{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DG6TCQRDTAEAFRJVX2ZL5SQSLB","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":"3bd32ac36e9cc0301a534c9d3b0657199362f84ec5ce1807d2658731fe50c096","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-04T09:38:47Z","title_canon_sha256":"53db3a279290bc08c483fc43b7946baa5304b3b5ab2581b3c5796bfb449e3bca"},"schema_version":"1.0","source":{"id":"2502.02164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.02164","created_at":"2026-07-05T10:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"2502.02164v1","created_at":"2026-07-05T10:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.02164","created_at":"2026-07-05T10:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"DG6TCQRDTAEA","created_at":"2026-07-05T10:09:24Z"},{"alias_kind":"pith_short_16","alias_value":"DG6TCQRDTAEAFRJV","created_at":"2026-07-05T10:09:24Z"},{"alias_kind":"pith_short_8","alias_value":"DG6TCQRD","created_at":"2026-07-05T10:09:24Z"}],"graph_snapshots":[{"event_id":"sha256:14b64ce0ce0b0e600eb087541cb3b1007659100c6da0b4724c150fa1fab01091","target":"graph","created_at":"2026-07-05T10:09:24Z","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/2502.02164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we perform rigorous small noise expansions to study the impact of stochastic forcing on the behaviour of planar travelling wave solutions to reaction-diffusion equations on cylindrical domains. In particular, we use a stochastic freezing approach that allows effective limiting information to be extracted concerning the behaviour of the stochastic perturbations from the deterministic wave. As an application, this allows us to provide a rigorous definition for the stochastic corrections to the wave speed. In addition, our approach allows their size to be computed to any desired orde","authors_text":"Christian H.S. Hamster, Hermen Jan Hupkes, Mark van den Bosch","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-04T09:38:47Z","title":"Conditional Speed and Shape Corrections for Travelling Wave Solutions to Stochastically Perturbed Reaction-Diffusion Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.02164","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":"sha256:8e6c1c17260b574368c93ac3b3806885c88afbec85e7c78b3f90b4ae6f383325","target":"record","created_at":"2026-07-05T10:09:24Z","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":"3bd32ac36e9cc0301a534c9d3b0657199362f84ec5ce1807d2658731fe50c096","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-04T09:38:47Z","title_canon_sha256":"53db3a279290bc08c483fc43b7946baa5304b3b5ab2581b3c5796bfb449e3bca"},"schema_version":"1.0","source":{"id":"2502.02164","kind":"arxiv","version":1}},"canonical_sha256":"19bd314223980802c535beb2beca1258798e223bee5eeeac300fc19fadc0bb4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19bd314223980802c535beb2beca1258798e223bee5eeeac300fc19fadc0bb4a","first_computed_at":"2026-07-05T10:09:24.950988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:09:24.950988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hAaIU3P6q1aXL5PkmLwyhuHo2J3KWOJzIvdCNA0E1sk1sHoGjEYDYXoZryViL9bGcTuWO30RkdPaMMZyzM5dCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:09:24.951413Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.02164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e6c1c17260b574368c93ac3b3806885c88afbec85e7c78b3f90b4ae6f383325","sha256:14b64ce0ce0b0e600eb087541cb3b1007659100c6da0b4724c150fa1fab01091"],"state_sha256":"6c607621efcfbbb9aa5dd375015fe7ae7a9a7278e81b42c1324fc109f0cd7d1f"}