{"as_of":"2026-08-09T17:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d58b4fac64667b845e4eb9767699df2fb6e97ea02f3dc7161e0c476b8b4a69a7","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T10:51:06.340580Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2507.23572/citation-record","integrity":"/paper/2507.23572/integrity","json":"/paper/2507.23572/citation-record.json","paper":"/paper/2507.23572"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T10:51:06.818302Z","title":null,"venue":null,"work_id":"d29609ad-0a20-4f7e-b536-6a0e3c612527","year":1997},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.193318Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:e7ff30ba5ed3ca9daec3b1f8e02e017ecc5a390941cc052f678c05d463a47b7d","observation_id":"8ceadc25-f880-4d09-b0eb-0a6a44a67ef8","resolution":{"observed_at":"2026-08-06T10:51:06.820707Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.811121Z","title":null,"venue":null,"work_id":"438cd754-5a8e-4184-ae87-8172dbe8293e","year":2024},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.197009Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:544f296ffe5d0e322287b4bb02fa47998304dbea929d08ae9da5deea3ca469da","observation_id":"ad33557c-6ecb-4b8a-a9dd-5c99963c6666","resolution":{"observed_at":"2026-08-06T10:51:06.813532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.803555Z","title":null,"venue":null,"work_id":"247c39c7-9ea9-40d5-8263-3dcfeef2229f","year":2024},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.199738Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:19725c3089f8615e6c14da89fa783c8e22d7fe9586c6d40122dedb96abaec2b4","observation_id":"d5f8d7b2-6c69-4a5a-8422-e719aa4c8921","resolution":{"observed_at":"2026-08-06T10:51:06.806233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.796122Z","title":"Bae and B","venue":null,"work_id":"6c008604-eb18-42e5-9068-34bf902b8e45","year":2019},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.202465Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:ecfb9582f3f1e3fe6f9aad04d194fc2864693c7ea43ff34e4095734f38d855e6","observation_id":"1ec7743a-ca3d-45c2-b784-0756cd541818","resolution":{"observed_at":"2026-08-06T10:51:06.798514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.788680Z","title":"Bae and B","venue":null,"work_id":"006b8e49-5f9f-414f-90ec-802bfedf25d9","year":2022},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.205092Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:20c4c15f50e31d3e61d545cc7ec27fc8e1c565b03323548dfea0607a6929ea47","observation_id":"f785a911-7b31-415d-8fa0-03a52f8fb617","resolution":{"observed_at":"2026-08-06T10:51:06.791392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.781600Z","title":"Bahouri, J.-Y","venue":null,"work_id":"c4c1ff45-741b-45ab-a840-22619d285c96","year":2011},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.207667Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:f8d742a895ca565099aa7c35fa15f430f5729a5a6d6835404178d833166adec0","observation_id":"3023d488-bb2b-411a-b2b0-f34f748e6e4d","resolution":{"observed_at":"2026-08-06T10:51:06.783968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.07004","last_updated":"2024-11-11T14:02:47Z","snapshot_observed_at":"2026-08-02T22:48:15.891169Z","submitted_at":"2024-11-11T14:02:47Z","title":"Asymptotic stability of the sine-Gordon kink","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.07004","snapshot_observed_at":"2026-08-06T10:51:06.210577Z","title":"Chen and J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.210577Z"},"links":{"cited_paper":"/paper/2411.07004","citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:2385dd747ce6c0017345abd164b56d0131da294a5c11b14f3f1687e3891729b1","observation_id":"06ce7722-e9f3-4bcd-9a70-521806be3390","resolution":{"observed_at":"2026-08-06T10:51:06.210577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.03668","last_updated":"2023-06-06T13:31:38Z","snapshot_observed_at":"2026-07-06T15:39:10.697564Z","submitted_at":"2023-06-06T13:31:38Z","title":"Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schr\\\"odinger