{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BQ6HBP4NEVIQJUDS72LXY34TMQ","short_pith_number":"pith:BQ6HBP4N","canonical_record":{"source":{"id":"2411.14840","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T10:27:30Z","cross_cats_sorted":[],"title_canon_sha256":"e2bdae4eb1512dc79d7c918c9bdecae93fbef307670162cb4d744c0160c20ffe","abstract_canon_sha256":"ff16c9af53e4a0956fdf4ebd6d6feb5ecdbea1273901bf01e06b0cb4a83d991f"},"schema_version":"1.0"},"canonical_sha256":"0c3c70bf8d255104d072fe977c6f93642817ae36f2d4c4adee944557392764b2","source":{"kind":"arxiv","id":"2411.14840","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14840","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14840v2","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14840","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_12","alias_value":"BQ6HBP4NEVIQ","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_16","alias_value":"BQ6HBP4NEVIQJUDS","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_8","alias_value":"BQ6HBP4N","created_at":"2026-07-05T09:57:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BQ6HBP4NEVIQJUDS72LXY34TMQ","target":"record","payload":{"canonical_record":{"source":{"id":"2411.14840","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T10:27:30Z","cross_cats_sorted":[],"title_canon_sha256":"e2bdae4eb1512dc79d7c918c9bdecae93fbef307670162cb4d744c0160c20ffe","abstract_canon_sha256":"ff16c9af53e4a0956fdf4ebd6d6feb5ecdbea1273901bf01e06b0cb4a83d991f"},"schema_version":"1.0"},"canonical_sha256":"0c3c70bf8d255104d072fe977c6f93642817ae36f2d4c4adee944557392764b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:49.021917Z","signature_b64":"lUY1W6sxIJ/L7ovkMZJYXcycuBQXI1DZ+Kk8e2MCcupTITX4W1lbTbYfRmBI1SMdX+m+exqUCupPOQTBQEnABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c3c70bf8d255104d072fe977c6f93642817ae36f2d4c4adee944557392764b2","last_reissued_at":"2026-07-05T09:57:49.021393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:49.021393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.14840","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:57:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9AA9GSiM7k1G81OyLQbS29wzaawjWh1zOhyu0r5qy5JSaU2+EP6+yKg0E1mctTvAhhygCAHp+Tln5XhNXHNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:50:18.446589Z"},"content_sha256":"f0688fc4c6db226d41f4c10d83b1034b890af3d8d007122565ea3f5e9c90ff41","schema_version":"1.0","event_id":"sha256:f0688fc4c6db226d41f4c10d83b1034b890af3d8d007122565ea3f5e9c90ff41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BQ6HBP4NEVIQJUDS72LXY34TMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Longhui Xu","submitted_at":"2024-11-22T10:27:30Z","abstract_excerpt":"We prove the local well-posedness of the 3D free-boundary incompressible elastodynamics with surface tension describing the motion of an elastic medium in a periodic domain with a moving graphical surface. The deformation tensor is assumed to satisfy the neo-Hookean linear elasticity. We adapt the idea in arXiv:2312.11254 to generate an approximate problem with artificial viscosity indexed by $\\kappa > 0$ to boost the boundary regularity, which recovers the original system as $\\kappa\\to 0$, and the energy estimates yield no regularity loss."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14840","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.14840/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:57:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcMuQb7h44zzHkqVWiRoedvS5uUSFgZmZFlNh8L9P2K9dHXsgqRPlFFWfda3ypEgIkNEC0uwsrMJ8o583bAmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:50:18.447080Z"},"content_sha256":"50fb948f140514a6dcac8e907c17d2885d1f19f70b250bffe6dbe0d1d109bfbe","schema_version":"1.0","event_id":"sha256:50fb948f140514a6dcac8e907c17d2885d1f19f70b250bffe6dbe0d1d109bfbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/bundle.json","state_url":"https://pith.science/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T05:50:18Z","links":{"resolver":"https://pith.science/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ","bundle":"https://pith.science/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/bundle.json","state":"https://pith.science/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQ6HBP4NEVIQJUDS72LXY34TMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BQ6HBP4NEVIQJUDS72LXY34TMQ","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":"ff16c9af53e4a0956fdf4ebd6d6feb5ecdbea1273901bf01e06b0cb4a83d991f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T10:27:30Z","title_canon_sha256":"e2bdae4eb1512dc79d7c918c9bdecae93fbef307670162cb4d744c0160c20ffe"},"schema_version":"1.0","source":{"id":"2411.14840","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14840","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14840v2","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14840","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_12","alias_value":"BQ6HBP4NEVIQ","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_16","alias_value":"BQ6HBP4NEVIQJUDS","created_at":"2026-07-05T09:57:49Z"},{"alias_kind":"pith_short_8","alias_value":"BQ6HBP4N","created_at":"2026-07-05T09:57:49Z"}],"graph_snapshots":[{"event_id":"sha256:50fb948f140514a6dcac8e907c17d2885d1f19f70b250bffe6dbe0d1d109bfbe","target":"graph","created_at":"2026-07-05T09:57:49Z","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/2411.14840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the local well-posedness of the 3D free-boundary incompressible elastodynamics with surface tension describing the motion of an elastic medium in a periodic domain with a moving graphical surface. The deformation tensor is assumed to satisfy the neo-Hookean linear elasticity. We adapt the idea in arXiv:2312.11254 to generate an approximate problem with artificial viscosity indexed by $\\kappa > 0$ to boost the boundary regularity, which recovers the original system as $\\kappa\\to 0$, and the energy estimates yield no regularity loss.","authors_text":"Longhui Xu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14840","kind":"arxiv","version":2},"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:f0688fc4c6db226d41f4c10d83b1034b890af3d8d007122565ea3f5e9c90ff41","target":"record","created_at":"2026-07-05T09:57:49Z","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":"ff16c9af53e4a0956fdf4ebd6d6feb5ecdbea1273901bf01e06b0cb4a83d991f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-22T10:27:30Z","title_canon_sha256":"e2bdae4eb1512dc79d7c918c9bdecae93fbef307670162cb4d744c0160c20ffe"},"schema_version":"1.0","source":{"id":"2411.14840","kind":"arxiv","version":2}},"canonical_sha256":"0c3c70bf8d255104d072fe977c6f93642817ae36f2d4c4adee944557392764b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c3c70bf8d255104d072fe977c6f93642817ae36f2d4c4adee944557392764b2","first_computed_at":"2026-07-05T09:57:49.021393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:49.021393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lUY1W6sxIJ/L7ovkMZJYXcycuBQXI1DZ+Kk8e2MCcupTITX4W1lbTbYfRmBI1SMdX+m+exqUCupPOQTBQEnABw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:49.021917Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14840","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0688fc4c6db226d41f4c10d83b1034b890af3d8d007122565ea3f5e9c90ff41","sha256:50fb948f140514a6dcac8e907c17d2885d1f19f70b250bffe6dbe0d1d109bfbe"],"state_sha256":"8a986cb6511883b4f24a98a3eb707b0a7c8ab30107aee03c0e43fe4b4690d444"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BghiKzQ8cZlKfohvjg16irlm/B6PvbONFjKpYp7tzPaQWMIRRBAntsp/0jjenewk7QptdRo+lycJZvqIWkGPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T05:50:18.451528Z","bundle_sha256":"37576f1b2ddac8f2b48f43aae06bd70d892810406365eb82979ea1198a41be9b"}}