{"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":"a5e1be22c861","filters":{"venue":"Banach Journal of Mathematical Analysis"}},"results":[{"id":"W2054637176","doi":"10.15352/bjma/1313363008","title":"Cosine functions revisited","year":2011,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Trigonometric functions; Modified discrete cosine transform; Unitary state; Pure mathematics; Group (periodic table); Character (mathematics); Discrete cosine transform; Representation (politics); Algebra over a field; Discrete mathematics; Mathematical analysis; Fourier transform; Fourier analysis; Computer science; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1026669227295843,"gpt":0.3532648633983492,"spread":0.2505979406687649,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001482679,0.000193834,0.0008963573,0.0007619873,0.0001081649,0.00003749579,0.0004431403,0.00008768457,0.007643949],"category_scores_gemma":[0.002237325,0.0001347112,0.0007185559,0.001996259,0.0001163417,0.0002651013,0.00007995106,0.0004056997,0.0001654649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008212213,"about_ca_system_score_gemma":0.00005685832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002204519,"about_ca_topic_score_gemma":0.000004618907,"domain_scores_codex":[0.9973637,0.0001882088,0.001131905,0.0001795549,0.0008148468,0.0003217373],"domain_scores_gemma":[0.9973196,0.0006196803,0.0004832904,0.0004999131,0.0007704917,0.000306983],"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":[0.0005848596,0.005905966,0.008789958,0.0008964927,0.02331212,0.000866921,0.003705949,0.0001059234,0.002125497,0.9255088,0.0215704,0.006627141],"study_design_scores_gemma":[0.001186036,0.0005272113,0.001812822,0.0002666627,0.009193098,0.0003720733,0.001185756,0.003982154,0.002138477,0.9780632,0.0007542627,0.0005182032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1358902,0.0003136903,0.8487949,0.0003202719,0.00003844657,0.0002022502,0.00001285634,0.00005262172,0.01437481],"genre_scores_gemma":[0.8221676,0.00003185572,0.175899,0.00005405522,0.0001195663,0.000006647733,0.000002741534,0.00003732365,0.001681168],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6862774,"threshold_uncertainty_score":0.9932632,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2787536425","doi":"10.1215/17358787-2019-0009","title":"On uniform connectivity of algebraic matrix sets","year":2019,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; University of Toronto","keywords":"Combinatorics; Mathematics; Matrix (chemical analysis); Algebraic number; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02083011116424012,"gpt":0.3119375040844142,"spread":0.2911073929201741,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001781004,0.0002250359,0.001502404,0.001268186,0.00003876647,0.00001779895,0.0004281211,0.0001531655,0.00489136],"category_scores_gemma":[0.002260961,0.000154905,0.000970853,0.001869868,0.0001025158,0.0001180035,0.00006939467,0.0003456133,0.0001549727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006434423,"about_ca_system_score_gemma":0.00006735795,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005940172,"about_ca_topic_score_gemma":0.000004260723,"domain_scores_codex":[0.9973016,0.0001701725,0.001242276,0.0001937158,0.0007875395,0.0003046442],"domain_scores_gemma":[0.9944679,0.003398655,0.001156273,0.0004851235,0.0003170745,0.0001749918],"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":[0.0001204721,0.00127114,0.004307536,0.0004206265,0.004251385,0.00004044976,0.0003545177,0.0003181713,0.0001999065,0.9866073,0.001061565,0.001046914],"study_design_scores_gemma":[0.000954915,0.0006132034,0.002334266,0.00009942952,0.002719627,0.0001060943,0.0004326424,0.002669019,0.000780438,0.9890258,0.00005072985,0.000213811],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9601418,0.0000812656,0.03471229,0.0004227075,0.00007290442,0.0001330383,0.000008893552,0.00001443219,0.004412654],"genre_scores_gemma":[0.9884782,0.00001126544,0.01061028,0.00004517197,0.00003280807,0.000001254558,0.000001397281,0.00001838642,0.0008012526],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02833637,"threshold_uncertainty_score":0.9960183,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402547537","doi":"10.1007/s43037-024-00379-1","title":"2-Rotund norms for unconditional and symmetric sequence spaces","year":2024,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Advanced Banach Space Theory","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; University of South Carolina; Simons Foundation","keywords":"Mathematics; Banach space; Pure mathematics; Norm (philosophy); Sequence (biology); Basis (linear algebra); Reflexivity; Reflexive space; Interpolation space; Functional analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.05048963221720364,"gpt":0.3587137361910127,"spread":0.3082241039738091,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001815244,0.0002438795,0.0008552288,0.001194869,0.0001002727,0.0001647403,0.0002653597,0.00009839749,0.0004890331],"category_scores_gemma":[0.002087217,0.0001672298,0.0006333821,0.001611682,0.0001850728,0.0004207303,0.00005581415,0.0002839423,0.00001919999],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001201986,"about_ca_system_score_gemma":0.00009193452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001309383,"about_ca_topic_score_gemma":0.000006550747,"domain_scores_codex":[0.9979063,0.00007704406,0.00083746,0.0002557582,0.000619933,0.0003035082],"domain_scores_gemma":[0.9952292,0.00363941,0.0003743473,0.0002432074,0.0002913607,0.0002224398],"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":[0.00003935078,0.0001479544,0.00007148222,0.0008332561,0.003091245,0.00008386422,0.0003475958,0.0001297542,0.0003014176,0.9915798,0.001498938,0.001875321],"study_design_scores_gemma":[0.0002879929,0.0001451121,0.00005406563,0.0001916689,0.004292871,0.0002664209,0.0004483679,0.0162103,0.000274325,0.9767075,0.0009134053,0.0002079858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1260226,0.001638169,0.8685308,0.002018678,0.0001046421,0.0002940781,0.0001092058,0.00007043136,0.001211389],"genre_scores_gemma":[0.7940686,0.000072865,0.2038721,0.00006035228,0.0002460416,0.00002086467,0.00001271172,0.00004740472,0.001598999],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.668046,"threshold_uncertainty_score":0.6819432,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403868260","doi":"10.1007/s43037-024-00391-5","title":"Correction to: On the numerical ranges of matrices in max algebra","year":2024,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebra over a field; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.0131188702318207,"gpt":0.260536656472704,"spread":0.2474177862408833,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009351585,0.00009230862,0.0003440629,0.0006656213,0.00002896476,0.0001081388,0.0004807439,0.00002563945,0.00009512027],"category_scores_gemma":[0.0002890672,0.00005151722,0.000313591,0.002549419,0.00002136872,0.0001646355,0.00006296152,0.0001878559,0.00004209943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004492881,"about_ca_system_score_gemma":0.00004485855,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001812977,"about_ca_topic_score_gemma":0.00000586272,"domain_scores_codex":[0.9986259,0.0001220859,0.0005480512,0.0001380026,0.0004391622,0.000126799],"domain_scores_gemma":[0.9982543,0.001279104,0.0001531378,0.0001701113,0.00006965082,0.00007370954],"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":[0.0001417676,0.001218001,0.0009145821,0.0002796536,0.002868785,0.0002870417,0.007101263,0.04170532,0.001343772,0.5370167,0.02196754,0.3851556],"study_design_scores_gemma":[0.0001320416,0.000265524,0.004369811,0.0003333713,0.000371643,0.00006136259,0.000132986,0.9216534,0.001619818,0.07058702,0.0003371539,0.0001358363],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1497065,0.0002870572,0.8422585,0.006744032,0.0003054344,0.00006199651,7.494719e-7,0.00001769141,0.0006180817],"genre_scores_gemma":[0.9942671,0.00001557763,0.005424785,0.0001178158,0.0000672914,0.000002142376,1.849536e-7,0.000003746133,0.0001013336],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8799481,"threshold_uncertainty_score":0.2100811,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4404097419","doi":"10.1007/s43037-024-00394-2","title":"Correction to: On the numerical ranges of matrices in max algebra","year":2024,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Algebra over a field; Matrix algebra; Pure mathematics; Eigenvalues and eigenvectors; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.0131188702318207,"gpt":0.260536656472704,"spread":0.2474177862408833,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009351585,0.00009230862,0.0003440629,0.0006656213,0.00002896476,0.0001081388,0.0004807439,0.00002563945,0.00009512027],"category_scores_gemma":[0.0002890672,0.00005151722,0.000313591,0.002549419,0.00002136872,0.0001646355,0.00006296152,0.0001878559,0.00004209943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004492881,"about_ca_system_score_gemma":0.00004485855,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001812977,"about_ca_topic_score_gemma":0.00000586272,"domain_scores_codex":[0.9986259,0.0001220859,0.0005480512,0.0001380026,0.0004391622,0.000126799],"domain_scores_gemma":[0.9982543,0.001279104,0.0001531378,0.0001701113,0.00006965082,0.00007370954],"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":[0.0001417676,0.001218001,0.0009145821,0.0002796536,0.002868785,0.0002870417,0.007101263,0.04170532,0.001343772,0.5370167,0.02196754,0.3851556],"study_design_scores_gemma":[0.0001320416,0.000265524,0.004369811,0.0003333713,0.000371643,0.00006136259,0.000132986,0.9216534,0.001619818,0.07058702,0.0003371539,0.0001358363],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1497065,0.0002870572,0.8422585,0.006744032,0.0003054344,0.00006199651,7.494719e-7,0.00001769141,0.0006180817],"genre_scores_gemma":[0.9942671,0.00001557763,0.005424785,0.0001178158,0.0000672914,0.000002142376,1.849536e-7,0.000003746133,0.0001013336],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8799481,"threshold_uncertainty_score":0.2100811,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4416219267","doi":"10.1007/s43037-025-00475-w","title":"Convolution