{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4XLLEA3TZLTU24CXCSRE3XKJ4Y","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":"398d462e02fbe35972afc929ab23b2f7c815146b1dd9bd64b619ca6508924de3","cross_cats_sorted":["math.AP","math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-25T18:02:28Z","title_canon_sha256":"56bc67acd2f21152275c58d6ed682deeba8a89090073cb743ebc4c440d13793f"},"schema_version":"1.0","source":{"id":"2403.17066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.17066","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"arxiv_version","alias_value":"2403.17066v1","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.17066","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_12","alias_value":"4XLLEA3TZLTU","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_16","alias_value":"4XLLEA3TZLTU24CX","created_at":"2026-07-05T08:00:44Z"},{"alias_kind":"pith_short_8","alias_value":"4XLLEA3T","created_at":"2026-07-05T08:00:44Z"}],"graph_snapshots":[{"event_id":"sha256:210458ef7a8f68cdedf403632a14235d12fb3336c7eae8942e5afae8ccd6bff5","target":"graph","created_at":"2026-07-05T08:00:44Z","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/2403.17066/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We characterise the chain rule symmetry for the geometric stochastic heat equations in the full subcritical regime for Gaussian and non-Gaussian noises. We show that the renormalised counter-terms that give a solution invariant under changes of coordinates are generated by iterations of covariant derivatives. The result was known only for space-time white noises, with a very specific proof that so far could not be extended to the general case. The key idea of the present paper is to change the perspective on several levels and to use ideas coming from operad theory and homological algebra. Con","authors_text":"Vladimir Dotsenko, Yvain Bruned","cross_cats":["math.AP","math.KT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-25T18:02:28Z","title":"Chain rule symmetry for singular SPDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.17066","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:dfe96b68e97356bf5fe898f480781d7e93f82050c4cccf46655d7bbf67bbbf83","target":"record","created_at":"2026-07-05T08:00:44Z","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":"398d462e02fbe35972afc929ab23b2f7c815146b1dd9bd64b619ca6508924de3","cross_cats_sorted":["math.AP","math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-25T18:02:28Z","title_canon_sha256":"56bc67acd2f21152275c58d6ed682deeba8a89090073cb743ebc4c440d13793f"},"schema_version":"1.0","source":{"id":"2403.17066","kind":"arxiv","version":1}},"canonical_sha256":"e5d6b20373cae74d705714a24ddd49e605013db1ca9dc5e342636bc333076c9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5d6b20373cae74d705714a24ddd49e605013db1ca9dc5e342636bc333076c9f","first_computed_at":"2026-07-05T08:00:44.758960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:44.758960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z0IsPsKrCuhCvyhSH4nkmW9hHvVSpOSVhqvre3RvXJMJ9mln5zn0r2iR1vAbJHjjkishvuY2N0m4N0Z41g8MCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:44.759503Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.17066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfe96b68e97356bf5fe898f480781d7e93f82050c4cccf46655d7bbf67bbbf83","sha256:210458ef7a8f68cdedf403632a14235d12fb3336c7eae8942e5afae8ccd6bff5"],"state_sha256":"83e4e6e864b9685feaecfd807080367c42b4ebcf79d86c8ca29f4b0df60e1783"}