{"as_of":"2026-08-16T23:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8c775508d8967bbcf5a5f89cd77248e369f911cc96eb48e4f8510049d9f24212","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":"2026-08-16T10:35:51.782446Z","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":"2026-08-16T06:30:59.297886+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/2504.17900/citation-record","integrity":"/paper/2504.17900/integrity","json":"/paper/2504.17900/citation-record.json","paper":"/paper/2504.17900"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.589084Z","title":"A monte carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts","venue":null,"work_id":"a1eed2ae-2b39-4fd2-9acb-9add1e6285d3","year":1999},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.540954Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:aab7b34ca42f06d1da64a40ad7f57954c7b8e17bb31a73877148fcc3bd898c31","observation_id":"2b3f7986-540b-4af2-b7e7-e65fbbf16a40","resolution":{"observed_at":"2026-08-16T10:35:52.594651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.574497Z","title":"Parameter estimation and inverse problems","venue":null,"work_id":"f80483dc-5066-413f-9033-bd7a5300a2a9","year":2018},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.546410Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:84f9d882cb5fe9a7d7f54c1931ede3d8397e682f39ff8bd220c58badb825c543","observation_id":"ca460835-4815-4ecf-ac19-5ce280cb82cc","resolution":{"observed_at":"2026-08-16T10:35:52.579168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.559375Z","title":"A review of operational methods of variational and ensemble-variational 26 S","venue":null,"work_id":"9acea9df-3f7a-42fb-a35c-215b329f30e5","year":2017},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.552333Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:331bf6511abcb7c6310a1b1251b0aa516b9146ddb5e37db2452063ab61d26428","observation_id":"92ddedc3-b8ca-4481-a67a-2c7d363c27da","resolution":{"observed_at":"2026-08-16T10:35:52.564197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.543454Z","title":"Aerosol analysis and forecast in the european centre for medium- range weather forecasts integrated forecast system: 2","venue":null,"work_id":"17ccc2d0-7ef3-43c0-9773-92a2c7fd1cd1","year":2009},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.557394Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:3f8cbe7e6e757a2d6326671277d3c6eb0ba859142ebfda6e59ed65e49bbde932","observation_id":"704b022a-680b-4e8e-8a20-e98b17340ac9","resolution":{"observed_at":"2026-08-16T10:35:52.548621Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.526474Z","title":"Inverse methods in physical oceanography","venue":null,"work_id":"35a084b4-1ee6-4aaf-9a6c-53f04170e522","year":1992},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.562593Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:ce1b4dd589bf8175c8579bc3799d6c5b348cf692a85cadbc01810345d151b5ef","observation_id":"fe5937ff-4827-4da3-8e03-422159f35e8d","resolution":{"observed_at":"2026-08-16T10:35:52.531846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.567487Z","title":"Inverse modeling of the ocean and atmosphere","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.567487Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:81536313999ecd32486d22fb6fc2cffdf253c9cdb49c75c2ee255b730dd0cca6","observation_id":"d1314467-25b9-46b1-8f12-eeadb065284b","resolution":{"observed_at":"2026-08-16T10:35:51.567487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.499124Z","title":"Generalized inversion of a global numerical weather prediction model","venue":null,"work_id":"4b4fd375-cd9e-4d26-b983-ca8e4577218c","year":1996},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.572754Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:101162f543b6a4b7880801733251b7d142fc068f30c7e428482b89b28f2e4f75","observation_id":"f9b9bfaf-5d4d-4ed5-88fe-dc3fcb4d5d01","resolution":{"observed_at":"2026-08-16T10:35:52.504483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.482463Z","title":"Multi- parameter regularization techniques for ill-conditioned linear