{"as_of":"2026-08-09T23:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cde60d783ee87fcc95f3cf5d0b8dad5e92aadc1fae267b71313f57265917b386","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T11:02:02.800187Z","state":"measured"},{"denominator":50,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":50,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2601.08001/citation-record","integrity":"/paper/2601.08001/integrity","json":"/paper/2601.08001/citation-record.json","paper":"/paper/2601.08001"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T11:02:02.702263Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.702263Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:053a3c7f8c895190f5d8e744cdd90f3a015c4121bbbd5edf767df8ef048341af","observation_id":"19b24a14-3654-4a63-8bcc-0e9b2853bd20","resolution":{"observed_at":"2026-08-03T11:02:02.702263Z","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":"2026-08-03T11:02:02.705098Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.705098Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:7572aaee8f5a1f9a4bc029cad45f373086bea217e8c7f43bafa880da39af4585","observation_id":"cf467c9a-2b52-49e7-8584-8bfa703b9725","resolution":{"observed_at":"2026-08-03T11:02:02.705098Z","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":"2026-08-03T11:02:02.707309Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.707309Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:7584f813faa735d958fe95e6d776d995ec80ff91a9c4d923a46d70d6e287b617","observation_id":"e6d1b3d0-99fd-4d3c-a26e-b03587d31e5c","resolution":{"observed_at":"2026-08-03T11:02:02.707309Z","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":"2026-08-03T11:02:02.709447Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.709447Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:383b358c4af49b8c2cc39f74904289fc28a679b7563bf2ee1e3f295b79d79365","observation_id":"cfeffcff-2fc8-4cd6-95ff-ed09e495f935","resolution":{"observed_at":"2026-08-03T11:02:02.709447Z","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":"2026-08-03T11:02:02.711772Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.711772Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:094c213221c161ec44abb69386f07575660675f705de01e370fc8cb0faede686","observation_id":"3daff5b4-89f7-48ca-bc05-8fa0d6f88e12","resolution":{"observed_at":"2026-08-03T11:02:02.711772Z","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":"2026-08-03T11:02:02.713852Z","title":null,"venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.713852Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:7d7f4386c5e7246a99501c2f0d3cc2bf551d24a5c670fe57ca3e44c96a320695","observation_id":"37ff11d7-f4f1-4cb2-a9c3-f4c7093b2869","resolution":{"observed_at":"2026-08-03T11:02:02.713852Z","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":"2026-08-03T11:02:02.716127Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.716127Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:53d4a4cff969fcb5138659c94dd3a7b2bd5266b5822e90258b1e81f283af42d6","observation_id":"47168e3b-1237-4232-ba22-33876ccb750b","resolution":{"observed_at":"2026-08-03T11:02:02.716127Z","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":"2026-08-03T11:02:02.717957Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.717957Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:78cf41618778c81e8eb431a2a44ad6cad0299a290de4b9a2d1ac927f09ea26c1","observation_id":"d71580c3-69a4-4b1a-a717-8451a0b39665","resolution":{"observed_at":"2026-08-03T11:02:02.717957Z","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":"2026-08-03T11:02:02.719865Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.719865Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:4e94c990159cfa2b8408fd095316ea1dd6ac512b09b8be75aa609ba3efbf629e","observation_id":"86a2184e-21c3-4bb2-8f17-91ae36367500","resolution":{"observed_at":"2026-08-03T11:02:02.719865Z","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":"2026-08-03T11:02:02.721704Z","title":"The ocular surface16(1), 4–30 (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.721704Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:c965eb75b4d644a165a3dfd1a677df77f0a530878df31fd83f5911e267d39d13","observation_id":"7792719c-4f20-4e74-8a87-18d198a8a9bf","resolution":{"observed_at":"2026-08-03T11:02:02.721704Z","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":"2026-08-03T11:02:02.723663Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.723663Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:eb91ce4e555af935d85b5ac98408c556d353933cebe59fd855221aa996452abd","observation_id":"a3a3f5d6-8601-4854-9b52-fd52b3621c90","resolution":{"observed_at":"2026-08-03T11:02:02.723663Z","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":"2026-08-03T11:02:02.725480Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.725480Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:6deafa9c29162b0793fa7621d6d83cc5f3d54d57eb35dc9bc6f68a62ae40f1d7","observation_id":"8796652e-b8b3-4024-953f-1e59461ed077","resolution":{"observed_at":"2026-08-03T11:02:02.725480Z","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":"2026-08-03T11:02:02.727434Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.727434Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:bc63659663d113a2a8f06452a3ce42e1c362dbaf58d9ea833e0af2298375f981","observation_id":"ad76eeff-e183-4c2b-840b-b3ee1b1c64f2","resolution":{"observed_at":"2026-08-03T11:02:02.727434Z","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":"2026-08-03T11:02:02.729484Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.729484Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:8e6c7686303aacdd9be1fef91b97d84cc9d654f2edf3211a5f3f2e4261a9a7dd","observation_id":"bc610e51-16b6-4e66-ab3c-5e09ffa035eb","resolution":{"observed_at":"2026-08-03T11:02:02.729484Z","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":"2026-08-03T11:02:02.731450Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.731450Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:c2878f8788f4b03369ea871fd01a28fdbaff8d757ec2bafd9fd12eff42ed1b8d","observation_id":"0ee1cb00-df42-442a-a17e-019d32d39577","resolution":{"observed_at":"2026-08-03T11:02:02.731450Z","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":"2026-08-03T11:02:02.733495Z","title":"Acta Ophthalmol.48(1), 108–118 (1970) 18","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.733495Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:367b8f540c2845a467dc913fa2349e64b6979b6ae964d526c82e99f90b9b904c","observation_id":"168303f7-34c4-4448-84b5-72581601de5e","resolution":{"observed_at":"2026-08-03T11:02:02.733495Z","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":"2026-08-03T11:02:02.735335Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.735335Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:31a94eff2fc65a58a07b53e0b933f1220dcb3dc3f57c90f6d363edd59e57197a","observation_id":"91159f3a-9b8c-4a3e-9dfc-a5196b20212e","resolution":{"observed_at":"2026-08-03T11:02:02.735335Z","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":"2026-08-03T11:02:02.737167Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.737167Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:30e7d807a57e554790ec572fe36fe6a39066b9ce636caebfce728f331bdddd13","observation_id":"7aafdff2-3d8f-4f86-90cf-d6c55c744ba4","resolution":{"observed_at":"2026-08-03T11:02:02.737167Z","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":"2026-08-03T11:02:02.738893Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.738893Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:b15c5485779f9b8e0ab26c8a0dc2d9383a49ed39837ac6949189af53f565c968","observation_id":"f7a73258-27ef-4278-a33e-38a0c6979b49","resolution":{"observed_at":"2026-08-03T11:02:02.738893Z","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":"2026-08-03T11:02:02.740939Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.740939Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:784b56c2ad1eb3975f3ef781efebb03694e286fdf5461c6eaa80f25e50b9e2c7","observation_id":"b77c1cce-44f6-4de9-94d0-f9adfb767623","resolution":{"observed_at":"2026-08-03T11:02:02.740939Z","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":"2026-08-03T11:02:02.743130Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.743130Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:a6edff0766ffda43c68fa4dd3b711c7735353d0529c372b18f899520008d0550","observation_id":"a11a3eb6-bb96-44cd-9c9b-b6b4d1627849","resolution":{"observed_at":"2026-08-03T11:02:02.743130Z","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":"2026-08-03T11:02:02.745015Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.745015Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:cbc44e0422726a99023632a60d597dd6982cdcc3c71dbe35649d93256409f5fd","observation_id":"f27291db-6926-4743-b35c-a749c0e209e1","resolution":{"observed_at":"2026-08-03T11:02:02.745015Z","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":"2026-08-03T11:02:02.746931Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.746931Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:fa13a28c1ea5265cf893ccd099c8f72bf453c5838337c9d6b16a81ba91583f3a","observation_id":"d7c7c68c-8839-43bb-9356-359cdcd83575","resolution":{"observed_at":"2026-08-03T11:02:02.746931Z","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":"2026-08-03T11:02:02.748761Z","title":"Physica