{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GDC6NPM2ZNZJOA5NFVYSR2CXB7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e70547287d4dc98315122b258aaf8d47c69d5850cfa71fd95a2f7d76c576657d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-18T12:54:19Z","title_canon_sha256":"0448c0493fe3347d0a97972b4d0ebd1f24881010f91b5ec178cc3a26b29ff892"},"schema_version":"1.0","source":{"id":"0804.3008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3008","created_at":"2026-07-04T15:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3008v2","created_at":"2026-07-04T15:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3008","created_at":"2026-07-04T15:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"GDC6NPM2ZNZJ","created_at":"2026-07-04T15:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GDC6NPM2ZNZJOA5N","created_at":"2026-07-04T15:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GDC6NPM2","created_at":"2026-07-04T15:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:bbfb0d789801025f00299bd1c180254e7d5e612bf2c0a7c0fd2d1e51dfda85c8","target":"graph","created_at":"2026-07-04T15:27:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0804.3008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The excessiveness of integration-by-part (IBP) identities is discussed. The Lie-algebraic structure of the IBP identities is used to reduce the number of the IBP equations to be considered. It is shown that Lorentz-invariance (LI) identities do not bring any information additional to that contained in the IBP identities, and therefore, can be discarded.","authors_text":"R.N. Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-18T12:54:19Z","title":"Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3008","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ed68451525fe99d009f2e9dcf630bca529aa927a08c5627dc044de9f5c9f1200","target":"record","created_at":"2026-07-04T15:27:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e70547287d4dc98315122b258aaf8d47c69d5850cfa71fd95a2f7d76c576657d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-18T12:54:19Z","title_canon_sha256":"0448c0493fe3347d0a97972b4d0ebd1f24881010f91b5ec178cc3a26b29ff892"},"schema_version":"1.0","source":{"id":"0804.3008","kind":"arxiv","version":2}},"canonical_sha256":"30c5e6bd9acb729703ad2d7128e8570fda449fca027aaae213803ee6d03c8648","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c5e6bd9acb729703ad2d7128e8570fda449fca027aaae213803ee6d03c8648","first_computed_at":"2026-07-04T15:27:06.138488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:27:06.138488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ihp4VIfngUg5ApETxurgfgeJ02wOFpVoUAK6Tp1GIDF05e4b4nMhufOYUJEwSBMvqWGruAspOADIWoeynM34AA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:27:06.138883Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.3008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed68451525fe99d009f2e9dcf630bca529aa927a08c5627dc044de9f5c9f1200","sha256:bbfb0d789801025f00299bd1c180254e7d5e612bf2c0a7c0fd2d1e51dfda85c8"],"state_sha256":"235ba6dd9369859696470a119e3a863dc12921c890ff9b9255bc43b9d6eb538b"}