Equations","version":1},"cited_work":{"arxiv_id":"2306.03668","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.03668","snapshot_observed_at":"2026-08-06T10:51:06.374840Z","title":"Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schr\\\"odinger Equations","venue":"math.AP","work_id":"475972e3-fceb-48a0-99c7-371120ca4890","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.213392Z"},"links":{"cited_paper":"/paper/2306.03668","citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:4d8d526ea49f77dd90a1ec114dde065a67744c211dd252f882da3c3bc8540762","observation_id":"ff039c59-de37-4d85-b2ce-eda4bb183fa4","resolution":{"observed_at":"2026-08-06T10:51:06.379767Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.774541Z","title":"Cordier, P","venue":null,"work_id":"711466e5-9af4-47cb-a005-71dfe48df6ea","year":1996},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.216219Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:54e90d4c87655fa4f001ee85e14993fa7fcbc8d8f19390ee125e215afd92c81b","observation_id":"ce011bb8-e05f-4e9a-a95b-e355854f8a66","resolution":{"observed_at":"2026-08-06T10:51:06.777042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.767092Z","title":"Cuccagna","venue":null,"work_id":"e91ca52d-bb6f-4a78-8402-28a54b490141","year":2008},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.218958Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:410a353dc3a97d7cf6c2b4e9f10d7ef88ca643fa64dd8711224e284c673661cd","observation_id":"de714151-3ec2-4aba-8422-58d081e6ac9b","resolution":{"observed_at":"2026-08-06T10:51:06.769601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08222","last_updated":"2021-04-16T16:57:31Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:57:31Z","title":"The non-linear stability of the Schwarzschild family of black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08222","snapshot_observed_at":"2026-08-06T10:51:06.221394Z","title":"Dafermos, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.221394Z"},"links":{"cited_paper":"/paper/2104.08222","citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:bf07ba8f642be796954261a07ccd474b2c3d7ba95ddaf90a3944378b065293a0","observation_id":"78d677d5-16e8-49c2-90ef-e0b1bff4e7e6","resolution":{"observed_at":"2026-08-06T10:51:06.221394Z","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":"2026-08-06T10:51:06.760002Z","title":"Dell’Oro and D","venue":null,"work_id":"d3867fe7-3abe-4408-a7c1-90c6bef8a9c1","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.224241Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:ea535de262d81fe4ee8a3a869e1cf32e64ec2f3aa2c85f506e0e6a79c7cd55a4","observation_id":"268bc82c-14b1-4ef9-9993-aa849f3a605c","resolution":{"observed_at":"2026-08-06T10:51:06.762395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.752730Z","title":"Delort and N","venue":null,"work_id":"a6ea3a25-4e19-4ad2-8177-d8d14cc195fd","year":2022},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.226888Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:50e73de88ae8f27ddc90a9d2999290d7d130a573038241a181e3205210744df4","observation_id":"1e93f3a2-90e2-447e-8812-6254572fb529","resolution":{"observed_at":"2026-08-06T10:51:06.755337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.745209Z","title":null,"venue":null,"work_id":"0af4c5ed-1cb0-4407-badc-122c9bd7fb18","year":2017},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.229184Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:9ba400d721c4b1a2ce0de20c354b6fedbda29edd547205b81b4c853c39868cd1","observation_id":"2743ba45-d11d-46b7-bdf9-3e97102db32c","resolution":{"observed_at":"2026-08-06T10:51:06.747588Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.737930Z","title":"Faye and