{"id":"W4320916251","doi":"10.1112/jlms.12720","title":"Heuristics for the asymptotics of the number of Sn$S_n$‐number fields","year":2023,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Heuristics; Discriminant; Mathematics; Heuristic; Bounded function; Algebraic number field; Argument (complex analysis); Field (mathematics); Ring (chemistry); Index (typography); Elementary proof; Discrete mathematics; Combinatorics; Pure mathematics; Computer science; Mathematical optimization; Mathematical analysis; Artificial intelligence","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":[],"consensus_categories":[],"category_scores_codex":[0.002940716,0.0002082056,0.0006062074,0.00001500155,0.0002515099,0.00002460433,0.001209484,0.0002209284,0.0003571413],"category_scores_gemma":[0.00380371,0.00009169693,0.001602502,0.0005837905,0.0004514481,0.00006656301,0.0003648549,0.0006001941,0.0000247271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004299066,"about_ca_system_score_gemma":0.0000982359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001375945,"about_ca_topic_score_gemma":5.547622e-7,"domain_scores_codex":[0.9973873,0.0001859243,0.001143904,0.0001141738,0.0008494355,0.0003192411],"domain_scores_gemma":[0.9899316,0.007665131,0.001215725,0.0007343232,0.0003834946,0.00006973442],"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":[0.000158356,0.0008512871,0.005052444,0.002991935,0.001770099,0.00000274127,0.008259677,0.0002766868,0.0005055523,0.7892484,0.1902006,0.0006821707],"study_design_scores_gemma":[0.0006937734,0.00003888358,0.0008330505,0.0003172714,0.0005569514,0.0001084067,0.001452859,0.001727699,0.004004505,0.9889337,0.001209629,0.0001232631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9194355,0.0001089301,0.06416601,0.01006212,0.001616445,0.001009997,0.00006547407,0.00004287177,0.003492657],"genre_scores_gemma":[0.9816963,0.00007705471,0.0129513,0.0003891042,0.0003583317,0.00001009845,5.298857e-7,0.00005100996,0.004466236],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1996853,"threshold_uncertainty_score":0.4553671,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03440934131334548,"score_gpt":0.3222005368348159,"score_spread":0.2877911955214704,"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."}}