{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:VYBMBLMBP2EOG2EK6Z2AHMYGVT","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":"912d724a515ef6c50ea34b23a5a6e6bac4d4ef25a6c6272c31f95c4ec3c7815f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-16T08:28:52Z","title_canon_sha256":"f88ed43b120d59807746da94cf55b1cb883dcafb1a0791d08febe2687f02eb57"},"schema_version":"1.0","source":{"id":"hep-ph/9907385","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9907385","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9907385v3","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9907385","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"pith_short_12","alias_value":"VYBMBLMBP2EO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"VYBMBLMBP2EOG2EK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"VYBMBLMB","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:71006378a875300af9edd5e50c8930c346ae0dd3b503ee7ca275606b05e811af","target":"graph","created_at":"2026-05-18T01:38:55Z","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"},"paper":{"abstract_excerpt":"We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell double box Feynman diagrams with arbitrary polynomials in numerators and general integer powers of propagators. Recurrence relations following from integration by parts are solved explicitly and any given double box diagram is expressed as a linear combination of two master double boxes and a family of simpler diagrams. The first master double box corresponds to all powers of the propagators equal to one and no numerators, and the second master double box differs from the first one by the secon","authors_text":"O.L.Veretin, V.A.Smirnov","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-07-16T08:28:52Z","title":"Analytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9907385","kind":"arxiv","version":3},"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":"sha256:6d202fe4c46f919ee84e7eb684cd9cb1d8463ef56408ce7f84c5767f231dc720","target":"record","created_at":"2026-05-18T01:38:55Z","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":"912d724a515ef6c50ea34b23a5a6e6bac4d4ef25a6c6272c31f95c4ec3c7815f","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-16T08:28:52Z","title_canon_sha256":"f88ed43b120d59807746da94cf55b1cb883dcafb1a0791d08febe2687f02eb57"},"schema_version":"1.0","source":{"id":"hep-ph/9907385","kind":"arxiv","version":3}},"canonical_sha256":"ae02c0ad817e88e3688af67403b306aceecb78439edadfe677708432e1d9fbd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae02c0ad817e88e3688af67403b306aceecb78439edadfe677708432e1d9fbd8","first_computed_at":"2026-05-18T01:38:55.929000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:55.929000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0dMxmbBSCkvc45dGfxAjx7Ezxk3ODp2DjSEvvXLxu/R1VWE7KgoIKu6rOI5qSugeIOHVFCP5Xo+08/wUFQUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:55.929709Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9907385","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d202fe4c46f919ee84e7eb684cd9cb1d8463ef56408ce7f84c5767f231dc720","sha256:71006378a875300af9edd5e50c8930c346ae0dd3b503ee7ca275606b05e811af"],"state_sha256":"04f2b7293182806029eb421573b9ad7b35ca9787907cb6bbd079dfd9bb4b9a70"}