{"id":"W3203442158","doi":"","title":"Applications of Number Theory in Statistics","year":2021,"lang":"en","type":"article","venue":"Journal of Emerging Technologies and Innovative Research","topic":"Benford’s Law and Fraud Detection","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Diophantine equation; Fibonacci number; Logarithm; Mathematics; Prime number; Prime (order theory); Diophantine set; Discrete logarithm; Number theory; Analytic number theory; Applied mathematics; Algebra over a field; Discrete mathematics; Computer science; Pure mathematics; Combinatorics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001814271,0.00006052701,0.0002124796,0.0004051058,0.00007076457,0.00001658733,0.0001582653,0.00009828257,0.0001456474],"category_scores_gemma":[0.003511096,0.00004877731,0.0000209202,0.002153024,0.0002893191,0.00009283714,0.000170514,0.0006804396,0.000001406181],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000465309,"about_ca_system_score_gemma":0.0001172883,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000507571,"about_ca_topic_score_gemma":0.00001130262,"domain_scores_codex":[0.9988654,0.0001031577,0.0004700492,0.00008856849,0.0003044828,0.0001682948],"domain_scores_gemma":[0.9966739,0.0009812647,0.0002370495,0.0001668214,0.00192827,0.00001272851],"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":[0.00002778427,0.00009814405,0.001580699,0.00009425657,0.00003722716,0.00001663914,0.0001767694,4.620818e-7,0.002243819,0.8048279,0.005156367,0.1857399],"study_design_scores_gemma":[0.0002404917,0.0000855956,0.000519274,0.0001182736,0.000003627796,0.00004447323,0.01274978,0.00003147055,0.01590425,0.9561075,0.01413871,0.00005657298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5556216,0.002078223,0.4219292,0.003141353,0.0001675019,0.0005918615,0.0001787613,0.0001188382,0.01617262],"genre_scores_gemma":[0.9253307,0.0008722414,0.07341877,0.000006628802,0.00002739833,0.00001842604,0.000002249419,0.00001168738,0.0003118747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3697091,"threshold_uncertainty_score":0.4203364,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1123153752537172,"score_gpt":0.4542531945713473,"score_spread":0.3419378193176301,"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."}}