{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":11,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":11,"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":"c6fcd1a01674","filters":{"venue":"Banach Center Publications"}},"results":[{"id":"W2325964884","doi":"10.4064/bc89-0-14","title":"Jucys-Murphy elements and the unitary Weingarten function","year":2010,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":31,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Unitary state; Connection (principal bundle); Function (biology); Pure mathematics; Mathematics; Group (periodic table); Algebra over a field; Physics; Geometry; Quantum mechanics","authors":[{"name":"Jonathan Novak","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007117282343164081,"gpt":0.2159249374556779,"spread":0.2088076551125138,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004780751,0.000310533,0.0003415193,0.0008480994,0.0009848413,0.001067349,0.0006025701,0.0004797998,0.00397297],"category_scores_gemma":[0.001529187,0.0001252324,0.0003214393,0.0005021653,0.001761809,0.002576605,0.001340926,0.001095655,0.0006932268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004681645,"about_ca_system_score_gemma":0.0004213142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003567153,"about_ca_topic_score_gemma":0.0004228393,"domain_scores_codex":[0.9997174,0.00005593137,0.00001387215,0.00003789154,0.00009438072,0.00008049042],"domain_scores_gemma":[0.9996634,0.00008865009,0.00004493523,0.00006486589,0.00006807806,0.00007012679],"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":[0.000006933683,0.000004910724,0.00007668724,0.000006323603,9.290428e-7,0.00002797714,0.00007747231,0.0004175475,0.0006282014,0.9946553,0.0001729747,0.003924893],"study_design_scores_gemma":[0.000003429789,0.00001907956,0.0001117308,0.0000072106,0.000002031966,0.00008613928,0.00007872642,0.004360213,0.00176692,0.9895549,0.004002054,0.000007591278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4441136,0.001031022,0.3816089,0.001545359,0.0004762764,0.00006214254,0.0000871704,0.0004780064,0.1705976],"genre_scores_gemma":[0.948033,0.0003622993,0.03154915,0.0002499633,0.0002217614,0.00005247041,0.00003928836,0.00008676339,0.01940531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00397297,"threshold_uncertainty_score":0.01329094,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964127171","doi":"10.4064/bc113-0-14","title":"The Gelfand–Naimark–Segal construction for unitary representations of $\\mathbb Z_2^n$-graded Lie supergroups","year":2017,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":7,"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":"Unitary state; Mathematics; Class (philosophy); Pure mathematics; Algebra over a field; Combinatorics; Computer science; Artificial intelligence","authors":[{"name":"Mohammad Mohammadi","is_ca":false},{"name":"Hadi Salmasian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05455257092901018,"gpt":0.3585317084691014,"spread":0.3039791375400912,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004843629,0.0004762382,0.0003444374,0.001308779,0.001405504,0.001170255,0.0006416925,0.0006793753,0.004412331],"category_scores_gemma":[0.0007752288,0.0001935484,0.0005459678,0.0005036921,0.00218927,0.001964138,0.001529027,0.0008409107,0.0004961173],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000657895,"about_ca_system_score_gemma":0.0005139972,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007243341,"about_ca_topic_score_gemma":0.0008214865,"domain_scores_codex":[0.99976,0.00004970052,0.000009353381,0.00003359011,0.00008232619,0.00006509532],"domain_scores_gemma":[0.9997279,0.00004730872,0.00005414111,0.00003509588,0.00004379098,0.00009188298],"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":[0.000006940356,0.000005398051,0.0000564251,0.0000098352,0.000001461423,0.00005803662,0.0001371656,0.0002499231,0.001340746,0.9961301,0.0002244777,0.001779449],"study_design_scores_gemma":[0.00001000465,0.00002191878,0.0002370644,0.00001198113,0.000003742409,0.0001713607,0.0001448166,0.004400196,0.001383072,0.9898985,0.00370282,0.00001440892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6447366,0.0005417914,0.2114055,0.001492043,0.0004548038,0.00009685991,0.0001319768,0.0002633049,0.1408771],"genre_scores_gemma":[0.9674581,0.0002714478,0.01708028,0.0002310681,0.000175967,0.00006407973,0.00006617831,0.00004909201,0.0146038],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004412331,"threshold_uncertainty_score":0.01476067,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2322941797","doi":"10.4064/bc84-0-12","title":"Topological