{"id":"W3205562261","doi":"10.4064/aa220315-13-8","title":"Statistics for $p$-ranks of Artin–Schreier covers","year":2022,"lang":"en","type":"preprint","venue":"Acta Arithmetica","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Infinity; Isomorphism (crystallography); Finite field; Combinatorics; Prime (order theory); Limit (mathematics); Genus; Algebraic number field; Distribution (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","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":[0.002476461,0.0008260616,0.001232908,0.005650336,0.001701359,0.004529876,0.001562492,0.001543463,0.006327342],"category_scores_gemma":[0.01582845,0.0006479331,0.0006569464,0.002185825,0.004866415,0.006625616,0.002459924,0.002111262,0.0007541939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001884432,"about_ca_system_score_gemma":0.0005420227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008018822,"about_ca_topic_score_gemma":0.0005682503,"domain_scores_codex":[0.9986299,0.0003176264,0.00006669364,0.0003080631,0.0003835722,0.0002942319],"domain_scores_gemma":[0.9896144,0.005858542,0.001834829,0.0006486617,0.0006431476,0.001400361],"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":[0.0001831792,0.00004450092,0.00665027,0.0001345823,0.00003142222,0.0002348453,0.0003652413,0.009935643,0.003069892,0.9668422,0.003325595,0.009182577],"study_design_scores_gemma":[0.00004584193,0.0001030616,0.01031762,0.00008197201,0.0000322118,0.0007038382,0.0002622301,0.0671308,0.00303112,0.9150485,0.003131773,0.0001109926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9148413,0.001889499,0.05326966,0.00269538,0.0001594667,0.00003470938,0.0009504785,0.0005260557,0.02563342],"genre_scores_gemma":[0.9915954,0.0007385208,0.002944531,0.0001155741,0.0004973388,0.00005689855,0.0006393337,0.0001048233,0.003307539],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006327342,"threshold_uncertainty_score":0.02116704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02093343629517071,"score_gpt":0.2740805180978867,"score_spread":0.2531470818027161,"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."}}