{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":52,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":52,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"03757c2d9fb0","filters":{"venue":"Forum Mathematicum"}},"results":[{"id":"W2085192447","doi":"10.1515/form.2011.051","title":"Almost prime values of the order of elliptic curves over finite fields","year":2010,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Order (exchange); Mathematics; Combinatorics; Prime (order theory); Conjecture","authors":[{"name":"Chantal David","is_ca":true},{"name":"Jie Wu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.00694300099726095,"gpt":0.2264882627447947,"spread":0.2195452617475338,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001040977,0.0006644059,0.000713471,0.001590755,0.001336056,0.003380207,0.0004810727,0.0006733696,0.01047389],"category_scores_gemma":[0.004146634,0.0003842452,0.0005708285,0.00074611,0.002687334,0.003437276,0.001702811,0.00194711,0.002027322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001856446,"about_ca_system_score_gemma":0.0007440112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005771104,"about_ca_topic_score_gemma":0.0005771531,"domain_scores_codex":[0.9990554,0.0001917512,0.00003853964,0.000148493,0.0003255039,0.0002402137],"domain_scores_gemma":[0.997611,0.0008751937,0.0003071463,0.0003806874,0.0003182017,0.0005076099],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006423925,0.00009843312,0.001699199,0.0001033944,0.0000217698,0.000484454,0.0003599022,0.003374028,0.003623825,0.9694628,0.004235062,0.01589468],"study_design_scores_gemma":[0.00007924785,0.0001081352,0.001448581,0.00005573082,0.00002271041,0.0004646036,0.0001641139,0.006677374,0.003862103,0.9772151,0.009864792,0.00003756023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8121238,0.001533775,0.03507151,0.003472219,0.0004708307,0.00005419944,0.0005096456,0.0005222123,0.1462418],"genre_scores_gemma":[0.9786107,0.0004204009,0.004116489,0.0001832511,0.0003574979,0.00002341392,0.000227941,0.00008632683,0.01597411],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01047389,"threshold_uncertainty_score":0.03503871,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051189409","doi":"10.1515/forum.2008.035","title":"Expander graphs and gaps between primes","year":2008,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Graph theory and applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Ramanujan's sum; Mathematics; Expander graph; Combinatorics; Prime power; Discrete mathematics; Chordal graph; Prime (order theory); Graph","authors":[{"name":"Sebastian M. Cioabă","is_ca":false},{"name":"M. Ram Murty","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05040285597966428,"gpt":0.3005628081756454,"spread":0.2501599521959811,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006409789,0.0002773207,0.0003336269,0.001172711,0.0009079851,0.0006722449,0.0005736212,0.0004567837,0.003590954],"category_scores_gemma":[0.003078892,0.0002868852,0.000326172,0.0004087647,0.001855166,0.001455303,0.001217035,0.001079081,0.0002774537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005945581,"about_ca_system_score_gemma":0.0001897659,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002709985,"about_ca_topic_score_gemma":0.0002518777,"domain_scores_codex":[0.9995747,0.0001324044,0.0000136289,0.00009872698,0.0001140778,0.00006654501],"domain_scores_gemma":[0.9982387,0.000936212,0.0002043184,0.0002847489,0.0001494597,0.0001866158],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006463929,0.00002206965,0.0004438092,0.00003671494,0.000009049128,0.0001668433,0.0002899904,0.004864915,0.005627317,0.9813341,0.0006136459,0.006526893],"study_design_scores_gemma":[0.00001671201,0.00004194033,0.0005642902,0.00001838561,0.00001176241,0.000397245,0.0001604325,0.03074981,0.003346329,0.9608703,0.003807672,0.00001513791],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8373697,0.0005887134,0.1141382,0.0007330026,0.00009436813,0.00002997533,0.0001057523,0.0003503771,0.0465899],"genre_scores_gemma":[0.9854875,0.0001442032,0.011068,0.0001274854,0.00003276549,0.00003458838,0.00006620061,0.00003256878,0.003006722],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003590954,"threshold_uncertainty_score":0.0120129,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963861922","doi":"10.1515/forum-2016-0189","title":"Anticyclotomic <i>p</i>-ordinary Iwasawa theory of elliptic modular forms","year":2017,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; European Commission","keywords":"Iwasawa theory; Mathematics; Quadratic field; Modular form; Conjecture; Prime (order theory); Pure mathematics; Elliptic curve; Euler system; Tower; Algebra over a field; Quadratic equation; Combinatorics; Mathematical analysis; Geometry; Quadratic function; Euler equations","authors":[{"name":"Kâzım Büyükboduk","is_ca":false},{"name":"Antonio Lei","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03214301548520607,"gpt":0.2956957558454494,"spread":0.2635527403602433,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005491637,0.0005134864,0.000383533,0.001250061,0.001298009,0.001575298,0.0005555933,0.0005989675,0.003751181],"category_scores_gemma":[0.000782703,0.0002331699,0.0005092446,0.0005891669,0.003160018,0.002708855,0.001234898,0.001464249,0.0004622448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009652274,"about_ca_system_score_gemma":0.0003833084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004973029,"about_ca_topic_score_gemma":0.0004194505,"domain_scores_codex":[0.9997055,0.00006010448,0.00001473123,0.00005077017,0.00008373236,0.00008508835],"domain_scores_gemma":[0.9996126,0.00007310142,0.00007626176,0.00005358731,0.00007074658,0.0001137162],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002032879,0.000009402441,0.0002469617,0.00001737438,0.000002009412,0.0001493159,0.0002121998,0.0004904479,0.001307676,0.9958583,0.0003484405,0.001337612],"study_design_scores_gemma":[0.00001289252,0.00005214441,0.0005810784,0.00001903009,0.000005289729,0.0003181676,0.0002075276,0.004619503,0.00112835,0.9898614,0.00318169,0.00001295206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7902073,0.0004954627,0.05427975,0.001607907,0.0002983707,0.00003280117,0.0000799679,0.0001406865,0.1528579],"genre_scores_gemma":[0.9865322,0.0002015994,0.00383196,0.0001247124,0.0002073473,0.00001554162,0.0000381487,0.00001986052,0.009028733],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003751181,"threshold_uncertainty_score":0.01254898,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2069653945","doi":"10.1515/form.2004.011","title":"Growth of modified Painlevé transcendents of the fifth and the third kind","year":2004,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Calculus (dental)","authors":[{"name":"Shun Shimomura","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03174554714456446,"gpt":0.2498564033882217,"spread":0.2181108562436572,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001393482,0.0008723484,0.0009805191,0.004211759,0.001379529,0.003294752,0.001427067,0.0013512,0.009020603],"category_scores_gemma":[0.01273247,0.0004808008,0.001164233,0.001250953,0.002860567,0.005714373,0.002208721,0.002354061,0.001059103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002073024,"about_ca_system_score_gemma":0.0009483154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001092952,"about_ca_topic_score_gemma":0.0008525061,"domain_scores_codex":[0.9994153,0.0001082098,0.00002579313,0.00009240064,0.0002093335,0.00014906],"domain_scores_gemma":[0.9953383,0.001666146,0.0006466861,0.0005810068,0.0008540328,0.000913767],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008990692,0.00001746882,0.0007903687,0.00005669417,0.00001714003,0.0002837365,0.0004289162,0.001887426,0.003218095,0.984745,0.001153825,0.00731148],"study_design_scores_gemma":[0.00003528955,0.0000626783,0.004565623,0.00004776552,0.00003022952,0.001488576,0.0002453307,0.02414943,0.004049964,0.9565837,0.008681655,0.00005972399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.815784,0.00317961,0.05173462,0.002229359,0.0004861183,0.00003248729,0.0003081977,0.00048495,0.1257606],"genre_scores_gemma":[0.9623972,0.0009379999,0.006528428,0.0001335161,0.0002468986,0.00002463737,0.0001468911,0.0001954401,0.02938894],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009020603,"threshold_uncertainty_score":0.03017688,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W294254944","doi":"10.1515/forum-2020-0018","title":"Decomposition rank of approximately subhomogeneous C<sup>*</sup>-algebras","year":2020,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa; Lakehead University; University of Toronto","funders":"University of Aberdeen; University of Wyoming; Simons Foundation","keywords":"Conjecture; Generalization; Rank (graph theory); Class (philosophy); Simple (philosophy); Dimension (graph theory)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04809923472642119,"gpt":0.3344160269627441,"spread":0.2863167922363229,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007716859,0.0003270099,0.000424783,0.001187279,0.0009734037,0.001835003,0.0004989752,0.0003174994,0.009657378],"category_scores_gemma":[0.001379565,0.0002152271,0.0005014414,0.0005798576,0.001441539,0.002193463,0.001023231,0.000963021,0.0009459173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001387222,"about_ca_system_score_gemma":0.000713039,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001930718,"about_ca_topic_score_gemma":0.001718377,"domain_scores_codex":[0.999247,0.0001291213,0.00004649562,0.000140151,0.0002480205,0.0001893783],"domain_scores_gemma":[0.9986349,0.0002444443,0.0002463018,0.0001769229,0.0003543393,0.000343092],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001813992,0.00004781564,0.001719099,0.00005465167,0.0000181336,0.0001496664,0.0002912951,0.002143045,0.004893332,0.9812464,0.00176366,0.007491436],"study_design_scores_gemma":[0.0000324696,0.00008889959,0.002618814,0.00002084537,0.00001872459,0.0002491076,0.0002961757,0.01760752,0.006873691,0.967057,0.005097344,0.00003939245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9025349,0.0003173219,0.04364406,0.0005727086,0.00005509239,0.00004010867,0.0004513502,0.0002431454,0.05214129],"genre_scores_gemma":[0.9901452,0.00007433007,0.003462889,0.00007126213,0.00004692496,0.00001257137,0.000299561,0.0000189099,0.005868379],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009657378,"threshold_uncertainty_score":0.03230715,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2067766943","doi":"10.1515/forum-2011-0155","title":"Primitive ideals in quantum Schubert cells: Dimension of the strata","year":2012,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Subalgebra; Torus; Weyl group; Invariant (physics); Quantum group; Maximal torus; Combinatorics; Lie algebra; Algebra over a field; Mathematical physics; Geometry; Fundamental representation","authors":[{"name":"Jason P. Bell","is_ca":true},{"name":"Karel Casteels","is_ca":false},{"name":"Stéphane Launois","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04027395033854622,"gpt":0.2980476343067504,"spread":0.2577736839682041,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005537603,0.0002870122,0.0004806409,0.00192919,0.001803905,0.003398259,0.0004527781,0.0005037106,0.00637012],"category_scores_gemma":[0.00122337,0.0002713307,0.0004739015,0.0007601576,0.00320947,0.003443793,0.001680881,0.001258997,0.0006373537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001446803,"about_ca_system_score_gemma":0.00068933,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001085607,"about_ca_topic_score_gemma":0.0007146904,"domain_scores_codex":[0.9994044,0.0001087501,0.00002547728,0.0000836749,0.0002112221,0.0001664496],"domain_scores_gemma":[0.9991719,0.0002012213,0.0001200956,0.00006971498,0.0001527929,0.0002843857],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001973358,0.00001006116,0.0002965546,0.00001566049,0.000003654115,0.00003853088,0.0002457509,0.0002158475,0.0006187776,0.9964401,0.0004006841,0.0016946],"study_design_scores_gemma":[0.00001605254,0.00002619564,0.0006546694,0.0000114365,0.000007510847,0.0001078797,0.0002987136,0.002755859,0.0007595797,0.991896,0.003453046,0.00001310182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8497914,0.001281705,0.03756728,0.002067203,0.000316999,0.00007044103,0.0002898392,0.0001507217,0.1084645],"genre_scores_gemma":[0.9892469,0.0003076328,0.002517693,0.00006868904,0.0001612832,0.0000227761,0.00007507148,0.00001425736,0.007585672],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00637012,"threshold_uncertainty_score":0.02131021,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1975694824","doi":"10.1515/form.2005.17.4.637","title":"Some results on Q p spaces, 0 &lt; p &lt; 1, continued","year":2005,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Holomorphic function; Isoperimetric inequality; Unit disk; Harmonic function; Invariant (physics); Pure mathematics; Hausdorff measure; Order (exchange); Hausdorff space; Mathematical analysis; Hausdorff dimension; Mathematical