{"meta":{"query_hash":"4c754136a811","filters":{"venue":"Aequationes Mathematicae"},"cohort_total":36,"direct_labels_cover":0,"predictions_cover":36,"exported":36,"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/4c754136a811","api":"https://metacan.xera.ac/api/v1/cohort?venue=Aequationes+Mathematicae"},"results":[{"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":"W1964868929","doi":"10.1007/s00010-003-2675-9","title":"Linearizable interval maps","year":2003,"lang":"es","type":"article","venue":"Aequationes Mathematicae","topic":"Stability and Controllability of Differential Equations","field":"Engineering","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 Guelph","funders":"","keywords":"Mathematics; Differentiable function; Combinatorics; Orientation (vector space); Interval (graph theory); Bounded function; Reversing; Square (algebra); Sequence (biology); Mathematical analysis; Geometry","score_opus":0.019275059701658336,"score_gpt":0.24070863914181828,"score_spread":0.22143357944015996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964868929","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":[0.13856517,0.0013778793,0.7235288,0.0018275392,0.0015651315,0.0016705204,0.00012516468,0.0007169259,0.13062288],"genre_scores_gemma":[0.9881348,0.000055658944,0.010430927,0.00005958872,0.00011401726,0.0001032842,0.00004107879,0.0000617287,0.0009989131],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977539,0.00020450231,0.0008245582,0.00035963263,0.00041016776,0.00044724284],"domain_scores_gemma":[0.9980223,0.00080268417,0.00012622638,0.0007176606,0.00017597152,0.00015516568],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006892755,0.00035455177,0.0005308196,0.00013652451,0.00020728348,0.0002958767,0.00024866257,0.00016193175,0.0033468073],"category_scores_gemma":[0.0018021903,0.00036883692,0.00025419903,0.0003635246,0.000117163334,0.00030338438,0.000036819598,0.00025669852,0.002978667],"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":[0.000014369125,0.000521906,0.0003620147,0.0009683633,0.00022603307,0.0000017243592,0.0010635912,0.0016942645,0.00083473785,0.99031323,0.00033604584,0.0036636915],"study_design_scores_gemma":[0.0028429735,0.00026008033,0.002182283,0.00068644626,0.00069900445,0.000026839654,0.0012956065,0.19704294,0.0049600312,0.75065607,0.03782717,0.0015205557],"about_ca_topic_score_codex":0.000018671102,"about_ca_topic_score_gemma":0.000012986378,"teacher_disagreement_score":0.8495696,"about_ca_system_score_codex":0.000116593445,"about_ca_system_score_gemma":0.00008800606,"threshold_uncertainty_score":0.9998764},"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":"W1976078904","doi":"10.1007/s00010-003-2708-4","title":"Characteristic solutions of polynomial-like iterative equations","year":2004,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":47,"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; Polynomial; Applied mathematics; Iterative method; Matrix polynomial; Mathematical analysis; Algebra over a field; Mathematical optimization; Pure mathematics","score_opus":0.09902356729149181,"score_gpt":0.32920683210450896,"score_spread":0.23018326481301715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976078904","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":[0.052637227,0.000042043233,0.94139904,0.0014849197,0.00040491033,0.00074143615,0.00013260316,0.00021006608,0.0029477393],"genre_scores_gemma":[0.93756086,0.000006363709,0.06119432,0.000060344046,0.000112643604,0.00024242733,0.00012991329,0.000045935973,0.0006471806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975724,0.000114365794,0.001044724,0.00031391133,0.00058180967,0.0003727697],"domain_scores_gemma":[0.99614894,0.0020233148,0.0005949127,0.0006146055,0.0004982037,0.00012003036],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00045838606,0.000274368,0.0004514984,0.00036675332,0.0004655716,0.000058569643,0.00026963736,0.00012633576,0.0006822367],"category_scores_gemma":[0.0033166974,0.0002704727,0.00022482492,0.00062634866,0.00022895375,0.00051303237,0.00008663654,0.00018881823,0.0005539112],"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":[0.000013996583,0.0008456764,0.000010297578,0.000097235905,0.00011795062,0.0000010526592,0.0019085204,0.0002942199,0.0046338174,0.9913291,0.000523322,0.0002248378],"study_design_scores_gemma":[0.001097656,0.00010952895,0.001799705,0.0002972428,0.0002893351,0.000020697731,0.0005906981,0.0044389535,0.0015697875,0.989192,0.00017187915,0.00042252638],"about_ca_topic_score_codex":0.000059211292,"about_ca_topic_score_gemma":0.00008146646,"teacher_disagreement_score":0.88492364,"about_ca_system_score_codex":0.00023928192,"about_ca_system_score_gemma":0.0002741238,"threshold_uncertainty_score":0.9999747},"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":"W1981831571","doi":"10.1007/s000100050175","title":"On a cosine functional equation for operators on the algebra of analytic functions in a domain","year":2001,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Algebraic and Geometric Analysis","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; Functional equation; Analytic function; Characterization (materials science); Algebra over a field; Trigonometric functions; Domain (mathematical analysis); Set (abstract data type); Pure mathematics; Discrete mathematics; Mathematical analysis; Differential equation","score_opus":0.09227486120051887,"score_gpt":0.3044930369215858,"score_spread":0.21221817572106694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1981831571","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":[0.39903742,0.000015938049,0.5950412,0.0022164313,0.000048846487,0.00072778715,0.000012867576,0.00003496967,0.0028645117],"genre_scores_gemma":[0.993675,0.0000043068635,0.0038855397,0.00027131944,0.00006459105,0.00034792675,0.00004230198,0.000027723128,0.0016813211],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812526,0.00010984252,0.00072160916,0.0002665899,0.0005496604,0.00022701792],"domain_scores_gemma":[0.9926729,0.006276685,0.00032887005,0.0004613914,0.00021261227,0.000047518653],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013599773,0.00020051634,0.00038927112,0.0005606394,0.00018489202,0.000030080506,0.00016771026,0.00008622164,0.0011155852],"category_scores_gemma":[0.0038260785,0.00013475788,0.00020450121,0.001742885,0.00007768709,0.000106072526,0.000021932861,0.00012314253,0.00017327389],"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":[0.000108241424,0.00056691223,0.00020665282,0.000054814023,0.00013049442,7.621496e-7,0.00044174495,0.00080314407,0.000031206368,0.99441916,0.0028103986,0.00042648448],"study_design_scores_gemma":[0.0008303143,0.00022295043,0.0008859811,0.0001359848,0.00014324326,0.0000037821806,0.001164365,0.027350735,0.00008956529,0.96886015,0.00014194247,0.00017099587],"about_ca_topic_score_codex":0.000010026137,"about_ca_topic_score_gemma":0.000028827366,"teacher_disagreement_score":0.5946375,"about_ca_system_score_codex":0.000106872416,"about_ca_system_score_gemma":0.000060633334,"threshold_uncertainty_score":0.9997975},"labels":[],"label_agreement":null},{"id":"W1996241437","doi":"10.1007/s00010-012-0174-6","title":"Kernel of the second order Cauchy difference on groups","year":2012,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":11,"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; Kernel (algebra); Cauchy distribution; Order (exchange); Pure