{"id":"W2903632298","doi":"10.4153/s0008439518000619","title":"On a Theorem of Burgess and Stephenson","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Ideal (ethics); Sheaf; Discrete mathematics; Ring (chemistry); Pure mathematics; Algebra over a field; Epistemology; Philosophy","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004128163,0.000174396,0.0003393895,0.0001288868,0.00009600859,0.0000305416,0.0001782919,0.0001504218,0.008088328],"category_scores_gemma":[0.001141726,0.000144292,0.00006071894,0.00008635841,0.0003747927,0.00001602563,0.00003058628,0.0001724623,0.001626001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004853398,"about_ca_system_score_gemma":0.00006757209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002553854,"about_ca_topic_score_gemma":0.0004121585,"domain_scores_codex":[0.9988245,0.0000508039,0.0003190326,0.0002400822,0.0001968748,0.0003687526],"domain_scores_gemma":[0.9984035,0.0006250048,0.00008655178,0.0003895499,0.00008543584,0.0004099788],"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":[0.00001221694,0.00004786134,0.00002773427,0.0001733623,0.00002031522,0.00001087338,0.000596318,3.57757e-8,0.00006854991,0.975432,0.02260933,0.001001384],"study_design_scores_gemma":[0.0002774461,0.0001564949,0.0001265512,0.0002810767,0.00002815343,0.00002176007,0.000199566,0.0000695394,0.001435125,0.9855875,0.01161756,0.0001992164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9228793,0.00003319397,0.00085505,0.002026614,0.00006774969,0.0002591474,0.00001792472,0.00004141608,0.07381956],"genre_scores_gemma":[0.9929152,0.000003697085,0.00412954,0.0006338052,0.0001259858,0.00001140463,0.000001134286,0.00003846568,0.002140757],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07167879,"threshold_uncertainty_score":0.9991513,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0226277662261877,"score_gpt":0.2521097211035848,"score_spread":0.2294819548773971,"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."}}