{"id":"W2585169510","doi":"10.4064/dm785-3-2018","title":"Alexander invariants of periodic virtual knots","year":2018,"lang":"it","type":"article","venue":"Dissertationes Mathematicae","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Braid; Quotient; Knot theory; Knot (papermaking); Periodic orbits; Pure mathematics; Tricolorability; Connected sum; Skein relation; Combinatorics; Mathematical analysis","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006050234,0.0004703727,0.0009928626,0.0004654249,0.0002895698,0.00007351735,0.0005505893,0.0003318171,0.0151612],"category_scores_gemma":[0.002634557,0.0004205979,0.0002506156,0.001105281,0.000735114,0.0002354839,0.0001190719,0.0002143725,0.002228208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003513655,"about_ca_system_score_gemma":0.000184346,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002904139,"about_ca_topic_score_gemma":0.00002974208,"domain_scores_codex":[0.9967088,0.000157929,0.001403327,0.0005224764,0.0006140081,0.000593499],"domain_scores_gemma":[0.9962261,0.001272165,0.0008450174,0.0008629535,0.000579434,0.000214279],"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":[0.0001005519,0.001338431,0.0009276725,0.0009829951,0.000422634,0.00001136917,0.03414021,0.000002429262,0.0035091,0.9547466,0.001507782,0.002310213],"study_design_scores_gemma":[0.005360416,0.00317448,0.05746018,0.002219908,0.00183686,0.0001947007,0.08113223,0.007087708,0.04031704,0.7977673,0.001005078,0.002444094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9450119,0.0002095637,0.02694211,0.0004729177,0.0007259995,0.0006621814,0.00003410246,0.00009880917,0.02584242],"genre_scores_gemma":[0.9731732,0.00002786601,0.007977733,0.00009203551,0.0002297015,0.00003630149,0.00002454942,0.00008073208,0.01835785],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1569793,"threshold_uncertainty_score":0.9998246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03198810205888632,"score_gpt":0.3124780939562573,"score_spread":0.280489991897371,"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."}}