L","venue":null,"work_id":"39d6cb47-0365-4d93-b50d-a4cdd4b0da44","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.231544Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:893e1d09e4e083bb91222c03e2007fad7b025f3876870e1e605fe0d0372a83b9","observation_id":"fa054788-cd96-4cc6-b379-2760302702ab","resolution":{"observed_at":"2026-08-06T10:51:06.740374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.730651Z","title":"Gearhart","venue":null,"work_id":"b3c60ce5-2e42-408e-ad4f-90f32e725ebc","year":1978},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.234369Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:73bf40fe8cd6cb78213512f45cb0480d0355eaab65cc0915b4e01a16b79a7ab9","observation_id":"4b001969-9d2e-431d-ac48-09b1f1c9e930","resolution":{"observed_at":"2026-08-06T10:51:06.733289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.723434Z","title":null,"venue":null,"work_id":"48c2f193-ddb9-4d53-b612-d724c5892a7f","year":2010},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.236731Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:4e2dd7f89de3fa43fa63cb75d4a4051a18038c2ad6b9adf0a0865afec287b9a8","observation_id":"453097b8-182a-4908-9e6f-f76e82c592bb","resolution":{"observed_at":"2026-08-06T10:51:06.725856Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.716223Z","title":"Germain, N","venue":null,"work_id":"0ca142d5-0031-43d5-93de-543a219ed5fc","year":2009},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.239370Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:e3c60d8f05b16a9ccbf88f9f77eff30c9cca31cdccaa5d084cdba3fafbaec35f","observation_id":"65222bc7-8848-4f36-b0c5-34e28af8ce58","resolution":{"observed_at":"2026-08-06T10:51:06.718639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.708952Z","title":"Germain and F","venue":null,"work_id":"66e42503-bc37-405a-8ad8-ff58dc136048","year":2022},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.242119Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:eb0204816567ab84093026409ffbb747ce6beb0fda96dd68f79f92c989383c73","observation_id":"4c9f6f14-2aaf-4c3c-bd27-ee48c2f97d12","resolution":{"observed_at":"2026-08-06T10:51:06.711359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.701793Z","title":"Germain, F","venue":null,"work_id":"3751a5b2-29af-44f4-bcea-601309def01a","year":2016},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.244639Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:2806e1d3f9d55ac638b34550d883e2b6a233b2b516db34f9b513ec65a7babb4a","observation_id":"9c2d9132-7f6e-4aa8-9054-9e65c080e6c7","resolution":{"observed_at":"2026-08-06T10:51:06.704183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.694474Z","title":"Grafakos.Classical Fourier analysis, volume 249 ofGraduate Texts in Mathematics","venue":null,"work_id":"d86df6f6-bb70-4a63-afa1-71af8583a9b1","year":2008},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.247036Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:b42cda481045fe341e1c4c0d00387aeead833b9f4dd38b3065b912f3fd3fbd6b","observation_id":"876506a0-cd6d-40cf-8484-610e1c0f0234","resolution":{"observed_at":"2026-08-06T10:51:06.697097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.687206Z","title":"Grenier, Y","venue":null,"work_id":"e555d721-ed1f-4808-a875-9d594c2a2628","year":2020},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.249487Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:85cfc4dd943c201c84330cddce29d5327744405974007033235ba541f6245f22","observation_id":"90650922-1052-42e5-9989-0ae007e71704","resolution":{"observed_at":"2026-08-06T10:51:06.689642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.680090Z","title":null,"venue":null,"work_id":"822039e9-78b8-4075-89bf-ce19dabc33ae","year":1998},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.251759Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:6fcd11336d632d79fcb8abeeac7aef5e0ce20bdae026e85185e45a71d130c035","observation_id":"c98a746f-c2a5-40c4-aee8-01f95b16bfe3","resolution":{"observed_at":"2026-08-06T10:51:06.682529Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.672526Z","title":null,"venue":null,"work_id":"1f072481-e40e-4b0e-9039-910df24b95aa","year":2017},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.254140Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:fff179a0ef1b0ee2a21d815927673606aab0699bd61463d5e1ce1de4db0ac345","observation_id":"93fef215-3374-4436-b4a5-5ce462edea67","resolution":{"observed_at":"2026-08-06T10:51:06.675305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.665047Z","title":"Guo and