{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Q46FOX5PJN3VK5I4QHDFIOMNTY","short_pith_number":"pith:Q46FOX5P","schema_version":"1.0","canonical_sha256":"873c575faf4b7755751c81c654398d9e16f166b4b3ef6458f3f2925468db871a","source":{"kind":"arxiv","id":"1509.07167","version":1},"attestation_state":"computed","paper":{"title":"Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Sebastian Buchta","submitted_at":"2015-09-23T22:05:19Z","abstract_excerpt":"The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level scattering amplitudes. This is achieved by directly applying the Residue Theorem to the loop-energy-integration. The result is a sum over all possible single cuts of the Feynman diagram in consideration integrated over a modified phase space. These single-cut integrals, called Dual contributions, are in fact tree-level objects and thus give rise to the opportunity of bringing loop- and tree-contributions together, treating them simultaneously in a common Monte Carlo e"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.07167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-09-23T22:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"89fb5b381e2a628de1169951e89281a1701d1a704e050725724678d99a04db8b","abstract_canon_sha256":"9e7a6508da1a2dd5cb22b07aca53542a83219f925b24ae04c00fcb989ef11ea0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:09.743769Z","signature_b64":"n5qEWxdXzAvqajIQsh+7kcGaTLmWNypVVo3/5dkq2/mTSrzJ+/kFf4NR/YG5EJ1poArFyJrq1eQOpVgH4wZuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"873c575faf4b7755751c81c654398d9e16f166b4b3ef6458f3f2925468db871a","last_reissued_at":"2026-05-18T01:32:09.743154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:09.743154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Sebastian Buchta","submitted_at":"2015-09-23T22:05:19Z","abstract_excerpt":"The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level scattering amplitudes. This is achieved by directly applying the Residue Theorem to the loop-energy-integration. The result is a sum over all possible single cuts of the Feynman diagram in consideration integrated over a modified phase space. These single-cut integrals, called Dual contributions, are in fact tree-level objects and thus give rise to the opportunity of bringing loop- and tree-contributions together, treating them simultaneously in a common Monte Carlo e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07167","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.07167","created_at":"2026-05-18T01:32:09.743249+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.07167v1","created_at":"2026-05-18T01:32:09.743249+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07167","created_at":"2026-05-18T01:32:09.743249+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q46FOX5PJN3V","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q46FOX5PJN3VK5I4","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q46FOX5P","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY","json":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY.json","graph_json":"https://pith.science/api/pith-number/Q46FOX5PJN3VK5I4QHDFIOMNTY/graph.json","events_json":"https://pith.science/api/pith-number/Q46FOX5PJN3VK5I4QHDFIOMNTY/events.json","paper":"https://pith.science/paper/Q46FOX5P"},"agent_actions":{"view_html":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY","download_json":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY.json","view_paper":"https://pith.science/paper/Q46FOX5P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.07167&json=true","fetch_graph":"https://pith.science/api/pith-number/Q46FOX5PJN3VK5I4QHDFIOMNTY/graph.json","fetch_events":"https://pith.science/api/pith-number/Q46FOX5PJN3VK5I4QHDFIOMNTY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY/action/storage_attestation","attest_author":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY/action/author_attestation","sign_citation":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY/action/citation_signature","submit_replication":"https://pith.science/pith/Q46FOX5PJN3VK5I4QHDFIOMNTY/action/replication_record"}},"created_at":"2026-05-18T01:32:09.743249+00:00","updated_at":"2026-05-18T01:32:09.743249+00:00"}