physics; Finance","authors":[{"name":"Jie Xiao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03881822129021942,"gpt":0.2898944316678361,"spread":0.2510762103776167,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001324438,0.0005751651,0.0004866196,0.002008758,0.001950214,0.002921082,0.0005220623,0.0009701105,0.009030985],"category_scores_gemma":[0.002535116,0.000304853,0.0006601272,0.002219527,0.003483188,0.004427817,0.001984549,0.002922583,0.0008422381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002107925,"about_ca_system_score_gemma":0.0005387897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002103224,"about_ca_topic_score_gemma":0.0009909332,"domain_scores_codex":[0.9995579,0.0001575455,0.00002312638,0.00009869134,0.0001068348,0.00005585321],"domain_scores_gemma":[0.9990934,0.0004883806,0.00008590073,0.00007447849,0.0001546207,0.0001033327],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008333645,0.000006647025,0.00009785037,0.00003490956,0.000003608673,0.00004912157,0.0001357668,0.0002639447,0.0002022538,0.9910963,0.002948415,0.005152889],"study_design_scores_gemma":[0.000007363112,0.00001573317,0.0003732344,0.00002065044,0.000003385783,0.00007714286,0.00008023685,0.001359858,0.0001342239,0.9779956,0.01992704,0.000005512687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1993569,0.03420362,0.1494775,0.03603762,0.003854322,0.00008012343,0.0008013917,0.0003052927,0.5758832],"genre_scores_gemma":[0.8508685,0.01697302,0.02842395,0.003769719,0.00477354,0.0001838694,0.000589238,0.0001648673,0.09425337],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009030985,"threshold_uncertainty_score":0.03021169,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1966547704","doi":"10.1515/forum-2012-0060","title":"A common generalization of metric, ultrametric and topological fixed point theorems","year":2012,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Ultrametric space; Mathematics; Fixed-point theorem; Fixed point; Generalization; Abelian group; Discrete mathematics; Metric (unit); Fixed-point property; Metric space; Pure mathematics; Topology (electrical circuits); Combinatorics; Mathematical analysis","authors":[{"name":"Katarzyna Kuhlmann","is_ca":false},{"name":"Franz‐Viktor Kuhlmann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0288175778173268,"gpt":0.3020964340437036,"spread":0.2732788562263768,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006221855,0.001128691,0.001259031,0.003533869,0.001741886,0.003015529,0.002741841,0.002475119,0.005798215],"category_scores_gemma":[0.006401634,0.0004165707,0.002640149,0.001658658,0.007046655,0.007237476,0.004799919,0.004011882,0.0008507707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001715358,"about_ca_system_score_gemma":0.001058706,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008771364,"about_ca_topic_score_gemma":0.0005244836,"domain_scores_codex":[0.9977724,0.0005596997,0.0001933736,0.0006850623,0.0006007373,0.0001886712],"domain_scores_gemma":[0.9971409,0.001037623,0.0002802624,0.0007355035,0.0006077419,0.0001979712],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000002866297,0.000005474069,0.00007414426,0.00001638164,0.000007067002,0.0000671064,0.00007893489,0.0003324963,0.0003212517,0.9961897,0.0004145437,0.002490044],"study_design_scores_gemma":[0.00001164005,0.00002825316,0.0001368962,0.00002178404,0.00001096616,0.0002755979,0.00004230536,0.003094007,0.000616507,0.9863892,0.009361978,0.00001083234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03127874,0.00152591,0.9053668,0.002654398,0.0008025109,0.0001607582,0.0002717881,0.0002584322,0.0576807],"genre_scores_gemma":[0.6495632,0.002242468,0.3180304,0.002089183,0.001829921,0.0007245066,0.0004070436,0.0002747685,0.02483846],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006221855,"threshold_uncertainty_score":0.03290474,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2052910014","doi":"10.1515/forum.2009.031","title":"Mahler measure under variations of the base group","year":2009,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Measure (data warehouse); Abelian group; Base (topology); Group (periodic table); Dihedral group; Generalization; Non-abelian group","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03432837349478005,"gpt":0.2745210215697626,"spread":0.2401926480749826,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009195501,0.0005586413,0.0007529197,0.002153041,0.001236846,0.002184011,0.001168375,0.00103925,0.003289751],"category_scores_gemma":[0.004388535,0.0002718268,0.0006267978,0.0009062768,0.002871154,0.0039969,0.001615461,0.001329723,0.0004841872],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001298054,"about_ca_system_score_gemma":0.0003825287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007659876,"about_ca_topic_score_gemma":0.0004693886,"domain_scores_codex":[0.9992999,0.0001508671,0.00002983721,0.0001592445,0.0002369068,0.000123309],"domain_scores_gemma":[0.9981183,0.0005183537,0.0004019241,0.0001745834,0.000227301,0.0005596039],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003427272,0.00001810491,0.0005975436,0.00002828658,0.00001882846,0.0002402347,0.0003422858,0.003229941,0.003670854,0.9889243,0.0004081649,0.002487145],"study_design_scores_gemma":[0.00002125352,0.00009338537,0.001725161,0.00001997585,0.00002174148,0.0005195213,0.0001895999,0.0351416,0.00286755,0.9561847,0.003156638,0.00005881911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9017463,0.001316078,0.05785028,0.0009790977,0.0002041806,0.00002743347,0.0001247748,0.0003154032,0.03743654],"genre_scores_gemma":[0.9894716,0.0003687491,0.004261912,0.0001103957,0.0003588815,0.00002646987,0.00007273742,0.00007226346,0.005257028],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003289751,"threshold_uncertainty_score":0.01100534,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2257802633","doi":"10.1515/forum-2015-0240","title":"A family of irretractable square-free solutions of the Yang–Baxter equation","year":2017,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Narodowe Centrum Nauki; Vrije Universiteit Brussel; Ministerio de Economía y Competitividad","keywords":"Subfamily; Counterexample; Conjecture; Mathematics; Permutation (music); Group (periodic table); Combinatorics; Permutation group; Yang–Baxter equation; Degenerate energy levels; Pure mathematics; Physics; Chemistry","authors":[{"name":"David Bachiller","is_ca":false},{"name":"Ferran Cedó","is_ca":true},{"name":"Eric Jespers","is_ca":false},{"name":"Jan Okniński","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09692742269059126,"gpt":0.3106924983537347,"spread":0.2137650756631435,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004289943,0.0004947039,0.0006116711,0.001201182,0.001247188,0.001323447,0.0006787947,0.0009537102,0.003388074],"category_scores_gemma":[0.001229104,0.0002917047,0.0005673957,0.0005567555,0.001534363,0.001166761,0.00109497,0.001035517,0.0002719554],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006255771,"about_ca_system_score_gemma":0.0003832048,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002437204,"about_ca_topic_score_gemma":0.0001982005,"domain_scores_codex":[0.999697,0.00007439411,0.00001717486,0.00005033805,0.00009971469,0.00006140151],"domain_scores_gemma":[0.9996675,0.00009464678,0.00005883352,0.00004086967,0.00005957877,0.00007857029],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001109578,0.00005837077,0.00140343,0.00006340657,0.0000232742,0.0009399332,0.0007122254,0.005263569,0.01162258,0.9721308,0.0009689248,0.006702483],"study_design_scores_gemma":[0.0001072484,0.0001147612,0.0009550735,0.00003579383,0.00001826678,0.001209596,0.0004919639,0.05088396,0.00552703,0.936487,0.004118138,0.0000511761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.952867,0.000270399,0.0327718,0.0006238493,0.00006802705,0.00002484621,0.00008383396,0.0001179601,0.01317227],"genre_scores_gemma":[0.9873155,0.0001339434,0.006020434,0.00008646087,0.00004304689,0.00004256632,0.0001043679,0.00002671889,0.006226902],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003388074,"threshold_uncertainty_score":0.01133424,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963829070","doi":"10.1515/forum-2018-0096","title":"Simple modules over the Lie algebras of divergence zero vector fields on a torus","year":2019,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Natural Science Foundation of Shanghai","keywords":"Lie algebra; Zero (linguistics); Physics; Combinatorics; Mathematics; Quantum mechanics","authors":[{"name":"Brendan Dubsky","is_ca":false},{"name":"Xiangqian Guo","is_ca":false},{"name":"Yu-Feng Yao","is_ca":false},{"name":"Kaiming Zhao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009186067178065766,"gpt":0.2482670986948704,"spread":0.2390810315168047,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006425964,0.000800717,0.0007605517,0.002009948,0.001474111,0.002218884,0.0007254207,0.0005482464,0.008047167],"category_scores_gemma":[0.001177278,0.0003181372,0.0008052633,0.001119316,0.002614945,0.004078572,0.001928389,0.001072916,0.001706195],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001645972,"about_ca_system_score_gemma":0.001056511,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001694411,"about_ca_topic_score_gemma":0.001068166,"domain_scores_codex":[0.9991515,0.0001838835,0.00004172947,0.0001370741,0.000298424,0.0001875559],"domain_scores_gemma":[0.9992644,0.00007743166,0.0001193115,0.00006008232,0.0001415924,0.0003371234],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006641683,0.00005228002,0.000356738,0.00004074431,0.00001702858,0.000291865,0.0005670469,0.001426583,0.002613122,0.9875829,0.001784818,0.005200509],"study_design_scores_gemma":[0.00003089675,0.00009568139,0.0006202872,0.00001582634,0.000008495787,0.0002418373,0.00031457,0.004550084,0.001207667,0.9876971,0.005193636,0.00002388563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.824741,0.0006325381,0.05911059,0.001274424,0.0004727927,0.0001117651,0.0003837653,0.0008407632,0.1124324],"genre_scores_gemma":[0.9637172,0.0003327503,0.005319909,0.0002178389,0.0003101757,0.00006113327,0.0002834749,0.0001238823,0.02963362],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008047167,"threshold_uncertainty_score":0.02692044,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963450278","doi":"10.1515/forum-2014-0152","title":"The classification of <i>p</i>-nilpotent restricted Lie algebras of dimension at most 4","year":2015,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Fundação de Amparo à Pesquisa do Estado de Minas Gerais; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Mathematics; Nilpotent; Dimension (graph theory); Pure mathematics; Lie algebra; Lie group; Algebra over a field","authors":[{"name":"Csaba Schneider","is_ca":false},{"name":"Hamid Usefi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1053089626415325,"gpt":0.3331868798328411,"spread":0.2278779171913086,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005072762,0.0003727331,0.0003620616,0.001850577,0.0008538609,0.001741447,0.0008012445,0.0005252545,0.00311765],"category_scores_gemma":[0.001334261,0.0001704933,0.0003664806,0.0007057973,0.002277437,0.002255115,0.001488778,0.000844029,0.0004907362],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005190411,"about_ca_system_score_gemma":0.0004470763,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002795287,"about_ca_topic_score_gemma":0.0001864525,"domain_scores_codex":[0.9995067,0.00009904391,0.00004237742,0.00007204484,0.0001420326,0.0001377978],"domain_scores_gemma":[0.9990381,0.0001832877,0.0002674081,0.0001055927,0.0001649965,0.0002407632],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003960745,0.0001068209,0.01694191,0.0002239572,0.0000618021,0.0009266462,0.001380919,0.004627925,0.02680062,0.9230979,0.002282349,0.02315295],"study_design_scores_gemma":[0.00006447118,0.0001897914,0.008508666,0.00006724522,0.00003769235,0.002051984,0.001034665,0.01751154,0.01334973,0.9473751,0.009745597,0.00006353693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9781677,0.0002242065,0.008122467,0.0003112911,0.00003745051,0.0000217324,0.00009357563,0.00008085147,0.01294072],"genre_scores_gemma":[0.9950897,0.0001088194,0.00242735,0.00004938784,0.00004069187,0.00001411278,0.0001425306,0.000009956662,0.002117453],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00311765,"threshold_uncertainty_score":0.01042956,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3039601255","doi":"10.1515/forum-2020-0188","title":"Syzygies in equivariant cohomology in positive characteristic","year":2021,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Equivariant map; Cohomology; Equivariant cohomology; Torus; Algebraic number; Algebra over a