bar-codes of fractals: a new characterization of symmetric binary fractal trees","year":2009,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada; St. Francis Xavier University","keywords":"Fractal; Fractal dimension; Topology (electrical circuits); Binary number; Binary tree; Mathematics; Fractal dimension on networks; Characterization (materials science); Bar (unit); Fractal landscape; Fractal analysis; Computer science; Dimension (graph theory); Discrete mathematics; Algorithm; Combinatorics; Mathematical analysis; Physics; Arithmetic","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.02241848451477553,"gpt":0.2632273910680202,"spread":0.2408089065532447,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005297339,0.0003586224,0.0005104766,0.002726266,0.0007301682,0.002158072,0.0005328186,0.0007208954,0.001919804],"category_scores_gemma":[0.003641228,0.0002591387,0.0003928682,0.00157517,0.002535369,0.002577565,0.001432604,0.00124297,0.0004463413],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004708089,"about_ca_system_score_gemma":0.000394636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003870189,"about_ca_topic_score_gemma":0.0002662798,"domain_scores_codex":[0.9993387,0.0001109556,0.00004904178,0.0001226746,0.0002850257,0.00009344424],"domain_scores_gemma":[0.996635,0.001294287,0.0006904268,0.0003890318,0.000636426,0.0003547909],"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":[0.00003904676,0.00002170537,0.00158867,0.00007276878,0.000008620726,0.0001347096,0.0004622691,0.004195177,0.005906617,0.9687551,0.001072901,0.01774247],"study_design_scores_gemma":[0.00001921244,0.00008888081,0.002135942,0.0000605053,0.0000173484,0.0008487463,0.0002668048,0.07770492,0.003338607,0.9005297,0.01493006,0.00005926195],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4902268,0.002284683,0.4766719,0.0009804973,0.0003529956,0.00009319509,0.0006204763,0.0003545693,0.02841504],"genre_scores_gemma":[0.9377472,0.0007090901,0.05539228,0.0001957262,0.0004880095,0.00006932962,0.0004302324,0.00009076759,0.004877483],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002726266,"threshold_uncertainty_score":0.0064224,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2790347529","doi":"10.4064/bc113-0-10","title":"$\\mathbb CP^{N}$ sigma models via the $\\mathbf{SU}(2)$ coherent states approach","year":2017,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Quantum Chromodynamics and Particle Interactions","field":"Physics and Astronomy","cited_by":4,"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 Trois-Rivières; Université du Québec à Montréal","funders":"","keywords":"Sigma; Coherent states; Unification; Physics; Mathematics; Mathematical physics; Set (abstract data type); Combinatorics; Pure mathematics; Quantum mechanics; Computer science; Quantum","authors":[{"name":"A. M. Grundland","is_ca":true},{"name":"Aleksander Strasburger","is_ca":false},{"name":"Diana Dziewa-Dawidczyk","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03119880989703954,"gpt":0.2831162019953658,"spread":0.2519173920983263,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007939182,0.000633301,0.0008536202,0.001342949,0.001300952,0.002085216,0.001043147,0.001538778,0.002885622],"category_scores_gemma":[0.0009424238,0.0003289689,0.001046961,0.000657169,0.002503048,0.00303815,0.001912189,0.001697285,0.0004307092],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009193079,"about_ca_system_score_gemma":0.001093836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001592632,"about_ca_topic_score_gemma":0.001484276,"domain_scores_codex":[0.9995079,0.0001172214,0.00002796032,0.00007111084,0.0001860708,0.00008965324],"domain_scores