{"id":"W4376167225","doi":"10.48550/arxiv.2305.06031","title":"A facial order for torsion classes","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Torsion (gastropod); Lattice (music); Pure mathematics; Abelian group; Coxeter group; Combinatorics; Algebra over a field; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004950466,0.0002727209,0.0003084192,0.0008608958,0.001239621,0.002189579,0.0004915325,0.0003534874,0.004924716],"category_scores_gemma":[0.001142632,0.0001856289,0.0004969614,0.0004288512,0.00262624,0.00362325,0.001622279,0.001152596,0.0004440111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001480083,"about_ca_system_score_gemma":0.0006022333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001643869,"about_ca_topic_score_gemma":0.002639536,"domain_scores_codex":[0.9994288,0.00006511995,0.00003221333,0.0001267788,0.000211729,0.0001353369],"domain_scores_gemma":[0.9993291,0.0001298449,0.00008009902,0.0001709216,0.0001268997,0.0001632453],"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":[0.00002785873,0.00001177488,0.0006668917,0.000016775,0.000003423221,0.0001079853,0.0004449947,0.0004520444,0.004167388,0.9863648,0.0003618623,0.007374241],"study_design_scores_gemma":[0.00002236312,0.00007835521,0.001655182,0.00002114178,0.00001658789,0.0004821337,0.0006137036,0.006386765,0.006442842,0.9600449,0.02420889,0.00002710705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7325953,0.0005275374,0.1708455,0.0007501559,0.0002047287,0.00007203134,0.0003895636,0.0003249042,0.09429023],"genre_scores_gemma":[0.9607508,0.0001409425,0.02591337,0.0001176248,0.0001056219,0.0000436196,0.0001868621,0.00006422491,0.01267697],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004924716,"threshold_uncertainty_score":0.01647478,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1808810070099399,"score_gpt":0.2490483324788086,"score_spread":0.06816732546886878,"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."}}