{"id":"W4414908835","doi":"10.1017/jsl.2025.10156","title":"DOMINATION, FIBRATIONS, AND SPLITTING","year":2025,"lang":"en","type":"article","venue":"Journal of Symbolic Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Equivalence (formal languages); Rank (graph theory); Product (mathematics); Stability (learning theory); Algebra over a field; Type (biology)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001096207,0.0002458064,0.0003270513,0.001417023,0.001110472,0.002155158,0.0003785282,0.0004459562,0.00399359],"category_scores_gemma":[0.001951062,0.0001656972,0.0004114557,0.0006035014,0.004214003,0.00349557,0.002148913,0.000803064,0.0002831241],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001191746,"about_ca_system_score_gemma":0.0003417676,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001157516,"about_ca_topic_score_gemma":0.001313981,"domain_scores_codex":[0.9991743,0.0002247732,0.00004988803,0.0001663757,0.000252795,0.0001319003],"domain_scores_gemma":[0.9984767,0.000516873,0.0002149305,0.0001832564,0.0003700843,0.0002381236],"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":[0.0000197258,0.000008144695,0.0007765067,0.00001811525,0.000006961029,0.00008654333,0.00056208,0.0006079812,0.001486022,0.9923901,0.0002679386,0.003769722],"study_design_scores_gemma":[0.000005667496,0.00002002102,0.0006625925,0.00001806838,0.00001022015,0.0002089394,0.0003788287,0.004689801,0.001408345,0.9887341,0.003854949,0.000008484487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7156018,0.001874069,0.1788864,0.001785925,0.0001175061,0.00003183316,0.0001531037,0.0002229438,0.1013264],"genre_scores_gemma":[0.9897141,0.0001644908,0.005167599,0.00006519786,0.00004984236,0.000009329792,0.00003892937,0.00002162834,0.004768945],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00399359,"threshold_uncertainty_score":0.0133599,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02162571270273723,"score_gpt":0.3598340011745508,"score_spread":0.3382082884718136,"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."}}