_gemma":[0.9995777,0.00007820271,0.00007541487,0.00009410817,0.00007629337,0.00009829915],"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":[0.00001216017,0.00001525376,0.00008622933,0.000009311737,0.000004052752,0.0000409121,0.00003873089,0.001167836,0.0007508107,0.9964562,0.0001463703,0.001272219],"study_design_scores_gemma":[0.00002344118,0.00003293311,0.0002404873,0.00001791128,0.000007681199,0.00009702925,0.00006732573,0.03285916,0.0007571455,0.9645826,0.001295654,0.0000187501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6067078,0.001502237,0.2502976,0.001919462,0.0005562978,0.0001096439,0.000257427,0.00028007,0.1383695],"genre_scores_gemma":[0.9603063,0.0004080143,0.02742816,0.0003829995,0.0002917875,0.00009354949,0.0001885679,0.00006108964,0.01083941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002885622,"threshold_uncertainty_score":0.00965333,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2324337356","doi":"10.4064/bc77-0-2","title":"The von Neumann minimax theorem revisited","year":2007,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Advanced Control Systems Optimization","field":"Engineering","cited_by":4,"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":"Minimax theorem; Minimax; Mathematics; Von Neumann architecture; Applied mathematics; Pure mathematics; Mathematical economics","authors":[{"name":"Hichem Ben-El-Mechaiekh","is_ca":true},{"name":"Robert W. Dimand","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.006669828682392726,"gpt":0.2239620741974582,"spread":0.2172922455150655,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003181983,0.0007124525,0.001528231,0.001024827,0.001297393,0.00411144,0.001965373,0.00244122,0.008127791],"category_scores_gemma":[0.007766068,0.0005721342,0.000877146,0.0009757046,0.004262552,0.007470657,0.002973898,0.005330574,0.0008654559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001210757,"about_ca_system_score_gemma":0.0009143697,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005372502,"about_ca_topic_score_gemma":0.0004503029,"domain_scores_codex":[0.998688,0.0004636906,0.00005562374,0.0002712997,0.0004014362,0.0001198725],"domain_scores_gemma":[0.998122,0.001292108,0.0001177091,0.0002028091,0.0001860417,0.00007928949],"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":[0.000006400516,0.000003996172,0.0000262668,0.00001701816,0.000007591767,0.00001862417,0.00002246466,0.0007228315,0.0001676372,0.996765,0.0006936291,0.001548418],"study_design_scores_gemma":[0.000003617151,0.00000327793,0.00004168334,0.000009541435,0.00000255155,0.00002181523,0.00001104665,0.004125635,0.000103047,0.9943829,0.001291004,0.000003888909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06351826,0.01186402,0.5392583,0.03591486,0.002296873,0.00005932429,0.0003604416,0.0001992665,0.3465286],"genre_scores_gemma":[0.8802431,0.007887577,0.03993352,0.004452957,0.003667039,0.0002066145,0.0001746883,0.0002335275,0.06320104],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008127791,"threshold_uncertainty_score":0.02719015,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2319140647","doi":"10.4064/bc88-0-6","title":"Fourier–Wigner transforms and Liouville's theorems for the sub-Laplacian on the Heisenberg group","year":2010,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Mathematical Analysis and Transform Methods","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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heisenberg group; Fourier transform; Mathematics; Group (periodic table); Laplace operator; Pure mathematics; Mathematical physics; Physics; Mathematical analysis; Quantum mechanics","authors":[{"name":"Aparajita