{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:LNEV6R3PMO33CSGO4EGUCGO6KU","short_pith_number":"pith:LNEV6R3P","canonical_record":{"source":{"id":"2006.10534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-18T13:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"d340abc6785d3d8b147edb2e95edb6b62cb708149faa30fe632b850e5260ea56","abstract_canon_sha256":"95248fe1df71d50049e02aa6f7ec63228dd83b69d12aeaebf81103421290ed6d"},"schema_version":"1.0"},"canonical_sha256":"5b495f476f63b7b148cee10d4119de5534172d0fcfbdc4c07cf8f1bb58c4d0a2","source":{"kind":"arxiv","id":"2006.10534","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.10534","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"arxiv_version","alias_value":"2006.10534v2","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.10534","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_12","alias_value":"LNEV6R3PMO33","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_16","alias_value":"LNEV6R3PMO33CSGO","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_8","alias_value":"LNEV6R3P","created_at":"2026-07-05T02:17:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:LNEV6R3PMO33CSGO4EGUCGO6KU","target":"record","payload":{"canonical_record":{"source":{"id":"2006.10534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-18T13:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"d340abc6785d3d8b147edb2e95edb6b62cb708149faa30fe632b850e5260ea56","abstract_canon_sha256":"95248fe1df71d50049e02aa6f7ec63228dd83b69d12aeaebf81103421290ed6d"},"schema_version":"1.0"},"canonical_sha256":"5b495f476f63b7b148cee10d4119de5534172d0fcfbdc4c07cf8f1bb58c4d0a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:17:26.108230Z","signature_b64":"Js+7MLmg4HSza4oKIb8XF5ODT26sg01otdgmxk1jy2MFpPc5UglGl+s3qXWLkDnZ2JR/zB/fO+aGvBGC6MJpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b495f476f63b7b148cee10d4119de5534172d0fcfbdc4c07cf8f1bb58c4d0a2","last_reissued_at":"2026-07-05T02:17:26.107732Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:17:26.107732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.10534","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":"2026-07-05T02:17:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NkQuitKFL/M6UY8Ox7zhEboz7wt/c+JGE3JpfwMxBnp+w01HDEvkix+NT/mGPD+UaU3N4A1OMlxprb+uLz5kBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:37:49.801120Z"},"content_sha256":"280747ac2b23864c5b333dacf93d235c05e3c3a92c0421c7186969a23bad8852","schema_version":"1.0","event_id":"sha256:280747ac2b23864c5b333dacf93d235c05e3c3a92c0421c7186969a23bad8852"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:LNEV6R3PMO33CSGO4EGUCGO6KU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hao Chen, Hua Xing Zhu, Tong-Zhi Yang, Yu Jiao Zhu","submitted_at":"2020-06-18T13:42:15Z","abstract_excerpt":"It is well-known that direct analytic continuation of DGLAP evolution kernel (splitting functions) from space-like to time-like kinematics breaks down at three loops. We identify the origin of this breakdown as splitting functions are not analytic function of external momenta. However, splitting functions can be constructed from square of (generalized) splitting amplitudes. We establish the rule of analytic continuation for splitting amplitudes, and use them to determine the analytic continuation of certain holomorphic and anti-holomorphic part of splitting functions and transverse-momentum de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.10534","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/2006.10534/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":"2026-07-05T02:17:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErDZ5/hpV9oigEUyAV7lqz3jKCMg+mxHQmVznv0GoABt5g9ZCMYUiKtfJyeAv89XjkwkU1VDgT8W0M3abns7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:37:49.801753Z"},"content_sha256":"5c465adcdc118ae1e1e11915197f27d3c4fbd2007c5f8bade9c0ee7ef5569d14","schema_version":"1.0","event_id":"sha256:5c465adcdc118ae1e1e11915197f27d3c4fbd2007c5f8bade9c0ee7ef5569d14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/bundle.json","state_url":"https://pith.science/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/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":"2026-08-07T18:37:49Z","links":{"resolver":"https://pith.science/pith/LNEV6R3PMO33CSGO4EGUCGO6KU","bundle":"https://pith.science/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/bundle.json","state":"https://pith.science/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LNEV6R3PMO33CSGO4EGUCGO6KU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LNEV6R3PMO33CSGO4EGUCGO6KU","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":"95248fe1df71d50049e02aa6f7ec63228dd83b69d12aeaebf81103421290ed6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-18T13:42:15Z","title_canon_sha256":"d340abc6785d3d8b147edb2e95edb6b62cb708149faa30fe632b850e5260ea56"},"schema_version":"1.0","source":{"id":"2006.10534","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.10534","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"arxiv_version","alias_value":"2006.10534v2","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.10534","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_12","alias_value":"LNEV6R3PMO33","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_16","alias_value":"LNEV6R3PMO33CSGO","created_at":"2026-07-05T02:17:26Z"},{"alias_kind":"pith_short_8","alias_value":"LNEV6R3P","created_at":"2026-07-05T02:17:26Z"}],"graph_snapshots":[{"event_id":"sha256:5c465adcdc118ae1e1e11915197f27d3c4fbd2007c5f8bade9c0ee7ef5569d14","target":"graph","created_at":"2026-07-05T02:17:26Z","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/2006.10534/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well-known that direct analytic continuation of DGLAP evolution kernel (splitting functions) from space-like to time-like kinematics breaks down at three loops. We identify the origin of this breakdown as splitting functions are not analytic function of external momenta. However, splitting functions can be constructed from square of (generalized) splitting amplitudes. We establish the rule of analytic continuation for splitting amplitudes, and use them to determine the analytic continuation of certain holomorphic and anti-holomorphic part of splitting functions and transverse-momentum de","authors_text":"Hao Chen, Hua Xing Zhu, Tong-Zhi Yang, Yu Jiao Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-18T13:42:15Z","title":"Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.10534","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":"sha256:280747ac2b23864c5b333dacf93d235c05e3c3a92c0421c7186969a23bad8852","target":"record","created_at":"2026-07-05T02:17:26Z","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":"95248fe1df71d50049e02aa6f7ec63228dd83b69d12aeaebf81103421290ed6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-06-18T13:42:15Z","title_canon_sha256":"d340abc6785d3d8b147edb2e95edb6b62cb708149faa30fe632b850e5260ea56"},"schema_version":"1.0","source":{"id":"2006.10534","kind":"arxiv","version":2}},"canonical_sha256":"5b495f476f63b7b148cee10d4119de5534172d0fcfbdc4c07cf8f1bb58c4d0a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b495f476f63b7b148cee10d4119de5534172d0fcfbdc4c07cf8f1bb58c4d0a2","first_computed_at":"2026-07-05T02:17:26.107732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:17:26.107732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Js+7MLmg4HSza4oKIb8XF5ODT26sg01otdgmxk1jy2MFpPc5UglGl+s3qXWLkDnZ2JR/zB/fO+aGvBGC6MJpAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:17:26.108230Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.10534","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:280747ac2b23864c5b333dacf93d235c05e3c3a92c0421c7186969a23bad8852","sha256:5c465adcdc118ae1e1e11915197f27d3c4fbd2007c5f8bade9c0ee7ef5569d14"],"state_sha256":"286aee9f3d9377ef7c6f351398effdc0137c76dd08aec8e036b677d39e9272b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WF9zEUU6IAf9uKrDTZg1A2tPG/Vk8lSZe5OBmcLY5WFTZ2qBP6yXFYWEHET8LUQofSGf5CLLDlcOGXyipELqDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:37:49.805841Z","bundle_sha256":"55848ea7acf1b84daff27dc35f5244ac76cc61cbd316115888b9064befa2dfc5"}}