{"id":"W4414698856","doi":"10.48550/arxiv.2507.09745","title":"\"The Edmonton Notes on Nilpotent Groups\" by Philip Hall","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Nilpotent; Numbering; Queen (butterfly); Series (stratigraphy); Algebra over a field","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005354149,0.0004117132,0.0004647418,0.00005716908,0.0003666119,0.0001275212,0.0009059181,0.000306652,0.00009199399],"category_scores_gemma":[0.0006714617,0.000294603,0.0002754384,0.0001136307,0.00008713986,0.00002148738,0.0006466631,0.0007274245,0.0002986543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001112661,"about_ca_system_score_gemma":0.00008421083,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007684407,"about_ca_topic_score_gemma":0.00007202665,"domain_scores_codex":[0.9980154,0.00006810094,0.0006224771,0.0005774514,0.000357707,0.0003588795],"domain_scores_gemma":[0.9958693,0.001695199,0.0003937082,0.001821451,0.0001215364,0.00009878735],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003053585,0.001494344,0.002623931,0.001640664,0.0005125942,0.000005731597,0.001061881,0.0000515982,0.001052269,0.3552596,0.6315606,0.004706162],"study_design_scores_gemma":[0.0005183022,0.00005923563,0.001430347,0.001067799,0.0003763033,0.000003075446,0.0001598857,0.001618555,0.00484493,0.7357768,0.25317,0.0009747592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.829026,0.001718453,0.01776534,0.03111773,0.001739613,0.004674918,0.0006303415,0.0008555477,0.1124721],"genre_scores_gemma":[0.9405753,0.001023221,0.00525168,0.0009688154,0.0006842485,0.001705888,0.0001867389,0.0001324646,0.04947167],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3805172,"threshold_uncertainty_score":0.9999506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09459455085524736,"score_gpt":0.3390403882845702,"score_spread":0.2444458374293228,"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."}}