mathematics; Statistics","score_opus":0.05445348086836275,"score_gpt":0.29130909157223484,"score_spread":0.2368556107038721,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996241437","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":[0.9723676,0.000045702905,0.0097911125,0.00023166923,0.00022488633,0.00037688008,0.000015296153,0.00004971276,0.016897142],"genre_scores_gemma":[0.99120927,0.0000017917151,0.0029802222,0.00022634858,0.000088985376,0.00004458494,0.0000020591162,0.000030073435,0.00541667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868065,0.00014572337,0.00041611993,0.0001327185,0.00036649834,0.00025831096],"domain_scores_gemma":[0.99786735,0.0010781605,0.00023687449,0.00064154126,0.00010414049,0.00007192759],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00065516675,0.00017337433,0.0002839337,0.000042033513,0.00012004828,0.0000151916365,0.0003030862,0.00008587379,0.0016256968],"category_scores_gemma":[0.00095421076,0.000104293424,0.00009257377,0.00021928322,0.00012759662,0.00010393244,0.00007740212,0.00014693009,0.0002944221],"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":[0.000009323712,0.0003542888,0.00089856534,0.00019690143,0.00003400076,2.2484261e-7,0.0032461835,8.100917e-7,0.0012275325,0.9930887,0.00071731146,0.00022615101],"study_design_scores_gemma":[0.0005563764,0.00006120965,0.010741918,0.00023356634,0.00009559056,0.000019515075,0.0010185557,0.00038392036,0.018677495,0.9673229,0.0005580174,0.00033095953],"about_ca_topic_score_codex":0.0000018350331,"about_ca_topic_score_gemma":0.0000078472885,"teacher_disagreement_score":0.025765833,"about_ca_system_score_codex":0.000028011898,"about_ca_system_score_gemma":0.00003089795,"threshold_uncertainty_score":0.99928695},"labels":[],"label_agreement":null},{"id":"W1996518875","doi":"10.1007/s00010-012-0148-8","title":"Addition theorems for the Appell polynomials and the associated classes of polynomial expansions","year":2012,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":32,"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; Difference polynomials; Orthogonal polynomials; Classical orthogonal polynomials; Wilson polynomials; Discrete orthogonal polynomials; Bernoulli polynomials; Laguerre polynomials; Hahn polynomials; Jacobi polynomials; Polynomial; Hermite polynomials; Pure mathematics; Combinatorics; Gegenbauer polynomials; Discrete mathematics; Mathematical analysis","score_opus":0.06779771979405362,"score_gpt":0.33733936366497724,"score_spread":0.2695416438709236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996518875","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":[0.18577465,0.0022519252,0.78641975,0.006268392,0.0009313053,0.0077823796,0.00033992043,0.00038255745,0.009849122],"genre_scores_gemma":[0.9808593,0.000071907685,0.016497012,0.00009144721,0.00024132952,0.0005866321,0.000017188484,0.00005648265,0.0015787377],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99806565,0.00020844484,0.00080503355,0.00016043834,0.00038591804,0.00037451126],"domain_scores_gemma":[0.97331834,0.025271624,0.00065018056,0.00050822494,0.00018125633,0.00007038147],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0024410582,0.00023232086,0.0005437513,0.00006781603,0.00039254545,0.000062735795,0.0002925891,0.00010686271,0.0001918316],"category_scores_gemma":[0.010896254,0.0001237175,0.00020539989,0.00017951909,0.0007168191,0.00036947906,0.00011172433,0.00012637881,0.000030085239],"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":[0.000069613016,0.0002290734,0.000016217196,0.0002220219,0.00015786244,5.0619768e-8,0.0042902413,0.0000036663305,0.00040351984,0.9894534,0.0048358995,0.00031845714],"study_design_scores_gemma":[0.0013493809,0.00003177161,0.00015580033,0.00014495675,0.00045612224,0.000008304832,0.003894445,0.0024329715,0.0021245985,0.9889062,0.00031871782,0.00017670607],"about_ca_topic_score_codex":0.000009898069,"about_ca_topic_score_gemma":0.000014189599,"teacher_disagreement_score":0.7950846,"about_ca_system_score_codex":0.00003910182,"about_ca_system_score_gemma":0.000032785458,"threshold_uncertainty_score":0.9974354},"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":"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":"W2016287304","doi":"10.1007/s00010-010-0052-z","title":"Tribute to a Distinguished Professor János Aczél at 85","year":2010,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Hungarian Social, Economic and Educational Studies","field":"Social Sciences","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":"Tribute; Mathematics; Mathematical economics; Art history; Art","score_opus":0.0370021400403004,"score_gpt":0.36133589088896173,"score_spread":0.32433375084866134,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016287304","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":[0.75183064,0.000020799314,0.0012813292,0.12598035,0.0018341065,0.0010750816,0.000024396033,0.00018748388,0.11776584],"genre_scores_gemma":[0.9299207,0.000005241537,0.0044605155,0.00046901545,0.0010608435,0.00028975186,0.000015919019,0.000016567112,0.06376146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99881536,0.00007356159,0.00031835376,0.0002184256,0.00025826108,0.00031601888],"domain_scores_gemma":[0.9986709,0.00063746487,0.00015007159,0.0001963661,0.00017549783,0.00016970262],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0010408395,0.00011169986,0.00021277173,0.00004400944,0.0012955603,0.00008448754,0.00025228297,0.00008594262,0.0019592412],"category_scores_gemma":[0.0046324646,0.00010772274,0.00006848182,0.00020374244,0.00023330965,0.00012492815,0.00008417168,0.000109969755,0.0030274957],"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":[0.000012596796,0.0001594957,0.0019584433,0.000028793696,0.00005115367,6.423328e-7,0.10797924,5.403672e-7,0.00022870219,0.7939434,0.09301503,0.002621936],"study_design_scores_gemma":[0.00033109888,0.000023247976,0.013310936,0.000037349793,0.00005220104,0.0000012647399,0.021154568,0.000035217796,0.00016546797,0.24670331,0.71775585,0.00042948942],"about_ca_topic_score_codex":0.0002156243,"about_ca_topic_score_gemma":0.005047592,"teacher_disagreement_score":0.62474084,"about_ca_system_score_codex":0.00014462414,"about_ca_system_score_gemma":0.00019180776,"threshold_uncertainty_score":0.9989531},"labels":[],"label_agreement":null},{"id":"W2020610947","doi":"10.1007/s00010-004-2750-x","title":"On integer sequences whose first iterates are linear","year":2005,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"semigroups and automata theory","field":"Computer Science","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; Iterated function; Sequence (biology); Lexicographical order; Integer (computer science); Integer sequence; Combinatorics; Discrete mathematics; Thue equation; Diophantine equation; Mathematical analysis; Diophantine set; Generating function; Computer