{"id":"W1541343583","doi":"10.1090/s0002-9939-2010-10560-9","title":"The class number of $\\mathbb{Q}(\\sqrt{-p})$ and digits of $1/p$","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Class (philosophy); Combinatorics; Mathematics; Discrete mathematics; Computer science; Artificial intelligence","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":[0.0007747569,0.0008406331,0.0008676812,0.002783462,0.003257179,0.004354753,0.001397478,0.001122975,0.01685449],"category_scores_gemma":[0.003187884,0.0003903866,0.0007132758,0.001411337,0.004858837,0.003363595,0.001610129,0.003257124,0.003155008],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002953587,"about_ca_system_score_gemma":0.001105093,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002274819,"about_ca_topic_score_gemma":0.001691144,"domain_scores_codex":[0.9992399,0.00008813408,0.00001999648,0.0001957581,0.0001858324,0.0002703214],"domain_scores_gemma":[0.9987893,0.000453562,0.0001799486,0.0001011666,0.0001626863,0.0003134423],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001249313,0.0000339269,0.0008597051,0.00004908736,0.000009969659,0.0001169454,0.0002858159,0.0007991991,0.001729391,0.9777404,0.003962215,0.01428851],"study_design_scores_gemma":[0.00004532023,0.00008492505,0.00313926,0.0001324801,0.00003092128,0.0005626291,0.0002468154,0.01497693,0.007537383,0.9434062,0.02973566,0.0001014264],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6118823,0.001664721,0.05638031,0.004702106,0.001790943,0.0000814434,0.0008854106,0.0006796562,0.3219332],"genre_scores_gemma":[0.9394239,0.0007935687,0.008060622,0.0004424139,0.0007673537,0.0001153463,0.0004302688,0.0004060114,0.04956055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01685449,"threshold_uncertainty_score":0.05638391,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005581346167859151,"score_gpt":0.2348720615178775,"score_spread":0.2292907153500184,"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."}}