{"id":"W2963719739","doi":"10.1016/j.jnt.2008.09.008","title":"On Bost–Connes type systems for number fields","year":2008,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Mathematics; Ramachandran plot; Algebraic number field; Interpretation (philosophy); Type (biology); Pure mathematics; Physics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008959284,0.0001405744,0.0004136821,0.000037097,0.0000873704,0.00002624402,0.0001968079,0.000129572,0.002707944],"category_scores_gemma":[0.001879152,0.0000982109,0.0002190967,0.00007133182,0.00005099787,0.00008995619,0.00002092932,0.0002226181,0.0002109012],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003092124,"about_ca_system_score_gemma":0.00004526208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001059678,"about_ca_topic_score_gemma":4.130557e-7,"domain_scores_codex":[0.9987834,0.00009525998,0.0005668514,0.00009242086,0.0002704393,0.0001916169],"domain_scores_gemma":[0.9953315,0.003637134,0.0004253532,0.0002151416,0.000285859,0.0001050482],"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":[0.0002080197,0.0002395655,0.00009738384,0.0001635372,0.000119115,0.0000489684,0.0003282751,0.00001172013,0.00001502528,0.8764978,0.1220978,0.0001727611],"study_design_scores_gemma":[0.0004999831,0.0001613916,0.00003047353,0.0002272899,0.00005672371,0.0009598542,0.0001540775,0.0006379652,0.00003038853,0.9858171,0.01128273,0.0001420806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7533554,0.0001940869,0.09725338,0.0004291509,0.002312489,0.0005792048,0.00008546122,0.00005540728,0.1457354],"genre_scores_gemma":[0.9810653,0.00007064137,0.005514674,0.0002501101,0.0005299717,0.000008591565,0.000002556468,0.00004553777,0.01251266],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2277098,"threshold_uncertainty_score":0.9982037,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05556475171008017,"score_gpt":0.3347152869039288,"score_spread":0.2791505351938486,"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."}}