{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7A6YIZEEURDTDL7FPSYTY6FZ36","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":"14c249d8c1d13ae811da433c52dd7f2bf54405b60fed94c038cf9c80e5a7bb4e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T01:25:26Z","title_canon_sha256":"5e1dc5b957899f79b6140124551b05df1f3aa267d9bc6529dfe5802fa778faf3"},"schema_version":"1.0","source":{"id":"2005.10412","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.10412","created_at":"2026-07-05T01:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"2005.10412v3","created_at":"2026-07-05T01:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.10412","created_at":"2026-07-05T01:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"7A6YIZEEURDT","created_at":"2026-07-05T01:32:23Z"},{"alias_kind":"pith_short_16","alias_value":"7A6YIZEEURDTDL7F","created_at":"2026-07-05T01:32:23Z"},{"alias_kind":"pith_short_8","alias_value":"7A6YIZEE","created_at":"2026-07-05T01:32:23Z"}],"graph_snapshots":[{"event_id":"sha256:b86b0a5f6dc267dc30335cc53bff5a30fcda815d73ed8940d69d19e72b0e3397","target":"graph","created_at":"2026-07-05T01:32:23Z","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/2005.10412/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper an Exact Renormalization Group (ERG) equation is written for the the critical $O(N)$ model in $D$-dimensions (with $D\\approx 3$) at the Wilson-Fisher fixed point perturbed by a scalar composite operator. The action is written in terms of an auxiliary scalar field and reproduces correlation functions of a scalar composite operator. The equation is derived starting from the Polchinski ERG equation for the fundamental scalar field. As described in arXiv:1706.03371 an evolution operator for the Polchinski ERG equation can be written in the form of a functional integral, with a $D+1$ ","authors_text":"B. Sathiapalan","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T01:25:26Z","title":"Holographic RG and Exact RG in O(N) Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.10412","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:b79e50cbafce91858c51eb665f5c40d1fff37359b8064bffbee5ac54a998d834","target":"record","created_at":"2026-07-05T01:32:23Z","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":"14c249d8c1d13ae811da433c52dd7f2bf54405b60fed94c038cf9c80e5a7bb4e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T01:25:26Z","title_canon_sha256":"5e1dc5b957899f79b6140124551b05df1f3aa267d9bc6529dfe5802fa778faf3"},"schema_version":"1.0","source":{"id":"2005.10412","kind":"arxiv","version":3}},"canonical_sha256":"f83d846484a44731afe57cb13c78b9df888b8ad0bee9ae7414f168838a004371","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f83d846484a44731afe57cb13c78b9df888b8ad0bee9ae7414f168838a004371","first_computed_at":"2026-07-05T01:32:23.420486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:32:23.420486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e1ANUek6ocFy3kPnJj/RVE0wiYzHg7eixCKzVlAezvoWYhqcXi7Zr+ovIPOYhtPL/OWDU/8qoYtD94iBWrgXAA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:32:23.420916Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.10412","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b79e50cbafce91858c51eb665f5c40d1fff37359b8064bffbee5ac54a998d834","sha256:b86b0a5f6dc267dc30335cc53bff5a30fcda815d73ed8940d69d19e72b0e3397"],"state_sha256":"d62fcf974960866ff99c0bb99196d6923543613e3998ccc2f3273df599124f49"}