{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:MO6OG6ABIAOW5CTTRT3WZJ4AVE","short_pith_number":"pith:MO6OG6AB","canonical_record":{"source":{"id":"hep-ph/0411185","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-11-13T15:30:48Z","cross_cats_sorted":[],"title_canon_sha256":"21f3bb6abab46252dee05ab1a153226a52f90a2666c9a24afecb424dd6b9dea8","abstract_canon_sha256":"de6b26d701e9c340bf1fed16294c92b8e9ecb525a68bf5bf231769a35dce00ef"},"schema_version":"1.0"},"canonical_sha256":"63bce37801401d6e8a738cf76ca780a90556478aac222972d04e73e2af63ba75","source":{"kind":"arxiv","id":"hep-ph/0411185","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0411185","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0411185v3","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0411185","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"MO6OG6ABIAOW","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_16","alias_value":"MO6OG6ABIAOW5CTT","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_8","alias_value":"MO6OG6AB","created_at":"2026-07-04T16:48:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:MO6OG6ABIAOW5CTTRT3WZJ4AVE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0411185","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-11-13T15:30:48Z","cross_cats_sorted":[],"title_canon_sha256":"21f3bb6abab46252dee05ab1a153226a52f90a2666c9a24afecb424dd6b9dea8","abstract_canon_sha256":"de6b26d701e9c340bf1fed16294c92b8e9ecb525a68bf5bf231769a35dce00ef"},"schema_version":"1.0"},"canonical_sha256":"63bce37801401d6e8a738cf76ca780a90556478aac222972d04e73e2af63ba75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:34.521344Z","signature_b64":"M3SErwfJPvUsHEGc9bKN+4Yed8OijCCv9FSwWHDtBKoGwn32Xpk3l3SKfWeZUY7sW71dDKm/jXgISA/ZdKdVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63bce37801401d6e8a738cf76ca780a90556478aac222972d04e73e2af63ba75","last_reissued_at":"2026-07-04T16:48:34.520976Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:34.520976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0411185","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":"2026-07-04T16:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"btmh422YJ4IOfoCd6MTwUiAolSJEd5T0xyd4KodggIb/l5xWlkgo7//AmtOJSx9+G1hv2TyACvN849osRjmuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:57:49.287805Z"},"content_sha256":"4cb634ae2c912f430664c2674c8ec95ed1bd907d340b47eb27a20c602d513617","schema_version":"1.0","event_id":"sha256:4cb634ae2c912f430664c2674c8ec95ed1bd907d340b47eb27a20c602d513617"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:MO6OG6ABIAOW5CTTRT3WZJ4AVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Feynman rules for effective Regge action","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E.A. Kuraev, E.N. Antonov, I.O. Cherednikov, L.N. Lipatov","submitted_at":"2004-11-13T15:30:48Z","abstract_excerpt":"Starting from the gauge invariant effective action in the quasi-multi-Regge kinematics (QMRK), we obtain the effective reggeized gluon (R) -- particle (P) vertices of the following types: $RPP$, $RRP$, $RRPP$, $RPPP$, $RRPPP$, and $RPPPP$, where the on-mass-shell particles are gluons, or sets of gluons with small invariant masses. The explicit expressions satisfying the Bose-symmetry and gauge invariance conditions are obtained. As a comment to the Feynman rules for derivation of the amplitudes in terms of effective vertices we present a ``vocabulary'' for practitioners."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0411185","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/hep-ph/0411185/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":"2026-07-04T16:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ehqUmuz4lNGY4ry/KArg8WFVxg53hqFeBjbUA1jMlBOlgNGWqoOy08ns9GK16rQB4CXQV7GWql/QkEoDc9zNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T01:57:49.288293Z"},"content_sha256":"45cd2391227272f9fc05d609526f2c5b2e392a5d3451c3f2dc7f7e6313b7ddc7","schema_version":"1.0","event_id":"sha256:45cd2391227272f9fc05d609526f2c5b2e392a5d3451c3f2dc7f7e6313b7ddc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/bundle.json","state_url":"https://pith.science