{"as_of":"2026-08-13T05:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:943b97a97d599fb6c0de40dc275c4a4f954f48d6e94d48d20d12c43a53db7c4a","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:56:39.146097Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.14840/citation-record","integrity":"/paper/2411.14840/integrity","json":"/paper/2411.14840/citation-record.json","paper":"/paper/2411.14840"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:40.000875Z","title":"On the cauchy pro blem for gravity water waves","venue":null,"work_id":"c3538bbf-c9e6-465a-a392-fcdc2f60e374","year":2014},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.895285Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:94097e1d6f364520b512c32a3adab5a7bf3cf44017bf71896efb16ae5316706e","observation_id":"f07d20f7-816b-4c12-b4db-0e40d22a9f41","resolution":{"observed_at":"2026-08-12T14:56:40.007496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.977468Z","title":"Linear stability of comp ressible vortex sheets in two-dimensional elastodynamics","venue":null,"work_id":"9b391579-12e0-46be-9620-8fa2266a66c7","year":2017},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.901812Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:e42c7d436f460ed5138afdc3240c7db4628521e401faf1b7a8c1271823596fb1","observation_id":"db2ac661-5809-42ec-89d2-20d1c66317ce","resolution":{"observed_at":"2026-08-12T14:56:39.983431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.957816Z","title":"Linear stability of comp ressible vortex sheets in 2d elastodynamics: variable coeﬃcients","venue":null,"work_id":"860a79d0-0ad7-4a8e-be54-15ec9c2ea58a","year":2020},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.907164Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:229a74b0d0a7875141ad69e28f5535b3c07211b80fd69f16786e64b8bcd11caf","observation_id":"cc806f87-1839-4ddc-87de-210ef3b43ceb","resolution":{"observed_at":"2026-08-12T14:56:39.963394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.939029Z","title":"Nonlinear stability and exis- tence of compressible vortex sheets in 2d elastodynamics","venue":null,"work_id":"26f2678e-5a0b-4e90-a01c-d306ced0b32f","year":2020},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.914898Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:5404f6a20da15cb2de3ef061c21b745b35ad3e51af4c0f4c639c2116a9336a5d","observation_id":"0916cd6c-e7ae-48e3-8dbf-2e7ffb0f3c1d","resolution":{"observed_at":"2026-08-12T14:56:39.944891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.919321Z","title":"Stabiliz ation eﬀect of elasticity on three-dimensional compressible vortex sheets","venue":null,"work_id":"e6746397-4eab-4383-9dd8-e4938b278d9d","year":2023},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.920933Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:78d09db7258268e4e759c3e3875a60fb3c7e38e2912bdb72c520e7ce04bf1f08","observation_id":"750a6250-d84c-492e-8a5f-5120fdf51d58","resolution":{"observed_at":"2026-08-12T14:56:39.925701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.896987Z","title":"On the motion of the f ree surface of a liquid","venue":null,"work_id":"2009674f-0083-4081-97be-4057f1b439e8","year":2000},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.928418Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:04c91821830be62e89eb021918c0eb5b16c7f68b4f04505628f7dc795cdc5fc8","observation_id":"9c002fcf-16ba-4d23-a4f5-a3eab867c119","resolution":{"observed_at":"2026-08-12T14:56:39.905184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.871057Z","title":"The interaction between qua silinear elastodynamics and the navier- stokes equations","venue":null,"work_id":"4fbbb0b4-9da0-4dd8-b97a-dc1336e05864","year":2006},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.935813Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:eb046a8445a9771b57cba7d910d7ce6ff133d390104d0f58b24411873ecbb948","observation_id":"530bd209-6b1f-474e-aae4-52c7c4d9c696","resolution":{"observed_at":"2026-08-12T14:56:39.880346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.851083Z","title":"Well-posedness of the free- surface incompressible euler equations with or without surface tension","venue":null,"work_id":"3dc54a23-a3af-4a16-a3b1-982349c30f44","year":2007},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.945988Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:3b1c171c2c855e438ac22e22cbfc0442cbc2e911a94ca425c8edb1e7c35cb39f","observation_id":"b33ffa81-9072-41e9-a18a-98d58c6bf9c4","resolution":{"observed_at":"2026-08-12T14:56:39.856868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.829225Z","title":"A simple proof of well-posedne ss for the free-surface incompressible euler equations","venue":null,"work_id":"04ec5e8f-69f2-4ba4-944e-29662aa389d5","year":2010},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.951737Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:8194808265f684126018e72637d004fd192552c665eab0093ea8258d6c77f48f","observation_id":"3afac5a8-59f7-45c1-b55c-fa4b45f7d8eb","resolution":{"observed_at":"2026-08-12T14:56:39.835032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.806429Z","title":"Hyperbolic