{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":2,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":2,"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":"50d6fea0da2a","filters":{"venue":"Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica"}},"results":[{"id":"W2903446088","doi":"10.2478/aupcsm-2018-0007","title":"Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces","year":2018,"lang":"en","type":"article","venue":"Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica","topic":"Optimization and Variational 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":"University of Manitoba; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Banach space; Regular polygon; Dual (grammatical number); Fixed point; Norm (philosophy); Fixed-point property; Pure mathematics; Uniformly convex space; Discrete mathematics; Mathematical analysis; Lp space; Banach manifold; Geometry","authors":[{"name":"Anthony To‐Ming Lau","is_ca":true},{"name":"Yong Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05165598083043365,"gpt":0.2788397013651341,"spread":0.2271837205347005,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002999367,0.0006090237,0.0006815523,0.001912963,0.0009489938,0.0023676,0.0007871985,0.0007845897,0.003035066],"category_scores_gemma":[0.004889543,0.0004048485,0.001064066,0.0005247034,0.002631158,0.002224151,0.001618032,0.001307394,0.0002076755],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009511852,"about_ca_system_score_gemma":0.0004059504,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003755662,"about_ca_topic_score_gemma":0.000213078,"domain_scores_codex":[0.9989704,0.0003223645,0.00007223232,0.0002610209,0.0002810464,0.00009291653],"domain_scores_gemma":[0.9961599,0.002115163,0.0005958399,0.0001554295,0.0005220559,0.0004515377],"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":[0.000175046,0.00008091609,0.002239074,0.0001139449,0.00005942636,0.0007591029,0.001704224,0.01107757,0.01961764,0.9588712,0.0003383717,0.004963478],"study_design_scores_gemma":[0.00005977441,0.0003814458,0.002972311,0.00005504324,0.00004598276,0.0008750842,0.001157441,0.1914775,0.008472165,0.7915049,0.00294482,0.00005361604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7258518,0.0007344956,0.2615682,0.0004440319,0.0000897782,0.00008473733,0.0001202718,0.00005080607,0.01105574],"genre_scores_gemma":[0.9750763,0.0001995503,0.02088051,0.00003698191,0.00007002584,0.0000994892,0.0000931398,0.00002065021,0.003523403],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003035066,"threshold_uncertainty_score":0.01586235,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3195175323","doi":"10.2478/aupcsm-2021-0007","title":"Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles","year":2021,"lang":"en","type":"preprint","venue":"Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica","topic":"Commutative Algebra and Its 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":"Carleton University; Royal Military College of Canada; Université du Québec à Montréal","funders":"","keywords":"Vector bundle; Endomorphism; Mathematics; Abelian group; Pure mathematics; Variety (cybernetics); Polynomial; Theta function; Algebra over a field; Simple (philosophy); Combinatorics; Mathematical analysis","authors":[{"name":"Nathan Grieve","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08743230483682894,"gpt":0.323697490661241,"spread":0.236265185824412,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007426105,0.0003024712,0.000547752,0.001841276,0.001060506,0.001832907,0.0006170795,0.0004764762,0.003317193],"category_scores_gemma":[0.002919987,0.0002390143,0.0005891689,0.0007410129,0.002571892,0.002937007,0.001603737,0.001141504,0.0002217593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001179032,"about_ca_system_score_gemma":0.0003397927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001376093,"about_ca_topic_score_gemma":0.0009327439,"domain_scores_codex":[0.9995281,0.00008867901,0.00002348555,0.0001212358,0.000138379,0.0001002579],"domain_scores_gemma":[0.9986783,0.0004138385,0.0002416166,0.0001319837,0.0002022114,0.0003320005],"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":[0.00003956986,0.00001484926,0.001836339,0.00002545785,0.000009331753,0.0001269294,0.0001950831,0.0009404172,0.001399269,0.9922056,0.0003461983,0.002860959],"study_design_scores_gemma":[0.00002562381,0.00008022197,0.007017761,0.00004732392,0.00002400214,0.0005881867,0.0004538892,0.02591645,0.003554514,0.9568362,0.005424483,0.00003130313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9012592,0.0006972062,0.06657855,0.0006718821,0.00006755257,0.00002694778,0.0001377308,0.00005203909,0.03050885],"genre_scores_gemma":[0.989796,0.000224088,0.004353044,0.00005157677,0.0000987288,0.00001516038,0.0001117801,0.00002348217,0.005326028],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003317193,"threshold_uncertainty_score":0.01109719,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}