{"as_of":"2026-08-10T00:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bcaefdefc45d3c171676616fb23a6f580066f7b2dfaee4bcb0a735b78a958a09","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:21:46.813597Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T13:52:47.249619Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T04:27:37.267290Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"cited_work":{"arxiv_id":"2506.08285","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.08285","snapshot_observed_at":"2026-07-03T04:27:37.267290Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction, June 2025","venue":null,"work_id":"5d8d32b6-47de-4f7c-8acb-fe6fad0a9c67","year":2025},"citing_paper":{"arxiv_id":"2606.10642","last_updated":"2026-06-11T11:19:56Z","snapshot_observed_at":"2026-08-06T15:10:39.930516Z","submitted_at":"2026-06-09T09:45:52Z","title":"PhysMetrics.Weather: An Evaluation Framework for Physical Consistency in ML Weather Models","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-27T13:52:47.249619Z"},"links":{"cited_paper":"/paper/2506.08285","citing_paper":"/paper/2606.10642"},"observation_digest":"sha256:d195817a1cee27c92ba234eb951090a294b83fddbecdd117cdccc7de634f6413","observation_id":"52ef2409-74cc-4f0c-a75f-1708e0e5b50e","resolution":{"observed_at":"2026-07-03T04:27:37.269112Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.08285/citation-record","integrity":"/paper/2506.08285/integrity","json":"/paper/2506.08285/citation-record.json","paper":"/paper/2506.08285"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.368301Z","title":"Enforcing Analytic Constraints in Neural Networks Emulating Physical Systems.Physical Review Letters, 126(9):098302, March 2021","venue":null,"work_id":"f012c9e4-3a99-4c43-baef-f17f634f50e4","year":2021},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.721124Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:581b7ac14ddeeb39e5a03352bfdb64c86b43ed8223f96f3cf454afb0afac2078","observation_id":"d0ee953a-4671-41c1-91ff-d70438ccf3e9","resolution":{"observed_at":"2026-08-07T05:21:47.375533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.351926Z","title":"Accurate medium-range global weather forecasting with 3D neural networks.Nature, 619(7970):533– 538, 2023","venue":null,"work_id":"dd73f40f-7fcb-4d73-9c5f-58b84297fc2c","year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.733439Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:468c7a161700605336a20ea8d09e3e9f51dcd960600d24afbdb6b55e562f819b","observation_id":"2e02e2c2-5874-4cc9-bf3a-9a80c2502834","resolution":{"observed_at":"2026-08-07T05:21:47.357289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-07T05:21:46.738006Z","title":"FengWu: Pushing the Skillful Global Medium-range Weather Forecast beyond 10 Days Lead","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.738006Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:ec2470cbb6e13ce798ec80d7e26b67cf9478d158fc97438aaa92f5c51911d9b8","observation_id":"271c5782-7b4f-4061-8dde-5e12a8c21ca9","resolution":{"observed_at":"2026-08-07T05:21:46.738006Z","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":"2026-08-07T05:21:47.334366Z","title":"FuXi: A cascade machine learning forecasting system for 15-day global weather forecast.npj Climate and Atmospheric Science, 6(1):1–11, 2023","venue":null,"work_id":"abae58f7-3b8e-4c8a-85e5-da06b9822fde","year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.742555Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:e6607f0661b2f2f5826fbe132e6999c47a1f85ffd6471c2b5fe8d7ac71e690b4","observation_id":"1b73643e-6afd-4452-9692-a052c9cb81b9","resolution":{"observed_at":"2026-08-07T05:21:47.340901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.317751Z","title":"On the lambert w function.Advances in Computational mathematics, 5:329–359, 1996","venue":null,"work_id":"a7b749a2-5942-45b7-9ede-fadf2f033bb3","year":1996},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.747318Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:884631159ffe15ee75af1e09a948f88001363e352748db3d97ba27b5392a1e32","observation_id":"cf90791e-7682-4daa-9fc2-4a804da40ac5","resolution":{"observed_at":"2026-08-07T05:21:47.322959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-07T05:21:46.752519Z","title":"Espinosa, Raul