{"as_of":"2026-08-18T18:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b9500f4502f3cb2d3a15a615ab89a5a534690233c974d530ec78b2481f09d369","coverage":[{"denominator":68,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":68,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:00:40.447007Z","state":"measured"},{"denominator":68,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":68,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.04938/citation-record","integrity":"/paper/2608.04938/integrity","json":"/paper/2608.04938/citation-record.json","paper":"/paper/2608.04938"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.230710Z","title":null,"venue":null,"work_id":"4e9b626c-c9f0-40fa-99ad-4eb657cf1f0c","year":2006},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.218578Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:94031b6893b63314ef0634130f0ca5cd5e7436a70a85c999381aec578074de0d","observation_id":"9598f48f-44d9-4eef-8b51-86c9a906a394","resolution":{"observed_at":"2026-08-15T15:00:41.234818Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.222747Z","title":"Ablowitz and H","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.222747Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:7aa2bb0d12bd59f3bbdd9c27a44554e6ca6bdffbad842c9e7b06df3a0bf11ed5","observation_id":"09b08326-3607-4ade-894e-2ef2716e0932","resolution":{"observed_at":"2026-08-15T15:00:40.222747Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.214065Z","title":"Ahmad and M.D","venue":null,"work_id":"1be5f1e5-54e7-46b4-8149-f0358b3cc9b5","year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.226205Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:10d7297b89d298229747fc8314d3d498806d913bb2551fd915f773ca5c372c5e","observation_id":"aceffa77-4ed8-4de7-a9bc-c01471f7b2c7","resolution":{"observed_at":"2026-08-15T15:00:41.217422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.203874Z","title":"Akers, D.M","venue":null,"work_id":"deb7bc14-9db4-4fa4-bc29-ef538ac550b6","year":2017},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.230068Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:924860f03fd0e87dffc24c0771b297e9dc48b6c66a89e05fefa0cdc698c11b1e","observation_id":"07087089-4b22-450d-a824-84fcdea3b949","resolution":{"observed_at":"2026-08-15T15:00:41.207241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.193468Z","title":"Akers, D.M","venue":null,"work_id":"8150dde4-9ae1-4df5-bf6a-033bdce0b4e6","year":2019},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.234498Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:c15beb020d5fcaa1f619868a929a723166fde99f8e0160049599eb2aebbfddc4","observation_id":"84251809-e783-4166-86bd-85ed5f1d3997","resolution":{"observed_at":"2026-08-15T15:00:41.196939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.237803Z","title":"Baldi, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.237803Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:b263f48a3c7ada21b9d5c8b5062dc0d48912c6c27d609d2f33aa1d514f93079a","observation_id":"adc443fd-d9c0-4834-900a-097215fdc9dd","resolution":{"observed_at":"2026-08-15T15:00:40.237803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.177775Z","title":"Baldi, J.F","venue":null,"work_id":"17abd921-76f4-4451-a656-3ad6de397028","year":2011},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.241367Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:711c50648f48cb813f09c93cd227fe2d2212ca7effc7af5e30b3475c180a887c","observation_id":"11353d9d-2e8c-4645-8b93-a7f2be631a55","resolution":{"observed_at":"2026-08-15T15:00:41.181282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.167363Z","title":"Blyth, E.I","venue":null,"work_id":"b91c82ef-97f0-42d9-b83e-1476e695a85b","year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.244697Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:6553e892dfdac5034d2ef3bdc4d1e87202a2b1ee08187789f60d05622dcc2a7d","observation_id":"aea1a570-b538-4238-bdfa-eba6b6664aa6","resolution":{"observed_at":"2026-08-15T15:00:41.171275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.157292Z","title":"Benjamin.Instability of periodic wavetrains in nonlinear dispersive systems, Proc","venue":null,"work_id":"2919fecb-adeb-40cc-8fc4-5a84121c0db4","year":1967},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.248212Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:a7314fe4e953dd8f16358fad3695d7548c68f54bcba0a4eb9521636c72c3fbba","observation_id":"a257c8f3-ced5-416d-a665-eb4d600754c0","resolution":{"observed_at":"2026-08-15T15:00:41.160645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.147168Z","title":"Benjamin