{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:I3HMZULZEGKLHWRV2KG5UAT5MT","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":"ab007c647dd7281446867c47820a91825f26d5a8402720c7f8574f4cd057952d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-09-16T14:09:50Z","title_canon_sha256":"87ef12c3fb8b30a0b0c1ad20ab38d1ea131a51fc59e5b0c9b279e74a80a2e767"},"schema_version":"1.0","source":{"id":"2409.10303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.10303","created_at":"2026-07-05T09:07:38Z"},{"alias_kind":"arxiv_version","alias_value":"2409.10303v1","created_at":"2026-07-05T09:07:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.10303","created_at":"2026-07-05T09:07:38Z"},{"alias_kind":"pith_short_12","alias_value":"I3HMZULZEGKL","created_at":"2026-07-05T09:07:38Z"},{"alias_kind":"pith_short_16","alias_value":"I3HMZULZEGKLHWRV","created_at":"2026-07-05T09:07:38Z"},{"alias_kind":"pith_short_8","alias_value":"I3HMZULZ","created_at":"2026-07-05T09:07:38Z"}],"graph_snapshots":[{"event_id":"sha256:ee8489c9bc35c5ce14326d96dd69eed6745465391ea4d9fe1990c2fef92f1307","target":"graph","created_at":"2026-07-05T09:07:38Z","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/2409.10303/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Anomalous dimensions of twist-two operators govern the scale evolution of parton distribution functions. For off-shell external states, the physical twist-two operators mix with unknown gauge-variant operators under renormalization. In this talk, we apply the method proposed by us in~\\cite{Gehrmann:2023ksf} to compute all gauge-variant one-loop counterterm Feynman rules with five legs, which enter the determination of the four-loop splitting functions in QCD.","authors_text":"Andreas von Manteuffel, Thomas Gehrmann, Tong-Zhi Yang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-09-16T14:09:50Z","title":"Leading Twist-Two Gauge-Variant Counterterms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.10303","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:a67cfd40ee550d680d2ac1aba359508e0b12e9b6db9d61d01e12577af3a38a79","target":"record","created_at":"2026-07-05T09:07:38Z","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":"ab007c647dd7281446867c47820a91825f26d5a8402720c7f8574f4cd057952d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-09-16T14:09:50Z","title_canon_sha256":"87ef12c3fb8b30a0b0c1ad20ab38d1ea131a51fc59e5b0c9b279e74a80a2e767"},"schema_version":"1.0","source":{"id":"2409.10303","kind":"arxiv","version":1}},"canonical_sha256":"46ceccd1792194b3da35d28dda027d64f3b3a65aaa1ee2bb5dc5630ea53e353e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46ceccd1792194b3da35d28dda027d64f3b3a65aaa1ee2bb5dc5630ea53e353e","first_computed_at":"2026-07-05T09:07:38.170852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:07:38.170852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bU0Vke/YHrJDrzmzNZv/ZJCiV//sWe8qWjJdzEiMXiHagox/19C6fxrwGxd+ya5vNkSLnEQH/NUhmt9JTa4dAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:07:38.171216Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.10303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a67cfd40ee550d680d2ac1aba359508e0b12e9b6db9d61d01e12577af3a38a79","sha256:ee8489c9bc35c5ce14326d96dd69eed6745465391ea4d9fe1990c2fef92f1307"],"state_sha256":"475046603b8abcd76807915122e7c8047c30b595a6b74acdf1bba5775e39ee73"}