{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:3EDE3BFZY27LAYCVAHLDZYLBPL","short_pith_number":"pith:3EDE3BFZ","schema_version":"1.0","canonical_sha256":"d9064d84b9c6beb0605501d63ce1617af38ea9bfd8df3d66998cf15e6caec0b8","source":{"kind":"arxiv","id":"hep-th/0701187","version":2},"attestation_state":"computed","paper":{"title":"Recursion Relations for One-Loop Gravity Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andreas Brandhuber, Bill Spence, Gabriele Travaglini, Simon McNamara","submitted_at":"2007-01-19T18:47:29Z","abstract_excerpt":"We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+) can be derived from simple recursion relations. The latter amplitude is derived by introducing a one-loop three-point vertex of gravitons of positive helicity, which is the counterpart in gravity of the one-loop three-plus vertex in Yang-Mills. We show that new issues arise for the fi"},"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":"hep-th/0701187","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-19T18:47:29Z","cross_cats_sorted":[],"title_canon_sha256":"9037ff0159f87f7ee075d9095dd5b52201f8ac02fbeacabc76a87950bdc9a99a","abstract_canon_sha256":"dbc099b306e1a5a1081a6d4b850ccd7083a986652c4e9f237c7faec050bffce9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:25.124112Z","signature_b64":"q0n42Epw98RTUkh0ARt6A5Zuxt9aQTfAXy37y+kqC4QjH1u6LNaNpVqtWOaPCukWzQa5cfwhYO8vv6ABPp6nCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9064d84b9c6beb0605501d63ce1617af38ea9bfd8df3d66998cf15e6caec0b8","last_reissued_at":"2026-05-18T04:38:25.123631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:25.123631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recursion Relations for One-Loop Gravity Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andreas Brandhuber, Bill Spence, Gabriele Travaglini, Simon McNamara","submitted_at":"2007-01-19T18:47:29Z","abstract_excerpt":"We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+) can be derived from simple recursion relations. The latter amplitude is derived by introducing a one-loop three-point vertex of gravitons of positive helicity, which is the counterpart in gravity of the one-loop three-plus vertex in Yang-Mills. We show that new issues arise for the fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701187","kind":"arxiv","version":2},"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":"hep-th/0701187","created_at":"2026-05-18T04:38:25.123701+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701187v2","created_at":"2026-05-18T04:38:25.123701+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701187","created_at":"2026-05-18T04:38:25.123701+00:00"},{"alias_kind":"pith_short_12","alias_value":"3EDE3BFZY27L","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"3EDE3BFZY27LAYCV","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"3EDE3BFZ","created_at":"2026-05-18T12:25:54.717736+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/3EDE3BFZY27LAYCVAHLDZYLBPL","json":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL.json","graph_json":"https://pith.science/api/pith-number/3EDE3BFZY27LAYCVAHLDZYLBPL/graph.json","events_json":"https://pith.science/api/pith-number/3EDE3BFZY27LAYCVAHLDZYLBPL/events.json","paper":"https://pith.science/paper/3EDE3BFZ"},"agent_actions":{"view_html":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL","download_json":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL.json","view_paper":"https://pith.science/paper/3EDE3BFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0701187&json=true","fetch_graph":"https://pith.science/api/pith-number/3EDE3BFZY27LAYCVAHLDZYLBPL/graph.json","fetch_events":"https://pith.science/api/pith-number/3EDE3BFZY27LAYCVAHLDZYLBPL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL/action/storage_attestation","attest_author":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL/action/author_attestation","sign_citation":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL/action/citation_signature","submit_replication":"https://pith.science/pith/3EDE3BFZY27LAYCVAHLDZYLBPL/action/replication_record"}},"created_at":"2026-05-18T04:38:25.123701+00:00","updated_at":"2026-05-18T04:38:25.123701+00:00"}