field","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02634854154636094,"gpt":0.3106340842056719,"spread":0.2842855426593109,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006562675,0.0005366149,0.0005163978,0.002715153,0.001243724,0.002141728,0.0005391678,0.0004388171,0.005081423],"category_scores_gemma":[0.001176971,0.000260733,0.0003926408,0.0009237397,0.003111396,0.004037537,0.002414518,0.001405478,0.000685956],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00106547,"about_ca_system_score_gemma":0.0004279318,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006356551,"about_ca_topic_score_gemma":0.0004542737,"domain_scores_codex":[0.9995542,0.00008037749,0.00002385358,0.00007851158,0.0001701885,0.0000928506],"domain_scores_gemma":[0.9995585,0.0001220755,0.00006607143,0.00004334848,0.00008913363,0.0001209609],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007439837,0.000007490969,0.0003245104,0.00001795892,0.000003687654,0.00009157341,0.0002390701,0.0004093128,0.000610151,0.9953274,0.0003474003,0.002614059],"study_design_scores_gemma":[0.000009686412,0.00002893779,0.000900725,0.00001633413,0.000009246921,0.0002798851,0.0002879638,0.004908533,0.0009515244,0.987272,0.005321721,0.00001353544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7577085,0.001625509,0.1169244,0.002122051,0.0003769631,0.0000873333,0.0002140504,0.0003221334,0.120619],"genre_scores_gemma":[0.9815337,0.0005586913,0.005580388,0.0001210332,0.0001971838,0.0000287957,0.00006922752,0.00003826346,0.01187277],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005081423,"threshold_uncertainty_score":0.01699901,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2059798069","doi":"10.1515/forum-2012-0005","title":"Group algebras whose symmetric elements are Lie metabelian","year":2012,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Involution (esoterism); Locally nilpotent; Bounded function; Pure mathematics; Lie group; Lie algebra; Group ring; Nilpotent group; Nilpotent; Combinatorics; Algebraic number; Metabelian group; Group (periodic table); Abelian group; Mathematical analysis","authors":[{"name":"Francesco Catino","is_ca":false},{"name":"Gregory T. Lee","is_ca":true},{"name":"Ernesto Spinelli","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04703552588853684,"gpt":0.3191410757691325,"spread":0.2721055498805957,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006036006,0.0003411794,0.0004566316,0.0009122055,0.001211998,0.001452473,0.0003615801,0.0004170046,0.005210302],"category_scores_gemma":[0.001024971,0.0003178753,0.0005277357,0.0004687457,0.001595318,0.002357289,0.00106647,0.0004896202,0.001076745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008028486,"about_ca_system_score_gemma":0.0005502402,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000558535,"about_ca_topic_score_gemma":0.0005871537,"domain_scores_codex":[0.9993206,0.0001572006,0.00004183552,0.0001258908,0.0001999688,0.0001545024],"domain_scores_gemma":[0.9995489,0.00008232844,0.00009351107,0.00006500763,0.0001077966,0.0001024592],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000856058,0.00003606592,0.0005743196,0.00003757967,0.00001625552,0.0003247131,0.0005010408,0.0004642174,0.004139879,0.9863756,0.001304595,0.006139955],"study_design_scores_gemma":[0.00004666208,0.00008365767,0.000791518,0.00001592907,0.0000129555,0.0005535072,0.0003695646,0.00326323,0.004246245,0.9809018,0.009693347,0.00002151933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8629734,0.0006913468,0.04634869,0.0008635499,0.0002682841,0.00008365101,0.0003107019,0.0004319941,0.08802833],"genre_scores_gemma":[0.9834208,0.0001927954,0.005673117,0.0001874913,0.0001508206,0.00003363606,0.0001827015,0.00002907013,0.01012956],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005210302,"threshold_uncertainty_score":0.01743025,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2106806677","doi":"10.1515/forum-2013-0084","title":"Small covers, infra-solvmanifolds and curvature","year":2014,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"National Natural Science Foundation of China","keywords":"Diffeomorphism; Sectional curvature; Cover (algebra); Curvature; Covering space; Manifold (fluid mechanics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02728248484460815,"gpt":0.2472456246306305,"spread":0.2199631397860223,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000280246,0.0004450548,0.0003702468,0.001711017,0.0008044671,0.001222626,0.0002698008,0.0004671238,0.00407197],"category_scores_gemma":[0.001009567,0.0002030824,0.0002991942,0.0004030821,0.001873605,0.002059331,0.001475972,0.000498121,0.0002583456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005843018,"about_ca_system_score_gemma":0.0001914306,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004061286,"about_ca_topic_score_gemma":0.0003750889,"domain_scores_codex":[0.9997535,0.00004395235,0.00001309399,0.00004784871,0.00009443924,0.0000471485],"domain_scores_gemma":[0.9994285,0.0001474455,0.0001595937,0.00005106693,0.00006509155,0.0001482863],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000664769,0.00002387116,0.003518988,0.0000708156,0.00001896761,0.0008898808,0.0004947463,0.004465507,0.01717519,0.9664496,0.000641758,0.006184294],"study_design_scores_gemma":[0.00002281579,0.0001345253,0.01359292,0.00004343712,0.00003071441,0.002563238,0.0009972181,0.03540495,0.009610575,0.928011,0.009548415,0.00004013597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9539185,0.0003956594,0.03056509,0.000251691,0.00004064686,0.00001482442,0.0000788466,0.00007395539,0.01466081],"genre_scores_gemma":[0.9959019,0.0001317931,0.002236048,0.00001345917,0.00003873201,0.000009659382,0.00006597761,0.00001301047,0.001589497],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00407197,"threshold_uncertainty_score":0.01362211,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2507873146","doi":"10.1515/forum-2016-0192","title":"Rational homology and homotopy of high-dimensional string links","year":2018,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"Fonds De La Recherche Scientifique - FNRS; King Saud University","keywords":"Mathematics; Homotopy; Homology (biology); Homotopy group; Hochschild homology; Pure mathematics; Codimension; CW complex; Graph; Singular homology; Combinatorics; Cohomology","authors":[{"name":"Paul Arnaud Songhafouo Tsopméné","is_ca":true},{"name":"Victor Turchin","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02839121094827455,"gpt":0.3007970738113686,"spread":0.272405862863094,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003670748,0.0002719072,0.0003512038,0.002286274,0.0006253971,0.001990003,0.0005047395,0.0005016771,0.004514458],"category_scores_gemma":[0.001432634,0.0001448,0.0003107616,0.0006338481,0.002060327,0.00309704,0.001851651,0.0008027087,0.0004695112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007190419,"about_ca_system_score_gemma":0.0001902982,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008216958,"about_ca_topic_score_gemma":0.0004572261,"domain_scores_codex":[0.9996523,0.00006283694,0.00001495512,0.00008897901,0.0001136898,0.000067348],"domain_scores_gemma":[0.9994723,0.000146566,0.00009822928,0.00008420638,0.00008231789,0.0001164243],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003494517,0.00003409107,0.002246801,0.00002419411,0.00001100086,0.0001738332,0.0005107431,0.0038525,0.00437944,0.9802759,0.0004796491,0.007976797],"study_design_scores_gemma":[0.00001162311,0.00004549739,0.003953553,0.00001491915,0.00001046603,0.0002098926,0.0003453056,0.02403958,0.004463048,0.9637303,0.003150995,0.00002487159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9319811,0.0003291064,0.03250843,0.0004272995,0.00005017285,0.00001060691,0.00005526619,0.0001111216,0.03452693],"genre_scores_gemma":[0.9945338,0.00009318521,0.001713541,0.00002866809,0.00002759437,0.000003967412,0.00003641995,0.0000133104,0.003549453],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004514458,"threshold_uncertainty_score":0.01510239,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037512858","doi":"10.1515/forum.2007.026","title":"Dirichlet series and hyperelliptic curves","year":2007,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Dirichlet series; Hyperelliptic curve; Series (stratigraphy); Conjecture; Pure mathematics; Zero (linguistics); Degree (music); Quadratic equation; Mathematical analysis; Dirichlet distribution; Combinatorics; Algebra over a field; Geometry","authors":[{"name":"Jung-Jo Lee","is_ca":true},{"name":"M. Ram Murty","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02219025484095111,"gpt":0.2821967481712681,"spread":0.2600064933303169,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001094571,0.0006724906,0.0007736802,0.002950145,0.001163844,0.00205291,0.001118242,0.000696848,0.0039114],"category_scores_gemma":[0.004953635,0.0003176917,0.0006214305,0.002028347,0.003940016,0.002392657,0.001568394,0.001692174,0.0004676402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002536541,"about_ca_system_score_gemma":0.0003167855,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000751044,"about_ca_topic_score_gemma":0.0004895409,"domain_scores_codex":[0.9993275,0.0001596378,0.00002290625,0.0001177548,0.000259771,0.0001123409],"domain_scores_gemma":[0.9985628,0.0004582331,0.0002796332,0.0001200069,0.0001651473,0.0004143346],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001286664,0.00002493668,0.002218281,0.00008193688,0.00002838252,0.0003027445,0.0005045023,0.01847873,0.004655738,0.9619584,0.0007405957,0.01087722],"study_design_scores_gemma":[0.00003664267,0.00007994357,0.005149308,0.0000674722,0.00001971242,0.000836688,0.0003456948,0.07183792,0.002567238,0.9131446,0.005855971,0.00005892769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9257111,0.002222065,0.03486785,0.0007617323,0.0001684451,0.00002145562,0.0001506701,0.000105319,0.03599139],"genre_scores_gemma":[0.9902266,0.0005034092,0.003072357,0.00003239869,0.0001700672,0.00001318758,0.00009283085,0.0000304467,0.005858537],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0039114,"threshold_uncertainty_score":0.01840395,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1550214235","doi":"10.1515/forum-2013-0051","title":"Correction toA common generalization of metric,ultrametric and topological fixed point theorems[Forum Math. 27 (2015), 303–327]","year":2013,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Fixed Point Theorems Analysis","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Ultrametric space; Mathematics; Generalization; Metric (unit); Metric space; Discrete mathematics; Fixed-point theorem; Point (geometry); Pure mathematics; Mathematical analysis; Geometry","authors":[{"name":"Katarzyna Kuhlmann","is_ca":false},{"name":"Franz‐Viktor Kuhlmann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01593552690537477,"gpt":0.2748033900347002,"spread":0.2588678631293255,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004342368,0.002216961,0.00219169,0.005135729,0.004124909,0.004009666,0.005340514,0.005619842,0.07057007],"category_scores_gemma":[0.03792573,0.001045201,0.003847521,0.003578411,0.005141664,0.007764084,0.003433672,0.01049661,0.02701772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005925539,"about_ca_system_score_gemma":0.004110681,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01200913,"about_ca_topic_score_gemma":0.01287488,"domain_scores_codex":[0.9924744,0.001113044,0.0007869404,0.001379646,0.003717536,0.0005285392],"domain_scores_gemma":[0.9813392,0.003372171,0.001270277,0.00298369,0.01024983,0.0007848896],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004924779,0.00001751832,0.0001205992,0.0001408098,0.00003394355,0.0002525358,0.0001136929,0.0001852855,0.0002010081,0.08147153,0.9115208,0.00589315],"study_design_scores_gemma":[0.00008544137,0.00005122795,0.001831502,0.0002201847,0.00007723078,0.001139175,0.000123126,0.002359964,0.0007250451,0.2155305,0.777739,0.0001175455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"editorial","genre_gemma":"methods","genre_scores_codex":[0.002612726,0.005946822,0.02050726,0.2410842,0.6521393,0.0001085753,0.004897929,0.002990355,0.06971293],"genre_scores_gemma":[0.1131859,0.009041269,0.03529703,0.1108571,0.2126904,0.0003729434,0.00374458,0.005793214,0.5090174],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.07057007,"threshold_uncertainty_score":0.2360805,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4367677360","doi":"10.1515/forum-2022-0324","title":"On the number of rational points of certain algebraic varieties over finite fields","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Combinatorics; Exponent; Mathematics; Algebraic number; Algebra over a field; Mathematical analysis; Pure mathematics","authors":[{"name":"Guangyan Zhu","is_ca":false},{"name":"Siao