conservation laws in continuum physics, volume 3","venue":null,"work_id":"cdcb72ce-403c-43a6-a7bb-e46def7f7c6d","year":2005},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.958092Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:b42060b3c5b6192cf1e26e567d16ff88bad5807408e914a62f6a36787cca0ea7","observation_id":"9bf793ce-b7d2-448d-ba3b-5d6057f46f6e","resolution":{"observed_at":"2026-08-12T14:56:39.812786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.784922Z","title":"Local well-po sedness for the motion of a compress- ible, self-gravitating liquid with free surface boundary","venue":null,"work_id":"7716a231-7fa8-4d83-bad2-4139506b96f8","year":2020},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.967831Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:5e3bb272e3f2f7d7ac25b22c41a6a010937d70cca3b6b86ac42127bd737149e9","observation_id":"4c1ca2c2-5a67-4b0b-953f-af858cb53339","resolution":{"observed_at":"2026-08-12T14:56:39.791366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.13354","last_updated":"2021-12-15T15:24:36Z","snapshot_observed_at":"2026-07-06T09:51:22.680082Z","submitted_at":"2020-08-31T04:30:50Z","title":"Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension","version":3},"cited_work":{"arxiv_id":"2008.13354","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.13354","snapshot_observed_at":"2026-08-12T14:56:39.291666Z","title":"Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension","venue":"math.AP","work_id":"cbecbd2b-25e8-4803-8f1a-44398bf3387b","year":2020},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.976893Z"},"links":{"cited_paper":"/paper/2008.13354","citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:886c6f2ea1ea7f38dd88cdf1cb6273bcb6bb762464df8bed75a537669f001661","observation_id":"eaa6e565-4e6a-41c4-8116-9febbfeba608","resolution":{"observed_at":"2026-08-12T14:56:39.298628Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.762316Z","title":"Well-posedness of the free boundary pr oblem in incompressible elastody- namics under the mixed type stability condition","venue":null,"work_id":"0b5fb33c-3a6d-4fce-9f33-863eb496bc21","year":2020},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.984092Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:67ecd4d6bdd8457d1e0c1c54bea3795a77bb212ff9b198240ced803887d1516a","observation_id":"34d08720-e395-4f2c-a9ca-dd6a316e14b6","resolution":{"observed_at":"2026-08-12T14:56:39.769984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.742886Z","title":"Well-posedness of the free bo undary problem for incompressible elastodynamics","venue":null,"work_id":"370e4880-0118-46c8-92e4-00d2e169e83a","year":2019},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.990972Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:dbfca25a6b161189e7db3cf086e416b3d1310a13b1c38319e9a1786463fff670","observation_id":"6dcb7513-4901-4be2-8104-cf79189a1a8f","resolution":{"observed_at":"2026-08-12T14:56:39.748600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.720095Z","title":"Global solutions for incompress ible viscoelastic ﬂuids","venue":null,"work_id":"70956ed6-5cc6-4c0e-a48e-1a6f06346a5c","year":2008},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:38.997954Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:0938e4187b723c620c1125730d1c7bbd2d0ea2758e59a46b189ef0828801dc53","observation_id":"c52a82b2-dcdb-44a0-8872-3cd2eebe7202","resolution":{"observed_at":"2026-08-12T14:56:39.726387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.693389Z","title":"Global existence of classical solutions fo r the two-dimensional oldroyd model via the incompressible limit","venue":null,"work_id":"d4437ede-b0d6-49d2-89ea-a114c57d8ad1","year":2005},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.004943Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:274c5e2c0b155dff0f05a359f2f4c8f568bd5dde3de86210d8b8089bbe0c3cd7","observation_id":"d7486c0f-c39e-4dd2-9d32-811f8adbfc5e","resolution":{"observed_at":"2026-08-12T14:56:39.700784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.675006Z","title":"Well-posedness of the free boundary problem in incompressible elastodynamics","venue":null,"work_id":"2daf52b1-c0fd-42c6-b53a-c2f1956a6b84","year":2019},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.011279Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:a2a75ef79ee8cec94e9de07967b652487786e31b69d4cd70a8748b3d7b914398","observation_id":"95b97c43-d8d3-4f2d-a356-c6d067985d7d","resolution":{"observed_at":"2026-08-12T14:56:39.680638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.657337Z","title":"Well-posedness of the free boundary problem in elastodynamics with mixed stability condition","venue":null,"work_id":"809a242d-6d5d-4d73-9735-330179ee5116","year":2021},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.018876Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:a3d27955e77b0a51627f1cab54f8d4c1ce67be7518a81beff55b6ac36b9e22a6","observation_id":"66ad2681-ec56-4185-a95f-54a6eeb0d504","resolution":{"observed_at":"2026-08-12T14:56:39.662681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.639000Z","title":"On