0.0002224078,0.00024865413,0.00027796483,0.00013116997],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001307922,0.00011536242,0.00020597849,0.00009930027,0.00066142343,0.000083389816,0.00022770205,0.00016514705,0.000050953648],"category_scores_gemma":[0.00015521512,0.0000691799,0.00007013229,0.00008512878,0.0005525487,0.00043487677,0.00020160576,0.0002722716,0.000025665717],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000041013023,0.000099929006,0.9951877,0.0001022653,0.00028513512,0.000002574211,0.0008311851,5.863528e-7,0.00058772176,0.0018942544,0.00058587873,0.00038177348],"study_design_scores_gemma":[0.0010131359,0.00009690455,0.99295795,0.00010443236,0.00006619719,0.0000032849384,0.00096347055,0.000015955686,0.0005774259,0.0038611162,0.00023135178,0.00010877957],"about_ca_topic_score_codex":0.00029485582,"about_ca_topic_score_gemma":0.000049719554,"teacher_disagreement_score":0.011151465,"about_ca_system_score_codex":0.0002754486,"about_ca_system_score_gemma":0.000086049884,"threshold_uncertainty_score":0.5087201},"labels":[],"label_agreement":null},{"id":"W7018233764","doi":"","title":"A Deep Dive Into Integrals: From Riemann, Stieltjes, Lebesgue to Henstock–Kurzweil","year":2025,"lang":"en","type":"article","venue":"Digital Commons - Trinity University (Trinity University)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trinity College","funders":"","keywords":"Lebesgue integration; Real analysis; Feature integration theory; Function (biology); Calculus (dental); Set (abstract data type); Lebesgue measure; Measure (data warehouse); Set theory","score_opus":0.03418627442673362,"score_gpt":0.25770772811203435,"score_spread":0.22352145368530074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7018233764","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":[0.7762396,0.000021960637,0.0576384,0.002301055,0.0003964261,0.0011769682,0.0014110873,0.00073880807,0.16007572],"genre_scores_gemma":[0.9796585,0.000013509955,0.00409069,0.0001543825,0.00005153497,0.0000012113317,0.00042390393,0.00003266263,0.015573593],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9967662,0.00042462265,0.00049809995,0.0010398175,0.0006169307,0.00065432204],"domain_scores_gemma":[0.9931396,0.0036475882,0.00025387944,0.0015900052,0.0007946409,0.00057424424],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031673256,0.0005961744,0.0008387007,0.001724274,0.001193934,0.00024248818,0.0020371838,0.00038554193,0.00016061837],"category_scores_gemma":[0.0031857018,0.00075388874,0.00052150077,0.0035623154,0.00050017174,0.001503518,0.0027418705,0.0009390295,0.00027509645],"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":[0.007949115,0.0060407356,0.04331596,0.00038164345,0.0021993879,0.0009790013,0.00864658,0.0005562903,0.00011496485,0.88165706,0.030003851,0.018155409],"study_design_scores_gemma":[0.01261777,0.0010817613,0.02575118,0.00062041765,0.0012493895,0.000015093107,0.035482597,0.0011354487,0.00061136717,0.24357685,0.67484516,0.0030129587],"about_ca_topic_score_codex":0.0054175686,"about_ca_topic_score_gemma":0.017341264,"teacher_disagreement_score":0.6448413,"about_ca_system_score_codex":0.0020109965,"about_ca_system_score_gemma":0.00060679606,"threshold_uncertainty_score":0.9994912},"labels":[],"label_agreement":null},{"id":"W7028915851","doi":"","title":"Growing up and living on the land","year":2007,"lang":"en","type":"other","venue":"Americanae (AECID Library)","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Government (linguistics); Land use; Population; Work (physics)","score_opus":0.031243936892028507,"score_gpt":0.26440631541889376,"score_spread":0.23316237852686525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7028915851","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010973917,0.00038712032,0.0005881497,0.0028831994,0.00051140116,0.00056067534,0.000084659376,0.0005665869,0.9834443],"genre_scores_gemma":[0.013434796,0.00019269153,0.00697344,0.003165485,0.00090132136,0.000055014447,0.000039704024,0.0008363484,0.9744012],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986589,0.00011449183,0.00025506862,0.00037415474,0.00033802644,0.0002593353],"domain_scores_gemma":[0.9957608,0.0033245091,0.00023151301,0.00058127695,0.000011518064,0.000090404996],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00020187182,0.0002773405,0.0003248544,0.0003005773,0.00010090861,0.00003817028,0.00025311965,0.00013712837,0.006571354],"category_scores_gemma":[0.0008598185,0.00019659227,0.00008511234,0.0004130874,0.00022477921,0.00016249844,0.00013136287,0.00031198302,0.00017048749],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015818456,0.00005154101,0.008341797,0.00006618599,0.000117694806,0.000006649028,0.00012468912,0.0000010374498,0.0000024824285,0.04989117,0.93730724,0.0040736743],"study_design_scores_gemma":[0.0005672672,0.00035871734,0.023966845,0.001475536,0.00018717625,0.000017704644,0.0007418316,0.00021320817,0.00007230716,0.027752604,0.9433081,0.0013387112],"about_ca_topic_score_codex":0.0026682047,"about_ca_topic_score_gemma":0.00004209122,"teacher_disagreement_score":0.022138566,"about_ca_system_score_codex":0.000026286009,"about_ca_system_score_gemma":0.00006709874,"threshold_uncertainty_score":0.9943368},"labels":[],"label_agreement":null},{"id":"W7036986007","doi":"","title":"Dimension-independent functional inequalities by tensorization and projection arguments","year":2024,"lang":"en","type":"report","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Projection (relational algebra); Inequality; Algebra over a field; Calculus (dental); Context (archaeology); Constraint (computer-aided design)","score_opus":0.10261471437061795,"score_gpt":0.3380778312754651,"score_spread":0.23546311690484714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7036986007","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17140792,0.005119581,0.07490064,0.0056181545,0.034327798,0.010491688,0.004960522,0.0045439564,0.68862975],"genre_scores_gemma":[0.23130754,0.0009328832,0.0040538586,0.00018270384,0.0016765088,0.00089034706,0.006204419,0.00036280954,0.7543889],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959722,0.000102813996,0.00087876373,0.0007783294,0.0020179797,0.00024988668],"domain_scores_gemma":[0.99763525,0.00060679397,0.00029555577,0.00036746103,0.0010016297,0.00009329853],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009807904,0.00041548364,0.00044080394,0.0003416942,0.0001607293,0.00016800922,0.00007058313,0.00047310014,0.00067218137],"category_scores_gemma":[0.0020734328,0.0003514392,0.00013083125,0.00027647475,0.000074948504,0.00020478488,0.00014663907,0.0004891173,0.00012853142],"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":[0.00011250989,0.0004925065,0.0006668705,0.0033395397,0.0007193863,0.000011720516,0.0003691088,0.000019633671,0.0014293616,0.05847955,0.9317207,0.0026391617],"study_design_scores_gemma":[0.0020911836,0.00067373726,0.001065679,0.0016601597,0.0018439756,0.0008350148,0.0018590938,0.0031107436,0.0031045764,0.63951045,0.3414703,0.002775102],"about_ca_topic_score_codex":0.00030782277,"about_ca_topic_score_gemma":0.000100139034,"teacher_disagreement_score":0.5902504,"about_ca_system_score_codex":0.0009027003,"about_ca_system_score_gemma":0.0008087236,"threshold_uncertainty_score":0.9998938},"labels":[],"label_agreement":null},{"id":"W7115599861","doi":"10.1515/crelle-2025-0091","title":"Pogorelov type interior 𝐶 <sup>2</sup> estimate for Hessian quotient equation and its application","year":2025,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Functional Equations Stability Results","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Hessian matrix; Hessian equation; Type (biology); Viscosity; Regular