and J","venue":null,"work_id":"e88b1921-63c4-4323-88e9-b81c07d469a0","year":1967},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.251480Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:a455e85f68f51b7289cd4eee7168571ed40deddfb654876165da2f41cc96a286","observation_id":"0f09a2d4-8608-420b-beed-d3cb4aa52627","resolution":{"observed_at":"2026-08-15T15:00:41.150930Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.254590Z","title":"Berti, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.254590Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:f7a4047a0aeab67e257f100f257b388b65dc0fce05613ec3cd195478d136af4d","observation_id":"bcde7720-9011-4834-ab00-cda412c1ba7a","resolution":{"observed_at":"2026-08-15T15:00:40.254590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.01939","last_updated":"2026-07-02T09:32:55Z","snapshot_observed_at":"2026-08-08T13:15:37.629363Z","submitted_at":"2026-07-02T09:32:55Z","title":"McLean resonances and $3d$ spectral instability of Stokes waves","version":1},"cited_work":{"arxiv_id":"2607.01939","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.01939","snapshot_observed_at":"2026-08-15T15:00:40.746989Z","title":"McLean resonances and $3d$ spectral instability of Stokes waves","venue":"math.AP","work_id":"288a4627-efeb-49b1-9647-942d20876fe4","year":2026},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.257998Z"},"links":{"cited_paper":"/paper/2607.01939","citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:a97777f8dcaa4d1b14e8c09800b84cb3db83ec5649f0dbfb54cd30b47044d200","observation_id":"b6f149c8-9574-4fad-bd77-f654ad57e5c4","resolution":{"observed_at":"2026-08-15T15:00:40.751008Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.130199Z","title":"Berti, A","venue":null,"work_id":"dbf29722-7735-480c-9a62-0681a5b9b4cf","year":2022},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.261605Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:bef0b14f9c97ab509999a8386443312a07f8f72ef6695ff8b8a9ba4da176611b","observation_id":"27594c1e-cc7e-426d-849b-c8eda7cb8ef7","resolution":{"observed_at":"2026-08-15T15:00:41.133551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.120505Z","title":"Berti, A","venue":null,"work_id":"7396551a-ac1d-46f0-bcdb-8ac2d33f8381","year":2022},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.264789Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:b93b9225708b99995a529593d86540a34c5c3e68552b0ee9ebaf24fc8564fa10","observation_id":"954a3053-51dd-41fe-a978-bb94e8e96d4b","resolution":{"observed_at":"2026-08-15T15:00:41.123841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.267850Z","title":"Berti, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.267850Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:0367ede587a16639f481dec978e6e67cc4de597b42efa2109c330c7c50a6d9d9","observation_id":"e95cf1ec-d69e-4e12-aefe-78f7a892323a","resolution":{"observed_at":"2026-08-15T15:00:40.267850Z","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":"2026-08-15T15:00:40.270992Z","title":"Berti, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.270992Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:c6f9903e09065efdb5d27e7aa3d8ba9ac1e3647021c1babaa171a2067f253413","observation_id":"8659088d-1537-4657-9154-8c2babd1dd98","resolution":{"observed_at":"2026-08-15T15:00:40.270992Z","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":"2026-08-15T15:00:40.274065Z","title":"Berti, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.274065Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:434d7592543d4bcfc72909c526e9ad27677f178d31f2565f6ee06d9c8e489687","observation_id":"17889e63-a125-41b9-98d3-2b12b65ccfae","resolution":{"observed_at":"2026-08-15T15:00:40.274065Z","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":"2026-08-15T15:00:40.277145Z","title":"Bridges and A","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.277145Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:fae82696aefdc8a28e02eaf451e95421e0f7da7c25d414953ea2c084be2fe191","observation_id":"8a963bd1-00d5-42d6-9ae4-2ab8939e0ddb","resolution":{"observed_at":"2026-08-15T15:00:40.277145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.091168Z","title":"Chen and Q","venue":null,"work_id":"91f3b404-e8bf-41a7-872f-3ca078a2f20f","year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.280208Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:412530d380a2413f36038f104a241b598283fab567def4fa8b76f3fbdd0fd71b","observation_id":"3d0e0cd9-e009-4993-9d08-933cfa539603","resolution":{"observed_at":"2026-08-15T15:00:41.094922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.283347Z","title":"Craig