{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UMQGGAOR6KATKOLVOFGGEOZV2Q","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":"bd20a6efe48e2b7ce92b4a9443cab3d5703c4dc420d80050ea51997d50084766","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2008-01-16T17:12:56Z","title_canon_sha256":"c7ce1034801e91076fea0bb5e4b0f6a9932aaccfb4f6d1f8dca6d8d1bedeb38d"},"schema_version":"1.0","source":{"id":"0801.2385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2385","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2385v1","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2385","created_at":"2026-05-18T02:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"UMQGGAOR6KAT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UMQGGAOR6KATKOLV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UMQGGAOR","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:1a9bc78a0c299099831dce8483ba36245f2ee4c299aa9b24d8a1e8c4d5c3806d","target":"graph","created_at":"2026-05-18T02:35:23Z","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":"The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a very surprising property, since individual Feynman diagrams all diverge at infinite momentum. In this paper we give a simple physical understanding of amplitudes in this limit, which corresponds to a hard particle with (complex) light-like momentum moving in a soft background, and can be conveniently studied using the background field method exploiting back","authors_text":"Jared Kaplan, Nima Arkani-Hamed","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2008-01-16T17:12:56Z","title":"On Tree Amplitudes in Gauge Theory and Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2385","kind":"arxiv","version":1},"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:e8388a18e53f40d964022ecb922a812534597e89f46e14e5105b4107f2192d48","target":"record","created_at":"2026-05-18T02:35:23Z","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":"bd20a6efe48e2b7ce92b4a9443cab3d5703c4dc420d80050ea51997d50084766","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2008-01-16T17:12:56Z","title_canon_sha256":"c7ce1034801e91076fea0bb5e4b0f6a9932aaccfb4f6d1f8dca6d8d1bedeb38d"},"schema_version":"1.0","source":{"id":"0801.2385","kind":"arxiv","version":1}},"canonical_sha256":"a3206301d1f281353975714c623b35d407f9fd3fdf73beadb76600484becdcf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3206301d1f281353975714c623b35d407f9fd3fdf73beadb76600484becdcf6","first_computed_at":"2026-05-18T02:35:23.686928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:23.686928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DjJJvYJgiGESIWWyKWvHI0n7UQjGMdSyH89Ylct93Jr00PrSj0j1qhVIMqZKx7/ClIrQ41hynxjYgeaFSatYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:23.688294Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.2385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8388a18e53f40d964022ecb922a812534597e89f46e14e5105b4107f2192d48","sha256:1a9bc78a0c299099831dce8483ba36245f2ee4c299aa9b24d8a1e8c4d5c3806d"],"state_sha256":"c469f8cb6cf90ba8501d26d407833993feb9f769f2413c5bd0b1b2648c77ee0d"}