Hong","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0166389987825122,"gpt":0.2532689212513245,"spread":0.2366299224688123,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001896134,0.0008610734,0.0009710935,0.005143048,0.002405657,0.005343162,0.001343892,0.0011278,0.01040912],"category_scores_gemma":[0.00709265,0.0004877992,0.0006664739,0.002229587,0.005173265,0.005015773,0.001981926,0.002067656,0.0009540642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00313683,"about_ca_system_score_gemma":0.0005731808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001302905,"about_ca_topic_score_gemma":0.0009672776,"domain_scores_codex":[0.998725,0.000285821,0.00007996285,0.0002705717,0.0003957891,0.0002428009],"domain_scores_gemma":[0.9941691,0.003257124,0.0009344667,0.0002904361,0.0005826623,0.0007662696],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007802389,0.000102572,0.01068314,0.0002117081,0.00007506344,0.0004947771,0.0006819691,0.007059302,0.003874097,0.9563022,0.002188427,0.01754657],"study_design_scores_gemma":[0.0001532695,0.0001862369,0.01040971,0.0001643517,0.00007810463,0.0007120904,0.0009254149,0.02548897,0.006199764,0.9485137,0.007082459,0.00008582911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9324715,0.00117002,0.01805629,0.001797018,0.0001480795,0.00004353254,0.0005118658,0.0001531909,0.04564841],"genre_scores_gemma":[0.9906123,0.0003904653,0.003096878,0.00004068365,0.0001767903,0.00003136105,0.0003096113,0.00002516797,0.005316712],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01040912,"threshold_uncertainty_score":0.03482199,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2986432829","doi":"10.1515/forum-2019-0260","title":"Explicit presentation of an Iwasawa algebra: The case of pro-<i>p</i> Iwahori subgroup of SL<sub> <i>n</i> </sub>(ℤ<sub> <i>p</i> </sub>)","year":2019,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics; Group (periodic table); Algebra over a field; Physics; Pure mathematics","authors":[{"name":"Jishnu Ray","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01644766173909484,"gpt":0.2625250463986953,"spread":0.2460773846596004,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000525401,0.000431569,0.0004531745,0.0009956297,0.001682695,0.002560784,0.0006707007,0.0007797427,0.005780041],"category_scores_gemma":[0.0006624603,0.0002653742,0.0005595128,0.0007241046,0.002191884,0.003596482,0.001468525,0.001129007,0.0008253649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008627422,"about_ca_system_score_gemma":0.0005030308,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005217206,"about_ca_topic_score_gemma":0.000403784,"domain_scores_codex":[0.9995683,0.00007411403,0.00003374503,0.00008310928,0.0001294271,0.0001113171],"domain_scores_gemma":[0.9996783,0.00004418446,0.00005733801,0.00003747716,0.00006695653,0.0001158054],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002567753,0.00002362281,0.0002134191,0.00001987691,0.000002608412,0.0004051432,0.000628437,0.0002610448,0.003948151,0.9917788,0.000521814,0.00217142],"study_design_scores_gemma":[0.00002556731,0.0000678595,0.0004251698,0.00001919132,0.000007903543,0.0007813756,0.0007217489,0.004952047,0.005152042,0.9793293,0.008487816,0.00003005879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7194509,0.0005786214,0.1327054,0.001673712,0.0005652893,0.000102422,0.0001822742,0.0003634683,0.1443779],"genre_scores_gemma":[0.9738613,0.000154134,0.01294121,0.0001599695,0.0001872561,0.00003882739,0.00007181391,0.00006432926,0.01252108],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005780041,"threshold_uncertainty_score":0.01933616,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3121015740","doi":"10.1515/forum-2022-0269","title":"Sublinearly Morse boundaries from the viewpoint of combinatorics","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Queen's University","funders":"","keywords":"Hyperplane; Mathematics; Combinatorics; Geodesic; Boundary (topology); Subspace topology; Vertex (graph theory); Graph; Geometry; Mathematical analysis","authors":[{"name":"Merlin Incerti-Medici","is_ca":false},{"name":"Abdul Zalloum","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05169675815522578,"gpt":0.3083639687264247,"spread":0.2566672105711989,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000454578,0.0006218496,0.0004413295,0.001318512,0.001209795,0.002107495,0.0005626461,0.0006282071,0.01092716],"category_scores_gemma":[0.001950625,0.0002842899,0.0005598523,0.0003552868,0.003288739,0.004193059,0.002988569,0.002161716,0.001458599],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00140708,"about_ca_system_score_gemma":0.0003623014,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00108692,"about_ca_topic_score_gemma":0.0007434552,"domain_scores_codex":[0.9994127,0.0001053001,0.00002585685,0.0001297508,0.0001800025,0.0001464717],"domain_scores_gemma":[0.9990146,0.0002896926,0.0001454312,0.0001391586,0.0001675428,0.0002435853],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005074406,0.00002251286,0.0006116231,0.00003658124,0.000007435389,0.0001644359,0.0005176479,0.0009939759,0.00272376,0.9897379,0.0007683077,0.004364919],"study_design_scores_gemma":[0.00002893394,0.00008161335,0.0009743595,0.00004135088,0.00001692372,0.0003276249,0.0007258925,0.009092286,0.006362884,0.9694287,0.01289477,0.00002461101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7335649,0.0008186558,0.0935187,0.002368059,0.0002807835,0.00006218841,0.000197035,0.0007463219,0.1684434],"genre_scores_gemma":[0.9752539,0.0002939041,0.006257487,0.0002756206,0.0001441117,0.00004042975,0.0001567976,0.0001373928,0.01744024],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01092716,"threshold_uncertainty_score":0.03655505,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2011737806","doi":"10.1515/forum.2006.047","title":"On the structure and characters of weight modules","year":2006,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Simple (philosophy); Lie superalgebra; Pure mathematics; Simple module; Character (mathematics); Algebra over a field; Lie algebra; Type (biology); Affine Lie algebra; Geometry","authors":[{"name":"Dimitar Grantcharov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01064792666598959,"gpt":0.227119141178131,"spread":0.2164712145121414,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005421477,0.0006473723,0.0004782619,0.001975016,0.001194678,0.002406836,0.0006786881,0.001111465,0.003880125],"category_scores_gemma":[0.002209666,0.0003467681,0.0003539592,0.001401063,0.003194563,0.004109779,0.001735486,0.001142264,0.0007195563],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007602955,"about_ca_system_score_gemma":0.0003759459,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004764723,"about_ca_topic_score_gemma":0.0004055771,"domain_scores_codex":[0.9996635,0.00009083801,0.00001208013,0.00005191222,0.0001001176,0.0000816926],"domain_scores_gemma":[0.9993505,0.0001841771,0.0001158215,0.00005818406,0.0001053236,0.0001860009],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002259849,0.00002288432,0.0004232322,0.00002253297,0.000003548324,0.0001459391,0.0005535193,0.0009090347,0.001391901,0.9926078,0.0004199572,0.003477159],"study_design_scores_gemma":[0.000009019292,0.00002503102,0.000487772,0.00002059703,0.000003933925,0.0001906576,0.0001299701,0.004585615,0.000561397,0.9915005,0.002473212,0.00001228279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8515701,0.00197482,0.04371316,0.001570905,0.0002401348,0.00003197553,0.000179863,0.0001086272,0.1006104],"genre_scores_gemma":[0.9744809,0.0008699719,0.005331379,0.0001482551,0.0003858103,0.00002798278,0.0001060043,0.00005027547,0.01859941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003880125,"threshold_uncertainty_score":0.01298028,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2058229666","doi":"10.1515/forum.2009.041","title":"Eigentheory of Cayley-Dickson algebras","year":2009,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Algebraic number; Algebra over a field; Algebraic properties; Universal algebra; Algebraic structure","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02345655658835887,"gpt":0.2972577623191651,"spread":0.2738012057308062,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006308315,0.0003698471,0.0003092413,0.001544692,0.00126845,0.00198039,0.000541686,0.0004592348,0.006218292],"category_scores_gemma":[0.000907627,0.0002056506,0.0004677816,0.0008342444,0.001712394,0.002992238,0.001142002,0.001154365,0.0007710705],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008802602,"about_ca_system_score_gemma":0.0004877797,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001145836,"about_ca_topic_score_gemma":0.001272294,"domain_scores_codex":[0.9996595,0.00008607902,0.00001714491,0.00005799649,0.0001134495,0.00006575374],"domain_scores_gemma":[0.9995368,0.0001249911,0.00004914609,0.00007652451,0.0001346811,0.00007802191],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000001448673,0.000003169431,0.00005926371,0.000004125184,9.586975e-7,0.00001753196,0.00005255815,0.0001558725,0.0002265985,0.998273,0.000335981,0.0008694523],"study_design_scores_gemma":[0.000002446218,0.000006593434,0.0001827149,0.000004543454,0.000002379162,0.00008189709,0.00008096574,0.003149095,0.000399893,0.9921438,0.003939067,0.000006747264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3939109,0.001748782,0.2981885,0.002333168,0.0005630418,0.00005035833,0.0003697894,0.0004750221,0.3023605],"genre_scores_gemma":[0.9492195,0.0008173283,0.02519853,0.0004792938,0.0003414572,0.00003374573,0.0001980688,0.00009258469,0.02361944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006218292,"threshold_uncertainty_score":0.02080226,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4221010321","doi":"10.1515/forum-2021-0171","title":"Sums of divisor functions and von Mangoldt convolutions in 𝔽<sub> <i>q</i> </sub>[<i>T</i>] leading to symplectic distributions","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Divisor (algebraic geometry); Mathematics; Combinatorics; Symplectic geometry; Physics; Pure mathematics","authors":[{"name":"Vivian Kuperberg","is_ca":false},{"name":"Matilde Laĺın","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03415807005694482,"gpt":0.303460906609531,"spread":0.2693028365525862,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001757871,0.0007300013,0.0009419193,0.002775677,0.001700408,0.002415903,0.0009872782,0.0006962715,0.007172677],"category_scores_gemma":[0.005315084,0.000538849,0.001106143,0.001106775,0.003598012,0.003816749,0.001988154,0.001685627,0.0009498875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002147841,"about_ca_system_score_gemma":0.0009654823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00125909,"about_ca_topic_score_gemma":0.001450326,"domain_scores_codex":[0.9991559,0.000205084,0.00004702375,0.0001287702,0.0002783623,0.000184881],"domain_scores_gemma":[0.9980135,0.0008520893,0.0002406461,0.000176729,0.0003028306,0.0004142339],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002786734,0.0000153533,0.0002978884,0.0000230407,0.00000903226,0.0001790745,0.000196061,0.001452673,0.000595768,0.9932671,0.0007588234,0.003177425],"study_design_scores_gemma":[0.00001225975,0.00001773731,0.0005335908,0.0000185302,0.000009262161,0.0003005138,0.00007826604,0.0328379,0.001255099,0.9633557,0.001557257,0.0000240781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.673103,0.001381354,0.2490067,0.00167958,0.000507804,0.00005664852,0.0002558942,0.0005127443,0.0734961],"genre_scores_gemma":[0.9623093,0.0003482437,0.01922809,0.0002062009,0.0002691966,0.00004513445,0.0001088444,0.0003015368,0.01718341],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007172677,"threshold_uncertainty_score":0.02399498,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2804428299","doi":"10.1515/forum-2016-0266","title":"Star-group identities on units of group algebras: The non-torsion case","year":2017,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Torsion (gastropod); Mathematics; Combinatorics; Stereochemistry; Chemistry; Biology","authors":[{"name":"Antonio Giambruno","is_ca":false},{"name":"César Polcino Milies","is_ca":false},{"name":"Sudarshan K. Sehgal","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08451043951352885,"gpt":0.3482171436346259,"spread":0.263706704121097,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00102926,0.0004049228,0.0005701095,0.001142881,0.001913277,0.002694718,0.0006844994,0.0008622092,0.009938746],"category_scores_gemma":[0.001659799,0.0003183093,0.0007919499,0.0008168307,0.003330612,0.005733828,0.00210576,0.001283841,0.001611604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001166831,"about_ca_system_score_gemma":0.0007605329,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001049795,"about_ca_topic_score_gemma":0.0009931655,"domain_scores_codex":[0.999124,0.0001917618,0.00006831142,0.0001466143,0.0002400987,0.0002291528],"domain_scores_gemma":[0.9990547,0.0001754968,0.0001238159,0.000146162,0.0001808431,0.0003189264],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002196291,0.00001735553,0.0001457701,0.00001473318,0.000002390056,0.0001303543,0.0002684185,0.0001894556,0.0005420946,0.9954728,0.0005239368,0.002670643],"study_design_scores_gemma":[0.00001525016,0.00002673415,0.000125974,0.000009596826,0.000003718711,0.0001124415,0.0002094882,0.001903611,0.0009648852,0.9936091,0.003011782,0.000007435483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6430855,0.0009812823,0.1486333,0.001955531,0.0009460974,0.0001354459,0.0002488377,0.0005431229,0.2034708],"genre_scores_gemma":[0.962468,0.0002819561,0.01177498,0.000195675,0.0002235458,0.00004948362,0.0001130691,0.00008793775,0.02480535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009938746,"threshold_uncertainty_score":0.03324842,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4214906301","doi":"10.1515/forum-2020-0251","title":"The