hydrodynamics of vis coelastic ﬂuids","venue":null,"work_id":"1bd4a3a9-7716-45e7-a84c-7fcf0d2487f0","year":2005},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.028956Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:dd815cc1a4b13acd5f0f1c48fa36e1fea0db201f88c092d3c7b147de45982e87","observation_id":"7d8a5514-0cc0-4417-acfc-6216acc289e0","resolution":{"observed_at":"2026-08-12T14:56:39.644636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.620124Z","title":"Some analytical issues for elastic complex ﬂuids","venue":null,"work_id":"598eb796-c21f-4fde-8c38-a3f9f7c6929b","year":2012},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.035519Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:042cec0b2290d4a3199a1933778bfcbd3e00b4f8e16cba352625e3ce930c1018","observation_id":"5adda698-60fa-4bb4-96cc-4c24a7331da8","resolution":{"observed_at":"2026-08-12T14:56:39.625517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.593325Z","title":"On the initial-boundary value problem of the incompressible viscoelastic ﬂuid system","venue":null,"work_id":"092063a6-5bb9-45dc-b1a8-60803b8296e4","year":2008},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.043280Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:c81c8c9e563a9ae9eeaf74fcdaf7522e9eedd179cd06d87a2198b06c88899d77","observation_id":"4e7a32d2-0d9e-4ee2-8e9e-88972bd6c06e","resolution":{"observed_at":"2026-08-12T14:56:39.604066Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0112030","last_updated":"2002-12-21T00:57:54Z","snapshot_observed_at":"2026-07-07T05:28:12.134272Z","submitted_at":"2001-12-04T09:04:57Z","title":"Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary","version":4},"cited_work":{"arxiv_id":"math/0112030","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0112030","snapshot_observed_at":"2026-08-12T14:56:39.246382Z","title":"Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary","venue":"math.AP","work_id":"7806c160-9136-4f97-8d09-6b94a1045d96","year":2001},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.050948Z"},"links":{"cited_paper":"/paper/math/0112030","citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:ada5b8ba5fdc800debe21318fd3079166994a2eebe77cf6791af6e10a6c34c8b","observation_id":"e6a8f968-6dcb-4252-af13-1db07ce91c8e","resolution":{"observed_at":"2026-08-12T14:56:39.255881Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.573535Z","title":"Well-posedness for the motion of an incompressib le liquid with free surface boundary","venue":null,"work_id":"c96dc457-66d1-4b6a-9453-01a39c122364","year":2005},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.057478Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:0475fb4b2821a4fb301c27ab70e96aee7c6062477551f4dbc1e9627c0622e18d","observation_id":"aa543e62-3b36-4bc3-a27c-bad29dcbcaf2","resolution":{"observed_at":"2026-08-12T14:56:39.578808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.03600","last_updated":"2026-04-26T13:21:17Z","snapshot_observed_at":"2026-07-06T14:15:17.474527Z","submitted_at":"2022-11-07T14:44:43Z","title":"Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.03600","snapshot_observed_at":"2026-08-12T14:56:39.065202Z","title":"Compressible gravity-capillary water waves with vorticity: Local well-posedness, incompressible and zero-surface-tension limits","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.065202Z"},"links":{"cited_paper":"/paper/2211.03600","citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:f93ba55ed827a7ae8ca7d7dc8f0b09ec98d01fc53360a7fe83b450f20222883c","observation_id":"0fb59932-7ca0-4ad7-aa85-c815d53fc8dc","resolution":{"observed_at":"2026-08-12T14:56:39.065202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.549857Z","title":"Small viscosity and boundary layer methods: theory, stabil ity analysis, and applications","venue":null,"work_id":"f901a93c-6b48-4356-8027-85a7b711db81","year":2012},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.071992Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:5a92756feede7ea93c6a553b97ace663b00db53aa4922d78fdc3bf574495bea8","observation_id":"d231cfda-e3f1-4a85-8bba-fc119d33edba","resolution":{"observed_at":"2026-08-12T14:56:39.555976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.530205Z","title":"On the three-dimensional euler equations with a free boundary subject to surface tension","venue":null,"work_id":"68ddfb71-9dc1-4b43-af9a-7c4d893848f1","year":2005},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.079606Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:6ad2d92616ddcbe28566c67d244725fad3f49b6e5b8b4af6ebb34bdb319e4298","observation_id":"eb995595-6e28-49f5-b7aa-32372dce3446","resolution":{"observed_at":"2026-08-12T14:56:39.537648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.503905Z","title":"Geometry and a priori estim ates for free boundary problems of the euler’s