{"id":"W2000225844","doi":"10.1016/j.jnt.2013.06.009","title":"Probabilistic properties of number fields","year":2013,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Mathematics; Algebraic number field; Riemann hypothesis; Dedekind cut; Logarithm; Riemann zeta function; Probabilistic logic; Number theory; Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002165475,0.0001964369,0.000576777,0.00008273247,0.00005935697,0.0000476342,0.0005654707,0.0001411645,0.02747916],"category_scores_gemma":[0.003104929,0.0001317813,0.0002974535,0.0002038801,0.0003429647,0.0003478878,0.0001274065,0.0005245388,0.0006753488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007884022,"about_ca_system_score_gemma":0.0001798692,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001826054,"about_ca_topic_score_gemma":0.000003050171,"domain_scores_codex":[0.9973195,0.0005190548,0.0009721434,0.000142325,0.0007026972,0.0003442522],"domain_scores_gemma":[0.9964834,0.00132612,0.0006447798,0.0004398488,0.0009285643,0.0001772985],"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":[0.0009163987,0.001904943,0.007586165,0.00183549,0.001422293,0.0001145625,0.006600566,0.00002556573,0.004296839,0.7892765,0.1787538,0.007266869],"study_design_scores_gemma":[0.0005296877,0.0000884554,0.0002474267,0.0004180015,0.0001085111,0.000476555,0.001259068,0.00007327722,0.002554071,0.9931485,0.0009215897,0.000174827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9448033,0.00007936692,0.001571428,0.0004386041,0.0001998413,0.0003620209,0.000007130894,0.00002416007,0.05251412],"genre_scores_gemma":[0.9840935,0.00001345168,0.002779115,0.00008318294,0.000235576,0.0000155118,4.786327e-7,0.00004285704,0.01273632],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.203872,"threshold_uncertainty_score":0.9734098,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06104592504514198,"score_gpt":0.3267061412563445,"score_spread":0.2656602162112024,"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."}}