{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:A7RALZZRE34GHKZWUNMZMPOISB","short_pith_number":"pith:A7RALZZR","schema_version":"1.0","canonical_sha256":"07e205e73126f863ab36a359963dc8904ee784dc71798de36863afe30bfa1acf","source":{"kind":"arxiv","id":"2502.09506","version":3},"attestation_state":"computed","paper":{"title":"Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Cecile Monthus","submitted_at":"2025-02-13T17:20:59Z","abstract_excerpt":"Within the Wilson RG of 'incomplete integration' as a function of the effective RG-time $t$, the non-linear differential RG-flow for the energy $E_t[\\phi(.)]$ translates for the probability distribution $P_t[\\phi(.)] \\sim e^{- E_t[\\phi(.)]} $ into the linear Fokker-Planck RG-flow associated to independent non-identical Ornstein-Uhlenbeck processes for the Fourier modes. The corresponding Langevin stochastic differential equations for the real-space field $\\phi_t(\\vec x)$ have been recently interpreted by Carosso as genuine infinitesimal coarsening-transformations that are the analog of spin-bl"},"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":"2502.09506","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-13T17:20:59Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"5b6ef715b682cd36c17aead2950fef5793611f8483f7d05922194579331eebe8","abstract_canon_sha256":"4b9e12f825594e03eded974034ad06b7de209e06d88b7dc7fdddb41c674f35f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:26.618703Z","signature_b64":"LXr8cpQ84+/taThAE5lXVMcjgRtulf5ZICm8mL393A4lBRhTTNoXzaZFnfQ09tLwSjuuFFdT+DplliJ8u3i+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07e205e73126f863ab36a359963dc8904ee784dc71798de36863afe30bfa1acf","last_reissued_at":"2026-07-05T11:12:26.618225Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:26.618225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Cecile Monthus","submitted_at":"2025-02-13T17:20:59Z","abstract_excerpt":"Within the Wilson RG of 'incomplete integration' as a function of the effective RG-time $t$, the non-linear differential RG-flow for the energy $E_t[\\phi(.)]$ translates for the probability distribution $P_t[\\phi(.)] \\sim e^{- E_t[\\phi(.)]} $ into the linear Fokker-Planck RG-flow associated to independent non-identical Ornstein-Uhlenbeck processes for the Fourier modes. The corresponding Langevin stochastic differential equations for the real-space field $\\phi_t(\\vec x)$ have been recently interpreted by Carosso as genuine infinitesimal coarsening-transformations that are the analog of spin-bl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09506","kind":"arxiv","version":3},"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/2502.09506/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":"2502.09506","created_at":"2026-07-05T11:12:26.618289+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.09506v3","created_at":"2026-07-05T11:12:26.618289+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09506","created_at":"2026-07-05T11:12:26.618289+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7RALZZRE34G","created_at":"2026-07-05T11:12:26.618289+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7RALZZRE34GHKZW","created_at":"2026-07-05T11:12:26.618289+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7RALZZR","created_at":"2026-07-05T11:12:26.618289+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB","json":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB.json","graph_json":"https://pith.science/api/pith-number/A7RALZZRE34GHKZWUNMZMPOISB/graph.json","events_json":"https://pith.science/api/pith-number/A7RALZZRE34GHKZWUNMZMPOISB/events.json","paper":"https://pith.science/paper/A7RALZZR"},"agent_actions":{"view_html":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB","download_json":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB.json","view_paper":"https://pith.science/paper/A7RALZZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.09506&json=true","fetch_graph":"https://pith.science/api/pith-number/A7RALZZRE34GHKZWUNMZMPOISB/graph.json","fetch_events":"https://pith.science/api/pith-number/A7RALZZRE34GHKZWUNMZMPOISB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB/action/storage_attestation","attest_author":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB/action/author_attestation","sign_citation":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB/action/citation_signature","submit_replication":"https://pith.science/pith/A7RALZZRE34GHKZWUNMZMPOISB/action/replication_record"}},"created_at":"2026-07-05T11:12:26.618289+00:00","updated_at":"2026-07-05T11:12:26.618289+00:00"}