{"id":"W3092653029","doi":"10.37236/9982","title":"An Order on Circular Permutations","year":2021,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Partially ordered set; Mathematics; Combinatorics; Affine transformation; Lattice (music); Rank (graph theory); Order (exchange); Interval (graph theory); Discrete mathematics; Pure mathematics; Physics","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":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.002062972,0.0005303815,0.001034495,0.0002320458,0.0002579981,0.0002144779,0.00179866,0.0003909094,0.00004249171],"category_scores_gemma":[0.002071347,0.000399297,0.0004529536,0.0005953215,0.00009917231,0.0002057915,0.0002899595,0.004236133,0.000007037468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001203393,"about_ca_system_score_gemma":0.002514244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003290717,"about_ca_topic_score_gemma":0.000003877951,"domain_scores_codex":[0.995693,0.0006232822,0.001230046,0.0003371547,0.001333606,0.0007828607],"domain_scores_gemma":[0.9932385,0.00122507,0.001920865,0.001619217,0.001820735,0.0001756188],"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":[0.00003285704,0.001048461,0.000008926345,0.0001800321,0.0004161872,0.00005394474,0.001284844,0.002004387,0.0001400985,0.9944137,0.0002932148,0.0001233723],"study_design_scores_gemma":[0.0008245759,0.0007724958,0.00001210056,0.0003088607,0.00050394,0.0002543864,0.0007803983,0.0005966086,0.0007126328,0.9943631,0.0004815766,0.0003893692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7017241,0.003216476,0.2866469,0.001367826,0.00501391,0.0007812114,0.000006298158,0.0001210837,0.001122228],"genre_scores_gemma":[0.9975575,0.0006499412,0.0009267073,0.00009131839,0.0004434583,0.00002189016,0.000008392592,0.0001449207,0.0001558282],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2958335,"threshold_uncertainty_score":0.9998459,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03037655802564984,"score_gpt":0.3374801827934975,"score_spread":0.3071036247678476,"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."}}