{"as_of":"2026-08-09T08:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e95514c8f200baf17fd76d5c9d82e69139452907eb2f8ba08360701c413cb59a","coverage":[{"denominator":94,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":94,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T20:29:53.591571Z","state":"measured"},{"denominator":95,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":95,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T05:13:40.462961Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-09T05:15:59.125228Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"cited_work":{"arxiv_id":"2605.25885","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.25885","snapshot_observed_at":"2026-07-09T05:15:59.125228Z","title":"Quasi-periodic traveling electron layers","venue":"math.AP","work_id":"0ce90ce4-7485-41df-9fea-732285a34555","year":2026},"citing_paper":{"arxiv_id":"2607.07613","last_updated":"2026-07-08T16:29:18Z","snapshot_observed_at":"2026-07-11T23:20:16.759152Z","submitted_at":"2026-07-08T16:29:18Z","title":"Time-periodic vortices near translating symmetric dipole patches","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-09T05:13:40.462961Z"},"links":{"cited_paper":"/paper/2605.25885","citing_paper":"/paper/2607.07613"},"observation_digest":"sha256:e3d84d8b1d241d2d6f1cb3b7d30ee16ca59e87e399cb6e810e28c9dd44edd41e","observation_id":"36c8e81b-2d40-4413-b70c-e918b25547a7","resolution":{"observed_at":"2026-07-09T05:15:59.127183Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2605.25885/citation-record","integrity":"/paper/2605.25885/integrity","json":"/paper/2605.25885/citation-record.json","paper":"/paper/2605.25885"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Ambrosio, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:f6f26113fa619548f687dafe582222a82722c1e1797408be9af0293d31852360","observation_id":"a6d10463-11fb-4bec-b4be-6b8891bd31b7","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Armstrong, D","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:283348e057145aadb8745f8072047e7ec317613afdecbc42ce3d490863e3a283","observation_id":"c125b4d4-c0e4-434e-96d4-e59cc5330b10","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:bc14352c8c76629caae87114a153e1656687816ed082cc5ce1be8be4604d95c2","observation_id":"70ad6ab8-3c36-47de-b6bc-2c2370b5bb1f","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:786e57fea57d9d590bda587c724f1c9b161d4ca84fee2ee4b74bad0765defac8","observation_id":"d94b0887-5d98-48ab-a3fa-1f680186dc6a","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:c41e03fc512dfb41fc1e72f2820c4bef8727de8685911607d2d4d25ae2523b30","observation_id":"ad20e7a9-7d2d-4749-a0e2-58da47db12bb","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Baldi, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:90d83ac46a928df8c61417f445a7d53b1cd61796e87a93639b4286f64ebb2af3","observation_id":"a4687afd-a068-4eb4-9c7f-d01abdfb7661","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Baldi, R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:5981550680a924bb416911acd75efa40f8d732070d90b9ef7856b39f8a250307","observation_id":"c3d1275d-9d24-4485-9bac-b4b076a1d0d2","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Bardos, P","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:6dc3800ddf5ff6e9dd24e29ff634aab25497b0793c9a70ec2b3db4368c2eeff2","observation_id":"1e319010-9915-4724-8e14-9bea08e2ac99","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Batt,Global symmetric solutions of the initial value problem of stellar dynamics,Journal Differential Equations 25 (1977), 342–364","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:0b72571c2f00590d4c446e4123c59064d0bb414a4f502ab3296dd94371bb7cf5","observation_id":"0a9ab74a-0e2f-49e0-9f3e-397cc1bfbb01","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Bedrossian, N","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:4b69bfb244504710bb5b0571b558c56890ae3fcc0cad9244fd75417ee8ea4978","observation_id":"3ec0a0e1-dc36-4005-a57f-158dbe9e1a2b","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:2121118fe1a3e5eed857b2a99cbcebf1319f8cdfe3badba2b6d64e47e2c02c33","observation_id":"e21e53ab-ea9f-442e-bb73-25e574aeae77","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hamiltonian