{"id":"W4408611023","doi":"10.61091/jcmcc124-40","title":"The p-smooth and p-golden partial fields","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005592371,0.0006274775,0.0003679682,0.001570178,0.0009520974,0.001618547,0.0004666965,0.0004206071,0.007597524],"category_scores_gemma":[0.00168095,0.0002428582,0.0004904526,0.0008028272,0.002373291,0.002976631,0.001652711,0.001240795,0.001183903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008479656,"about_ca_system_score_gemma":0.0009290547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001058529,"about_ca_topic_score_gemma":0.0009099447,"domain_scores_codex":[0.9997279,0.00004542741,0.000008614835,0.00004545203,0.00007661714,0.00009599372],"domain_scores_gemma":[0.9997072,0.0000715905,0.00004348685,0.00004800395,0.00005726759,0.00007244868],"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":[0.00003383243,0.00001138977,0.0004662709,0.00002387197,0.000003330916,0.00004838869,0.00007859258,0.001188889,0.0006507679,0.988602,0.001061703,0.00783082],"study_design_scores_gemma":[0.00001931912,0.00003836782,0.001240988,0.00003264369,0.0000100011,0.000170453,0.0001593068,0.01012328,0.002376769,0.9741742,0.01162879,0.00002599575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6669868,0.00161028,0.06615117,0.001193787,0.0003219318,0.00006495445,0.0004538728,0.0002959613,0.2629211],"genre_scores_gemma":[0.9525174,0.001011682,0.01909938,0.000199429,0.0002490941,0.00007295503,0.000310894,0.0001111134,0.02642807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007597524,"threshold_uncertainty_score":0.02541631,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01799940544859692,"score_gpt":0.3032959360913182,"score_spread":0.2852965306427213,"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."}}