{"id":"W2050646206","doi":"10.1090/s0002-9939-2013-11672-2","title":"Simple archimedean dimension groups","year":2013,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Simple (philosophy); Dimension (graph theory); Mathematics; Pure mathematics; Epistemology; Philosophy","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":[],"consensus_categories":[],"category_scores_codex":[0.0004972026,0.0002705855,0.0006090818,0.00002397154,0.0001724998,0.00003737667,0.0006718681,0.00005204767,0.000182473],"category_scores_gemma":[0.001007908,0.0001696429,0.0004740658,0.000474955,0.001094724,0.0002302732,0.0004959583,0.0003195271,0.00007302719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008164137,"about_ca_system_score_gemma":0.00001624315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001633816,"about_ca_topic_score_gemma":3.238135e-7,"domain_scores_codex":[0.998155,0.00001780183,0.0004811799,0.0003007479,0.0005602898,0.0004849691],"domain_scores_gemma":[0.9979155,0.0006655712,0.0007178983,0.0003268001,0.0002287399,0.0001455104],"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":[0.0000278568,0.0005882094,0.002340776,0.0009264048,0.0002220968,1.627679e-7,0.005068175,0.000002362575,0.138022,0.8101746,0.04022738,0.002399948],"study_design_scores_gemma":[0.0001793888,0.00007818275,0.001213618,0.00008812794,0.00006397669,0.000008056581,0.004473143,0.001154798,0.01242283,0.980028,0.00007767757,0.0002121758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9895451,0.00000998419,0.002649586,0.00116694,0.00002202429,0.0006821922,0.000003048867,0.0001729373,0.005748154],"genre_scores_gemma":[0.8925525,0.000008576485,0.1063909,0.0003925264,0.00006453424,0.00007364521,3.792304e-7,0.00006215817,0.000454793],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1698534,"threshold_uncertainty_score":0.6917837,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01587215830521538,"score_gpt":0.2821565815815072,"score_spread":0.2662844232762919,"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."}}