{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:AKF2PZAZFYXHS3FGEHVPLZVHDZ","short_pith_number":"pith:AKF2PZAZ","canonical_record":{"source":{"id":"hep-ph/0505219","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-05-25T16:19:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fffee6aba0e0ea8325727534305a13f1dfa511e7906486df2e3de9771e6af8eb","abstract_canon_sha256":"7ff6bd685e077a339a02d933e9a75dcbcfa258cb00b4b52c07863b079a6fad36"},"schema_version":"1.0"},"canonical_sha256":"028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7","source":{"kind":"arxiv","id":"hep-ph/0505219","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0505219","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0505219v1","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0505219","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"AKF2PZAZFYXH","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_16","alias_value":"AKF2PZAZFYXHS3FG","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_8","alias_value":"AKF2PZAZ","created_at":"2026-07-04T16:55:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:AKF2PZAZFYXHS3FGEHVPLZVHDZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0505219","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-05-25T16:19:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"fffee6aba0e0ea8325727534305a13f1dfa511e7906486df2e3de9771e6af8eb","abstract_canon_sha256":"7ff6bd685e077a339a02d933e9a75dcbcfa258cb00b4b52c07863b079a6fad36"},"schema_version":"1.0"},"canonical_sha256":"028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:42.063697Z","signature_b64":"+Qwt+In8zbLql1K9VUQIeRWwuGRJIl0OlrVLuY4p2EZjmONurMo+zOL1As48uZJckI5gBHFKevNejVxtLDSBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7","last_reissued_at":"2026-07-04T16:55:42.063348Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:42.063348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0505219","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":"2026-07-04T16:55:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NBIcVSc9nGjp8D2zg+ZY+KFD3cSCAvs1OX7kCLJ+M9TsLgghtMEGIwwmmtr53jMzQCHGJWHeluYLeaLr2dXIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:11:08.850039Z"},"content_sha256":"c573b840201d1892e255609124b58bf7c4959a00936f8794f5b5f22f44c1e9fc","schema_version":"1.0","event_id":"sha256:c573b840201d1892e255609124b58bf7c4959a00936f8794f5b5f22f44c1e9fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:AKF2PZAZFYXHS3FGEHVPLZVHDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collinear Limits in QCD from MHV Rules","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"E.W.N. Glover, P. Marquard, T.G. Birthwright, V.V. Khoze","submitted_at":"2005-05-25T16:19:58Z","abstract_excerpt":"We consider multi-parton collinear limits of QCD amplitudes at tree level. Using the MHV formalism we specify the underlying analytic structure of the resulting multi-collinear splitting functions. We derive general results for these splitting functions that are valid for specific numbers of negative helicity partons and an arbitrary number of positive helicity partons (or vice versa)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0505219","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/0505219/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":"2026-07-04T16:55:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qev6XrzHS8xW9zsTEO/6oPT50xW2RieXgCiBIzVLUvkSybWaootACw/0tXbRcR6GsIkMLRHtxLRZte932oC9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:11:08.850538Z"},"content_sha256":"e175e59c6c019a0b483e8bc1fc7f87fe0fd44c3d638865f6e6e8bbd532424284","schema_version":"1.0","event_id":"sha256:e175e59c6c019a0b483e8bc1fc7f87fe0fd44c3d638865f6e6e8bbd532424284"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/bundle.json","state_url":"https://pith.science/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/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":"2026-08-05T07:11:08Z","links":{"resolver":"https://pith.science/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ","bundle":"https://pith.science/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/bundle.json","state":"https://pith.science/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKF2PZAZFYXHS3FGEHVPLZVHDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:AKF2PZAZFYXHS3FGEHVPLZVHDZ","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":"7ff6bd685e077a339a02d933e9a75dcbcfa258cb00b4b52c07863b079a6fad36","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-05-25T16:19:58Z","title_canon_sha256":"fffee6aba0e0ea8325727534305a13f1dfa511e7906486df2e3de9771e6af8eb"},"schema_version":"1.0","source":{"id":"hep-ph/0505219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0505219","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0505219v1","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0505219","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"AKF2PZAZFYXH","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_16","alias_value":"AKF2PZAZFYXHS3FG","created_at":"2026-07-04T16:55:42Z"},{"alias_kind":"pith_short_8","alias_value":"AKF2PZAZ","created_at":"2026-07-04T16:55:42Z"}],"graph_snapshots":[{"event_id":"sha256:e175e59c6c019a0b483e8bc1fc7f87fe0fd44c3d638865f6e6e8bbd532424284","target":"graph","created_at":"2026-07-04T16:55:42Z","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/0505219/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider multi-parton collinear limits of QCD amplitudes at tree level. Using the MHV formalism we specify the underlying analytic structure of the resulting multi-collinear splitting functions. We derive general results for these splitting functions that are valid for specific numbers of negative helicity partons and an arbitrary number of positive helicity partons (or vice versa).","authors_text":"E.W.N. Glover, P. Marquard, T.G. Birthwright, V.V. Khoze","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-05-25T16:19:58Z","title":"Collinear Limits in QCD from MHV Rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0505219","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:c573b840201d1892e255609124b58bf7c4959a00936f8794f5b5f22f44c1e9fc","target":"record","created_at":"2026-07-04T16:55:42Z","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":"7ff6bd685e077a339a02d933e9a75dcbcfa258cb00b4b52c07863b079a6fad36","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2005-05-25T16:19:58Z","title_canon_sha256":"fffee6aba0e0ea8325727534305a13f1dfa511e7906486df2e3de9771e6af8eb"},"schema_version":"1.0","source":{"id":"hep-ph/0505219","kind":"arxiv","version":1}},"canonical_sha256":"028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"028ba7e4192e2e796ca621eaf5e6a71e4683db264b567dc4d92384cdf1d5d5f7","first_computed_at":"2026-07-04T16:55:42.063348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:55:42.063348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Qwt+In8zbLql1K9VUQIeRWwuGRJIl0OlrVLuY4p2EZjmONurMo+zOL1As48uZJckI5gBHFKevNejVxtLDSBDg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:55:42.063697Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0505219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c573b840201d1892e255609124b58bf7c4959a00936f8794f5b5f22f44c1e9fc","sha256:e175e59c6c019a0b483e8bc1fc7f87fe0fd44c3d638865f6e6e8bbd532424284"],"state_sha256":"2f4d5f62263f11bc17c1915d1e9c287c7092837b109c1454ea08a814bb43d4e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YUXDH9uheheAMfteC0kMguRN0esf12V/K5ojuUjOzWt2NBpYI/QXIQLXVw+Rg7md8fLq+9NOEZ4Z9TF/zqGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T07:11:08.853824Z","bundle_sha256":"c2bf6c11609d5542338be1e8da3fa4a39ff1f2708b50c5dca4ec78880dbe8d89"}}