{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QYDAXAYEZMMEGPN7WA6IKYJGQA","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":"eb8d2a0eb526b8f28680e8a03aca7128d86e078bc307c85c3dd557a943abd55c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-01-23T13:01:59Z","title_canon_sha256":"7590550d860eaf81e62e4f93b3f63cde7cdeb240cb58f78ba47ae64c75f155ce"},"schema_version":"1.0","source":{"id":"2501.13632","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13632","created_at":"2026-07-05T10:04:31Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13632v1","created_at":"2026-07-05T10:04:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13632","created_at":"2026-07-05T10:04:31Z"},{"alias_kind":"pith_short_12","alias_value":"QYDAXAYEZMME","created_at":"2026-07-05T10:04:31Z"},{"alias_kind":"pith_short_16","alias_value":"QYDAXAYEZMMEGPN7","created_at":"2026-07-05T10:04:31Z"},{"alias_kind":"pith_short_8","alias_value":"QYDAXAYE","created_at":"2026-07-05T10:04:31Z"}],"graph_snapshots":[{"event_id":"sha256:47e37d266ab3e6efa279e760cac21417ae5b6a2494f5b3cadd14d35b1ecb3e0f","target":"graph","created_at":"2026-07-05T10:04:31Z","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/2501.13632/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given any smooth solenoidal vector field $v_0$ on $\\mathbf T^3$, we show the existence of infinitely many H\\\"older-continuous steady Euler flows $v$ with the same topology as $v_0$, in certain weak sense. In particular, we show that $v$ possesses a unique flow of the highest H\\\"older regularity, which is conjugate to the flow of $v_0$ via a volume-preserving H\\\"older homeomorphism of $\\mathbf T^3$. This result extends to the case of Euler equations on toroidal domains, which has applications to the study of plasmas. The proof relies on a novel convex integration scheme incorporating the key id","authors_text":"Alberto Enciso, Daniel Peralta-Salas, Javier Pe\\~nafiel-Tom\\'as","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-01-23T13:01:59Z","title":"Steady 3d Euler flows via a topology-preserving convex integration scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13632","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:f0ffc6b07fe8d9ee612dc7f9e46e83309330442fdec22f506d27383ec035f732","target":"record","created_at":"2026-07-05T10:04:31Z","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":"eb8d2a0eb526b8f28680e8a03aca7128d86e078bc307c85c3dd557a943abd55c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-01-23T13:01:59Z","title_canon_sha256":"7590550d860eaf81e62e4f93b3f63cde7cdeb240cb58f78ba47ae64c75f155ce"},"schema_version":"1.0","source":{"id":"2501.13632","kind":"arxiv","version":1}},"canonical_sha256":"86060b8304cb18433dbfb03c85612680053750610144e6927278448871fd9ff9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86060b8304cb18433dbfb03c85612680053750610144e6927278448871fd9ff9","first_computed_at":"2026-07-05T10:04:31.774395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:31.774395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zuN3shhpNDLhbdVTLtTn3bvZWQu0SKTrHdELnGb6tmAgFRSfN93EULn6UelEjr03iA8oWtU1gId4dAQApR0lDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:31.774841Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13632","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0ffc6b07fe8d9ee612dc7f9e46e83309330442fdec22f506d27383ec035f732","sha256:47e37d266ab3e6efa279e760cac21417ae5b6a2494f5b3cadd14d35b1ecb3e0f"],"state_sha256":"27f320aa56b04535f8558787208ed012d9ed026dcd001f05528ceca2de815943"}