{"id":"W2052180475","doi":"10.4153/cmb-2011-052-2","title":"Hausdorff Prime Matrices","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Hausdorff space; Prime (order theory); Multiplicative function; Combinatorics; Pure mathematics; Algebra over a field; Mathematical analysis","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":[0.0003762015,0.0002580979,0.0003613335,0.0001831577,0.0001425749,0.00003723143,0.0005045304,0.0001786145,0.06421693],"category_scores_gemma":[0.001316241,0.0002376474,0.0001125804,0.0001834147,0.0001622472,0.00004996452,0.00006817205,0.0002822717,0.02301169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001800925,"about_ca_system_score_gemma":0.0001449692,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003935703,"about_ca_topic_score_gemma":0.0006047948,"domain_scores_codex":[0.998206,0.00005714516,0.0004642458,0.0003362068,0.0002585304,0.0006778293],"domain_scores_gemma":[0.9979967,0.0003852615,0.0001158787,0.0006941865,0.00008072734,0.0007272506],"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":[0.000004499081,0.00006299158,0.00004481028,0.00009815737,0.00002616187,0.0001008543,0.0005802824,2.95817e-8,0.00001601813,0.9785935,0.01953783,0.0009348561],"study_design_scores_gemma":[0.0001856672,0.00003137447,0.00006568726,0.00007208472,0.00003440467,0.00005412945,0.0001356854,0.00001338057,0.0008701424,0.9392842,0.05895833,0.0002949165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1059148,0.0002435021,0.03569221,0.003258598,0.0003739072,0.001108015,0.00003732385,0.000544897,0.8528268],"genre_scores_gemma":[0.5575613,0.00001640373,0.4163676,0.001429057,0.0003053304,0.000126913,0.000006361948,0.0001820471,0.02400497],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.8288218,"threshold_uncertainty_score":0.977749,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06179743939347294,"score_gpt":0.2789830684306345,"score_spread":0.2171856290371616,"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."}}