PDEs and Applications","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:ab2bb673020e97c6ff114c69054169d31bcd75874103d8d834c5bcaf87615bb5","observation_id":"14f262aa-2e28-4f1c-a797-8d01e2577f5d","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Berti, L","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:d9b6384cde3f06088bd8f331b8e67c0400c3bbd998897b5bebec81b84930675e","observation_id":"a16eb9b4-3ea0-47c4-8f6c-70a57519cd4e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Berti, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:54ddbd87a133d8245203e4fdbe07e418f3577761c67c8ea369ebc090c6d8d554","observation_id":"1faf667b-bfc1-4b1d-b6c2-e96c786ceabc","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Berti, Z","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a91b63723dd41e70e37c7e70fdad1f48c11d024d9c1ba1d37bc318deaeef51ba","observation_id":"41d4d19d-7461-4c71-a90e-4a6540d8eb30","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Berti, T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:25667d64d9de7293655987e35ed5625c9d205cc680c5f268d45d2f2abf5e03b3","observation_id":"5b589634-2760-49c3-8438-c92c5bc0a172","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Berti, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:714037d69afd96896632dfc87a2f39e6e6f021e8070476628c1fa563faa248e2","observation_id":"6b579a19-20d6-41a2-bd55-1c9f753d2912","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:2806baa93fc7628367f26dfeeb9d8136206edeb93f66e2c56ab814e5d979ec1c","observation_id":"7b4ee316-4bf7-46d4-840f-564719d0c4e4","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2601.10030","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:14:04.785090Z","title":null,"venue":null,"work_id":"7d58b744-0aaa-4e03-993f-e92c019b6eaf","year":null},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a95d31ae3ea4c0b64d1e0e1774ea045c1f4c22b29f01f7772175492966c85d8b","observation_id":"750dd8ed-05d9-480c-9988-f9e25ff4d7e7","resolution":{"observed_at":"2026-06-30T00:14:04.786653Z","resolver_source":"arxiv_id","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Bianchini, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:83a9a54e0da04ecbeb7a22dfb9de99c9e62078c0fa5f6a879fe037e0646107dc","observation_id":"b0abed4b-ada1-4b5c-8154-7dc8d318eaeb","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1949},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:72c372f544bf2bcfffedb93d214642c3b0f351d85a6a381091f78f36aea95cf6","observation_id":"5d593a50-80d9-4d13-8dfa-827bd4adb1d5","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Buchanan, J","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:5cffc5fbaae65f9f8e973200cb57bbdbd2bc214226eba32037d2cc6249dc49d6","observation_id":"05bd8b59-f53d-4a4f-aa16-6a45e19c67bb","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Bostan, F","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:e0826bc506da66a66c5c988c383a545fe6dbf3392846d29e159fbdfc87245ff2","observation_id":"80ee6982-0d7c-4ea8-bb53-abcb56eecaa4","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:6b5fdfb3e2f0bfd1346f740d06be4018ff5f6ea0800839ca4ba2df551f61e09e","observation_id":"3763243b-e40e-48bb-b0d3-903030157573","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Cordier, P","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:25f77ae2fae6d3eb64da6123579fc6277ef76bc57be7cabb2889727676505e62","observation_id":"48adcee9-e5e1-41ec-bf75-a93e47a39a78","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Cordier, P","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a303a2676dbf806268b7e9ef3ce2c318690a95039990d877b6eff1cae2b9f80d","observation_id":"1b896371-0efc-41f8-bef8-4aeb36e34758","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:8982024799525d0a56847f790466ef93baa3bdbb5ecb82edb6f9daff89253263","observation_id":"3ba6e274-dfb7-447c-bef9-280ba45d9660","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Crouseilles, E","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:bfa25663c8634392fab3c6f60d3c60763b86bcdb852399eff432c35208ed2640","observation_id":"05cba7b9-f0ec-494f-ad9c-4aefcb0e9722","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:345a4fa14d8dc103d5e2ae78524548db95fb99a16414199414a42a1c7c