{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MN5MCBZARCH6PKGGGFJT4SNYNP","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":"2223ae630426f6c2b1f052173f3ce87031760160754de875dd236398056926cd","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-16T07:18:29Z","title_canon_sha256":"71c1d33e21eccf0b0e43a98f0d629c033097c2c442a6662dc9811938bcc5180c"},"schema_version":"1.0","source":{"id":"1705.05558","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05558","created_at":"2026-05-18T00:25:42Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05558v3","created_at":"2026-05-18T00:25:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05558","created_at":"2026-05-18T00:25:42Z"},{"alias_kind":"pith_short_12","alias_value":"MN5MCBZARCH6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MN5MCBZARCH6PKGG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MN5MCBZA","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:0a20f8feac8ad7aac080ec4ef9cabdd1869065a9710ba0a62865e0f27546f184","target":"graph","created_at":"2026-05-18T00:25:42Z","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 show how the use of standard perturbative RG in dimensional regularization allows for a renormalization group based computation of both the spectrum and a family of coefficients of the operator product expansion (OPE) for a given universality class. The task is greatly simplified by a straightforward generalization of perturbation theory to a functional perturbative RG approach. We illustrate our procedure in the $\\epsilon$-expansion by obtaining the next-to-leading corrections for the spectrum and the leading corrections for the OPE coefficients of Ising and Lee-Yang universality classes a","authors_text":"Alessandro Codello, Gian Paolo Vacca, Mahmoud Safari, Omar Zanusso","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-16T07:18:29Z","title":"Functional perturbative RG and CFT data in the $\\epsilon$-expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05558","kind":"arxiv","version":3},"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:e5c16fef6fa3434014276c5a73401a9ad043d8fd787e63239096d248d2c68ec9","target":"record","created_at":"2026-05-18T00:25:42Z","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":"2223ae630426f6c2b1f052173f3ce87031760160754de875dd236398056926cd","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-16T07:18:29Z","title_canon_sha256":"71c1d33e21eccf0b0e43a98f0d629c033097c2c442a6662dc9811938bcc5180c"},"schema_version":"1.0","source":{"id":"1705.05558","kind":"arxiv","version":3}},"canonical_sha256":"637ac10720888fe7a8c631533e49b86bd874d3a9442e2524c6af1e844f21ef9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"637ac10720888fe7a8c631533e49b86bd874d3a9442e2524c6af1e844f21ef9d","first_computed_at":"2026-05-18T00:25:42.122431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:42.122431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4UU9kAxanqvcmhz+SDZU1/GrOoxu8DU0HQABT3FcHmdIQ2xz6Sx0VWOxG70BhUPiKenQLeBixnBl3UlfAeaqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:42.123113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05558","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5c16fef6fa3434014276c5a73401a9ad043d8fd787e63239096d248d2c68ec9","sha256:0a20f8feac8ad7aac080ec4ef9cabdd1869065a9710ba0a62865e0f27546f184"],"state_sha256":"71cc03141da5ec71b83775552049e44ebad436bf55c7a74d2ba6632a8901900e"}