science","score_opus":0.019160827690642,"score_gpt":0.25219457347890717,"score_spread":0.23303374578826516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2020610947","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":[0.11263698,0.0001919552,0.86569,0.014634001,0.0002537667,0.00030565608,0.0000069686466,0.0006370426,0.005643633],"genre_scores_gemma":[0.94302326,0.000010797807,0.054923337,0.0011635672,0.00013845105,0.000041793766,0.000005306551,0.000013101999,0.0006803685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99885845,0.00004596591,0.00030077642,0.00029092754,0.0002933624,0.00021052791],"domain_scores_gemma":[0.99847853,0.00066867215,0.00016275496,0.0005505779,0.00007412161,0.000065333305],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00037398038,0.00016133605,0.0001836165,0.0001021697,0.00016581097,0.00019649425,0.00062901585,0.000050377825,0.00022560987],"category_scores_gemma":[0.00026386627,0.00012273784,0.000064539876,0.00026188817,0.00004613459,0.00066380715,0.00009804679,0.00009273799,0.002492778],"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":[0.0000033873268,0.00017133483,0.000037507096,0.000045082077,0.000016026339,0.000006207154,0.0023414188,0.0008092044,0.00013856075,0.9872288,0.0017205415,0.007481932],"study_design_scores_gemma":[0.0002782588,0.0000788335,0.00027932823,0.00035362254,0.000009511796,0.000024616054,0.00017514563,0.66218257,0.0036889128,0.32867247,0.0039062146,0.0003505015],"about_ca_topic_score_codex":0.0000031782274,"about_ca_topic_score_gemma":0.00000897694,"teacher_disagreement_score":0.8303863,"about_ca_system_score_codex":0.00003551477,"about_ca_system_score_gemma":0.00001918457,"threshold_uncertainty_score":0.9982839},"labels":[],"label_agreement":null},{"id":"W2022709100","doi":"10.1007/s00010-003-2720-8","title":"Obituary. William T. Tutte (May 14th, 1917 - May 2nd, 2002)","year":2003,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Academic and Historical Perspectives in Psychology","field":"Psychology","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":"Obituary; Mathematics; Humanities; Theology; Philosophy","score_opus":0.040407696510957096,"score_gpt":0.34486579678461304,"score_spread":0.30445810027365594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022709100","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":[0.006684275,0.0015801749,0.07488852,0.0018433221,0.0025132059,0.0005472279,0.000014833466,0.00026161532,0.9116668],"genre_scores_gemma":[0.83016056,0.000083195155,0.011202023,0.002072065,0.000505614,0.00028793653,0.000020508578,0.00010939775,0.15555869],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.997388,0.00031051718,0.00069754984,0.00065714394,0.0003520869,0.00059467665],"domain_scores_gemma":[0.9979365,0.0006266303,0.0002992398,0.00085325557,0.00010371349,0.00018066395],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00067358185,0.0003287151,0.00047413277,0.00018928469,0.0002595747,0.000025290045,0.00041936964,0.00039414252,0.026159547],"category_scores_gemma":[0.00056191353,0.0003022259,0.00017207455,0.00043279672,0.0003563179,0.00017060016,0.000037707585,0.0005022848,0.02034123],"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":[0.00002646224,0.00049252826,0.00033657654,0.00002286341,0.00010629364,0.0000150324795,0.0049822954,0.0000040214177,0.00007335462,0.8414733,0.15117623,0.0012910496],"study_design_scores_gemma":[0.0013854575,0.00022959843,0.0023961249,0.00004443374,0.00013207407,0.00022899217,0.0022971705,0.000045591565,0.00006047649,0.27925977,0.7132306,0.00068972446],"about_ca_topic_score_codex":0.000022778508,"about_ca_topic_score_gemma":0.0000041161506,"teacher_disagreement_score":0.8234763,"about_ca_system_score_codex":0.0001762728,"about_ca_system_score_gemma":0.00004167061,"threshold_uncertainty_score":0.99994296},"labels":[],"label_agreement":null},{"id":"W2028483249","doi":"10.1007/s00010-005-2800-z","title":"The partition dimension of Cayley digraphs","year":2006,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":45,"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 Winnipeg","funders":"","keywords":"Combinatorics; Mathematics; Partition (number theory); Cayley graph; Vertex (graph theory); Metric dimension; Conjecture; Dimension (graph theory); Discrete mathematics; Abelian group; Graph; Chordal graph","score_opus":0.00950302882682094,"score_gpt":0.2121605023997894,"score_spread":0.20265747357296846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028483249","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":[0.35444862,0.0008082948,0.6330347,0.0036679537,0.00041592584,0.00045516397,0.000001973598,0.00034420905,0.0068231355],"genre_scores_gemma":[0.98191553,0.0000122147,0.017811144,0.000038150407,0.000005378034,0.000021826625,0.0000034409347,0.0000052048895,0.00018710943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99896145,0.000051958166,0.00037033344,0.00015739315,0.00030844082,0.00015042983],"domain_scores_gemma":[0.9987899,0.00035349655,0.00018982716,0.00049735163,0.00014364494,0.000025790257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005112329,0.000082186125,0.00010935472,0.000059620572,0.00022398833,0.00006796053,0.00027832942,0.000030308067,0.000005609211],"category_scores_gemma":[0.00007946594,0.000052442712,0.00006207533,0.00034769266,0.000078422796,0.00018420715,0.000059921294,0.000040841773,0.00007415712],"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":[0.0000013894263,0.00005822479,0.000088781926,0.000012700909,0.0000049233017,3.4577653e-7,0.0001167775,0.00015331553,0.0036029257,0.99392134,0.0007770266,0.0012622764],"study_design_scores_gemma":[0.00014061293,0.00002845828,0.0009953085,0.000036216432,0.000008135782,0.0000040061036,0.000020263342,0.029012823,0.009825822,0.95958817,0.00026113662,0.00007906102],"about_ca_topic_score_codex":0.000044000055,"about_ca_topic_score_gemma":0.000015702479,"teacher_disagreement_score":0.6274669,"about_ca_system_score_codex":0.0000061234887,"about_ca_system_score_gemma":0.000017323026,"threshold_uncertainty_score":0.21385516},"labels":[],"label_agreement":null},{"id":"W2032127359","doi":"10.1007/s00010-006-2856-4","title":"On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product","year":2007,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":18,"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; Inverse; Combinatorics; Norm (philosophy); Order (exchange); Matrix (chemical analysis); Moore–Penrose pseudoinverse; Product (mathematics); Law; Geometry","score_opus":0.020157415282389537,"score_gpt":0.2841322680031145,"score_spread":0.26397485272072496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032127359","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":[0.07592845,0.00012208271,0.91930187,0.0010671559,0.00029603622,0.0008953052,0.000014565831,0.00013849071,0.0022360717],"genre_scores_gemma":[0.72799146,0.000015980322,0.26956487,0.00022654365,0.00013414735,0.000054916196,0.000007756389,0.000025984551,0.0019783292],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852747,0.00004511853,0.00045719868,0.0003703126,0.00032038725,0.00027950463],"domain_scores_gemma":[0.9977017,0.0012170697,0.00026331795,0.00052116835,0.00021236677,0.00008434372],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011151223,0.0001910225,0.0002945673,0.00018250111,0.00014453776,0.0000617636,0.00036881614,0.00005502404,0.00004737832],"category_scores_gemma":[0.0007702617,0.00016168247,0.000082093495,0.00036213498,0.00009704815,0.00039151363,0.0000923744,0.00006697084,0.000062019244],"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":[0.00006456718,0.00020321437,0.00002553737,0.0004951051,0.000036790218,0.0000034525249,0.0016184583,0.000036430192,0.0012245725,0.9870269,0.0010238911,0.008241101],"study_design_scores_gemma":[0.0024042227,0.000851167,0.0003409189,0.0004537516,0.00012344598,0.00006325509,0.0016849672,0.0848672,0.045818705,0.8581816,0.0043065916,0.00090415194],"about_ca_topic_score_codex":0.000009242494,"about_ca_topic_score_gemma":0.000008920183,"teacher_disagreement_score":0.652063,"about_ca_system_score_codex":0.000019243169,"about_ca_system_score_gemma":0.0000480715,"threshold_uncertainty_score":0.65932196},"labels":[],"label_agreement":null},{"id":"W2051696423","doi":"10.1007/s00010-008-2931-0","title":"On