D: Nonlinear Phenomena342, 1–15 (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.748761Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:5b1970d049a8fc25825cb2696baab72225ed7cb2bb351f16630d91cbef50b526","observation_id":"b57f1ca6-b63f-470c-8d23-c37307840e26","resolution":{"observed_at":"2026-08-03T11:02:02.748761Z","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":"2026-08-03T11:02:02.750564Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.750564Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:22c1d5b0b092a3e8e0f2e44201f6006fcdc58fbbe53bc83ef340acdb16d012d9","observation_id":"43f09ce8-f382-447f-ae85-1fdeda7f5b92","resolution":{"observed_at":"2026-08-03T11:02:02.750564Z","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":"2026-08-03T11:02:02.752567Z","title":"Journal of Engineering Mathematics149(1), 5 (2024) https://doi.org/10.1007/s10665-024-10407-6","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.752567Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:df1a33199a3a1e576b3148bef9b111372b1ba9cd10dbb06f80de077c41db5edf","observation_id":"efe55966-295c-4be6-b7ee-095a0de5352e","resolution":{"observed_at":"2026-08-03T11:02:02.752567Z","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":"2026-08-03T11:02:02.754619Z","title":"in preparation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.754619Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:a4ba277de1927b30dca730ccebce7e92fabb8d2942fbe38bcf473477a2b14ec4","observation_id":"939f5a3e-01c7-4ea3-9123-0cb5a88cfae1","resolution":{"observed_at":"2026-08-03T11:02:02.754619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.11798","last_updated":"2024-09-26T21:25:48Z","snapshot_observed_at":"2026-07-06T16:49:58.524003Z","submitted_at":"2023-11-20T14:31:18Z","title":"Neural Dynamical Operator: Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods","version":4},"cited_work":{"arxiv_id":"2311.11798","doi":"10.48550/arxiv.2311.11798","metadata_source":"pith","pith_arxiv_id":"2311.11798","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Neural Dynamical Operator: Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods","venue":"cs.LG","work_id":"68f6f8b8-13dc-45a3-b0c9-a706978feb4a","year":2023},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.756811Z"},"links":{"cited_paper":"/paper/2311.11798","citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:9502cac414c08d73b792c664a2b4747e060b237dc8c7a23a6cf9789e2a9bb997","observation_id":"ad142cb9-71f7-49ab-acdc-7b809e8ade44","resolution":{"observed_at":"2026-08-03T11:04:03.482257Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T11:02:02.759513Z","title":"Elsevier (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.759513Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:bbcd658a496cb7894a975208f701d2bc00589e12dd43931f4bbd2ba9a5dae686","observation_id":"c0c553fb-1852-4ec7-be6b-3def4911c611","resolution":{"observed_at":"2026-08-03T11:02:02.759513Z","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":"2026-08-03T11:02:02.761391Z","title":"In: Advances in Neural Information Processing Systems, vol","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.761391Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:bbdd3b35e9e36c30bca129e7c5ab892f4adc49f180a32e3319ee6440d13b2ad7","observation_id":"d95965e6-3d35-473f-9060-dd8ba8172e4f","resolution":{"observed_at":"2026-08-03T11:02:02.761391Z","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":"2026-08-03T11:02:02.763332Z","title":"Journal of Machine Learning Research24(318), 1–67 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.763332Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:70c17cb43eda2a30fd8c204a5de3b0abc1e6b7887358fa354dc10905ac226aed","observation_id":"be83eaed-946a-4c38-ba09-66d777d1c31b","resolution":{"observed_at":"2026-08-03T11:02:02.763332Z","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":"2026-08-03T11:02:02.765183Z","title":"Internat","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.765183Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:05b85e8a73a372e542a20e0ff5e00320a7517bf7267fa8dff2476398e5125fb2","observation_id":"c64274da-3555-4c4b-a82c-a5be51e1eb45","resolution":{"observed_at":"2026-08-03T11:02:02.765183Z","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":"2026-08-03T11:02:02.767084Z","title":"Current