{"id":"W4406987509","doi":"10.2139/ssrn.5117928","title":"Classification of Perfect Unitary Cayley Graphs","year":2025,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Unitary state; Cayley graph; Mathematics; Combinatorics; Political science; Graph; Law","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","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.002775688,0.0002804233,0.0003918021,0.0006890558,0.0001996017,0.0001022573,0.001722856,0.0002761004,0.000004113714],"category_scores_gemma":[0.00007442972,0.0002541984,0.0003384101,0.0006003415,0.00007678029,0.0001595238,0.0005706861,0.00408526,0.000007060174],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00037611,"about_ca_system_score_gemma":0.006364272,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002139586,"about_ca_topic_score_gemma":0.0001649656,"domain_scores_codex":[0.9966754,0.0002806288,0.0006343472,0.0005159899,0.0004615076,0.001432129],"domain_scores_gemma":[0.9979053,0.00009060068,0.0005625306,0.0009143652,0.0004344115,0.00009284167],"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":[0.00001054458,0.0000827771,0.000744437,0.00005409528,0.000207032,0.000001823705,0.0001731462,0.0007204507,0.0005987859,0.980175,0.0002407309,0.01699124],"study_design_scores_gemma":[0.00030056,0.000158329,0.0006316082,0.0002125844,0.00005995992,0.00008955737,0.0001252499,0.006842508,0.0002507545,0.9909387,0.0001564191,0.0002338236],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5058231,0.0463178,0.4273418,0.006269385,0.005179168,0.000857194,0.00002783697,0.0005141168,0.00766954],"genre_scores_gemma":[0.989218,0.006772221,0.002939197,0.00009388259,0.00002326051,0.0000109507,0.00001325213,0.00001237623,0.0009168585],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4833949,"threshold_uncertainty_score":0.999991,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01476291446111154,"score_gpt":0.2513377513057208,"score_spread":0.2365748368446092,"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."}}