{"id":"W2140047776","doi":"10.48550/arxiv.1505.03664","title":"The Genus Distribution of Doubly Hexagonal Chains","year":2015,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Graph theory and applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Genus; Hexagonal crystal system; Distribution (mathematics); Combinatorics; Mathematics; Crystallography; Zoology; Biology; Chemistry; Mathematical analysis","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":[0.0003134676,0.0003251608,0.0002329585,0.001716714,0.0005566722,0.0008935525,0.0005720172,0.0005711104,0.005044925],"category_scores_gemma":[0.002485003,0.0002239591,0.000165047,0.0005089726,0.0009909217,0.001351071,0.0008358983,0.0005894655,0.0005194863],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005239936,"about_ca_system_score_gemma":0.0002094667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008807426,"about_ca_topic_score_gemma":0.001159562,"domain_scores_codex":[0.9998719,0.00003157722,0.000003262624,0.00001904369,0.00003821474,0.00003601083],"domain_scores_gemma":[0.9993531,0.0002662645,0.00009275413,0.00007712244,0.00009991423,0.0001107311],"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":[0.0002412852,0.00008201303,0.004866998,0.0001233471,0.00001827907,0.000485655,0.0005106843,0.0763965,0.02392613,0.8614588,0.004494936,0.02739532],"study_design_scores_gemma":[0.00001909515,0.00003691087,0.002907107,0.00003983891,0.000007779275,0.0001825459,0.0002610856,0.6306453,0.006059679,0.3582354,0.001564757,0.00004043422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9053652,0.0003116741,0.06842591,0.0003485023,0.0000676906,0.00001709139,0.0001983573,0.0002497077,0.02501589],"genre_scores_gemma":[0.9930016,0.0001573408,0.003590337,0.00003381444,0.00002967348,0.00001541773,0.0001074037,0.00006909734,0.002995102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005044925,"threshold_uncertainty_score":0.016877,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1376145981311993,"score_gpt":0.231945616827077,"score_spread":0.09433101869587762,"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."}}