{"as_of":"2026-08-07T09:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:40626d71a7cbfc590397141f39f4bbacee8c5f6faa472b45f3a5fccab5616295","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-12T03:55:32.973708Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2605.08454/citation-record","integrity":"/paper/2605.08454/integrity","json":"/paper/2605.08454/citation-record.json","paper":"/paper/2605.08454"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/b978-0-08-036201-4.50120-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"editor =","venue":"Elsevier eBooks","work_id":"29fa5885-5458-48ff-a037-62f3ef54f6c8","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:e82b94965c086e6ebd56fe8bea8957909933374e0f6505991e49988af9415265","observation_id":"05c6644e-3e07-4d51-a631-b8f639aee2e7","resolution":{"observed_at":"2026-05-12T03:56:19.331165Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"and Welling, Max , year = 2022, publisher =","venue":null,"work_id":"b78fa7d6-0c0d-4cb0-8677-6ccc03759fa2","year":2022},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:a591481a98ee9eb1dfb831cfd455f69a0237d858ce118c02436ec991074815fb","observation_id":"65fd1cbe-cff4-4d6c-ab6e-2468b5b8895d","resolution":{"observed_at":"2026-05-12T17:31:44.224833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Neural Ordinary Differential Equations , booktitle =","venue":null,"work_id":"d103af88-391b-4b57-95ac-7a2a02794715","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:f0c7029af7810d89296d4d80f7995b76c9f4f552f36e1c659f331097ec84a930","observation_id":"a3cfbb36-8bb6-474e-980e-48631149be7b","resolution":{"observed_at":"2026-05-12T17:31:44.228491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Implicit Neural Spatial Representations for Time-Dependent Pdes , booktitle =","venue":null,"work_id":"55c0198c-6339-444c-a35d-15933c46cc77","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:fac1d238c43511a44676db38d771e700422bfb4e54876f744772c10b6663ae3f","observation_id":"2602d160-95b4-4d3c-877d-c48944e6e98e","resolution":{"observed_at":"2026-05-12T17:31:44.281827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4612-6333-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1007/978-1-4612-6333-3 , bibsource =","venue":"Applied mathematical sciences","work_id":"d0ec4759-8037-41b8-9de8-937b617b5123","year":1978},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:7fa343c354e61a9397912bb3c2e0954a5919e6b34ee7d8dd36cf4958aaec50ee","observation_id":"d2a71c31-ee72-4ba5-b28d-b2316a9e094b","resolution":{"observed_at":"2026-05-12T03:56:19.351336Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-07-12T18:20:06.301519+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T18:20:06.301519+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1201/9781351075107","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"year = 2018, month = may, edition =","venue":null,"work_id":"d2ec4467-5210-421c-b567-9fcc2913eced","year":2018},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:13f4dc10825c9ceb81b98f024a63ff361aa29d31350b2f9a05c16a6ea0b659b5","observation_id":"99e041c0-8291-4bbf-b5c3-6f901aa6385b","resolution":{"observed_at":"2026-05-12T03:56:19.231357Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1609/aaai.v39i16.33846","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Learning Physics Informed Neural ODEs with Partial Measurements","venue":"Proceedings of the AAAI Conference on Artificial Intelligence","work_id":"e74fbcaa-d35a-405b-a059-4132da268f0d","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:c406368c1a05e35218c1e2a11c0c1c94ab24c19bb894a411eb6106bcbf2de8c3","observation_id":"e02b3513-5d34-48ce-a9a5-92d4d856da30","resolution":{"observed_at":"2026-05-12T03:56:19.289350Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-05-25T08:25:59.083637+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T08:25:59.083637+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/3-540-30666-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hairer, C","venue":null,"work_id":"967f5d1d-369e-4b57-9808-818a38c94348","year":2006},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:d42f2a9965d9cf98f64161a14f30b7c01b1e0db4081885d67caa77bc9769f2e1","observation_id":"f53e25ed-565a-4a84-809c-baef1de6d378","resolution":{"observed_at":"2026-05-12T03:56:19.259825Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-07-13T22:22:23.94051+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-13T22:22:23.94051+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0021-9045(76)90040-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Approximation