{"as_of":"2026-08-15T11:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:660d9be677c2578aab353bfae5bbf7a05323131f28ea352d45cf119f52228482","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:44:43.332772Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2506.10123/citation-record","integrity":"/paper/2506.10123/integrity","json":"/paper/2506.10123/citation-record.json","paper":"/paper/2506.10123"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s002211206700103x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Benjamin, Internal waves of permanent form in fluids of great depth, J","venue":"Journal of Fluid Mechanics","work_id":"655bb580-78ee-4aa1-849a-4191e0f02588","year":1967},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:38.491640Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:89c788f09bad0adcd1927f890eed293e533b16e0c7f2aa9aaac01e4912d239bc","observation_id":"2e3ae382-b3cb-4487-96b7-972a7de87def","resolution":{"observed_at":"2026-08-07T04:44:46.799023Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0022112096004272","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Benjamin and T.J","venue":"Journal of Fluid Mechanics","work_id":"8a8161d7-557f-42e5-9a04-e95e9f861a9e","year":1997},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:38.608064Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:617d5bcb1bb3fcef27265600e77e45d34d1853761626ec8b72506b65042f65eb","observation_id":"d783398c-953c-4ce1-933a-c4c34ef965ff","resolution":{"observed_at":"2026-08-07T04:44:46.640825Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.matpur.2008.02.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal de Mathématiques Pures et Appliquées","work_id":"625030ca-7ed8-4307-8c3e-f7c50a326a04","year":2008},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:38.698543Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:cf867c20960ba4a8705f886f1efd0e79af053861a5f88a62daf3098877a9d98f","observation_id":"968b4be7-879f-41dc-9ea9-f534580ce2a0","resolution":{"observed_at":"2026-08-07T04:44:46.477276Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:49.246192Z","title":"Bowden, Physical oceanography of coastal waters","venue":null,"work_id":"820dfb47-3112-4c6a-80fb-7ea9b40a29db","year":1984},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:38.809087Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:bc4f4441f83809f8bd509688e8977d9088223440ce28e39c554eae84f7d620db","observation_id":"a3f76c98-d770-4706-bab8-cee5fb29d3ca","resolution":{"observed_at":"2026-08-07T04:44:49.309632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:49.167050Z","title":"Boyd, Dynamics of the equatorial ocean, Springer-Verlag GmbH Germany, 2018","venue":null,"work_id":"e4994a1b-8e36-4ea2-ad6b-93ff9580a0d4","year":2018},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:38.980618Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:38dbd8aa98592f4c883c8cef804fb03324617dc0cf013fe63a62306c91313248","observation_id":"27eb5c85-745a-4206-b584-f5c820a3ccf8","resolution":{"observed_at":"2026-08-07T04:44:49.200271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.43.264","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Chen and Y.C","venue":"Physical Review Letters","work_id":"4f6a366f-f000-41cd-8ad8-57171b04c8dc","year":1979},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.103039Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:2d769f35df2ee50e9015608e197ebd328bcd7193fd2f1be1c2894cb015374c9c","observation_id":"dab52818-3386-4f40-886c-fc5eaecfb2d3","resolution":{"observed_at":"2026-08-07T04:44:46.315797Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00605-014-0724-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":null,"venue":"Monatshefte für Mathematik","work_id":"2b86eafd-6a88-4878-9b6e-3ca9cab1e8b8","year":2015},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.206835Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:c2e159a4a5eed64f58bd804be95175aa168d84110b54febed5a04589dec8e10c","observation_id":"1e2f1b5b-4c79-4039-a59c-b6a35c27de23","resolution":{"observed_at":"2026-08-07T04:44:46.157289Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.04096","last_updated":"2015-10-14T13:55:01Z","snapshot_observed_at":"2026-08-14T22:27:54.232741Z","submitted_at":"2015-10-14T13:55:01Z","title":"On the dynamics of internal waves interacting with the equatorial undercurrent","version":1},"cited_work":{"arxiv_id":"1510.04096","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.04096","snapshot_observed_at":"2026-08-07T04:44:48.781333Z","title":"On