{"id":"W4402633211","doi":"10.1080/00150517.2003.12428555","title":"On the Number of Niven Numbers up to <i>x</i>","year":2003,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics","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":["insufficient_payload"],"category_scores_codex":[0.001765576,0.0002536293,0.0003429458,0.00005736299,0.0002174578,0.00005820061,0.0008220672,0.00008992175,0.002409123],"category_scores_gemma":[0.000248166,0.0001476888,0.0002212696,0.0004878901,0.0001828768,0.00006850288,0.00003812691,0.0003682695,0.002519502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007430725,"about_ca_system_score_gemma":0.00009274788,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008782775,"about_ca_topic_score_gemma":0.0001286795,"domain_scores_codex":[0.9972991,0.0006348787,0.000452215,0.0003273649,0.0007555563,0.0005308207],"domain_scores_gemma":[0.9954966,0.002732886,0.0001568556,0.001299875,0.0001599131,0.0001539154],"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":[0.0001025949,0.0001323515,0.0005301804,0.00002966759,0.0001294875,0.000007859056,0.006306936,0.000002325972,0.000251443,0.9252582,0.06612869,0.001120334],"study_design_scores_gemma":[0.0006220934,0.0003184776,0.0001470391,0.00006801337,0.00006850784,0.00005543515,0.008267214,0.00005965542,0.0007185116,0.9699145,0.01945453,0.0003060418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7746407,0.00001208012,0.003161648,0.001947311,0.0003053364,0.0009345047,0.00002045864,0.00007986105,0.218898],"genre_scores_gemma":[0.9738313,8.303942e-7,0.0004549502,0.0006906682,0.00006021997,0.00006146087,0.00000117084,0.00005966266,0.02483975],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1991905,"threshold_uncertainty_score":0.9985028,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03777930500956037,"score_gpt":0.3327887643440682,"score_spread":0.2950094593345078,"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."}}