Theory , volume =","venue":"Journal of Approximation Theory","work_id":"187b4b31-05d3-4d71-ae83-96d02f560550","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:b3184c660906295076b7df824302920a21516a45f977c1afd126537cb14ee131","observation_id":"ae2e9020-69ff-4884-a048-865cd036c9c6","resolution":{"observed_at":"2026-05-12T03:56:19.345670Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"International Conference on Machine Learning","venue":null,"work_id":"7f0ee960-dcd1-48db-bbf9-d925c661effe","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:88d5059e2a1d649c0d5bf62868c62a83077b87df5da8437bf50644ff08775297","observation_id":"ede020f7-028e-48b6-a7e0-58bf2c72addd","resolution":{"observed_at":"2026-05-12T17:31:44.292241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/1034019","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Siam Review , volume =","venue":"SIAM Review","work_id":"8abe24a8-33f0-405c-a327-4b0217e9a19b","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:674623458864d7daad82676d46bc15a7ee8749f1bb04f2484b07c529009ede5b","observation_id":"cc686871-8229-4519-a2e2-b7198a6e82d5","resolution":{"observed_at":"2026-05-12T03:56:19.395648Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Group Equivariant Fourier Neural Operators for Partial Differential Equations , booktitle =","venue":null,"work_id":"330651ee-437d-483e-984d-2dd75f89437f","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:1133d45085ed018138291d667a30b49cb4b6f7b8cb6d236193fa9002f6c74fd5","observation_id":"d91c786f-c578-47db-a933-a9eb3bc64ed2","resolution":{"observed_at":"2026-05-12T17:31:44.288893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.05297","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv , bibsource =:2512.05297 , doi =","venue":null,"work_id":"10182f6a-45bb-42d9-8075-b3368c62244d","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:a34a05e0be6db489fc0fd3cc2f78d95a8937fbf05b748164bd6f78b58b6917d8","observation_id":"090f71b4-5abc-4ec7-83de-6289f19f1043","resolution":{"observed_at":"2026-05-12T03:56:21.677452Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Learning Continuous System Dynamics from Irregularly-Sampled Partial Observations , booktitle =","venue":null,"work_id":"63add017-1dec-4825-936f-a6d286c20c34","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:f06c353fdbe031d854310b8ac09fe6cb8415bbcb3681881f421e77fc1088b5fd","observation_id":"c6417a81-670d-4472-b2a1-bd943e18668f","resolution":{"observed_at":"2026-05-12T17:31:44.232044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18857","last_updated":"2025-05-24T20:27:16Z","snapshot_observed_at":"2026-07-06T21:29:55.740715Z","submitted_at":"2025-05-24T20:27:16Z","title":"Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems","version":1},"cited_work":{"arxiv_id":"2505.18857","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18857","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hierarchical-Embedding Autoencoder with a Predictor (","venue":null,"work_id":"2f144908-b7de-4d93-81f8-635f01a0ef15","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2505.18857","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:b9481eb9fc3a57ec17787261ae7ec165f5a04d8bd36bbfbe585b1fd9aad736f3","observation_id":"a0fcbe26-bb58-4422-bc61-a4d7b29e6610","resolution":{"observed_at":"2026-05-12T03:56:21.668180Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"editor =","venue":null,"work_id":"7924f68f-5bd5-431e-96a9-aa4ce9e07401","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:7cd646f885f491c515f9843ab8a90963ce6f9e6aae1ec02a69069edb7b597602","observation_id":"3683d046-e073-4977-aa12-ef73df186460","resolution":{"observed_at":"2026-05-12T17:31:44.221679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Learning Infinitesimal Generators of Continuous Symmetries from Data , booktitle =","venue":null,"work_id":"9a501722-a638-4330-bc30-311b60b3d82a","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:6140df3af0fcfba422f5f2c6d7e219588fb233867c7531b77a9f31bad6667879","observation_id":"a289b356-3f1d-4f5a-a53c-45159e58da09","resolution":{"observed_at":"2026-05-12T17:31:44.242254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"The Twelfth International Conference on Learning Representations","venue":null,"work_id":"39847e75-4494-44d9-b822-842c892ef187","year":2024},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:9fb5c363f21b0f6759c6beeef4bccf50d29797d12933650fc58d37072c321fb6","observation_id":"28b0bef3-47ba-4b34-9da0-f06f7db68ab8","resolution":{"observed_at":"2026-05-12T17:31:44.246307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.03485","last_updated":"2020-03-07T01:56:20Z","snapshot_observed_at":"2026-08-03T02:26:02.483819Z","submitted_at":"2020-03-07T01:56:20Z","title":"Neural Operator: Graph Kernel Network for Partial Differential Equations","version":1},"cited_work":{"arxiv_id":"2003.03485","doi":"10.48550/arxiv.2003.03485","metadata_source":"pith","pith_arxiv_id":"2003.03485","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Neural Operator: Graph Kernel Network for Partial Differential Equations","venue":"cs.LG","work_id":"00a591bc-6cad-477c-be12-26d5623f625d","year":2020},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2003.03485","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:dcbb940bb83e2eb1bfff869158969e5d6d3c39571b888f7fac8d709c3cf4bd2c","observation_id":"a9d1273d-34b3-4a01-a17e-d9c26f9c04b2","resolution":{"observed_at":"2026-05-14T22:17:49.535762Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-05-24T06:24:49.668532+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T06:24:49.668532+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"and Anandkumar, Anima , year = 2021, publisher =","venue":null,"work_id":"56735687-28e5-4cfa-b22c-dba4d717e6d2","year":2021},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:cc91853f07aabcada4515ae9d837515e6806e94cfc06deeaf90cfcdb6d45a0b9","observation_id":"f150ca16-635e-4758-b9d1-1dcdebfd5606","resolution":{"observed_at":"2026-05-12T17:31:44.235547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00583","last_updated":"2023-09-01T16:59:21Z","snapshot_observed_at":"2026-07-06T16:13:23.343694Z","submitted_at":"2023-09-01T16:59:21Z","title":"Geometry-Informed Neural Operator for Large-Scale 3D PDEs","version":1},"cited_work":{"arxiv_id":"2309.00583","doi":"10.48550/arxiv.2309.00583","metadata_source":"arxiv_reference","pith_arxiv_id":"2309.00583","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Z., Liu, B., and Anandkumar, A","venue":"arXiv (Cornell University)","work_id":"b57f5179-2379-4048-b180-5c84d9a20a8a","year":2023},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2309.00583","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:353058b9afd5e50d3c179aa6babd0834ad6c12c50a308fcd0e0ebf9c55458b62","observation_id":"fb4e691b-8c11-4f2f-b2f8-1f854560f4ec","resolution":{"observed_at":"2026-05-12T03:56:19.318957Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.22600","last_updated":"2025-03-28T16:44:28Z","snapshot_observed_at":"2026-07-06T21:00:27.824615Z","submitted_at":"2025-03-28T16:44:28Z","title":"Generative Latent Neural PDE Solver using Flow Matching","version":1},"cited_work":{"arxiv_id":"2503.22600","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.22600","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Generative latent neural PDE solver using flow