and C","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.283347Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:492e93ee773e4972e95811329efad2d1ef1c0a4d79bcec2db025c61ca3021fe6","observation_id":"bb0b466c-bc75-4ae5-8999-f66d4b7dbea2","resolution":{"observed_at":"2026-08-15T15:00:40.283347Z","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":"2026-08-15T15:00:40.286183Z","title":"Creedon, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.286183Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:1b8fb763991ac615236ec83cce4ae3e15bc31355e96c2c4c068ee153f56a9513","observation_id":"c11f4e9a-7b0b-40eb-bb9f-4fdcf47fdfca","resolution":{"observed_at":"2026-08-15T15:00:40.286183Z","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":"2026-08-15T15:00:40.289190Z","title":"Creedon, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.289190Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:25040dc5d1c517d959d4cec28ff717e858e1ced5562bdfef42d41dca9f237db9","observation_id":"93af6b84-4ab0-4d67-8d2b-b29c44937416","resolution":{"observed_at":"2026-08-15T15:00:40.289190Z","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":"2026-08-15T15:00:40.292906Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.292906Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:da78ef687de93751f6ea3af77d37efcc4e58d4413ef7a86fd08cf5d7b7dd4429","observation_id":"8029eec3-a716-4687-a074-46431fb9741b","resolution":{"observed_at":"2026-08-15T15:00:40.292906Z","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":"2026-08-15T15:00:40.296170Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.296170Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:cdf257a5e77c75ebaa88f96f571756791f74c909286675ae1ae8643cacb41d4e","observation_id":"5f53bf6a-8f58-49d1-a23f-1daf2e38b24d","resolution":{"observed_at":"2026-08-15T15:00:40.296170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.053767Z","title":"Dammann, M.A","venue":null,"work_id":"1f1c48d3-8c84-42a5-a633-5ca1f039adb3","year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.299356Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:747d300285cc32654fec3b38f4cfaef7e1e715b54a7dda6aa7cf71c8ad298938","observation_id":"0590ae46-c0b3-4149-962f-a87764932c8c","resolution":{"observed_at":"2026-08-15T15:00:41.057590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.302571Z","title":"Deconinck and K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.302571Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:32064cc828d54bbb377c3d4a945955be27e9eea4165ae1c349b7bd19b1d647dc","observation_id":"d49d168f-87da-483b-87c7-c89ec8cf1911","resolution":{"observed_at":"2026-08-15T15:00:40.302571Z","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":"2026-08-15T15:00:40.305724Z","title":"Deconinck, O","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.305724Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:4043e8f91ea738b5c528340244eac748ef2294125be64af398d8528e006dcf7a","observation_id":"3bb4e663-2382-4187-8d1d-064e0e2ba47f","resolution":{"observed_at":"2026-08-15T15:00:40.305724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.032715Z","title":"Deike, J.-C","venue":null,"work_id":"06d0b5e3-5c88-4a78-bf87-145c73710936","year":2013},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.309018Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:ea157b45768d675c55b0f202db9a98b9164c92910802fec6ed9620ae7ca7818f","observation_id":"42575690-bdc7-49be-922c-2d6d26c814e7","resolution":{"observed_at":"2026-08-15T15:00:41.036062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.022811Z","title":"Deike, M","venue":null,"work_id":"a740776c-4c42-4353-865e-9d5c8078b3c4","year":2017},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.313157Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:2a7b039c264712150b1f94b0f53a0a21ae5676e32d9c4184144323cf5df8452c","observation_id":"ae50821d-36b2-403e-abca-946f3658ecea","resolution":{"observed_at":"2026-08-15T15:00:41.026217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.316453Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.316453Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:ec2c2137984712418c4f35f9d5a0c46720f3983b5d357a6dab63e8979eb2c84a","observation_id":"681637e9-032c-4aea-8952-59d013dfe7fe","resolution":{"observed_at":"2026-08-15T15:00:40.316453Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:41.005519Z","title":"Groves, B","venue":null,"work_id":"df06f43b-8afe-437e-8c70-b9ebc8cc5daf","year":2016},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.320041Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:59dcbdf41eb20c3d381c26be9a85c5ad6efbf178fb41f5525e83e05e4742950d","observation_id":"820f5c8a-ec3b-4a6e-b2d3-31f81e015c36","resolution":{"observed_at":"2026-08-15T15:00:41.009771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.995305Z","title":"Guyenne