{"id":"W2029916622","doi":"10.1007/s002080200321","title":"Higher relative class number formulae","year":2002,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Class (philosophy); Combinatorics; Pure mathematics; Epistemology","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":[0.001626215,0.0007534784,0.0008678371,0.002826441,0.002505714,0.004452193,0.001304213,0.001453971,0.01324837],"category_scores_gemma":[0.003001793,0.0004933936,0.0009248005,0.002528451,0.003486804,0.01140953,0.002617919,0.004944377,0.001750654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003076598,"about_ca_system_score_gemma":0.0005832902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006384501,"about_ca_topic_score_gemma":0.0007775816,"domain_scores_codex":[0.9988393,0.0002563344,0.00005566146,0.000241792,0.0004263154,0.0001806854],"domain_scores_gemma":[0.9987154,0.000563654,0.0001319877,0.0002242455,0.0001987177,0.0001659513],"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":[0.00000465247,0.000004057275,0.00002490871,0.000006050358,0.000001289447,0.000009076497,0.00004950788,0.00005846721,0.0001100586,0.9981565,0.000466057,0.001109402],"study_design_scores_gemma":[0.000005409425,0.000004349423,0.00009319061,0.000004645984,0.000005061863,0.00004902097,0.0000186276,0.0006015232,0.0002491043,0.9928155,0.006147869,0.00000566918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1725589,0.002642406,0.2541552,0.006593717,0.001646876,0.00007457416,0.0006729986,0.000769815,0.5608855],"genre_scores_gemma":[0.8603907,0.001162018,0.04243741,0.001064849,0.001280466,0.00009790078,0.0004571481,0.0003358682,0.09277358],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01324837,"threshold_uncertainty_score":0.04432029,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08246849276029067,"score_gpt":0.323990866409528,"score_spread":0.2415223736492373,"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."}}