systems","venue":null,"work_id":"9323779b-0256-4df5-b52f-50fd9372f6f9","year":2003},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.577078Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:5146299b080422476e81501e8f689dfd23223071ef0ee055dfcdf04f4f5b082c","observation_id":"ec870869-11b6-4db5-a62c-94e1837e686f","resolution":{"observed_at":"2026-08-16T10:35:52.487506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.581481Z","title":"Data assimilation in the geosciences: An overview of methods, issues, and perspectives","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.581481Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:5de71e33d42f58ea934840e7b44871a735d941c883faa8dd0015b00e56d4ef48","observation_id":"a279e587-49f4-4ccd-97f0-b39546176dbd","resolution":{"observed_at":"2026-08-16T10:35:51.581481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.455007Z","title":"A strategy for operational implementation of 4d-var, using an incremental approach","venue":null,"work_id":"c05dc617-c3d3-4082-a313-8684ff6850b0","year":1994},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.585976Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:4737121ee69099a4c5e4eb9b364ead6f2ae78c459fbeb17ad29807121e2e3887","observation_id":"f4bb22db-3632-42b2-9ec7-3a64bc3540ad","resolution":{"observed_at":"2026-08-16T10:35:52.460249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.438162Z","title":"Topex/poseidon tides estimated using a global invese model","venue":null,"work_id":"7d858ecb-d3a3-4807-97eb-10b4a9a433f2","year":1994},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.590694Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:4611cd0ac9838c4b93802c3b14b0326f5e321f9be7b72d3b9a35c9ad274b8999","observation_id":"12d58b95-a9a9-46d8-8f24-b36c84cbaf53","resolution":{"observed_at":"2026-08-16T10:35:52.443627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.419424Z","title":"Using the l–curve for determining optimal regularization parameters","venue":null,"work_id":"6a1d6ab4-aced-4be3-befd-9e7b9a29bc7a","year":1994},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.595558Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:1b95a9f41c2b6df2e7866e1731e9a30b9d944cdf82a4b6723603c32d36f5bef2","observation_id":"0fc9b9c8-01ad-44c9-a132-638f1a84fad5","resolution":{"observed_at":"2026-08-16T10:35:52.425790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.402043Z","title":"Inverse methods and data assimilation in nonlinear ocean models","venue":null,"work_id":"86c75cc6-abf1-4055-8239-cd6674ba8556","year":1994},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.600439Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:8ca1388810fc382a1da770982eca82373311933fdbc051b399715be86475dbf1","observation_id":"e5886125-8f67-4c1a-a284-b8f0ef8c73d4","resolution":{"observed_at":"2026-08-16T10:35:52.408022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.382620Z","title":"Sequential data assimilation with a nonlinear quasi-geostrophic model using monte carlo methods to forecast error statistics","venue":null,"work_id":"ed22a1eb-934c-460d-a150-5acc933d04c2","year":1994},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.606081Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:457f268c936b461dfaba507e9d27b4a491c02d1d53bff10a24fcd93403a22e26","observation_id":"e3308a29-da5a-4b1a-9ee7-eafe04fbb21d","resolution":{"observed_at":"2026-08-16T10:35:52.389793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.365317Z","title":"Rank issues","venue":null,"work_id":"0d710a28-b1bd-43a3-ba6a-061f5cc99986","year":2009},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.610798Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:f1d89a254bed6fa35046cfc495b5a1db2d846095f1447687243539c472a1b522","observation_id":"010d0b0e-b24b-4c93-a7b0-8267620cad38","resolution":{"observed_at":"2026-08-16T10:35:52.369941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.350041Z","title":"Weak-constraint and long-window 4d-var","venue":null,"work_id":"271140f4-1ed4-4ff3-a0b1-ca0af3ad5d7b","year":2011},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.615459Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:a05971a197e573dc97f635d2c9e70d9c217dd0ee1a3e3b79c14773e92e8d290b","observation_id":"395401a9-45a9-42a4-9e26-f241b8eac0bf","resolution":{"observed_at":"2026-08-16T10:35:52.354893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.620457Z","title":"Tikhonov