the utility of gambling: extending the approach of Meginniss (1976)","year":2008,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Gambling Behavior and Treatments","field":"Psychology","cited_by":11,"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; University of Waterloo","funders":"","keywords":"Mathematics; Mathematical economics","score_opus":0.3954369412777804,"score_gpt":0.41460707243129435,"score_spread":0.01917013115351396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051696423","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":[0.9571233,0.00008878173,0.006702021,0.00026200505,0.00012393086,0.00046099655,0.00000874651,0.00002992642,0.035200335],"genre_scores_gemma":[0.99836487,0.0000052904657,0.0008192036,0.000029488176,0.0000161611,0.000097084325,0.0000070253823,0.000015385991,0.00064549403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99874806,0.00016064533,0.000404245,0.00018200134,0.0003443102,0.00016071546],"domain_scores_gemma":[0.99779946,0.001048347,0.00028146294,0.00075779686,0.00008789269,0.000025043342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061199494,0.0001299426,0.00023583756,0.000064796484,0.00017937744,0.000006758433,0.00028462432,0.000057032128,0.00074534013],"category_scores_gemma":[0.00021891821,0.00006716224,0.00012085296,0.00026018373,0.00026034043,0.000035547957,0.000030051935,0.00010815545,0.00011019235],"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":[0.000105690524,0.0031887186,0.011816317,0.00009706532,0.00029797794,0.0000070587603,0.021916704,0.000016964197,0.00045492957,0.957603,0.001873132,0.0026224572],"study_design_scores_gemma":[0.003290295,0.0006331921,0.77350104,0.0002670837,0.00080560957,0.00026189262,0.0100079235,0.0071209907,0.011906768,0.19122069,0.0003219247,0.0006625752],"about_ca_topic_score_codex":0.00003487143,"about_ca_topic_score_gemma":6.7908275e-7,"teacher_disagreement_score":0.7663823,"about_ca_system_score_codex":0.000008827849,"about_ca_system_score_gemma":0.000018075798,"threshold_uncertainty_score":0.8160952},"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":"W2077647361","doi":"10.1007/s00010-014-0271-9","title":"Spindle starshaped sets","year":2014,"lang":"la","type":"article","venue":"Aequationes Mathematicae","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","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 Calgary","funders":"","keywords":"Normalization (sociology); Subfamily; Mathematics; Focus (optics); Chemistry","score_opus":0.02708654873179604,"score_gpt":0.26766858649611946,"score_spread":0.24058203776432344,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077647361","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":[0.038598962,0.00019579462,0.9488842,0.0026325977,0.00090529706,0.00041084504,0.0000069817047,0.0001721816,0.008193133],"genre_scores_gemma":[0.88659483,0.000017795264,0.109869055,0.00072097004,0.00037843946,0.000040311726,0.00005861304,0.00002676666,0.0022932193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9971817,0.00028154074,0.0007231835,0.0005921505,0.0008079761,0.0004134359],"domain_scores_gemma":[0.9975133,0.0008060592,0.0003688919,0.00077325717,0.00034880833,0.00018966518],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012808668,0.00031196862,0.00036840548,0.00024316582,0.00036649944,0.00047355174,0.00065733626,0.00013282262,0.0005655038],"category_scores_gemma":[0.0007090849,0.00031117507,0.00014322656,0.0008304112,0.00006912907,0.000722209,0.00021813033,0.0001640037,0.004164796],"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":[0.000009103598,0.00033536565,0.00003088853,0.0002253199,0.00005743378,0.000002632407,0.001997109,0.0037083286,0.0006908657,0.9001915,0.0021013962,0.09065007],"study_design_scores_gemma":[0.0004659895,0.00015614649,0.0015932618,0.000115047005,0.000043362536,0.000021252245,0.0000416521,0.8062567,0.0007521599,0.18295832,0.007218758,0.00037735884],"about_ca_topic_score_codex":0.000009920293,"about_ca_topic_score_gemma":0.000008517256,"teacher_disagreement_score":0.8479959,"about_ca_system_score_codex":0.00006161818,"about_ca_system_score_gemma":0.00014901921,"threshold_uncertainty_score":0.999934},"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":"W2083328210","doi":"10.1007/s00010-013-0198-6","title":"Dynamical system solutions for homogeneous linear functional equations of higher order","year":2013,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Mathematical Dynamics and Fractals","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":"Concordia University","funders":"","keywords":"Mathematics; Homogeneous; Dynamical systems theory; Functional equation; Class (philosophy); Order (exchange); Simple (philosophy); Dilation (metric space); Series (stratigraphy); Pure mathematics; Mathematical analysis; Combinatorics; Differential equation; Physics; Quantum mechanics","score_opus":0.08021817470989853,"score_gpt":0.30435167738483904,"score_spread":0.2241335026749405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083328210","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":[0.014591707,0.000036910427,0.9772164,0.000689849,0.00023111903,0.0017070768,0.000095072326,0.00020564275,0.0052262093],"genre_scores_gemma":[0.79608315,0.0000017436286,0.19920331,0.000041912263,0.00014336519,0.0011002999,0.00009893011,0.00007041042,0.0032568683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99748224,0.000069944275,0.0011510478,0.0003134283,0.00051778404,0.0004655401],"domain_scores_gemma":[0.99398816,0.003876099,0.00046977404,0.0005928636,0.0009326967,0.0001403992],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000641144,0.0002761282,0.0005780115,0.00016173424,0.00028708077,0.0000534292,0.00024601223,0.00018338762,0.0015452018],"category_scores_gemma":[0.0018695781,0.00023099221,0.00025810133,0.0003641433,0.00014634096,0.0002173196,0.00009271847,0.00011888508,0.0004894362],"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":[0.000008244322,0.0004502772,0.0000063478305,0.0009849368,0.000120491975,3.5428238e-7,0.00013628136,0.0001907782,0.000899796,0.9954272,0.0014469401,0.00032833475],"study_design_scores_gemma":[0.00037745739,0.00005116493,0.00008474685,0.00012113812,0.00013800722,0.0000093147055,0.00017871406,0.4480432,0.00006330167,0.55063224,0.00009756696,0.0002031377],"about_ca_topic_score_codex":0.000016599559,"about_ca_topic_score_gemma":0.000007957696,"teacher_disagreement_score":0.78149146,"about_ca_system_score_codex":0.00009491847,"about_ca_system_score_gemma":0.00008002487,"threshold_uncertainty_score":0.99936754},"labels":[],"label_agreement":null},{"id":"W2086178308","doi":"10.1007/s00010-004-2729-7","title":"Inset information measures on open domains","year":2004,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Topology and Set Theory","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; Disjoint sets; Additive function; Pairwise comparison; Property (philosophy); Combinatorics; Discrete mathematics; Branching (polymer chemistry); Statistics; Mathematical