{"id":"W7117415493","doi":"10.61091/um125-08","title":"Graph identification index","year":2025,"lang":"","type":"article","venue":"Utilitas Mathematica","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Vertex (graph theory); Multipartite; Graph; Upper and lower bounds; Simple graph; String (physics)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002085248,0.0006238841,0.0008491946,0.0007152692,0.0007852545,0.0002896762,0.001126583,0.000443209,0.002606745],"category_scores_gemma":[0.001387318,0.0006330934,0.0005781868,0.002132276,0.0006747429,0.000278866,0.0003010628,0.0005533335,0.001552668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009726494,"about_ca_system_score_gemma":0.0001728534,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007128978,"about_ca_topic_score_gemma":0.000006609985,"domain_scores_codex":[0.9954823,0.0003252139,0.001998306,0.0009156711,0.0005334062,0.0007450993],"domain_scores_gemma":[0.9942368,0.001880579,0.0005894648,0.002744887,0.0003435933,0.000204666],"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":[0.00003568613,0.001408874,0.0001031302,0.002218967,0.0003788692,0.000002093254,0.001497894,0.000002840981,0.0007541723,0.9736199,0.01611394,0.003863645],"study_design_scores_gemma":[0.0005628328,0.00002898257,0.0008635101,0.0008078899,0.0006799201,0.000008163362,0.002109553,0.002744276,0.002460762,0.9807895,0.008485753,0.00045888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1356562,0.003254624,0.4391257,0.007325244,0.001662287,0.006102977,0.000336226,0.001044619,0.4054922],"genre_scores_gemma":[0.9748262,0.0001224871,0.004687479,0.0002433396,0.00006351143,0.0005330972,0.00002476722,0.00006553876,0.01943362],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.83917,"threshold_uncertainty_score":0.999612,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.022351429636657,"score_gpt":0.3182714606993722,"score_spread":0.2959200310627152,"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."}}