{"id":"W2581847351","doi":"10.1007/s10701-017-0090-7","title":"SICs and Algebraic Number Theory","year":2017,"lang":"en","type":"article","venue":"Foundations of Physics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Algebraic number theory; Algebraic number; Connection (principal bundle); Algebra over a field; Algebraic theory; Galois theory; Galois connection; Real algebraic geometry","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":[0.0008929261,0.0005857713,0.0008745607,0.00331167,0.001990294,0.003773715,0.0008187391,0.001067926,0.008539255],"category_scores_gemma":[0.003023264,0.000370453,0.0006289737,0.002433216,0.004655424,0.005312575,0.001737309,0.003094622,0.0009607679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001934011,"about_ca_system_score_gemma":0.001033094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001407308,"about_ca_topic_score_gemma":0.001023889,"domain_scores_codex":[0.9992794,0.0002133305,0.00003504155,0.0001190319,0.0002644759,0.00008869433],"domain_scores_gemma":[0.998381,0.0007262333,0.0001925083,0.0001720145,0.0003621665,0.0001661609],"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":[0.00000269777,0.0000023219,0.00005345893,0.000009879678,0.000001258603,0.000004971113,0.00002737583,0.000162281,0.00002951545,0.9975489,0.0005269062,0.001630411],"study_design_scores_gemma":[0.000002737793,0.000001869689,0.00007492972,0.000004097742,0.000001614213,0.00001566152,0.00001455391,0.0007195071,0.00002405338,0.9961951,0.002943388,0.000002520441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1950929,0.01901923,0.234018,0.02187226,0.002069674,0.00006516377,0.0008118885,0.0007212614,0.5263297],"genre_scores_gemma":[0.9427658,0.004247818,0.01763778,0.001028994,0.002286047,0.00005372459,0.0003488654,0.00007489814,0.03155593],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008539255,"threshold_uncertainty_score":0.02856666,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05320522140530954,"score_gpt":0.3566772139740858,"score_spread":0.3034719925687763,"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."}}