matching","venue":null,"work_id":"4f6ac437-e601-4a6b-9dae-b8b24197e931","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2503.22600","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:7f818bd3b8bc4b81860602fdd7704d2cf7ea21f670b81bdfa1655323e23dab12","observation_id":"559957a5-a9ec-4e18-afd2-9b430164a5dc","resolution":{"observed_at":"2026-05-12T03:56:21.661507Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5e99fab8-3db8-4fba-b4d6-eb184919d23a","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:1f3ea46a24174cbd69da24f083a079b8470f51aa5cc40f38ffc1c4ffa4a39714","observation_id":"623af339-0b5e-4348-8ad2-b2694cd96166","resolution":{"observed_at":"2026-05-12T17:31:44.261983Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2505.14502","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"CoRR , volume =","venue":null,"work_id":"7287d67d-a5c9-4d1f-a53e-879ced8d2eed","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:97da6c2d7a51659021823da2eba2026f09e53b0de9a8005a694550c4f9cbe562","observation_id":"bdd738c4-1468-4051-ad48-cd8a3551579d","resolution":{"observed_at":"2026-05-12T03:56:21.664621Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7ed7ef46-93d9-4784-9dca-5801ef52c250","year":2026},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:bd730eb2e5063a846275ee111914b8eeb9a8166b9557222197ff2797547e1f29","observation_id":"b6f71140-c6bf-4adc-94fd-4786049ce456","resolution":{"observed_at":"2026-05-12T17:31:44.268168Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s42256-021-00302-5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T19:15:30.336284Z","title":"Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators","venue":"Nature Machine Intelligence","work_id":"f2082736-3a83-4328-b3a9-fe9b8f70392c","year":2021},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:ce0e0f15bed979eaeb2771b7a082b0287fa7325c275b5da20a5aae6bb57addec","observation_id":"c39a8ed0-b41d-4b20-b99f-e248b1d49df1","resolution":{"observed_at":"2026-05-12T03:56:19.386662Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-07-11T00:19:00.250784+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T00:19:00.250784+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.18684","last_updated":"2025-03-16T21:22:43Z","snapshot_observed_at":"2026-07-06T18:21:40.161582Z","submitted_at":"2024-05-29T01:25:43Z","title":"Learning Diffeomorphism for Image Registration with Time-Continuous Networks using Semigroup Regularization","version":3},"cited_work":{"arxiv_id":"2405.18684","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.18684","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"CoRR , volume =","venue":null,"work_id":"ed2ca551-42bb-434e-afd1-0eed3aa85212","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2405.18684","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:2dc8448504c7f18ab5f832345e87c281157e92eeb2dc11c616fcc6b8cbd69568","observation_id":"0636fc71-332a-45c2-b62b-4e6044c63400","resolution":{"observed_at":"2026-05-12T03:56:21.674345Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems 38","venue":null,"work_id":"79926f32-9138-43de-8cf9-d0205c55452a","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:2b7b45f582381b462175ef303a6de62a344e7231b0a81d5946510f5d1e4686e2","observation_id":"ba1ccd61-d5d0-487c-b2e7-a31d179575af","resolution":{"observed_at":"2026-05-12T17:31:44.255646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/1033041","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Siam Review , volume =","venue":"SIAM Review","work_id":"ce94ff99-40cf-49ce-bebe-809d32809f01","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:5d0819134396225fb63bb7443b3740728ccb76c2462056ecc1bf8c3a63fdaa25","observation_id":"f2fae5f4-97d4-4e7b-94c1-62d8cbb0de3e","resolution":{"observed_at":"2026-05-12T03:56:19.298740Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.09264","doi":"10.48550/arxiv.2507.09264","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Controllable","venue":"arXiv (Cornell University)","work_id":"0be466bc-633b-458f-9280-3e0b80bc7741","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:4f4e257da35f0ff7da4e7823c2bbbf06e2283f31768e6ddcb710e629922456a0","observation_id":"3d8fa1ee-404c-4c55-b542-4b826e290099","resolution":{"observed_at":"2026-05-12T03:56:19.381828Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1080/00411457108231446","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Transport