regularization and total least squares","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.620457Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:64f3cc4c5afda73bcf8b0fb4794efb9a9dfddd35d181446a112dddd3598ed25d","observation_id":"8b8d186e-a7aa-4099-a86b-0a276e093737","resolution":{"observed_at":"2026-08-16T10:35:51.620457Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.324402Z","title":"Generalized cross-validation as a method for choosing a good ridge parameter","venue":null,"work_id":"6d0f8e7c-f6a2-4aec-a357-fe24d6dd45bb","year":1979},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.626176Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:0ce993323b02c343ea6b8f08b7c5e50d6fb5c0ab5e6e7ea417d2eab1e5024b74","observation_id":"faa90086-3063-441e-9638-eda70899dd23","resolution":{"observed_at":"2026-08-16T10:35:52.329172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.308795Z","title":"Novel approach to nonlinear/non- gaussian bayesian state estimation","venue":null,"work_id":"4ec7f4b3-bfc8-477e-989a-c25f6512d0d5","year":1993},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.630770Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:4af37526559a152808ccd260627d877c005caee85886bb5d0487278ea5b8e648","observation_id":"ef375dc1-8735-4d0f-aa21-c53cc438e9a7","resolution":{"observed_at":"2026-08-16T10:35:52.313790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.291086Z","title":"The l-curve and its use in the numerical treatment of inverse problems","venue":null,"work_id":"3fd64a84-38a7-4aa5-ab84-fade437630d4","year":1999},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.635878Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:7aeeb3344090a87da59c6782e27334a3cfcb1e04308a5df1541b75cdf089f2c9","observation_id":"c3732d76-1609-43ba-9c96-51c92cdc799c","resolution":{"observed_at":"2026-08-16T10:35:52.296850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.640840Z","title":"The elements of statistical learning, 2009","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.640840Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:249b2c7506bb9dfe81c378baa7176f6be103619dcd37bf564184c45a34fd7501","observation_id":"eacdd515-a87c-4c63-a533-ca792fc33bf2","resolution":{"observed_at":"2026-08-16T10:35:51.640840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.265482Z","title":"Data assimilation for numerical smoke prediction","venue":null,"work_id":"42b3fc9b-b338-491e-97ac-8ac68eb050da","year":2023},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.646550Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:22021cba786308c32b7d3e1cd34ce8a516fd20120d19dcc8f85d6f089fa8d906","observation_id":"4c0741ec-2d70-4e8a-bfa5-33ba2971606f","resolution":{"observed_at":"2026-08-16T10:35:52.270825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.248410Z","title":"Selecting the corner in the l-curve approach to tikhonov regularization","venue":null,"work_id":"386a568a-4bfd-46bd-8c3a-42c000079bad","year":2000},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.652033Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:0ebabee37a9f41f6f713765f3564cc7d39b8b69e13ea184d6184094f91a737fa","observation_id":"ff1e6586-b0c5-414f-952d-e50d3918c575","resolution":{"observed_at":"2026-08-16T10:35:52.253991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.657726Z","title":"A new approach to linear filtering and prediction problems","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.657726Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:307d6df4bc9d1cc8ddb9a6b4504c46b58770b2d3f85d375bf7099cae1c542248","observation_id":"7f3e497e-6516-4c52-b66e-01d8c49072ee","resolution":{"observed_at":"2026-08-16T10:35:51.657726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.220826Z","title":"Atmospheric modeling, data assimilation and predictability","venue":null,"work_id":"7760bff2-6560-45ce-8956-272c5c0507c7","year":2003},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.662130Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:b3141c892085000454405de8f68a1eb4c82efe12ec6cf5263e6ade3a73860e38","observation_id":"963d287e-5d3f-476f-9444-3984d75abe7a","resolution":{"observed_at":"2026-08-16T10:35:52.226958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.203743Z","title":"Variational