{"as_of":"2026-08-13T10:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:63ed874f5ee8b5e793251322701f3fdf1582780cd7d96f89447fdfe962bc6965","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T13:31:09.797490Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2607.19119/citation-record","integrity":"/paper/2607.19119/integrity","json":"/paper/2607.19119/citation-record.json","paper":"/paper/2607.19119"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T13:31:03.995628Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:03.995628Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:9b75fc17fbac0d6c16e6a3d227af7893f4b724bf6e2eb3b9cb8c93a1df45ae89","observation_id":"017d1902-e565-412f-981b-4871e95017a3","resolution":{"observed_at":"2026-08-01T13:31:03.995628Z","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":"2026-08-01T13:31:04.177798Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.177798Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:88a8d14e7725b39a692d6ffab80641eed166860a6fccd001631f42c70e4fd029","observation_id":"037ecdea-6e73-4e35-9b0c-0ee0da01fb7f","resolution":{"observed_at":"2026-08-01T13:31:04.177798Z","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":"2026-08-01T13:31:04.359029Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.359029Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0a6e4870b6da3dd1586d0d7125bdd153bf0694bce7c64d6ae59147686045417f","observation_id":"c946385d-9bac-435c-b0e6-9e9a17f89477","resolution":{"observed_at":"2026-08-01T13:31:04.359029Z","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":"2026-08-01T13:31:04.487913Z","title":"Beals and R","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.487913Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:af0f6b86a5ccc157757bb2906c036ca662e7d8f1bf74ad56df0653f2f1440af7","observation_id":"319621cf-7a19-4f48-980c-34684eefc3be","resolution":{"observed_at":"2026-08-01T13:31:04.487913Z","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":"2026-08-01T13:31:04.534433Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.534433Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:4646550a32cfa8be04fee90481703ebcf7e2b59ad1c0e6de3558b6eb8e03e0aa","observation_id":"d6b3a724-1416-409b-b449-3ddfacdd506f","resolution":{"observed_at":"2026-08-01T13:31:04.534433Z","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":"2026-08-01T13:31:04.615409Z","title":"Biondini, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.615409Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:52e820c362bd70fb3e36b176a3e3cbe5e1c664078a20fbfd1cb0dd0ee6f8a888","observation_id":"5af9dc0a-8fae-411b-89d8-735d1ad02d71","resolution":{"observed_at":"2026-08-01T13:31:04.615409Z","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":"2026-08-01T13:31:04.677678Z","title":"Biondini and G","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.677678Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:c6a9036175b07602654e0c6f185a33db1749d5300884400ddf978104bbb3578c","observation_id":"608bef6d-6964-49f0-b6b0-239e3b0f6652","resolution":{"observed_at":"2026-08-01T13:31:04.677678Z","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":"2026-08-01T13:31:04.754061Z","title":"Borghese, R","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.754061Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:14b2499b59eac2126735f65d6e6a4d936ea5acdb7c10fb4610f815b7ddabdb98","observation_id":"7c4010c3-0a35-4ba5-ad49-520dfb0aef9d","resolution":{"observed_at":"2026-08-01T13:31:04.754061Z","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":"2026-08-01T13:31:04.860132Z","title":"Boutet de Monvel, I","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.860132Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:d6f21efd4b1ab6da0cb5feda78218281f8494a6aa01f1e8f04d2863f042d8671","observation_id":"cd96441f-d998-4afa-becd-4ca611a171d0","resolution":{"observed_at":"2026-08-01T13:31:04.860132Z","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":"2026-08-01T13:31:04.916358Z","title":"Boutet de Monvel, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.916358Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:5adf311298e61d873d9ba510ea08ae2542f098a64f7067e577078c43d487617f","observation_id":"cc79f8ea-fc05-4c28-83a8-18f42abd8804","resolution":{"observed_at":"2026-08-01T13:31:04.916358Z","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":"2026-08-01T13:31:04.993878Z","title":"Boutet de