{"paper":{"title":"Cancellation of divergences up to three loops in exceptional field theory","arxiv_id":"1712.02793","primary_cat":"hep-th","submitted_at":"2017-12-07T19:00:01+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.88,"id":"s0","own":true,"role":"contribution","text":"We consider the tetrahedral three-loop diagram in $E_d$ exceptional field theory evaluated as a scalar diagram for four external gravitons.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.81,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.58,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.0,"background":0.1,"limitation":0.0,"future_work":0.0,"contribution":0.88,"interpretation":0.0}},{"i":1,"p":0.67,"id":"s1","own":false,"role":"background","text":"At lowest order in momenta, this diagram contributes to the $\\nabla^6 R^4$ term in the low-energy effective action for M-theory.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.24,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.3,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.1,"background":0.67,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.15}},{"i":2,"p":0.7,"id":"s2","own":true,"role":"method","text":"We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.7,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.3,"interpretation":0.0}},{"i":3,"p":0.77,"id":"s3","own":true,"role":"result","text":"These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the $\\nabla^6 R^4$ coupling.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.87,"main_claim_p":0.39,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.77,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.2}},{"i":4,"p":0.54,"id":"s4","own":true,"role":"interpretation","text":"We also show how our results, even though sums over 1/2-BPS states, are consistent with expected 1/4-BPS contributions to the couplings.","hedge":{"p":0.61,"label":"asserted"},"own_p":0.89,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.3,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.43,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.54}}]},"compiled":{"main_claim":{"p":0.94,"text":"These sums can be rewritten as Eisenstein series that solve the homogeneous differential equations that supersymmetry implies for the $\\nabla^6 R^4$ coupling.","location":"abstract s3","hedge_strength":{"p":0.98,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":4301,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.25,"human_participants":0.01,"controlled_comparison":0.02,"randomized_assignment":0.01,"states_quantitative_result":0.08,"compares_with_prior_results":0.19,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.98,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":0.98,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.02}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.99,"text":"We evaluate explicitly the sums over the discrete exceptional field theory loop momenta that become sums over 1/2-BPS states in the compact exceptional space.","location":"abstract s2"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":5,"sentences_in_abstract":5},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}