the dynamics of internal waves interacting with the equatorial undercurrent","venue":"math-ph","work_id":"1aafb5c4-be92-4ee8-a09f-e2f8b36f372a","year":2015},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.342597Z"},"links":{"cited_paper":"/paper/1510.04096","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:11cee62a20689969457fad29ce9d18139d08835b3a3573e3025737810e3c6a78","observation_id":"c477e586-8ed9-49f9-bd8c-2bc6825f7d73","resolution":{"observed_at":"2026-08-07T04:44:48.830969Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.06581","last_updated":"2016-11-20T20:05:50Z","snapshot_observed_at":"2026-08-14T21:29:31.742686Z","submitted_at":"2016-11-20T20:05:50Z","title":"The Dynamics of Flat Surface Internal Geophysical Waves with Currents","version":1},"cited_work":{"arxiv_id":"1611.06581","doi":null,"metadata_source":"pith","pith_arxiv_id":"1611.06581","snapshot_observed_at":"2026-08-07T04:44:48.695038Z","title":"The Dynamics of Flat Surface Internal Geophysical Waves with Currents","venue":"physics.flu-dyn","work_id":"a56d3feb-a634-4561-841f-f03702dd323d","year":2016},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.468834Z"},"links":{"cited_paper":"/paper/1611.06581","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:c82e1742e7541fe1b200e81c4eeaca49f04cc60dd3994d9f11e172b0feb5c814","observation_id":"d2d2c4ed-5217-444f-b002-78e25aed0410","resolution":{"observed_at":"2026-08-07T04:44:48.736807Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.01446","last_updated":"2018-11-04T22:20:00Z","snapshot_observed_at":"2026-08-14T18:04:30.008565Z","submitted_at":"2018-11-04T22:20:00Z","title":"Benjamin-Ono model of an internal wave under a flat surface","version":1},"cited_work":{"arxiv_id":"1811.01446","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.01446","snapshot_observed_at":"2026-08-07T04:44:48.613520Z","title":"Benjamin-Ono model of an internal wave under a flat surface","venue":"math.AP","work_id":"27d2ddb8-07bb-4e76-a061-ae8a551673e9","year":2018},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.583265Z"},"links":{"cited_paper":"/paper/1811.01446","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:b6b64397772f5b922174131124c699454c016b544de3616b565c234bc4ba7dad","observation_id":"5429865a-232d-4415-8457-1321d34baca6","resolution":{"observed_at":"2026-08-07T04:44:48.650363Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.03140","last_updated":"2018-11-07T20:54:11Z","snapshot_observed_at":"2026-08-14T18:02:32.796732Z","submitted_at":"2018-11-07T20:54:11Z","title":"Surface waves over currents and uneven bottom","version":1},"cited_work":{"arxiv_id":"1811.03140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.03140","snapshot_observed_at":"2026-08-07T04:44:48.462519Z","title":"Surface waves over currents and uneven bottom","venue":"physics.flu-dyn","work_id":"05467977-8b3f-4501-a8dc-e341361f8f5a","year":2018},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.705699Z"},"links":{"cited_paper":"/paper/1811.03140","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:97eeeeaab0058222b7dd48b8a9dbbff6fde0e07f490422808bc603c9b5d97147","observation_id":"e2fc4077-7333-4075-946b-a6fb0d7a182a","resolution":{"observed_at":"2026-08-07T04:44:48.543156Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:39.837313Z","title":"Constantin, Nonlinear water waves with applications to wave-current interactions and tsunamis","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.837313Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:9355eb95d80eed9f3baf15cd8a94a7278ac83ec940392ee971938b5d67b8dadb","observation_id":"91d2e35c-a7d2-45d5-becf-c2849870c8a3","resolution":{"observed_at":"2026-08-07T04:44:39.837313Z","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":"10.1007/s00220-019-03483-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Constantin and R","venue":"Communications in Mathematical Physics","work_id":"818383b7-53bf-4a1f-813a-6fc98b510e45","year":2019},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:39.986279Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:6e0e12d58dc5c7166c5700adf08871a6d645c3b64fbed62e0f8bf50627337e16","observation_id":"b4a6542c-002e-412a-a2c5-bd5d84d17ab4","resolution":{"observed_at":"2026-08-07T04:44:45.975445Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T01:08:18.028568+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-15T01:08:18.028568+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00205-016-0990-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Constantin, R.I","venue":"Archive