{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:AI6VUODOIS3WYEQD2X6OQZQATM","short_pith_number":"pith:AI6VUODO","canonical_record":{"source":{"id":"hep-ph/0503063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T17:02:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"eabfd2ca95b99353287ef4d7f99023269ac1e0d4061564b593d11d43ed768959","abstract_canon_sha256":"539c08609bf7eb6da647b0d0f647bf08dce66cbbf86c452373e6148afa6d178a"},"schema_version":"1.0"},"canonical_sha256":"023d5a386e44b76c1203d5fce866009b26d6ed11ed60a428d0c109d17d0ae52a","source":{"kind":"arxiv","id":"hep-ph/0503063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503063","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503063v1","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503063","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"AI6VUODOIS3W","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_16","alias_value":"AI6VUODOIS3WYEQD","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_8","alias_value":"AI6VUODO","created_at":"2026-07-04T16:55:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:AI6VUODOIS3WYEQD2X6OQZQATM","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0503063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T17:02:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"eabfd2ca95b99353287ef4d7f99023269ac1e0d4061564b593d11d43ed768959","abstract_canon_sha256":"539c08609bf7eb6da647b0d0f647bf08dce66cbbf86c452373e6148afa6d178a"},"schema_version":"1.0"},"canonical_sha256":"023d5a386e44b76c1203d5fce866009b26d6ed11ed60a428d0c109d17d0ae52a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:36.921860Z","signature_b64":"AUUL1YBOwQMgMrpHSwaC8fESZcGeJib/c47PnepC9nJkmD1CXWmYdi/6h81F33YM1uai2HmzZDJ7JVULhqkMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"023d5a386e44b76c1203d5fce866009b26d6ed11ed60a428d0c109d17d0ae52a","last_reissued_at":"2026-07-04T16:55:36.921511Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:36.921511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0503063","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tWA+iVMydNSk/OpMk14liAEQC+TuJmByWtwqCiErGqLCl6dmj97tKJ9YSdgY4c5yhDfOql6u1k+xBsGaa7tYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:08:54.592217Z"},"content_sha256":"9b817d96720f34f5f4ea814619a57a36d197031e5e84ffd648ec947ef741b68c","schema_version":"1.0","event_id":"sha256:9b817d96720f34f5f4ea814619a57a36d197031e5e84ffd648ec947ef741b68c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:AI6VUODOIS3WYEQD2X6OQZQATM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Gluon Collinear Limits from MHV diagrams","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"E.W.N. Glover, Ippp), P. Marquard (Durham U., T.G. Birthwright, V.V. Khoze","submitted_at":"2005-03-07T17:02:36Z","abstract_excerpt":"We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorization formula to derive timelike splitting functions that are valid for specific numbers of negative helicity gluons and an arbitrary number of positive helicity gluons (or vice versa). As an example we present new results describing the collinear limits of up to six gluons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503063","kind":"arxiv","version":1},"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/0503063/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":"2026-07-04T16:55:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T61DPazR4LxsWYXnqYK4u/Y3QYIEe3X55O2e3flVuY439ZJ6EPp+wRPLXhVuniZTtyLAhGG0yVQW2/9Pd0htDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T01:08:54.592726Z"},"content_sha256":"674f44990e1fa695e6a3e08ce4228cc33f0f4be9e1bb14db8ce438a3a9f2eabf","schema_version":"1.0","event_id":"sha256:674f44990e1fa695e6a3e08ce4228cc33f0f4be9e1bb14db8ce438a3a9f2eabf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AI6VUODOIS3WYEQD2X6OQZQATM/bundle.json","state_url":"https://pith.science/pith/AI6VUODOIS3WYEQD2X6OQZQATM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AI6VUODOIS3WYEQD2X6OQZQATM/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":"2026-08-19T01:08:54Z","links":{"resolver":"https://pith.science/pith/AI6VUODOIS3WYEQD2X6OQZQATM","bundle":"https://pith.science/pith/AI6VUODOIS3WYEQD2X6OQZQATM/bundle.json","state":"https://pith.science/pith/AI6VUODOIS3WYEQD2X6OQZQATM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AI6VUODOIS3WYEQD2X6OQZQATM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:AI6VUODOIS3WYEQD2X6OQZQATM","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":"539c08609bf7eb6da647b0d0f647bf08dce66cbbf86c452373e6148afa6d178a","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T17:02:36Z","title_canon_sha256":"eabfd2ca95b99353287ef4d7f99023269ac1e0d4061564b593d11d43ed768959"},"schema_version":"1.0","source":{"id":"hep-ph/0503063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0503063","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0503063v1","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0503063","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_12","alias_value":"AI6VUODOIS3W","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_16","alias_value":"AI6VUODOIS3WYEQD","created_at":"2026-07-04T16:55:36Z"},{"alias_kind":"pith_short_8","alias_value":"AI6VUODO","created_at":"2026-07-04T16:55:36Z"}],"graph_snapshots":[{"event_id":"sha256:674f44990e1fa695e6a3e08ce4228cc33f0f4be9e1bb14db8ce438a3a9f2eabf","target":"graph","created_at":"2026-07-04T16:55:36Z","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/0503063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorization formula to derive timelike splitting functions that are valid for specific numbers of negative helicity gluons and an arbitrary number of positive helicity gluons (or vice versa). As an example we present new results describing the collinear limits of up to six gluons.","authors_text":"E.W.N. Glover, Ippp), P. Marquard (Durham U., T.G. Birthwright, V.V. Khoze","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T17:02:36Z","title":"Multi-Gluon Collinear Limits from MHV diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0503063","kind":"arxiv","version":1},"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":"sha256:9b817d96720f34f5f4ea814619a57a36d197031e5e84ffd648ec947ef741b68c","target":"record","created_at":"2026-07-04T16:55:36Z","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":"539c08609bf7eb6da647b0d0f647bf08dce66cbbf86c452373e6148afa6d178a","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-03-07T17:02:36Z","title_canon_sha256":"eabfd2ca95b99353287ef4d7f99023269ac1e0d4061564b593d11d43ed768959"},"schema_version":"1.0","source":{"id":"hep-ph/0503063","kind":"arxiv","version":1}},"canonical_sha256":"023d5a386e44b76c1203d5fce866009b26d6ed11ed60a428d0c109d17d0ae52a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"023d5a386e44b76c1203d5fce866009b26d6ed11ed60a428d0c109d17d0ae52a","first_computed_at":"2026-07-04T16:55:36.921511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:55:36.921511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AUUL1YBOwQMgMrpHSwaC8fESZcGeJib/c47PnepC9nJkmD1CXWmYdi/6h81F33YM1uai2HmzZDJ7JVULhqkMBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:55:36.921860Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0503063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b817d96720f34f5f4ea814619a57a36d197031e5e84ffd648ec947ef741b68c","sha256:674f44990e1fa695e6a3e08ce4228cc33f0f4be9e1bb14db8ce438a3a9f2eabf"],"state_sha256":"9e99bc57ddfb86c6e1817b7e41221efde28e219e1a2a20e4d5d630060d5502b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/yGkT8rjE874M1jnq7g7pHQvQJnzYJtC9WZ98z/lQ/NEZ1VlNYIMBIPXzCdNOUprtlbSi/KTJgArspZzuYHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T01:08:54.598116Z","bundle_sha256":"3c7dc53cedd79e7fe865c8a3058cb37d47ad5d7d0e404883a181fad0d1c02ee0"}}