{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:LP77OM7DKZC4L3LYFQIQV6367E","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":"36c703745f5c22b90de63bc411b421a3c07d99789c4c20dda818d9b9191d126c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-11-16T19:29:30Z","title_canon_sha256":"8fef8fb419050fc1b6f58716c4e08e788fa605358b3d3f4926f9943c279a6821"},"schema_version":"1.0","source":{"id":"2311.10157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.10157","created_at":"2026-07-05T07:13:47Z"},{"alias_kind":"arxiv_version","alias_value":"2311.10157v1","created_at":"2026-07-05T07:13:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.10157","created_at":"2026-07-05T07:13:47Z"},{"alias_kind":"pith_short_12","alias_value":"LP77OM7DKZC4","created_at":"2026-07-05T07:13:47Z"},{"alias_kind":"pith_short_16","alias_value":"LP77OM7DKZC4L3LY","created_at":"2026-07-05T07:13:47Z"},{"alias_kind":"pith_short_8","alias_value":"LP77OM7D","created_at":"2026-07-05T07:13:47Z"}],"graph_snapshots":[{"event_id":"sha256:5ccafd7ee69675516076beb345a686d14c907d0d8f86fcc7da44aef9f4af63b5","target":"graph","created_at":"2026-07-05T07:13:47Z","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/2311.10157/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the two dimensional Peskin problem with general elasticity law. Specifically, we prove global regularity for small perturbations, in suitable critical spaces, of the circle solution, possibly containing corners. For such initial data we prove asymptotic stability in the sense that as $t\\to\\infty$, the solution converges to a translated and rotated disk.","authors_text":"Eduardo Garc\\'ia-Ju\\'arez, Susanna V. Haziot","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-11-16T19:29:30Z","title":"Critical well-posedness for the 2D Peskin problem with general tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.10157","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:cd14501d69c9a5c0f5a307d9ad6ffe65199b7c1fbaff815e6e1167c81e69c091","target":"record","created_at":"2026-07-05T07:13:47Z","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":"36c703745f5c22b90de63bc411b421a3c07d99789c4c20dda818d9b9191d126c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-11-16T19:29:30Z","title_canon_sha256":"8fef8fb419050fc1b6f58716c4e08e788fa605358b3d3f4926f9943c279a6821"},"schema_version":"1.0","source":{"id":"2311.10157","kind":"arxiv","version":1}},"canonical_sha256":"5bfff733e35645c5ed782c110afb7ef9266ae71920595a094f73d194881d8f7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bfff733e35645c5ed782c110afb7ef9266ae71920595a094f73d194881d8f7f","first_computed_at":"2026-07-05T07:13:47.642528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:13:47.642528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zPEFER9TjwxhavosFjsKmJH47BBPMSxtdnqfZyWKIioQgqgls714nkmFrpLyk/NHt4VH/F7ps29soQ0M5ywzCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:13:47.643014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.10157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd14501d69c9a5c0f5a307d9ad6ffe65199b7c1fbaff815e6e1167c81e69c091","sha256:5ccafd7ee69675516076beb345a686d14c907d0d8f86fcc7da44aef9f4af63b5"],"state_sha256":"98e9b842c9ac282c6e75a20c181ced8af0f64d24aa42ba2f8d43d4be747e5cc9"}