{"as_of":"2026-08-11T09:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:07e5362bb142c77c7a24bf86538e3a96f66e3930684e61626a983ba0874d91bc","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T15:37:57.770077Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2606.09775/citation-record","integrity":"/paper/2606.09775/integrity","json":"/paper/2606.09775/citation-record.json","paper":"/paper/2606.09775"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Abe and K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:028e05d208248ad8252c5ea895ebf0ee0f642f3fe100b55d30d7297525691d16","observation_id":"55ee43a9-113d-4d4c-8adc-976ce533af13","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":"2510.00539","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T05:15:59.122213Z","title":"Stability of lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition","venue":null,"work_id":"b49d1e33-d141-4210-8ce6-b79412511b31","year":2025},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:402c57c1d0c5f06a8cc1050d0c2acd36f92d55d26bd037a06fe8764272672450","observation_id":"b60061b1-42b2-4ef8-a540-54f6dc841515","resolution":{"observed_at":"2026-07-03T03:07:34.485799Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-27T15:37:57.770077Z","title":"Albritton, E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:d361ecdffcaf0daed6482543e914166e73ea8dbf3d4db5a3f56e05727b201222","observation_id":"e2616f57-4e87-4299-af9f-95052d8d8b19","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Berti, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:8a544f5f8ded07d3da300bd053879609144adf7696e9c9086f9896be4535a601","observation_id":"8d54186e-7b4e-40b3-985c-5c25bfd0863d","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Berti, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:b25c9bd9c1ba74f1f14f17d4ef263b7f9632ef8fcd3ace3c13f1f42299166cb3","observation_id":"e228c9b2-bf75-46ef-8f62-d725599fae46","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.07934","last_updated":"2024-08-15T05:08:48Z","snapshot_observed_at":"2026-08-09T20:23:56.402573Z","submitted_at":"2024-08-15T05:08:48Z","title":"Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity","version":1},"cited_work":{"arxiv_id":"2408.07934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07934","snapshot_observed_at":"2026-07-03T03:07:34.485516Z","title":"Bru´ e, M","venue":null,"work_id":"a90a5a0f-bac9-4761-b9a6-e4509be6cbe5","year":2024},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"cited_paper":"/paper/2408.07934","citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:ffa40f18e7151af1e63a12062ae97fb1a50627a2423aa8d904175ee2c355b618","observation_id":"8c050d64-5be8-4249-a443-b4ba12a21c63","resolution":{"observed_at":"2026-07-03T03:07:34.486872Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.23040","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T03:07:34.479720Z","title":"Instability of two- dimensional taylor-green vortices","venue":null,"work_id":"5b786f41-5b69-4101-af6a-88cce3b0d8e4","year":2026},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:96010007bb855cbf3696134a68d1557fcb3bc8f21fb99b80732c5713ddf9ded6","observation_id":"c7c6f0a0-8e99-47e2-9636-a527b72ec4df","resolution":{"observed_at":"2026-07-03T03:07:34.481349Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:1a231651604537190f8a32fd9bc24edf0093753c3445bb3400637e2325146144","observation_id":"a3b6df4d-e9e7-481e-8775-3fbe88d29e26","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:e0bc08d8f8c822ab4398a9d6bcd5842731ba3503554cdc1d04d838394fd4209b","observation_id":"ce83d494-f0e3-44f8-b8b2-6aff0b5cfa18","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Dell’Oro and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:9f17a1bebe19278b0a53b7ab86d8acf8e02525d0c9f2ef6ced8868b281cc951e","observation_id":"4133ccae-be40-42a3-9944-eb9778a9a981","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:37fc38b3d42b33c743060508a3ebae0ecf5be29ce84f904e0c09a29be2f2db61","observation_id":"0dbcf316-c90c-49ff-b4c8-d9adc27d419d","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Gearhart, Spectral theory for contraction semigroups on Hilbert space,Transactions of the American Mathematical Society, 236:385–394, 1978","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:8f29d6b89028767354f9c39ebacb92b9d78e2a1434a02031c2c1b4bc2ef88ec6","observation_id":"97a3c2ca-913c-4eb9-8fb9-cd7ec972c695","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Grafakos.Classical Fourier Analysis","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:c65fe9b604426539a73d26f5dcc8830334afd628f98b3c037fbe022054177fe8","observation_id":"de051e48-7cfc-4919-a471-906335033642","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.15739","last_updated":"2025-07-21T15:50:46Z","snapshot_observed_at":"2026-08-06T15:22:29.563449Z","submitted_at":"2025-07-21T15:50:46Z","title":"Superlinear gradient growth for 2D Euler equation