{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PR575RWNYHDAXBDENLSTLTXDS5","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":"cfbd03fcf3172f1f77a568818ac68084e586cc028f4f9831e845eb0ea0fcca2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-18T14:13:15Z","title_canon_sha256":"572d43b43da6c8ce53492b98e4bc3c422c861f9eda544f5d03e0fd7fa8cd0da2"},"schema_version":"1.0","source":{"id":"1105.3639","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3639","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3639v5","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3639","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"PR575RWNYHDA","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PR575RWNYHDAXBDE","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PR575RWN","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:53dd582e28f2eb3c1da3da3e09b4bf8e49a32a505678a743d87fb55a4f44dc6f","target":"graph","created_at":"2026-05-18T03:45:23Z","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"},"paper":{"abstract_excerpt":"In this paper we study the uniqueness property of solutions to the steady incompressible Euler equations with perturbations in $\\Bbb R^N$. Our perturbations include as special cases the Euler equations with a `single signed' nonlinear term, the self-similar Euler equations, and the steady Navier-Stokes equations. For these equations show that suitable decay assumptions at infinity on the solution or its derivatives, imposed by the $L^q$ conditions imply that the only possible solution is zero.","authors_text":"Dongho Chae","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-18T14:13:15Z","title":"On the uniqueness of solution to the steady Euler equations with perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3639","kind":"arxiv","version":5},"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":"sha256:4f9d753f39ad0e7c55b96595e47f7324e3587c4d081702d0b6acc73f79f8b89b","target":"record","created_at":"2026-05-18T03:45:23Z","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":"cfbd03fcf3172f1f77a568818ac68084e586cc028f4f9831e845eb0ea0fcca2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-18T14:13:15Z","title_canon_sha256":"572d43b43da6c8ce53492b98e4bc3c422c861f9eda544f5d03e0fd7fa8cd0da2"},"schema_version":"1.0","source":{"id":"1105.3639","kind":"arxiv","version":5}},"canonical_sha256":"7c7bfec6cdc1c60b84646ae535cee3975c8dc6122635172de7447cccbbda979e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c7bfec6cdc1c60b84646ae535cee3975c8dc6122635172de7447cccbbda979e","first_computed_at":"2026-05-18T03:45:23.316039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:23.316039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uS/qY+VerGvSuSAlRx+V2iAW6tdZ/HUB8DFSjTeEsW0j9ewHaziHG0DsSYa8qSlAhisQ4gHzUEpya8FKF0qPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:23.316458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3639","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f9d753f39ad0e7c55b96595e47f7324e3587c4d081702d0b6acc73f79f8b89b","sha256:53dd582e28f2eb3c1da3da3e09b4bf8e49a32a505678a743d87fb55a4f44dc6f"],"state_sha256":"1a0951bc6658e05506e2910887be2de9caea81e22fbe1525056981fd8b584d39"}