{"id":"W4386562920","doi":"10.1017/nmj.2023.18","title":"ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS","year":2023,"lang":"en","type":"article","venue":"Nagoya Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; University of Ottawa; Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Abelian group; Iwasawa theory; Prime (order theory); Context (archaeology); Tower; Combinatorics; Prime number; Distribution (mathematics); Discrete mathematics; Mathematical analysis; Geography","routes":{"ca_aff":true,"ca_fund":true,"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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003258492,0.0002409976,0.0005482835,0.0001658578,0.0002477281,0.0001121647,0.0005313053,0.0001621001,0.0007686197],"category_scores_gemma":[0.01902719,0.0001421926,0.0003025722,0.0009287567,0.00009694474,0.0000761714,0.0001317456,0.0005324474,0.0006055138],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007538887,"about_ca_system_score_gemma":0.00004420519,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001192695,"about_ca_topic_score_gemma":0.000001620714,"domain_scores_codex":[0.9971262,0.0002165142,0.0009740518,0.0001980463,0.0009829674,0.0005022267],"domain_scores_gemma":[0.9933006,0.005325378,0.0003946917,0.000449208,0.0002520707,0.0002780337],"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":[0.00002577943,0.0004918,0.00002603379,0.0001020005,0.0001188382,0.00002494334,0.0004985434,0.00002624669,0.0004019934,0.9688879,0.02887016,0.0005257938],"study_design_scores_gemma":[0.0003544366,0.0001498071,0.0006074576,0.0004826927,0.00005533887,0.00003384081,0.0002208471,0.01909266,0.0002574945,0.9784696,0.0001054123,0.0001704831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8967867,0.000005588088,0.08885199,0.004508762,0.0002132908,0.0007314406,0.0001272382,0.0001614304,0.008613548],"genre_scores_gemma":[0.9966866,0.00000991171,0.002243843,0.000220219,0.00006323138,0.0000307951,0.00001109029,0.00004258008,0.0006917226],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09989989,"threshold_uncertainty_score":0.9892359,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06266342295183341,"score_gpt":0.3313209123117836,"score_spread":0.2686574893599502,"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."}}