{"meta":{"query_hash":"aceb98d32faf","filters":{"venue":"Elemente der Mathematik"},"cohort_total":6,"direct_labels_cover":0,"predictions_cover":6,"exported":6,"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/aceb98d32faf","api":"https://metacan.xera.ac/api/v1/cohort?venue=Elemente+der+Mathematik"},"results":[{"id":"W2074079652","doi":"10.4171/em/103","title":"Catalan numbers, primes, and twin primes","year":2008,"lang":"de","type":"article","venue":"Elemente der Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Catalan number; Catalan; Mathematics; Fermat's Last Theorem; Humanities; Combinatorics; Philosophy","score_opus":0.04261008697084737,"score_gpt":0.3144942409194113,"score_spread":0.2718841539485639,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2074079652","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18740778,0.0803536,0.11394675,0.012160585,0.006619087,0.00006282758,0.00052095804,0.00033340786,0.598595],"genre_scores_gemma":[0.83811706,0.02197977,0.02418008,0.0029443884,0.003724712,0.00006874623,0.00046273312,0.00019879067,0.10832381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994935,0.00015507494,0.000022825529,0.00010660199,0.00016102806,0.000060989925],"domain_scores_gemma":[0.99885285,0.0006229965,0.000094046285,0.00012750787,0.00020472525,0.00009791333],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007153562,0.00055554876,0.00042006516,0.0012058693,0.0013610111,0.0026726935,0.00049054116,0.0005937421,0.009752309],"category_scores_gemma":[0.0032826695,0.0002668282,0.0005625426,0.0015128916,0.0024594937,0.0031290445,0.0017604546,0.0019323546,0.0014423026],"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":[0.000031443116,0.0000039786637,0.00027476027,0.00007021212,0.0000045422257,0.000051754785,0.0001551108,0.0005421383,0.00036553544,0.98556376,0.004298767,0.008637944],"study_design_scores_gemma":[0.000005916005,0.00002388078,0.0005504596,0.000046264046,0.000008671849,0.0002184095,0.00012090752,0.0016384689,0.00031980695,0.94074035,0.056316175,0.000010652193],"about_ca_topic_score_codex":0.0011373428,"about_ca_topic_score_gemma":0.0014587749,"teacher_disagreement_score":0.009752309,"about_ca_system_score_codex":0.001387892,"about_ca_system_score_gemma":0.00066668296,"threshold_uncertainty_score":0.03262472},"labels":[],"label_agreement":null},{"id":"W2101986945","doi":"10.1007/pl00000079","title":"From Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem","year":2000,"lang":"en","type":"article","venue":"Elemente der Mathematik","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"York University","funders":"","keywords":"Fermat's Last Theorem; Mathematics; Mathematics education; Ring (chemistry); History of mathematics; Algebra over a field; Pure mathematics","score_opus":0.02761918859666907,"score_gpt":0.28721948148822496,"score_spread":0.2596002928915559,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2101986945","genre_codex":"other","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.046918064,0.045343895,0.095804505,0.07046644,0.012283228,0.00003114482,0.00041998617,0.0006051453,0.72812766],"genre_scores_gemma":[0.8037792,0.016393417,0.032995995,0.012484509,0.0071797497,0.00008855764,0.0003966993,0.00050310773,0.1261788],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990784,0.0003259724,0.000046886085,0.00018825056,0.00025672241,0.00010360542],"domain_scores_gemma":[0.99873537,0.0007558966,0.00008486354,0.00015174266,0.00018214122,0.00008989461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018399898,0.0004729356,0.0004942107,0.0015021897,0.0023630103,0.0030005106,0.00059793313,0.0014267205,0.009114666],"category_scores_gemma":[0.0054490245,0.00027828634,0.00060982525,0.0010030178,0.009314456,0.008877328,0.0017990138,0.003593461,0.0030496782],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021200934,0.0000034537236,0.00010383309,0.000022206017,0.0000038235,0.00005768692,0.0005806866,0.00010979456,0.00013318226,0.9725108,0.013264033,0.013189175],"study_design_scores_gemma":[0.000005870835,0.000011686779,0.00017502965,0.000022706654,0.0000027309263,0.00010451179,0.000103593506,0.00017498992,0.0001154345,0.94497466,0.054301355,0.000007451487],"about_ca_topic_score_codex":0.0011462796,"about_ca_topic_score_gemma":0.0011020881,"teacher_disagreement_score":0.009114666,"about_ca_system_score_codex":0.0017385118,"about_ca_system_score_gemma":0.0008911633,"threshold_uncertainty_score":0.03049153},"labels":[],"label_agreement":null},{"id":"W2268926769","doi":"10.4171/em/291","title":"Would