{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:C5QQABMKVIA4Q3QEM3O367XDAX","short_pith_number":"pith:C5QQABMK","canonical_record":{"source":{"id":"2111.10664","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-20T19:21:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0596f6412247f3f300058d622f61ba8af596b1f3d68c1d0df4010f34a45887ed","abstract_canon_sha256":"84b0373abb9dcf5dc248d96691200d9c6b6f40ac6a36698e9dbaad35bc187811"},"schema_version":"1.0"},"canonical_sha256":"176100058aaa01c86e0466ddbf7ee305e12260ca818629a88281f646b7f9d3d4","source":{"kind":"arxiv","id":"2111.10664","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10664","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10664v2","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10664","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"C5QQABMKVIA4","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_16","alias_value":"C5QQABMKVIA4Q3QE","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_8","alias_value":"C5QQABMK","created_at":"2026-07-05T04:09:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:C5QQABMKVIA4Q3QEM3O367XDAX","target":"record","payload":{"canonical_record":{"source":{"id":"2111.10664","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-20T19:21:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0596f6412247f3f300058d622f61ba8af596b1f3d68c1d0df4010f34a45887ed","abstract_canon_sha256":"84b0373abb9dcf5dc248d96691200d9c6b6f40ac6a36698e9dbaad35bc187811"},"schema_version":"1.0"},"canonical_sha256":"176100058aaa01c86e0466ddbf7ee305e12260ca818629a88281f646b7f9d3d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:09:40.774291Z","signature_b64":"SedMw3QB6J3dDLMbfEKb6gqleNiZjAiXguTeP5iJ9JxwH9pCQXyuzJtrAJWloO4Bk0Sq78KFlhwZD921XX9tBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"176100058aaa01c86e0466ddbf7ee305e12260ca818629a88281f646b7f9d3d4","last_reissued_at":"2026-07-05T04:09:40.773875Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:09:40.773875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.10664","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":"2026-07-05T04:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4s7MmsCe1Ng1/8xrb/COLH+2oy1x52D9KyRWvpvO/QpmyYzkfnRXr5fH4IfNzW2hYAvclk5V+0nARAMrpKRqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T15:47:46.987169Z"},"content_sha256":"07290a593d9f0106e873235415937e626470fe9f336eae0d25157f1680cd8bbd","schema_version":"1.0","event_id":"sha256:07290a593d9f0106e873235415937e626470fe9f336eae0d25157f1680cd8bbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:C5QQABMKVIA4Q3QEM3O367XDAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Calum Milloy, Einan Gardi, Giulio Falcioni, Leonardo Vernazza, Niamh Maher","submitted_at":"2021-11-20T19:21:35Z","abstract_excerpt":"Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. New techniques are devised in order to derive the colour structure stemming from three-Reggeon exchange diagrams in terms of commutators of channel operators, obtaining results that are valid for any gauge group, and apply to scattered particles in any colour representation. We also elucidate "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10664","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/2111.10664/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":"2026-07-05T04:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IvsbsbGIw3NVVTgwQADrQA6JM4gYg1+I8S/08Il0lYqgWm/9dpnr9raRXnUFnj0AKrWigAld9AftqHq3nwMvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T15:47:46.988146Z"},"content_sha256":"65b99bf34a71b962acedc871cee92793b25b51a4027cca85a42995207da53f5e","schema_version":"1.0","event_id":"sha256:65b99bf34a71b962acedc871cee92793b25b51a4027cca85a42995207da53f5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C5QQABMKVIA4Q3QEM3O367XDAX/bundle.json","state_url":"https://pith.science/pith/C5QQABMKVIA4Q3QEM3O367XDAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C5QQABMKVIA4Q3QEM3O367XDAX/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":"2026-08-21T15:47:46Z","links":{"resolver":"https://pith.science/pith/C5QQABMKVIA4Q3QEM3O367XDAX","bundle":"https://pith.science/pith/C5QQABMKVIA4Q3QEM3O367XDAX/bundle.json","state":"https://pith.science/pith/C5QQABMKVIA4Q3QEM3O367XDAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C5QQABMKVIA4Q3QEM3O367XDAX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:C5QQABMKVIA4Q3QEM3O367XDAX","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":"84b0373abb9dcf5dc248d96691200d9c6b6f40ac6a36698e9dbaad35bc187811","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-20T19:21:35Z","title_canon_sha256":"0596f6412247f3f300058d622f61ba8af596b1f3d68c1d0df4010f34a45887ed"},"schema_version":"1.0","source":{"id":"2111.10664","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10664","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10664v2","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10664","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"C5QQABMKVIA4","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_16","alias_value":"C5QQABMKVIA4Q3QE","created_at":"2026-07-05T04:09:40Z"},{"alias_kind":"pith_short_8","alias_value":"C5QQABMK","created_at":"2026-07-05T04:09:40Z"}],"graph_snapshots":[{"event_id":"sha256:65b99bf34a71b962acedc871cee92793b25b51a4027cca85a42995207da53f5e","target":"graph","created_at":"2026-07-05T04:09:40Z","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/2111.10664/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. New techniques are devised in order to derive the colour structure stemming from three-Reggeon exchange diagrams in terms of commutators of channel operators, obtaining results that are valid for any gauge group, and apply to scattered particles in any colour representation. We also elucidate ","authors_text":"Calum Milloy, Einan Gardi, Giulio Falcioni, Leonardo Vernazza, Niamh Maher","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-20T19:21:35Z","title":"Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10664","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":"sha256:07290a593d9f0106e873235415937e626470fe9f336eae0d25157f1680cd8bbd","target":"record","created_at":"2026-07-05T04:09:40Z","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":"84b0373abb9dcf5dc248d96691200d9c6b6f40ac6a36698e9dbaad35bc187811","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-20T19:21:35Z","title_canon_sha256":"0596f6412247f3f300058d622f61ba8af596b1f3d68c1d0df4010f34a45887ed"},"schema_version":"1.0","source":{"id":"2111.10664","kind":"arxiv","version":2}},"canonical_sha256":"176100058aaa01c86e0466ddbf7ee305e12260ca818629a88281f646b7f9d3d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"176100058aaa01c86e0466ddbf7ee305e12260ca818629a88281f646b7f9d3d4","first_computed_at":"2026-07-05T04:09:40.773875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:09:40.773875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SedMw3QB6J3dDLMbfEKb6gqleNiZjAiXguTeP5iJ9JxwH9pCQXyuzJtrAJWloO4Bk0Sq78KFlhwZD921XX9tBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:09:40.774291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.10664","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07290a593d9f0106e873235415937e626470fe9f336eae0d25157f1680cd8bbd","sha256:65b99bf34a71b962acedc871cee92793b25b51a4027cca85a42995207da53f5e"],"state_sha256":"ec1016abb454dfdd2e5382a8bfd153268661b878c78cf6cd8cbf2898ddf3826b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1urvFc+rZHyUGMrS/0q8TRJWZNdIpL7v6vulItczNDkYGWpAclUWKLIJbiu300y/wiqNZ4fN8oGKQF12frUqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T15:47:46.994451Z","bundle_sha256":"c57b8895e36057902bf385028ee06096edc24f393f8581a182e56dca0c8ca746"}}