{"id":"W2602942862","doi":"10.1007/jhep11(2017)039","title":"Positive geometries and canonical forms","year":2017,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":159,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Goddard Space Flight Center; Princeton University; U.S. Department of Energy; National Science Foundation","keywords":"Canonical form; Connection (principal bundle); Gravitational singularity; Loop (graph theory); Boundary (topology); Triangulation; Differential form; Class (philosophy); Tree (set theory)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007024127,0.0006065386,0.00028685,0.001750138,0.001378362,0.003151752,0.0005939306,0.0006384517,0.009914929],"category_scores_gemma":[0.002743568,0.0003359336,0.0004585805,0.0009137971,0.005155684,0.00469518,0.002453988,0.001442763,0.001511866],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008162934,"about_ca_system_score_gemma":0.0004430949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006066508,"about_ca_topic_score_gemma":0.000568403,"domain_scores_codex":[0.9987286,0.0003794189,0.00006269379,0.0003070221,0.0003733351,0.0001488473],"domain_scores_gemma":[0.9991583,0.0002170078,0.0001167474,0.0001315995,0.0002283171,0.0001481186],"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":[0.000003015282,0.000003418268,0.000180507,0.00001261646,0.000001025353,0.00002905403,0.000224678,0.0002794812,0.0002814594,0.9946241,0.0006612724,0.003699362],"study_design_scores_gemma":[0.000002891075,0.00001705953,0.0003110866,0.00001383614,0.000002268428,0.0002116066,0.0003154959,0.002229055,0.0006849351,0.9826902,0.01350801,0.00001359677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4777129,0.001628205,0.2550482,0.002204972,0.0007747189,0.0001276565,0.0007476,0.0006127526,0.261143],"genre_scores_gemma":[0.9323469,0.0008290016,0.04785623,0.0002309157,0.0003661093,0.00005805803,0.0004738447,0.0001676006,0.01767135],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009914929,"threshold_uncertainty_score":0.03316873,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01901114852008547,"score_gpt":0.2742477745740974,"score_spread":0.255236626054012,"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."}}