polygon","score_opus":0.04390437445012049,"score_gpt":0.35772418229077824,"score_spread":0.31381980784065777,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7115599861","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":[0.32243302,0.011058409,0.6477404,0.011423158,0.0010076769,0.002453761,0.000101259626,0.0002069407,0.0035753537],"genre_scores_gemma":[0.8695621,0.003990312,0.114962466,0.0004542361,0.001601691,0.00021903611,0.00008138083,0.00023954963,0.0088892495],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967129,0.00018792629,0.0015687565,0.0004100852,0.0006163523,0.0005039375],"domain_scores_gemma":[0.9956576,0.00136812,0.0010494326,0.00038404306,0.0012412665,0.0002995282],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0022255885,0.0004399416,0.0006908143,0.00061350496,0.0010036338,0.00049319706,0.0003849414,0.00021370816,0.00008997596],"category_scores_gemma":[0.003746432,0.00035101507,0.0003080211,0.0004732697,0.000086306056,0.00055991183,0.00013480108,0.00069495133,0.000035411795],"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":[0.0057678204,0.0037848658,0.00090527465,0.009640261,0.0057468605,0.00015950097,0.019107686,0.015427496,0.030246427,0.7328793,0.048182875,0.12815168],"study_design_scores_gemma":[0.0036628505,0.00067119475,0.00009548727,0.0019158729,0.0008352865,0.00087579386,0.0013840435,0.15358388,0.0043147393,0.8033395,0.028689502,0.0006318829],"about_ca_topic_score_codex":0.00000378017,"about_ca_topic_score_gemma":0.000014695551,"teacher_disagreement_score":0.54712903,"about_ca_system_score_codex":0.0004604597,"about_ca_system_score_gemma":0.00030449603,"threshold_uncertainty_score":0.9998942},"labels":[],"label_agreement":null},{"id":"W78791908","doi":"","title":"Sums of rational functions","year":2012,"lang":"en","type":"dissertation","venue":"Summit (Simon Fraser University)","topic":"Functional Equations Stability Results","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Computer science; Pure mathematics","score_opus":0.03221378892560125,"score_gpt":0.2563831986133373,"score_spread":0.22416940968773605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W78791908","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":[0.8264697,0.00016804556,0.0018971257,0.00011737574,0.0023342867,0.00084965106,0.0009636312,0.00023003214,0.16697012],"genre_scores_gemma":[0.7904626,0.00002470075,0.0013836586,0.000011997217,0.00027935172,0.0000062885674,0.0056536198,0.000071782,0.202106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9982501,0.00011560074,0.00042064456,0.00037484436,0.00056853273,0.00027025724],"domain_scores_gemma":[0.9975924,0.0006616194,0.00044283856,0.00051903306,0.0006503281,0.00013378753],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002185591,0.00030082502,0.00040683852,0.0006709343,0.00021419117,0.000015269465,0.0003192,0.0004214069,0.0020359035],"category_scores_gemma":[0.00046471378,0.00035212768,0.00030116862,0.0008232762,0.00008592913,0.0003613678,0.0000418562,0.00038171656,0.00020611209],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002962931,0.002571612,0.20353907,0.0025721581,0.001747282,0.000034878427,0.0006686755,0.0002672171,0.0003709783,0.4802726,0.30163142,0.0033611748],"study_design_scores_gemma":[0.005727301,0.00048340418,0.028614411,0.00073479844,0.0034448628,4.5026404e-8,0.10136046,0.00030016783,0.0079116775,0.05700432,0.79165506,0.0027634653],"about_ca_topic_score_codex":0.00015907912,"about_ca_topic_score_gemma":0.074461535,"teacher_disagreement_score":0.49002364,"about_ca_system_score_codex":0.00028041026,"about_ca_system_score_gemma":0.00039217295,"threshold_uncertainty_score":0.99989307},"labels":[],"label_agreement":null},{"id":"W82126973","doi":"10.1007/978-1-4757-5288-5_19","title":"A Generalization of D’Alembert’s Functional Equation","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Generalization; Mathematics; Abelian group; Exponential function; Pure mathematics; Functional equation; Domain (mathematical analysis); Mathematical analysis; Differential