288846","observation_id":"9a4c72d4-05ea-4d84-9435-da1a0921dec3","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:83048fa38f866ff6a29a5345a891b31b970f1b0921cdc037cce7b13db382cb51","observation_id":"83ea1902-487f-4494-8528-6c4bae3c643b","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:1eb4a4818c98afae7afecf8ea02e2effed21b36aeab81e56626c13d6fc20da72","observation_id":"5a6482e4-6730-42a0-8b10-9aa74abaa804","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a643449b62f782a178a4cbe22e7721bb6f6bcdd8f3063356ef589695b61697f1","observation_id":"d169e770-6b49-4d89-b8aa-9a22fe8ad0e3","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Enciso, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:c03b2bdd8cffe6f2bd79e541aba1bbec113c1bd2e2f99e9eb9e479a764760e92","observation_id":"6b9ac6f9-20ee-44d4-ba47-71abff7145df","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.09302","last_updated":"2026-04-10T13:10:49Z","snapshot_observed_at":"2026-07-06T22:58:12.847181Z","submitted_at":"2026-04-10T13:10:49Z","title":"Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids","version":1},"cited_work":{"arxiv_id":"2604.09302","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.09302","snapshot_observed_at":"2026-07-09T05:15:59.119375Z","title":"Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids","venue":"math.AP","work_id":"b0615153-d887-47a4-b4e6-64b492f270b7","year":2026},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"cited_paper":"/paper/2604.09302","citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:2877848ade1ada27fc0116cc53f9eadd45c24927b114c6f8122ed9e321c9e138","observation_id":"41f0c7f3-8472-4d38-97fe-d559315d0f4b","resolution":{"observed_at":"2026-06-30T00:14:04.789368Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Feola, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:40a3da189d67fe2afe2b70474fa474a11574b8382fb9eac4045a9a5bc9cebfa9","observation_id":"e089499b-a17d-455e-96eb-bfd372794d9a","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Feola, F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:ba5d26bced846cc170e5c71b6f854314b467c2f8f3e5d5f9afbec2f93723d535","observation_id":"0a00ff2b-e282-4436-8689-527a00852a77","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.10318","last_updated":"2025-09-12T14:59:06Z","snapshot_observed_at":"2026-08-08T07:12:10.563932Z","submitted_at":"2025-09-12T14:59:06Z","title":"Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves","version":1},"cited_work":{"arxiv_id":"2509.10318","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.10318","snapshot_observed_at":"2026-07-09T05:15:59.122068Z","title":"Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves","venue":"math.AP","work_id":"b24b2e7a-0447-4117-91ec-68165b355d3f","year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"cited_paper":"/paper/2509.10318","citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:f537cf93fbf8dc58802a3518983dd92e803ec389ced1c1236a8cf605e8177a8b","observation_id":"f930e732-3bae-4555-ad43-0ee637ef0d61","resolution":{"observed_at":"2026-06-30T00:14:04.794599Z","resolver_source":"arxiv_id","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Franzoi, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:4eb126378e4e6f59f2a76192937aca8ad6e300cdafeb431c80d75134d1ac66bb","observation_id":"0b4edbdd-c513-4482-a043-271eadfa4548","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Franzoi, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:c17886958c411d73927f19ec7cb6f94cf82b0eb3260e619339f1af56302ba7a0","observation_id":"13f7bb30-9d7c-4cfa-a400-d043a9ae641b","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Franzoi, N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:6acc461ba572cc9043293cb447ce89da909126d7da1f0784e87b953a8b351e5f","observation_id":"57c92d0b-99c3-4a0f-a4bd-85e6b810fffa","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:3ef9380294cf09d61eea22bb72dc5454b29959d1df3db36daf896339ba62be51","observation_id":"18766806-3211-44e4-85a6-15d53b7766fd","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Gagnebin, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:34c123f0f1702a1a557f8c2d92d2aa05d78ce85deae7dfd3921d04b450359cd0","observation_id":"9af6bf3f-91da-4c58-913a-d73f3280631b","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Gasser, P.