{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006630752,0.000227761,0.0003806074,0.0002205,0.0001502295,0.0001148857,0.001675421,0.0001329054,0.0002903996],"category_scores_gemma":[0.0002511281,0.0002445396,0.0002486267,0.0002656925,0.0001314687,0.00008128592,0.001926707,0.0004862561,0.000003654226],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003352988,"about_ca_system_score_gemma":0.0001983836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001187478,"about_ca_topic_score_gemma":0.000001889473,"domain_scores_codex":[0.9982295,0.0001255082,0.0003966902,0.0005651439,0.0003744818,0.0003086959],"domain_scores_gemma":[0.9974138,0.0008855315,0.0002987384,0.001165779,0.0001454486,0.00009070549],"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":[0.00006278143,0.0002251579,0.0001242877,0.000232957,0.0001828701,0.000009158746,0.0006741379,0.000398564,0.0003180137,0.969405,0.01004441,0.01832268],"study_design_scores_gemma":[0.000654361,0.0005765939,0.0005454764,0.00007507239,0.0001685599,0.000006633472,0.00006272508,0.02949685,0.001485746,0.8003302,0.1659239,0.0006738664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004153238,0.0001138511,0.9883844,0.0006064791,0.00133909,0.0004946218,0.0006903,0.0001181591,0.004099914],"genre_scores_gemma":[0.5275023,0.00005608223,0.4715701,0.0002212992,0.00007665399,0.0001854717,0.00008585841,0.00002822803,0.00027397],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.523349,"threshold_uncertainty_score":0.9972034,"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."}}