Monvel, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:04.993878Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:85c03351234ff5a6237f36d090316e4d7744b57f4caf3e3ad4d3cd6ca0891287","observation_id":"12fcfcdc-9950-4cba-88c4-e99c61c2d99b","resolution":{"observed_at":"2026-08-01T13:31:04.993878Z","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":"2026-08-01T13:31:05.075714Z","title":"Boutet de Monvel, V","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.075714Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:ae1f38ac815beddec26aef73f19667e37b06c39b7d95ef2e5a36ce42bfe81f7c","observation_id":"40216246-77b3-4998-9c36-6a956bc90cf7","resolution":{"observed_at":"2026-08-01T13:31:05.075714Z","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":"2026-08-01T13:31:05.104329Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.104329Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:27412fac3265fdb9f9db3ebf97b6d343f0c455525a525d77752f3401d813cc23","observation_id":"13502434-4779-4657-a686-887bfead78a4","resolution":{"observed_at":"2026-08-01T13:31:05.104329Z","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":"2026-08-01T13:31:05.256644Z","title":"Cao and P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.256644Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:4fb13350f955ef7bdcd84863c3522e41be2087ed0da0152c33d0c140acdabc74","observation_id":"6bd7dbd6-74ef-4f31-ac95-89e970fdff6c","resolution":{"observed_at":"2026-08-01T13:31:05.256644Z","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":"2026-08-01T13:31:05.403145Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.403145Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:dcf21c5e1dfebc567b58ae0df861bab2f871500512a894b4dc1b1da6e9cb2d2e","observation_id":"cdd36ec3-dff1-46fc-9f55-b8ba2d596c22","resolution":{"observed_at":"2026-08-01T13:31:05.403145Z","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":"2026-08-01T13:31:05.622525Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.622525Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:c461ccc99cc178e6e3f7823dd34339231e8f00a24581ddb4f8f8af109961ebee","observation_id":"e53c28d8-3b55-4503-9cdf-8ad31d39d3b3","resolution":{"observed_at":"2026-08-01T13:31:05.622525Z","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":"2026-08-01T13:31:05.731239Z","title":"Chowdury , D.J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.731239Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:ff7e0dd8ade782c92504db185cd137e86110542fdf017a5e10b9ce64fbb11b64","observation_id":"d8cf02ce-900c-4257-bdaa-c080cbfc79ee","resolution":{"observed_at":"2026-08-01T13:31:05.731239Z","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":"2026-08-01T13:31:05.888979Z","title":"Claeys, A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:05.888979Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:3d7f55536251297f73e56372c7bfe61542cec9ef23a3eb8a83f7b36613fb080b","observation_id":"73ef6684-bd1b-4768-95bb-817ed9b8917c","resolution":{"observed_at":"2026-08-01T13:31:05.888979Z","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":"2026-08-01T13:31:06.050955Z","title":"Cuccagna and R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.050955Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:be3ab6d6f6d220b8c25206dba24ac532cb9f83758e30b037a09d97f67a78c926","observation_id":"fd048d5b-1c44-4a77-a648-587c3bbaa88f","resolution":{"observed_at":"2026-08-01T13:31:06.050955Z","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":"2026-08-01T13:31:06.169135Z","title":"Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hil bert Approach , American Mathematical Society , 1999","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.169135Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:9338766636b066d3deb095088575809c8e42e0af1bb27f24cd8d27201e799a86","observation_id":"a50b5e4f-84ed-4594-9498-786a9bd27f69","resolution":{"observed_at":"2026-08-01T13:31:06.169135Z","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":"2026-08-01T13:31:06.288906Z","title":"Deift, A","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.288906Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:5cd14987e36ca61be9571d1e02557dfd6683849241219867ec58024c97189ccd","observation_id":"0afb60a7-384b-4595-8af6-06d5bd73ae3f","resolution":{"observed_at":"2026-08-01T13:31:06.288906Z","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":"2026-08-01T13:31:06.398430Z","title":"Deift, S","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.398430Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:87d153933abb0193193f54d2ae045467a594cfd44bd347fef608e8ea8b121ab6","observation_id":"6205dec9-e8a3-4493-aa36-661235cbc36d","resolution":{"observed_at":"2026-08-01T13:31:06.398430Z","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":"2026-08-01T13:31:06.534761Z","title":"Deift, S","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.534761Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:319a73cc6c8673dfeda6cf420d33cc11b90670b98457ff73c52c3b5d58d2655b","observation_id":"10b3859b-ed28-453e-93d5-0c5e927ed188","resolution":{"observed_at":"2026-08-01T13:31:06.534761Z","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":"2026-08-01T13:31:06.684834Z","title":"Deift and X","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.684834Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:fadad4f39eca84eb770b90c41c7a186e580c04bcdbe54399cce2a599931af1c8","observation_id":"9781579a-1d9a-46d7-8f63-c413ae8007df","resolution":{"observed_at":"2026-08-01T13:31:06.684834Z","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":"2026-08-01T13:31:06.813579Z","title":"Deift and X","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.813579Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:b383cec54bbe97535f0ce98868d20c4eba6322c634ccc0bf997105c69d6b2f04","observation_id":"9ea6c284-755f-4f0d-96eb-011eb71beb73","resolution":{"observed_at":"2026-08-01T13:31:06.813579Z","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":"2026-08-01T13:31:06.986593Z","title":"Demontis, G","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:06.986593Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:602f55e7e998967fcef70ecd8de6138d413f753036f9b2272b42bf9c4c387f77","observation_id":"2c1ed6c1-54da-44af-8b22-1ef9cf40c2e2","resolution":{"observed_at":"2026-08-01T13:31:06.986593Z","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":"2026-08-01T13:31:07.112228Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.112228Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:6bdec17f31772a8adfe2ef21b7f3477f2f3ca19c9c9386a61fbba00d7c64c3e3","observation_id":"703d7155-d605-4d14-a1bf-b156ff742525","resolution":{"observed_at":"2026-08-01T13:31:07.112228Z","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":"2026-08-01T13:31:07.244384Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.244384Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:ac5103f0b1f4c3701a1c715e9d3f70e8ff57127e4fb62df5303a8c7ff5379f6b","observation_id":"80746225-bf49-4dec-9ba3-49fcd0bd21ab","resolution":{"observed_at":"2026-08-01T13:31:07.244384Z","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":"2026-08-01T13:31:07.376588Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.376588Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:5e61cd032abfc02845bb4e4c330efa784b30afbdd91c35ae8ed5791197e61188","observation_id":"190aeef1-a358-4094-9ea8-29c012418e2b","resolution":{"observed_at":"2026-08-01T13:31:07.376588Z","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":"2026-08-01T13:31:07.487754Z","title":"Farkas, I","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.487754Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0144f360ff424a00bb471c5315b2e4fecd8d8aa99aaee45ef1b67d326e073641","observation_id":"dc8ebc80-eb72-4c35-a244-32b948431b05","resolution":{"observed_at":"2026-08-01T13:31:07.487754Z","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":"2026-08-01T13:31:07.613758Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.613758Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:fded6e37a377de9ee30e83828e2d8fef0e1cc45d3612d7cab02e1782f5bfa6e8","observation_id":"fa716b7c-c20c-4bf3-beb4-fef0b3f2e6f2","resolution":{"observed_at":"2026-08-01T13:31:07.613758Z","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":"2026-08-01T13:31:07.739733Z","title":"Fukumoto and T","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.739733Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:2d56a861ed63a575eb7cb4ba1f7d00a167f4f7dbf947219421219ec9df040296","observation_id":"785fc55c-ff90-442b-b4e4-fb746a9e4a86","resolution":{"observed_at":"2026-08-01T13:31:07.739733Z","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":"2026-08-01T13:31:07.838884Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.838884Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:5ba4751ba6716139474cc38ce6ac56fad900d6e6b942049f2f5ef59c473386a1","observation_id":"38c357b5-c54d-4ec6-b337-1e1144054c10","resolution":{"observed_at":"2026-08-01T13:31:07.838884Z","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":"2026-08-01T13:31:07.923520Z","title":"Gesztesy