{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":7,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":7,"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"},"query_hash":"b54ed948403a","filters":{"venue":"Annals of Functional Analysis"}},"results":[{"id":"W2963528212","doi":"10.15352/afa/1399900590","title":"Infinite-dimensional bicomplex Hilbert spaces","year":2010,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Trois-Rivières","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Hilbert space; Mathematics; Pure mathematics; Rigged Hilbert space; Linear operators; Algebra over a field; Mathematical analysis; Reproducing kernel Hilbert space","retraction":null,"screen_n_in":null,"score":{"opus":0.03978227821070528,"gpt":0.2904211488217333,"spread":0.250638870611028,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001631692,0.0001149258,0.0002255815,0.0002372832,0.0001329218,0.00002510488,0.0001177972,0.00003386224,0.00793518],"category_scores_gemma":[0.000008426783,0.0001005215,0.0003909971,0.0008216036,0.00005031376,0.00007718612,0.00004178278,0.0001459595,0.00008527087],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001276939,"about_ca_system_score_gemma":0.00004094317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003477885,"about_ca_topic_score_gemma":0.00004527758,"domain_scores_codex":[0.9991056,0.00001408214,0.0002546033,0.0002173856,0.0002528766,0.0001554953],"domain_scores_gemma":[0.9990827,0.0001077068,0.0001561467,0.0002629498,0.0002988555,0.00009167031],"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":[0.00001781698,0.0003270548,0.02533423,0.000002681623,0.001726449,1.670339e-7,0.00001690079,0.00111325,0.02299958,0.9372245,0.009777713,0.001459662],"study_design_scores_gemma":[0.0005088154,0.00009231849,0.1782509,0.000008951815,0.001357348,0.000001364281,0.0001387502,0.05701188,0.0154126,0.5945923,0.1519455,0.0006792537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9826812,0.00001558969,0.009046728,0.003328663,0.0001250008,0.00005952169,0.0001563948,0.00001859132,0.004568333],"genre_scores_gemma":[0.998355,0.000001291041,0.0003242109,0.0002085794,0.0002458529,0.00001887527,0.0003164149,0.000007326102,0.0005224288],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3426322,"threshold_uncertainty_score":0.9929717,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1988491659","doi":"10.15352/afa/1391614566","title":"Zero-dilation Indices of KMS Matrices","year":2014,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":5,"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":"Ministry of Education, India; National Science Council","keywords":"Mathematics; Zero (linguistics); Dilation (metric space); Matrix (chemical analysis); Rank (graph theory); Mathematical analysis; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.03002721613348382,"gpt":0.2686319339210337,"spread":0.2386047177875499,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007266639,0.00007844612,0.0002393549,0.0004809072,0.00005929813,0.00002293622,0.0003164986,0.000039001,0.000171328],"category_scores_gemma":[0.00005696771,0.00006579606,0.0002652092,0.001613254,0.00004348339,0.0003455702,0.00006306609,0.00004323243,0.00001833572],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002293878,"about_ca_system_score_gemma":0.00001665835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004390244,"about_ca_topic_score_gemma":0.000003800147,"domain_scores_codex":[0.9989268,0.00008871507,0.0003107579,0.0001951881,0.0003720976,0.0001064679],"domain_scores_gemma":[0.9988726,0.0002188167,0.0003334739,0.0002731966,0.0002574046,0.00004444413],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008481021,0.0004038681,0.03414012,0.0001201582,0.002984748,0.000001363669,0.0004206451,0.08064711,0.002333083,0.7762065,0.002951765,0.09970582],"study_design_scores_gemma":[0.000405731,0.0004044539,0.2338173,0.00003478053,0.0007593944,0.00000364426,0.0000500844,0.4914114,0.03071187,0.2344761,0.007475049,0.0004501471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1083657,0.0002003445,0.8880102,0.0006457522,0.00009775132,0.0000286671,0.000007049603,0.00002961522,0.002614864],"genre_scores_gemma":[0.9958944,0.00003066813,0.003538451,0.0001451663,0.0000628059,0.000002036589,0.00001402074,0.000002113963,0.0003102989],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8875287,"threshold_uncertainty_score":0.2683086,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4415749709","doi":"10.1007/s43034-025-00451-3","title":"Mean value characterizations of harmonic, subharmonic and metaharmonic functions associated with the Dunkl Laplacian","year":2025,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Sherbrooke","funders":"Université de Sherbrooke","keywords":"Mean value; Laplace operator; Multiplicity (mathematics); Parameterized complexity; Operator (biology); Laplace transform; Subharmonic; Order (exchange)","retraction":null,"screen_n_in":null,"score":{"opus":0.09181627945290874,"gpt":0.3411770743067387,"spread":0.2493607948538299,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001502512,0.0002200286,0.000830758,0.0005510952,0.0002631782,0.00003334582,0.0001828271,0.0000899162,0.0004997219],"category_scores_gemma":[0.0004308583,0.0001346293,0.0006375842,0.003224103,0.0002475853,0.0001299682,0.00004618262,0.00018465,0.00000229234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001404383,"about_ca_system_score_gemma":0.00009275789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005383796,"about_ca_topic_score_gemma":0.0002791882,"domain_scores_codex":[0.9979832,0.0002928377,0.0007102285,0.0003004061,0.0004855584,0.0002278368],"domain_scores_gemma":[0.9966985,0.001687724,0.0004459199,0.0004091621,0.0006852401,0.00007347219],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.0003277243,0.001773243,0.01232337,0.0004170461,0.06915446,0.000002549518,0.000744343,0.001285388,0.003991272,0.9038985,0.002916086,0.003165983],"study_design_scores_gemma":[0.002678186,0.0005441137,0.4744147,0.0004581586,0.08686674,0.000007337543,0.001934782,0.04836847,0.02052143,0.3595284,0.003509359,0.001168275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.690142,0.0006489881,0.2936743,0.01069235,0.00004984041,0.0003399058,0.0001932614,0.00005584522,0.00420359],"genre_scores_gemma":[0.9952225,0.0001486267,0.0008983787,0.0002667737,0.00001583634,0.00003941157,0.00008806552,0.00001292679,0.003307495],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5443701,"threshold_uncertainty_score":0.5490025,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2200365580","doi":"10.1215/20088752-3320401","title":"A group structure on $\\mathbb{D}$ and its application for composition operators","year":2016,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"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","keywords":"Mathematics; Unimodular matrix; Automorphism; Group (periodic table); Equivalence (formal languages); Pure mathematics; Automorphism group; Sequence (biology); Composition (language); Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.06369002323182552,"gpt":0.3209061536753389,"spread":0.2572161304435134,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002620834,0.0001108493,0.0002517715,0.0001753774,0.00009939571,0.000008434812,0.00006072726,0.00007385924,0.0001542934],"category_scores_gemma":[0.00007739568,0.00007088621,0.0001558348,0.0002673409,0.00003809196,0.00009043885,0.00001416056,0.00003554549,0.00000718211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009984506,"about_ca_system_score_gemma":0.00001123827,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002696096,"about_ca_topic_score_gemma":0.000008579374,"domain_scores_codex":[0.9992056,0.00004587413,0.0002354551,0.0002210512,0.0001818893,0.0001100758],"domain_scores_gemma":[0.9990728,0.0003421574,0.0001197331,0.0001526014,0.000259298,0.00005340691],"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":[0.0003958871,0.000175986,0.0009011313,0.00006001225,0.001350327,4.183124e-7,0.00007595867,0.00009725863,0.1588428,0.8323867,0.001431797,0.004281702],"study_design_scores_gemma":[0.0028378,0.001020805,0.02017874,0.0001536103,0.00297563,0.00001068482,0.0002055582,0.006731335,0.2889864,0.6725277,0.003468336,0.0009033666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9533062,0.0000683831,0.04477076,0.001232688,0.00002849401,0.0002087014,0.0002784612,0.00002312703,0.00008320907],"genre_scores_gemma":[0.9988703,0.00002658729,0.0003831505,0.0003670901,0.00008469039,0.00004088025,0.00006659211,0.00001031968,0.0001504312],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.159859,"threshold_uncertainty_score":0.2890656,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1849098380","doi":"10.15352/afa/06-4-30","title":"Wiener's theorem on hypergroups","year":2015,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Abelian group; Square-integrable function; Pure mathematics; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.3083569140984548,"gpt":0.3980312543471163,"spread":0.0896743402486615,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007501206,0.0001604002,0.0004671173,0.0002727329,0.00005085264,0.00001195577,0.0001515295,0.00006063429,0.000440331],"category_scores_gemma":[0.001952118,0.0001199514,0.000389407,0.0009283004,0.0001405506,0.0001304063,0.00004854353,0.00009424177,0.00009506022],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001613428,"about_ca_system_score_gemma":0.00002733566,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003717225,"about_ca_topic_score_gemma":0.000004026798,"domain_scores_codex":[0.9984827,0.00007876591,0.0003864389,0.0002284552,0.0006261094,0.0001975465],"domain_scores_gemma":[0.9978201,0.0009266039,0.0002001427,0.0004214349,0.000482643,0.0001490339],"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":[0.0001421369,0.000255588,0.0001798038,0.00001560