{"id":"W7106782718","doi":"","title":"Extremality in semidistributive lattices","year":2025,"lang":"","type":"article","venue":"ArXiv.org","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Counterexample; Lattice (music); Chromatic scale; Complete lattice; Congruence (geometry); Galois connection; Torsion (gastropod); Distributive property","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":[0.0008979531,0.0002749407,0.0004174658,0.001336444,0.001281648,0.002993162,0.0007387837,0.000330822,0.003428641],"category_scores_gemma":[0.003086379,0.0003798302,0.0005678469,0.0006468777,0.003627548,0.003906298,0.002233464,0.001256795,0.0002408449],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001332697,"about_ca_system_score_gemma":0.0003421791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004856277,"about_ca_topic_score_gemma":0.0006844351,"domain_scores_codex":[0.9989277,0.0001792855,0.00006396745,0.0002786084,0.0003326187,0.0002179271],"domain_scores_gemma":[0.9969695,0.001243064,0.0005245456,0.0003672572,0.0002824497,0.0006131069],"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":[0.0001005556,0.00004110167,0.003265204,0.00004561583,0.00001257129,0.0001486465,0.0005233458,0.001579939,0.004998859,0.9837277,0.0002632461,0.005293196],"study_design_scores_gemma":[0.00003675058,0.00005883254,0.00345043,0.00002087543,0.00001948047,0.0004051551,0.000414431,0.01326981,0.007839384,0.9710436,0.003410179,0.00003101088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9164977,0.0003430881,0.05368483,0.0003577071,0.0000335573,0.00002404645,0.0001387251,0.0001059914,0.02881435],"genre_scores_gemma":[0.991143,0.00007328601,0.006749024,0.00002806291,0.00005062967,0.00001665853,0.00006778294,0.0000162555,0.001855221],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003428641,"threshold_uncertainty_score":0.01146996,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04182551705983525,"score_gpt":0.3040611459194292,"score_spread":0.262235628859594,"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."}}