B","venue":null,"work_id":"889d345e-18ff-4473-86e9-b2ea2052a1be","year":2011},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.256797Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:f40c3a8cdd4bc5ff449d0015d324424c4a044286f6aeb0ff0b91b93a100f2819","observation_id":"e1be9f82-c96f-4fe7-9f1f-a292dcba7483","resolution":{"observed_at":"2026-08-06T10:51:06.667485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.657703Z","title":"Guo and X","venue":null,"work_id":"9d61a8b6-c358-48e2-b468-c175c30254e3","year":2014},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.259313Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:2a2d5f9716a7d99abf69cefbe7d0a4e873c9beb8aec62ce8ee0944b7680a9d77","observation_id":"f7eb3b27-8134-45ad-9321-c865c144d8c1","resolution":{"observed_at":"2026-08-06T10:51:06.660150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.649887Z","title":null,"venue":null,"work_id":"8629f2cd-523e-4fad-bf0b-0e2fc10784f9","year":2008},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.261604Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:06be7d297ce8c1c0a2b82ca2f8bcd840cacec0adf78676e73d4f6e53f3740acd","observation_id":"8719dfbb-16d2-45c9-8f5f-6c31c03f26b6","resolution":{"observed_at":"2026-08-06T10:51:06.652388Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.642612Z","title":"Gustafson, K","venue":null,"work_id":"2a89d3ba-4cb8-4d3b-8646-5bbe851c87df","year":2006},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.264032Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:f1d02c826146287ab5364ff2e3444755eb72426edbdb542addc5a677207870b1","observation_id":"af3f8416-036f-4968-8307-f1fa23dcc474","resolution":{"observed_at":"2026-08-06T10:51:06.645053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.634962Z","title":"Haragus and A","venue":null,"work_id":"3b621f98-3651-40e6-9c5c-c4703f0f285d","year":2002},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.266368Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:0672f9f160c6096f213ab9c3fc3dbe4fd4d90e0faf7f4ae2c14e319525d9336c","observation_id":"059647d7-284f-467e-9b09-eb32e6f0f046","resolution":{"observed_at":"2026-08-06T10:51:06.637655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.627337Z","title":null,"venue":null,"work_id":"0a92a5be-c67d-4915-80e9-2995c2b34292","year":2013},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.268791Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:68089e79409b39d13bed79124a7c081b294e3ca0f2c055b53b646d6a880beb43","observation_id":"f36ba637-1714-4a3b-9198-8e6495e9ffe5","resolution":{"observed_at":"2026-08-06T10:51:06.629770Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.619418Z","title":"Kato.Perturbation theory for linear operators, volume Band 132 ofDie Grundlehren der mathematischen Wis- senschaften","venue":null,"work_id":"6d92ebbd-9464-49f6-89a9-b1036c0dd167","year":1966},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.271115Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:bee8098dca3087c8aaf0050ea57567545dc83b2146700b1b72b00ddecabb171a","observation_id":"e133a35f-edc4-4de7-b096-5edafc4aa62f","resolution":{"observed_at":"2026-08-06T10:51:06.622276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.611540Z","title":"Klainerman and J","venue":null,"work_id":"7fca8a60-c615-4f5a-b8a0-6f757597e577","year":2020},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.273523Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:7f11bfb1936c0db9b32f289302c7c7e64946d891c54b96ba686e0d090dff609b","observation_id":"d3bd9c7c-9bdc-4099-8316-cccce80ec846","resolution":{"observed_at":"2026-08-06T10:51:06.614338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.603560Z","title":"Klainerman and J","venue":null,"work_id":"8739b64e-e23e-40d7-b70a-ecf08ddc1b05","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.275927Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:dbdc02cd17bd43a315ec9c5d38eb7fc489e96fc5d821bd1536c1d80fbb5f5e06","observation_id":"d8cfbd67-ae00-4bd0-9cf1-52e851fe801e","resolution":{"observed_at":"2026-08-06T10:51:06.606278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.595167Z","title":"Li and