{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:PHNGICDPLTVXYFDMXZ3G4KGBO2","short_pith_number":"pith:PHNGICDP","schema_version":"1.0","canonical_sha256":"79da64086f5ceb7c146cbe766e28c1768137e05d7ac5fdfc5926ea8f2191e225","source":{"kind":"arxiv","id":"2205.08228","version":1},"attestation_state":"computed","paper":{"title":"NNLO anomalous dimension matrix for twist-two flavor-singlet operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.N. Manashov, K.G. Chetyrkin, V.M. Braun","submitted_at":"2022-05-17T10:57:54Z","abstract_excerpt":"Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\\epsilon$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNL"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2205.08228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-05-17T10:57:54Z","cross_cats_sorted":[],"title_canon_sha256":"e739ee995bf4e9a298af9b0111c1668a9313d25c7ae9d8f7864f3bfa7de219b9","abstract_canon_sha256":"def7cddd1472a64d17d54c758912e019b9807b18051522ab0110764aefd70dba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:54:59.006658Z","signature_b64":"V1xHulmzypOBxjuuLL/X5ah7oyu5iFmRse0L7cGnCSAQdQ4ZlHsy4nhTe9XInsq9dEINk7FYb8VyyDWSeg7jBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79da64086f5ceb7c146cbe766e28c1768137e05d7ac5fdfc5926ea8f2191e225","last_reissued_at":"2026-07-05T04:54:59.006142Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:54:59.006142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"NNLO anomalous dimension matrix for twist-two flavor-singlet operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.N. Manashov, K.G. Chetyrkin, V.M. Braun","submitted_at":"2022-05-17T10:57:54Z","abstract_excerpt":"Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\\epsilon$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNL"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08228","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08228/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2205.08228","created_at":"2026-07-05T04:54:59.006207+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.08228v1","created_at":"2026-07-05T04:54:59.006207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08228","created_at":"2026-07-05T04:54:59.006207+00:00"},{"alias_kind":"pith_short_12","alias_value":"PHNGICDPLTVX","created_at":"2026-07-05T04:54:59.006207+00:00"},{"alias_kind":"pith_short_16","alias_value":"PHNGICDPLTVXYFDM","created_at":"2026-07-05T04:54:59.006207+00:00"},{"alias_kind":"pith_short_8","alias_value":"PHNGICDP","created_at":"2026-07-05T04:54:59.006207+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.08185","citing_title":"Kinematic power corrections to DVCS to twist-six accuracy","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2","json":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2.json","graph_json":"https://pith.science/api/pith-number/PHNGICDPLTVXYFDMXZ3G4KGBO2/graph.json","events_json":"https://pith.science/api/pith-number/PHNGICDPLTVXYFDMXZ3G4KGBO2/events.json","paper":"https://pith.science/paper/PHNGICDP"},"agent_actions":{"view_html":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2","download_json":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2.json","view_paper":"https://pith.science/paper/PHNGICDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.08228&json=true","fetch_graph":"https://pith.science/api/pith-number/PHNGICDPLTVXYFDMXZ3G4KGBO2/graph.json","fetch_events":"https://pith.science/api/pith-number/PHNGICDPLTVXYFDMXZ3G4KGBO2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2/action/storage_attestation","attest_author":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2/action/author_attestation","sign_citation":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2/action/citation_signature","submit_replication":"https://pith.science/pith/PHNGICDPLTVXYFDMXZ3G4KGBO2/action/replication_record"}},"created_at":"2026-07-05T04:54:59.006207+00:00","updated_at":"2026-07-05T04:54:59.006207+00:00"}