{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6D2Q7T5VOJI4QOFXQYNCCNXJNL","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":"c2d74708cd90200e86888ac59f3aa0bef9b2ab3642b2ca9f2f7c30026021aa9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-24T08:44:56Z","title_canon_sha256":"9651bd442565f5d9fe72309f6ce737dd60a643dcdfad05c82b2ae42d2a1382b1"},"schema_version":"1.0","source":{"id":"1704.07087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07087","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07087v1","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07087","created_at":"2026-05-18T00:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"6D2Q7T5VOJI4","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6D2Q7T5VOJI4QOFX","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6D2Q7T5V","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:79412174bf3d5c26b8e24536207355c50e8b9416f946c361505aeedcb415a3b4","target":"graph","created_at":"2026-05-18T00:19:30Z","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":"The effect of the $\\ord{\\partial^4}$ terms of the gradient expansion on anomalous dimension $\\eta$ and the correlation length's critical exponent $\\nu$ of the Wilson-Fisher fixed point has been determined for the Euclidean $O(N)$ model for $N=1$ and the number of dimensions $2< d<4$ as well as for $N\\ge 2$ and $d=3$. Wetterich's effective average action renormalization group method is used with field-independent derivative couplings and Litim's optimized regulator. It is shown that the critical theory for $N\\ge 2$ is well approximated by the effective average action preserving $O(N)$ symmetry ","authors_text":"K. Sailer, S. Nagy, Z. Peli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-24T08:44:56Z","title":"Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in $O(N)$ models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07087","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:b264e0128d9232aa59c1501f2928814433f42664d223408ff985098e05359f61","target":"record","created_at":"2026-05-18T00:19:30Z","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":"c2d74708cd90200e86888ac59f3aa0bef9b2ab3642b2ca9f2f7c30026021aa9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-24T08:44:56Z","title_canon_sha256":"9651bd442565f5d9fe72309f6ce737dd60a643dcdfad05c82b2ae42d2a1382b1"},"schema_version":"1.0","source":{"id":"1704.07087","kind":"arxiv","version":1}},"canonical_sha256":"f0f50fcfb57251c838b7861a2136e96ae2d46df8466094365ed672638e2977be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0f50fcfb57251c838b7861a2136e96ae2d46df8466094365ed672638e2977be","first_computed_at":"2026-05-18T00:19:30.705205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:30.705205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NuPceroBEPb+0JmM2DTPaFSvLvQjJ/qhtBeb19lB9/MxbjQT1EHMkaTiDd/v+h9NOv0EEhsVj+mIyoSBTjQOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:30.705662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.07087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b264e0128d9232aa59c1501f2928814433f42664d223408ff985098e05359f61","sha256:79412174bf3d5c26b8e24536207355c50e8b9416f946c361505aeedcb415a3b4"],"state_sha256":"f51e88d21a282f6dbcbba17388ab1cce828842b3c48fd8b8c93997aac9f2533f"}