{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:6TAHX2OAEJ2KMXAQIXTFD5OO36","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":"81abe6ac928fd47abb1877989dc0f6f60750ab2502c81579c0e55a24ecc85e8f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-09-21T23:22:59Z","title_canon_sha256":"6e0b8d679231d170691b257f9da72265482fd3952cfa4e28a213d2ebad5f8883"},"schema_version":"1.0","source":{"id":"hep-ph/9909464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9909464","created_at":"2026-07-04T15:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9909464v2","created_at":"2026-07-04T15:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9909464","created_at":"2026-07-04T15:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"6TAHX2OAEJ2K","created_at":"2026-07-04T15:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"6TAHX2OAEJ2KMXAQ","created_at":"2026-07-04T15:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"6TAHX2OA","created_at":"2026-07-04T15:20:54Z"}],"graph_snapshots":[{"event_id":"sha256:6df6225d01fbb39c2e83abac5ff612628b542425358b4c18065209762b545577","target":"graph","created_at":"2026-07-04T15:20:54Z","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/9909464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the high-energy limit, we compute the gauge-invariant three-parton forward clusters, which in the BFKL theory constitute the tree parts of the NNLO impact factors. In the triple collinear limit, we obtain the polarized double-splitting functions. For the unpolarized and the spin-correlated double-splitting functions, our results agree with the ones obtained by Campbell-Glover and Catani-Grazzini, respectively. In addition, we compute the four-gluon forward cluster, which in the BFKL theory forms the tree part of the NNNLO gluonic impact factor. In the quadruple collinear limit we obtain the","authors_text":"Alberto Frizzo, Fabio Maltoni, Vittorio Del Duca","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-09-21T23:22:59Z","title":"Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9909464","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":"sha256:235b2ae6cbb359d708c4a21fc1e3b97a2d426b7dab50216b36bedd4d890b3e41","target":"record","created_at":"2026-07-04T15:20:54Z","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":"81abe6ac928fd47abb1877989dc0f6f60750ab2502c81579c0e55a24ecc85e8f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-09-21T23:22:59Z","title_canon_sha256":"6e0b8d679231d170691b257f9da72265482fd3952cfa4e28a213d2ebad5f8883"},"schema_version":"1.0","source":{"id":"hep-ph/9909464","kind":"arxiv","version":2}},"canonical_sha256":"f4c07be9c02274a65c1045e651f5cedf9125bf9ab53599efcb77eefa560f0f97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4c07be9c02274a65c1045e651f5cedf9125bf9ab53599efcb77eefa560f0f97","first_computed_at":"2026-07-04T15:20:54.613119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:54.613119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmC9j+dXYYqtqInISuJRpfRHBlUq52AbNgj6vE5KK68XiSowrNbnXXe/SFPPhUF5iA+HnFfZci2shXSbFFSFAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:54.613553Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9909464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:235b2ae6cbb359d708c4a21fc1e3b97a2d426b7dab50216b36bedd4d890b3e41","sha256:6df6225d01fbb39c2e83abac5ff612628b542425358b4c18065209762b545577"],"state_sha256":"e380a3795d9fe3d03a8661a3404ba320deea7cc860a1120f017a9e82a2d8fc71"}