{"id":"W1956715345","doi":"10.37236/3000","title":"Permutations Destroying Arithmetic Structure","year":2015,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Permutation (music); Abelian group; Arithmetic progression; Combinatorics; Discrete mathematics; Arithmetic","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":[0.0007751195,0.0003840954,0.0005060631,0.001088477,0.001542624,0.002572736,0.0007992808,0.001215843,0.004462436],"category_scores_gemma":[0.006775817,0.0003580721,0.0005711954,0.0008384063,0.003174093,0.00365099,0.001734831,0.001461852,0.0005912312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001145529,"about_ca_system_score_gemma":0.001097369,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000644378,"about_ca_topic_score_gemma":0.0007288484,"domain_scores_codex":[0.9991568,0.0002116211,0.00004901187,0.0001783885,0.0002159043,0.0001882418],"domain_scores_gemma":[0.9966244,0.001762678,0.000559906,0.0006024702,0.0002024229,0.0002481441],"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":[0.0001287694,0.00004179243,0.001126716,0.00006578321,0.00001026966,0.0001974281,0.0003314769,0.006302395,0.004751068,0.970803,0.001231377,0.01500991],"study_design_scores_gemma":[0.00002823978,0.00006452436,0.0004374266,0.00002274028,0.00001854046,0.0003616388,0.0001817718,0.02401472,0.004707722,0.9647315,0.005408683,0.000022498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9144414,0.0003492335,0.03836842,0.0008024545,0.0001161461,0.00004357389,0.0001396073,0.0002586065,0.04548059],"genre_scores_gemma":[0.9813489,0.0002503738,0.009801955,0.0001237301,0.00009736134,0.00007445521,0.0001821737,0.00006165465,0.008059428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004462436,"threshold_uncertainty_score":0.0149284,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04053050991186655,"score_gpt":0.3066072104006342,"score_spread":0.2660767004887676,"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."}}