Eye Research19(1), 4–11 (1999)","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.767084Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:b59deb70c5c7f68c6b8c3ce3acb14f57d211261cb56787bf0ec5fa722cc5f8fc","observation_id":"2b5e5263-7e3f-4996-a89a-d102b6fb235a","resolution":{"observed_at":"2026-08-03T11:02:02.767084Z","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":"2026-08-03T11:02:02.768876Z","title":"Journal of Colloid and Interface Science240(1), 259–271 (2001) https://doi.org/ 10.1006/jcis.2001.7562","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.768876Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:eee046d86e229849e18073dc249704911f21089d8d3ecc5086e9b584d022dc90","observation_id":"8933fa9e-1e83-4f8f-97c0-5454ff728cf7","resolution":{"observed_at":"2026-08-03T11:02:02.768876Z","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":"2026-08-03T11:02:02.770622Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.770622Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:1ee798090cdc68cbfd3bbfb0af1c0d25ccd5c325fff2e47149091af919904aac","observation_id":"6ea79acc-407e-44e0-bd6d-52c537895ec6","resolution":{"observed_at":"2026-08-03T11:02:02.770622Z","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":"2026-08-03T11:02:02.772525Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.772525Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:4b7671ce3070cfbf433cb537a6afc9c0195e24d1b067ca18833fc61afa97a570","observation_id":"064bd6b6-7179-4544-aebd-fb2debbe9b51","resolution":{"observed_at":"2026-08-03T11:02:02.772525Z","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":"2026-08-03T11:02:02.774467Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.774467Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:aceb572e384743c99be4b395c47daafb590d80744f0172e1679b6773b217750b","observation_id":"b7b4bad6-fda9-4727-a8d7-bf31c95edaf9","resolution":{"observed_at":"2026-08-03T11:02:02.774467Z","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":"2026-08-03T11:02:02.776333Z","title":"Determination of molar absorption coefficient","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.776333Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:21deb6e41bf0ddf64fe442175f6244a99725fa546343fa8aabc14f3db1d169d0","observation_id":"bca63ee7-f242-4f62-9e97-97331c8826c0","resolution":{"observed_at":"2026-08-03T11:02:02.776333Z","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":"2026-08-03T11:02:02.778207Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.778207Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:0175e081de85840a57c2b82b269decdf7be9a526585d2ce1728dc76e27eea4f2","observation_id":"2ac9526d-0da7-4296-b8f9-3ea289f2fd4a","resolution":{"observed_at":"2026-08-03T11:02:02.778207Z","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":"2026-08-03T11:02:02.780008Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.780008Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:8fd0e494311f87d834108d71f33e200e2f771e368b091caf1e56ebab559d73e8","observation_id":"f45a043c-cfb0-4302-8661-a3614ca4c716","resolution":{"observed_at":"2026-08-03T11:02:02.780008Z","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":"2026-08-03T11:02:02.781988Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.781988Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:93e63fef935b7c0815a564b045867062f90a6dadbcc25a12d122f97aa5248f41","observation_id":"62fe3de4-5b0b-4270-a43f-5515b88623b2","resolution":{"observed_at":"2026-08-03T11:02:02.781988Z","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":"2026-08-03T11:02:02.783922Z","title":"Software, Environments, Tools","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.783922Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:e11202797d12ca6d8968d67332fbbcd85db216003cdf8c874d4230f6c246921e","observation_id":"d8478bd7-fa33-4d4a-a951-80f0a97295a5","resolution":{"observed_at":"2026-08-03T11:02:02.783922Z","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":"2026-08-03T11:02:02.785652Z","title":"Journal of Open Research Software5(1), 15 (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.785652Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:23182af18744b530f06d6ac40d1cd7d314457d4dadf1f4bcbc3295b1116d9ec1","observation_id":"c43941c6-7373-4e96-a8f4-cde03e0c30c4","resolution":{"observed_at":"2026-08-03T11:02:02.785652Z","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":"2026-08-03T11:02:02.787472Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.787472Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:4355f98aaa0eb0b3f37a941a651cf2d33585a78f2ee7cc03dd153a08e5cd24ae","observation_id":"78f1ebe5-5fd9-4727-8dd0-5079a6e0095e","resolution":{"observed_at":"2026-08-03T11:02:02.787472Z","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":"2026-08-03T11:02:02.789399Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.789399Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:c8691816269ae8a7d80a69cc648b91da40add2d660ad97359e24cc4ab5d01913","observation_id":"e5a34e61-580c-4765-a0cc-c26a56c4a09c","resolution":{"observed_at":"2026-08-03T11:02:02.789399Z","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":"2026-08-03T11:02:02.791336Z","title":"Journal of Scientific Computing92(3), 88 (2022) https: //doi.org/10.1007/s10915-022-01939-z","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.791336Z"},"links":{"citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:8e7f8681bdd2fa9f7bce84a384b5a7b82f4676c88b4142691b9c2a52374cef06","observation_id":"8334bfd8-85d3-45e0-98e6-1ee34a470101","resolution":{"observed_at":"2026-08-03T11:02:02.791336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.03794","last_updated":"2023-07-29T07:58:37Z","snapshot_observed_at":"2026-07-06T12:05:59.258427Z","submitted_at":"2021-11-06T03:41:34Z","title":"Physics-Informed Neural Operator for Learning Partial Differential Equations","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.03794","snapshot_observed_at":"2026-08-03T11:02:02.793273Z","title":"arXiv (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.793273Z"},"links":{"cited_paper":"/paper/2111.03794","citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:ff888ae099a6d321a456e3040816a2c04fd8841bdebccd4f536092bd28c0dbbe","observation_id":"263ee996-8c98-48bf-a60e-4dba9c116a64","resolution":{"observed_at":"2026-08-03T11:02:02.793273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.07366","last_updated":"2019-12-14T02:01:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-06-19T17:50:12Z","title":"Neural Ordinary Differential Equations","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.07366","snapshot_observed_at":"2026-08-03T11:02:02.795563Z","title":"arXiv (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.795563Z"},"links":{"cited_paper":"/paper/1806.07366","citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:d2513793d46c20513ba19a27be47faee782fea7d19f7c20a70130af97602b849","observation_id":"857bce51-7a3e-4552-861c-b6c2154c4fe9","resolution":{"observed_at":"2026-08-03T11:02:02.795563Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.02435","last_updated":"2022-02-04T23:32:29Z","snapshot_observed_at":"2026-08-09T19:02:16.039793Z","submitted_at":"2022-02-04T23:32:29Z","title":"On Neural Differential Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.02435","snapshot_observed_at":"2026-08-03T11:02:02.797855Z","title":"arXiv (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.797855Z"},"links":{"cited_paper":"/paper/2202.02435","citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:92bb933dcbb40bab2ad83b325f0228f3ac8ae720df007de228803562dfb1d059","observation_id":"ba33199c-4e8b-4733-8141-1525a3bd41a9","resolution":{"observed_at":"2026-08-03T11:02:02.797855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.04385","last_updated":"2021-11-02T12:06:44Z","snapshot_observed_at":"2026-08-08T03:57:24.280922Z","submitted_at":"2020-01-13T16:40:35Z","title":"Universal Differential Equations for Scientific Machine Learning","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.04385","snapshot_observed_at":"2026-08-03T11:02:02.800187Z","title":"arXiv:2001.04385 [cs, math, q-bio, stat] (2020) arxiv:2001.04385 [cs, math, q-bio, stat] 21","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T11:02:02.800187Z"},"links":{"cited_paper":"/paper/2001.04385","citing_paper":"/paper/2601.08001"},"observation_digest":"sha256:6dd3d90349dc00a7ff41f8862bba1d13ac7abece46490575b28604359a8496c2","observation_id":"c534ff92-853a-482f-83e8-005a0751b288","resolution":{"observed_at":"2026-08-03T11:02:02.800187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2601.08001","last_updated":"2026-07-27T15:08:18Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-09T19:02:42.500167Z","submitted_at":"2026-01-12T21:09:04Z","title":"Operator learning for models of tear film breakup"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":49,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":50},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2601.08001."}