{"id":"W2060226554","doi":"10.4171/cmh/257","title":"Current twisting and nonsingular matrices","year":2012,"lang":"en","type":"preprint","venue":"Commentarii Mathematici Helvetici","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Invertible matrix; Rank (graph theory); Automorphism; Mathematics; Action (physics); Pure mathematics; Matrix (chemical analysis); Automorphism group; Group (periodic table); Combinatorics; Algebra over a field; Physics; Chemistry; Quantum mechanics","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"],"consensus_categories":[],"category_scores_codex":[0.00124627,0.0007704762,0.001310107,0.0004863256,0.000276991,0.0001859897,0.0006501867,0.0004113401,0.000633708],"category_scores_gemma":[0.0009758063,0.0006980349,0.000254711,0.0002780916,0.0002883002,0.00009554902,0.00258338,0.001269773,0.0001206167],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001808532,"about_ca_system_score_gemma":0.00008902768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008735924,"about_ca_topic_score_gemma":0.00001487849,"domain_scores_codex":[0.9964521,0.0002261688,0.001171307,0.0006933399,0.0005451818,0.0009119054],"domain_scores_gemma":[0.9954447,0.002052849,0.0009345341,0.001110889,0.0001205544,0.0003365036],"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":[0.00006126286,0.005062277,0.007936293,0.03175668,0.001957308,0.00007959319,0.02695632,0.000008918732,0.0001869984,0.7760936,0.07456969,0.07533103],"study_design_scores_gemma":[0.000761536,0.00006850682,0.0004255793,0.001713528,0.00136284,0.0001415926,0.001051301,0.0006297884,0.0002914863,0.9811708,0.01120534,0.001177732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8787088,0.04165775,0.05888232,0.004115599,0.004543935,0.003315172,0.0001563651,0.000878112,0.007741882],"genre_scores_gemma":[0.8904643,0.0009151164,0.1061366,0.0005604003,0.001005285,0.0002309392,0.00009750336,0.0002271483,0.0003626594],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2050771,"threshold_uncertainty_score":0.9995471,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1099663752866201,"score_gpt":0.3685532163529282,"score_spread":0.258586841066308,"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."}}