{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KIZAFBGBMX4SHU7DANASWM6FO5","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":"8f3655bc49cc63989223165a476ac890305b51b65749300bb3344f4fa8aa1f24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-04T14:37:54Z","title_canon_sha256":"73b4d0045bc8df02911cc6e88a58a7d3c9ba1ec73277ca9c18ebe5edfd86f10e"},"schema_version":"1.0","source":{"id":"2606.06231","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06231","created_at":"2026-06-05T01:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06231v1","created_at":"2026-06-05T01:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06231","created_at":"2026-06-05T01:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"KIZAFBGBMX4S","created_at":"2026-06-05T01:15:38Z"},{"alias_kind":"pith_short_16","alias_value":"KIZAFBGBMX4SHU7D","created_at":"2026-06-05T01:15:38Z"},{"alias_kind":"pith_short_8","alias_value":"KIZAFBGB","created_at":"2026-06-05T01:15:38Z"}],"graph_snapshots":[{"event_id":"sha256:1988fe925dc45e1a6d39594c8aa23cac50f303a5fe9823ced5ad213e5460713f","target":"graph","created_at":"2026-06-05T01:15:38Z","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/2606.06231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a method for bounding the sensitivity of solutions to stochastic differential equations (SDEs) to changes in the drift, $F$, and diffusion, $\\sigma$, by using a combination of information-theoretic uncertainty quantification bounds, functional inequalities, and judiciously chosen coupled auxiliary SDEs. The method is capable of producing non-asymptotic bounds which are well behaved in the $T\\to \\infty$ limit and does not require the perturbations to $F$ and $\\sigma$ to be small. Our approach applies to expectations of both time-averaged and exponentially discounted observables and a","authors_text":"Jeremiah Birrell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-04T14:37:54Z","title":"Sensitivity of SDE Solutions to Perturbations of the Diffusion and Drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06231","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:e54be1d770d8008e9d3aa5a25bfe5843775b6bf4001e5dfd324a6b8e9be47f9a","target":"record","created_at":"2026-06-05T01:15:38Z","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":"8f3655bc49cc63989223165a476ac890305b51b65749300bb3344f4fa8aa1f24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-06-04T14:37:54Z","title_canon_sha256":"73b4d0045bc8df02911cc6e88a58a7d3c9ba1ec73277ca9c18ebe5edfd86f10e"},"schema_version":"1.0","source":{"id":"2606.06231","kind":"arxiv","version":1}},"canonical_sha256":"52320284c165f923d3e303412b33c57755d9a821e7b2a7bcd640b1b4aca54d06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52320284c165f923d3e303412b33c57755d9a821e7b2a7bcd640b1b4aca54d06","first_computed_at":"2026-06-05T01:15:38.686368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:38.686368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eBxKOo2JDqsIq8g0grO4OeiKzFR2L8THBdrLMxc0bzAmOLA6VYS1PUcS1tKp1N8lBT1IrTSikqLA7Wf/9lx+Bg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:38.686958Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06231","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e54be1d770d8008e9d3aa5a25bfe5843775b6bf4001e5dfd324a6b8e9be47f9a","sha256:1988fe925dc45e1a6d39594c8aa23cac50f303a5fe9823ced5ad213e5460713f"],"state_sha256":"43dfc388913bd127b12bb504bae63de729ba7aba28a758f4c2bd5d287d66c67e"}