{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001170444,0.0001391269,0.0002551244,0.0001137418,0.0002026096,0.00004122488,0.0005699043,0.00007389705,0.00001205912],"category_scores_gemma":[0.000720327,0.00008642218,0.0001283433,0.0003232103,0.000115857,0.000125183,0.00006639376,0.0008591039,9.636757e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002539152,"about_ca_system_score_gemma":0.0004230287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001637177,"about_ca_topic_score_gemma":0.000002492544,"domain_scores_codex":[0.9984209,0.0001966326,0.0004013141,0.00007826358,0.0004997285,0.0004031965],"domain_scores_gemma":[0.9984533,0.0003779469,0.0004139895,0.0002749168,0.0003704675,0.0001094237],"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":[0.0000265738,0.00003270513,0.0002029806,0.000006625758,0.0000934347,0.000009215506,0.001805211,0.00006722522,0.00004264853,0.9967791,0.0006555187,0.0002787808],"study_design_scores_gemma":[0.0007083745,0.0002908381,0.0001920858,0.00001382247,0.0001343911,0.0006761261,0.0006331656,0.00006168586,0.0002335608,0.9956241,0.001330858,0.0001009456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9823203,0.002190838,0.01334026,0.0004337155,0.0008903999,0.0001096756,0.000001665649,0.0000213316,0.0006917748],"genre_scores_gemma":[0.9993063,0.00005794895,0.0002489446,0.00006086251,0.0001726858,8.887566e-7,4.22481e-7,0.00002384213,0.0001281037],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01698597,"threshold_uncertainty_score":0.3732427,"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."}}