Moreno, and Matthias Karlbauer","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.752519Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:181c0ab1eec1a5627c507465f5798d80794ba78cb4cfe59da6e60c8810baf552","observation_id":"e215c91e-ba86-4c66-af59-07368d15ee97","resolution":{"observed_at":"2026-08-07T05:21:46.752519Z","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":"2026-08-07T05:21:47.301359Z","title":null,"venue":null,"work_id":"7a6f972b-337b-44e0-897f-5c7473438b8c","year":2005},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.758118Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:edd605387d1c0926d5c0670f5eb64f9889000c027b1fc1f777d4a4f652102e4a","observation_id":"4ac572b9-19d6-4367-b530-4eb62884dc14","resolution":{"observed_at":"2026-08-07T05:21:47.306631Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.284838Z","title":"The era5 global reanalysis.Quarterly journal of the royal meteorological society, 146(730):1999–2049, 2020","venue":null,"work_id":"4e6e49a6-b59e-4fc1-8134-0d8700d44395","year":1999},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.762201Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:38f012d060d9ccd3f9547a682b5988e19f24641d7520fff086768aca8db8cc5f","observation_id":"f83b5427-af00-4d55-a0c6-817e5d5d269f","resolution":{"observed_at":"2026-08-07T05:21:47.289932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":{"arxiv_id":"2407.00124","last_updated":"2025-01-31T21:21:27Z","snapshot_observed_at":"2026-07-06T18:38:42.333605Z","submitted_at":"2024-06-28T00:01:02Z","title":"Stable Machine-Learning Parameterization of Subgrid Processes in a Comprehensive Atmospheric Model Learned From Embedded Convection-Permitting Simulations","version":4},"cited_work":{"arxiv_id":"2407.00124","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.00124","snapshot_observed_at":"2026-08-07T05:21:46.898749Z","title":"Stable Machine-Learning Parameterization of Subgrid Processes in a Comprehensive Atmospheric Model Learned From Embedded Convection-Permitting Simulations","venue":"physics.ao-ph","work_id":"3e1ab946-1dfb-4dff-a9c3-b3126aa48081","year":2024},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.766528Z"},"links":{"cited_paper":"/paper/2407.00124","citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:de1b5e2afc824c399d44cd64db2acb71acfd26311153c2edf027e51637ce6e95","observation_id":"6e66f0ad-47c3-4b35-a11d-18efe127e782","resolution":{"observed_at":"2026-08-07T05:21:46.906269Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.266196Z","title":"Durran, Raul A","venue":null,"work_id":"3928aed2-7c23-4d19-9a88-4af1056351a0","year":2024},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.771524Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:c312e9d8ead29dcdad4219ae754b54bcdef21c73a4b52b826ca9f624c405fa8f","observation_id":"a0f99771-bf52-4c55-9d3d-597d2585dd1e","resolution":{"observed_at":"2026-08-07T05:21:47.272607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.247538Z","title":"Physics-informed machine learning: Case studies for weather and climate mod- elling.Philosophical transactions","venue":null,"work_id":"48802fad-0be9-4a1e-acf2-7eb5f457d703","year":2021},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.776781Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:c44d00043909a2fba56b2fd2d6197cc9362483a4290d795b19ce3481a97a2c3a","observation_id":"0e9ecf9b-35eb-4eb5-895a-71f24b3d6821","resolution":{"observed_at":"2026-08-07T05:21:47.253333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-07T05:21:46.781973Z","title":"Adam: A method for stochastic optimization.arXiv preprint arXiv:1412.6980, 2014","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.781973Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:3418c24965c487f97a6bc0470804b768c3af006bd14b2721bd4b48ca1675c0a1","observation_id":"74fbb7fd-4eb5-4fbb-be78-d0a64e677be0","resolution":{"observed_at":"2026-08-07T05:21:46.781973Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.07222","last_updated":"2024-03-08T02:14:15Z","snapshot_observed_at":"2026-07-06T16:46:30.470666Z","submitted_at":"2023-11-13T10:40:17Z","title":"Neural General Circulation