analysis","score_opus":0.08238242535084961,"score_gpt":0.3625709420253053,"score_spread":0.2801885166744557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086178308","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":[0.12277197,0.000018621402,0.76767373,0.0028997797,0.00026441086,0.0015144458,0.000029261711,0.00035506,0.10447272],"genre_scores_gemma":[0.9255043,0.000009077272,0.07274351,0.0010486821,0.000052724852,0.00016661719,0.000040157287,0.000026431599,0.0004084436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987075,0.00008164535,0.0004972199,0.00016064676,0.00031852562,0.0002344932],"domain_scores_gemma":[0.9983918,0.0006578518,0.00025918757,0.00051333953,0.000106241845,0.00007155313],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00075834285,0.00019097075,0.0002885827,0.00012834829,0.00027010916,0.00008944262,0.0004630488,0.00011473283,0.00023645196],"category_scores_gemma":[0.0018141425,0.00015781008,0.00006425929,0.00018773906,0.00010656095,0.00097421,0.00011168374,0.00015769328,0.0015676337],"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":[0.00005816628,0.00018187183,0.0000049406053,0.00004911461,0.00003199801,0.0000021177948,0.0021512015,0.00015809054,0.000039775292,0.9945628,0.00047811228,0.0022818218],"study_design_scores_gemma":[0.0010762204,0.00009592345,0.00008304472,0.0000922894,0.000027766722,0.00001877691,0.0004978403,0.000045979046,0.001340656,0.99455327,0.0019741068,0.00019411175],"about_ca_topic_score_codex":0.00000723087,"about_ca_topic_score_gemma":0.000018775228,"teacher_disagreement_score":0.8027324,"about_ca_system_score_codex":0.00009253519,"about_ca_system_score_gemma":0.00006830927,"threshold_uncertainty_score":0.99920976},"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":"W2091771439","doi":"10.1007/s00010-005-2774-x","title":"Evaluations of binomial series","year":2005,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Binomial coefficient; Combinatorics; Series (stratigraphy); Binomial (polynomial); Recursion (computer science); Algorithm; Statistics","score_opus":0.08443598403481739,"score_gpt":0.386079231913791,"score_spread":0.3016432478789736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091771439","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":[0.3365064,0.00026223823,0.5500445,0.004116619,0.00033191184,0.0020531178,0.000054248423,0.0007996132,0.105831385],"genre_scores_gemma":[0.6253553,0.000016116386,0.3655365,0.00003148324,0.00017535232,0.00013853994,0.000008477026,0.00005359055,0.008684635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99793965,0.0000724609,0.00093087176,0.00021281492,0.0005882884,0.00025594395],"domain_scores_gemma":[0.9973329,0.001301452,0.00041278536,0.00057881186,0.00029880396,0.00007529872],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000646892,0.0002098486,0.0004592955,0.00016300294,0.00011927919,0.000033994733,0.00026982825,0.000081387014,0.001404123],"category_scores_gemma":[0.0030895777,0.00018727791,0.0001441785,0.0002713563,0.00020251732,0.0006828898,0.00008563381,0.000099318844,0.00051267643],"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":[0.000012220919,0.00027476993,0.000012456834,0.00032423608,0.00004569111,4.7445255e-7,0.0014075055,0.000056116976,0.0019728218,0.9936091,0.0012703636,0.0010142776],"study_design_scores_gemma":[0.00035373663,0.000044968994,0.00005838371,0.000120464516,0.00010639557,0.000019106355,0.0004873461,0.0018334081,0.015183963,0.9810843,0.0005094696,0.00019844374],"about_ca_topic_score_codex":0.0000020164457,"about_ca_topic_score_gemma":0.00002198676,"teacher_disagreement_score":0.28884888,"about_ca_system_score_codex":0.00006433666,"about_ca_system_score_gemma":0.00006231452,"threshold_uncertainty_score":0.99950874},"labels":[],"label_agreement":null},{"id":"W2593910506","doi":"10.1007/s00010-017-0470-2","title":"Some fractional integral inequalities involving $$\\varvec{m}$$ m -convex functions","year":2017,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":6,"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":"Institute of Population and Public Health; King Saud University","keywords":"Mathematics; Convex function; Regular polygon; Pure mathematics; Inequality; Combinatorics; Mathematical analysis; Geometry","score_opus":0.1923569919774547,"score_gpt":0.3847032585559475,"score_spread":0.1923462665784928,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593910506","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":[0.23056695,0.00040974107,0.6652394,0.015840193,0.0015680204,0.0025344903,0.00029905883,0.0015050785,0.082037084],"genre_scores_gemma":[0.92947143,0.00004430528,0.042880606,0.00040648406,0.0012114344,0.0009067382,0.00006981969,0.000119601056,0.02488959],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709755,0.00010915016,0.0011218409,0.00045781548,0.00070863584,0.0005049878],"domain_scores_gemma":[0.994379,0.0024258285,0.00089169916,0.001775149,0.0003227417,0.00020562654],"candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011192015,0.00039773242,0.0006426592,0.0001582577,0.0017588455,0.00062608265,0.00080508244,0.00018662134,0.002176998],"category_scores_gemma":[0.005036609,0.0003428818,0.00028167278,0.00011465424,0.00035527922,0.0012509463,0.0001931437,0.00034774767,0.0013020725],"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":[0.000009021738,0.00030881425,0.000094693656,0.00034373818,0.00008888769,0.0000017792917,0.0009772585,0.0000026284965,0.0002432217,0.99046034,0.0070848293,0.0003847782],"study_design_scores_gemma":[0.00039269106,0.000035229128,0.00042408772,0.00020107397,0.00010454097,0.000018916971,0.0022108932,0.004070572,0.0004613117,0.98938245,0.0022749836,0.00042327715],"about_ca_topic_score_codex":0.00009542444,"about_ca_topic_score_gemma":0.00005193391,"teacher_disagreement_score":0.69890445,"about_ca_system_score_codex":0.000096352174,"about_ca_system_score_gemma":0.000094892544,"threshold_uncertainty_score":0.9999023},"labels":[],"label_agreement":null},{"id":"W2619876182","doi":"10.1007/s00010-017-0492-9","title":"P-proper splittings","year":2017,"lang":"la","type":"article","venue":"Aequationes Mathematicae","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":3,"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":"Natural Sciences and Engineering Research Council of Canada; University of Manitoba","keywords":"Mathematics; Generalization; Positive-definite matrix; Iterative method; Matrix (chemical analysis); Convergence (economics); Sylvester's law of inertia; Applied mathematics; Sylvester matrix; Sylvester equation; Combinatorics; Pure mathematics; Symmetric matrix; Mathematical analysis; Mathematical optimization; Eigenvalues and