{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:26OJ4IOZLZFIGIGGNY5W5DFAQV","short_pith_number":"pith:26OJ4IOZ","canonical_record":{"source":{"id":"1605.04268","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-13T17:40:34Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"913e3fc9e594ea7c865b8ecfae5c274bc947702a6a6107e35c9b7a1c980aab74","abstract_canon_sha256":"c7a5e09911eda3acc8c6e7599669ff674cdda0d05092af5e1fba97baeb4b94c9"},"schema_version":"1.0"},"canonical_sha256":"d79c9e21d95e4a8320c66e3b6e8ca08564400603fb3100895de4a4a0632d34c2","source":{"kind":"arxiv","id":"1605.04268","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04268","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04268v2","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04268","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"26OJ4IOZLZFI","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"26OJ4IOZLZFIGIGG","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"26OJ4IOZ","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:26OJ4IOZLZFIGIGGNY5W5DFAQV","target":"record","payload":{"canonical_record":{"source":{"id":"1605.04268","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-13T17:40:34Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"913e3fc9e594ea7c865b8ecfae5c274bc947702a6a6107e35c9b7a1c980aab74","abstract_canon_sha256":"c7a5e09911eda3acc8c6e7599669ff674cdda0d05092af5e1fba97baeb4b94c9"},"schema_version":"1.0"},"canonical_sha256":"d79c9e21d95e4a8320c66e3b6e8ca08564400603fb3100895de4a4a0632d34c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:38.116465Z","signature_b64":"VVgkOPBCLpipognw/+dNmUP/V0lvO+MMnbG4Are/TosVFrzvW62+Z9IC7ka67cyMcKKTSHPCWGM0GpU0eTr5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d79c9e21d95e4a8320c66e3b6e8ca08564400603fb3100895de4a4a0632d34c2","last_reissued_at":"2026-05-18T01:14:38.115758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:38.115758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.04268","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oU5gAf4wtkDAdDMCfb22dRw52OBoDG+S2TarjlN6HoDNcpwaNnab8JRSB/L8bnLG6Wut49Y7Zak/cwFq7yzNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:51:51.903381Z"},"content_sha256":"09c303b107d312a64adcf2401a55b4069ad048a9316b50bed0194ad396469baf","schema_version":"1.0","event_id":"sha256:09c303b107d312a64adcf2401a55b4069ad048a9316b50bed0194ad396469baf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:26OJ4IOZLZFIGIGGNY5W5DFAQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering amplitudes from a deconstruction of Feynman diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"C. M. Reyes, M. Maniatis","submitted_at":"2016-05-13T17:40:34Z","abstract_excerpt":"We show how to apply the BCFW recursion relation to Feynman loop integrals with the help of the Feynman-tree theorem. We deconstruct in this way all Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from the Feynman-tree theorem corresponds to an integration over the phase space of an unobserved particle pair. We argue that we can calculate scattering amplitudes alternatively by the construction of on-shell and gauge-invariant subamplitudes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04268","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"77vdaed54mReRjC4yKDGX7+aoLxLqnbpGpgAJGFkUha690nbybmIi103euwGyTlRZfVNpvCLHtzbrfApWn/kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:51:51.903723Z"},"content_sha256":"fef482ab3918e7f2e86185f81edbb88608e53ff83ea436045b970f8604e49576","schema_version":"1.0","event_id":"sha256:fef482ab3918e7f2e86185f81edbb88608e53ff83ea436045b970f8604e49576"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/bundle.json","state_url":"https://pith.science/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T11:51:51Z","links":{"resolver":"https://pith.science/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV","bundle":"https://pith.science/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/bundle.json","state":"https://pith.science/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/26OJ4IOZLZFIGIGGNY5W5DFAQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:26OJ4IOZLZFIGIGGNY5W5DFAQV","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":"c7a5e09911eda3acc8c6e7599669ff674cdda0d05092af5e1fba97baeb4b94c9","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-13T17:40:34Z","title_canon_sha256":"913e3fc9e594ea7c865b8ecfae5c274bc947702a6a6107e35c9b7a1c980aab74"},"schema_version":"1.0","source":{"id":"1605.04268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04268","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04268v2","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04268","created_at":"2026-05-18T01:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"26OJ4IOZLZFI","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"26OJ4IOZLZFIGIGG","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"26OJ4IOZ","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:fef482ab3918e7f2e86185f81edbb88608e53ff83ea436045b970f8604e49576","target":"graph","created_at":"2026-05-18T01:14:38Z","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 show how to apply the BCFW recursion relation to Feynman loop integrals with the help of the Feynman-tree theorem. We deconstruct in this way all Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from the Feynman-tree theorem corresponds to an integration over the phase space of an unobserved particle pair. We argue that we can calculate scattering amplitudes alternatively by the construction of on-shell and gauge-invariant subamplitudes.","authors_text":"C. M. Reyes, M. Maniatis","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-13T17:40:34Z","title":"Scattering amplitudes from a deconstruction of Feynman diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04268","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":"sha256:09c303b107d312a64adcf2401a55b4069ad048a9316b50bed0194ad396469baf","target":"record","created_at":"2026-05-18T01:14:38Z","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":"c7a5e09911eda3acc8c6e7599669ff674cdda0d05092af5e1fba97baeb4b94c9","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-13T17:40:34Z","title_canon_sha256":"913e3fc9e594ea7c865b8ecfae5c274bc947702a6a6107e35c9b7a1c980aab74"},"schema_version":"1.0","source":{"id":"1605.04268","kind":"arxiv","version":2}},"canonical_sha256":"d79c9e21d95e4a8320c66e3b6e8ca08564400603fb3100895de4a4a0632d34c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d79c9e21d95e4a8320c66e3b6e8ca08564400603fb3100895de4a4a0632d34c2","first_computed_at":"2026-05-18T01:14:38.115758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:38.115758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VVgkOPBCLpipognw/+dNmUP/V0lvO+MMnbG4Are/TosVFrzvW62+Z9IC7ka67cyMcKKTSHPCWGM0GpU0eTr5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:38.116465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09c303b107d312a64adcf2401a55b4069ad048a9316b50bed0194ad396469baf","sha256:fef482ab3918e7f2e86185f81edbb88608e53ff83ea436045b970f8604e49576"],"state_sha256":"9f8d3f67b53a0ec67ea40e3f7eb777bf501acd6b555e6be2e2d6951c209508f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mTY1mIUp3SRAmMYEyCZk2ftCDnD9LzFf3g7u8hIgpB2iAUNft1J3yOnx6zM2RTAXlIEFv+E+lQOaBhUf33x/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T11:51:51.907590Z","bundle_sha256":"f9de459b5fc2304f908a0ae8638f9f451b8bd7a92fb886aebf03e895d31214ca"}}