/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/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":"2026-08-21T01:57:49Z","links":{"resolver":"https://pith.science/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE","bundle":"https://pith.science/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/bundle.json","state":"https://pith.science/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MO6OG6ABIAOW5CTTRT3WZJ4AVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MO6OG6ABIAOW5CTTRT3WZJ4AVE","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":"de6b26d701e9c340bf1fed16294c92b8e9ecb525a68bf5bf231769a35dce00ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-11-13T15:30:48Z","title_canon_sha256":"21f3bb6abab46252dee05ab1a153226a52f90a2666c9a24afecb424dd6b9dea8"},"schema_version":"1.0","source":{"id":"hep-ph/0411185","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0411185","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0411185v3","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0411185","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"MO6OG6ABIAOW","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_16","alias_value":"MO6OG6ABIAOW5CTT","created_at":"2026-07-04T16:48:34Z"},{"alias_kind":"pith_short_8","alias_value":"MO6OG6AB","created_at":"2026-07-04T16:48:34Z"}],"graph_snapshots":[{"event_id":"sha256:45cd2391227272f9fc05d609526f2c5b2e392a5d3451c3f2dc7f7e6313b7ddc7","target":"graph","created_at":"2026-07-04T16:48:34Z","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/hep-ph/0411185/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Starting from the gauge invariant effective action in the quasi-multi-Regge kinematics (QMRK), we obtain the effective reggeized gluon (R) -- particle (P) vertices of the following types: $RPP$, $RRP$, $RRPP$, $RPPP$, $RRPPP$, and $RPPPP$, where the on-mass-shell particles are gluons, or sets of gluons with small invariant masses. The explicit expressions satisfying the Bose-symmetry and gauge invariance conditions are obtained. As a comment to the Feynman rules for derivation of the amplitudes in terms of effective vertices we present a ``vocabulary'' for practitioners.","authors_text":"E.A. Kuraev, E.N. Antonov, I.O. Cherednikov, L.N. Lipatov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-11-13T15:30:48Z","title":"Feynman rules for effective Regge action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0411185","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":"sha256:4cb634ae2c912f430664c2674c8ec95ed1bd907d340b47eb27a20c602d513617","target":"record","created_at":"2026-07-04T16:48:34Z","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":"de6b26d701e9c340bf1fed16294c92b8e9ecb525a68bf5bf231769a35dce00ef","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-11-13T15:30:48Z","title_canon_sha256":"21f3bb6abab46252dee05ab1a153226a52f90a2666c9a24afecb424dd6b9dea8"},"schema_version":"1.0","source":{"id":"hep-ph/0411185","kind":"arxiv","version":3}},"canonical_sha256":"63bce37801401d6e8a738cf76ca780a90556478aac222972d04e73e2af63ba75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63bce37801401d6e8a738cf76ca780a90556478aac222972d04e73e2af63ba75","first_computed_at":"2026-07-04T16:48:34.520976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:34.520976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M3SErwfJPvUsHEGc9bKN+4Yed8OijCCv9FSwWHDtBKoGwn32Xpk3l3SKfWeZUY7sW71dDKm/jXgISA/ZdKdVBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:34.521344Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0411185","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cb634ae2c912f430664c2674c8ec95ed1bd907d340b47eb27a20c602d513617","sha256:45cd2391227272f9fc05d609526f2c5b2e392a5d3451c3f2dc7f7e6313b7ddc7"],"state_sha256":"8b3d126d62f9d9135dacf635a9f57b63a69ee5a5bfff4783b94f96963fa8b83c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nXj4ZuuzL0CwhxpD2t1MUxVxBZ7VachjPa7o2EX8gRAtJFAX2lBxgVhoyiSkTMJ6GOVp/q1llvy9NQKxoJNBAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T01:57:49.291956Z","bundle_sha256":"b62914801e94a2850430f5a580d5654d153578cddd8707df5bc739ffdeb921c7"}}