Theory and Statistical Physics , volume=","venue":"Transport Theory and Statistical Physics","work_id":"e61b82b5-e931-4203-b27c-e20498fe74d8","year":1918},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:4ac22a02937b5b7e4cb9b6b8bfbadbd03a9e934ec7a8d3df374c7ecd3b531f1d","observation_id":"ef7f5b91-2b40-4798-b893-7ffb4a7ca398","resolution":{"observed_at":"2026-05-12T03:56:19.274978Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"On Second Order Behaviour in Augmented Neural Odes , booktitle =","venue":null,"work_id":"095f6d26-d6f2-4e7b-9fbf-567ba0a69831","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:8938941d8e87f3acda75dfb5f905aa32d0fbd8d13dc978bcdd98ce73a21bdfd5","observation_id":"df1c4c77-9737-4bce-b83f-ceef70caf9dc","resolution":{"observed_at":"2026-05-12T17:31:44.274978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4612-4350-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Applications of Lie Groups to Differential Equations","venue":"Graduate Texts in Mathematics","work_id":"b6102f87-9009-449b-b152-04f26a3ef014","year":2000},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:238fdc3401b7008a5617298071ad030f13be186c4c7ff21b0c60a186cd6d8df5","observation_id":"f2413b01-93b6-4d26-8f47-15e4dcd45021","resolution":{"observed_at":"2026-05-12T03:56:19.245250Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-05-24T16:23:06.698434+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T16:23:06.698434+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Learning Mesh-Based Simulation with Graph Networks , booktitle =","venue":null,"work_id":"ccfc69c8-8a73-46f2-9547-d6a703781150","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:209e65d4900cfcc52e364c3c1c9b896419efe8099c307e9752e55636459fee6a","observation_id":"4f9e35ba-c11a-4d9b-98a2-70c98a0e01a7","resolution":{"observed_at":"2026-05-12T17:31:44.295190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.21645","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lie Flow","venue":null,"work_id":"652d7f92-c484-485e-b19b-83efc252af7e","year":2026},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:7ccab01e328d211e90b2c7d3307989e10d1f4422e9cf7eecd5061fd6eb17386b","observation_id":"a7d6dbde-e522-42a9-8d63-26a802f549d7","resolution":{"observed_at":"2026-05-12T03:56:21.680481Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2018.10.045","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T10:17:00.970707Z","title":"Raissi, P","venue":"Journal of Computational Physics","work_id":"16a1de8a-4145-44c7-a263-8f01bfe9ca2e","year":2019},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:228b587e51aff4d1d812da35d9390c20c5e62433666e8baf105c5fad59114500","observation_id":"0d98a980-4863-4aba-bf26-c3363dbcd2b6","resolution":{"observed_at":"2026-05-12T03:56:19.358254Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-01T09:38:23.838098+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T09:38:23.838098+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"29a1ab93-6ff5-4573-9a5c-8ac8efac8941","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:f011764b2705f319df82f4c596bb43ef660daf49e4420d92ed0ae69bb7a4f540","observation_id":"4f6d825d-85a4-4252-8345-c55caf1b4692","resolution":{"observed_at":"2026-05-12T17:31:44.252703Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Consistency Models , booktitle =","venue":null,"work_id":"d69cb6bb-eb64-4941-9968-f8d0ef86eb04","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:a12ca96d494bb08c5a2557e5fdf8532867698a33b8bd855b0c16e0429123014d","observation_id":"758b0236-fe76-401e-8a6b-8e4cfc470992","resolution":{"observed_at":"2026-05-12T17:31:44.258772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Hamiltonian Normalizing Flows as