equation","venue":null,"work_id":"d53bef98-f020-4899-b313-9c9e826c80a7","year":2008},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.087897Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:120a534c87ee1a78da8233e69f6b48118772a7e66283b6840dc9098aabdaae3c","observation_id":"e00c9dd6-59c7-442c-afb4-3b9988e779e2","resolution":{"observed_at":"2026-08-12T14:56:39.514157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.483356Z","title":"A priori estimates for ﬂuid in terface problems","venue":null,"work_id":"d1f49ea8-4f6c-44a2-ad86-913091205819","year":2008},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.102970Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:fe6cdfa32ef6daff28f4417ec02ce2be77a93c723a8972dc72fa0a71c3573e5f","observation_id":"16c1b57f-35a2-4e27-ab79-a9c753ca02f7","resolution":{"observed_at":"2026-08-12T14:56:39.490360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.461128Z","title":"Local well-posedness for ﬂ uid interface problems","venue":null,"work_id":"0be539de-31e9-465f-b0fd-a556c559576f","year":2011},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.109464Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:48a76f7bdedffbdcd7346db3545b75ed6be6a792e4344640f2d04c71ab8e3c91","observation_id":"bcacb87b-86e3-43e4-bb94-4b318f2f5410","resolution":{"observed_at":"2026-08-12T14:56:39.468819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.441468Z","title":"Well-posedness in sobolev spaces of the full water wav e problem in 2-d","venue":null,"work_id":"cb6e164b-5e2f-410b-b0d8-350202c07f42","year":1997},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.115019Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:e5adea7714d37296680754f8a17d393c8c323915641de768d45a52047ad9cdf8","observation_id":"db384745-5432-4896-92cb-911f951daaff","resolution":{"observed_at":"2026-08-12T14:56:39.447418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.417601Z","title":"Well-posedness in sobolev spaces of the full water wav e problem in 3-d","venue":null,"work_id":"0eb9b056-0cd1-464f-89f3-bc34a15df5d5","year":1999},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.120814Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:3a39b5a2527b1cdd67e7e388635256f61d3c16680cdef689ccef7c8b0c2a6820","observation_id":"cc0cfd47-6fba-4682-9a1c-be14bb28ad9a","resolution":{"observed_at":"2026-08-12T14:56:39.425691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.375517Z","title":"On the free-boundary incompressible elastodyna mics with and without surface tension, 2024","venue":null,"work_id":"711c4aad-20ec-4b98-9405-ac1f6f603e84","year":2024},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.127102Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:9aa03d9f6e5dade64fcec48b294bca8c6ae55c7921a945b6413df2712ed4c86a","observation_id":"9630457f-891e-4bda-92ae-c758e82afb3e","resolution":{"observed_at":"2026-08-12T14:56:39.395318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.343539Z","title":"Local well-posedness and incompressible limit of t he free-boundary problem in com- pressible elastodynamics","venue":null,"work_id":"346647b3-abf1-4908-8b96-e0135ea52569","year":2022},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.132877Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:aed08e14307edaa5dee027541ee9bf0e0582d85f2d94fffde58a5225bf58081d","observation_id":"0487a224-6a28-4e0d-a2ce-1a83431dc54f","resolution":{"observed_at":"2026-08-12T14:56:39.351238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.11254","last_updated":"2025-07-31T14:44:42Z","snapshot_observed_at":"2026-08-13T04:59:27.169626Z","submitted_at":"2023-12-18T14:51:49Z","title":"Well-posedness and Incompressible Limit of Current-Vortex Sheets with Surface Tension in Compressible Ideal MHD","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.11254","snapshot_observed_at":"2026-08-12T14:56:39.139786Z","title":"Well-posedness and incompressible limit of curren t-vortex sheets with surface tension in compressible ideal mhd","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.139786Z"},"links":{"cited_paper":"/paper/2312.11254","citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:5a61ac37521f02b76536d5013e0b2c9ceb0bb50a54f1357b373ec37132d1febf","observation_id":"4e856cff-2d07-4c93-b795-c7c9d81e2b05","resolution":{"observed_at":"2026-08-12T14:56:39.139786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:56:39.321612Z","title":"On the free boundary problem of t hree-dimensional incompressible euler equations","venue":null,"work_id":"b8b2f02e-53ad-4ed8-b74d-f7c39bfadc85","year":2008},"citing_paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T14:56:39.146097Z"},"links":{"citing_paper":"/paper/2411.14840"},"observation_digest":"sha256:c76143c625047ec77cefdbe2076868154afff3a40d926066f31526acb837b22c","observation_id":"ecc0f464-de35-4e16-a183-adcea57dd825","resolution":{"observed_at":"2026-08-12T14:56:39.329494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.14840","last_updated":"2025-01-07T14:14:22Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T02:35:15.428344Z","submitted_at":"2024-11-22T10:27:30Z","title":"Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":31},"total_outbound_references":35},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2411.14840."}