Shintani double zeta functions","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Dirichlet series; Selberg trace formula; Analytic number theory; Pure mathematics; Dirichlet distribution; TRACE (psycholinguistics); Class number formula; Riemann zeta function; Functional equation; Arithmetic zeta function; Symplectic geometry; Dirichlet eta function; General Dirichlet series; Mathematical analysis; Differential equation","authors":[{"name":"Henry H. Kim","is_ca":true},{"name":"Masao Tsuzuki","is_ca":false},{"name":"Satoshi Wakatsuki","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03215591388491812,"gpt":0.2986019023392993,"spread":0.2664459884543812,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005031396,0.0005720837,0.0005428422,0.002402521,0.0008698587,0.001495507,0.0007679511,0.0005526161,0.004554561],"category_scores_gemma":[0.001812109,0.0002076917,0.0004342017,0.0006866378,0.001856152,0.002789016,0.001102623,0.001061601,0.0006146693],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007530184,"about_ca_system_score_gemma":0.0003830635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004230296,"about_ca_topic_score_gemma":0.0003735101,"domain_scores_codex":[0.9998084,0.0000255909,0.00001236086,0.00004010211,0.00007338027,0.00004012965],"domain_scores_gemma":[0.9996541,0.00005180155,0.00004633424,0.00004460823,0.0001111528,0.00009201824],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000264462,0.00001908774,0.0009448497,0.00005114637,0.000007182719,0.0003488036,0.0002299359,0.002191179,0.00509464,0.9801221,0.000535404,0.01042931],"study_design_scores_gemma":[0.00001606115,0.00004167901,0.002265229,0.00007077084,0.00001625274,0.001256948,0.000412175,0.04660568,0.006594533,0.9339758,0.008705041,0.00003999182],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7414811,0.001213616,0.1694651,0.0008838102,0.0004047991,0.00004380682,0.00007830226,0.0002493439,0.0861802],"genre_scores_gemma":[0.9823992,0.0004140565,0.00713532,0.00006998681,0.0001659862,0.00002221754,0.00004112939,0.00005858178,0.009693647],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004554561,"threshold_uncertainty_score":0.01523656,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1964094131","doi":"10.1515/forum.2010.042","title":"A parametrix for Kohn's operator","year":2010,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Princeton University","keywords":"Parametrix; Hypoelliptic operator; Mathematics; Lipschitz continuity; Operator (biology); Pure mathematics; Class (philosophy); Construct (python library); Operator theory; Algebra over a field; Mathematical analysis; Fourier integral operator; Semi-elliptic operator; Differential operator; Chemistry","authors":[{"name":"Brian Street","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03400684914671891,"gpt":0.3367337250389841,"spread":0.3027268758922652,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008543407,0.0004473048,0.0003629693,0.0006864759,0.0008628659,0.00121619,0.0005255347,0.0008676151,0.004415474],"category_scores_gemma":[0.001974312,0.0002585637,0.0004745316,0.0004300942,0.002138365,0.002818084,0.001790113,0.001592743,0.0006358857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007486242,"about_ca_system_score_gemma":0.0002392414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002418253,"about_ca_topic_score_gemma":0.0001645991,"domain_scores_codex":[0.99965,0.00008772129,0.00001834076,0.00006864755,0.0001437199,0.00003157939],"domain_scores_gemma":[0.9995975,0.0001041993,0.00006317158,0.0001011941,0.00006557745,0.00006839517],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001850148,0.000005386057,0.000104841,0.00002344273,0.000003561477,0.00006742302,0.0001280744,0.001500233,0.004971538,0.9894434,0.0003616783,0.003371899],"study_design_scores_gemma":[0.0000232321,0.00007123701,0.000515573,0.00003958982,0.00001060289,0.0005712311,0.0002134954,0.03821535,0.005386059,0.9387411,0.01617354,0.00003900601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3299257,0.002128568,0.5744891,0.002460303,0.000413941,0.000103566,0.0002109008,0.0003791338,0.08988874],"genre_scores_gemma":[0.9078193,0.0007800437,0.07164956,0.000232942,0.0001284047,0.00008039012,0.0001006546,0.0001153589,0.01909331],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004415474,"threshold_uncertainty_score":0.01477128,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4407432513","doi":"10.1515/forum-2024-0376","title":"Local Birkhoff decompositions for loop groups and a finiteness result","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Loop (graph theory); Pure mathematics; Algebra over a field; Combinatorics","authors":[{"name":"Manish M. Patnaik","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02879924841946112,"gpt":0.338884118969006,"spread":0.3100848705495449,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008874443,0.0006473853,0.0005794151,0.001975356,0.001874961,0.002150202,0.0007282378,0.0007023832,0.01421181],"category_scores_gemma":[0.001560935,0.0003138545,0.0008619304,0.000729787,0.002864311,0.004630439,0.002579943,0.002445497,0.001908296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001289166,"about_ca_system_score_gemma":0.0004356322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001067712,"about_ca_topic_score_gemma":0.0008839419,"domain_scores_codex":[0.9993605,0.00009912126,0.00002823932,0.0001415586,0.0001691144,0.0002014538],"domain_scores_gemma":[0.9990634,0.0003112252,0.0001079413,0.0001281409,0.000172552,0.000216722],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002285343,0.00001573159,0.0001636815,0.00002046248,0.000003993579,0.00005010845,0.0002840657,0.0002577261,0.0005838797,0.9940342,0.0007484331,0.003814853],"study_design_scores_gemma":[0.00001332982,0.00002218303,0.0002459387,0.00001299441,0.000006602325,0.00005775164,0.0001523353,0.001726898,0.0006797406,0.9940408,0.003032017,0.000009451525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5035254,0.001469505,0.1781456,0.002433076,0.0004254855,0.0000782667,0.0003571508,0.0009786105,0.312587],"genre_scores_gemma":[0.9679759,0.0002678735,0.009562141,0.0003286709,0.0002057111,0.00004651277,0.0002320809,0.0001159021,0.02126516],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01421181,"threshold_uncertainty_score":0.04754323,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4387300415","doi":"10.1515/forum-2023-0049","title":"On the Iwasawa invariants of BDP Selmer groups and BDP<i>p</i>-adic<i>L</i>-functions","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval; University of Ottawa","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","authors":[{"name":"Antonio Lei","is_ca":true},{"name":"Katharina Müller","is_ca":true},{"name":"Jiacheng Xia","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03357984684944514,"gpt":0.2680760461723631,"spread":0.2344961993229179,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005403063,0.0007077061,0.0005265107,0.002941807,0.001253923,0.00197371,0.0004865703,0.0005001432,0.005800681],"category_scores_gemma":[0.001312202,0.0002944581,0.0005493085,0.001202397,0.00263522,0.002410398,0.001517288,0.001430599,0.0009613938],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00127587,"about_ca_system_score_gemma":0.0005136472,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009842654,"about_ca_topic_score_gemma":0.0005278946,"domain_scores_codex":[0.9996455,0.00005600245,0.00001725341,0.00006659124,0.0001028231,0.0001118399],"domain_scores_gemma":[0.9994097,0.0001383934,0.0001478871,0.00006622585,0.00008545387,0.0001524298],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008405092,0.00003622799,0.0007831539,0.00002546622,0.000009443771,0.0001908292,0.0004964984,0.001242657,0.001941604,0.9852938,0.00112731,0.008768922],"study_design_scores_gemma":[0.00002230917,0.00005043902,0.001497532,0.00002828137,0.00001229745,0.0002231022,0.000254553,0.006857894,0.002555493,0.9838257,0.004644811,0.00002757722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8374906,0.0007377106,0.04440689,0.001170648,0.0002095455,0.00004360509,0.0001583057,0.0002422774,0.1155405],"genre_scores_gemma":[0.9883987,0.0002980583,0.002696467,0.0001111566,0.0001741335,0.00002574173,0.0001001061,0.00003619708,0.008159377],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005800681,"threshold_uncertainty_score":0.01940525,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4390707157","doi":"10.1515/forum-2023-0091","title":"An explicit version of Bombieri’s log-free density estimate and Sárközy’s theorem for shifted primes","year":2024,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Physics","authors":[{"name":"Jesse Thorner","is_ca":false},{"name":"Asif Zaman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03235180648339056,"gpt":0.3493355595845346,"spread":0.316983753101144,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002591402,0.00103279,0.00114698,0.003378844,0.001938627,0.002688819,0.002275402,0.001298815,0.01661786],"category_scores_gemma":[0.01555414,0.0007796595,0.001537968,0.001781327,0.003739992,0.009308415,0.004421773,0.006494044,0.002875362],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002232191,"about_ca_system_score_gemma":0.0008041093,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002731775,"about_ca_topic_score_gemma":0.00177585,"domain_scores_codex":[0.9983029,0.0002919454,0.00006045492,0.0003201672,0.0007542454,0.0002701473],"domain_scores_gemma":[0.9941176,0.003383805,0.0002933639,0.0007807112,0.0008767481,0.0005478921],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003897336,0.00002117967,0.0004885936,0.0000996919,0.000009054282,0.0001336719,0.0002139659,0.001860172,0.001148081,0.9799567,0.006235012,0.009794941],"study_design_scores_gemma":[0.0000139558,0.00001809194,0.0007903408,0.000042143,0.00001647928,0.0002409757,0.00006394965,0.0204298,0.001839429,0.9647073,0.0118057,0.00003201048],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1413542,0.004431036,0.6134971,0.01321428,0.001622238,0.0001196123,0.0009428266,0.001433079,0.2233856],"genre_scores_gemma":[0.8740329,0.002769987,0.05176597,0.002853931,0.00214263,0.0002110496,0.0008580561,0.0009192903,0.06444612],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01661786,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962951933","doi":"10.1515/form.2002.023","title":"Four-manifolds which admit {Z_p x Z_p} actions","year":2002,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Combinatorics","authors":[{"name":"Michael P. McCooey","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1106224098163638,"gpt":0.3042477653400462,"spread":0.1936253555236824,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001387247,0.0005868429,0.0003283012,0.001290743,0.001276203,0.001470231,0.0005192145,0.0004591724,0.003618897],"category_scores_gemma":[0.0004256813,0.0003148759,0.0005200987,0.0006108881,0.001736003,0.002025666,0.002684876,0.000683195,0.0003686055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004582242,"about_ca_system_score_gemma":0.0002368341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005925386,"about_ca_topic_score_gemma":0.0006874619,"domain_scores_codex":[0.9998323,0.0000170891,0.00001151111,0.00003426084,0.00004812777,0.00005662352],"domain_scores_gemma":[0.9998158,0.00003062806,0.00005826658,0.00003251971,0.00001832548,0.00004446083],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001012192,0.00003367274,0.003648608,0.00007406671,0.00004156375,0.001228503,0.0008061244,0.003115595,0.01815872,0.9528713,0.0008697989,0.01905094],"study_design_scores_gemma":[0.00005092016,0.0001167613,0.00695212,0.00002713052,0.00009539385,0.001638861,0.001327064,0.01291626,0.01704912,0.9470117,0.01276888,0.00004582271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9635016,0.0001347615,0.01332719,0.0001798434,0.00002845981,0.00001885826,0.00006734796,0.0001765767,0.02256526],"genre_scores_gemma":[0.9926196,0.0001220484,0.004041701,0.00003416063,0.00001440203,0.00001688647,0.0001191126,0.00001609705,0.003015931],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003618897,"threshold_uncertainty_score":0.01210642,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2074289133","doi":"10.1515/forum-2012-0061","title":"On hypersurfaces containing projective varieties","year":2013,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"National Research Foundation of Korea","keywords":"Variety (cybernetics); Codimension; Mathematics; Projective variety; Lemma (botany); Pure mathematics; Generalization; Fano plane; Degree (music); Twisted cubic; Projective space; Quadratic equation; Projective test; Mathematical analysis; Complex projective space; Geometry; Physics","authors":[{"name":"Euisung