for Rational Mechanics and Analysis","work_id":"e1b37200-13e5-4b5a-b46f-37008ed624e6","year":2016},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.105349Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:cbc4fb374b3b128736d5a641bda85bdd5f54fe0fa728d2996ea48e18deac42b3","observation_id":"e2f3a734-55ec-4e03-8ba8-e1987878a08b","resolution":{"observed_at":"2026-08-07T04:44:45.794082Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T01:08:18.186967+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-15T01:08:18.186967+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0610014","last_updated":"2006-10-06T11:35:15Z","snapshot_observed_at":"2026-08-15T11:01:15.128032Z","submitted_at":"2006-10-06T11:35:15Z","title":"Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity","version":1},"cited_work":{"arxiv_id":"math-ph/0610014","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0610014","snapshot_observed_at":"2026-08-07T04:44:48.300434Z","title":"Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity","venue":"math-ph","work_id":"31d9a82e-03a4-453e-93f8-82a5b1d5ba9f","year":2006},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.232749Z"},"links":{"cited_paper":"/paper/math-ph/0610014","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:ddbebf572e67238a7e90481a82aff466ad98cdc1c348cff8395641a173b17a7f","observation_id":"39bda790-5dce-4684-a855-87a7289e312c","resolution":{"observed_at":"2026-08-07T04:44:48.395763Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1929.2015","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:44:48.111529Z","title":"Constantin and R.S","venue":null,"work_id":"c7f2d9ff-3a53-42ab-afcc-38b2d2119619","year":2015},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.356018Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:c10ec32e0b1395df9364cb1cd47c14e88f6048af9b5d7c618f2535513b6193c2","observation_id":"6506cb68-fbb0-4131-9dc6-06fd497f52b5","resolution":{"observed_at":"2026-08-07T04:44:48.212743Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2991/jnmp.2008.15.s2.5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Constantin and R.S","venue":"Journal of Nonlinear Mathematical Physics","work_id":"3e96c75e-e84a-4dcb-8a2a-e3d33d426530","year":2008},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.483796Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:bc62c4344cd4e6929e7dbb23426af117ac0b4cf9c40c80497335a5a9cd01cf0b","observation_id":"0e7bf7ad-942d-4efd-ad40-a4c9030cbbc9","resolution":{"observed_at":"2026-08-07T04:44:45.685124Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0165-2125(94)90003-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Craig and M","venue":"Wave Motion","work_id":"f1506325-be5b-4129-aef0-c4dbc27cb288","year":1994},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.614228Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:130438de684f5d886f05ea0555bcdb8e92a1054dff5479635f245068b6256b38","observation_id":"838dac78-57e9-49a1-83fc-4ec490c3c74d","resolution":{"observed_at":"2026-08-07T04:44:45.534933Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpa.20098","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Craig, P","venue":"Communications on Pure and Applied Mathematics","work_id":"fb6b736c-f47b-476d-902b-988679e82e6b","year":2005},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.741045Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:dcc61200eab40286800933ae6b2de0fdc183c90fba261cda26838bdb7b325c9e","observation_id":"170ce4d4-327d-4984-9482-128cc3db250f","resolution":{"observed_at":"2026-08-07T04:44:45.393161Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-030-67845-6_4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Craig, P","venue":"Advances in mathematical fluid mechanics","work_id":"52d8f55a-484b-4763-9e23-bb3e7e145fe5","year":2021},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:40.887047Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:22a99b4cca691668595f7b77a67ba198bb56f05856d9db69422112a523c5778b","observation_id":"17c9808d-fb34-4e58-baac-34ce7f8816f0","resolution":{"observed_at":"2026-08-07T04:44:45.245147Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:41.022059Z","title":"Craig and