{"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":"codex-gemma-dda1882f352a","candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.003081474,0.0003459521,0.000650847,0.0001519341,0.000195935,0.00005980795,0.001531186,0.0003047489,0.00002872246],"category_scores_gemma":[0.0009427679,0.0002085685,0.0004157413,0.0001869516,0.0001205195,0.00005147843,0.0004616497,0.003809912,0.000004881871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007960234,"about_ca_system_score_gemma":0.0009580266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003362742,"about_ca_topic_score_gemma":0.000001977902,"domain_scores_codex":[0.9972087,0.0003822187,0.0007012388,0.0001757159,0.0009257835,0.0006063667],"domain_scores_gemma":[0.9963324,0.0009737246,0.001199406,0.0008270926,0.0005387598,0.0001286324],"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":[0.0001282562,0.0001187139,0.00001598775,0.00004675403,0.000330065,0.00001405301,0.001164347,0.000116808,0.000001996169,0.9823105,0.01556622,0.0001862425],"study_design_scores_gemma":[0.0006804303,0.0004758226,0.00001015412,0.0001151938,0.0002308236,0.0001769105,0.0001339919,0.0000289295,0.00012436,0.9947124,0.003088419,0.0002226358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9632647,0.004334556,0.002416177,0.0008418179,0.006184029,0.0003820052,0.000005839421,0.0000529313,0.02251791],"genre_scores_gemma":[0.9980663,0.0004858671,0.00003751339,0.0001248711,0.0003263164,0.00000321427,0.0000011041,0.00006081382,0.0008940149],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03480155,"threshold_uncertainty_score":0.9984884,"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."}}