Park","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02061202527224026,"gpt":0.2497337853076217,"spread":0.2291217600353815,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008807322,0.0009935228,0.001246614,0.002884331,0.002284283,0.002904943,0.001026241,0.0009497667,0.007222996],"category_scores_gemma":[0.003060992,0.0005843003,0.001118156,0.002196108,0.003167928,0.003677233,0.002980107,0.001841159,0.0009063322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002348402,"about_ca_system_score_gemma":0.0004868738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002404175,"about_ca_topic_score_gemma":0.001482484,"domain_scores_codex":[0.9980472,0.0003346495,0.0001174964,0.0003740532,0.0007119937,0.000414604],"domain_scores_gemma":[0.9984452,0.0005961451,0.0003237449,0.0001591013,0.0001840317,0.0002918509],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001536298,0.00007051148,0.002949359,0.000147136,0.00004356013,0.001009683,0.0006621007,0.007849807,0.004740545,0.9656511,0.002821519,0.01390112],"study_design_scores_gemma":[0.00007340411,0.00008844418,0.004596858,0.0000527708,0.00003808322,0.0007276917,0.000287161,0.0313444,0.003172765,0.9467996,0.01277231,0.00004647853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8963757,0.001725644,0.0340817,0.0007972114,0.0001787102,0.00007986249,0.0005039698,0.0002149567,0.06604235],"genre_scores_gemma":[0.981392,0.000572471,0.004839876,0.00007047947,0.0002376589,0.00003355025,0.0006147809,0.00004578504,0.01219339],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007222996,"threshold_uncertainty_score":0.02416337,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2261330816","doi":"10.1515/forum-2015-0034","title":"Vector valued theta functions associated with binary quadratic forms","year":2015,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Scalar (mathematics); Pure mathematics; Quadratic equation; Discriminant; Rank (graph theory); Theta function; Vector space; Lattice (music); Binary number; Basis (linear algebra); Space (punctuation); Representation (politics); Combinatorics; Physics; Arithmetic; Computer science; Artificial intelligence; Geometry","authors":[{"name":"Stephan Ehlen","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04931828843072152,"gpt":0.3051038322356773,"spread":0.2557855438049558,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009650582,0.0008355942,0.0006931872,0.003174683,0.001147543,0.003234513,0.0007377923,0.0008482501,0.006770633],"category_scores_gemma":[0.001958351,0.0003177917,0.0004266733,0.001269478,0.00304198,0.003073703,0.001615111,0.001468267,0.0007726173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009456316,"about_ca_system_score_gemma":0.0005492821,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004358661,"about_ca_topic_score_gemma":0.0002521074,"domain_scores_codex":[0.9993697,0.0001521076,0.00001972287,0.00006779966,0.0001904731,0.0002001529],"domain_scores_gemma":[0.9992313,0.0001654428,0.0001383544,0.00005907266,0.0001259518,0.0002799886],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006138715,0.00003778304,0.0003914989,0.00002358079,0.00000502473,0.0001259775,0.0002441781,0.001198043,0.001990681,0.9918498,0.0005013064,0.003570757],"study_design_scores_gemma":[0.0000437926,0.00007223334,0.0007061168,0.0000293234,0.000006808644,0.0003489395,0.0003188924,0.01768032,0.001573412,0.9771038,0.002076978,0.0000392694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9290919,0.0003122405,0.04376526,0.0006969165,0.0002359216,0.00002912055,0.0001314104,0.0001364851,0.02560083],"genre_scores_gemma":[0.9891411,0.0001782418,0.002826658,0.00006430868,0.0002104476,0.00002808942,0.00008258381,0.00005754112,0.007411019],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006770633,"threshold_uncertainty_score":0.02265006,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3003537914","doi":"10.1515/forum-2020-0025","title":"Automorphic Schwarzian equations","year":2020,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Ottawa","funders":"","keywords":"Eisenstein series; Equivariant map; Mathematics; Complex plane; Modular form; Automorphic form; Pure mathematics; Representation theory; Series (stratigraphy); Differential equation; Functional equation; Mathematical physics; Mathematical analysis","authors":[{"name":"Abdellah Sebbar","is_ca":true},{"name":"Hicham Saber","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09849174930093046,"gpt":0.3487907550641315,"spread":0.250299005763201,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000475492,0.0004622183,0.0004864731,0.001261774,0.0007557886,0.001157148,0.0003863696,0.0005775256,0.01055756],"category_scores_gemma":[0.001400021,0.0001876705,0.0006003627,0.0007095051,0.001504639,0.00135279,0.001287799,0.001145042,0.0013996],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001064242,"about_ca_system_score_gemma":0.0005783643,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001761964,"about_ca_topic_score_gemma":0.001590827,"domain_scores_codex":[0.9996532,0.0001098084,0.00001473808,0.00005380292,0.00011006,0.00005828361],"domain_scores_gemma":[0.9995994,0.0001158251,0.00004788387,0.00004070919,0.0001168429,0.00007929863],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006855671,0.000005596231,0.0001549663,0.00001661418,0.000003801782,0.00005482647,0.000078741,0.0007264304,0.0004641689,0.9946443,0.001161141,0.002682753],"study_design_scores_gemma":[0.000009320883,0.00001684634,0.0004140921,0.00001313955,0.000004862334,0.0001452142,0.00007711144,0.01419338,0.0003995479,0.978754,0.005962513,0.000009932822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4780552,0.002391327,0.1697842,0.00453861,0.0008965826,0.00006716092,0.0004451026,0.0004716984,0.34335],"genre_scores_gemma":[0.9004951,0.0008968212,0.01039257,0.0005931681,0.0005506225,0.00003117181,0.0002494683,0.0001293542,0.08666188],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01055756,"threshold_uncertainty_score":0.03531855,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963182019","doi":"10.1515/forum-2013-0082","title":"Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms","year":2014,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Physics; Combinatorics; Mathematics","authors":[{"name":"Wei Sun","is_ca":true},{"name":"Jing Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02734085561863018,"gpt":0.3167129491160374,"spread":0.2893720934974072,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001682086,0.000616931,0.0009945214,0.002215398,0.001595167,0.003661622,0.001299857,0.001397924,0.01578551],"category_scores_gemma":[0.004502026,0.0003759527,0.001125328,0.001036651,0.00326735,0.003283214,0.002503662,0.002366067,0.002102782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002134999,"about_ca_system_score_gemma":0.0009034614,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001112816,"about_ca_topic_score_gemma":0.0008257338,"domain_scores_codex":[0.9990778,0.0002475735,0.0000360052,0.0001512695,0.0002757079,0.0002116375],"domain_scores_gemma":[0.9981909,0.0005592808,0.000230069,0.0002246996,0.0003535682,0.0004414766],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001464647,0.00001167745,0.00008761157,0.00001183777,0.000003230751,0.00004451059,0.00008682173,0.0005437154,0.0002523859,0.9959404,0.0007803385,0.002222841],"study_design_scores_gemma":[0.00001211355,0.00001109756,0.0001310817,0.000009435696,0.000002039929,0.00006236332,0.0000500345,0.01061547,0.0002200324,0.9875996,0.001273472,0.00001329308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5099519,0.001390573,0.2792021,0.005849745,0.001072593,0.0001025992,0.0006079243,0.000668741,0.2011538],"genre_scores_gemma":[0.9324434,0.0004402818,0.01800753,0.0005746614,0.0006431214,0.0001022038,0.0003180724,0.0002480324,0.04722262],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01578551,"threshold_uncertainty_score":0.05280781,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4224224927","doi":"10.1515/forum-2021-0203","title":"Iwasawa invariants for elliptic curves over ℤ<sub> <i>p</i> </sub>-extensions and Kida's formula","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Elliptic curve; Pure mathematics; Algebra over a field","authors":[{"name":"Debanjana Kundu","is_ca":true},{"name":"Anwesh Ray","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02329994128165262,"gpt":0.2686915294584959,"spread":0.2453915881768433,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004709151,0.000551754,0.0005052581,0.002118125,0.0008589718,0.001567197,0.0004161357,0.0004370606,0.004185956],"category_scores_gemma":[0.001768832,0.0002267288,0.0006058401,0.0007140379,0.002004233,0.00263934,0.001212597,0.0009198157,0.0005775586],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008892204,"about_ca_system_score_gemma":0.0003336288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005541043,"about_ca_topic_score_gemma":0.0003287792,"domain_scores_codex":[0.9997652,0.00003207703,0.00001363236,0.00004890799,0.00006633413,0.000073859],"domain_scores_gemma":[0.9991604,0.0002302268,0.0002186479,0.00006788436,0.00008986076,0.0002330353],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001660491,0.00008525038,0.005403111,0.0000694592,0.00001886424,0.0007183795,0.0009441361,0.004659852,0.008281009,0.966502,0.001162588,0.01198938],"study_design_scores_gemma":[0.00005128159,0.0001664772,0.007973226,0.00006786596,0.0000360967,0.0008078397,0.0007090846,0.0445892,0.009273803,0.9312707,0.004998473,0.00005591064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9611124,0.0003140954,0.01605859,0.0004280054,0.00005860237,0.0000225696,0.00006619823,0.00009337316,0.02184629],"genre_scores_gemma":[0.993349,0.0001948187,0.002116093,0.00003111759,0.00006433518,0.00001887449,0.00004704031,0.00002071797,0.004158098],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004185956,"threshold_uncertainty_score":0.0140034,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2604503215","doi":"10.1515/forum-2017-0222","title":"Large sums of Hecke eigenvalues of holomorphic cusp forms","year":2018,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Cusp form; Holomorphic function; Cusp (singularity); Mathematics; Modular form; Combinatorics; Lambda; Eigenvalues and eigenvectors; Riemann hypothesis; Type (biology); Mathematical analysis; Pure mathematics; Physics; Geometry; Quantum mechanics","authors":[{"name":"Youness Lamzouri","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0747439724006125,"gpt":0.3713331427594842,"spread":0.2965891703588717,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001155516,0.0009199099,0.001224607,0.003335965,0.001810911,0.002535536,0.00115102,0.001125075,0.009646171],"category_scores_gemma":[0.006027246,0.0007220405,0.0007535581,0.001002383,0.002643315,0.003778853,0.002217318,0.00142887,0.001070912],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001113581,"about_ca_system_score_gemma":0.0004949475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003680873,"about_ca_topic_score_gemma":0.0005059401,"domain_scores_codex":[0.9990715,0.0001535441,0.00004197165,0.0001742144,0.0003747732,0.0001840372],"domain_scores_gemma":[0.9979899,0.0007132743,0.0002424538,0.0002267227,0.0002616383,0.0005660595],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000367083,0.000174596,0.00356424,0.0002266938,0.00007544171,0.001423181,0.0007619299,0.005214223,0.01053829,0.9575058,0.005121196,0.01502736],"study_design_scores_gemma":[0.00008474537,0.00009012129,0.006192721,0.0000813423,0.00004906328,0.001316301,0.0003313424,0.05361497,0.004903798,0.9296709,0.00356038,0.0001044364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9303879,0.0005899948,0.04037308,0.0008598819,0.000363905,0.00003601522,0.0001858212,0.0003592324,0.02684417],"genre_scores_gemma":[0.9833847,0.0002228515,0.005206822,0.0001203837,0.000385482,0.00005420318,0.0001660757,0.0001475952,0.0103119],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009646171,"threshold_uncertainty_score":0.03226966,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1986270090","doi":"10.1515/forum-2011-0038","title":"Weitzenböck derivations of nilpotency 3","year":2012,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Conjecture; Polynomial ring; Combinatorics; Polynomial; Locally nilpotent; Pure mathematics; Algebra over a field; Nilpotent group; Nilpotent; Mathematical analysis","authors":[{"name":"David L. Wehlau","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05608034129206906,"gpt":0.3197414367333842,"spread":0.2636610954413151,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004126016,0.0003590178,0.0002912962,0.0008644674,0.00139002,0.00121861,0.0003705141,0.0005302047,0.006028454],"category_scores_gemma":[0.0008880444,0.0001671348,0.0003957738,0.000524234,0.001550695,0.001469762,0.001438401,0.001049708,0.001561037],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001133174,"about_ca_system_score_gemma":0.0005984962,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008276224,"about_ca_topic_score_gemma":0.0006073519,"domain_scores_codex":[0.9995776,0.00009914865,0.00001791662,0.00005868372,0.0001452767,0.0001014316],"domain_scores_gemma":[0.9996855,0.00006308641,0.00002997143,0.00003612019,0.000119065,0.00006634149],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002478564,0.000009182764,0.0001708711,0.00001812908,0.000005204402,0.0001713343,0.0002276788,0.0007165112,0.001104094,0.9919364,0.001027588,0.004588216],"study_design_scores_gemma":[0.00001420426,0.00002101774,0.0002414666,0.00001302212,0.000005063604,0.000173749,0.0001568439,0.002956469,0.001515461,0.9794245,0.01546508,0.00001321575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5717597,0.001227685,0.102058,0.002635184,0.0006188984,0.00006791925,0.0003481914,0.0005128352,0.3207716],"genre_scores_gemma":[0.9466419,0.0003364042,0.01082856,0.0002939079,0.0001137056,0.00002983841,0.0001109416,0.0001100407,0.04153454],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006028454,"threshold_uncertainty_score":0.02016717,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2001674175","doi":"10.1515/form.2011.090","title":"Surgery