{"id":"W2037517065","doi":"10.4153/cmb-2009-015-8","title":"The Erdős–Rado Arrow for Singular Cardinals","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Graph theory and applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Arrow; Combinatorics; Discrete mathematics; Computer science","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009287458,0.0001824239,0.0002602527,0.00006215551,0.0007070196,0.0001188487,0.0003977322,0.0001073631,0.0009378788],"category_scores_gemma":[0.001557407,0.0001332437,0.0002074689,0.0001431306,0.0001364878,0.000017047,0.00001082596,0.0001504673,0.001258121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007411004,"about_ca_system_score_gemma":0.00009925563,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003126892,"about_ca_topic_score_gemma":0.0001587934,"domain_scores_codex":[0.9986261,0.00006212919,0.0003519235,0.0002331972,0.000157288,0.0005693351],"domain_scores_gemma":[0.9973594,0.001417412,0.00007785585,0.0006107226,0.00009857448,0.0004360342],"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":[0.00000509405,0.00002764122,0.000001102143,0.00002535522,0.00001732882,0.000003061278,0.0001041645,4.722524e-7,0.0000678296,0.90937,0.08832353,0.002054434],"study_design_scores_gemma":[0.0001100742,0.00002792378,0.00001179397,0.00002807092,0.00003387945,0.00001268423,0.00009381192,0.00005123048,0.0001800259,0.6701313,0.3291992,0.0001200153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"commentary","genre_gemma":"empirical","genre_scores_codex":[0.1965086,0.001175654,0.09301895,0.3856423,0.000499178,0.008471522,0.000303976,0.0007973302,0.3135824],"genre_scores_gemma":[0.9611244,0.00001033758,0.02425646,0.002761785,0.0002555872,0.0003447422,0.00001225253,0.00005970769,0.01117474],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7646158,"threshold_uncertainty_score":0.9999754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02943090650513743,"score_gpt":0.2912048557937528,"score_spread":0.2617739492886154,"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."}}