and H","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:07.923520Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:aaee4992a0921c1e00b1b92ae0f52a8212f88be5f2ea1af4b6772af289de9fb3","observation_id":"2888ac26-9a69-4acf-88dc-96c13f9f88b5","resolution":{"observed_at":"2026-08-01T13:31:07.923520Z","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":"2026-08-01T13:31:08.009618Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.009618Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:fc16045b2de16d9d56ed1c84c05dc499776e572c18f7ba1edc273f6916e7f64b","observation_id":"476c6b00-8a09-4568-9295-721b411b7d21","resolution":{"observed_at":"2026-08-01T13:31:08.009618Z","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":"2026-08-01T13:31:08.110779Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.110779Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:3391a580112d23c6d681407ced8159619197aafae6d24fec6d032e97299b88ab","observation_id":"90ac76c3-fe00-48af-8f3d-dc3903697406","resolution":{"observed_at":"2026-08-01T13:31:08.110779Z","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":"2026-08-01T13:31:08.201486Z","title":"Hasegawa and Y","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.201486Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:2b960da86a9118a10567182fef36c073eb091c0218478ba3e4ad971a059d7fe0","observation_id":"f26ab471-0faf-40d0-b234-bd982ea31362","resolution":{"observed_at":"2026-08-01T13:31:08.201486Z","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":"2026-08-01T13:31:08.275579Z","title":"Hasimoto, A soliton on a vortex filament, J","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.275579Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:76b84d52814108b715d93be6fba5522f2d6d3962eafcab126ca1d3a7e3767365","observation_id":"02e10a6b-885f-42be-ae32-ad0fe633f128","resolution":{"observed_at":"2026-08-01T13:31:08.275579Z","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":"2026-08-01T13:31:08.377295Z","title":"Hirota, Exact envelope-soliton solutions of a nonli near wave equation, J","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.377295Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:677a52ad24380f64e902260ed2de804d3b5bcd26a0408da909f4944085ae7c61","observation_id":"7f4c7c03-ba29-46bf-9f8a-af02413db258","resolution":{"observed_at":"2026-08-01T13:31:08.377295Z","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":"2026-08-01T13:31:08.468809Z","title":"Hirota, The Direct Method in Soliton Theory , Cambridge University Press, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.468809Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:a17cfc173b21a207613997205f5008cbb9b435da0a361d38d983ab656eba0505","observation_id":"eb0e713b-5e61-43f9-a649-2a30e5f31b21","resolution":{"observed_at":"2026-08-01T13:31:08.468809Z","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":"2026-08-01T13:31:08.546643Z","title":"Huang, J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.546643Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:3bc78ac84856d15f4a9dfc2071cbe02e52220eb06e16122e71455303991a6866","observation_id":"6fbdca73-8ad6-422a-bee0-f501eb1ad67b","resolution":{"observed_at":"2026-08-01T13:31:08.546643Z","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":"2026-08-01T13:31:08.633514Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.633514Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0f46c19fe811160f6b77d0249c982c98306f31b348589dca83fca45b71dc1ce5","observation_id":"e346a05a-3441-42cb-99e4-52b063193805","resolution":{"observed_at":"2026-08-01T13:31:08.633514Z","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":"2026-08-01T13:31:08.719104Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.719104Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:b139d6a8dad2eaf882ff8bb37cfc15652ce583fa7f72839514245ce213d7dca0","observation_id":"7ef977e9-89cf-420a-a064-ab66041998d0","resolution":{"observed_at":"2026-08-01T13:31:08.719104Z","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":"2026-08-01T13:31:08.886361Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.886361Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:81be3815658614e0ce1b83949cc0678ed8adbc89cc5b3cc3a929383e04bcbdad","observation_id":"21d1fede-2801-4bd1-965a-1b1307e08d80","resolution":{"observed_at":"2026-08-01T13:31:08.886361Z","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":"2026-08-01T13:31:08.946764Z","title":"Kamvissis, K","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:08.946764Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0f4480a6df826e1c155bd0aa4b274ea0738dd9a77848ea1342ec6fab39ceceb6","observation_id":"53ecfbe7-8689-4cb8-b406-c13037d4147d","resolution":{"observed_at":"2026-08-01T13:31:08.946764Z","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":"2026-08-01T13:31:09.042492Z","title":"Kamvissis