{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L4TQBESBDHTREPQS4FMBR7KEYF","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":"659b3309ef8adad206c72455946608e0885d7cf418d95a2768fdc860a03d6623","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-07T20:56:44Z","title_canon_sha256":"ba0551bb79ba4d3f7b72c7360399260f1dcb5ef3472373ccf9424ae8f8530d8d"},"schema_version":"1.0","source":{"id":"1601.01666","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01666","created_at":"2026-05-18T01:13:56Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01666v2","created_at":"2026-05-18T01:13:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01666","created_at":"2026-05-18T01:13:56Z"},{"alias_kind":"pith_short_12","alias_value":"L4TQBESBDHTR","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L4TQBESBDHTREPQS","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L4TQBESB","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:e85487ff0c9f3525254f984a416fb5dfd2b81199cbe8fb8b309a1dffcd2e2955","target":"graph","created_at":"2026-05-18T01:13:56Z","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":"I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a conjecture for the $n$-loop cusp anomalous dimension in terms of the lower-loop results. I also present numerical results and simple approximate formulas for the cusp anomalous dimension relevant to top-quark production.","authors_text":"Nikolaos Kidonakis","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-07T20:56:44Z","title":"Three-loop cusp anomalous dimension and a conjecture for $n$ loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01666","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":"sha256:5edd7fbd9805221552fceeb7d3dd29d00627c1cc0a5960585be93c7329a13511","target":"record","created_at":"2026-05-18T01:13:56Z","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":"659b3309ef8adad206c72455946608e0885d7cf418d95a2768fdc860a03d6623","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-07T20:56:44Z","title_canon_sha256":"ba0551bb79ba4d3f7b72c7360399260f1dcb5ef3472373ccf9424ae8f8530d8d"},"schema_version":"1.0","source":{"id":"1601.01666","kind":"arxiv","version":2}},"canonical_sha256":"5f2700924119e7123e12e15818fd44c151518b164e6efbfbeabfe370177466aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f2700924119e7123e12e15818fd44c151518b164e6efbfbeabfe370177466aa","first_computed_at":"2026-05-18T01:13:56.544185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:56.544185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"83CkZEmQkP78DjdEMzUC7I0N5pQWhtqmQL3+YqRJ0FIeOeeOI+JQ/nNQuLzDfBRY0bOfQKFMziaqJdWmrN84Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:56.544677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01666","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5edd7fbd9805221552fceeb7d3dd29d00627c1cc0a5960585be93c7329a13511","sha256:e85487ff0c9f3525254f984a416fb5dfd2b81199cbe8fb8b309a1dffcd2e2955"],"state_sha256":"04c7aa56bf4ad45d8e911c0730e414e84c18e48921a2ae4b623eb85b6cfff4d2"}