Dasgupta","is_ca":true},{"name":"M. W. Wong","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04917125884068739,"gpt":0.3201799869955074,"spread":0.27100872815482,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008931576,0.001076128,0.0005351818,0.00186196,0.0008051094,0.001723537,0.0006684329,0.0008338479,0.004455878],"category_scores_gemma":[0.001960674,0.0002467546,0.0009462874,0.0009315995,0.002813762,0.003541674,0.0013468,0.002297516,0.0007534206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008581807,"about_ca_system_score_gemma":0.0004850185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007637092,"about_ca_topic_score_gemma":0.0004805777,"domain_scores_codex":[0.9997618,0.00005591721,0.00001101383,0.00004730324,0.00008110706,0.00004286708],"domain_scores_gemma":[0.9994335,0.0001929416,0.000104248,0.00007716322,0.0001079909,0.00008416778],"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":[0.000006301586,0.000005806125,0.0000711877,0.00000827345,0.000003892969,0.00005157354,0.0001119147,0.001110516,0.001341476,0.9946429,0.0004655792,0.002180603],"study_design_scores_gemma":[0.000004026617,0.00000913999,0.0001781832,0.00000541068,0.000003290547,0.00008497664,0.00005769296,0.01330985,0.0007128941,0.9843412,0.001284022,0.000009331172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3696516,0.001275369,0.5245163,0.003537613,0.0005192854,0.0000618198,0.0002764431,0.0002521133,0.09990953],"genre_scores_gemma":[0.9014956,0.001687273,0.0512262,0.0006035886,0.0007524975,0.0001120892,0.0002451715,0.0002177922,0.04365971],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004455878,"threshold_uncertainty_score":0.01490635,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2320937358","doi":"10.4064/bc84-0-6","title":"Some Čebyšev sets with dimension d+1 in hyperspaces over R<sup>d</sup>","year":2009,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Fixed Point Theorems Analysis","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":"Saint Mary's University","funders":"","keywords":"Mathematics; Dimension (graph theory); Euclidean space; Space (punctuation); Metric space; Point (geometry); Set (abstract data type); Closed set; Combinatorics; Convex set; Euclidean distance; Regular polygon; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Computer science; Convex optimization","authors":[{"name":"Robert J. MacG. Dawson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01912533644122948,"gpt":0.2782095677819794,"spread":0.2590842313407499,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001043478,0.0007508594,0.0007001334,0.002419161,0.001884485,0.002775563,0.001004399,0.001121879,0.003102296],"category_scores_gemma":[0.004186816,0.0005574009,0.0007929814,0.001532897,0.002865824,0.002813037,0.002138652,0.002137389,0.0004245174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002302884,"about_ca_system_score_gemma":0.0007612391,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002854255,"about_ca_topic_score_gemma":0.001660043,"domain_scores_codex":[0.9994122,0.0001492989,0.00004746484,0.0001085587,0.0001720774,0.0001105091],"domain_scores_gemma":[0.9985034,0.0006942113,0.0002397195,0.00011222,0.0002358233,0.0002146038],"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":[0.00004392262,0.00001125374,0.000753084,0.00004556353,0.00001054851,0.00008118063,0.0002461037,0.003329464,0.001232759,0.9880009,0.0009522157,0.005292878],"study_design_scores_gemma":[0.0000302302,0.00005597876,0.001661907,0.00006881481,0.0000123761,0.0003228845,0.0002681433,0.03616308,0.00180688,0.9529741,0.006592282,0.00004331838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7337152,0.004434942,0.1955508,0.001994409,0.0002728902,0.00009129482,0.0008081006,0.0001189285,0.06301342],"genre_scores_gemma":[0.9526265,0.001487068,0.02937414,0.0002678488,0.0002284707,0.0001588055,0.0007997577,0.00006917944,0.01498823],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003102296,"threshold_uncertainty_score":0.01670867,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4399089522","doi":"10.4064/bc127-4","title":"Optimality conditions for $\\mathbb {L}^p$ problems with reflected dynamics","year":2024,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Differential Equations and Boundary Problems","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":"Université Laval","funders":"","keywords":"Dynamics (music); Mathematics; Combinatorics; Pure mathematics; Physics","authors":[{"name":"Dan Goreac","is_ca":true},{"name":"Juan Li","is_ca":false},{"name":"Oana‐Silvia