equation","score_opus":0.17359917983891499,"score_gpt":0.2802815732764389,"score_spread":0.10668239343752389,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W82126973","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00004733426,0.00005621507,0.08165604,0.00020038831,0.0003260729,0.00042910592,0.00009354665,0.00011332589,0.91707796],"genre_scores_gemma":[0.002622499,0.0000369574,0.010826858,0.00005679974,0.0002929925,0.000023629005,0.00053180946,0.00007380037,0.98553467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99790263,0.000025093826,0.0008168024,0.0003539939,0.0007717997,0.00012965078],"domain_scores_gemma":[0.9977217,0.00058795203,0.000500821,0.0004821996,0.0006538736,0.00005346014],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00025415746,0.00027868102,0.0003720194,0.0002540617,0.000064581356,0.000014694273,0.00010335939,0.00036336656,0.022571098],"category_scores_gemma":[0.00050069345,0.00027030578,0.00022163063,0.000061411476,0.00008200956,0.00011141627,0.000045749115,0.00017684672,0.00038253696],"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":[0.00002580177,0.00006406737,0.000008774041,0.00013287007,0.00008611683,4.487467e-7,0.000042066433,0.00028190707,0.000041315758,0.96366495,0.035054557,0.0005971009],"study_design_scores_gemma":[0.00046332253,0.000080293416,0.000033718807,0.00010176671,0.00015679738,0.000008093833,0.000004890065,0.0075262017,0.00011471881,0.9409294,0.050252512,0.00032827925],"about_ca_topic_score_codex":0.00001388659,"about_ca_topic_score_gemma":0.000042208732,"teacher_disagreement_score":0.07082918,"about_ca_system_score_codex":0.00018934345,"about_ca_system_score_gemma":0.00009556648,"threshold_uncertainty_score":0.9999749},"labels":[],"label_agreement":null},{"id":"W947494468","doi":"10.1017/cbo9780511566196.005","title":"Entire functions of exponential type","year":2010,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Functional Equations Stability Results","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":"McGill University","funders":"","keywords":"Exponential function; Computer science; Content (measure theory); Exponential type; Type (biology); Mathematics; Geology; Mathematical analysis","score_opus":0.05300552478798831,"score_gpt":0.235789423747763,"score_spread":0.18278389895977468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W947494468","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016537692,0.000021792803,0.0012830268,0.000013847883,0.00088960375,0.00043254986,0.0006914501,0.000125643,0.9948883],"genre_scores_gemma":[0.0031178945,0.000010098793,0.0010422459,0.0000067421,0.00016524974,7.5995814e-7,0.00014666189,0.000050090883,0.9954603],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9986597,0.00003594308,0.00032154875,0.00040362336,0.00039743158,0.00018178283],"domain_scores_gemma":[0.99778664,0.00031596524,0.00036686278,0.0008068136,0.0006106904,0.000113016096],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00014410901,0.00029068935,0.00040918018,0.00021742455,0.00018025213,0.000015829357,0.00034085198,0.0005142143,0.00009620687],"category_scores_gemma":[0.00015729539,0.0003475573,0.00028657852,0.000015559082,0.0003545874,0.00007169702,0.0002558788,0.0006211448,0.000043401207],"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":[0.00021800425,0.000044434106,0.0000015489645,0.00016977568,0.00019031807,0.000016829685,0.000039468625,0.000001089122,0.0011090039,0.97783303,0.02014312,0.0002333924],"study_design_scores_gemma":[0.0006802329,0.00010212125,0.000011708404,0.000120902616,0.0005551432,0.000012522918,0.000037981903,0.000027708584,0.0013004977,0.0010771204,0.9956892,0.00038483075],"about_ca_topic_score_codex":0.00007469395,"about_ca_topic_score_gemma":0.000014337686,"teacher_disagreement_score":0.9767559,"about_ca_system_score_codex":0.00012893364,"about_ca_system_score_gemma":0.00021442151,"threshold_uncertainty_score":0.99989766},"labels":[],"label_agreement":null}]}