{"id":"W4413319188","doi":"10.1063/5.0211719","title":"Rado matroids and a graphical calculus for boundaries of Wilson loop diagrams","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Division of Mathematical Sciences; National Security Agency; Simons Foundation; National Science Foundation","keywords":"Matroid; Loop (graph theory); Wilson loop; Mathematics; Calculus (dental); Algebra over a field; Combinatorics; Pure mathematics; Mathematical physics; Gauge theory","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":[0.0008282099,0.0002734593,0.001143776,0.0001197335,0.0001339498,0.00009354124,0.0003268927,0.0001540291,0.000006630064],"category_scores_gemma":[0.003208645,0.0002116315,0.0003861229,0.0003378445,0.0005372913,0.0002238588,0.0001211143,0.0003451481,0.000001158339],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000616605,"about_ca_system_score_gemma":0.000174045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.69163e-7,"about_ca_topic_score_gemma":4.681661e-7,"domain_scores_codex":[0.9976758,0.00006832802,0.001285866,0.0001659883,0.0005008259,0.0003032062],"domain_scores_gemma":[0.9952641,0.002862448,0.0008492541,0.0003595448,0.0005334171,0.0001312597],"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":[0.0001300218,0.000717683,0.00002361579,0.002398491,0.0002147967,0.000004388994,0.000497532,0.000003815768,0.001475511,0.9910873,0.001322244,0.002124667],"study_design_scores_gemma":[0.001533258,0.0003565945,0.00000996668,0.0007668108,0.000397669,0.00003465586,0.0002533243,0.001395586,0.006983199,0.9877138,0.000382986,0.0001721639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1924231,0.0002589289,0.8051959,0.0005369392,0.0004048937,0.0004956713,0.00001059535,0.00003060907,0.0006433412],"genre_scores_gemma":[0.7484347,0.0000503394,0.250701,0.00007738161,0.000327325,0.00003094013,0.000001112456,0.00007216513,0.0003050024],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5560116,"threshold_uncertainty_score":0.8630084,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02371319165248392,"score_gpt":0.3339028504404269,"score_spread":0.310189658787943,"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."}}