{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007342387,0.0005680689,0.0004399696,0.001496662,0.003138102,0.003990273,0.001097419,0.0009929981,0.02242645],"category_scores_gemma":[0.003397492,0.0003476483,0.0008649473,0.001292449,0.003519493,0.005427566,0.003607019,0.002974057,0.002458811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002363598,"about_ca_system_score_gemma":0.0007514388,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003385797,"about_ca_topic_score_gemma":0.0026126,"domain_scores_codex":[0.9988153,0.0002278627,0.00005430189,0.0002692833,0.0004343076,0.0001989369],"domain_scores_gemma":[0.9983255,0.000628152,0.0002084627,0.0002377028,0.0003451122,0.0002550096],"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":[0.000006175983,0.000003096811,0.00006079831,0.00001005698,7.195507e-7,0.00003503067,0.0001237337,0.0001347526,0.0001526312,0.9978901,0.000506857,0.001076215],"study_design_scores_gemma":[0.0000157976,0.00002104872,0.0002431461,0.00002135614,0.000004436895,0.0001964653,0.0004497091,0.003404212,0.0009701612,0.958168,0.03649191,0.00001378933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.2134274,0.001069457,0.1997374,0.002992637,0.0008773394,0.0002014289,0.0006613593,0.000341428,0.5806915],"genre_scores_gemma":[0.8769277,0.0009811934,0.0388584,0.0009184558,0.0004393558,0.000215299,0.0007787852,0.0002742931,0.08060643],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.02242645,"threshold_uncertainty_score":0.07502395,"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."}}