{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005163538,0.0001725446,0.000216711,0.00004341523,0.00020809,0.00002063006,0.0006308912,0.0001883865,0.00001604143],"category_scores_gemma":[0.0001090361,0.0001509777,0.0001927901,0.0002514833,0.0002644547,0.00004252655,0.0004359944,0.0003449524,0.0000231726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000104319,"about_ca_system_score_gemma":0.0001392984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002842183,"about_ca_topic_score_gemma":0.00003387769,"domain_scores_codex":[0.9990933,0.0001157554,0.0001961903,0.0003276936,0.00007640108,0.0001906585],"domain_scores_gemma":[0.9982362,0.0002923472,0.0003146005,0.0008102968,0.000253369,0.00009312929],"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":[0.00004642114,0.00009100399,0.000199296,0.00004580614,0.00007783908,0.000005490554,0.00009426142,0.002241475,0.0000114004,0.9952018,0.001865097,0.0001200838],"study_design_scores_gemma":[0.0002544571,0.00001838906,0.0002677376,0.00003606531,0.0001415749,0.000001846288,0.0001890953,0.00423471,0.0001336262,0.9895805,0.004975231,0.0001667691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9686681,0.00005733966,0.02721786,0.0001156341,0.000177367,0.0003514071,0.000298339,0.00007586395,0.003038064],"genre_scores_gemma":[0.9975411,0.00007617625,0.0000674117,0.000006506934,0.00005737099,0.000002667038,0.0001012342,0.00001324308,0.002134294],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02887298,"threshold_uncertainty_score":0.6156693,"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."}}