{"id":"W2919031019","doi":"10.1088/1751-8121/ab56f0","title":"The free energy of compressed lattice knots","year":2019,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Polygon (computer graphics); Knot (papermaking); Lattice constant; Unknot; Cube (algebra); Polyhedron","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004129103,0.0003861308,0.0006195779,0.001147797,0.0006524234,0.001289073,0.0007480248,0.0008255206,0.005609424],"category_scores_gemma":[0.002052606,0.0003648684,0.000354862,0.0006736395,0.00177926,0.001325943,0.001082111,0.0006679259,0.0002398492],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008352896,"about_ca_system_score_gemma":0.0004277754,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001928581,"about_ca_topic_score_gemma":0.001118006,"domain_scores_codex":[0.9996978,0.00003973849,0.00001084442,0.00005764711,0.0001190554,0.00007496842],"domain_scores_gemma":[0.9991622,0.0004118854,0.0001121024,0.0001173729,0.00006272215,0.000133759],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002316532,0.0001004686,0.003051306,0.0001387051,0.00006945999,0.0002816633,0.0001149243,0.8910323,0.04277948,0.05500622,0.0004271001,0.006766721],"study_design_scores_gemma":[0.00004668373,0.0001147976,0.003816745,0.00002419782,0.00002372545,0.0001314935,0.00007798276,0.9508527,0.01387866,0.03019518,0.0007521973,0.00008566381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9847579,0.0001734388,0.01044511,0.0001147841,0.00001832879,0.00000790641,0.0001153724,0.00005324634,0.004313976],"genre_scores_gemma":[0.9979728,0.00004670138,0.001097854,0.00001201021,0.000004410957,0.00001163226,0.0001083955,0.00002541974,0.0007207698],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005609424,"threshold_uncertainty_score":0.01876539,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01238248348945642,"score_gpt":0.2548213849278274,"score_spread":0.2424389014383709,"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."}}