without boundary","version":1},"cited_work":{"arxiv_id":"2507.15739","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.15739","snapshot_observed_at":"2026-07-03T03:07:34.482463Z","title":"Jeong, Y","venue":null,"work_id":"8dc8603e-4f62-4e11-90c4-6546eecad681","year":2025},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"cited_paper":"/paper/2507.15739","citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:32c38b7c48d21d954a4704d8279725461e4372ce973c984596142516195cd343","observation_id":"4d3fe196-e70a-40a0-a5e1-89b737a7becd","resolution":{"observed_at":"2026-07-03T03:07:34.484104Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-27T15:37:57.770077Z","title":"Lamb,Hydrodynamics, 3rd ed., Cambridge University Press, Cambridge, 1906","venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:dd5c70776bcb0cb7790b16f857c7de9d4f907c620a4e58bb6f8dd77bfe0a7228","observation_id":"f7009f73-fa20-4caf-9bde-5accb49b55d9","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.01491","last_updated":"2026-05-02T15:27:51Z","snapshot_observed_at":"2026-07-06T23:14:43.034336Z","submitted_at":"2026-05-02T15:27:51Z","title":"On the stability of Lamb-Chaplygin dipole for the 2D Euler equation","version":1},"cited_work":{"arxiv_id":"2605.01491","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.01491","snapshot_observed_at":"2026-07-03T02:57:35.814628Z","title":"On the stability of Lamb-Chaplygin dipole for the 2D Euler equation","venue":"math.AP","work_id":"97f664fe-764b-42e2-a716-d24c837d51bc","year":2026},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"cited_paper":"/paper/2605.01491","citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:bf37b22f695a473ecd8b86752be1b0b9c6636e3c974124e74e9192715423e2e7","observation_id":"9b2783f5-62f1-4199-84d7-d7939803763a","resolution":{"observed_at":"2026-07-03T02:57:35.816048Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-06-27T15:37:57.770077Z","title":"Lin, Some stability and instability criteria for ideal plane flows,Communications in Mathematical Physics246(2004), 87–112","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:a6a344954f6da8937d151093bd0c28937ba0a774292fd531fb4e4179a53d8541","observation_id":"1f2334dd-fd47-47a4-9190-1955c4a55c25","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Lin and C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:76262555e56f953651025019639016ced3a9dfa51bf0b5efbc10347d8bcdec7c","observation_id":"629f7710-e766-49cb-bdf3-4b642d9fc056","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:3465bca4a5c0731bc2a43c68397374e0e099917f4ad2b5e11aa6596ce524bf7b","observation_id":"f2de1e0d-33fb-4271-a1a4-8d01673e0410","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:a92f21d22573cb9701641200f685b51b5afa57222c698aa8254306aff6ae462b","observation_id":"195c93f5-f9de-46bc-9792-31bd4aea8d5a","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:bcafdceaa93bb981d7f5aaae9c209283a919892d1a91e1b4b058029ec13d702c","observation_id":"607ced67-4e77-48cd-9231-03b05c2557e2","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Protas, On the linear stability of the Lamb–Chaplygin dipole,J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:0b349253285cd494c21539ec49e5fa3386840e6db1e558b467dcc28a5eb68872","observation_id":"59c0bd37-7ad8-4915-939b-9c0178e897bf","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Prüss, On the spectrum ofC 0-semigroups,Transactions of the American Mathematical Society, 284(2):847–857, 1984","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:b24782a2ac8ab9bd1f6eb86c602e638636518aa50b3507acff32f443ca913be1","observation_id":"c82c159c-c62a-40f8-992d-387df1375186","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:57a8760a9a6aa1fd7acf9c4baf257865b8ff777245785ad4059811e0bf07d29d","observation_id":"38248427-ed8e-4cc0-b23b-a162ab47297f","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":"Wang, Stability of a class of exact solutions of the incompressible Euler equation in a disk,J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:7821aa3096c940429d8dd7233a23392f1bd0056bfdfcf68ce8111b7272f85592","observation_id":"fd8167a7-5c80-44a9-b2fd-798c51c4cb14","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T15:37:57.770077Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T15:37:57.770077Z"},"links":{"citing_paper":"/paper/2606.09775"},"observation_digest":"sha256:cd47ca406e05084bc48e84c47f7d5e08493e22229b43892bcd72a7261b67af31","observation_id":"3ae60dd3-bf1d-4e06-bab2-c4dfdfa6de37","resolution":{"observed_at":"2026-06-27T15:37:57.770077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.09775","last_updated":"2026-06-08T17:35:38Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T14:50:50.748336Z","submitted_at":"2026-06-08T17:35:38Z","title":"Linear Stability of the Lamb-Chaplygin Dipole"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":5,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.09775."}