{"id":"W2951748744","doi":"10.48550/arxiv.1105.4163","title":"The number of points in a matroid with no n-point line as a minor","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Matroid; Combinatorics; Minor (academic); Prime power; Mathematics; Rank (graph theory); Integer (computer science); Line (geometry); Prime (order theory); Point (geometry); Projective plane; Discrete mathematics; Geometry; Computer science; Humanities","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":[0.0008893789,0.0006758396,0.0007150733,0.001376251,0.001555797,0.003124609,0.001480956,0.001102692,0.009067548],"category_scores_gemma":[0.004122962,0.000545813,0.0006402975,0.0009959694,0.002542953,0.003930821,0.001965719,0.001204876,0.001674047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001162059,"about_ca_system_score_gemma":0.0005129341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000705372,"about_ca_topic_score_gemma":0.0007940143,"domain_scores_codex":[0.9988258,0.0002927168,0.00008221775,0.0002864317,0.0002636926,0.0002490152],"domain_scores_gemma":[0.9953752,0.002070239,0.0009177698,0.0005578537,0.0003459586,0.0007328409],"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":[0.003718264,0.0003639951,0.03695958,0.000903915,0.0002872937,0.001670381,0.002328705,0.03011403,0.09014922,0.7313238,0.01548877,0.086692],"study_design_scores_gemma":[0.0005289321,0.001275616,0.02595127,0.0001858666,0.0003009396,0.006580416,0.002216979,0.1255384,0.08776371,0.6959844,0.05340717,0.000266344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9301998,0.0003489764,0.03974619,0.00188355,0.00006677955,0.00006738874,0.001589511,0.0002876963,0.02581016],"genre_scores_gemma":[0.9683309,0.0002863851,0.01848796,0.0001324642,0.0001209445,0.0001182247,0.001107302,0.00006675866,0.01134903],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009067548,"threshold_uncertainty_score":0.03033394,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05439467276213062,"score_gpt":0.2211449071093463,"score_spread":0.1667502343472157,"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."}}