-E","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:c9decd9175450bec306353717a4ed4711a8df94dd3c44310737675a742b55a29","observation_id":"9349bfae-f245-4f27-9e33-a0736215c369","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Ghizzo, B","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:009af83dc120f0664c040e2754feefe0456b0c578bea38e0648bd4b6501fbf1e","observation_id":"0388a47c-c495-4e5e-b8d6-df15598068d8","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Goldman,Theory of stability of large periodic plasma waves,Physics of Fluids 13 (1970), 1281–1289","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:8a99b65dcfa4b5a172c7e2c2ee04d1e3ea1660e1abf864b798dfbb84328908ff","observation_id":"d2ef726a-9049-4eed-927f-4e10e23c8b6e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.14997","last_updated":"2026-04-16T13:23:01Z","snapshot_observed_at":"2026-08-08T08:13:07.577682Z","submitted_at":"2026-04-16T13:23:01Z","title":"Singular traveling waves for the Euler-Poisson system","version":1},"cited_work":{"arxiv_id":"2604.14997","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.14997","snapshot_observed_at":"2026-06-30T00:14:04.795744Z","title":"Singular traveling waves for the Euler-Poisson system","venue":"math.AP","work_id":"42fecbdd-ddc6-4ff8-809c-b69a9da38c2a","year":2026},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"cited_paper":"/paper/2604.14997","citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:4ad2f10930206d43163db5317281df507183c4afbc726b205a58249b91d9d5dc","observation_id":"9ece2981-4713-4f1c-954c-438a68e7bc13","resolution":{"observed_at":"2026-06-30T00:14:04.796958Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Guo,Smooth irrotational flows in the large to the Euler–Poisson system inR 3+1, Communications in Mathematical Physics 195 (1998), 249–265","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:e61afc0dfba0f82ab2f29522513ede09dbed6df0534805ba84e4ff246f1f3345","observation_id":"c64003ca-880b-470c-af3c-7b05054e7c59","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:73ff6ed42bb001d95dbcc0b3be1e26c082ed82d8ddc3368f3e0216e9375d2088","observation_id":"59098b5e-d37f-4a3e-a2a9-72e9a2ca8dc7","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:caa0cae0d2f09af077afd5f05e43364de64f5abb6e27fabc70f7223ddc6f2df8","observation_id":"9770447b-3db8-4d6e-acde-2b729f22be65","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:d66fd5d0f674d7b5b4cb38450613b5bb938e699dadab54a8cd43e008e682a3ce","observation_id":"fbc676fe-b23d-4578-b73e-4ccb2625ad5f","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:c9f0a9e0b476f78e39508d0b21186bcba3611d4df3949e872cfc141d4435e3dd","observation_id":"54293711-25a2-4478-af39-4f721985e6dd","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hadˇ zi´ c, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:01b4c495691c0ec80097945fe39172fa031a26dd54abd2d1cf5cacd8e6713097","observation_id":"77b35dc5-bbaa-46e4-abe5-2f12e2bda9f9","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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/s00205-025-02114-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hadˇ zi´ c, G","venue":"Archive for Rational Mechanics and Analysis","work_id":"705c7a2d-5f60-4a98-9c9c-432899c3eba2","year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a19e4b9eff9a1f17141015ee7d8e887ac9c70f9c96ecba8f8df16ee0e0190e77","observation_id":"1f92b8e2-b6a2-475a-ae6c-dec4812d293e","resolution":{"observed_at":"2026-06-29T20:33:57.231014Z","resolver_source":"doi","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Hannibal, E","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:dc53383bd1f7cc4fd9c933f054643fd58eb2c2f4e083327977ce3568b4cdc0d1","observation_id":"93fc1904-dadc-42f0-8d02-d40955ba3b5a","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hˇ arˇ agu¸ s, D","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:be6c4272d4294408e893f4bbcacdc3d63e2fe4e24340e23abe079403bff319dc","observation_id":"5397177e-067e-4620-b268-7c6f2b32a5a1","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hˇ arˇ agu¸ s, A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:9a7aef4c9cec4e91c0be7040875f653164be442d581dafe3359cc9f04afc268c","observation_id":"0815710f-d740-44be-a444-f65703c886fb","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hassainia, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:9f58bdb923f32f9107a995df7e0eedf4db1923294ea7343ba4e5a18ba1f89f2a","observation_id":"91a154bc-d0f8-46c5-b9e2-9c5e97da962c","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hassainia, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:8cce54246bf12267720343173e05c2409defb7cba4046c3bdef1ed4f223eb052","observation_id":"7ecbdcef-1b7c-4d10-8252-84c37591888e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Hassainia, E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:b596431e5ea7ee67f7498f81c424a7b2de01d9d6f9f7763122a5c06e862e566a","observation_id":"36d9b408-504c-40f1-8464-227b089e8436","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"10.24033/msmf.498","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:33:57.231527Z","title":"Hmidi, E","venue":null,"work_id":"4734cce1-24cc-4a6b-a618-3471defadc63","year":null},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:9d9d3d7f8cf0330382ca5bf5d8eefe8eeaaefa4caaa00099ba97b0f90dbcef1b","observation_id":"42142340-5c49-4311-a30f-24edaa3a34a2","resolution":{"observed_at":"2026-06-29T20:33:57.232866Z","resolver_source":"doi","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":"2026-07-09T08:49:06.930168+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-09T08:49:06.930168+00:00","source":"openalex_status_cache"},{"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":"2026-06-29T20:29:53.591571Z","title":"Horst,On the classical solutions of the initial value problem for the unmodified nonlinear Vlasov equation","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:fcdb184198aa7d08288f8e444cfb4de1a03b075d87632d2b1d2d0b031d0d62c1","observation_id":"cbf65447-2fc2-4c73-bb0c-d824370a1135","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Horst,On the classical solutions of the initial value problem for the unmodified nonlinear Vlasov equation","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:d4378248525b6284d816211c000dec127992c9ae0b7fb7d80d9b27b354e0afe6","observation_id":"18407e08-ee71-4f86-9fd1-67fcc9696f1a","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Horst, R","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:315394e96d272828e22cd6249e257f66b0a000ef2045cd8f74ae0c1594093278","observation_id":"2aa65fd5-571d-4bbc-ad03-b1b8caede33e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Illner, H","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:703675635af7f67e08a14543020305aa3a34ef094f58ebaaffa2993211112a08","observation_id":"a3751095-be01-41da-a018-8d9a20cbde07","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:6c08e08905cd38b1f7a0c3fd476484db7de732d7a5129d3a1bf93958db8d671d","observation_id":"0ce17254-66c2-4fc6-8b97-bd7034196f35","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:db7e434adc51524f4ba897f153f2889a80ba4fd9d4358c4f24cb84d21a9034f9","observation_id":"5fa4d6ad-7b5e-4418-837b-8c9b140b439d","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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/s40818-023-00161-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of PDE","work_id":"cdb54cd8-20f2-403e-86b5-d1d37f4c02cc","year":2024},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:085fd8961f16e7e5db341b5c36e4483d9f60a6375fcf77e8f5a50b1c7d8110a3","observation_id":"a7b317e3-f620-401e-a2bb-f2b413b7e82d","resolution":{"observed_at":"2026-06-29T20:33:57.231243Z","resolver_source":"doi","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":"2026-08-03T18:08:42.845285+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-03T18:08:42.845285+00:00","source":"openalex_status_cache"},{"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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:4947b35707a1b8f99f78dc614ec678d0f2df835b265ac7f3804936a5ffb7d0f3","observation_id":"f70eca03-566b-4a8a-8fe3-39ef1d39c19e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:899a897fb0a0e24c82ee7760e28935fb1c164d44569af15e2362af3572f7bbd9","observation_id":"24e37f40-2a76-41cb-95ff-9ed71516b9ed","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:8b91c72a16b2134e99be36ba563970b9573ff3d2165fb77e3735c152bc540c44","observation_id":"f237af55-fab7-49ea-90c3-5912b4400d00","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Landau,On