{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KTJABVG4IDFL6INXEK7ANZFOHC","short_pith_number":"pith:KTJABVG4","canonical_record":{"source":{"id":"1311.0304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-01T21:00:41Z","cross_cats_sorted":[],"title_canon_sha256":"dc62651c6b53dcec9920fdf7bb10f67815bfb740e67525e5e66e97bc68ed175a","abstract_canon_sha256":"ab035e12d048b5428b884a76b89b3af795affa04fdf29defe8e8dc13b4bad24f"},"schema_version":"1.0"},"canonical_sha256":"54d200d4dc40cabf21b722be06e4ae388113f9e99f82a3df7fbe01ff16df7d88","source":{"kind":"arxiv","id":"1311.0304","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0304","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0304v1","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0304","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"KTJABVG4IDFL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KTJABVG4IDFL6INX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KTJABVG4","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KTJABVG4IDFL6INXEK7ANZFOHC","target":"record","payload":{"canonical_record":{"source":{"id":"1311.0304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-01T21:00:41Z","cross_cats_sorted":[],"title_canon_sha256":"dc62651c6b53dcec9920fdf7bb10f67815bfb740e67525e5e66e97bc68ed175a","abstract_canon_sha256":"ab035e12d048b5428b884a76b89b3af795affa04fdf29defe8e8dc13b4bad24f"},"schema_version":"1.0"},"canonical_sha256":"54d200d4dc40cabf21b722be06e4ae388113f9e99f82a3df7fbe01ff16df7d88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:39.810159Z","signature_b64":"6iozosFHvXfUWqndUySGZU1hqGRkzpyEeHBkJ6eiDY7uD7oi7dwTCBZcl5v2KIAWxmqtI6kbDv30XXsZMt5KBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d200d4dc40cabf21b722be06e4ae388113f9e99f82a3df7fbe01ff16df7d88","last_reissued_at":"2026-05-18T01:46:39.809453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:39.809453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.0304","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":"2026-05-18T01:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M0LgfWByXa2nJ1gEVMORXmETa/wHl4tQZgPaoUT8zv0v1O8cL3qUkf+RkVM0p1Nv7OBHRW1ehACm6wj1MFdhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:49:32.559157Z"},"content_sha256":"aef860ae21bd5519e7bb9073de04286781030520b9123633512ee8fb3889dd51","schema_version":"1.0","event_id":"sha256:aef860ae21bd5519e7bb9073de04286781030520b9123633512ee8fb3889dd51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KTJABVG4IDFL6INXEK7ANZFOHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-energy QCD amplitudes at two loops and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Giulio Falcioni, Leonardo Vernazza, Lorenzo Magnea, Vittorio Del Duca","submitted_at":"2013-11-01T21:00:41Z","abstract_excerpt":"Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic accuracy. We provide a framework to organize the calculation of parton amplitudes at leading power in t/s, in terms of factorizing and non-factorizing contributions. This allows us to give explicit expressions for the leading Reggeization-breaking terms in two-loop and three-loop quark and gluon amplitudes in QCD. In particular, using only infrared informati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0304","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":""},"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":"2026-05-18T01:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMC0xFZeDEBglETRjrx+tkpnqUhi6IH9bymyQyvluWpETv64zZcK0sr243H7zN6+IIrXqL0WSLZHkHfQCDagAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:49:32.559911Z"},"content_sha256":"52fb9b8e1e866d9607e5f2b90b0e21219cb0e2d1e577a45801965728047045da","schema_version":"1.0","event_id":"sha256:52fb9b8e1e866d9607e5f2b90b0e21219cb0e2d1e577a45801965728047045da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KTJABVG4IDFL6INXEK7ANZFOHC/bundle.json","state_url":"https://pith.science/pith/KTJABVG4IDFL6INXEK7ANZFOHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KTJABVG4IDFL6INXEK7ANZFOHC/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":"2026-06-05T21:49:32Z","links":{"resolver":"https://pith.science/pith/KTJABVG4IDFL6INXEK7ANZFOHC","bundle":"https://pith.science/pith/KTJABVG4IDFL6INXEK7ANZFOHC/bundle.json","state":"https://pith.science/pith/KTJABVG4IDFL6INXEK7ANZFOHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KTJABVG4IDFL6INXEK7ANZFOHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KTJABVG4IDFL6INXEK7ANZFOHC","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":"ab035e12d048b5428b884a76b89b3af795affa04fdf29defe8e8dc13b4bad24f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-01T21:00:41Z","title_canon_sha256":"dc62651c6b53dcec9920fdf7bb10f67815bfb740e67525e5e66e97bc68ed175a"},"schema_version":"1.0","source":{"id":"1311.0304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0304","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0304v1","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0304","created_at":"2026-05-18T01:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"KTJABVG4IDFL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KTJABVG4IDFL6INX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KTJABVG4","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:52fb9b8e1e866d9607e5f2b90b0e21219cb0e2d1e577a45801965728047045da","target":"graph","created_at":"2026-05-18T01:46:39Z","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"},"paper":{"abstract_excerpt":"Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic accuracy. We provide a framework to organize the calculation of parton amplitudes at leading power in t/s, in terms of factorizing and non-factorizing contributions. This allows us to give explicit expressions for the leading Reggeization-breaking terms in two-loop and three-loop quark and gluon amplitudes in QCD. In particular, using only infrared informati","authors_text":"Giulio Falcioni, Leonardo Vernazza, Lorenzo Magnea, Vittorio Del Duca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-01T21:00:41Z","title":"High-energy QCD amplitudes at two loops and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0304","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:aef860ae21bd5519e7bb9073de04286781030520b9123633512ee8fb3889dd51","target":"record","created_at":"2026-05-18T01:46:39Z","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":"ab035e12d048b5428b884a76b89b3af795affa04fdf29defe8e8dc13b4bad24f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-01T21:00:41Z","title_canon_sha256":"dc62651c6b53dcec9920fdf7bb10f67815bfb740e67525e5e66e97bc68ed175a"},"schema_version":"1.0","source":{"id":"1311.0304","kind":"arxiv","version":1}},"canonical_sha256":"54d200d4dc40cabf21b722be06e4ae388113f9e99f82a3df7fbe01ff16df7d88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54d200d4dc40cabf21b722be06e4ae388113f9e99f82a3df7fbe01ff16df7d88","first_computed_at":"2026-05-18T01:46:39.809453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:39.809453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6iozosFHvXfUWqndUySGZU1hqGRkzpyEeHBkJ6eiDY7uD7oi7dwTCBZcl5v2KIAWxmqtI6kbDv30XXsZMt5KBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:39.810159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aef860ae21bd5519e7bb9073de04286781030520b9123633512ee8fb3889dd51","sha256:52fb9b8e1e866d9607e5f2b90b0e21219cb0e2d1e577a45801965728047045da"],"state_sha256":"3c82af4e7afba5057bd5f1218724d68c6c159aff82567f1b7e458e7339028d0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AnVdIDfwPyec2sDaJq/yPPOAbqOaDCUR0vi39ETSw2PjC+FzB9chMLkrt/Cwmg04yYqIRh2/R6GCARhfAufFAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:49:32.564809Z","bundle_sha256":"ab0e076d25a84ef16ee275836419be4036f3a1450974037d4f455de8e2ade5a3"}}