{"id":"W4380874965","doi":"10.1139/cjp-2022-0145","title":"Algebra of hyperbolic band theory under magnetic field","year":2023,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Japan Society for the Promotion of Science; Office of Science; U.S. Department of Energy","keywords":"Physics; Riemann surface; Lattice (music); Quantum mechanics; Mathematical physics; Pure mathematics; Mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002001945,0.000095857,0.000239056,0.00009714135,0.00005537165,0.00001895952,0.000231651,0.00006628366,0.000187327],"category_scores_gemma":[0.0001672662,0.00008293599,0.0001287195,0.0002479383,0.00005636521,0.00006420627,0.0000101529,0.0001743127,0.000007238306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003335958,"about_ca_system_score_gemma":0.0004738796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002492091,"about_ca_topic_score_gemma":0.0002988995,"domain_scores_codex":[0.9992396,0.00004546053,0.0002682011,0.00006663361,0.0001612674,0.0002188227],"domain_scores_gemma":[0.9989628,0.000327934,0.0001667109,0.0001791482,0.0001256381,0.0002378231],"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":[0.000008305231,0.000006366515,0.0001739315,0.00002693065,0.00004243208,0.00001964486,0.0005935286,0.00004591384,0.0002076036,0.9913008,0.004197696,0.003376884],"study_design_scores_gemma":[0.0002716269,0.0001544321,0.0005772455,0.00004594321,0.00004950339,0.0000146929,0.0002505509,0.00001620994,0.002676333,0.9956118,0.0002477807,0.00008384112],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9956897,0.0002854116,0.000877542,0.0002862583,0.0008868666,0.00006032534,0.000005720018,0.000008281301,0.00189988],"genre_scores_gemma":[0.9990696,0.00001114517,0.0001076807,0.000162766,0.0003999192,6.710509e-7,4.736902e-7,0.00001986311,0.0002278944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004311077,"threshold_uncertainty_score":0.3382032,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02682061055826624,"score_gpt":0.2569780260235302,"score_spread":0.230157415465264,"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."}}