C","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.022059Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:7f1d48600a83213fad2f9bdf123c11f0bd16d54c63d6efa2375b74f2a06fa659","observation_id":"c34cdfe4-3151-44d2-8c50-3d0e6f740230","resolution":{"observed_at":"2026-08-07T04:44:41.022059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04375","last_updated":"2020-07-08T19:06:02Z","snapshot_observed_at":"2026-08-15T05:52:38.117713Z","submitted_at":"2020-07-08T19:06:02Z","title":"On the intermediate long wave propagation for internal waves in the presence of currents","version":1},"cited_work":{"arxiv_id":"2007.04375","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.04375","snapshot_observed_at":"2026-08-07T04:44:47.863956Z","title":"On the intermediate long wave propagation for internal waves in the presence of currents","venue":"physics.flu-dyn","work_id":"1bd62445-f38c-4e94-a8de-fbe90cf632f6","year":2020},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.121150Z"},"links":{"cited_paper":"/paper/2007.04375","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:19971319a74c85ca88e656aafa8a970fc0a17b971130435c1f8bb72fcf0c5136","observation_id":"1188e025-e9f6-4503-8036-527d0bfd499a","resolution":{"observed_at":"2026-08-07T04:44:47.934019Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13940","last_updated":"2022-03-25T23:49:45Z","snapshot_observed_at":"2026-08-14T00:52:00.516464Z","submitted_at":"2022-03-25T23:49:45Z","title":"Hamiltonian description of internal ocean waves with Coriolis force","version":1},"cited_work":{"arxiv_id":"2203.13940","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.13940","snapshot_observed_at":"2026-08-07T04:44:47.715961Z","title":"Hamiltonian description of internal ocean waves with Coriolis force","venue":"physics.flu-dyn","work_id":"cf8ca7e1-b7d7-4b17-8b77-4aec95433a18","year":2022},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.223508Z"},"links":{"cited_paper":"/paper/2203.13940","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:6ac3025b640ad4a7bf4c7512a433e6ce7a10b604a1e38e27543af2ae7cd8564b","observation_id":"fc9a2c82-98be-4261-9bc1-b05d86c62bb5","resolution":{"observed_at":"2026-08-07T04:44:47.773299Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.00202","last_updated":"2024-05-31T21:31:20Z","snapshot_observed_at":"2026-08-12T23:52:48.538522Z","submitted_at":"2024-05-31T21:31:20Z","title":"The Lagrangian formulation for wave motion with a shear current and surface tension","version":1},"cited_work":{"arxiv_id":"2406.00202","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.00202","snapshot_observed_at":"2026-08-07T04:44:47.548063Z","title":"The Lagrangian formulation for wave motion with a shear current and surface tension","venue":"physics.flu-dyn","work_id":"de63e6b2-f20c-488d-ba67-cdc095c3df14","year":2024},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.348571Z"},"links":{"cited_paper":"/paper/2406.00202","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:418264351d986eedd3b4aea28fd48d116d3612f03027e73367ffec1d0e509f27","observation_id":"16a96e3f-f5bf-4761-a558-908a29a94385","resolution":{"observed_at":"2026-08-07T04:44:47.631135Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1175/1520-0485(1978)008","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:44:44.965520Z","title":"Djordjevi´ c, L.G","venue":null,"work_id":"36576930-a92c-4ad1-b7fb-51e3c7ce1dab","year":1978},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.445242Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:cbd26fc3a9eed2d4452371170734e8ed3a4edc9f2e00011fe1e2df5feb7eb7a8","observation_id":"b0f8c957-8f50-44ca-9d2c-379e4f3df3a3","resolution":{"observed_at":"2026-08-07T04:44:45.045380Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/sapm19836811","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Studies in Applied Mathematics","work_id":"a8a5cfe5-41d6-4f5c-8d0d-0f55d8d663ab","year":1983},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.577113Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:c623d4f5862b026347216ced3138b5b4fe5ac042519021463529ce51ef126d73","observation_id":"8806e33f-ab46-4c1f-9bb2-eb55c9e34f22","resolution":{"observed_at":"2026-08-07T04:44:44.877681Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.17454","last_updated":"2024-10-22T22:07:03Z","snapshot_observed_at":"2026-08-12T22:17:10.809426Z","submitted_at":"2024-10-22T22:07:03Z","title":"Higher-order integrable models for oceanic internal wave-current interactions","version":1},"cited_work":{"arxiv_id":"2410.17454","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.17454","snapshot_observed_at":"2026-08-07T04:44:47.374439Z","title":"Higher-order