{"id":"W1998280208","doi":"10.4153/cmb-2002-009-8","title":"On Cyclic Fields of Odd Prime Degree <i>p</i> with Infinite Hilbert <i>p</i>-Class Field Towers","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Degree (music); Prime (order theory); Tower; Field (mathematics); Class (philosophy); Discrete mathematics; Combinatorics; Pure 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":[0.0009901801,0.0003132083,0.0004183197,0.001898685,0.00160629,0.001456026,0.0004449234,0.0003616261,0.004126223],"category_scores_gemma":[0.003037454,0.000316981,0.0003782807,0.001266361,0.002820967,0.002962271,0.002019199,0.0006595816,0.0004266294],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001449628,"about_ca_system_score_gemma":0.000568171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009817863,"about_ca_topic_score_gemma":0.001143273,"domain_scores_codex":[0.9995676,0.00006966987,0.00001902249,0.00004752114,0.0001024826,0.0001937475],"domain_scores_gemma":[0.9968041,0.001385055,0.0006423828,0.0002728068,0.00023793,0.000657757],"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":[0.0004631579,0.00006529067,0.01866237,0.0001948368,0.00002233567,0.001964409,0.002202834,0.004917374,0.00897124,0.9298865,0.004309342,0.0283403],"study_design_scores_gemma":[0.000119219,0.0002584337,0.02154703,0.0001542882,0.00005869539,0.003670939,0.001233992,0.01645451,0.01289658,0.9173536,0.02615106,0.0001017486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.962688,0.0006404202,0.009511651,0.0004404392,0.00006014335,0.00001829492,0.0001678792,0.00006920133,0.02640389],"genre_scores_gemma":[0.9960574,0.000309343,0.001336631,0.00003264836,0.00007832306,0.00001269794,0.0001234858,0.000009574389,0.002039775],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004126223,"threshold_uncertainty_score":0.0138036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02810818223861086,"score_gpt":0.2298216438486057,"score_spread":0.2017134616099948,"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."}}