{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:MROTG322WZUBR2TJTUZ2ABSXDR","short_pith_number":"pith:MROTG322","canonical_record":{"source":{"id":"hep-ph/0206067","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-06-06T13:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"6a74134832937fa92f00d732e7e2ed3bc5b7e52ba0d0ab58b86b9fa3674aca88","abstract_canon_sha256":"41f905683ff8a2a32fc2697516ece052a7fafb539b4cf81309fb81fbfda2921e"},"schema_version":"1.0"},"canonical_sha256":"645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98","source":{"kind":"arxiv","id":"hep-ph/0206067","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0206067","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0206067v2","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0206067","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_12","alias_value":"MROTG322WZUB","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_16","alias_value":"MROTG322WZUBR2TJ","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_8","alias_value":"MROTG322","created_at":"2026-07-04T17:25:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:MROTG322WZUBR2TJTUZ2ABSXDR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0206067","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-06-06T13:34:50Z","cross_cats_sorted":[],"title_canon_sha256":"6a74134832937fa92f00d732e7e2ed3bc5b7e52ba0d0ab58b86b9fa3674aca88","abstract_canon_sha256":"41f905683ff8a2a32fc2697516ece052a7fafb539b4cf81309fb81fbfda2921e"},"schema_version":"1.0"},"canonical_sha256":"645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:22.266805Z","signature_b64":"/Y0r4Ssruqa2T4LJ7bdXW/AR/nIPwjCw6mOoZ1+0uPiYwGw9BCmGpLOiTEeBTZ5vttkT5hRNLtFBlISmU0QyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98","last_reissued_at":"2026-07-04T17:25:22.266387Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:22.266387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0206067","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":"2026-07-04T17:25:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OuudmWH+79wGwwBjP5Tpj4FN0XofV5UxsEHjU1noK/ijfsGXj/y9cbzkJk1n+j13kzRbziVkUQ/Bu88jh4bWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:41:31.856703Z"},"content_sha256":"9ec003b7e221ccf39b3656f7bf68857538fdceb8df50cdd3dba8e45a809a71d3","schema_version":"1.0","event_id":"sha256:9ec003b7e221ccf39b3656f7bf68857538fdceb8df50cdd3dba8e45a809a71d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:MROTG322WZUBR2TJTUZ2ABSXDR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-Loop QCD Helicity Amplitudes for $e^+e^- \\to 3$~Jets","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Koukoutsakis, E. Remiddi, E.W.N. Glover, L.W. Garland, T. Gehrmann","submitted_at":"2002-06-06T13:34:50Z","abstract_excerpt":"We compute the two-loop QCD helicity amplitudes for the process e^+e^- --> q bar{q} g. The amplitudes are extracted in a scheme-independent manner from the coefficients appearing in the general tensorial structure for this process. The tensor coefficients are derived from the Feynman graph amplitudes by means of projectors, within the conventional dimensional regularization scheme. The actual calculation of the loop integrals is then performed by reducing all of them to a small set of known master integrals. The infrared pole structure of the renormalized helicity amplitudes agrees with the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0206067","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0206067/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":"2026-07-04T17:25:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3VkhIl/NHWbOxXT+/RZK1hqRdVx4XxmCphRmcOT4Vzpnz85gauCtrcPQzaJs9BJ+hN3d+1yh8cqQmzWcv5TXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:41:31.857588Z"},"content_sha256":"1a9f467ee9fed9028099f460eabca611d4a4c48bd69be1203b8aae65aa0b491c","schema_version":"1.0","event_id":"sha256:1a9f467ee9fed9028099f460eabca611d4a4c48bd69be1203b8aae65aa0b491c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR/bundle.json","state_url":"https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MROTG322WZUBR2TJTUZ2ABSXDR/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":"2026-08-15T12:41:31Z","links":{"resolver":"https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR","bundle":"https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR/bundle.json","state":"https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MROTG322WZUBR2TJTUZ2ABSXDR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:MROTG322WZUBR2TJTUZ2ABSXDR","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":"41f905683ff8a2a32fc2697516ece052a7fafb539b4cf81309fb81fbfda2921e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-06-06T13:34:50Z","title_canon_sha256":"6a74134832937fa92f00d732e7e2ed3bc5b7e52ba0d0ab58b86b9fa3674aca88"},"schema_version":"1.0","source":{"id":"hep-ph/0206067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0206067","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0206067v2","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0206067","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_12","alias_value":"MROTG322WZUB","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_16","alias_value":"MROTG322WZUBR2TJ","created_at":"2026-07-04T17:25:22Z"},{"alias_kind":"pith_short_8","alias_value":"MROTG322","created_at":"2026-07-04T17:25:22Z"}],"graph_snapshots":[{"event_id":"sha256:1a9f467ee9fed9028099f460eabca611d4a4c48bd69be1203b8aae65aa0b491c","target":"graph","created_at":"2026-07-04T17:25:22Z","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/0206067/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the two-loop QCD helicity amplitudes for the process e^+e^- --> q bar{q} g. The amplitudes are extracted in a scheme-independent manner from the coefficients appearing in the general tensorial structure for this process. The tensor coefficients are derived from the Feynman graph amplitudes by means of projectors, within the conventional dimensional regularization scheme. The actual calculation of the loop integrals is then performed by reducing all of them to a small set of known master integrals. The infrared pole structure of the renormalized helicity amplitudes agrees with the pr","authors_text":"A. Koukoutsakis, E. Remiddi, E.W.N. Glover, L.W. Garland, T. Gehrmann","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-06-06T13:34:50Z","title":"Two-Loop QCD Helicity Amplitudes for $e^+e^- \\to 3$~Jets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0206067","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":"sha256:9ec003b7e221ccf39b3656f7bf68857538fdceb8df50cdd3dba8e45a809a71d3","target":"record","created_at":"2026-07-04T17:25:22Z","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":"41f905683ff8a2a32fc2697516ece052a7fafb539b4cf81309fb81fbfda2921e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-06-06T13:34:50Z","title_canon_sha256":"6a74134832937fa92f00d732e7e2ed3bc5b7e52ba0d0ab58b86b9fa3674aca88"},"schema_version":"1.0","source":{"id":"hep-ph/0206067","kind":"arxiv","version":2}},"canonical_sha256":"645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98","first_computed_at":"2026-07-04T17:25:22.266387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:22.266387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Y0r4Ssruqa2T4LJ7bdXW/AR/nIPwjCw6mOoZ1+0uPiYwGw9BCmGpLOiTEeBTZ5vttkT5hRNLtFBlISmU0QyAw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:22.266805Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0206067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ec003b7e221ccf39b3656f7bf68857538fdceb8df50cdd3dba8e45a809a71d3","sha256:1a9f467ee9fed9028099f460eabca611d4a4c48bd69be1203b8aae65aa0b491c"],"state_sha256":"a78b6aa719e85c1254e67e00fb2e64a73a562e329b6e901ba6f6a45f471af827"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJ9iVJFNvFrkkcU3epVscQjyeaKRnmGOEY1vZI3AALIkRYq7piWvXXRttSyO/X2Vp9hOD0CVCTr9DlJp486lDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T12:41:31.863109Z","bundle_sha256":"b8d8b85ddfa8a21576e76e8f340b827416a02a577488fd671e1c1f0cc97eab25"}}