Serea","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07435539171134468,"gpt":0.3559298450229193,"spread":0.2815744533115746,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006753957,0.001995691,0.002069533,0.001810996,0.001287222,0.003659412,0.002321306,0.003398235,0.004558766],"category_scores_gemma":[0.01613993,0.0008724175,0.001600429,0.0007516007,0.004258643,0.005107106,0.004396346,0.005386461,0.0004092422],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003379341,"about_ca_system_score_gemma":0.002586556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002595323,"about_ca_topic_score_gemma":0.001446738,"domain_scores_codex":[0.9976904,0.001070986,0.0001293649,0.0004606663,0.0003774159,0.0002711114],"domain_scores_gemma":[0.9924353,0.005485119,0.0005884104,0.0001883893,0.000751395,0.000551311],"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":[0.00009614189,0.00009841263,0.0003766098,0.0002559155,0.00004948752,0.0001753102,0.0002445575,0.07648084,0.003388921,0.912199,0.001690933,0.004943854],"study_design_scores_gemma":[0.0000701069,0.0001869107,0.0004920578,0.0001333762,0.0000303197,0.00006739138,0.0002108088,0.4183028,0.001635681,0.5769907,0.001843236,0.00003653657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07911344,0.001475833,0.8783512,0.00552865,0.000265502,0.0002401847,0.0004100716,0.000120282,0.03449491],"genre_scores_gemma":[0.7578924,0.002307595,0.2063036,0.001622593,0.0007079139,0.001262956,0.0009886264,0.0004293969,0.02848505],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006753957,"threshold_uncertainty_score":0.03571874,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1525745204","doi":"10.4064/bc61-0-5","title":"Cyclic cohomology of (extended) Hopf algebras","year":2003,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Hermeneutics and Narrative Identity","field":"Arts and Humanities","cited_by":1,"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":"Hopf algebra; Mathematics; Cohomology; Cyclic homology; Pure mathematics; Algebra over a field","authors":[{"name":"Masoud Khalkhali","is_ca":true},{"name":"Bahram Rangipour","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03006442203249695,"gpt":0.2511565538579368,"spread":0.2210921318254399,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003151634,0.0003275187,0.00021798,0.001334734,0.0005370628,0.001117814,0.0004814317,0.0003007089,0.005945948],"category_scores_gemma":[0.0006993308,0.00007599305,0.0002171285,0.001508991,0.00136044,0.002855277,0.001009351,0.0005099443,0.0004997877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000661624,"about_ca_system_score_gemma":0.0004221244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001037766,"about_ca_topic_score_gemma":0.0007743568,"domain_scores_codex":[0.999824,0.00003438514,0.000007672742,0.00002643601,0.00006308997,0.00004458526],"domain_scores_gemma":[0.9997582,0.00008118423,0.00002927634,0.00002039801,0.00007184058,0.00003900983],"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":[0.000005395005,0.000007777331,0.0003333237,0.0001655147,0.00000662095,0.0001300101,0.0003150686,0.0008420175,0.0008356146,0.9698086,0.002382977,0.0251671],"study_design_scores_gemma":[0.000003686525,0.00002924131,0.0014657,0.0001060211,0.00001077179,0.0004572405,0.0003790809,0.002303639,0.0009387389,0.8845612,0.1097276,0.00001709496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2667442,0.1701282,0.08697595,0.004372984,0.002540298,0.00007229016,0.0004133316,0.000215426,0.4685373],"genre_scores_gemma":[0.8535686,0.08692535,0.01035944,0.0005389185,0.004530148,0.00004687113,0.0004276672,0.00003406882,0.04356897],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005945948,"threshold_uncertainty_score":0.0198912,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964208571","doi":"10.4064/bc94-0-6","title":"Branching data for algebraic functions and representability by radicals","year":2011,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Commutative Algebra and Its Applications","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 Toronto","funders":"","keywords":"Branching (polymer chemistry); Algebraic number; Algebraic function; Mathematics; Radical; Function field of an algebraic variety; Real algebraic geometry; Pure