{"id":"W4411151176","doi":"10.1103/physreve.111.065406","title":"Relative knot probabilities in confined lattice polygons","year":2025,"lang":"en","type":"article","venue":"Physical review. E","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni","keywords":"Knot (papermaking); Lattice (music); Mathematics; Combinatorics; Statistical physics; Physics; Materials 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009248256,0.0003385026,0.0009922292,0.001023042,0.0009597652,0.001648357,0.001624579,0.001036641,0.002729915],"category_scores_gemma":[0.004499608,0.000679374,0.0008453043,0.0006989221,0.002538675,0.003594299,0.001603435,0.0009850393,0.0001947017],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009805701,"about_ca_system_score_gemma":0.0005830525,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002649784,"about_ca_topic_score_gemma":0.001186001,"domain_scores_codex":[0.9993352,0.0001856195,0.00002388821,0.0001467702,0.0001530871,0.000155371],"domain_scores_gemma":[0.9975236,0.001306506,0.000430791,0.0003170697,0.0001364098,0.000285621],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002207685,0.0001009858,0.003856118,0.0002539128,0.00008980636,0.0005189206,0.0003461203,0.7413589,0.012131,0.2348443,0.0005123837,0.005766885],"study_design_scores_gemma":[0.00004992319,0.0001632354,0.002447863,0.00003655452,0.00003479847,0.0002135437,0.0001507382,0.8588181,0.003907517,0.1331095,0.0009952886,0.00007303208],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9407235,0.0007883862,0.05307771,0.0002302636,0.00003696679,0.00002082345,0.00009120916,0.0001259182,0.004905244],"genre_scores_gemma":[0.9957922,0.0003249209,0.002922669,0.00003138872,0.0000156667,0.00002658713,0.00006831457,0.00002870688,0.0007896712],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002729915,"threshold_uncertainty_score":0.009132504,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01696105759516549,"score_gpt":0.3355458624128611,"score_spread":0.3185848048176956,"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."}}