422,0.0009648944,0.000002128291,0.0001053485,0.002983968,0.00007232323,0.989832,0.004884635,0.0005616067],"study_design_scores_gemma":[0.0001615692,0.0001227206,0.0002548658,0.00001483962,0.0004092499,0.000001762625,0.000228657,0.0007364469,0.002503174,0.9943763,0.001057504,0.0001329165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4643589,0.0002938762,0.3803586,0.004214143,0.0003294014,0.0002740058,0.00007783187,0.0002903523,0.1498028],"genre_scores_gemma":[0.9897149,0.00001028558,0.007096072,0.0004372619,0.0001313239,0.00001461659,0.00001692949,0.00001875038,0.002559847],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.525356,"threshold_uncertainty_score":0.4891477,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2257067652","doi":"10.1215/20088752-3462222","title":"The mathematical work of Anthony To-Ming Lau","year":2016,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Work (physics); Mathematical economics; Calculus (dental); Medicine; Physics; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.1686872484317986,"gpt":0.4115710999740483,"spread":0.2428838515422497,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00101686,0.0001137884,0.0003772177,0.000242534,0.0001213347,0.00001322193,0.0002542092,0.00004652691,0.0008920387],"category_scores_gemma":[0.002443288,0.00005760114,0.0003604091,0.00152996,0.0001638437,0.00009088843,0.0001091272,0.00007068709,0.00007648916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001537523,"about_ca_system_score_gemma":0.00004064672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003624919,"about_ca_topic_score_gemma":0.00001509145,"domain_scores_codex":[0.998197,0.00009317305,0.0005114516,0.0001995986,0.0007345968,0.0002642456],"domain_scores_gemma":[0.99567,0.002933478,0.0001616731,0.0004791172,0.0006474543,0.0001082887],"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":[0.001178224,0.0009526914,0.02540672,0.000198833,0.01035498,0.000009568965,0.0006024473,0.001210298,0.02463805,0.8396146,0.03858164,0.05725194],"study_design_scores_gemma":[0.0005849422,0.0003104588,0.02814774,0.0003091095,0.001018578,0.000004096801,0.0005287927,0.0005469956,0.07017566,0.8923531,0.00553463,0.0004858804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6853397,0.0002243733,0.3003863,0.0115592,0.00006636225,0.0002433846,0.00004210805,0.00003795797,0.002100679],"genre_scores_gemma":[0.9903892,0.00005009971,0.005607109,0.00008617142,0.00007091225,0.00002441579,0.000001686427,0.00001579611,0.003754571],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3050496,"threshold_uncertainty_score":0.9767199,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4414188378","doi":"10.1007/s43034-025-00433-5","title":"Countability conditions in locally solid convergence spaces","year":2025,"lang":"en","type":"article","venue":"Annals of Functional Analysis","topic":"Advanced Banach Space 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 Alberta","funders":"Division of Mathematical Sciences; Universiteit Leiden; University of Pretoria","keywords":"Convergence (economics); Countable set; Modes of convergence (annotated index); Compact convergence; Pointwise convergence; Unconditional convergence; Weak convergence; Locally convex topological vector space","retraction":null,"screen_n_in":null,"score":{"opus":0.06060408577995095,"gpt":0.3889353568270156,"spread":0.3283312710470647,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006686482,0.0001333682,0.0004547375,0.0005611426,0.00006967822,0.000009451732,0.00014284,0.00006767093,0.001372406],"category_scores_gemma":[0.0007106148,0.0001279029,0.0002926926,0.001970107,0.0002219029,0.0001594715,0.00004923253,0.0001248825,0.00001771452],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000446764,"about_ca_system_score_gemma":0.0001095526,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001214895,"about_ca_topic_score_gemma":0.001165844,"domain_scores_codex":[0.998679,0.0001023767,0.000462271,0.0002696032,0.0002898395,0.0001968579],"domain_scores_gemma":[0.9980896,0.0008600879,0.0001826828,0.0003601992,0.000462302,0.00004509327],"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":[0.0003221349,0.0009711063,0.1487145,0.0002142096,0.003619913,0.000006343081,0.0002107847,0.04557391,0.002044813,0.7854998,0.01255874,0.0002637394],"study_design_scores_gemma":[0.000281491,0.00003595723,0.1056372,0.00005091472,0.0006248733,5.466028e-7,0.0006391925,0.004946784,0.003828228,0.8832207,0.0005535645,0.0001805992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8430572,0.0002477822,0.1469296,0.003658439,0.0001364518,0.0001906213,0.0001133953,0.00006055512,0.005605992],"genre_scores_gemma":[0.9969925,0.00005266001,0.0006651692,0.0003996278,0.00001737938,0.00002483589,0.00003515355,0.000005488494,0.001807217],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1539353,"threshold_uncertainty_score":0.9995404,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}