Kinetic","venue":null,"work_id":"de83f326-3990-4d80-aaa2-f929a9a1fc38","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:52e70e89a7bdcecae5186f7da81863b0e03264d514816ca97d395a861de88e4e","observation_id":"75410129-793f-465e-996e-2a901c695039","resolution":{"observed_at":"2026-05-12T17:31:44.265117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Advances in Neural Information Processing Systems 35","venue":null,"work_id":"e71ba434-6103-4d4e-ae73-1aaf5a38c09e","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:02a6b03507f84e081ad10e2a1a359d5a6a119fd85af1dc895e1ac6e0ca0857f6","observation_id":"e8e16ba8-cb4e-49bd-bbcc-fec2fc03516b","resolution":{"observed_at":"2026-05-12T17:31:44.271814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"58240097-095e-46d5-a524-feeacc585d07","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:d06fe244bf4ae93e2e633603bf70aa3cba1f2913d32de3b47d2284fd0d35fcf8","observation_id":"815270eb-54fc-42e7-bf34-711c496b075c","resolution":{"observed_at":"2026-05-12T17:31:44.285229Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.00862","last_updated":"2025-06-01T06:59:27Z","snapshot_observed_at":"2026-08-02T22:44:15.284822Z","submitted_at":"2025-06-01T06:59:27Z","title":"FourierFlow: Frequency-aware Flow Matching for Generative Turbulence Modeling","version":1},"cited_work":{"arxiv_id":"2506.00862","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.00862","snapshot_observed_at":"2026-07-01T21:56:16.590409Z","title":"Fourierflow: Frequency-aware flow matching for generative turbulence modeling","venue":null,"work_id":"f48c9f68-aa23-497f-aa87-f10004bda42a","year":2025},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2506.00862","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:9335f70156943fcdd0e4c54322417fddb3e7ea5a1e72e1aa23eab0385433ec27","observation_id":"d2f4596c-66fb-444f-9609-8559c488d7dd","resolution":{"observed_at":"2026-05-12T03:56:21.683449Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"bioRxiv : the preprint server for biology , file =","venue":null,"work_id":"9582e78c-ebed-406a-9bce-3377a68454af","year":null},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:175ec56c15df06824196af71d3dd7a989f21ea205165eb9b914fbc4bdacdc89c","observation_id":"5cb993d8-326d-44cd-ac2c-63aed631599c","resolution":{"observed_at":"2026-05-12T17:31:44.278418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"The Twelfth International Conference on Learning Representations","venue":null,"work_id":"4a1cfcf9-7862-4036-9f3e-4832ba77e04f","year":2024},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:e038380dc0e1b9a9c64de02b3cd59c199a5010ca8ad67e6312dcb94e4bd4d47e","observation_id":"01cae2cf-05c7-4c37-b359-f4604d71dfaf","resolution":{"observed_at":"2026-05-12T17:31:44.249722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2602.23058","last_updated":"2026-05-17T06:55:06Z","snapshot_observed_at":"2026-07-06T22:47:11.228912Z","submitted_at":"2026-02-26T14:42:53Z","title":"GeoWorld: Geometric World Models","version":2},"cited_work":{"arxiv_id":"2602.23058","doi":null,"metadata_source":"pith","pith_arxiv_id":"2602.23058","snapshot_observed_at":"2026-07-04T06:29:37.349749Z","title":"GeoWorld: Geometric World Models","venue":"cs.CV","work_id":"1fdb4001-549e-49de-91c7-0bc17aea7a07","year":2026},"citing_paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-05-12T03:55:32.973708Z"},"links":{"cited_paper":"/paper/2602.23058","citing_paper":"/paper/2605.08454"},"observation_digest":"sha256:604e902f35f38d9272e312ccca09b5220010302fd1f38636a03a575a5e9a842f","observation_id":"73b40bab-9eca-4ddd-8256-fe6de50d2e02","resolution":{"observed_at":"2026-05-20T00:03:06.942760Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.08454","last_updated":"2026-05-08T20:24:32Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-03T04:49:11.562142Z","submitted_at":"2026-05-08T20:24:32Z","title":"Recovering Physical Dynamics from Discrete Observations via Intrinsic Differential Consistency"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":6,"parse_uncertain":0,"unresolved":4,"verified_exact":17,"verified_fuzzy":18},"total_outbound_references":45},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2605.08454."}