Models for Weather and Climate","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.07222","snapshot_observed_at":"2026-08-07T05:21:46.786668Z","title":"Brenner, and Stephan Hoyer","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.786668Z"},"links":{"cited_paper":"/paper/2311.07222","citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:b13f13c08d07c73a5ed1b7239c9e89b934c3e158b8725ac32d153d3770dc8d34","observation_id":"eaca947a-f2af-4c13-aa54-6c59ea6925a0","resolution":{"observed_at":"2026-08-07T05:21:46.786668Z","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":"2026-08-07T05:21:47.230733Z","title":"Learning skillful medium-range global weather forecasting","venue":null,"work_id":"f257c57e-b651-44d5-a384-02fcbccb0faf","year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.791290Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:2920cbf03e13aa974a5e45a5a31d0f556e473a463f36f1cdaee2bfe5e788cb3f","observation_id":"f29a8c20-9049-436d-b00b-54d6f3f2be40","resolution":{"observed_at":"2026-08-07T05:21:47.235762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.213670Z","title":null,"venue":null,"work_id":"11f40477-aeb0-469b-a534-2a17ecb9210b","year":2024},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.795666Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:bc7269c38b793a9cf965d7df5df323f7a4786cdb8b81e3e304f9d978ff87bb4e","observation_id":"3f6177aa-39ae-45c0-ab9a-c6ffad290b87","resolution":{"observed_at":"2026-08-07T05:21:47.219208Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.194342Z","title":"NVIDIA PhysicsNeMo: An open-source framework for physics- based deep learning in science and engineering, February 2023","venue":null,"work_id":"f1eed2ee-d0e3-4a71-b331-a9a53b7d2444","year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.799951Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:b9a6dd13477366d8497d3d479edaff42344a5448805333d0b8d6c82263952ef5","observation_id":"bc6d70c3-d5ed-44b8-a048-3861e66254b5","resolution":{"observed_at":"2026-08-07T05:21:47.200974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:21:47.178544Z","title":"Vallis.Atmospheric and Oceanic Fluid Dynamics","venue":null,"work_id":"e824e55b-25ff-4916-a2f6-b5a8d61dbbb0","year":2017},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.804192Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:1be5e5e6d59a5db30cb17c8b8ca278cdc663e77bd5fd55fddd97040e76862c74","observation_id":"aaac7ce4-8acc-47ff-b678-0a2054897766","resolution":{"observed_at":"2026-08-07T05:21:47.183737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-07T05:21:46.808861Z","title":"Clark, Anna Kwa, W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.808861Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:f0c39663c69664773c898e9560c1cf6656cf57fc386e32b94a68493cc0bc508b","observation_id":"a3b9b8b5-4344-4773-8a3c-6b1a6476682b","resolution":{"observed_at":"2026-08-07T05:21:46.808861Z","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":"2026-08-07T05:21:47.146251Z","title":"Climsim: A large multi-scale dataset for hybrid physics-ml climate emulation.Advances in Neural Information Processing Systems, 36:22070–22084, 2023","venue":null,"work_id":"7f8e2405-e47a-403a-a73c-396383cce49b","year":2023},"citing_paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:21:46.813597Z"},"links":{"citing_paper":"/paper/2506.08285"},"observation_digest":"sha256:b524a5b27461c61f51c95732062e498b306184cfabd09283a5a2db8f9d52b734","observation_id":"6d4f7e17-3c7b-4478-a45e-02e1ba14cdd4","resolution":{"observed_at":"2026-08-07T05:21:47.153862Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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"}}],"paper":{"arxiv_id":"2506.08285","last_updated":"2025-06-09T23:18:50Z","latest_version":1,"primary_category":"physics.ao-ph","snapshot_observed_at":"2026-08-09T01:02:17.160239Z","submitted_at":"2025-06-09T23:18:50Z","title":"Imposing the Fundamental Dynamical Constraint of Hydrostatic Balance to Improve Global ML Weather Prediction"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":10},"total_outbound_references":19},"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 10 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2506.08285."}