obstructions on closed manifolds and the inertia subgroup","year":2010,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Inertia; Mathematics; Group (periodic table); Finitely-generated abelian group; Manifold (fluid mechanics); Character (mathematics); Pure mathematics; Combinatorics; 3-manifold; Surgery; Geometry; Physics; Medicine; Classical mechanics; Engineering","authors":[{"name":"Ian Hambleton","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03553946567584673,"gpt":0.2799024448265043,"spread":0.2443629791506576,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003006424,0.0007323383,0.0005335138,0.001774513,0.001275811,0.002009468,0.0005441292,0.0006554689,0.00409902],"category_scores_gemma":[0.0009874221,0.0002839329,0.0006690896,0.0006310633,0.003612407,0.002896511,0.003434046,0.001497429,0.00044245],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007564811,"about_ca_system_score_gemma":0.0004356439,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007669587,"about_ca_topic_score_gemma":0.0004786662,"domain_scores_codex":[0.999449,0.00007632319,0.00002923534,0.0001197389,0.0001482773,0.0001774777],"domain_scores_gemma":[0.9994799,0.00009425147,0.0001387798,0.00005589894,0.00003769622,0.0001934147],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006184703,0.00002765282,0.0009272045,0.00002176892,0.000007520691,0.0002222019,0.0008463882,0.0005172614,0.006762065,0.9854302,0.0004795696,0.004696295],"study_design_scores_gemma":[0.0000510027,0.0001375684,0.003782243,0.00002126874,0.00002178052,0.0005664714,0.0007509474,0.004849147,0.006245289,0.974637,0.008890239,0.00004698706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9399461,0.0003112933,0.02174324,0.0005099265,0.0001289043,0.00003367949,0.00007283677,0.00011787,0.03713619],"genre_scores_gemma":[0.9893244,0.0001579566,0.003582835,0.00006493724,0.0001195376,0.00003507865,0.0001142702,0.0000277676,0.006573166],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00409902,"threshold_uncertainty_score":0.01371258,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2972517792","doi":"10.1515/forum-2019-0275","title":"On hyperquadrics containing projective varieties","year":2020,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Tensor decomposition and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"National Research Foundation of Korea","keywords":"Variety (cybernetics); Mathematics; Codimension; Projective variety; Lemma (botany); Pure mathematics; Projective space; Degree (music); Fano plane; Generalization; Twisted cubic; Quadratic equation; Projective test; Combinatorics; Discrete mathematics; Mathematical analysis; Complex projective space; Geometry; Physics","authors":[{"name":"Euisung Park","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08712281804060903,"gpt":0.3454514891998677,"spread":0.2583286711592586,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006295573,0.000708963,0.0008534669,0.00322161,0.002279094,0.002982043,0.0008596317,0.0006934191,0.007418293],"category_scores_gemma":[0.001272278,0.0005714614,0.0009390049,0.002223216,0.003218379,0.002652489,0.002292493,0.001835518,0.0009637443],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002007391,"about_ca_system_score_gemma":0.0003489953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002285583,"about_ca_topic_score_gemma":0.00158869,"domain_scores_codex":[0.9986726,0.0002168127,0.00006632024,0.0002965209,0.000396936,0.0003508454],"domain_scores_gemma":[0.9990671,0.0002488517,0.0002273997,0.00007133965,0.000139938,0.0002453769],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001791054,0.00005491567,0.003566146,0.0001456628,0.00003740565,0.0007762138,0.0007975289,0.003563443,0.006683301,0.9637111,0.002266651,0.01821844],"study_design_scores_gemma":[0.00007974424,0.0002769534,0.01760825,0.0001359344,0.00007695149,0.002076093,0.0009556952,0.02190711,0.005452326,0.9226848,0.02864456,0.0001015579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8899857,0.002189026,0.0233588,0.0005462142,0.00019261,0.0000804766,0.0004721827,0.0001494821,0.08302545],"genre_scores_gemma":[0.9832795,0.0006191008,0.004006497,0.00008263601,0.0002593448,0.00003275012,0.0006652309,0.00003132002,0.01102354],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007418293,"threshold_uncertainty_score":0.02481669,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4220704089","doi":"10.1515/forum-2021-0075","title":"On the subring of special cycles","year":2022,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Subring; Mathematics; Cohomology; Pure mathematics; Series (stratigraphy); Modular form; Shimura variety; Algebra over a field; Combinatorics; Ring (chemistry)","authors":[{"name":"Stephen S. Kudla","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03233166132569935,"gpt":0.286360392843171,"spread":0.2540287315174716,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005485647,0.0004175977,0.0005105557,0.001727027,0.001224521,0.002035015,0.0002787256,0.0002523756,0.005205433],"category_scores_gemma":[0.001019465,0.0002801586,0.0005909999,0.0006548688,0.001765745,0.00207116,0.001798425,0.0006177091,0.0004975217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008469445,"about_ca_system_score_gemma":0.0003305338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007425945,"about_ca_topic_score_gemma":0.0005861421,"domain_scores_codex":[0.9993376,0.0001026969,0.00004047226,0.000157602,0.0001987431,0.0001628806],"domain_scores_gemma":[0.999348,0.00009318571,0.0001290661,0.0001088517,0.0001061379,0.0002147647],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001476235,0.00006023144,0.003167946,0.00006295187,0.00002532299,0.001011786,0.001234413,0.0008283501,0.01345949,0.9532731,0.001158679,0.02556996],"study_design_scores_gemma":[0.00005039436,0.0003412006,0.01050264,0.00006349403,0.00006880194,0.00242323,0.001477736,0.009620837,0.02260677,0.9176548,0.03511262,0.00007749773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.957031,0.0006139515,0.01046962,0.0001895808,0.00008019691,0.00002910099,0.00005750051,0.0001396977,0.03138927],"genre_scores_gemma":[0.989075,0.0002155969,0.002378146,0.00005768766,0.00007883689,0.0000139047,0.00008056273,0.00003707001,0.008063183],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005205433,"threshold_uncertainty_score":0.01741385,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3112469728","doi":"10.1515/forum-2020-0201","title":"Quantum modularity of partial theta series with periodic coefficients","year":2021,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Austrian Science Fund; Ireland Canada University Foundation; Technische Universität Darmstadt; McMaster University","keywords":"Series (stratigraphy); Torus; Modularity (biology); Mathematics; Root of unity; Modular form; Quantum; Pure mathematics; Polynomial; Combinatorics; Discrete mathematics; Physics; Quantum mechanics; Mathematical analysis; Geometry","authors":[{"name":"Ankush Goswami","is_ca":false},{"name":"Robert Osburn","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02973426567398224,"gpt":0.2928458200176965,"spread":0.2631115543437143,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008588012,0.0004652556,0.0004598969,0.001156918,0.00103341,0.001446428,0.000642842,0.0005321879,0.008018849],"category_scores_gemma":[0.002851725,0.0002806088,0.0005956196,0.0005736399,0.002888494,0.002632753,0.001606413,0.001053486,0.0007004217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001138535,"about_ca_system_score_gemma":0.0004787393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007861861,"about_ca_topic_score_gemma":0.0005575901,"domain_scores_codex":[0.9994574,0.000103179,0.00002024272,0.00008478547,0.0001971919,0.0001371258],"domain_scores_gemma":[0.9992669,0.0001814685,0.0001233263,0.0001147036,0.0001439735,0.0001695562],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002711958,0.00001202298,0.0002979016,0.00002063212,0.000005576048,0.000107375,0.0001136261,0.001139247,0.001490421,0.9936709,0.0006547566,0.002460504],"study_design_scores_gemma":[0.00002655169,0.00004468583,0.0006620868,0.00001753758,0.00001107018,0.0002721012,0.0001182648,0.01586883,0.001883407,0.9781251,0.002953458,0.00001693124],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8365808,0.0003003782,0.0719085,0.001271562,0.0002979386,0.00003790457,0.0001118395,0.0003199826,0.08917104],"genre_scores_gemma":[0.9918224,0.00009290237,0.002683704,0.00007062888,0.0001122971,0.00001400898,0.00002864195,0.00004482057,0.005130542],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008018849,"threshold_uncertainty_score":0.02682573,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4412375560","doi":"10.1515/forum-2024-0292","title":"Moments of primes in progressions to a large modulus","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Conjecture; Poisson distribution; Exponential function; Prime (order theory); Moduli; Combinatorics; Prime number; Gaussian; Arithmetic; Mathematical analysis; Statistics; Physics; Quantum mechanics","authors":[{"name":"Sun‐Kai Leung","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03158095966008313,"gpt":0.395074150042002,"spread":0.3634931903819189,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002956158,0.0004605422,0.0006322023,0.002505207,0.000701139,0.002059488,0.0009880009,0.0006005618,0.003967362],"category_scores_gemma":[0.02918018,0.0002868226,0.0005604812,0.001076234,0.002738203,0.002913936,0.001359281,0.001460873,0.0004385898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491786,"about_ca_system_score_gemma":0.0004420663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009796018,"about_ca_topic_score_gemma":0.0006929015,"domain_scores_codex":[0.9990971,0.0002163582,0.00003822724,0.0002204327,0.0002529949,0.0001748994],"domain_scores_gemma":[0.9898953,0.006027611,0.001430333,0.001163324,0.0006286661,0.0008548172],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001545068,0.0001589139,0.04341884,0.0002539517,0.0001001706,0.0008094657,0.000820129,0.2008817,0.01695238,0.7025363,0.006121608,0.02640135],"study_design_scores_gemma":[0.00006638024,0.0001749959,0.01586928,0.00007882487,0.00003485582,0.0005478483,0.0002110355,0.6265355,0.01128095,0.3431912,0.001903264,0.0001058189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.915994,0.0004054498,0.07521378,0.0007049026,0.00008696904,0.00002212449,0.0004322611,0.0006008853,0.006539674],"genre_scores_gemma":[0.9950283,0.00007034279,0.003966982,0.00002850325,0.0000561723,0.00001512593,0.0001686636,0.0000549008,0.0006108682],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003967362,"threshold_uncertainty_score":0.01563382,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4408920109","doi":"10.1515/forum-2024-0136","title":"Spherical Shalika models on PGU <sub>2,2</sub> and the theta correspondence for (PGSp <sub>4</sub> , PGU <sub>2,2</sub> )","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Physics; Combinatorics; Algebra over a field; Pure mathematics","authors":[{"name":"Antonio Cauchi","is_ca":false},{"name":"Armando Gutierrez Terradillos","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0223274697384916,"gpt":0.2815750912583919,"spread":0.2592476215199003,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006187582,0.0008748957,0.000805968,0.001497089,0.001944558,0.003027302,0.001104555,0.001294594,0.008529075],"category_scores_gemma":[0.001286326,0.0003896572,0.001012068,0.0007969429,0.00244912,0.003592295,0.002040523,0.001806145,0.001502805],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001843016,"about_ca_system_score_gemma":0.0008290412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002125396,"about_ca_topic_score_gemma":0.001665739,"domain_scores_codex":[0.9994932,0.0001151666,0.00001998334,0.00006449115,0.0001262136,0.0001808802],"domain_scores_gemma":[0.9994652,0.00009696093,0.0001037675,0.00007730503,0.00007112781,0.0001857133],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000394413,0.0000201645,0.0001754187,0.00001424288,0.00000522879,0.0001170581,0.0001916398,0.001333169,0.0008538875,0.9952825,0.0007365005,0.001230679],"study_design_scores_gemma":[0.00003758323,0.00004503781,0.0003801597,0.00002158326,0.000009828193,0.0001916272,0.0004417987,0.01710562,0.0008442501,0.9783201,0.002575365,0.00002703507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8517571,0.0006169401,0.03261248,0.001811157,0.0003071681,0.00004969718,0.0001974522,0.0006072319,0.1120408],"genre_scores_gemma":[0.9859865,0.00013606,0.002311107,0.0001447116,0.0001007285,0.00003360554,0.0001134299,0.00009561256,0.01107818],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008529075,"threshold_uncertainty_score":0.02853256,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4406293617","doi":"10.1515/forum-2023-0196","title":"Weil