{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ZXA56O5IIZLWNCII2XKOHY7IWF","short_pith_number":"pith:ZXA56O5I","canonical_record":{"source":{"id":"2208.02831","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-04T18:03:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"27a349d882bd296f8d02146c2a93f09957c4f653a0a44c1b5dd17640683aaeba","abstract_canon_sha256":"0855a85070b4c307155e252acb23b7cfe67bb5be382fea6cbb64a566db126f54"},"schema_version":"1.0"},"canonical_sha256":"cdc1df3ba84657668908d5d4e3e3e8b17db3a2c7752e877f472eadbed0b08bf0","source":{"kind":"arxiv","id":"2208.02831","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.02831","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"2208.02831v3","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02831","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZXA56O5IIZLW","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZXA56O5IIZLWNCII","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZXA56O5I","created_at":"2026-07-05T05:50:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ZXA56O5IIZLWNCII2XKOHY7IWF","target":"record","payload":{"canonical_record":{"source":{"id":"2208.02831","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-04T18:03:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"27a349d882bd296f8d02146c2a93f09957c4f653a0a44c1b5dd17640683aaeba","abstract_canon_sha256":"0855a85070b4c307155e252acb23b7cfe67bb5be382fea6cbb64a566db126f54"},"schema_version":"1.0"},"canonical_sha256":"cdc1df3ba84657668908d5d4e3e3e8b17db3a2c7752e877f472eadbed0b08bf0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:50:07.608132Z","signature_b64":"I6xHsAPBlvUoHVnhcyPAVNGGZg1jyEim8xk3jeMNV7GfUcIwT015rpMtH54wJ5La9zEMzvuwVm4+lEqGlfoYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdc1df3ba84657668908d5d4e3e3e8b17db3a2c7752e877f472eadbed0b08bf0","last_reissued_at":"2026-07-05T05:50:07.607625Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:50:07.607625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.02831","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RN8nfjI8Tw3uT1JZj0EUeoKfP865cBOjPLbNKqZVPtqC4Ap+DdVBwR3NC2ZSI2BQi09HXqi2BLyurDyJFwsRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:21:34.169482Z"},"content_sha256":"fb5c72e76e112520fd9605506ece232fc22f07024083dc2738777a1c22d179ea","schema_version":"1.0","event_id":"sha256:fb5c72e76e112520fd9605506ece232fc22f07024083dc2738777a1c22d179ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ZXA56O5IIZLWNCII2XKOHY7IWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-loop off-shell amplitudes from classical equations of motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander Quintero Velez, Cristhiam Lopez-Arcos, Humberto Gomez, Renann Lipinski Jusinskas","submitted_at":"2022-08-04T18:03:07Z","abstract_excerpt":"In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the require"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02831","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.02831/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Ma7s4pD+sJscB3SjzIHhQj0xJzGVMJQ/gv8IphnJ064GdP/darPZZQBfFKJEuaQ06wmc1hnTod12jSQSHX7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T07:21:34.169861Z"},"content_sha256":"896dbc8b0f484db57394bbb2c99bd5da97d37ae122c112762a88cad526ae24de","schema_version":"1.0","event_id":"sha256:896dbc8b0f484db57394bbb2c99bd5da97d37ae122c112762a88cad526ae24de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/bundle.json","state_url":"https://pith.science/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/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":"2026-08-01T07:21:34Z","links":{"resolver":"https://pith.science/pith/ZXA56O5IIZLWNCII2XKOHY7IWF","bundle":"https://pith.science/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/bundle.json","state":"https://pith.science/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXA56O5IIZLWNCII2XKOHY7IWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ZXA56O5IIZLWNCII2XKOHY7IWF","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":"0855a85070b4c307155e252acb23b7cfe67bb5be382fea6cbb64a566db126f54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-04T18:03:07Z","title_canon_sha256":"27a349d882bd296f8d02146c2a93f09957c4f653a0a44c1b5dd17640683aaeba"},"schema_version":"1.0","source":{"id":"2208.02831","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.02831","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"2208.02831v3","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.02831","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZXA56O5IIZLW","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZXA56O5IIZLWNCII","created_at":"2026-07-05T05:50:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZXA56O5I","created_at":"2026-07-05T05:50:07Z"}],"graph_snapshots":[{"event_id":"sha256:896dbc8b0f484db57394bbb2c99bd5da97d37ae122c112762a88cad526ae24de","target":"graph","created_at":"2026-07-05T05:50:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.02831/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the require","authors_text":"Alexander Quintero Velez, Cristhiam Lopez-Arcos, Humberto Gomez, Renann Lipinski Jusinskas","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-04T18:03:07Z","title":"One-loop off-shell amplitudes from classical equations of motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02831","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:fb5c72e76e112520fd9605506ece232fc22f07024083dc2738777a1c22d179ea","target":"record","created_at":"2026-07-05T05:50:07Z","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":"0855a85070b4c307155e252acb23b7cfe67bb5be382fea6cbb64a566db126f54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-08-04T18:03:07Z","title_canon_sha256":"27a349d882bd296f8d02146c2a93f09957c4f653a0a44c1b5dd17640683aaeba"},"schema_version":"1.0","source":{"id":"2208.02831","kind":"arxiv","version":3}},"canonical_sha256":"cdc1df3ba84657668908d5d4e3e3e8b17db3a2c7752e877f472eadbed0b08bf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdc1df3ba84657668908d5d4e3e3e8b17db3a2c7752e877f472eadbed0b08bf0","first_computed_at":"2026-07-05T05:50:07.607625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:07.607625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6xHsAPBlvUoHVnhcyPAVNGGZg1jyEim8xk3jeMNV7GfUcIwT015rpMtH54wJ5La9zEMzvuwVm4+lEqGlfoYCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:07.608132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.02831","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb5c72e76e112520fd9605506ece232fc22f07024083dc2738777a1c22d179ea","sha256:896dbc8b0f484db57394bbb2c99bd5da97d37ae122c112762a88cad526ae24de"],"state_sha256":"b2885f1303f4611cc19f52c404c1feb1c41aa7119a72cd3925be1c397577dc60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0kptCMR8MXe23omiMch8dPBXyAlZsFIKc7oe1X/XZKLHdtKcAj6DKAPBDih5tRLqbLf7sntkvWWL1QPlzrHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T07:21:34.172337Z","bundle_sha256":"69489de364949961fcd1c0c5a475d49ac21aab3bf98bbeb40919689edc5483da"}}