{"as_of":"2026-08-13T01:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c21f430980bc00fb9747cda73409296e2bd1def49097104c11658f0efc3154d7","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:17:54.243678Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"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/2411.13726/citation-record","integrity":"/paper/2411.13726/integrity","json":"/paper/2411.13726/citation-record.json","paper":"/paper/2411.13726"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:17:54.758660Z","title":"Caffarelli and Avner Friedman","venue":null,"work_id":"2147011c-ada8-438a-b451-713c718325af","year":1979},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.095978Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:810faeceec08eb4953dd81f09f544eca1ba10b592f07a8f4b00d9d4a2008baf1","observation_id":"c6d2abf4-ae12-49e2-beba-3df628c09656","resolution":{"observed_at":"2026-08-12T16:17:54.775135Z","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":"2026-08-12T16:17:54.730285Z","title":"General relativity and the Einstein equations","venue":null,"work_id":"8038fad0-c8d5-4d34-ae4e-2b1c1bc9820f","year":2009},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.102941Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:9844657f7f334cdacdb00e5fa36caf31890df52b909da19cbb9e343a0217bdf1","observation_id":"b6528887-33e5-4e93-9e94-769028ad41ba","resolution":{"observed_at":"2026-08-12T16:17:54.738118Z","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":"2026-08-12T16:17:54.703970Z","title":"Disconzi","venue":null,"work_id":"bfe42a9c-31a2-4265-b4d4-9759c0db8a8b","year":2023},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.111003Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:5724eee8958821e2d445d3597a6f40bdd2a8b012c2cdf9f3596c14f4bde31c71","observation_id":"8077be99-5ae4-40be-811b-7ef2c5954529","resolution":{"observed_at":"2026-08-12T16:17:54.713732Z","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":"2026-08-12T16:17:54.680803Z","title":"Disconzi, Mihaela Ifrim, and Daniel Tataru","venue":null,"work_id":"f2882d46-a5a9-4c26-9e11-e0dfa5fcf9e3","year":2022},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.116752Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:9e32de2f0c54805469ca014f24d350ed5ad564404abce7f9ba3c9d3bbcc6c214","observation_id":"e057b3d6-5046-4ece-9201-ce0dd8dce1f3","resolution":{"observed_at":"2026-08-12T16:17:54.688127Z","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":"2026-08-12T16:17:54.659860Z","title":"Disconzi, Igor Kukavica, and Amjad Tuffaha","venue":null,"work_id":"ef65640c-62e3-489e-836a-bd872f188162","year":2019},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.123075Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:7a5fe676efbc9ebb30f93a37bd73dd00cef170837faf14ffae35b0917b27a115","observation_id":"38e6251d-6ea8-4912-b533-69d4d859c1c2","resolution":{"observed_at":"2026-08-12T16:17:54.665752Z","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":"2026-08-12T16:17:54.635431Z","title":"A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary","venue":null,"work_id":"2866cd65-8c82-4e18-9d28-79830c5b492c","year":2019},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.129203Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:0e443ad9f041ae3feddc48c2b2b622c3985489816e977aa0fe73d1359190d764","observation_id":"fdb56721-ab51-4f05-b447-33a6aebb6083","resolution":{"observed_at":"2026-08-12T16:17:54.643248Z","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":"2026-08-12T16:17:54.615644Z","title":"The compressible euler equations in a physical vacuum: A comprehensive eulerian approach","venue":null,"work_id":"05d3409a-e453-448f-8773-c88c50f5b3df","year":2020},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.135409Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:d76dc0f513593548908a497a5ba7707c5362a8363edcd8139a83379bdfaffb6d","observation_id":"2520afbd-2538-4d80-9098-8d64e19e4f45","resolution":{"observed_at":"2026-08-12T16:17:54.620901Z","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":"2026-08-12T16:17:54.595468Z","title":"LeFloch, and Nader Masmoudi","venue":null,"work_id":"7efd66ef-c87f-4e35-81db-d5e55e564868","year":2016},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.144114Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:6a4376df4401f4b64e85ffff7868b6ed80d0b5ba1c1cfcdf1e9b1288b08af991","observation_id":"f68b1370-6d17-4f20-84f2-3c02e7ee033d","resolution":{"observed_at":"2026-08-12T16:17:54.601332Z","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":"2026-08-12T16:17:54.576807Z","title":"LeFloch and Seiji Ukai","venue":null,"work_id":"645cbc9f-fa52-4607-99b1-f13c88f6d19c","year":2009},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.152170Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:7201aab85bdb92f8c41ba07d3f3f01500ad9469eade7c4fdef274bdfff76c900","observation_id":"032258c0-2c21-4504-a5fd-b7131c1234a3","resolution":{"observed_at":"2026-08-12T16:17:54.581701Z","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":"2026-08-12T16:17:54.557902Z","title":"Local smooth solutions of the relativistic Euler equation","venue":null,"work_id":"c4893130-a30d-46f7-92f1-bb68f8f5c889","year":1995},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.157579Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:4433ca41ce423c9334223e54dc8b4d2561b017f91fa9991c69a6be07d0e2d3fd","observation_id":"9d55383a-909e-494a-ab2b-70277a70905c","resolution":{"observed_at":"2026-08-12T16:17:54.564540Z","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":"2026-08-12T16:17:54.538118Z","title":"Free boundary problem for the equation of spher- ically symmetric motion of viscous