{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:X5BGK2DS72N7D332YMWXBWES5N","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":"304fb1d294b18d701fccb423bf752cc49bde18809b7eec1999e7cfb21b553e1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-20T02:14:56Z","title_canon_sha256":"b9b889c0d065617e473ab0edca3166da91ca0bab993726075690e4d4ee407106"},"schema_version":"1.0","source":{"id":"2312.12711","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12711","created_at":"2026-07-05T07:35:41Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12711v3","created_at":"2026-07-05T07:35:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12711","created_at":"2026-07-05T07:35:41Z"},{"alias_kind":"pith_short_12","alias_value":"X5BGK2DS72N7","created_at":"2026-07-05T07:35:41Z"},{"alias_kind":"pith_short_16","alias_value":"X5BGK2DS72N7D332","created_at":"2026-07-05T07:35:41Z"},{"alias_kind":"pith_short_8","alias_value":"X5BGK2DS","created_at":"2026-07-05T07:35:41Z"}],"graph_snapshots":[{"event_id":"sha256:511f0c05efeb5a17432d7108bff56c6382e53c8253eb83b27e90944c21ec89f5","target":"graph","created_at":"2026-07-05T07:35:41Z","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/2312.12711/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the uniformly rotating vortex patch solutions for the 2D incompressible Euler equations. Specifically, we prove that if the patch solution is close to the Rankine vortex in a certain weak topology, it is either the Kirchhoff ellipses or the Rankine vortex.","authors_text":"Yupei Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-20T02:14:56Z","title":"On the rigidity of uniformly rotating vortex patch near the Rankine vortex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12711","kind":"arxiv","version":3},"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:d8c127dc1858184b1475c78a7d8ce560101ce66d06c495e137c19c22733c65dd","target":"record","created_at":"2026-07-05T07:35:41Z","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":"304fb1d294b18d701fccb423bf752cc49bde18809b7eec1999e7cfb21b553e1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-20T02:14:56Z","title_canon_sha256":"b9b889c0d065617e473ab0edca3166da91ca0bab993726075690e4d4ee407106"},"schema_version":"1.0","source":{"id":"2312.12711","kind":"arxiv","version":3}},"canonical_sha256":"bf42656872fe9bf1ef7ac32d70d892eb40267b1ae99d649d551811612bab5b36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf42656872fe9bf1ef7ac32d70d892eb40267b1ae99d649d551811612bab5b36","first_computed_at":"2026-07-05T07:35:41.562285Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:35:41.562285Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IDTmCGFt8T1nmnodIFIuQsKFUNzq/yQ+5ssdQmPFOx79nWLgTkrIpCJ/A+SGMUwDESu10ox9TIZTxkfUlVqBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:35:41.562695Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12711","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8c127dc1858184b1475c78a7d8ce560101ce66d06c495e137c19c22733c65dd","sha256:511f0c05efeb5a17432d7108bff56c6382e53c8253eb83b27e90944c21ec89f5"],"state_sha256":"5ad152f43abd1e6d6b7238d2a991b09f18241da8c294f0455ccf8d5c66629db0"}