algorithms for analysis and assim- ilation of meteorological observations: theoretical aspects","venue":null,"work_id":"b8479fab-0599-4c83-a4b3-f27db01d469a","year":1986},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.666870Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:a6d4ee2d36627173d6c1de1ab9a6c2decf5dc242de58b1ffe35efee1b8bda683","observation_id":"86b9f7e7-8fcc-40dd-a5dc-b07f82975b07","resolution":{"observed_at":"2026-08-16T10:35:52.210110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.671330Z","title":"Finite volume methods for hyperbolic problems , volume 31","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.671330Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:444496bfd0b1199fe352a498bd38aa9ea26d1834d54cd75d6059d7d4854cda34","observation_id":"5ec9c997-8482-4a4e-abe1-cccc12db4f83","resolution":{"observed_at":"2026-08-16T10:35:51.671330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.177587Z","title":"From stein’s unbiased risk estimates to the method of generalized cross validation","venue":null,"work_id":"6185a39d-8cd1-429c-9f23-260ff941cc67","year":1985},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.676318Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:d00bb7ac16088f6de1e3cba2f2e5f3bdfc61d2e6ae67c4b554b9c3e12fc5422d","observation_id":"c85bb35e-fa57-4266-91cf-0b35bdaac1ff","resolution":{"observed_at":"2026-08-16T10:35:52.182435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.162498Z","title":null,"venue":null,"work_id":"f6703a1a-e4c2-4e9d-9f8d-4e81acfabbe5","year":2000},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.680740Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:61f4da5977200534713b70360ff39e89cde5d4ad8ed6f4cc8010f5cfea66002b","observation_id":"0d111911-4981-451c-887e-b519c1371591","resolution":{"observed_at":"2026-08-16T10:35:52.167454Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.146411Z","title":null,"venue":null,"work_id":"c30e4716-4a6d-4377-b184-33fa7f31b47f","year":2008},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.685462Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:12db9a3fb0b1af250e79e6b7dd6133482bf131e7a6b72e21c9e200ef8734efa8","observation_id":"c1df0bd5-be3e-4b22-9fe1-e79b13186b80","resolution":{"observed_at":"2026-08-16T10:35:52.151666Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.127639Z","title":null,"venue":null,"work_id":"f07d4b16-fc7d-46dd-9944-684d36280a27","year":2020},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.690262Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:d75b66ecf957525879ea2a60137b2aa0e210cc89de58d89f9dbd4c2672a29277","observation_id":"f6b646e0-3e5d-4649-9625-910cebdb6574","resolution":{"observed_at":"2026-08-16T10:35:52.133158Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.111790Z","title":"Mead and C.C","venue":null,"work_id":"26fef156-c590-4985-b0cb-319caee55771","year":2013},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.695098Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:9a6032edc2d11dbff166ae81c3b31bd5455806489a51e2bd695706c4fee754d8","observation_id":"49d26c80-6c63-45db-b9be-09c9f31c6cf2","resolution":{"observed_at":"2026-08-16T10:35:52.116668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.093919Z","title":"Discontinuous parameter estimates with least squares estimators","venue":null,"work_id":"2e225331-0197-452d-8c71-d0ee3c24444f","year":2013},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.700069Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:574ece59e222cc670ded24e744a27965df9290b3a7c037682efb5712c9154c53","observation_id":"410341c1-8533-4b1f-a5b2-cbe6ca599c7f","resolution":{"observed_at":"2026-08-16T10:35:52.099532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.076818Z","title":"Efficient implementation of covariance multiplication for data assimilation with the representer method","venue":null,"work_id":"6f45f021-0550-4e55-97c7-0c49805f44f4","year":2005},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.705982Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:7749d5e5e9e4829a0c3f2fee89061176085dbacbeef5bacd3dcd1597cead23ff","observation_id":"3247b4ad-6dfb-47f2-9225-583bf9417976","resolution":{"observed_at":"2026-08-16T10:35:52.082052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.061441Z","title":"Nonlinear