eigenvectors","score_opus":0.04377787255849006,"score_gpt":0.29666923961915986,"score_spread":0.2528913670606698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2619876182","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":[0.034127403,0.00039027454,0.83043045,0.011561019,0.002210648,0.0008728074,0.000015167703,0.00030458227,0.12008762],"genre_scores_gemma":[0.89936036,0.000044988818,0.07232127,0.00032322967,0.0006218216,0.000046400903,0.0000039369734,0.000042849228,0.027235117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99752295,0.00013668703,0.0006382557,0.00061340176,0.000582408,0.00050630706],"domain_scores_gemma":[0.9955107,0.00035817712,0.0008279339,0.002904373,0.00021677646,0.00018206934],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001732274,0.00033314066,0.0004314973,0.00008505113,0.0017632771,0.0022278943,0.0027188102,0.0001429426,0.0010059524],"category_scores_gemma":[0.0013047437,0.00028402783,0.00018743965,0.00011895,0.0003154997,0.0015794341,0.0008647295,0.00022876312,0.008191015],"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":[0.0000066951156,0.00019452316,0.000045826328,0.0002455536,0.000046773235,0.000022293703,0.0022495207,0.000007239201,0.00014969881,0.9519956,0.00066837727,0.044367895],"study_design_scores_gemma":[0.00086631766,0.00013773113,0.0023665263,0.0006634063,0.00010937352,0.00007361321,0.00019816347,0.25422874,0.0019694478,0.7299513,0.008557152,0.0008781918],"about_ca_topic_score_codex":0.000031020147,"about_ca_topic_score_gemma":0.000002601351,"teacher_disagreement_score":0.865233,"about_ca_system_score_codex":0.00003474305,"about_ca_system_score_gemma":0.00010377265,"threshold_uncertainty_score":0.9999612},"labels":[],"label_agreement":null},{"id":"W2907950634","doi":"10.1007/s00010-018-0631-y","title":"Almost t-complementary uniform hypergraphs","year":2019,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Topology and Set Theory","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 Winnipeg","funders":"","keywords":"Mathematics; Hypergraph; Combinatorics; Permutation (music); Vertex (graph theory); Partition (number theory); Base (topology); Discrete mathematics; Subsequence; Graph","score_opus":0.038735760794288324,"score_gpt":0.32167681327400643,"score_spread":0.2829410524797181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2907950634","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":[0.7835449,0.000084531464,0.088214695,0.0012923968,0.0005197651,0.001203502,0.000024669442,0.0004363184,0.12467923],"genre_scores_gemma":[0.9315201,0.00001005165,0.06288225,0.0004040354,0.00006204353,0.000051384563,0.000043123764,0.000045860303,0.004981171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986806,0.000068372065,0.00044529492,0.00025136065,0.0002527177,0.0003016909],"domain_scores_gemma":[0.99802333,0.0010809398,0.00018067697,0.00058276026,0.000067087414,0.00006522707],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004735218,0.00019816605,0.0003247274,0.000108663306,0.00013538053,0.00001637743,0.00026023536,0.00008272833,0.004797163],"category_scores_gemma":[0.00022625901,0.00016946855,0.00010623483,0.00019392815,0.00008855269,0.00024028536,0.00007344909,0.00013948292,0.0025331231],"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":[0.000020772406,0.00013099296,0.00041398522,0.00012253478,0.0000562874,0.0000027099134,0.0006944194,0.0000073080164,0.00043730947,0.996567,0.0008295921,0.0007170698],"study_design_scores_gemma":[0.00051151426,0.000058020087,0.00015545652,0.0000454144,0.000041577332,0.000027720936,0.0010793642,0.0006384837,0.0007925388,0.9945076,0.0019224841,0.00021981551],"about_ca_topic_score_codex":0.0000033154565,"about_ca_topic_score_gemma":0.000009045065,"teacher_disagreement_score":0.14797519,"about_ca_system_score_codex":0.00003465328,"about_ca_system_score_gemma":0.000023956662,"threshold_uncertainty_score":0.9982435},"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":"W3024498557","doi":"10.1007/s00010-020-00725-2","title":"In celebration of the life of Professor János Aczél","year":2020,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Healthcare, Law, Governance, and Management Studies","field":"Health Professions","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; Combinatorics; Calculus (dental); Mathematical economics; Medicine; Orthodontics","score_opus":0.11386289141044907,"score_gpt":0.402518751650659,"score_spread":0.2886558602402099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3024498557","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":[0.79639727,0.00028227307,0.015997553,0.15818882,0.0008662216,0.0054456266,0.00004476932,0.00008347471,0.022694023],"genre_scores_gemma":[0.99510026,0.000057698526,0.0005566143,0.0030730057,0.00009578574,0.00020555711,0.000002947059,0.000013235238,0.0008948923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99813455,0.00030466166,0.00088996754,0.00014172433,0.00033128518,0.00019781952],"domain_scores_gemma":[0.9980738,0.00055499224,0.0009154173,0.00025458203,0.00015218087,0.000049011862],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005511334,0.0000968655,0.00033584583,0.000036200363,0.00017552935,0.0000017692727,0.00019894783,0.00007251612,0.000190302],"category_scores_gemma":[0.0025880605,0.00006677294,0.000054570315,0.00037577745,0.0000651015,0.00013620601,0.00014177251,0.00014972332,0.00007086646],"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":[0.00007831852,0.00025370897,0.021886813,0.009512144,0.00007915081,5.7314656e-7,0.083520636,0.00002671366,0.0009256855,0.85335433,0.029732041,0.0006298919],"study_design_scores_gemma":[0.0106171295,0.0007807222,0.46584654,0.007953146,0.0005512871,6.5294876e-7,0.16356811,0.017099923,0.006394292,0.2617688,0.06402183,0.0013975705],"about_ca_topic_score_codex":0.000093113915,"about_ca_topic_score_gemma":0.00025200334,"teacher_disagreement_score":0.5915855,"about_ca_system_score_codex":0.00002894938,"about_ca_system_score_gemma":0.00017574127,"threshold_uncertainty_score":0.3098337},"labels":[],"label_agreement":null},{"id":"W4206530579","doi":"10.1007/s000100300007","title":"Realizations of regular polytopes, II","year":2003,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Mathematics and Applications","field":"Mathematics","cited_by":13,"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 New Brunswick","funders":"","keywords":"Mathematics; Polytope; Combinatorics","score_opus":0.07595051361931979,"score_gpt":0.33343092494120347,"score_spread":0.2574804113218837,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206530579","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":[0.07798202,0.00013119576,0.7912849,0.0008419811,0.00009649908,0.0012808645,0.000036901638,0.00026734863,0.12807825],"genre_scores_gemma":[0.64502513,0.00002268156,0.3484294,0.00004871742,0.00002923867,0.0001937707,0.000019344516,0.00005833601,0.0061733737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982577,0.000081493425,0.0008172286,0.00022288684,0.00039614583,0.00022457798],"domain_scores_gemma":[0.9977248,0.00064782106,0.0004442152,0.00085663877,0.0002373007,0.00008922673],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076037634,0.0001883411,0.0003814306,0.00013327801,0.00025807682,0.000021870781,0.0002412444,0.0000915609,0.0008754682],"category_scores_gemma":[0.0019296709,0.00016743716,0.00012405385,0.000493688,0.00009240534,0.0001096874,0.000050280603,0.00007965097,0.00007639507],"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":[0.0000011892215,0.0004093255,0.00001727574,0.00021744684,0.000036208567,2.907634e-7,0.0008352164,0.0000071403138,0.0011507465,0.9887475,0.008405292,0.00017239862],"study_design_scores_gemma":[0.00025302713,0.000033647182,0.000018794117,0.000100428406,0.000089787616,0.000015470243,0.00028676473,0.0009524229,0.007995108,0.9789318,0.011127449,0.00019532106],"about_ca_topic_score_codex":0.000004737031,"about_ca_topic_score_gemma":0.000006069027,"teacher_disagreement_score":0.5670431,"about_ca_system_score_codex":0.000025096506,"about_ca_system_score_gemma":0.000056173674,"threshold_uncertainty_score":0.95857626},"labels":[],"label_agreement":null},{"id":"W4386923340","doi":"10.1007/s00010-023-00981-y","title":"Spatial graphoids","year":2023,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"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":"Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Modulo; Graph; Combinatorics; Degree (music); Discrete mathematics","score_opus":0.08290650839568346,"score_gpt":0.33750324050606095,"score_spread":0.2545967321103775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386923340","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":[0.71409386,0.00005962517,0.2483194,0.0033283387,0.00076832925,0.0007325775,0.000014713181,0.0019384952,0.030744638],"genre_scores_gemma":[0.9864301,0.00001620192,0.008225049,0.00008807254,0.00013801774,0.00008067048,0.000020470843,0.000036284284,0.0049651284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986418,0.000055610482,0.0004025747,0.00022217959,0.00034538913,0.00033248006],"domain_scores_gemma":[0.99793226,0.0013877423,0.00013588395,0.00039476278,0.00007211726,0.000077248405],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00059769367,0.00015378179,0.00027378436,0.00041986,0.00013826718,0.000028143442,0.0002169889,0.00009014527,0.0011943236],"category_scores_gemma":[0.0019008605,0.00013112708,0.00010790574,0.0012703897,0.00008138469,0.00008685915,0.000080161895,0.00009607494,0.004153302],"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":[0.0000043960617,0.00008670195,0.0002879711,0.0001034913,0.00004013527,0.00000932407,0.0006589077,0.0000021808587,0.00019424345,0.98095614,0.010409485,0.0072470433],"study_design_scores_gemma":[0.0002848676,0.00003683005,0.0017395448,0.000019194205,0.000033106164,0.000014803332,0.0003147471,0.0015745178,0.00045918472,0.99405193,0.0013027904,0.0001684696],"about_ca_topic_score_codex":0.00001765893,"about_ca_topic_score_gemma":0.000012595167,"teacher_disagreement_score":0.2723362,"about_ca_system_score_codex":0.000016544736,"about_ca_system_score_gemma":0.000026820175,"threshold_uncertainty_score":0.9997187},"labels":[],"label_agreement":null},{"id":"W4399917550","doi":"10.1007/s00010-024-01095-9","title":"Elephant polynomials","year":2024,"lang":"la","type":"article","venue":"Aequationes Mathematicae","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Agence Nationale de la Recherche; European Commission; European Research Council; Natural Sciences and Engineering Research Council of Canada; Centre Henri Lebesgue","keywords":"Mathematics; Orthogonal polynomials; Discrete orthogonal polynomials; Difference polynomials; Classical orthogonal polynomials; Wilson polynomials; Hahn polynomials; Combinatorics; Macdonald polynomials; Jacobi polynomials; Polynomial; Discrete mathematics; Gegenbauer polynomials; Mathematical analysis","score_opus":0.06424360637011588,"score_gpt":0.3735597067879071,"score_spread":0.30931610041779123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399917550","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":[0.0015160254,0.0055959695,0.9757452,0.0021199617,0.0016377044,0.0009857706,0.00026737785,0.00054969965,0.011582282],"genre_scores_gemma":[0.85758895,0.00048000747,0.12355481,0.00036751517,0.001488818,0.00032348736,0.000084828345,0.0003548815,0.015756685],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9959371,0.00011594329,0.0014632661,0.0007699021,0.0009279689,0.00078579504],"domain_scores_gemma":[0.99298996,0.0054680025,0.00024867716,0.00075775397,0.00022724998,0.00030834135],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001235626,0.00061027764,0.000887506,0.00026841403,0.00024147492,0.0007470555,0.0004780911,0.00032568892,0.00524385],"category_scores_gemma":[0.004403534,0.00052028423,0.0003087583,0.00072784774,0.00013512105,0.0003329001,0.00017838803,0.00041857618,0.01247207],"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":[0.000022505037,0.00027583828,2.2035316e-7,0.0056524435,0.00028657707,0.00008771265,0.0019353897,0.000005805462,0.00048044536,0.963129,0.012772716,0.015351337],"study_design_scores_gemma":[0.00025368747,0.00015114299,0.000002785654,0.001671527,0.0006547133,0.000101744045,0.00036736325,0.19563894,0.0006662625,0.7950191,0.0049336976,0.0005390626],"about_ca_topic_score_codex":0.000010606071,"about_ca_topic_score_gemma":0.0000066102343,"teacher_disagreement_score":0.85607296,"about_ca_system_score_codex":0.00016499421,"about_ca_system_score_gemma":0.00035698197,"threshold_uncertainty_score":0.99972486},"labels":[],"label_agreement":null},{"id":"W4402720152","doi":"10.1007/s00010-024-01120-x","title":"On the Li–Zheng theorem","year":2024,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Advanced Differential Equations and Dynamical Systems","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 Toronto","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.061347192558737766,"score_gpt":0.3326431967982183,"score_spread":0.2712960042394805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402720152","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":[0.047664747,0.0001137092,0.92194355,0.002554373,0.00037829642,0.00063983956,0.000010958708,0.00046276778,0.02623176],"genre_scores_gemma":[0.99295413,0.000005573432,0.0041727587,0.0001225909,0.0001475111,0.00017923821,0.000008005957,0.000046484667,0.0023637249],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857193,0.00011413826,0.00043040264,0.00024648715,0.00041975942,0.00021725435],"domain_scores_gemma":[0.99305755,0.0062511973,0.00008271188,0.0004966385,0.00005713607,0.000054777403],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00063171994,0.0001885095,0.00021138135,0.00008268672,0.00020751469,0.00018954868,0.0002256545,0.00006597089,0.0010586932],"category_scores_gemma":[0.0015203824,0.00010262605,0.00014203382,0.00031301624,0.000072528615,0.00013027704,0.000042356463,0.00017635452,0.0016471961],"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":[0.0000041776952,0.000072285366,6.879254e-7,0.00013611943,0.0000419486,0.0000023149078,0.0005627447,0.000029291707,0.00011247172,0.994506,0.001398484,0.003133462],"study_design_scores_gemma":[0.00006546401,0.000027501485,0.000007491764,0.00027339574,0.000038344744,0.0000060337165,0.00024006542,0.086352654,0.00010045339,0.91218406,0.0005752674,0.00012923835],"about_ca_topic_score_codex":0.000003597893,"about_ca_topic_score_gemma":0.0000061259248,"teacher_disagreement_score":0.9452894,"about_ca_system_score_codex":0.000051627136,"about_ca_system_score_gemma":0.000024587864,"threshold_uncertainty_score":0.99985445},"labels":[],"label_agreement":null},{"id":"W4409286962","doi":"10.1007/s00010-025-01156-7","title":"New recursive constructions of amoebas and their balancing number","year":2025,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Digital Image Processing Techniques","field":"Computer Science","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 