operators between Orlicz–Lorentz spaces","year":2025,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Advanced Harmonic Analysis 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":"Brock University","funders":"","keywords":"Convolution (computer science); Class (philosophy); Operator theory; Operator (biology); Function (biology); Functional analysis; Function space","retraction":null,"screen_n_in":null,"score":{"opus":0.05460663025099841,"gpt":0.3986697296861645,"spread":0.3440630994351661,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002407599,0.000279193,0.001573212,0.00163852,0.0001772382,0.0001222547,0.0007242801,0.0001525659,0.001143065],"category_scores_gemma":[0.002886288,0.0002012693,0.00114692,0.003494436,0.0002098897,0.0002821017,0.0001642778,0.0005662586,0.00005548296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002616927,"about_ca_system_score_gemma":0.0001864235,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006626872,"about_ca_topic_score_gemma":0.00001294761,"domain_scores_codex":[0.9961607,0.000342145,0.001620793,0.0002836011,0.001142559,0.0004501913],"domain_scores_gemma":[0.9959467,0.001756249,0.0006901801,0.0005469478,0.0007928104,0.0002670886],"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":[0.0001953749,0.001800428,0.06137395,0.00101309,0.0531459,0.0001663403,0.001201183,0.001530232,0.001064547,0.8510389,0.01468694,0.01278307],"study_design_scores_gemma":[0.001445549,0.0001585348,0.003271994,0.0003432384,0.0217021,0.0000174479,0.001856357,0.01515905,0.002497846,0.9508821,0.002162018,0.0005038089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.192773,0.0005237355,0.8016537,0.001635928,0.0000359865,0.0001562268,0.000008746671,0.00003282082,0.003179823],"genre_scores_gemma":[0.9601138,0.00007256588,0.03740697,0.00004582153,0.0001194247,0.000006890184,0.000005241458,0.00002128485,0.002207981],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7673408,"threshold_uncertainty_score":0.99977,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4411873658","doi":"10.1007/s43037-025-00435-4","title":"Publisher Correction Note to: Correction to: On the numerical ranges of matrices in max algebra","year":2025,"lang":"en","type":"article","venue":"Banach Journal of Mathematical Analysis","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Algebra over a field; Mathematics; Matrix algebra; Pure mathematics; Physics; Eigenvalues and eigenvectors; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.01033412830710944,"gpt":0.273582992201392,"spread":0.2632488638942826,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00104484,0.0001337753,0.000521755,0.001033793,0.00006410308,0.0001145493,0.0007428305,0.00005124946,0.00008195922],"category_scores_gemma":[0.00139925,0.00007993499,0.0003085786,0.004897391,0.00002613471,0.0002929231,0.0001119249,0.0002797061,0.00002249795],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009800131,"about_ca_system_score_gemma":0.00004919415,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002342196,"about_ca_topic_score_gemma":0.00002665006,"domain_scores_codex":[0.998232,0.0001812485,0.0006896469,0.0002067119,0.0004946216,0.0001957552],"domain_scores_gemma":[0.9978691,0.00117372,0.0002967041,0.0003368594,0.0002199202,0.0001037272],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0006522657,0.003166207,0.009804075,0.0001830224,0.002494949,0.0001129042,0.005026454,0.1637415,0.001104153,0.301136,0.1414412,0.3711373],"study_design_scores_gemma":[0.00126412,0.001581709,0.05930789,0.001082968,0.001728152,0.0001091824,0.001535416,0.5640624,0.004590581,0.3605159,0.003411855,0.0008098635],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02717784,0.00006051682,0.9622452,0.007129798,0.000920338,0.000119114,2.514031e-7,0.00001532743,0.002331587],"genre_scores_gemma":[0.9801618,0.00001306106,0.01822277,0.0007666114,0.00004011179,0.000008015159,2.613838e-7,0.000004698576,0.0007826798],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.952984,"threshold_uncertainty_score":0.3259655,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}