{"id":"W2051849172","doi":"10.4153/cjm-2001-031-x","title":"Inequivalent Transitive Factorizations into Transpositions","year":2001,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; University of Waterloo","keywords":"Mathematics; Transitive relation; Combinatorics; Equivalence (formal languages); Algebraic number; Set (abstract data type); Point (geometry); Discrete mathematics; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.0004433272,0.0002611158,0.0005473957,0.0004372355,0.0002683993,0.00006873375,0.0004509438,0.0001387254,0.000269536],"category_scores_gemma":[0.001013468,0.0002409883,0.0002496815,0.0005090352,0.0001350818,0.0003332467,0.000008325099,0.0003600196,0.00002460107],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003449813,"about_ca_system_score_gemma":0.0007743477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009154556,"about_ca_topic_score_gemma":0.003211312,"domain_scores_codex":[0.9979749,0.00006367438,0.001030434,0.000131641,0.0003904095,0.0004089574],"domain_scores_gemma":[0.9971635,0.0006173832,0.0005156953,0.0003636699,0.0006201494,0.0007195721],"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":[0.0000125689,0.0004812737,0.0002817391,0.0004409474,0.0002881153,0.0005120647,0.02637995,0.0001629847,0.001249764,0.9669646,0.002331316,0.0008946955],"study_design_scores_gemma":[0.000698221,0.000178461,0.00004896207,0.0004203258,0.0002430729,0.000659916,0.002269022,0.0002319359,0.0008581226,0.9890635,0.00502583,0.000302602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2092769,0.0002573965,0.7833505,0.001162915,0.0009883899,0.0004235744,0.00004010988,0.00005161656,0.004448693],"genre_scores_gemma":[0.8466049,0.00005671395,0.1526797,0.00006157436,0.0002642095,0.000008449157,0.000003844264,0.00007625332,0.0002443675],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.637328,"threshold_uncertainty_score":0.9827216,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04609097767618885,"score_gpt":0.3016210019107208,"score_spread":0.2555300242345319,"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."}}