real analysis be complete without the fundamental theorem of calculus?","year":2015,"lang":"en","type":"preprint","venue":"Elemente der Mathematik","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Acadia University; University of Waterloo","funders":"","keywords":"Completeness (order theory); Differentiable function; Calculus (dental); Real analysis; Gödel's completeness theorem; Mathematics; Characterization (materials science); Variable (mathematics); Key (lock); Fundamental theorem of calculus; Fundamental theorem; Discrete mathematics; Pure mathematics; Computer science; Fixed-point theorem; Mathematical analysis","score_opus":0.07532331418679879,"score_gpt":0.3217630950585604,"score_spread":0.2464397808717616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2268926769","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04102561,0.01636258,0.5215498,0.15004952,0.004015601,0.000104195555,0.0007492821,0.00066386984,0.26547953],"genre_scores_gemma":[0.8181136,0.007846343,0.11518918,0.014366948,0.0064155455,0.00028963978,0.0007423792,0.00042491994,0.036611438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969003,0.0012441832,0.00013807944,0.0006668593,0.00079675566,0.00025391442],"domain_scores_gemma":[0.99360025,0.0038698334,0.00036728775,0.00088761025,0.0009979461,0.00027710534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007816576,0.00053528947,0.0009516363,0.0011487352,0.0020746181,0.0057926783,0.0010875921,0.0026297998,0.004231453],"category_scores_gemma":[0.015144269,0.00040374915,0.0012039657,0.00071291666,0.0135307815,0.018677043,0.0029393085,0.0046491222,0.0018846752],"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":[0.000008450958,0.0000042362262,0.00003313929,0.000020654708,0.000002695322,0.000006507429,0.00006078531,0.00018352404,0.00003932766,0.99477416,0.0027555465,0.0021110189],"study_design_scores_gemma":[0.000004104142,0.0000032116172,0.000026333337,0.000008012172,0.000001087755,0.000009876904,0.000026267071,0.00041753438,0.000053482156,0.9907307,0.008716023,0.0000032379053],"about_ca_topic_score_codex":0.0010112392,"about_ca_topic_score_gemma":0.0005498651,"teacher_disagreement_score":0.007816576,"about_ca_system_score_codex":0.002152574,"about_ca_system_score_gemma":0.002293709,"threshold_uncertainty_score":0.041338563},"labels":[],"label_agreement":null},{"id":"W3147349937","doi":"10.4171/em/437","title":"Schröder’s processes and the best ways of increasing order of Newton’s method","year":2021,"lang":"en","type":"article","venue":"Elemente der Mathematik","topic":"Iterative Methods for Nonlinear Equations","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":"Université de Sherbrooke","funders":"","keywords":"Order (exchange); Newton's method; Mathematics; Applied mathematics; Calculus (dental); Mathematical analysis; Physics; Nonlinear system; Economics","score_opus":0.12705597433938,"score_gpt":0.39517658521434984,"score_spread":0.26812061087496986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3147349937","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012793775,0.0029784224,0.9572236,0.002316262,0.0005830459,0.00004944781,0.00008825674,0.00028954065,0.023677662],"genre_scores_gemma":[0.28400245,0.0046631596,0.67532,0.00094811496,0.0007430407,0.00019666737,0.0001885227,0.0009449023,0.032993104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99592423,0.0019955032,0.0002588636,0.00041075618,0.0010810978,0.00032957882],"domain_scores_gemma":[0.9872018,0.007134885,0.00051966833,0.002132068,0.0024621012,0.0005494901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007241555,0.0013787604,0.0014211371,0.0029235873,0.0016668545,0.0033104678,0.0018662526,0.001961289,0.005155929],"category_scores_gemma":[0.026348112,0.0011233118,0.0018757265,0.0019478515,0.006989001,0.007003965,0.0042454475,0.0072612027,0.0016114501],"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":[0.00008836713,0.00002721119,0.00021577177,0.00008879924,0.000020058,0.000032962118,0.00028065185,0.012335399,0.0007670009,0.95796573,0.0019882359,0.02618984],"study_design_scores_gemma":[0.000025022135,0.00003874909,0.00012603063,0.00006315137,0.000020232184,0.00003862693,0.000048982278,0.07465731,0.0021754191,0.9102944,0.012470508,0.000041520594],"about_ca_topic_score_codex":0.0038269332,"about_ca_topic_score_gemma":0.0044002845,"teacher_disagreement_score":0.007241555,"about_ca_system_score_codex":0.002268277,"about_ca_system_score_gemma":0.00231773,"threshold_uncertainty_score":0.038297474},"labels":[],"label_agreement":null},{"id":"W3174611115","doi":"10.4171/em/456","title":"Apparent