{"id":"W2952998183","doi":"10.48550/arxiv.math/0109100","title":"Bounded rank of C*-algebras","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Nipissing University; University of Saskatchewan","funders":"","keywords":"Bounded function; Rank (graph theory); Mathematics; Algebra over a field; Pure mathematics; Combinatorics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000662099,0.0004821581,0.0009533226,0.0002424414,0.0001127037,0.00004890257,0.0010617,0.0005356253,0.001084122],"category_scores_gemma":[0.001519731,0.0004603918,0.0003276178,0.000343457,0.0002848374,0.0001270014,0.001432063,0.001424704,0.0003571311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000210588,"about_ca_system_score_gemma":0.0003922204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006690275,"about_ca_topic_score_gemma":0.00005797477,"domain_scores_codex":[0.9967491,0.0002024085,0.0008558385,0.0007543109,0.0007846471,0.0006537031],"domain_scores_gemma":[0.9965487,0.0005379313,0.0004067504,0.001879981,0.0004256532,0.0002009672],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007227283,0.003124679,0.7245942,0.009425018,0.002566476,0.0008058297,0.005857643,0.0003223609,0.02425846,0.2027494,0.01839809,0.007175153],"study_design_scores_gemma":[0.002330852,0.0002059182,0.02773093,0.000970936,0.000248366,0.00003813726,0.0004347085,0.0002273847,0.04856101,0.9129425,0.004822903,0.001486393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9871224,0.0004011794,0.003380835,0.0003079531,0.0004462133,0.000889468,0.00003744437,0.0002036233,0.007210906],"genre_scores_gemma":[0.9830877,0.0003178144,0.01178001,0.00008757176,0.0003412069,0.000128178,0.0000365041,0.0001625615,0.004058459],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7101931,"threshold_uncertainty_score":0.999829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1445221557997297,"score_gpt":0.3936231631614964,"score_spread":0.2491010073617667,"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."}}