and E.I","venue":null,"work_id":"40de0be4-cd8a-4f28-af03-f4edd56f13f1","year":2012},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.323913Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:dbf8d2bc43088c99eb5d606163cfe47f9b28b77d9e1c2030d05f2f7a13bbd888","observation_id":"f7895cf2-f330-494b-8d94-525cfc76a355","resolution":{"observed_at":"2026-08-15T15:00:40.998760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.327095Z","title":"Haragus, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.327095Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:4431e14943f13de221cfca65fc8df1277e2bb20f072bc0ee6679f814994289f9","observation_id":"294360eb-4a0b-43b5-8894-72dd0e2dac19","resolution":{"observed_at":"2026-08-15T15:00:40.327095Z","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":"2026-08-15T15:00:40.330287Z","title":"Hur and Z","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.330287Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:5a2181b33a4c1039f045a68b58e00d5f6eebbd5c4137aa5d9f3f227a94a882c9","observation_id":"6bb9767c-651e-4532-be6a-66cc2de048e1","resolution":{"observed_at":"2026-08-15T15:00:40.330287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.01368","last_updated":"2026-05-12T07:10:41Z","snapshot_observed_at":"2026-08-15T04:04:10.435564Z","submitted_at":"2023-11-02T16:24:40Z","title":"Stable and unstable capillary-gravity waves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.01368","snapshot_observed_at":"2026-08-15T15:00:40.333420Z","title":"Hur and Z","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.333420Z"},"links":{"cited_paper":"/paper/2311.01368","citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:8560aeda7dcfddda349f3044e0ec2714a232074f7b8126d450be230acec37c08","observation_id":"10f147e6-4c3d-4785-b343-2d12c073a0fe","resolution":{"observed_at":"2026-08-15T15:00:40.333420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.971996Z","title":"Hsiao.Unstable Stokes waves in constant vorticity flows","venue":null,"work_id":"6f9572bb-2a6c-44d5-94e2-c24490b53004","year":2024},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.337335Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:1e630a46208ca54f42289f0dca49714251db64e2f3442d9a4eb9ec7fc04c5927","observation_id":"062829a4-8c18-49a8-9ede-25639af863c7","resolution":{"observed_at":"2026-08-15T15:00:40.975834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.340816Z","title":"Hsiao and A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.340816Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:d45a04b8a34264608f05a6d83934d1533a6eb56ff03a05fbcd90b435932c6fac","observation_id":"755ceb51-e766-4b8b-b102-6eb9d2c7a7ca","resolution":{"observed_at":"2026-08-15T15:00:40.340816Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.09657","last_updated":"2026-06-08T15:42:53Z","snapshot_observed_at":"2026-08-08T13:31:48.978955Z","submitted_at":"2026-06-08T15:42:53Z","title":"Benjamin-Feir spectrum of hydroelastic Stokes waves","version":1},"cited_work":{"arxiv_id":"2606.09657","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.09657","snapshot_observed_at":"2026-08-15T15:00:40.609341Z","title":"Benjamin-Feir spectrum of hydroelastic Stokes waves","venue":"math.AP","work_id":"5e7c820f-f20a-4cc0-a7c8-22e64dc2f677","year":2026},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.344785Z"},"links":{"cited_paper":"/paper/2606.09657","citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:7e8577f67d2cc143c6856157d4391cf7ae6afd7cd7f02b6fe92fc4f0e7ed086e","observation_id":"c7f9cb1b-e449-4c25-a8ea-4818a84f514b","resolution":{"observed_at":"2026-08-15T15:00:40.614938Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.16724","last_updated":"2026-08-05T09:09:45Z","snapshot_observed_at":"2026-08-16T15:39:50.698888Z","submitted_at":"2026-04-17T21:56:39Z","title":"Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.16724","snapshot_observed_at":"2026-08-15T15:00:40.348423Z","title":"Hsiao and