{"id":"W1550796290","doi":"10.14492/hokmj/1470080747","title":"On a symmetry of complex and real multiplication","year":2016,"lang":"en","type":"article","venue":"Hokkaido Mathematical Journal","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Multiplication (music); Mathematics; Lattice (music); Integer (computer science); Pure mathematics; Arithmetic; Discrete mathematics; Combinatorics; Physics; Computer science","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":[0.00129676,0.0006104748,0.0006430221,0.001485066,0.001527825,0.003121886,0.0006868535,0.0006615386,0.006882568],"category_scores_gemma":[0.002304719,0.0002491442,0.001117294,0.0009529364,0.005628723,0.004861457,0.002220392,0.001793711,0.001288612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001297137,"about_ca_system_score_gemma":0.0008294663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009551093,"about_ca_topic_score_gemma":0.0004304951,"domain_scores_codex":[0.9986805,0.0003532268,0.00008384634,0.0003041332,0.0003994938,0.0001787801],"domain_scores_gemma":[0.998849,0.0003320941,0.0001374026,0.0002168963,0.0003098165,0.0001547316],"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":[0.00002474515,0.000009148957,0.00006284424,0.00001318252,0.00000331914,0.0000498957,0.0001022691,0.0001845751,0.0007436746,0.9948644,0.0006046426,0.003337224],"study_design_scores_gemma":[0.00002206573,0.00005241199,0.0001934702,0.00001329999,0.000005543784,0.000190522,0.00010048,0.0033864,0.001091966,0.9860728,0.008853897,0.000017079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2392952,0.002030808,0.4201504,0.003515144,0.003257333,0.0001872223,0.0006661557,0.0005299788,0.3303678],"genre_scores_gemma":[0.8722486,0.001114732,0.08342145,0.001336201,0.001276304,0.0001672603,0.0003618553,0.0002036164,0.03986981],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006882568,"threshold_uncertainty_score":0.0230245,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0557209689135508,"score_gpt":0.3509797552544724,"score_spread":0.2952587863409216,"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."}}