{"id":"W2019253309","doi":"10.1016/j.jcta.2004.11.012","title":"Self-duality of chiral polytopes","year":2005,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Synthesis and Properties of Aromatic Compounds","field":"Chemistry","cited_by":25,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Polytope; Duality (order theory); Rank (graph theory); Automorphism; Dual (grammatical number); Combinatorics; Mathematics; Polarity (international relations); Pure mathematics; Chemistry; Philosophy; Linguistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003494746,0.0003507292,0.0004704426,0.001538389,0.001242007,0.002276505,0.0004011425,0.0005030758,0.005062844],"category_scores_gemma":[0.0008784253,0.0003065317,0.0004102343,0.0004614294,0.0014829,0.001189383,0.0008677201,0.0009072587,0.0003894505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006380253,"about_ca_system_score_gemma":0.0003634217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001990113,"about_ca_topic_score_gemma":0.0003037769,"domain_scores_codex":[0.9996896,0.00006878874,0.00001528542,0.0000467777,0.0001072698,0.0000723649],"domain_scores_gemma":[0.9994134,0.0001712223,0.00007866156,0.0000767103,0.0000890619,0.0001709684],"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":[0.00003530111,0.00004304997,0.0001441329,0.00001538425,0.000003838686,0.0000689661,0.00007100415,0.001031114,0.004494785,0.9904826,0.0005473519,0.003062457],"study_design_scores_gemma":[0.00004369579,0.00008460874,0.0005865378,0.00001769643,0.000008606165,0.0003511975,0.0001176432,0.01756995,0.008055645,0.9685762,0.00456692,0.00002120138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8490104,0.0003759777,0.03013935,0.0004431469,0.0002196988,0.00004654318,0.00009863015,0.0001159045,0.1195504],"genre_scores_gemma":[0.9793386,0.0002017621,0.005925544,0.0001312709,0.0001213234,0.00003662083,0.00009716467,0.0000751488,0.01407263],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005062844,"threshold_uncertainty_score":0.0169369,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008744218932907045,"score_gpt":0.2244410596797769,"score_spread":0.2156968407468698,"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."}}