X","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.348423Z"},"links":{"cited_paper":"/paper/2604.16724","citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:c8045d087e44982be8f1c93aba361068d8344d99134bedab656ae16d2d38a2d8","observation_id":"45d198fc-c979-45db-a184-8e16cdd462a6","resolution":{"observed_at":"2026-08-15T15:00:40.348423Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.962100Z","title":"Jiao, L.M","venue":null,"work_id":"06400e3a-86f1-45c1-a260-a1c59ff9c82d","year":2025},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.352113Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:3e12b6e921b669aaaae65ede96753eceb5eae83b2385909f2824154ecbbb661d","observation_id":"b006f688-9532-43c5-8f04-4b0548b9ea4c","resolution":{"observed_at":"2026-08-15T15:00:40.965420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.952588Z","title":"Kato.Perturbation theory for linear operators","venue":null,"work_id":"0b30c79b-d9a6-4458-9380-42aae3db60c4","year":1966},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.355375Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:a66cb19b9deed24e3bf76227a21b0779863028c1e2438e40cef0a74f5aeb79ac","observation_id":"0545b320-6568-4b84-9608-4dff2469ff7e","resolution":{"observed_at":"2026-08-15T15:00:40.955983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.942928Z","title":"Korobkin, E.I","venue":null,"work_id":"bd134d13-6e85-46c7-9aef-6a12a2fc4c31","year":1947},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.358481Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:de5814f5978038fc1b47d733214fb9cf122dcaeca258a527b0473286ba2a9493","observation_id":"b39bfd30-8dcc-4cbb-ae8a-577a460e45ce","resolution":{"observed_at":"2026-08-15T15:00:40.946111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.933077Z","title":"Lannes.Well-posedness of the water-waves equations,J","venue":null,"work_id":"407e54af-2e84-4f6c-8178-d116835f116b","year":2005},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.361628Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:31f4de15b75c5a3b03e2e345c4c17bc6998d0075ddb8b1e341219f3216295458","observation_id":"e48f2c50-5a62-4e81-8452-42b975e27dce","resolution":{"observed_at":"2026-08-15T15:00:40.936673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.365460Z","title":"Lannes.The water waves problem","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.365460Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:d74471800e9aadc249e3794841012b68910954aa04b7f7fc87ea52ba46abcca4","observation_id":"beaa6ae3-2d94-472e-b6a7-d1da71d3ac2b","resolution":{"observed_at":"2026-08-15T15:00:40.365460Z","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":"2026-08-15T15:00:40.369061Z","title":"Levi-Civita.D´ etermination rigoureuse des ondes permanentes d’ ampleur finie,Math","venue":null,"work_id":null,"year":1925},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.369061Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:905993e401dcff190ce8b8c14a706337e3991910a7b07b9cd2a859fa7b7e5251","observation_id":"f0ddb915-be95-40e9-a318-d431b0c990a1","resolution":{"observed_at":"2026-08-15T15:00:40.369061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.911928Z","title":null,"venue":null,"work_id":"56802ec2-3b8b-4727-8517-9907586ab4c4","year":1965},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.372272Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:fae13bd21afc9bd506d4f1a85757dcf94eedba3290365cd9002883f2585a2b56","observation_id":"54362f27-050c-40ee-9145-07fe09ccc0fb","resolution":{"observed_at":"2026-08-15T15:00:40.915234Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.375540Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.375540Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:3f2075907778d789dac80680ef3338309d44c7044ff3487c8178f27d9afa860c","observation_id":"9a07fb02-5ec2-4cab-9299-7353ef4df7aa","resolution":{"observed_at":"2026-08-15T15:00:40.375540Z","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":"2026-08-15T15:00:40.378697Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.378697Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:9de6dd95e4efae11ace2a9646232b96889e3b1a06309f8dd6ce7bf3c8d657e3c","observation_id":"497d18a0-e9ff-4f7e-8fbf-108516797575","resolution":{"observed_at":"2026-08-15T15:00:40.378697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.890987Z","title":"Milewski, J.