{"id":"W1586455572","doi":"10.48550/arxiv.0809.0095","title":"Dualizing complex of a toric face ring","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Face (sociological concept); Ring (chemistry); Geology; Philosophy; Linguistics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001551886,0.0002503826,0.0005004159,0.000101183,0.0001316779,0.00001383088,0.0004645734,0.000148173,0.000114844],"category_scores_gemma":[0.0002146711,0.0002521293,0.0001786074,0.0001806872,0.00009278785,0.00004447852,0.0008303885,0.0004476563,0.00007741705],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007665722,"about_ca_system_score_gemma":0.00007310665,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009455121,"about_ca_topic_score_gemma":0.00001722715,"domain_scores_codex":[0.9986219,0.00007368989,0.000524856,0.0003413385,0.0002190106,0.0002192489],"domain_scores_gemma":[0.9980058,0.0004257555,0.0004349578,0.0009143453,0.0001537639,0.00006536064],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00008220556,0.002718613,0.4012601,0.006133916,0.002263047,0.00008904029,0.06860735,0.0007461334,0.05738347,0.4040454,0.04862246,0.008048263],"study_design_scores_gemma":[0.001820047,0.0001683588,0.5646309,0.001450707,0.0006417245,0.00008498972,0.002940272,0.00367672,0.02488952,0.3711371,0.02605203,0.002507633],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9778334,0.000244422,0.01090202,0.0002584288,0.0001185325,0.0004521547,0.00003759783,0.0001282556,0.01002513],"genre_scores_gemma":[0.9931153,0.0001968068,0.00587318,0.00004409119,0.0001147539,0.0000840858,0.00003352188,0.00004709668,0.0004911296],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1633708,"threshold_uncertainty_score":0.9999931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2693316532124501,"score_gpt":0.3855776019099811,"score_spread":0.116245948697531,"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."}}