{"id":"W4414459966","doi":"10.1090/proc/17352","title":"Quasi-arithmetic hyperbolic Coxeter prisms","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"Russian Science Foundation; King Abdullah University of Science and Technology","keywords":"Coxeter group; Commensurability (mathematics); Class (philosophy); Reflection (computer programming); Graph","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":[],"consensus_categories":[],"category_scores_codex":[0.0003584038,0.0002366005,0.0006384352,0.00002867354,0.0001618049,0.00005254194,0.0007438884,0.00008218826,0.0000352241],"category_scores_gemma":[0.0006550236,0.0001500504,0.000547165,0.0006845337,0.0006728917,0.00007389859,0.0003907686,0.0002900287,0.000005082957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007326254,"about_ca_system_score_gemma":0.00004738852,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001106845,"about_ca_topic_score_gemma":1.193789e-7,"domain_scores_codex":[0.9984258,0.0000125006,0.0004920109,0.0002815564,0.0004454432,0.0003426808],"domain_scores_gemma":[0.9986238,0.0003885175,0.0004380465,0.00027529,0.0002033684,0.0000709037],"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":[0.00001395605,0.0002560282,0.0005396683,0.0004213226,0.0001448319,4.64544e-8,0.0008712996,1.738942e-7,0.001066606,0.9910739,0.004989639,0.0006225029],"study_design_scores_gemma":[0.0002723746,0.00007853505,0.0004831379,0.0001543317,0.0001532033,0.00000399696,0.001006728,0.0005733402,0.003755445,0.993077,0.000282944,0.0001589075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9847796,0.00003550046,0.002033821,0.001810814,0.0001529306,0.0004451613,0.00000205555,0.0001073463,0.01063275],"genre_scores_gemma":[0.974254,0.0000125889,0.02404713,0.0006796927,0.00006633984,0.00004648325,1.202639e-7,0.00002904439,0.0008646301],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02201331,"threshold_uncertainty_score":0.6118876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01427798720612238,"score_gpt":0.2835197197212951,"score_spread":0.2692417325151727,"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."}}