mathematics; Mathematical analysis; Chemistry; Organic chemistry","authors":[{"name":"Yuri Burda","is_ca":true},{"name":"Askold Khovanskiĭ","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1936259475608988,"gpt":0.3655050018844642,"spread":0.1718790543235654,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001974273,0.0005596282,0.0007402223,0.002756529,0.001194944,0.003335073,0.0008287071,0.0009075856,0.004584196],"category_scores_gemma":[0.003611173,0.0003734113,0.0007057791,0.002896143,0.005769503,0.0103684,0.002089691,0.003480926,0.000805892],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001379129,"about_ca_system_score_gemma":0.0005368686,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003071747,"about_ca_topic_score_gemma":0.0002415163,"domain_scores_codex":[0.9990218,0.0002275723,0.0001142406,0.0002130596,0.0003383084,0.000085003],"domain_scores_gemma":[0.9971874,0.001680611,0.0002378949,0.0003825388,0.0003803275,0.0001312964],"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":[0.000006790674,0.000006395359,0.00006954731,0.00007458498,0.000002684464,0.00002403754,0.0001556806,0.0003627605,0.0006101669,0.9858364,0.000527599,0.01232333],"study_design_scores_gemma":[0.000003892158,0.00001700968,0.0001101417,0.00005390413,0.00000371325,0.0001005441,0.00008456341,0.001055961,0.001155963,0.9777279,0.01967177,0.00001465421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1626286,0.08872388,0.5060377,0.007085218,0.001738367,0.0000863962,0.0006677082,0.0004799315,0.2325523],"genre_scores_gemma":[0.7803691,0.0663815,0.1219745,0.001168106,0.003528023,0.0001679994,0.0007654399,0.0003112344,0.02533401],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004584196,"threshold_uncertainty_score":0.01533568,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2323629771","doi":"10.4064/bc100-0-5","title":"On stability of Alexander polynomials of knots and links (survey)","year":2014,"lang":"en","type":"article","venue":"Banach Center Publications","topic":"Geometric and Algebraic Topology","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 Toronto","funders":"","keywords":"Mathematics; Difference polynomials; Classical orthogonal polynomials; Discrete orthogonal polynomials; Wilson polynomials; Orthogonal polynomials; Hahn polynomials; Macdonald polynomials; Pure mathematics; Gegenbauer polynomials; Stability (learning theory); Koornwinder polynomials; Algebra over a field; Computer science","authors":[{"name":"Mikami Hirasawa","is_ca":false},{"name":"Kunio Murasugi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06800172883125676,"gpt":0.3112984937922034,"spread":0.2432967649609466,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000984158,0.0006116984,0.0008804464,0.003001947,0.0006036127,0.001482162,0.0005519584,0.0005459579,0.003959742],"category_scores_gemma":[0.002867888,0.0003591562,0.0004118469,0.004632864,0.001371668,0.003072371,0.0009175832,0.001143869,0.0009645729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006684391,"about_ca_system_score_gemma":0.0004237845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007271026,"about_ca_topic_score_gemma":0.0004436037,"domain_scores_codex":[0.9996455,0.00005175429,0.00002315721,0.0001440398,0.00008695487,0.00004866829],"domain_scores_gemma":[0.9981427,0.001083535,0.0002364101,0.00009572806,0.0003270743,0.0001145289],"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":[0.00016321,0.00009424908,0.007692903,0.003010897,0.0001328002,0.0001813288,0.0006080305,0.01658454,0.003905631,0.4864649,0.01341023,0.4677514],"study_design_scores_gemma":[0.00003579289,0.0005227722,0.0175749,0.0009337759,0.0001764231,0.002554709,0.0006467875,0.02936343,0.004094343,0.7534008,0.1905435,0.0001526813],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.2005381,0.6255321,0.1159038,0.003584141,0.001097368,0.00002988309,0.000952087,0.0002253536,0.05213717],"genre_scores_gemma":[0.5913836,0.3780595,0.01357842,0.0004731395,0.004643279,0.00004339778,0.001135831,0.00008868104,0.01059417],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.003959742,"threshold_uncertainty_score":0.01324666,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}