-M","venue":null,"work_id":"36080cda-161a-450a-b9bf-0dae2b3d9ba0","year":2011},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.382179Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:25eebb986f2ffd7cad23a2f436fa11fcab80d5935501e898271567a5e6741738","observation_id":"d593d151-6f42-4ae1-a45c-6ded3cc7d639","resolution":{"observed_at":"2026-08-15T15:00:40.894286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.385237Z","title":"Nekrasov.On steady waves","venue":null,"work_id":null,"year":1921},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.385237Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:bd518099b82044aecadc7e4213518395b7c321bf9d1294dae1668d5444a58d82","observation_id":"e24f8bc4-c705-40a0-892f-26a1ed45464a","resolution":{"observed_at":"2026-08-15T15:00:40.385237Z","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":"2026-08-15T15:00:40.388713Z","title":"Nguyen and W","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.388713Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:93aa29020a6a5814093240b71dcec64c2f13271e109d02d1c15587214528ddca","observation_id":"2a5c9b5e-3e40-4ce6-81c8-2e7bc5c65a4a","resolution":{"observed_at":"2026-08-15T15:00:40.388713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.868499Z","title":"Ono-dit-Biot, M","venue":null,"work_id":"4fd9c596-aa1b-425c-af33-63a91e93d6e8","year":2019},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.391905Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:5cf6de5a5379af4a6247aaf2da79edffcee18d2bab64a96c3d08d2f69eced0b4","observation_id":"cf7aaec6-ba8c-4297-8785-e83aecab6bb9","resolution":{"observed_at":"2026-08-15T15:00:40.871919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.394955Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.394955Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:4098d617f75e49154c12deadddc8dec6a46ee94e76b905fd870f32084bf86a18","observation_id":"971648c4-8e9f-4328-8edb-bde1aab38a28","resolution":{"observed_at":"2026-08-15T15:00:40.394955Z","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":"2026-08-15T15:00:40.398041Z","title":"Reeder, M","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.398041Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:8a70abd2d76b1a81d865f1def11427a62c46a7a1a4d9c60ca5fa0cbed2b2eba9","observation_id":"814ee2ad-caa5-44b6-980e-710e12948568","resolution":{"observed_at":"2026-08-15T15:00:40.398041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.847479Z","title":"SquireOf ocean waves and sea-ice revisited","venue":null,"work_id":"00180ffa-5064-4a4c-abea-0a5e96683603","year":2007},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.401210Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:c9546a8f14fa380477e3d74efbc454d01be254696d02a578807869f93f4c4226","observation_id":"7c1ec58e-eb20-4a04-83e7-36cc1111320f","resolution":{"observed_at":"2026-08-15T15:00:40.850849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.837533Z","title":"Squire, J.P","venue":null,"work_id":"b462bb11-2d49-48bc-93ef-19ca2a76e5bc","year":1995},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.405350Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:997bc41c7116182488559abdd588665090a3c582043f4e23b2937865c9a878d5","observation_id":"aa447a61-c6bf-4caa-aa12-378a12c54f23","resolution":{"observed_at":"2026-08-15T15:00:40.840891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.408876Z","title":"Stokes.On the theory of oscillatory waves","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.408876Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:d494986ca2ada18fdbb22f00d7902e4e15b20407afb19692d93dc4113e0a182c","observation_id":"92c84069-c781-4b54-b255-e0bf4dc326a0","resolution":{"observed_at":"2026-08-15T15:00:40.408876Z","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":"2026-08-15T15:00:40.412109Z","title":"Struik.D´ etermination rigoureuse des ondes irrotationelles p´ eriodiques dans un canal ´ a profondeur finie","venue":null,"work_id":null,"year":1926},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.412109Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:13b2e9cb80f2bb2d5d75effc8f4a10282448b78f487a69e79b4783f9dd748233","observation_id":"f40d2bac-c155-4849-91f7-7cc69d7ac752","resolution":{"observed_at":"2026-08-15T15:00:40.412109Z","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":"2026-08-15T15:00:40.415704Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.415704Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:4308ddef0d5ffcb7a306373a02b85451e1ab1aa9a87c3ed6dff16013bd1db0ad","observation_id":"e1289c5f-a6e4-4294-877c-415822f213f8","resolution":{"observed_at":"2026-08-15T15:00:40.415704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.816377Z","title":"Toland.Steady periodic hydroelastic waves, Archive for rational mechanics and