paradoxical partitions in countable sets","year":2021,"lang":"en","type":"article","venue":"Elemente der Mathematik","topic":"Advanced Algebra and Logic","field":"Computer Science","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":"Brock University","funders":"","keywords":"Countable set; Mathematics; Pure mathematics; Combinatorics","score_opus":0.02070889296437932,"score_gpt":0.27681090127352975,"score_spread":0.2561020083091504,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3174611115","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44669315,0.0033407973,0.23395656,0.023204774,0.0011706875,0.00011252395,0.0008645364,0.00070985814,0.2899471],"genre_scores_gemma":[0.97629243,0.00036848223,0.012444148,0.00058607763,0.00021995735,0.00006194941,0.00016304693,0.00008190231,0.009781954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977701,0.000818579,0.00012915624,0.0003576332,0.0006517868,0.0002726977],"domain_scores_gemma":[0.9882357,0.008406144,0.0005669428,0.0013944563,0.0007694621,0.00062734325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032277743,0.0005826487,0.0013027932,0.0020302788,0.0039863936,0.007602681,0.0017359209,0.0030082546,0.011705486],"category_scores_gemma":[0.017612943,0.001171991,0.0010500161,0.0018444721,0.011006889,0.01755539,0.0049419254,0.0070519955,0.0009852045],"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":[0.000025370822,0.0000050108465,0.00005477971,0.000015326685,0.0000026994444,0.000036561833,0.0002368144,0.00017594508,0.00013434303,0.99854904,0.0003584632,0.00040572666],"study_design_scores_gemma":[0.000009378573,0.000001908732,0.000036700956,0.000004518367,0.00000281996,0.000040651463,0.00009370524,0.0005477979,0.000087592125,0.9983266,0.00084470864,0.0000036271006],"about_ca_topic_score_codex":0.0010777736,"about_ca_topic_score_gemma":0.0013225935,"teacher_disagreement_score":0.011705486,"about_ca_system_score_codex":0.0024177628,"about_ca_system_score_gemma":0.00076309993,"threshold_uncertainty_score":0.03915876},"labels":[],"label_agreement":null},{"id":"W4388187044","doi":"10.4171/em/518","title":"Integers expressible as sums of primes and composites","year":2023,"lang":"en","type":"article","venue":"Elemente der Mathematik","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University; York University","funders":"Killam Trusts","keywords":"Mathematics; Pure mathematics; Arithmetic","score_opus":0.03693555500551247,"score_gpt":0.3070016370254073,"score_spread":0.2700660820198948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388187044","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5542519,0.0039351154,0.22650091,0.00197367,0.0011554712,0.00009706988,0.0005761254,0.0011686023,0.21034117],"genre_scores_gemma":[0.92646205,0.001075002,0.045908682,0.00019774832,0.00076134613,0.000066508816,0.0002143786,0.00018470989,0.025129464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910706,0.00020536954,0.00007854354,0.00017166682,0.0002798774,0.00015747308],"domain_scores_gemma":[0.9989624,0.0004288478,0.00019138641,0.0001633316,0.00011752098,0.00013650589],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013008013,0.0007479385,0.0006278038,0.0023252377,0.0013333661,0.0047276537,0.0007371732,0.0007420354,0.0068988088],"category_scores_gemma":[0.003025684,0.0005658814,0.00059464114,0.0013296074,0.0029212546,0.007907448,0.0018725494,0.0018486724,0.0011844496],"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":[0.00006707047,0.000015268166,0.00015232398,0.000026916488,0.0000057127186,0.00010964152,0.0002711649,0.00030271814,0.0015814963,0.99229974,0.00063755614,0.004530363],"study_design_scores_gemma":[0.000017940682,0.000024753415,0.00027333308,0.000021758466,0.000022819777,0.00028122566,0.00021498298,0.0018126178,0.001989725,0.9864667,0.008853328,0.000020924832],"about_ca_topic_score_codex":0.00015886706,"about_ca_topic_score_gemma":0.00035830392,"teacher_disagreement_score":0.0068988088,"about_ca_system_score_codex":0.00075092196,"about_ca_system_score_gemma":0.0004106113,"threshold_uncertainty_score":0.023078859},"labels":[],"label_agreement":null}]}