{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001657975,0.0001721091,0.0002176918,0.0002807567,0.0001615601,0.0001639203,0.0009142223,0.0001580722,0.00001246984],"category_scores_gemma":[0.00002142112,0.0002043999,0.000137067,0.0007498103,0.00009676361,0.0003131853,0.0005040857,0.0002361541,0.000009274949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009089004,"about_ca_system_score_gemma":0.0003830528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001019803,"about_ca_topic_score_gemma":0.00001870206,"domain_scores_codex":[0.9988228,0.00009602635,0.0001970277,0.0006079706,0.0001053403,0.0001708309],"domain_scores_gemma":[0.9988318,0.00005274999,0.0002734693,0.0005112948,0.0002537616,0.00007690837],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001155598,0.0001103007,0.002120106,0.00003310389,0.00003421823,0.0001074202,0.0003462989,0.8266808,0.0009742619,0.1663898,0.00009003661,0.003102],"study_design_scores_gemma":[0.0004363783,0.00009366919,0.02467609,0.0001449186,0.00006555169,0.00001093381,0.00005247386,0.8159022,0.005816544,0.1521343,0.0001197826,0.0005471071],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4981506,0.00006255229,0.5008687,0.00004081204,0.0002334112,0.00007622377,0.000004771567,0.0000770598,0.0004858467],"genre_scores_gemma":[0.9895654,0.00002558782,0.009910996,0.00003167939,0.00005587501,2.222893e-7,0.00002411231,0.000004442943,0.0003817356],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4914148,"threshold_uncertainty_score":0.8335186,"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."}}