conditional model bias estimation for data assimilation","venue":null,"work_id":"02bf3e6c-0a81-4280-bbbe-482e34611ebc","year":2021},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.710594Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:917895c9a9d9a0839689a84f7947e920c5025f59cf1163151e56ffaded0b853d","observation_id":"80cfa2b1-8453-40dc-bc0a-843d91bc92ba","resolution":{"observed_at":"2026-08-16T10:35:52.066353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.045098Z","title":"Data assimilation with the weighted ensemble kalman filter","venue":null,"work_id":"cb3ddf70-bbca-4c0a-853d-40298904132a","year":2010},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.715645Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:6740d2501cb054cd663a9ae0a90b3b9b7ac3fe97444108400f60884747d46832","observation_id":"c32f0651-f933-4004-94d6-da912e347934","resolution":{"observed_at":"2026-08-16T10:35:52.050215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.028742Z","title":"Four-dimensional data assimilation: Compari- son of variational and sequential algorithms","venue":null,"work_id":"3476617c-0d96-45d9-9383-1478284c96ff","year":1992},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.720747Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:90a1e9131db621146f62d41d2f02375f8533b7667b89a25ac047746ef34981e0","observation_id":"558c0cec-9d9a-439d-b98a-7b663cbe36ab","resolution":{"observed_at":"2026-08-16T10:35:52.033730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:52.012400Z","title":null,"venue":null,"work_id":"8bf083c9-bfd5-4a44-8cb3-ceaed09caefa","year":2010},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.725489Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:df83913b1211c1e095209fe9bfb7a45e617eec0b1415b96eeb188ace7eedd1e0","observation_id":"be60b49f-fe89-41e3-bf03-8a66156c5442","resolution":{"observed_at":"2026-08-16T10:35:52.017436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.06191","last_updated":"2023-02-14T18:51:59Z","snapshot_observed_at":"2026-08-14T18:14:48.074750Z","submitted_at":"2018-10-15T06:09:12Z","title":"Inverse Problems and Data Assimilation","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.06191","snapshot_observed_at":"2026-08-16T10:35:51.730139Z","title":"Inverse problems and data assimi- lation","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.730139Z"},"links":{"cited_paper":"/paper/1810.06191","citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:c0a6218069dd91d50fe51c40f68109a5aac5174de07c1b9c6f130d13ecb262dd","observation_id":"ab22d5be-bd9f-4916-b12d-9c8cb3cd8b1f","resolution":{"observed_at":"2026-08-16T10:35:51.730139Z","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":"2026-08-16T10:35:51.736191Z","title":"A generalized representer theorem","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.736191Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:15e59f139e1e96d7af3158dd912f80093d69f271d7446a33d1baf8cd27272484","observation_id":"7ee58ed8-8218-4028-809c-399326d6132a","resolution":{"observed_at":"2026-08-16T10:35:51.736191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.983632Z","title":"A review of innovation-based methods to jointly estimate model and observation error covariance matrices in ensemble data assimilation","venue":null,"work_id":"1b2534a0-be65-4f1a-96cb-c1272db68c0a","year":2020},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.740688Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:f52465ccd7e8867c48ee580870582d44c220b47088891c45849da6ab2321e5b5","observation_id":"9d2624bd-2366-487c-b4b7-c9698b007c1f","resolution":{"observed_at":"2026-08-16T10:35:51.989872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.966309Z","title":"Solutions of ill-posed problems","venue":null,"work_id":"40082388-a0be-404f-846c-6d259b5f77df","year":1977},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.745278Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:9b044291383212461706200d2e556dd9fe0cb89f5f4af299cbc6211a0fb9fc68","observation_id":"7b18d727-ffa3-435a-bcd5-d1eb8be56252","resolution":{"observed_at":"2026-08-16T10:35:51.971228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.948785Z","title":"Accounting for an