{"id":"W2340886241","doi":"10.14288/1.0080585","title":"The group ring for S₃","year":2011,"lang":"en","type":"article","venue":"Open Collections","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Group (periodic table); Ring (chemistry); Chemistry","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.0002766725,0.00006686634,0.00009232966,0.00001737695,0.003274755,0.0004846837,0.000320174,0.00002918866,0.0001891965],"category_scores_gemma":[0.0001914616,0.00004841651,0.0000576113,0.0002052018,0.00003270352,0.0001199007,0.00009833121,0.00006293716,0.00001243255],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003000802,"about_ca_system_score_gemma":0.00003036078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008663275,"about_ca_topic_score_gemma":0.003521411,"domain_scores_codex":[0.9994896,0.00002045704,0.0001401331,0.000127353,0.00005607869,0.0001663653],"domain_scores_gemma":[0.9993333,0.0002854628,0.00005335223,0.000246342,0.00004600209,0.00003549948],"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":[0.00004607144,0.0001756895,0.00003337506,0.00001654202,0.00008011027,7.44293e-7,0.0009098295,4.463319e-7,0.00004671634,0.3564732,0.6403571,0.00186018],"study_design_scores_gemma":[0.0004708432,0.00007964716,0.0001306089,0.00001768719,0.00003549543,0.00000821627,0.0006014622,0.0001539828,0.0008785804,0.7616246,0.2358802,0.0001186183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.003678105,0.00003280996,0.01437872,0.0001446518,0.0006122455,0.001237669,0.00001094197,0.00007822183,0.9798266],"genre_scores_gemma":[0.06148629,0.00004569025,0.05455045,0.0001125241,0.0003078276,0.001359394,0.000002489613,0.00005882122,0.8820765],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.4051514,"threshold_uncertainty_score":0.9980229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09712690797766473,"score_gpt":0.3058872397811604,"score_spread":0.2087603318034957,"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."}}