{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:G4A2SWORSYUMRSPDXWRHE5IJOS","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":"f7ea00b0ee94e4f5ceea74282a56f97a6db5cc17800442e63042ae308cc390da","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-30T05:48:26Z","title_canon_sha256":"f003fd94257755ee6ba4ccce49c24219e2a2d42387c4f80ae209a23962d7356f"},"schema_version":"1.0","source":{"id":"1904.13057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.13057","created_at":"2026-07-05T00:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"1904.13057v2","created_at":"2026-07-05T00:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.13057","created_at":"2026-07-05T00:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"G4A2SWORSYUM","created_at":"2026-07-05T00:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"G4A2SWORSYUMRSPD","created_at":"2026-07-05T00:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"G4A2SWOR","created_at":"2026-07-05T00:41:26Z"}],"graph_snapshots":[{"event_id":"sha256:dcc8823b1de010977eb0194f447ba127f459090c2b517e0f7df897693de23ed7","target":"graph","created_at":"2026-07-05T00:41:26Z","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/1904.13057/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous","authors_text":"Andrea Carosso","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-30T05:48:26Z","title":"Stochastic Renormalization Group and Gradient Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.13057","kind":"arxiv","version":2},"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":"sha256:5e6cdbd9a81623c646cedcabbb343f7970e4d487699d5f62befa1bed36f4ad3d","target":"record","created_at":"2026-07-05T00:41:26Z","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":"f7ea00b0ee94e4f5ceea74282a56f97a6db5cc17800442e63042ae308cc390da","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-04-30T05:48:26Z","title_canon_sha256":"f003fd94257755ee6ba4ccce49c24219e2a2d42387c4f80ae209a23962d7356f"},"schema_version":"1.0","source":{"id":"1904.13057","kind":"arxiv","version":2}},"canonical_sha256":"3701a959d19628c8c9e3bda272750974b2d6c9ccaad5287dfa66a678cc50fca7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3701a959d19628c8c9e3bda272750974b2d6c9ccaad5287dfa66a678cc50fca7","first_computed_at":"2026-07-05T00:41:26.851676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:41:26.851676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lbBeCBNSIbrEpbJLe9Qs0/Y3I2O9bvTh+GUErjbOt/YhLQwrx46jiASLjvLicoylWqkggxDtw5L4NuGfYBrUBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:41:26.852097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.13057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e6cdbd9a81623c646cedcabbb343f7970e4d487699d5f62befa1bed36f4ad3d","sha256:dcc8823b1de010977eb0194f447ba127f459090c2b517e0f7df897693de23ed7"],"state_sha256":"53aab749b38247547a544b703c87fa302e8e8da062de92ac26dc6d50b45230d8"}