{"id":"W4405427696","doi":"10.48550/arxiv.2412.11588","title":"Une supercongruence de Wilson exacte pour les premiers d'Artin-Schreier de F_p[t] (An exact Wilson supercongruence for Artin-Schreier primes in F_p[t])","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Canarie","funders":"","keywords":"Mathematics; Arithmetic; Pure mathematics; Algebra over a field; Computer science","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":[0.0006877673,0.0004903505,0.0003543171,0.001043512,0.001930945,0.001833646,0.0003707872,0.0005244746,0.008759503],"category_scores_gemma":[0.002228082,0.0002862672,0.0007354726,0.0006821147,0.003124594,0.003606585,0.001190029,0.002388555,0.001063496],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00107306,"about_ca_system_score_gemma":0.0004740768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002103469,"about_ca_topic_score_gemma":0.002383443,"domain_scores_codex":[0.9993017,0.00009795649,0.00002911993,0.0001890314,0.0002282038,0.0001539754],"domain_scores_gemma":[0.9993554,0.0002416136,0.00005851857,0.00007429213,0.0001680226,0.0001022459],"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":[0.00005816696,0.00001613908,0.0008084658,0.00004357635,0.000008033907,0.0003249932,0.001190517,0.0003402578,0.002495635,0.9804568,0.001352712,0.0129047],"study_design_scores_gemma":[0.0000257439,0.0001013297,0.001986941,0.00004928903,0.00002578681,0.001498677,0.0007361287,0.003094441,0.006119967,0.9506186,0.03569803,0.00004502677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4865949,0.001922287,0.2081741,0.002300493,0.00102508,0.00005527852,0.0002623658,0.0005131255,0.2991523],"genre_scores_gemma":[0.9384139,0.000503592,0.01839127,0.0003664607,0.0003605619,0.00003432867,0.0001076334,0.0001392664,0.04168308],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008759503,"threshold_uncertainty_score":0.02930343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08826050079788289,"score_gpt":0.250786327960173,"score_spread":0.1625258271622901,"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."}}