representations of twisted loop groups of type <i>A</i> <sup> <i>n</i> </sup> <sup>(2)</sup>","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Type (biology); Mathematics; Loop (graph theory); Combinatorics; Cover (algebra); Group (periodic table); Physics; Algebra over a field; Pure mathematics; Quantum mechanics","authors":[{"name":"Yanze Chen","is_ca":true},{"name":"Yongchang Zhu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02089064628984941,"gpt":0.3053187184236009,"spread":0.2844280721337515,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005442239,0.0009146839,0.000650761,0.001703696,0.001396118,0.002172138,0.0004982665,0.0008372053,0.009795201],"category_scores_gemma":[0.001135577,0.000260655,0.0007434074,0.0008026543,0.001667185,0.003029018,0.002410204,0.001402423,0.001104813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001125437,"about_ca_system_score_gemma":0.0003403085,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004976039,"about_ca_topic_score_gemma":0.0003261654,"domain_scores_codex":[0.9993881,0.00008312632,0.00002417398,0.00008006937,0.0001718271,0.0002527599],"domain_scores_gemma":[0.9994637,0.00008061178,0.0001309849,0.00006273737,0.00006094526,0.0002009914],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002512819,0.00008166422,0.001220078,0.00004021538,0.0000214258,0.0007271607,0.0009853339,0.00205971,0.009738725,0.9708362,0.001708917,0.0123293],"study_design_scores_gemma":[0.0001060038,0.0003419647,0.00224027,0.00004696154,0.0000430984,0.0006689228,0.0007367195,0.02078645,0.01354721,0.9527276,0.008688414,0.00006638567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9206768,0.000232753,0.03449575,0.0006169649,0.0002435829,0.00004378248,0.0001339656,0.0004555974,0.04310092],"genre_scores_gemma":[0.9870336,0.0001011887,0.002896336,0.00007232566,0.0001494251,0.00002534962,0.000109491,0.00006494283,0.009547284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009795201,"threshold_uncertainty_score":0.03276819,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2605789751","doi":"10.1515/forum-2017-0081","title":"The least unramified prime which does not split completely","year":2017,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Prime (order theory); Degree (music); Ideal (ethics); Extension (predicate logic); Finite field; Norm (philosophy); Combinatorics; Galois extension; Discrete mathematics; Galois group; Physics; Computer science","authors":[{"name":"Asif Zaman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05753009525906845,"gpt":0.3190606923307415,"spread":0.261530597071673,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002322676,0.0007466488,0.001002399,0.001444598,0.001657867,0.003121661,0.0009612985,0.0006403185,0.007226826],"category_scores_gemma":[0.007203684,0.0004560813,0.0007614412,0.0006255485,0.004308426,0.006430841,0.002984879,0.002761483,0.001754523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001243486,"about_ca_system_score_gemma":0.0008362979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005054395,"about_ca_topic_score_gemma":0.0005355061,"domain_scores_codex":[0.9979318,0.0004010647,0.00009799112,0.0005303023,0.0005337485,0.0005049992],"domain_scores_gemma":[0.9938107,0.002921618,0.0005729761,0.000805931,0.0007695492,0.00111923],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006414392,0.00009962636,0.002404212,0.0001732103,0.00003510467,0.0003351681,0.0006782712,0.002271992,0.007031015,0.9651259,0.002529044,0.01867496],"study_design_scores_gemma":[0.00006776043,0.0003517617,0.001753585,0.0001049123,0.00006231302,0.000850724,0.0003520773,0.01299453,0.01979003,0.9539974,0.009613123,0.00006176145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7898503,0.001465259,0.1043784,0.002483272,0.0002912616,0.00004029626,0.0004074242,0.0009711529,0.1001128],"genre_scores_gemma":[0.9868408,0.0002905502,0.005529069,0.0001844245,0.0002001695,0.00002333322,0.000208772,0.000080521,0.006642379],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007226826,"threshold_uncertainty_score":0.02417612,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4322492163","doi":"10.1515/forum-2022-0235","title":"A Shimura–Shintani correspondence for rigid analytic cocycles of higher weight","year":2023,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Meromorphic function; Holomorphic function; Multiplicative function; Combinatorics; Algebra over a field; Pure mathematics; Mathematical analysis","authors":[{"name":"Isabella Negrini","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05113820864131272,"gpt":0.3642100322446608,"spread":0.3130718236033481,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003955022,0.0005611479,0.0004378294,0.0017427,0.00105089,0.001430528,0.0005826845,0.0005792662,0.009041873],"category_scores_gemma":[0.0008773797,0.0002610071,0.0006140145,0.0007296003,0.001514347,0.001813709,0.001453496,0.00102678,0.001244248],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000813045,"about_ca_system_score_gemma":0.0002883988,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004817314,"about_ca_topic_score_gemma":0.0003373231,"domain_scores_codex":[0.9995279,0.00006456699,0.00002104379,0.0001072527,0.0001529991,0.0001261509],"domain_scores_gemma":[0.9996799,0.00005064652,0.00004821304,0.00005070645,0.00006123555,0.0001092398],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004238479,0.00003770493,0.0003491704,0.00003254065,0.000005124475,0.0002269288,0.0004695125,0.0006076971,0.004533915,0.9824151,0.0009279341,0.01035184],"study_design_scores_gemma":[0.00004569242,0.0001589394,0.002193022,0.00003792889,0.00002048895,0.0007667706,0.0006503772,0.02083349,0.006033051,0.9523529,0.01685182,0.00005555871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8146098,0.0002778455,0.1163621,0.0006256712,0.0003510489,0.00006278556,0.00009716592,0.0006065873,0.0670071],"genre_scores_gemma":[0.976226,0.0001297524,0.008948643,0.0001175468,0.0001339341,0.00003169556,0.0000603365,0.0001245402,0.01422758],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009041873,"threshold_uncertainty_score":0.03024811,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4414309407","doi":"10.1515/forum-2025-0044","title":"Central limit theorem for Hecke eigenvalues","year":2025,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Natural Sciences and Engineering Research Council of Canada","keywords":"Eigenvalues and eigenvectors; Algebraic number; Central limit theorem; Simple (philosophy); Limit (mathematics); Lie group; Spectrum (functional analysis); Representation theory","authors":[{"name":"Henry H. Kim","is_ca":false},{"name":"Satoshi Wakatsuki","is_ca":false},{"name":"Takuya Yamauchi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02812289176098088,"gpt":0.3319237766900626,"spread":0.3038008849290817,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002742877,0.0006545017,0.001348517,0.003019195,0.002303459,0.003120302,0.001599136,0.001072522,0.006887742],"category_scores_gemma":[0.005780551,0.0003711272,0.001027189,0.0009607071,0.006013281,0.004949862,0.003583298,0.002488832,0.000656661],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0012667,"about_ca_system_score_gemma":0.00076996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005454898,"about_ca_topic_score_gemma":0.0004376947,"domain_scores_codex":[0.9988682,0.0002922576,0.00004427752,0.000203484,0.0003891356,0.0002026083],"domain_scores_gemma":[0.997291,0.001081856,0.0002546324,0.0002720204,0.0005800004,0.0005203519],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001430685,0.00002507135,0.0002400915,0.00002682662,0.000008613428,0.0001524933,0.0001596759,0.0005380913,0.0009167163,0.9965246,0.0002936746,0.001099763],"study_design_scores_gemma":[0.00002177144,0.00002548805,0.0002962219,0.00001628355,0.000006200116,0.0002379214,0.0001006937,0.01317909,0.0009653327,0.9843382,0.0007960461,0.00001664391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6426771,0.001727099,0.2565205,0.002473613,0.0004894526,0.0000816827,0.0001319626,0.0005111042,0.09538754],"genre_scores_gemma":[0.9823024,0.0002454764,0.008810155,0.0001961112,0.000270806,0.00006007133,0.00003627219,0.00007062503,0.008008086],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006887742,"threshold_uncertainty_score":0.02304178,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2344416970","doi":"10.1515/forum-2016-0117","title":"On the complete integrability of the periodic quantum Toda lattice","year":2017,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Toda lattice; Dynkin diagram; Flag (linear algebra); Quantum cohomology; Quantum; Integrable system; Affine transformation; Mathematics; Lattice (music); Pure mathematics; Lie algebra; Cohomology; Mathematical physics; Physics; Algebra over a field; Quantum mechanics; Equivariant cohomology","authors":[{"name":"Augustin-Liviu Mare","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07928399793728817,"gpt":0.3312488856593033,"spread":0.2519648877220151,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006764657,0.0003053428,0.0007424534,0.0008299497,0.001880099,0.002342064,0.0007027632,0.0007414741,0.005239545],"category_scores_gemma":[0.001725556,0.0002777305,0.0006518579,0.000376189,0.003492653,0.002454996,0.001758925,0.001422268,0.000386402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009337194,"about_ca_system_score_gemma":0.0006230358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001482199,"about_ca_topic_score_gemma":0.0009659707,"domain_scores_codex":[0.9995859,0.00008073597,0.00001688252,0.00006852261,0.0001530238,0.00009484524],"domain_scores_gemma":[0.9993113,0.0001938037,0.00008440441,0.0001052648,0.0001088963,0.0001962089],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002367536,0.00002078758,0.0003248733,0.00001998386,0.000006147411,0.000161536,0.0001255583,0.001395495,0.0007359874,0.9959549,0.0003300013,0.0009010551],"study_design_scores_gemma":[0.0000234899,0.00002113028,0.0003877795,0.00001927148,0.000006272244,0.0001696468,0.0001173729,0.02224232,0.0005168848,0.9755647,0.0009182235,0.00001280268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8959371,0.0004436409,0.04388193,0.0009712878,0.0001671843,0.00002353342,0.0001199113,0.0001030739,0.05835238],"genre_scores_gemma":[0.9930235,0.0001273946,0.002803186,0.00008760392,0.00007351215,0.00001370332,0.00006258657,0.00002302106,0.003785509],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005239545,"threshold_uncertainty_score":0.01752806,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1587315189","doi":"10.1515/forum-2014-0195","title":"Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian","year":2015,"lang":"en","type":"preprint","venue":"Forum Mathematicum","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Lie algebra; Skew; Involution (esoterism); Universal enveloping algebra; Lie superalgebra; Algebra over a field; Field (mathematics); Lie conformal algebra; Affine Lie algebra; Physics; Current algebra; Psychology","authors":[{"name":"Salvatore Siciliano","is_ca":false},{"name":"Hamid Usefi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0781967965590205,"gpt":0.3395013919649343,"spread":0.2613045954059138,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009409102,0.000365598,0.0004475453,0.0008345167,0.001125015,0.001488723,0.0003613904,0.0004407109,0.006292611],"category_scores_gemma":[0.001995968,0.0003007132,0.0005535344,0.0004915616,0.001937494,0.003936419,0.001389927,0.0007946429,0.001560545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006596913,"about_ca_system_score_gemma":0.0005909252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00072691,"about_ca_topic_score_gemma":0.000461137,"domain_scores_codex":[0.9991848,0.0002104146,0.0000677608,0.0001460004,0.0002203358,0.0001706274],"domain_scores_gemma":[0.9989435,0.0001466394,0.0002305321,0.0001404542,0.0002877594,0.0002511784],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006972357,0.00002853498,0.0006746427,0.00003097844,0.00001136928,0.0003124752,0.0005213993,0.000552053,0.003540005,0.9871218,0.0008057362,0.006331495],"study_design_scores_gemma":[0.0000182326,0.00005749256,0.0009524001,0.00002175977,0.000009750269,0.0006181169,0.0004550177,0.004569045,0.003971935,0.9812486,0.008050243,0.00002741338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8204461,0.000569656,0.08464403,0.0008045168,0.000202622,0.00006945909,0.000217065,0.0004889941,0.09255752],"genre_scores_gemma":[0.9767494,0.0002166773,0.010201,0.000168398,0.0001521754,0.0000341083,0.0001580891,0.00005260812,0.01226755],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006292611,"threshold_uncertainty_score":0.02105087,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}