{"id":"W2583321877","doi":"10.1142/s1793042117500956","title":"Patterns of primes in Chebotarev sets","year":2017,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Generalization; Prime (order theory); Set (abstract data type); Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002455435,0.0001174298,0.0003262731,0.000167645,0.00004133698,0.00007490245,0.001724845,0.00006574941,0.004777279],"category_scores_gemma":[0.002982843,0.00009740852,0.0001944545,0.00002829637,0.0001152485,0.0003265211,0.0002658528,0.0003234276,0.0000448769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001209048,"about_ca_system_score_gemma":0.0001352118,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000342278,"about_ca_topic_score_gemma":0.00002978976,"domain_scores_codex":[0.9980147,0.0001759409,0.000678113,0.0001109104,0.0008488552,0.0001714136],"domain_scores_gemma":[0.9968268,0.00108926,0.001015005,0.0003898826,0.0006031825,0.00007591287],"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":[0.00105141,0.0007979771,0.4776798,0.00009760673,0.001035984,0.0008414682,0.001962036,0.000006831583,0.001005173,0.4945645,0.005603106,0.01535411],"study_design_scores_gemma":[0.001289101,0.00003841677,0.04209431,0.0005906473,0.0000310763,0.0003544966,0.0004920104,0.00003117146,0.003331336,0.9505392,0.001082942,0.0001252975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9773272,0.00002696568,0.001343162,0.0006535228,0.0004661837,0.00007742527,0.00006454122,0.000005670617,0.02003536],"genre_scores_gemma":[0.9960709,0.00002884815,0.001522973,0.00005284411,0.0002125939,0.000002040722,0.000002039152,0.00002153834,0.002086236],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4559747,"threshold_uncertainty_score":0.9961325,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06085070040741185,"score_gpt":0.4148828366032325,"score_spread":0.3540321361958206,"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."}}