integrable models for oceanic internal wave-current interactions","venue":"nlin.SI","work_id":"d3407677-21c9-430d-9a0d-1c7e5d1e92cf","year":2024},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.659019Z"},"links":{"cited_paper":"/paper/2410.17454","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:f212a0201da958ac0f9f566e8d795a26e3404c37ac623834cd4c7f558f27c2ca","observation_id":"aaeedba8-5f27-4cec-9850-1b40515ba84f","resolution":{"observed_at":"2026-08-07T04:44:47.452742Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.01441","last_updated":"2017-02-05T19:02:29Z","snapshot_observed_at":"2026-08-14T21:17:55.138476Z","submitted_at":"2017-02-05T19:02:29Z","title":"Hamiltonian model for coupled surface and internal waves in the presence of currents","version":1},"cited_work":{"arxiv_id":"1702.01441","doi":null,"metadata_source":"pith","pith_arxiv_id":"1702.01441","snapshot_observed_at":"2026-08-07T04:44:47.198250Z","title":"Hamiltonian model for coupled surface and internal waves in the presence of currents","venue":"physics.flu-dyn","work_id":"8ed825c7-910d-40d7-b6ff-b2c3d76a0b60","year":2017},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.777508Z"},"links":{"cited_paper":"/paper/1702.01441","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:b40b96d08e19077bf9653c22b52a3d9047120294147445f1f3dda88bf2ab260b","observation_id":"0c16b9e7-45e3-4b2b-91e1-ef6880c993bd","resolution":{"observed_at":"2026-08-07T04:44:47.273308Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.02590","last_updated":"2022-03-04T22:20:24Z","snapshot_observed_at":"2026-08-13T16:29:13.085416Z","submitted_at":"2022-03-04T22:20:24Z","title":"Hamiltonian approach to modelling interfacial internal waves over variable bottom","version":1},"cited_work":{"arxiv_id":"2203.02590","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.02590","snapshot_observed_at":"2026-08-07T04:44:46.975111Z","title":"Hamiltonian approach to modelling interfacial internal waves over variable bottom","venue":"nlin.PS","work_id":"bbf2af79-7bb2-453c-a965-bb8f328d451e","year":2022},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:41.910621Z"},"links":{"cited_paper":"/paper/2203.02590","citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:ecadb0e0f65cbe09a503c51edf218090fe7da274f28992432afb191793b7503d","observation_id":"da0afcda-c592-4c40-afb7-0b24b34bbd7f","resolution":{"observed_at":"2026-08-07T04:44:47.083645Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0305-4470/11/5/002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Joseph and R","venue":"Journal of Physics A Mathematical and General","work_id":"1eef899e-3da8-406f-9e06-6a1df6c6e213","year":1978},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.051651Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:7c92fed8c2645046cea628def9f9cfa6183ae78fa201169f8ad660e9e7458cca","observation_id":"0c09977f-b2d8-4e53-b1ba-d847ba30f42c","resolution":{"observed_at":"2026-08-07T04:44:44.660715Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:42.172646Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.172646Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:4fe1a34fc1aae436afd2868e4c44e686c214faaf13cb6d17e5382abb9639fd6b","observation_id":"e053daaa-7723-43a2-ac93-4da053f92961","resolution":{"observed_at":"2026-08-07T04:44:42.172646Z","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":"10.1063/1.525393","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Kodama, M","venue":"Journal of Mathematical Physics","work_id":"9f65dd44-5a67-4a5b-884c-cca90cb802f4","year":1982},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.306192Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:dfe45c9001712a8c52c218222a9439011e9944c22db1f512546c54e4407a41d2","observation_id":"93bae7cd-13a4-4ef1-bc52-62c3ad29d678","resolution":{"observed_at":"2026-08-07T04:44:44.496271Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:42.434962Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.434962Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:ca94bf271ba7276c1b96a70f1428b3c086a2d6153d541e77feec78d9b521a337","observation_id":"d7aabddc-116d-497a-9a99-b9d0b2092557","resolution":{"observed_at":"2026-08-07T04:44:42.434962Z","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":"10.1088/0305-4470/12/4/019","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Matsuno, Exact multi-soliton solution of the Benjamin-Ono