{"id":"W2790728329","doi":"10.1007/jhep01(2019)155","title":"From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop","year":2019,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Hausdorff Research Institute for Mathematics; Agence Nationale de la Recherche","keywords":"Massless particle; Scattering amplitude; Modular design; Loop (graph theory); Generalization; Projection (relational algebra); Graph; Amplitude; String (physics)","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":[0.0006363388,0.001224552,0.0005195349,0.003474316,0.001174924,0.00272651,0.001236632,0.001491866,0.004428338],"category_scores_gemma":[0.003205668,0.000464485,0.0006375305,0.001110207,0.004340146,0.004027414,0.002033825,0.002088666,0.0006042249],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007101785,"about_ca_system_score_gemma":0.0004065735,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004197521,"about_ca_topic_score_gemma":0.0004421683,"domain_scores_codex":[0.9997335,0.0000682032,0.000012079,0.00004670327,0.00007843637,0.00006108444],"domain_scores_gemma":[0.9988976,0.0004439789,0.0002164333,0.0001277249,0.00008786307,0.0002263426],"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":[0.00007037305,0.00008883499,0.0009748371,0.00008241705,0.0000105466,0.0007171523,0.0008017808,0.005550504,0.009712384,0.9754059,0.0004389475,0.006146221],"study_design_scores_gemma":[0.00001647076,0.00002595208,0.001078578,0.00003398342,0.000007966318,0.0003761515,0.0002072502,0.04185478,0.002202988,0.9537106,0.0004580251,0.00002739301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8754495,0.0005967726,0.07835875,0.000750963,0.0002058789,0.00003916809,0.00008010035,0.000395513,0.04412325],"genre_scores_gemma":[0.9902825,0.0002861888,0.004358084,0.0001121957,0.0001020652,0.00001901529,0.00004382014,0.0001003442,0.00469573],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004428338,"threshold_uncertainty_score":0.01481426,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03573979228471698,"score_gpt":0.2771764594880634,"score_spread":0.2414366672033464,"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."}}