Y","venue":null,"work_id":"e1845a34-ca42-4a91-82ab-0fd7ad516ab9","year":2014},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.278456Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:580d4946e4a9a6979ab83e3c670e50e8d1655c2e7ec632158b91ddfea0906294","observation_id":"3615cf52-2cbd-4ef5-911b-980b4b6677ff","resolution":{"observed_at":"2026-08-06T10:51:06.597736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.587048Z","title":"Lührmann and W","venue":null,"work_id":"28ad17af-d809-4747-a7e7-6486f1c16dd9","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.280892Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:5ce71fcde4b9e75beeb4fda5d7e342fd914965706b9c0ffa4346bcee79d13521","observation_id":"4701142c-53fa-48c2-96f6-3b5dc35edf44","resolution":{"observed_at":"2026-08-06T10:51:06.589715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.579147Z","title":"Lührmann and W","venue":null,"work_id":"d13e11c7-8acc-4468-8d61-efb7c9bf347a","year":2024},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.283281Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:bf4cb377d11c141cf1cf35571193bc252dbc90fcd4d08c5886677f1bcac7278e","observation_id":"6efb6120-cfad-47cd-a83f-98b0da4fa5d9","resolution":{"observed_at":"2026-08-06T10:51:06.581720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.571434Z","title":"Lührmann, S.-J","venue":null,"work_id":"efd0ce64-490d-4001-bb78-81c9f9a350b0","year":2025},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.285693Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:ede9fab6645e159ef60242df55dd8f97c7128dbf5418aede7ef54543b88badb5","observation_id":"aafc297e-c188-42c5-88dc-34903f59b34f","resolution":{"observed_at":"2026-08-06T10:51:06.573919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.563505Z","title":"Martel and F","venue":null,"work_id":"521e6d4b-d794-41d4-b2df-07119cf5ebb1","year":2008},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.288052Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:530b8b9b05f072e117540f42902c574afb255f658d4e0b889d46fbf85ec41e5e","observation_id":"6218d6c6-b1fe-4f39-a5ef-7cde91964807","resolution":{"observed_at":"2026-08-06T10:51:06.566086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.290375Z","title":"Mascia and K","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.290375Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:b4e56b566df48c22da2a48fe403b8611407e50050496607060c4aaad9ebda870","observation_id":"32b88207-9f62-4079-9cfc-86ec6647e3fb","resolution":{"observed_at":"2026-08-06T10:51:06.290375Z","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":"2026-08-06T10:51:06.550676Z","title":"Mizumachi","venue":null,"work_id":"e81dc67c-7e1c-4c7e-acd0-4e116cf3da6c","year":2009},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.292701Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:72e55a63491b2b7b952de9256fe46a15b8339334ef28e766b5001c16480675f0","observation_id":"1167bc64-5faa-4790-8a93-067731d6cf8a","resolution":{"observed_at":"2026-08-06T10:51:06.553415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.543220Z","title":"Mizumachi","venue":null,"work_id":"b847ea28-21f8-458a-86b8-41dba2ab2738","year":2015},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.295049Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:9f9be181107c33fcce5560de1b239c6515740aeb1d9f3e51b938ea5d2774e376","observation_id":"e1b40ed6-9ca9-4f56-88c5-8771c188ac24","resolution":{"observed_at":"2026-08-06T10:51:06.545822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.535780Z","title":"Mizumachi and Y","venue":null,"work_id":"b190b4e9-5ecf-4fab-bc1e-0d6babbb1d76","year":2017},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.297618Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:18d23a18d2025fe4b15fbd34d3e5c62bf4b7900889d6752aadadf1f1e551c6f5","observation_id":"120f0987-b230-408e-ae95-f6d17517256b","resolution":{"observed_at":"2026-08-06T10:51:06.538257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.528294Z","title":"Mizumachi and