analysis","venue":null,"work_id":"a1963997-f19a-4702-aeb3-8847fe0ea9d9","year":2008},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.419568Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:2ec358ec5d74c292b3d3e453a73021ed7cab147b3229b82a5677ec038341b52b","observation_id":"e7d45833-41af-4622-9316-1d84e062fe7b","resolution":{"observed_at":"2026-08-15T15:00:40.820171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.806914Z","title":"Trichtchenko, P","venue":null,"work_id":"d9f17e2a-b1a5-43fd-bbbb-536a8616fb6c","year":2019},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.422411Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:8d12cfb9d49b7cc048c73e0f33f215331172a10dd6e1eaeedb7a2e219077df98","observation_id":"5a7ec010-7525-4f4d-ab9e-156ad8132f49","resolution":{"observed_at":"2026-08-15T15:00:40.810149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.425568Z","title":"Wan and J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.425568Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:babd79bffc37c5be604efaf556cb87d5d7070c53f3f5a1176e5dfe421b6c825e","observation_id":"51441af3-2b93-4872-9451-f9c4e94c4f34","resolution":{"observed_at":"2026-08-15T15:00:40.425568Z","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":"2026-08-15T15:00:40.428784Z","title":"Wilton.On ripples.The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science (6), 29(173), 688–700, 1915","venue":null,"work_id":null,"year":1915},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.428784Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:7e9abf9c33a331544e2fb0bf2396f229e1d2f3fa11f36f71288328d8ce947ef7","observation_id":"06a147dd-0b96-49d6-9632-51e7f0b007b8","resolution":{"observed_at":"2026-08-15T15:00:40.428784Z","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":"2026-08-15T15:00:40.432118Z","title":"Whitham.Non-linear dispersion of water waves","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.432118Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:6c5a7bea819fc7a50b1a7db88988685d13e4b3d424cb5ae8d30beab28f82c39e","observation_id":"58e898a3-baa3-4774-b0d1-fd6d17fae2c0","resolution":{"observed_at":"2026-08-15T15:00:40.432118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.785781Z","title":"Yang.An alternative proof of modulation instability of Stokes waves in deep waterarXiv, 2021","venue":null,"work_id":"d0ab52d5-cedc-4585-a016-953b1801184c","year":2021},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.436204Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:d693159c7478480ff5b5358d795959537f0d13a5312042da95ba85342e15cb18","observation_id":"54598fcb-50f2-4aca-90d3-00e65ed219d5","resolution":{"observed_at":"2026-08-15T15:00:40.789271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.439275Z","title":"Zakharov.Stability of periodic waves of finite amplitude on the surface of a deep fluid","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.439275Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:f12945bc9da768543429b68b1115cf146ec95cd0124eb6de2995ed91ff92107a","observation_id":"81ee4fb9-1ab5-4d36-a757-d078863e3f4e","resolution":{"observed_at":"2026-08-15T15:00:40.439275Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.769536Z","title":"Zakharov.Stability of periodic waves of finite amplitude on the surface of deep fluid","venue":null,"work_id":"0b6eb643-0692-4902-b34f-9b6048124c5e","year":1969},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.442378Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:edad11addc8fb849a245e251d825ff147659e60151b835d38275111595d54c44","observation_id":"815a9a27-e5c9-4835-99c3-56b62edbe866","resolution":{"observed_at":"2026-08-15T15:00:40.773282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:00:40.758929Z","title":"Zakharov and V","venue":null,"work_id":"960dedd3-605b-4fb5-92ae-f69ddb9de886","year":1970},"citing_paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T15:00:40.447007Z"},"links":{"citing_paper":"/paper/2608.04938"},"observation_digest":"sha256:46640635c156cdc3b2c04ef06deb29ac4cc27bcaccf81084ecbac35ec7370348","observation_id":"4dbc877b-f8cc-4c69-888e-22a554ffa06a","resolution":{"observed_at":"2026-08-15T15:00:40.762873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.04938","last_updated":"2026-08-05T15:05:58Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T15:40:32.000870Z","submitted_at":"2026-08-05T15:05:58Z","title":"Modulational spectrum of infinite-depth hydroelastic Stokes waves"},"reference_resolution":{"displayed":68,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":2,"verified_fuzzy":29},"total_outbound_references":68},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2608.04938."}