{"id":"W4401998672","doi":"10.11648/j.pamj.20241304.12","title":"The Genesis of a Theorem in the Galois Theory of <i>p</i>-Extensions of ℚ with Restricted Tame Ramification","year":2024,"lang":"en","type":"article","venue":"Pure and Applied Mathematics Journal","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Ramification; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003360583,0.0007216728,0.000826842,0.0014713,0.002612352,0.003769229,0.001125773,0.001423361,0.005847443],"category_scores_gemma":[0.004075315,0.0004156536,0.001020014,0.0007007272,0.01343879,0.01077199,0.004861621,0.004760416,0.001207277],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001740256,"about_ca_system_score_gemma":0.0005119716,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003773392,"about_ca_topic_score_gemma":0.0002042993,"domain_scores_codex":[0.9982635,0.0005443899,0.00007604968,0.000503923,0.0003518518,0.0002601982],"domain_scores_gemma":[0.9984256,0.0008428567,0.00008933463,0.0003765852,0.0001392951,0.0001263202],"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":[0.000007265151,0.00000256281,0.00005250726,0.00001653707,0.000001663678,0.00003934551,0.0003489674,0.0001076776,0.0001271255,0.9974482,0.0004559226,0.001392137],"study_design_scores_gemma":[0.00001019629,0.00001765066,0.0000975377,0.00001791544,0.000002800135,0.0001489272,0.0001180425,0.0004947833,0.0005458725,0.9835973,0.0149387,0.00001008016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2150902,0.009216493,0.3350061,0.023782,0.003782132,0.00008901618,0.0004434074,0.001354356,0.4112361],"genre_scores_gemma":[0.912781,0.001983875,0.05441136,0.001615974,0.001628647,0.00007153841,0.0001593223,0.0003357416,0.02701246],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005847443,"threshold_uncertainty_score":0.01956171,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0357397462709014,"score_gpt":0.276605792220944,"score_spread":0.2408660459500426,"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."}}