equation, J","venue":"Journal of Physics A Mathematical and General","work_id":"601252c7-cdad-48f1-8454-74b17367b616","year":1979},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.552972Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:fb4a329fa2e4d3fbea3ecef939f906aefa165df1dfb2a90cf076870163cbf5e0","observation_id":"dac916b9-9311-42bb-8418-ef9d318725e6","resolution":{"observed_at":"2026-08-07T04:44:44.228281Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0375-9601(79)90779-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Matsuno, Exact multi-soliton solution for nonlinear waves in a stratified fluid of finite depth, Phys","venue":"Physics Letters A","work_id":"c577c034-2367-4cd6-9f71-253e513cd7e0","year":1979},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.636284Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:27e3ebd342b2228627dc893ca34a1843850cb53c131910ef4f465afeb368a054","observation_id":"8b257109-0dab-46bb-9ccf-0756bd1d5bb1","resolution":{"observed_at":"2026-08-07T04:44:44.010753Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:49.058913Z","title":null,"venue":null,"work_id":"5994149d-2c92-4637-9bf6-dd52d2d83cec","year":1984},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.720857Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:420fa7547a19797f0d89919ced715642bbaf26b9cbcf15ffe286da1830a0c2ae","observation_id":"8a6b8256-c620-4c93-affb-cba5e5d45249","resolution":{"observed_at":"2026-08-07T04:44:49.109029Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1143/jpsj.39.1082","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Ono, Algebraic Solitary Waves in Stratified Fluids, J","venue":"Journal of the Physical Society of Japan","work_id":"40b09563-2bd1-4751-a6fd-ac28567c23df","year":1975},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.879256Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:a50e3188d098a61c805b61524ac885387797289af35b4ab26c25195a03ac8d9c","observation_id":"fb77dce3-480f-4ded-85fe-6a8bdb7e153b","resolution":{"observed_at":"2026-08-07T04:44:43.771957Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:48.974246Z","title":"Satsuma, M.J","venue":null,"work_id":"d5584e26-a19a-4b52-bfdf-db84ced1ef05","year":1979},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:42.980147Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:9da9380a15e80283aa6e0d644a4b6491a7da5d5b9611997e96cd43ebb1251baf","observation_id":"c98f018b-4a3c-4df6-9398-41f724bfe335","resolution":{"observed_at":"2026-08-07T04:44:49.024487Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:48.891858Z","title":"144–150 (in Russian)","venue":null,"work_id":"f19c1838-2782-4dff-a6cd-a63972233da9","year":2012},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:43.119675Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:0b3ce7b3d562551d49102da906282ffc058759b4c7aa3eac7ed3c81555d0597e","observation_id":"78678b5d-9a31-40e1-944d-d12e000b6a28","resolution":{"observed_at":"2026-08-07T04:44:48.925151Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11005-007-0143-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":"Wahl´ en, A Hamiltonian formulation of water waves with constant vorticity","venue":"Letters in Mathematical Physics","work_id":"f167d88a-391d-4917-88b3-23763ef503f4","year":2007},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:43.215134Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:3fc2f62bd4cc4d9ea2a7dbaf673467cb60c6c59ab9ba81c53aa686cbc04968a2","observation_id":"19b9d2f9-8af4-41b9-823b-5bb4013c3360","resolution":{"observed_at":"2026-08-07T04:44:43.564903Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-07T04:44:43.332772Z","title":"Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T04:44:43.332772Z"},"links":{"citing_paper":"/paper/2506.10123"},"observation_digest":"sha256:85dddc30dc24671d63c8153e3169953078b5a5a4027351f503fc05076efa0c22","observation_id":"79f98234-cf29-4908-8f84-de75a0305c15","resolution":{"observed_at":"2026-08-07T04:44:43.332772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.10123","last_updated":"2025-06-11T19:07:09Z","latest_version":1,"primary_category":"nlin.PS","snapshot_observed_at":"2026-08-09T10:55:17.655408Z","submitted_at":"2025-06-11T19:07:09Z","title":"Modelling intermediate internal waves with currents and variable bottom"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":31,"verified_fuzzy":3},"total_outbound_references":41},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2506.10123."}