the vibration of the electronic plasma,Journal of Physics USSR 10, 25 (1946)","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:5f02345c16192185329b2dffcda6b30a0dc95dea3f65cdebad3ed0d3de869077","observation_id":"4c3e47f8-cff0-4b0f-8d5a-aa7726c2895c","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:9266c23143f90b9e5ffdff6e17759e40c81838a39c22b6e71e7237778bc6f116","observation_id":"2580a59c-bbd4-4cc0-8f6b-fe0f7e07d6f8","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Lin,Instability of periodic BGK waves,Mathematical Research Letters 8 (2001) 521–534","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a980c1b970e7ae0d63c326b9af96a203e54bf82964cbbe71d12a5fe6fcfe1781","observation_id":"311711ab-697f-4d69-9aa1-a499f4520a5f","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Lin,Nonlinear instability of periodic BGK waves for Vlasov–Poisson system,Communications on Pure and Applied Mathematics 58 (2005), 505–528","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:aa5e32edceb44317d3385ad865ccf9ed6307149c0eef7abe0049da987ac046d7","observation_id":"dcab9c34-1876-446a-b8a9-2fe2b381a7d9","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:004bcf34780572045475a61555efd5bd85e983458be111118456b099c1cf8da7","observation_id":"a084850e-72ac-4109-b336-7ee9040fc3e9","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Lions, B","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:0546b03ca7d789fd4670741088c20393c8f9c456a8bccb6b9647a519b7aa36cf","observation_id":"4a90460a-535c-4e65-b640-c7bd123d3b79","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Loeper,Uniqueness of the solution to the Vlasov-Poisson system with bounded density,Journal de Math´ ematiques Pures et Appliqu´ ees 86 (2006), 68–79","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:d6e3f8cab4f35907f01386a97cadb2a56065ad6fb8dd9fd4f612e87f8195a326","observation_id":"b474412e-4f70-4f80-8938-b5a018f2bed9","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Manfredi, P","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:e5209a0d07fd27b54065079364bc85dce6b1a205d9ae3c0803231f2a4ccee243","observation_id":"69821364-1c49-4208-88f9-d8a144476523","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Mouhot, C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:61a12a1fb1f3f09e8d49cc8e2086802243ba4ebccb82df292287c9b78ee30816","observation_id":"18a13069-fd48-47ce-ae1d-78fc1ad974f5","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2511.06595","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:14:04.790696Z","title":null,"venue":null,"work_id":"8422675d-8eb4-4672-a434-9899715531d1","year":null},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:19c220a7f9034e6b49b850464fe5d6f42123513c6876547f2b853748b4a70600","observation_id":"95c75198-84d7-4d7c-bd8a-d6afc6789d80","resolution":{"observed_at":"2026-06-30T00:14:04.792032Z","resolver_source":"arxiv_id","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"Noble, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:ec64018a94a24d7621cb4f31dbcbac55fe275c48362fe368138a324fe88a74be","observation_id":"06af09ca-8c19-4aa4-9531-d93f02f061f9","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Pallard,Space moments of the Vlasov-Poisson system: propagation and regularity,SIAM Journal on Mathematical Analysis 46 (2014), 1754–1770","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:9960b5f06aa12ec92f6dfc57a23fd36456be1e0e930bd4d5064b4da31ee6e18e","observation_id":"40491f4f-cb55-40c3-a499-046a02f55f8c","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Pankavich, R","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:a91e968a74636b7e0e24f4cda88d5b7cf11678297cd5d1a3fd445da6b4d5c02b","observation_id":"037d0312-6f13-456d-996a-071328a96e22","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Pfaffelmoser,Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data,Journal of Differential Equations 95 (1992), no","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:d437661f28bc204b57fc346b3460047b8b8881b1d2494868f5bc65190002b1ac","observation_id":"0bfed0e5-d169-4080-b303-0460143c5dde","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Rein,Collisionless