{"id":"W2950837452","doi":"10.48550/arxiv.0911.0452","title":"Unexpected behaviour of crossing sequences","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Conjecture; Combinatorics; Crossing number (knot theory); Graph; Genus; Mathematics; Surface (topology); Geography; Botany; Geometry; Biology; Cartography","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":[0.0008021329,0.0003592318,0.0004854003,0.002278895,0.0009788115,0.001508639,0.0008676184,0.001256615,0.003456372],"category_scores_gemma":[0.01038324,0.0005406492,0.0003444975,0.001134106,0.00149477,0.002005787,0.0008903777,0.001551874,0.000485559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000983358,"about_ca_system_score_gemma":0.0002894902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005658406,"about_ca_topic_score_gemma":0.0008199298,"domain_scores_codex":[0.9992486,0.0001543353,0.0000314677,0.0002734764,0.0001854506,0.0001066616],"domain_scores_gemma":[0.994512,0.002778181,0.0006104598,0.001012231,0.0005176894,0.0005694302],"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":[0.0005098908,0.0001667918,0.02818761,0.0005283012,0.0001129493,0.001162856,0.001398449,0.06156793,0.07976008,0.7237521,0.01505257,0.08780051],"study_design_scores_gemma":[0.00008151137,0.0001746371,0.02076492,0.0001320551,0.00007558322,0.003657906,0.000813259,0.1855242,0.03447396,0.7297942,0.02437272,0.0001350878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.909173,0.002047527,0.05893536,0.001339724,0.0002592827,0.00003022184,0.0005314673,0.001156416,0.02652698],"genre_scores_gemma":[0.9841897,0.0003659928,0.01344116,0.0001082687,0.00005693065,0.00002534869,0.0002712841,0.0001561396,0.001385249],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003456372,"threshold_uncertainty_score":0.01156276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07537243854393766,"score_gpt":0.208705871795033,"score_spread":0.1333334332510953,"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."}}