{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GTW76F2VVDKEOGPKQOF45Z3GRG","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":"3143bad17cfff0dda53ad50d61105c67f1833f2229ee1aa323a298837126d7b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T12:24:13Z","title_canon_sha256":"950835c0dcb03f65e337847ab7775ecb47acd1aa53dade56f197d1853ee710c5"},"schema_version":"1.0","source":{"id":"1411.0452","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0452","created_at":"2026-05-18T02:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0452v4","created_at":"2026-05-18T02:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0452","created_at":"2026-05-18T02:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"GTW76F2VVDKE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GTW76F2VVDKEOGPK","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GTW76F2V","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:342147014f38a316841a12f78062ab21fb7d9240d3a37c5da48f52d188b98e67","target":"graph","created_at":"2026-05-18T02:17:00Z","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":"In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an instruction of the algorithm, we will use several examples to demonstrate its application, including amplitudes of color-ordered phi-4 theory, Yang-Mills theory, Einstein-Maxwell theory and color-ordered Yukawa theory with phi-4 interaction.","authors_text":"Bo Feng, Chenkai Qiao, Junjie Rao, Kang Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T12:24:13Z","title":"Determination of Boundary Contributions in Recursion Relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0452","kind":"arxiv","version":4},"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:ee1fd7b804a93c4da31b835007d28897d745bd445f3d33b53dd325f9555f0523","target":"record","created_at":"2026-05-18T02:17:00Z","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":"3143bad17cfff0dda53ad50d61105c67f1833f2229ee1aa323a298837126d7b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-03T12:24:13Z","title_canon_sha256":"950835c0dcb03f65e337847ab7775ecb47acd1aa53dade56f197d1853ee710c5"},"schema_version":"1.0","source":{"id":"1411.0452","kind":"arxiv","version":4}},"canonical_sha256":"34edff1755a8d44719ea838bcee76689a56f5ad309aaf849a6a681313ac6737c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34edff1755a8d44719ea838bcee76689a56f5ad309aaf849a6a681313ac6737c","first_computed_at":"2026-05-18T02:17:00.975289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:00.975289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LPdKGropWfHP7T9sw1TH7lS5t1qNcBbuVoAbh9Hj0YRH4sVMAqnKAKpLuGrWVOhfA3fxxR6EzBazhLXS+r6+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:00.975958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0452","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee1fd7b804a93c4da31b835007d28897d745bd445f3d33b53dd325f9555f0523","sha256:342147014f38a316841a12f78062ab21fb7d9240d3a37c5da48f52d188b98e67"],"state_sha256":"a4bec0d89d9e36f3bed5d6bd7625a4220bfc041f35943e047df1af4ba599f66c"}