{"id":"W3114867747","doi":"10.5802/alco.142","title":"Chapoton triangles for nonkissing complexes","year":2020,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Combinatorics; Catalan number; Conjecture; Mathematics; Coxeter group; Catalan; Isosceles triangle; Lattice (music); Parallels; Grid; Number theory; Discrete mathematics; Geometry; Physics; Humanities","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":[0.0003411493,0.0003775058,0.0006928325,0.00007970598,0.0002846053,0.0000894395,0.0005686635,0.0001614946,0.00005360248],"category_scores_gemma":[0.003462936,0.0003799062,0.0002413679,0.0005666913,0.00008499849,0.0002234481,0.0001874164,0.0002564182,0.0000433055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001144986,"about_ca_system_score_gemma":0.00008334801,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001899489,"about_ca_topic_score_gemma":8.738939e-7,"domain_scores_codex":[0.9977788,0.00006642064,0.0006762542,0.0004830173,0.0004512547,0.000544281],"domain_scores_gemma":[0.9966323,0.001955298,0.0003636666,0.0004978682,0.000246364,0.0003044446],"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":[0.00005128803,0.0002058316,0.00002819875,0.0003981247,0.00005050836,0.000006082375,0.001383571,0.000001975676,0.0008373395,0.9916607,0.004213479,0.001162887],"study_design_scores_gemma":[0.002361013,0.000375677,0.000007930451,0.00005374244,0.00008730457,0.000005980689,0.0003257996,0.001509606,0.006102799,0.9725177,0.01621489,0.0004375567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3568113,0.001115784,0.5957586,0.01293801,0.006549345,0.00752612,0.0001209813,0.003495061,0.01568474],"genre_scores_gemma":[0.9672539,0.0000142199,0.03113862,0.0005419272,0.0004339948,0.0001588225,0.0000168427,0.0001607768,0.0002809509],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6104425,"threshold_uncertainty_score":0.9998653,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1475381992898321,"score_gpt":0.3512335605638952,"score_spread":0.2036953612740632,"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."}}