{"id":"W2963251628","doi":"10.1017/prm.2019.36","title":"Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras","year":2019,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Australian Research Council","keywords":"Subalgebra; Vertex (graph theory); Mathematics; Toeplitz matrix; Abelian group; Algebra over a field; Pure mathematics; Action (physics); Gauge theory; Graph; Combinatorics; Physics; Mathematical physics; 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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007290202,0.0003672361,0.0007276886,0.00009671527,0.0002792223,0.00005878383,0.0006084653,0.0002737057,0.0009197098],"category_scores_gemma":[0.000789736,0.0002656311,0.0007155775,0.0007438565,0.0002291922,0.0002269418,0.0002485506,0.0006465262,0.000004179299],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001768276,"about_ca_system_score_gemma":0.00006143953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005618986,"about_ca_topic_score_gemma":0.000002399647,"domain_scores_codex":[0.9974334,0.00002000637,0.0008719396,0.0004433687,0.0008174725,0.000413847],"domain_scores_gemma":[0.996892,0.0008617837,0.0009968987,0.0004194012,0.0007242845,0.0001056038],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004018365,0.002739838,0.0254,0.00320065,0.0028749,2.819077e-7,0.03334294,0.000299027,0.6866544,0.1371414,0.1059784,0.001966342],"study_design_scores_gemma":[0.001873538,0.0002609925,0.0004138403,0.001192025,0.0001962532,0.00001000921,0.01384261,0.04140589,0.3598858,0.5796806,0.0006207176,0.0006177403],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9918306,0.00003320704,0.0003290079,0.0002188585,0.0006406737,0.0009347513,0.00005309077,0.0002218778,0.005737939],"genre_scores_gemma":[0.9041601,0.00004732365,0.09197964,0.0000710495,0.0003099192,0.00007483871,0.000005081154,0.00009951369,0.003252465],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4425392,"threshold_uncertainty_score":0.9999936,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03922433274270375,"score_gpt":0.2942350764282651,"score_spread":0.2550107436855614,"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."}}