gas","venue":null,"work_id":"3f0b9a17-a72b-4a8d-8ee6-67456c955797","year":1997},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.163525Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:b215beb9457f87132a57d2a5cf6e06fd934b2c3dc351cb6893591fe0a8199d2d","observation_id":"9ee55655-9702-4793-b4b7-fdb9ea3146b2","resolution":{"observed_at":"2026-08-12T16:17:54.544157Z","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":"2026-08-12T16:17:54.517548Z","title":"Well-posedness for the free boundary hard phase model in general relativity","venue":null,"work_id":"2f8c2790-1305-40be-88ed-35d8e520b7b0","year":2024},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.171213Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:95343a9f8da440b06dfea930d7b5b80565d0386d74aa68899e16382f22aa0920","observation_id":"79eed5b5-0b83-4618-a208-f0b0615d215a","resolution":{"observed_at":"2026-08-12T16:17:54.524003Z","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":"2003.02987","last_updated":"2020-05-25T01:16:11Z","snapshot_observed_at":"2026-08-12T05:38:35.061899Z","submitted_at":"2020-03-06T01:15:46Z","title":"Well-posedness of the free boundary hard phase fluids in Minkowski background and its Newtonian limit","version":2},"cited_work":{"arxiv_id":"2003.02987","doi":null,"metadata_source":"pith","pith_arxiv_id":"2003.02987","snapshot_observed_at":"2026-08-12T16:17:54.295852Z","title":"Well-posedness of the free boundary hard phase fluids in Minkowski background and its Newtonian limit","venue":"math.AP","work_id":"db4064a8-fe81-4660-809a-568d04507197","year":2020},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.179436Z"},"links":{"cited_paper":"/paper/2003.02987","citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:dfa7de40bf1f7374a520a7fad04dc80318ee4d4a745f6e5a278696d713860fb2","observation_id":"5e633282-d8b3-4d92-b09d-36e4bb076a7b","resolution":{"observed_at":"2026-08-12T16:17:54.303951Z","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":"2026-08-12T16:17:54.489814Z","title":"Oppenheimer and G.M","venue":null,"work_id":"cfe8b67e-2083-48e8-8ba6-3f30bd06a433","year":1939},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.194808Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:dde281856bd312f108687eb520379dca39aaac6c5a85cad59643b2fbf26fde3b","observation_id":"dbbc0896-1555-400e-bc90-18ca100af8ee","resolution":{"observed_at":"2026-08-12T16:17:54.495834Z","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":"2026-08-12T16:17:54.471119Z","title":"Relativistic Hydrodynamics","venue":null,"work_id":"3d00e7a1-49cb-4c66-9edd-54298230a830","year":2013},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.200700Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:86c2885cb3ce198dc469ed936659f3122a07837681778257c9da68306e5e7fff","observation_id":"c6c78c68-fc8b-419b-a0ea-04af4749d611","resolution":{"observed_at":"2026-08-12T16:17:54.477310Z","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":"2026-08-12T16:17:54.451790Z","title":"Geometry and a priori estimates for free boundary problems of the Euler equation","venue":null,"work_id":"c54b14f2-ce08-4278-8cf8-c417f8f9443d","year":2008},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.211736Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:cc80aafa924f0763018b4b689eac9d7114a43e413fa0c83ab381a41da8892711","observation_id":"535b0998-1486-4bfd-ab75-d9a0fb3b8ff9","resolution":{"observed_at":"2026-08-12T16:17:54.457776Z","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":"2026-08-12T16:17:54.430548Z","title":null,"venue":null,"work_id":"5e481829-db34-49f5-b962-4eccdd49a960","year":1934},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.219189Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:64f432f146b3b29634cb021f8690493072a9ab4ed5a5dd361cc05c5638229865","observation_id":"2bd91897-bc8a-4731-829e-b685addae473","resolution":{"observed_at":"2026-08-12T16:17:54.436458Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:17:54.227345Z","title":null,"venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.227345Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:ba34be5415ecd01e05186b2d426739544d267ffca6f94b7a88fbc0c4f2d0aee3","observation_id":"54432e8b-91ef-46e1-877c-cf35924c08e4","resolution":{"observed_at":"2026-08-12T16:17:54.227345Z","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":"2026-08-12T16:17:54.353332Z","title":"Local existence for the free boundary problem for nonrelativistic and relativistic compressible Euler equations with a vacuum boundary condition","venue":null,"work_id":"cab5f461-5aee-4d66-8262-e7c9be2d9383","year":2009},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.234422Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:b4f9221ac09cc90e0f2c08774d6da26a046b6bc1efd90779a2a9ca7b068ec8fc","observation_id":"304a0811-40fc-4838-8df8-fac87c9fca5b","resolution":{"observed_at":"2026-08-12T16:17:54.388156Z","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":"2026-08-12T16:17:54.319448Z","title":"On the free boundary problem of three-dimensional incompressible Euler equations","venue":null,"work_id":"906b6723-b487-4a7a-aa96-a299d276ae7f","year":2008},"citing_paper":{"arxiv_id":"2411.13726","last_updated":"2024-11-20T22:03:26Z","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:17:54.243678Z"},"links":{"citing_paper":"/paper/2411.13726"},"observation_digest":"sha256:cdc4984a9b9650cb0f98ab163c8ef7a6c7a88f3ecf117f2c143807acb7835d7c","observation_id":"da12228f-d2d2-416d-8514-746f2ca9265f","resolution":{"observed_at":"2026-08-12T16:17:54.328737Z","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":"2411.13726","last_updated":"2024-11-20T22:03:26Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T15:55:12.234635Z","submitted_at":"2024-11-20T22:03:26Z","title":"A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":1,"verified_fuzzy":17},"total_outbound_references":20},"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 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2411.13726."}