Toronto","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics","score_opus":0.009137235952511563,"score_gpt":0.26443342868498465,"score_spread":0.25529619273247306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409286962","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":[0.0021445998,0.00006325265,0.96888924,0.0012948328,0.00005045287,0.00011032249,0.0000013840305,0.00017400166,0.027271938],"genre_scores_gemma":[0.45327523,0.0000059986696,0.5460215,0.00007921518,0.000008815881,0.000009570798,7.8760047e-7,0.0000037036841,0.0005951683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994222,0.00001666309,0.00022434686,0.00015751096,0.000087154025,0.00009210973],"domain_scores_gemma":[0.99918246,0.0002621248,0.000113066235,0.0002866247,0.00012398582,0.00003170707],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013406234,0.00008403247,0.00014820218,0.00010566656,0.00005595201,0.00012944758,0.00026474224,0.00002978035,0.000009025683],"category_scores_gemma":[0.00036282153,0.00007058542,0.000027395958,0.0004570299,0.00007599293,0.00055119186,0.00014842904,0.00004273758,0.000009275763],"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":[6.653855e-7,0.000016921416,0.00014879539,0.00006259238,0.00001196772,2.1077882e-7,0.0006678256,5.195472e-7,0.00036395722,0.9195523,0.0006542748,0.07851997],"study_design_scores_gemma":[0.00007717525,0.00000762944,0.00018654768,0.0002035666,0.000005093671,0.000015801288,0.00007328788,0.0035099424,0.020507233,0.9751883,0.00016040565,0.00006502456],"about_ca_topic_score_codex":0.000007362203,"about_ca_topic_score_gemma":0.0000017648254,"teacher_disagreement_score":0.45113066,"about_ca_system_score_codex":0.000018257237,"about_ca_system_score_gemma":0.00015616244,"threshold_uncertainty_score":0.287839},"labels":[],"label_agreement":null},{"id":"W4411081002","doi":"10.1007/s00010-025-01177-2","title":"On the minimal polynomials of the arguments of dilogarithm ladders","year":2025,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Polynomial and algebraic computation","field":"Computer Science","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":"Dalhousie University","funders":"Killam Trusts","keywords":"Mathematics; Combinatorics; Algebra over a field; Pure mathematics","score_opus":0.01611193566242591,"score_gpt":0.24776402278727974,"score_spread":0.23165208712485383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411081002","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":[0.5757446,0.000043041167,0.39639917,0.014291006,0.00050532835,0.0005946947,0.0000056139424,0.00004415892,0.0123723755],"genre_scores_gemma":[0.99629253,0.0000010205966,0.0028872483,0.00035304268,0.000009954482,0.000015987604,4.7752116e-7,0.0000025962916,0.0004371615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991135,0.000087419685,0.00033700047,0.00012537205,0.00023966249,0.00009702391],"domain_scores_gemma":[0.99817836,0.0010682556,0.00023219337,0.0004495536,0.000058646532,0.000012999265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034886558,0.00007891141,0.00014466286,0.000061433064,0.00009228021,0.000026345358,0.0006980051,0.000025872188,0.000026544265],"category_scores_gemma":[0.00036497012,0.000042790147,0.0000841347,0.00037414854,0.00008709624,0.00008670655,0.00017730104,0.00004991476,0.000017567108],"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":[0.0000044228564,0.00009047096,0.000041571566,0.000029312027,0.000029434663,6.789781e-8,0.0005471167,0.000075204145,0.0011047479,0.991563,0.0010912471,0.005423361],"study_design_scores_gemma":[0.00043090628,0.00006746877,0.008943286,0.0002597802,0.0000322521,0.0000012705888,0.00014047942,0.053099353,0.051418014,0.8853373,0.00015392526,0.00011598049],"about_ca_topic_score_codex":0.000012475073,"about_ca_topic_score_gemma":0.0000024488486,"teacher_disagreement_score":0.4205479,"about_ca_system_score_codex":0.000013800845,"about_ca_system_score_gemma":0.00007185921,"threshold_uncertainty_score":0.17449315},"labels":[],"label_agreement":null},{"id":"W4414399456","doi":"10.1007/s00010-025-01223-z","title":"Measuring movement of incomes and income mobility","year":2025,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Income, Poverty, and Inequality","field":"Social Sciences","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":"Axiom; Set (abstract data type); Movement (music); Regular polygon; Wish","score_opus":0.055593477548067434,"score_gpt":0.32737519266502596,"score_spread":0.27178171511695853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414399456","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":[0.9119961,0.00017614028,0.016287252,0.0012812228,0.00018946317,0.00047477928,0.000005542906,0.00006548857,0.06952396],"genre_scores_gemma":[0.9979036,0.00003463963,0.0011525829,0.00015026946,0.000025959058,0.00002766129,0.0000011940683,0.000003852497,0.0007002518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876225,0.00017412893,0.00040986994,0.00014928637,0.0003489604,0.00015551242],"domain_scores_gemma":[0.99892014,0.00051355513,0.00013533933,0.00023384664,0.00015354245,0.000043590175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001930825,0.00008301699,0.0002295931,0.00008747971,0.00025908442,0.00003079559,0.00015805004,0.000057151035,0.000079339006],"category_scores_gemma":[0.0011065889,0.000074331576,0.000047801423,0.00021043669,0.00022033499,0.00018242169,0.000080929145,0.00005382058,0.000011742683],"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":[0.000008715055,0.00015418143,0.038829748,0.0003545453,0.000031021078,1.4781733e-7,0.0086903265,0.0000050164454,0.00017338824,0.9493366,0.000036390382,0.0023799243],"study_design_scores_gemma":[0.00047339385,0.000026998305,0.12063171,0.00019094456,0.000040397448,9.627237e-8,0.0049646595,0.0010670647,0.0015002745,0.8701848,0.0007523004,0.0001673687],"about_ca_topic_score_codex":0.001143777,"about_ca_topic_score_gemma":0.00079617766,"teacher_disagreement_score":0.085907444,"about_ca_system_score_codex":0.000080256745,"about_ca_system_score_gemma":0.000100495665,"threshold_uncertainty_score":0.30311537},"labels":[],"label_agreement":null},{"id":"W4414573217","doi":"10.1007/s00010-025-01231-z","title":"A tribute to János Aczél","year":2025,"lang":"hu","type":"article","venue":"Aequationes Mathematicae","topic":"Multi-Criteria Decision Making","field":"Decision Sciences","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":"Tribute; History of mathematics; Calculus (dental); Functional equation","score_opus":0.1530637288271592,"score_gpt":0.5164967655968694,"score_spread":0.36343303676971017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414573217","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":[0.04336163,0.00050889986,0.88304037,0.047927998,0.0033026636,0.0022279825,0.00011300789,0.0002179607,0.019299502],"genre_scores_gemma":[0.7697392,0.000030448517,0.091765,0.004368393,0.00030483954,0.0002875241,0.000017541797,0.000073642346,0.13341342],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99118954,0.0006305232,0.0030352634,0.0014275105,0.0028586872,0.00085848704],"domain_scores_gemma":[0.9844117,0.010551563,0.00069248705,0.0026765834,0.0012660614,0.0004016004],"candidate_categories":["metaresearch","metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0067757764,0.00059276016,0.0012282662,0.0016696359,0.0006218729,0.0018644127,0.002484111,0.00031073592,0.0080768],"category_scores_gemma":[0.036947865,0.0004975823,0.00042593788,0.0045628874,0.0001665422,0.0007041346,0.0011256948,0.00032957207,0.036381863],"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":[0.00029600225,0.0009633574,0.0003249204,0.00030302952,0.00024645863,0.000047529407,0.009024553,0.000323274,0.0033777077,0.29185268,0.38231093,0.31092957],"study_design_scores_gemma":[0.0018682375,0.0001570936,0.003263103,0.0018355837,0.00024306402,0.000019304676,0.003910557,0.0695102,0.001976014,0.63811916,0.2780892,0.0010084499],"about_ca_topic_score_codex":0.000024476021,"about_ca_topic_score_gemma":0.000052517385,"teacher_disagreement_score":0.7912754,"about_ca_system_score_codex":0.00021292822,"about_ca_system_score_gemma":0.00042376554,"threshold_uncertainty_score":0.9997476},"labels":[],"label_agreement":null}]}