{"id":"W4378700942","doi":"10.1016/j.aim.2023.109110","title":"Groupoids and skeletal categories form a pretorsion theory in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"> <mml:mi mathvariant=\"sans-serif\">Cat</mml:mi> </mml:math>","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Ministero dell’Istruzione, dell’Università e della Ricerca; Fonds De La Recherche Scientifique - FNRS","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Torsion (gastropod); Pure mathematics; Combinatorics; Discrete mathematics; Crystallography","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008511081,0.0007277643,0.0005945091,0.002094913,0.002759333,0.005887869,0.001022284,0.001476504,0.02306664],"category_scores_gemma":[0.00120792,0.0006101654,0.001174422,0.001799813,0.003960729,0.01182969,0.003189418,0.00334677,0.004875348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002000273,"about_ca_system_score_gemma":0.0009137396,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002214757,"about_ca_topic_score_gemma":0.003197251,"domain_scores_codex":[0.9991684,0.0002110749,0.00006351421,0.0002338504,0.0002160827,0.0001071936],"domain_scores_gemma":[0.9992825,0.0002193053,0.00005898505,0.0001625425,0.0001744114,0.0001022141],"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":[0.000006416878,0.000004845017,0.00006607934,0.0000135672,0.000002682919,0.00001921303,0.0001840082,0.0000790104,0.0001672365,0.9934342,0.002137993,0.003884738],"study_design_scores_gemma":[0.000004614842,0.00001166969,0.0001909834,0.0000196329,0.000006695027,0.00008294568,0.0002337763,0.0007447295,0.0004817545,0.9660708,0.03214419,0.000008223864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.07103905,0.003295304,0.3343145,0.01057241,0.00126896,0.0001293611,0.001831233,0.001384574,0.5761647],"genre_scores_gemma":[0.7119687,0.002063816,0.1018037,0.001313675,0.0009696198,0.000170049,0.002760085,0.0006927991,0.1782577],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02306664,"threshold_uncertainty_score":0.0771656,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01524901433837429,"score_gpt":0.2650184405409094,"score_spread":0.2497694262025351,"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."}}