Y","venue":null,"work_id":"42e06064-0647-4c5e-9b61-77ac324915cd","year":2020},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.299984Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:18e0fc9f0b0aa9e052d7e5be3c1069b9f6e607654c6f99053312e2f372854bc7","observation_id":"7925d3d9-70eb-412d-9420-ca6a866fc898","resolution":{"observed_at":"2026-08-06T10:51:06.530810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.520325Z","title":"Mizumachi and N","venue":null,"work_id":"e663e0e5-7a4d-42bc-b607-a28ba69c851a","year":2014},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.302480Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:cb17baeca4591dce9aa67c5b7da59f11c31c0aa989e477bca37625be3dc34071","observation_id":"d1ff6b7a-4fea-4be4-b4e8-c1a065c40501","resolution":{"observed_at":"2026-08-06T10:51:06.523235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.513090Z","title":"Noble, L","venue":null,"work_id":"5886ea8b-926d-41a6-b0ec-ad8e5d700942","year":2023},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.304773Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:30ec6d6fc7192e6842184ceb9573e683ca18caaa38a6036627ecf4709320f8b7","observation_id":"b6b2f34d-60b4-46c6-9260-6c954f804587","resolution":{"observed_at":"2026-08-06T10:51:06.515470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.505415Z","title":null,"venue":null,"work_id":"ce8402cd-b316-4052-8675-71fdaeeee040","year":2016},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.307053Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:5849f57dfc24b17d0f2fb716a1ab53ea274de38a84c91a27b931a80169e68988","observation_id":"40b8dc1b-326d-49a3-b424-27bbc6979275","resolution":{"observed_at":"2026-08-06T10:51:06.507920Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.498235Z","title":null,"venue":null,"work_id":"7eb32e4c-43ba-4d00-92f0-001fc83e024d","year":1994},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.309402Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:b45f6f6da23794b93282d0a2b75c8983cea8d05d5edb7460d4e2ceec3987eef0","observation_id":"8d3a2e75-39ab-4af8-8403-db5a8d0f2e42","resolution":{"observed_at":"2026-08-06T10:51:06.500769Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.490767Z","title":null,"venue":null,"work_id":"0954e3cf-978a-4d41-8b43-7db1eadc96de","year":1997},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.311731Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:4f2517d1db50a503f88d9c95c67ef72f8a0d53967122e62854028bff8738c17f","observation_id":"1c6e9fed-9974-42c1-8075-3a6051589fce","resolution":{"observed_at":"2026-08-06T10:51:06.493468Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.483365Z","title":null,"venue":null,"work_id":"d74f337f-ca9e-4965-ba8b-34b6d88587e1","year":1984},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.314098Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:0a2f99663839d914329847e7258e3742a0f52fdcb91bb73c691103032761e08d","observation_id":"c5d4ee15-8535-454d-b119-f590dcd81b93","resolution":{"observed_at":"2026-08-06T10:51:06.485871Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.476007Z","title":null,"venue":null,"work_id":"51ac80c0-257d-4183-a55e-5d144785d44f","year":2016},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.316578Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:9442ad55666af550f3fd7e66bd44a3f9c4a245bda8468fabbf456b1992c5577f","observation_id":"6c5944c3-5206-4ed5-9b23-89c8a9899b7d","resolution":{"observed_at":"2026-08-06T10:51:06.478469Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.468241Z","title":"Rousset and C","venue":null,"work_id":"6ca51b8a-a2db-4a86-8605-f78edcf2a026","year":2025},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.318915Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:084cc48852da77356887dcdfc184dbcc7836b92a4e46f045100b42927d048655","observation_id":"99f97f0b-6c4b-4ef6-9216-6fd26dc189d3","resolution":{"observed_at":"2026-08-06T10:51:06.470684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.460226Z","title":"Rousset and N","venue":null,"work_id":"d5ded1fa-b378-4e04-817f-2cb951c51432","year":2008},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.321241Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:42717231fa5a71671992a70422f10d910f83199d9c55a158c2c537702c0f5f2c","observation_id":"67504ca6-c308-4b77-bac7-20ce8f558efd","resolution":{"observed_at":"2026-08-06T10:51:06.463151Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.452684Z","title":"Rousset