{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Y65V6P5OWWTIH56GKY5A6JMJL7","short_pith_number":"pith:Y65V6P5O","schema_version":"1.0","canonical_sha256":"c7bb5f3faeb5a683f7c6563a0f25895ff67a516583cb944aadc94d69e419e3ef","source":{"kind":"arxiv","id":"1003.2403","version":1},"attestation_state":"computed","paper":{"title":"Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"N. E. J. Bjerrum-Bohr, Pierre Vanhove, Poul H. Damgaard, Thomas Sondergaard","submitted_at":"2010-03-11T19:52:34Z","abstract_excerpt":"We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level."},"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":"1003.2403","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-11T19:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"3eea1404080055609b4b33eff8fef9acbee70bed3fe4f4fbd096767d213b43f3","abstract_canon_sha256":"2a4a4a0a8806435a8f8ff4463f4111122d2a66a6e26f6d23b6c9bb3b46e7199c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:41.178979Z","signature_b64":"XIV1G4xBNmZnYqt0Jc/WOiqWOh9x28p4dHtBpi6e8muET7GZsyUJ+UzEZKJgYJPDZw5NtLeMYd1T7tem/tzZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7bb5f3faeb5a683f7c6563a0f25895ff67a516583cb944aadc94d69e419e3ef","last_reissued_at":"2026-05-18T02:33:41.178379Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:41.178379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"N. E. J. Bjerrum-Bohr, Pierre Vanhove, Poul H. Damgaard, Thomas Sondergaard","submitted_at":"2010-03-11T19:52:34Z","abstract_excerpt":"We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2403","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":"1003.2403","created_at":"2026-05-18T02:33:41.178467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.2403v1","created_at":"2026-05-18T02:33:41.178467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2403","created_at":"2026-05-18T02:33:41.178467+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y65V6P5OWWTI","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y65V6P5OWWTIH56G","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y65V6P5O","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2512.23699","citing_title":"Twisted de Rham theory for string double copy in AdS","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2601.11705","citing_title":"String Theory from Maximal Supersymmetry","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7","json":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7.json","graph_json":"https://pith.science/api/pith-number/Y65V6P5OWWTIH56GKY5A6JMJL7/graph.json","events_json":"https://pith.science/api/pith-number/Y65V6P5OWWTIH56GKY5A6JMJL7/events.json","paper":"https://pith.science/paper/Y65V6P5O"},"agent_actions":{"view_html":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7","download_json":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7.json","view_paper":"https://pith.science/paper/Y65V6P5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.2403&json=true","fetch_graph":"https://pith.science/api/pith-number/Y65V6P5OWWTIH56GKY5A6JMJL7/graph.json","fetch_events":"https://pith.science/api/pith-number/Y65V6P5OWWTIH56GKY5A6JMJL7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7/action/storage_attestation","attest_author":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7/action/author_attestation","sign_citation":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7/action/citation_signature","submit_replication":"https://pith.science/pith/Y65V6P5OWWTIH56GKY5A6JMJL7/action/replication_record"}},"created_at":"2026-05-18T02:33:41.178467+00:00","updated_at":"2026-05-18T02:33:41.178467+00:00"}