and G","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.042492Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:5c6305c440751a77c46f226f839b85a727cbfdc522ed39e64fe21b1c279015da","observation_id":"847c65f5-c7fe-4a8d-bc25-2d030f1440db","resolution":{"observed_at":"2026-08-01T13:31:09.042492Z","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":"2026-08-01T13:31:09.099135Z","title":"Kano, Normal form of nonlinear Schrödinger equation , J","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.099135Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:13be1bbe2b25f730c46d45bc260419a43e6cecef2573ef1e058c3cdcbf5b6790","observation_id":"33ea43f3-aa64-4108-9514-1bd713db09b9","resolution":{"observed_at":"2026-08-01T13:31:09.099135Z","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":"2026-08-01T13:31:09.152735Z","title":"Kotlyarov and D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.152735Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0af8385be3a290b3dcd323646c955d8e48ed8331a0c0248df404c471183bb6e8","observation_id":"b7923a56-8c9b-4dad-906d-4617cea06a76","resolution":{"observed_at":"2026-08-01T13:31:09.152735Z","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":"2026-08-01T13:31:09.261439Z","title":"Lakshmanan, K","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.261439Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:89da8bb3cec3ba78e22093457d89f3373a27435d33d33744e364780564480add","observation_id":"dde57ae4-e76e-44cf-8f41-c4c2343e8c99","resolution":{"observed_at":"2026-08-01T13:31:09.261439Z","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":"2026-08-01T13:31:09.319675Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.319675Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:35cd83377978968012f222b18adae0d75cf777ffd3f3c9f35f644b8aee4b392d","observation_id":"eb552502-04a8-4bb0-9637-8e53e20c5f74","resolution":{"observed_at":"2026-08-01T13:31:09.319675Z","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":"2026-08-01T13:31:09.376810Z","title":"Mikikits-Leitner and G","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.376810Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:f8c2fd75d65a6bc2220ded8cbac50c3cdd1bff88de6a57cc638c5ba169ef85a4","observation_id":"f2f3260f-71d9-4f6f-9266-d5fef24cd56a","resolution":{"observed_at":"2026-08-01T13:31:09.376810Z","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":"2026-08-01T13:31:09.436892Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.436892Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:7bc59b6ead361ebd029556a997b9bea171a35649b83f5c0bb15003110f3c36e7","observation_id":"a2aabab9-fd3c-4fac-89e5-a99b3d179766","resolution":{"observed_at":"2026-08-01T13:31:09.436892Z","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":"2026-08-01T13:31:09.480410Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.480410Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:105655a5e324fed7e35625726fcc5c50b900092b9ae7215ce0c0d03aeaa49ac2","observation_id":"6a749cb6-a875-40b4-90c5-64f587516eea","resolution":{"observed_at":"2026-08-01T13:31:09.480410Z","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":"2026-08-01T13:31:09.534585Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.534585Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:cca92fe4b05df73f20ae0fd6ab8ce635b9e691378640bd7fac2c1f45e2284c8b","observation_id":"85fe729e-ff88-44f1-afbb-f784ba14af4a","resolution":{"observed_at":"2026-08-01T13:31:09.534585Z","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":"2026-08-01T13:31:09.604743Z","title":"Porsezian, M","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.604743Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:a64f8070e11f41715943946f554685e2dd64a1778c7dd61cdcdedd7d946238b6","observation_id":"1b866c23-374c-4f3d-a685-49740b99e7b0","resolution":{"observed_at":"2026-08-01T13:31:09.604743Z","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":"2026-08-01T13:31:09.676347Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.676347Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:8d3462ee973004eb4deb43997a2a4554507cce4dbb04a2119d53d66374b70a15","observation_id":"b88513fe-9b5c-4aee-a301-fbb0caabb154","resolution":{"observed_at":"2026-08-01T13:31:09.676347Z","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":"2026-08-01T13:31:09.705800Z","title":"W