{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:7YT7UX5L2NCEOS7JO22DFDL3VU","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":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8"},"schema_version":"1.0","source":{"id":"2109.00399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"2109.00399v2","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.00399","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"7YT7UX5L2NCE","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_16","alias_value":"7YT7UX5L2NCEOS7J","created_at":"2026-07-05T08:26:54Z"},{"alias_kind":"pith_short_8","alias_value":"7YT7UX5L","created_at":"2026-07-05T08:26:54Z"}],"graph_snapshots":[{"event_id":"sha256:1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9","target":"graph","created_at":"2026-07-05T08:26:54Z","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/2109.00399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime dependent renormalization schemes. Our approach bypasses in particular the use of decorated trees with extended decorations.","authors_text":"I. Bailleul, Y. Bruned","cross_cats":["math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title":"Locality for singular stochastic PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.00399","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:dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0","target":"record","created_at":"2026-07-05T08:26:54Z","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":"4760dc4bd3455dcf67bcc373766ce9095ec467a1ca422d0eee28e7fb78adb0a4","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-09-01T14:29:18Z","title_canon_sha256":"0561abb76e9a60b1171843da4b8ce23aef0dfd521dd6431b15b36ce45e3529a8"},"schema_version":"1.0","source":{"id":"2109.00399","kind":"arxiv","version":2}},"canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe27fa5fabd344474be976b4328d7bad3d91dc727e614a869684abbdfcc95946","first_computed_at":"2026-07-05T08:26:54.548703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:54.548703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hxk3maIsk6TaB3NP3U3bHT1N/0UgMf0NKDqe0hgTV9RHjqXGkaqth4lXxIM6l1AuV9P4TrTENZM/D5bfNLcuDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:54.549176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.00399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dad34eb7e96be3c0c0c99070de98a3d3ccc14a3a653517ecf8ce196d0dad07b0","sha256:1dfe8e44f6420c2e7d3fe3af2dffa6b00ec5859fea129ff0005e133cb98cbce9"],"state_sha256":"536b9f8d2f9efa9ba2e11e4226c85519d1739fdb962c1211af1578ce5e54c344"}