{"id":"W2963928643","doi":"","title":"Discretization of the maximum for the derivatives of a random model of $\\log|\\zeta|$ on the critical line","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Combinatorics; Mathematics; Sequence (biology); Line (geometry); Critical line; Discretization; Physics; Mathematical analysis; Geometry; Condensed matter physics; Chemistry","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":[0.001582853,0.0006859612,0.0006666686,0.001355038,0.0008060914,0.001937546,0.001588233,0.001173099,0.004979963],"category_scores_gemma":[0.007741909,0.0003726777,0.0008271915,0.0004943473,0.002936682,0.00348058,0.001571708,0.002286457,0.000382266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002813692,"about_ca_system_score_gemma":0.0007657471,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003078342,"about_ca_topic_score_gemma":0.002374721,"domain_scores_codex":[0.9995947,0.0001675371,0.00001388098,0.00007290573,0.00007520214,0.00007586275],"domain_scores_gemma":[0.9980626,0.001077486,0.000228452,0.0001732912,0.000126302,0.0003319193],"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":[0.00006735498,0.00002083944,0.0007050429,0.00007752148,0.00001856018,0.0001464637,0.0001469463,0.03227645,0.001656707,0.9608278,0.001940402,0.002115902],"study_design_scores_gemma":[0.00002520113,0.00002825306,0.0007826954,0.00004969919,0.00001677945,0.0000942314,0.0000617677,0.5613116,0.0007580979,0.4345205,0.002315577,0.00003552671],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3801086,0.004698377,0.5406492,0.00639955,0.0004380451,0.00008193103,0.0005095868,0.0007253998,0.0663892],"genre_scores_gemma":[0.9550197,0.0007502109,0.02964624,0.0004172971,0.0002180756,0.0000952152,0.0001809083,0.0002796159,0.01339272],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004979963,"threshold_uncertainty_score":0.02041489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2149595979238838,"score_gpt":0.2867443332672099,"score_spread":0.07178473534332613,"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."}}