imperfect model in 4d-var","venue":null,"work_id":"4e732867-58cd-4998-9d55-c15940bce07c","year":2006},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.749818Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:2a9010cbece5e182ec653275373cee2637b87efe8685794f5cdb14ce7c22be6e","observation_id":"2a061e6f-9d38-46c8-85d6-ac7ce08e96d2","resolution":{"observed_at":"2026-08-16T10:35:51.954100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.932617Z","title":"Model-error estimation in 4d-var","venue":null,"work_id":"f5aa8809-99c1-4eb1-8bb6-af6405acd937","year":2007},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.754540Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:18474fe225450d7f6809c98cf3be77e6965a8607bd7b1bc0f7d0f1309408c526","observation_id":"a65b3446-cd5f-4a0d-8c80-a84e39b2223c","resolution":{"observed_at":"2026-08-16T10:35:51.937563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.915375Z","title":"Variational data analysis with control of the forecast bias","venue":null,"work_id":"a4484174-9cd0-4cc8-8208-9216b884613e","year":2004},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.759912Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:45bbfffa97bdfb43811bb3c41dda52017bb146c232a2c6a288dc6b05d7c75cf2","observation_id":"5778efbb-f7b5-4a1b-a89d-a549e28ab7e1","resolution":{"observed_at":"2026-08-16T10:35:51.920501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.899732Z","title":"Non-convergence of the l-curve regularization parameter selection method","venue":null,"work_id":"1597cd1f-d7bc-4658-9c7a-6b6a3fe7ad4c","year":1996},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.764553Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:5864694bfe9b901f457e8a2ffe622b8287977afedf96c7520726de44e42d6ccb","observation_id":"1cc1369f-0419-4cc5-8c06-f5cf1db176f3","resolution":{"observed_at":"2026-08-16T10:35:51.904603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T10:35:51.769095Z","title":"Spline models for observational data","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.769095Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:bdc710a78c6a6c641ad999b26e85fd1ff4e45b0583390495007292243a092880","observation_id":"7eef5e00-c728-474f-99b5-05546a1a1ba2","resolution":{"observed_at":"2026-08-16T10:35:51.769095Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.873370Z","title":"Representer theorem","venue":null,"work_id":"acbc3b6e-7eae-49ef-8250-db045f08fb24","year":2019},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.773675Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:8f2f3ff0deb0a581d411b8729e8f063384faafac892a0888aae972da8bd0e42b","observation_id":"47071343-7408-4e21-8c9c-626175d0fb88","resolution":{"observed_at":"2026-08-16T10:35:51.877901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.855769Z","title":"Inverse methods in hydrogeology: Evolution and recent trends","venue":null,"work_id":"cd74efff-607b-4f5b-b1dd-bde93c378cd8","year":2014},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.778098Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:875f7ff3263a4cb2bb9276387429d2208b179c38bfcc2886063d70d5e0fbf150","observation_id":"be8e7a54-b76f-42f8-8569-b902f6bd244d","resolution":{"observed_at":"2026-08-16T10:35:51.862293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T10:35:51.836261Z","title":"A general weak constraint applicable to operational 4dvar data assimilation systems","venue":null,"work_id":"3b616859-ab9f-49cf-a653-2a02278cca9f","year":1997},"citing_paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-16T10:35:51.782446Z"},"links":{"citing_paper":"/paper/2504.17900"},"observation_digest":"sha256:0a806633b62755dde4dffead9a282d7a24daab5eb91afc0da1252ff8805ac0c4","observation_id":"ec3b4c2b-4bac-4157-94c9-5ddf1a4d2be1","resolution":{"observed_at":"2026-08-16T10:35:51.843422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.17900","last_updated":"2025-04-24T19:22:10Z","latest_version":1,"primary_category":"stat.ME","snapshot_observed_at":"2026-08-16T10:27:32.425794Z","submitted_at":"2025-04-24T19:22:10Z","title":"Model Error Covariance Estimation for Weak Constraint Data Assimilation"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":37},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2504.17900."}