kinetic equations from astrophysics: the Vlasov-Poisson system,Handbook of differ- ential equations: evolutionary equations","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:673985a0f754850ebbb54d92c2e16d7a5ef6de07dd1463b02bbbe15b05b844ac","observation_id":"2633c6cd-da9c-430c-8672-9c5d8410e186","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Roulley,Periodic and quasi-periodic Euler-αflows close to Rankine vortices,Dynamics of Partial Dif- ferential Equations 20 (2023), no","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:f1d0aa7a14e272bedac3fed4de91dce0c9d53dd882556f99c94046526d4e22b7","observation_id":"ec30f729-fb01-48d9-bbe4-8d12d8795046","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Roulley,Local and global bifurcation of electron states,Discrete and Continuous Dynamical Systems 45 (2025), no","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:e5f63dbca4cae89ec9d07099d0f049ef48cc2a06333e1e6def8b2295a4536840","observation_id":"67bb8785-4d02-4688-b5d1-72078b092306","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2602.09293","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T07:56:04.780191Z","title":"Roulley,Ions-electrons-states for the two-component Vlasov-Poisson equation,arXiv:2602.09293","venue":null,"work_id":"97f96388-d790-4789-8e53-a420f9ee0d84","year":null},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:001cb91a37e191b7d9edd77fb85821bbb231f87366405dc811e627f23a7d9b69","observation_id":"da5d2ee9-8222-481e-bf55-9fed81882ae1","resolution":{"observed_at":"2026-06-30T00:14:04.783937Z","resolver_source":"arxiv_id","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T20:29:53.591571Z","title":"R¨ ussmann,Invariant tori in non-degenerate nearly integrable Hamiltonian systems,Regular and Chaotic Dynamics 6 (2001), no","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:93ef4c69e7c8dfbd4669f6d8133778ff2d959e0393ed845c43c15576e43677f9","observation_id":"5c5f290e-e39d-44ce-9d5a-fc9630ecc9db","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Schaeffer,Global existence for the Poisson-Vlasov system with nearly symmetric data,Journal of Differ- ential Equations 69 (1987), 111–148","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:0d42ebbb668d12c0199a77b71077c9d75f3a3a4f40b852838b0a2b7c16ff5ea9","observation_id":"f3615eb2-95a8-4477-81aa-35494b872712","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:cc930bb439cf4333cff7bfa94b7a16afc4e9f2f553deb8c3a93779fe92b6f112","observation_id":"118c9308-c895-4e8e-997c-3bac2c5d169e","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Suzuki, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:b09e865027152ac151e8b231039a508f2a7f283ec3d79fec00738e2fe9309e35","observation_id":"42e24cb9-aabc-4a8c-8853-9e7eccc80d13","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:eda068df3aaebe48331fe535d5447b99787914f2f5aa034ce3eb28602b91ce23","observation_id":"0b5f3299-badd-4f7b-ba85-9bf60dcdd145","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","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":"2026-06-29T20:29:53.591571Z","title":"Wollman,Global-in-time solutions of the two-dimensional Vlasov-Poisson system,Communications on Pure and Applied Mathematics 33 (1980), 173–197","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-06-29T20:29:53.591571Z"},"links":{"citing_paper":"/paper/2605.25885"},"observation_digest":"sha256:fa5019683f10c05fd2e9459ab852e8cadb68c89c3e63dabac67b3cc7920c0fde","observation_id":"c7e192a9-bf8f-4514-bd54-0b222a59c199","resolution":{"observed_at":"2026-06-29T20:29:53.591571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.25885","last_updated":"2026-05-25T14:15:01Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-31T22:03:54.189716Z","submitted_at":"2026-05-25T14:15:01Z","title":"Quasi-periodic traveling electron layers"},"reference_resolution":{"displayed":94,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":85,"verified_exact":9,"verified_fuzzy":0},"total_outbound_references":94},"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 94 of 94 outbound references and 1 inbound Pith citation observation for arXiv:2605.25885."}