adati, The exact solution of the modified Korteweg-d e V ries equation, J","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.705800Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:ddc0a2018d0d913a4cb0f89ca5e46dd8e87e2d99a15498227d7185eb05b5f7e9","observation_id":"b8f11e09-0d1e-4e5d-878b-0f8ca2cc9e09","resolution":{"observed_at":"2026-08-01T13:31:09.705800Z","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":"2026-08-01T13:31:09.710353Z","title":"W eng, Z","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.710353Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:0dca5404c8db2ef63f185b97fb1b7beeb94ac7d4e68efb1c25c5f35b1b78de6f","observation_id":"bb3af11d-fb77-4af9-b95e-7d0ead59fb39","resolution":{"observed_at":"2026-08-01T13:31:09.710353Z","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":"2026-08-01T13:31:09.714218Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.714218Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:fac0f2ce8b18e12d81b815bfe40252b7412eb27b0a2d67234f8cabdc29e8e255","observation_id":"a7a69072-34ee-48da-b1a2-57b12bb09d6e","resolution":{"observed_at":"2026-08-01T13:31:09.714218Z","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":"2026-08-01T13:31:09.719217Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.719217Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:3fd394584cc1044244901652276882de331c0eb9f6492bd082ec067b52336793","observation_id":"c8878ac0-925a-49de-a170-5b288c2810c0","resolution":{"observed_at":"2026-08-01T13:31:09.719217Z","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":"2026-08-01T13:31:09.724859Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.724859Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:3ffbcf93473817233ca45ff1abfdba3272de20e3a41988b3f5f200f094b61c58","observation_id":"c55eb49c-2d72-4f47-afab-cd4fa5022d42","resolution":{"observed_at":"2026-08-01T13:31:09.724859Z","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":"2026-08-01T13:31:09.744739Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.744739Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:94633a26ead19ea1e607a4997367d44008c7dbbe9812b25f9077d6354bf9fc5b","observation_id":"1762200c-63a6-4d04-b8f9-de98c9acbca6","resolution":{"observed_at":"2026-08-01T13:31:09.744739Z","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":"2026-08-01T13:31:09.774739Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.774739Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:9ace1de802c497eb0e671960eef5384f3f94a7b92241b1a7d723b6b73b6cd981","observation_id":"1dfe341e-bd03-476e-aaf7-26497e39a7af","resolution":{"observed_at":"2026-08-01T13:31:09.774739Z","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":"2026-08-01T13:31:09.792650Z","title":"Zhang, S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.792650Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:16113c26f61d10639644bd3348324d7f207f4819682123697db316ee9d5ab3f4","observation_id":"c182e4d8-ffd8-4b06-88b1-bad9eb4e0388","resolution":{"observed_at":"2026-08-01T13:31:09.792650Z","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":"2026-08-01T13:31:09.797490Z","title":"Zhou, Direct and inverse scattering transforms with arbitrary spectral singularities, Commun","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-01T13:31:09.797490Z"},"links":{"citing_paper":"/paper/2607.19119"},"observation_digest":"sha256:fc088e2c89fcb0ab4979e59bd551334cd3aa1da43b740893b4ba3b6227d89edc","observation_id":"30b25300-65ef-462d-93d6-e3c611ed65f7","resolution":{"observed_at":"2026-08-01T13:31:09.797490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.19119","last_updated":"2026-07-21T14:05:58Z","latest_version":1,"primary_category":"nlin.SI","snapshot_observed_at":"2026-08-01T13:31:01.324831Z","submitted_at":"2026-07-21T14:05:58Z","title":"Long-time asymptotic behavior for the defocusing Hirota equation on a finite-genus algebro-geometric background"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":65,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":65},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2607.19119."}