{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001367353,0.0003085097,0.0004119401,0.0001402817,0.0001711378,0.00005055105,0.0005533615,0.0004931289,0.00006742214],"category_scores_gemma":[0.0002632341,0.0003281105,0.0002994382,0.0002042423,0.00005933533,0.00007368245,0.0007407994,0.0003558924,0.00003338409],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001610244,"about_ca_system_score_gemma":0.0001758056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001864748,"about_ca_topic_score_gemma":0.0001220847,"domain_scores_codex":[0.9986178,0.00004987025,0.0002033131,0.0007134815,0.00009102352,0.0003245106],"domain_scores_gemma":[0.9985403,0.0003029932,0.0002170122,0.0006103734,0.0002252383,0.0001041018],"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":[0.0001109511,0.00004670428,0.0003120805,0.0002423536,0.0001367039,0.00002648954,0.0001307724,0.003276232,0.000007204286,0.9909474,0.004702787,0.0000603288],"study_design_scores_gemma":[0.0006509238,0.00005454193,0.00006822188,0.00007477895,0.0001830803,5.990011e-7,0.000144893,0.009749599,0.00005589353,0.9870239,0.001628835,0.0003646745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9107259,0.00001290301,0.08347978,0.00007471182,0.003657731,0.0008363018,0.00007410615,0.0004351407,0.0007034333],"genre_scores_gemma":[0.9918892,0.00004693092,0.0009581777,0.00002689536,0.0004224727,0.000005261787,0.00003636886,0.0000652602,0.006549435],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08252161,"threshold_uncertainty_score":0.9999171,"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."}}