{"id":"W1762497644","doi":"10.37236/4373","title":"On Obstacle Numbers","year":2015,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Obstacle; Upper and lower bounds; Combinatorics; Omega; Mathematics; Graph; Binary logarithm; Discrete mathematics; Physics; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001841329,0.001412252,0.001542455,0.004852312,0.003002179,0.003695619,0.002751722,0.002487235,0.01402666],"category_scores_gemma":[0.01984588,0.0007197943,0.001048543,0.002835493,0.007332191,0.01597294,0.006849043,0.007492468,0.003069018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002119451,"about_ca_system_score_gemma":0.0006898537,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008776338,"about_ca_topic_score_gemma":0.0006251673,"domain_scores_codex":[0.9969656,0.0006956081,0.0001156557,0.0008543872,0.0008635849,0.0005051881],"domain_scores_gemma":[0.9845544,0.0109057,0.001025726,0.001442171,0.0008915159,0.001180585],"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":[0.00003451313,0.00001653193,0.0003546989,0.00008749215,0.000006101133,0.00004594189,0.0001808316,0.003442779,0.0007571215,0.9842423,0.003310165,0.007521525],"study_design_scores_gemma":[0.000008199095,0.0000210317,0.0003929168,0.00006296001,0.00001054548,0.0001500431,0.00008409905,0.009908085,0.0006035679,0.9747683,0.01396692,0.00002342274],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1520623,0.01184697,0.4952559,0.00798091,0.001590914,0.0001518936,0.001114448,0.0006509807,0.3293457],"genre_scores_gemma":[0.8377967,0.01084142,0.09486331,0.003248155,0.002979792,0.0006726041,0.001265028,0.00076601,0.04756701],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01402666,"threshold_uncertainty_score":0.04692388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03388610280836749,"score_gpt":0.3135568381593907,"score_spread":0.2796707353510233,"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."}}