{"id":"W2963536692","doi":"10.2478/tatra.v64i0.374","title":"A generalized Goursat lemma","year":2015,"lang":"en","type":"article","venue":"Tatra Mountains Mathematical Publications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sylow theorems; Lemma (botany); Profinite group; Pure mathematics; Direct product; Product (mathematics); Locally finite group; Group (periodic table); Finite group; Abelian group; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000968732,0.0002552236,0.0004472194,0.0004031401,0.0001562477,0.0001295591,0.0005512257,0.0001703596,0.001365984],"category_scores_gemma":[0.004874169,0.0002151576,0.0001548824,0.001162594,0.0002482413,0.0002838807,0.0001439972,0.000250583,0.001205573],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001668212,"about_ca_system_score_gemma":0.0002434221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001941162,"about_ca_topic_score_gemma":0.00001176825,"domain_scores_codex":[0.997755,0.0001258134,0.0006457929,0.0003747294,0.0005140221,0.0005846418],"domain_scores_gemma":[0.997234,0.0007647249,0.0001961328,0.0008718962,0.0003629179,0.0005702711],"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":[0.000004858111,0.0003979298,0.0001548403,0.00003136762,0.00004366782,0.000002225039,0.0005963518,0.00000241616,0.00001754168,0.9243045,0.0740403,0.0004040011],"study_design_scores_gemma":[0.0007789128,0.00006397137,0.0001911875,0.00000886417,0.0000731668,0.00009286938,0.0006750584,0.0007406612,0.00005198407,0.9578769,0.03918938,0.0002570779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4164355,0.0001920162,0.3143875,0.04308917,0.0003558204,0.001507216,0.00007825537,0.001791119,0.2221635],"genre_scores_gemma":[0.8158145,0.000006190073,0.1593258,0.0008410918,0.000353394,0.0003764798,0.00008364591,0.00009150487,0.02310734],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.399379,"threshold_uncertainty_score":0.9995721,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1509858034346688,"score_gpt":0.3649853765535787,"score_spread":0.2139995731189099,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}