{"id":"W2953053943","doi":"10.48550/arxiv.1103.1896","title":"Homomorphic expansions for knotted trivalent graphs","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"","keywords":"Homomorphic encryption; Diagrammatic reasoning; Invariant (physics); Algebraic number; Mathematics; Knot (papermaking); Combinatorics; Pure mathematics; Discrete mathematics; Computer science; Engineering; Mathematical physics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003444438,0.0002248522,0.0002102885,0.001308704,0.0005534429,0.001118114,0.0004564595,0.0002939286,0.004101803],"category_scores_gemma":[0.0009358926,0.0001688217,0.0003760943,0.0005391979,0.002132689,0.001867018,0.001565483,0.001262012,0.0003999607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007369224,"about_ca_system_score_gemma":0.0002068029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004335765,"about_ca_topic_score_gemma":0.0004165787,"domain_scores_codex":[0.9995762,0.00006361076,0.00002015193,0.00007612717,0.000161919,0.0001019869],"domain_scores_gemma":[0.9994078,0.000187276,0.0001128359,0.000100117,0.00008444268,0.0001076103],"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":[0.00001252293,0.00001262005,0.0001573512,0.000017542,0.000002053697,0.00008502655,0.0003305281,0.0005936571,0.00361379,0.9857424,0.0004277924,0.009004707],"study_design_scores_gemma":[0.00001875649,0.00008209618,0.001467194,0.00002897392,0.00001168548,0.0004928749,0.0004786054,0.01245802,0.00804708,0.959993,0.01688955,0.00003218525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6445194,0.0005588831,0.2269858,0.0004860181,0.0001955909,0.00006957938,0.0002143651,0.001274526,0.1256958],"genre_scores_gemma":[0.9657786,0.0003215086,0.02027839,0.0001677456,0.0001178974,0.00007431296,0.0001340891,0.0001771238,0.01295022],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004101803,"threshold_uncertainty_score":0.01372194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2272254161370418,"score_gpt":0.2348349943644119,"score_spread":0.007609578227370128,"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."}}