and N","venue":null,"work_id":"2a842cbb-80ec-4ded-9553-3c1ee8f96bea","year":2009},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.323553Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:0d8ea96da0bb03ae0a5553693bf952043d40e801de9de6519194cc0349cf420b","observation_id":"e84e9a5a-1bf4-4483-b767-76b001cf49ce","resolution":{"observed_at":"2026-08-06T10:51:06.455206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.444795Z","title":"Rousset and N","venue":null,"work_id":"a925dc14-e664-4599-a5b5-35a7b1657cab","year":2010},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.325949Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:4c338219436614bf111c90634e977b9c322a83c49f4bf509424583c68ebbf656","observation_id":"54856c7c-6eaf-4a72-9870-4a321c819271","resolution":{"observed_at":"2026-08-06T10:51:06.447349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.436391Z","title":"Rousset and N","venue":null,"work_id":"ad921e8d-0ad5-4ec7-9d85-94896139da48","year":2011},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.328278Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:efb2d2d4cd995a92def22e2a20ff495809d161204018091b22387a0bd5b304c1","observation_id":"325b3ce9-ca3f-47e3-bb2d-40df94ae4505","resolution":{"observed_at":"2026-08-06T10:51:06.439185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.427374Z","title":"Rousset and N","venue":null,"work_id":"ff78e660-3ac2-4348-b732-51d6c325bf78","year":2012},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.330727Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:fa38eada32be15e6caaf29f8af8bbbd115836e1f92ba71ebaefbfa0a9acea98f","observation_id":"dcd9429b-e70e-429d-bdac-93bfde54f66d","resolution":{"observed_at":"2026-08-06T10:51:06.430634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.419458Z","title":null,"venue":null,"work_id":"e6e4f569-2341-4b73-a0aa-e0d7b26d50a6","year":1966},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.333095Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:b522733020661c6fe405c475b3c20016511b4119cf592c9225a933f155132655","observation_id":"faca5d14-305f-4329-ac16-820178f78bef","resolution":{"observed_at":"2026-08-06T10:51:06.422003Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.410888Z","title":"Zakharov","venue":null,"work_id":"8bbab40b-fcae-4c6b-bd4f-5b381256b578","year":1975},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.335762Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:b7e37073c0c01c1a4240e08f9040843b3e11990f77df26f0c74664e5beff22ec","observation_id":"d0b1233c-c741-4ea5-a211-f640196124c3","resolution":{"observed_at":"2026-08-06T10:51:06.413671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.402708Z","title":"Zakharov and A","venue":null,"work_id":"fa32d72d-7845-49c8-a080-3f4250250974","year":1974},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.338225Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:2fdd7872a1bf3dac49f1555cac3280b038436750854db8566febbc6ff4c85683","observation_id":"5f6ba65d-ec36-4198-a3ca-540a9467e1cf","resolution":{"observed_at":"2026-08-06T10:51:06.405345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T10:51:06.394252Z","title":"Zworski.Semiclassical analysis, volume 138 ofGraduate Studies in Mathematics","venue":null,"work_id":"5e306e05-4609-4c8a-b84b-e49c00b8a621","year":2012},"citing_paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T10:51:06.340580Z"},"links":{"citing_paper":"/paper/2507.23572"},"observation_digest":"sha256:f970e65f276cdcbffab3d4bb23500de92772098976b0fe6f9fc04beeea9d0fb0","observation_id":"dd667e41-313c-4eb3-971f-e32f20ee073f","resolution":{"observed_at":"2026-08-06T10:51:06.397075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.23572","last_updated":"2025-07-31T14:03:14Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T10:51:01.099086Z","submitted_at":"2025-07-31T14:03:14Z","title":"Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":1,"verified_fuzzy":41},"total_outbound_references":60},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2507.23572."}