{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YL6V4LZUXY3AFBNKYM3RBH5QIR","short_pith_number":"pith:YL6V4LZU","canonical_record":{"source":{"id":"1807.05145","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-13T15:41:15Z","cross_cats_sorted":[],"title_canon_sha256":"48a6401e1de0c6523eae1b168201ed1b78acabc57b00ced29e25d3d3f57c1a60","abstract_canon_sha256":"119aa28dbf48ae3de522f5dee1977a0e392ecb71abc4d4caed86e1ace68d61a0"},"schema_version":"1.0"},"canonical_sha256":"c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd","source":{"kind":"arxiv","id":"1807.05145","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05145","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05145v2","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05145","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"YL6V4LZUXY3A","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YL6V4LZUXY3AFBNK","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YL6V4LZU","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YL6V4LZUXY3AFBNKYM3RBH5QIR","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05145","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-13T15:41:15Z","cross_cats_sorted":[],"title_canon_sha256":"48a6401e1de0c6523eae1b168201ed1b78acabc57b00ced29e25d3d3f57c1a60","abstract_canon_sha256":"119aa28dbf48ae3de522f5dee1977a0e392ecb71abc4d4caed86e1ace68d61a0"},"schema_version":"1.0"},"canonical_sha256":"c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:36.601994Z","signature_b64":"PcLyG3O4cUfjiKHp1QJaKaik2oDN45EBjd2h4HLhN7OiiTyVxrT4+FE6hbzyrhaWW6QtARccAmADo3HM6W1cDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd","last_reissued_at":"2026-05-18T00:10:36.601362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:36.601362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05145","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":"2026-05-18T00:10:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gxUPvCy715QwIzSUY2kpKHhqE573k30iCtMzOpUyJ4VMzDO9HbtZ3sLV6Hl8eZSnSmT6Or4mN2xEADM48yABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:23:38.410306Z"},"content_sha256":"1373b4bd8359a2e03157663351b560ee3f29234993324f53d66526fd6d318993","schema_version":"1.0","event_id":"sha256:1373b4bd8359a2e03157663351b560ee3f29234993324f53d66526fd6d318993"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YL6V4LZUXY3AFBNKYM3RBH5QIR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-loop results for the cusp anomalous dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.G.Grozin, J.M.Henn, M.Stahlhofen, R.Br\\\"user","submitted_at":"2018-07-13T15:41:15Z","abstract_excerpt":"We review the current status of calculations of the HQET field anomalous dimension and the cusp anomalous dimension. In particular, we give the results at 4 loops for the quartic Casimir contribution, and for the full QED case, up to $\\varphi^6$ in the small angle expansion. Furthermore, we discuss the leading terms in the anti-parallel lines limit at four loops."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05145","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":""},"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":"2026-05-18T00:10:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ARKGkp5e06Cc3uvQ1iQYYd6PbeSDqxzLWpDgxocdFo5EgT2w2SED5XYVQB+jJXfNNWClewjxEIaKJQGvbW99Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:23:38.410942Z"},"content_sha256":"c92178454155d8fd95199b81a7edc25d5f62a57981182035f078dc34ee689acf","schema_version":"1.0","event_id":"sha256:c92178454155d8fd95199b81a7edc25d5f62a57981182035f078dc34ee689acf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/bundle.json","state_url":"https://pith.science/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/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":"2026-05-25T15:23:38Z","links":{"resolver":"https://pith.science/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR","bundle":"https://pith.science/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/bundle.json","state":"https://pith.science/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YL6V4LZUXY3AFBNKYM3RBH5QIR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YL6V4LZUXY3AFBNKYM3RBH5QIR","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":"119aa28dbf48ae3de522f5dee1977a0e392ecb71abc4d4caed86e1ace68d61a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-13T15:41:15Z","title_canon_sha256":"48a6401e1de0c6523eae1b168201ed1b78acabc57b00ced29e25d3d3f57c1a60"},"schema_version":"1.0","source":{"id":"1807.05145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05145","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05145v2","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05145","created_at":"2026-05-18T00:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"YL6V4LZUXY3A","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YL6V4LZUXY3AFBNK","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YL6V4LZU","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:c92178454155d8fd95199b81a7edc25d5f62a57981182035f078dc34ee689acf","target":"graph","created_at":"2026-05-18T00:10:36Z","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":"We review the current status of calculations of the HQET field anomalous dimension and the cusp anomalous dimension. In particular, we give the results at 4 loops for the quartic Casimir contribution, and for the full QED case, up to $\\varphi^6$ in the small angle expansion. Furthermore, we discuss the leading terms in the anti-parallel lines limit at four loops.","authors_text":"A.G.Grozin, J.M.Henn, M.Stahlhofen, R.Br\\\"user","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-13T15:41:15Z","title":"Four-loop results for the cusp anomalous dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05145","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":"sha256:1373b4bd8359a2e03157663351b560ee3f29234993324f53d66526fd6d318993","target":"record","created_at":"2026-05-18T00:10:36Z","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":"119aa28dbf48ae3de522f5dee1977a0e392ecb71abc4d4caed86e1ace68d61a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-13T15:41:15Z","title_canon_sha256":"48a6401e1de0c6523eae1b168201ed1b78acabc57b00ced29e25d3d3f57c1a60"},"schema_version":"1.0","source":{"id":"1807.05145","kind":"arxiv","version":2}},"canonical_sha256":"c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2fd5e2f34be360285aac337109fb044740079f77de87d8fc9793c82c94b7ebd","first_computed_at":"2026-05-18T00:10:36.601362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:36.601362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PcLyG3O4cUfjiKHp1QJaKaik2oDN45EBjd2h4HLhN7OiiTyVxrT4+FE6hbzyrhaWW6QtARccAmADo3HM6W1cDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:36.601994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1373b4bd8359a2e03157663351b560ee3f29234993324f53d66526fd6d318993","sha256:c92178454155d8fd95199b81a7edc25d5f62a57981182035f078dc34ee689acf"],"state_sha256":"130a6ccaed19fcf7e22c479732d037faf4063ec8572ffac6015a03c5a1313576"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"httEfwJecSOgm9xQZJ/vxwjA+o0afppD8PVL2fAQqciljNnYqPRYS3K6T5P3Jyp+qErolzBoNbsUH8o4vxw5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:23:38.414409Z","bundle_sha256":"8f68b063ffc6c1ba9a8aeb618c028b24fffcd9d2f8a920529dc8d737f49a7617"}}