{"as_of":"2026-08-10T00:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e773eedc3a798d01baecaee5acbc1e4a3320b091cf50c2bbda35f63dcaa8527a","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T23:34:47.102309Z","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":"2026-07-03T00:47:30.251533Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2007.02848","last_updated":"2020-12-21T17:26:50Z","snapshot_observed_at":"2026-07-06T09:35:47.880807Z","submitted_at":"2020-07-06T16:03:51Z","title":"Weak SINDy For Partial Differential Equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.02848","snapshot_observed_at":"2026-08-02T23:34:47.102309Z","title":"Messenger and David M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2602.13513","last_updated":"2026-02-17T20:17:04Z","snapshot_observed_at":"2026-08-09T16:02:11.525422Z","submitted_at":"2026-02-13T22:44:33Z","title":"Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-02T23:34:47.102309Z"},"links":{"cited_paper":"/paper/2007.02848","citing_paper":"/paper/2602.13513"},"observation_digest":"sha256:03abc7132a78cc580a70fcb76d143eaa165c53c157000f78bb8c2006e978177f","observation_id":"32860ef8-a95c-442f-801a-7a0005702e58","resolution":{"observed_at":"2026-08-02T23:34:47.102309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.02848","last_updated":"2020-12-21T17:26:50Z","snapshot_observed_at":"2026-07-06T09:35:47.880807Z","submitted_at":"2020-07-06T16:03:51Z","title":"Weak SINDy For Partial Differential Equations","version":3},"cited_work":{"arxiv_id":"2007.02848","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.02848","snapshot_observed_at":"2026-07-03T00:47:30.251533Z","title":"Messenger and David M","venue":null,"work_id":"2221e2dc-997e-460e-b6e6-0a465aff48f0","year":2021},"citing_paper":{"arxiv_id":"2606.08956","last_updated":"2026-07-27T01:57:24Z","snapshot_observed_at":"2026-08-03T21:37:59.460585Z","submitted_at":"2026-06-08T02:58:15Z","title":"From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-27T17:03:15.379147Z"},"links":{"cited_paper":"/paper/2007.02848","citing_paper":"/paper/2606.08956"},"observation_digest":"sha256:a48fb898fea51147d6675203f8eed64e060c2ea22bbdfd663304baf741466138","observation_id":"c83dd636-640f-4826-ad55-f185159f3d6b","resolution":{"observed_at":"2026-07-03T00:47:30.253206Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2007.02848","last_updated":"2020-12-21T17:26:50Z","snapshot_observed_at":"2026-07-06T09:35:47.880807Z","submitted_at":"2020-07-06T16:03:51Z","title":"Weak SINDy For Partial Differential Equations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.02848","snapshot_observed_at":"2026-08-02T12:05:37.916633Z","title":"Messenger and David M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.08956","last_updated":"2026-07-27T01:57:24Z","snapshot_observed_at":"2026-08-03T21:37:59.460585Z","submitted_at":"2026-06-08T02:58:15Z","title":"From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T12:05:37.916633Z"},"links":{"cited_paper":"/paper/2007.02848","citing_paper":"/paper/2606.08956"},"observation_digest":"sha256:8cb5853441f331189ae2f2b73386a64611b4d5379619384f021ca5f562173a51","observation_id":"97733d98-ad8a-42ff-aff1-c54ac8ce1519","resolution":{"observed_at":"2026-08-02T12:05:37.916633Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2007.02848/citation-record","integrity":"/paper/2007.02848/integrity","json":"/paper/2007.02848/citation-record.json","paper":"/paper/2007.02848"},"outbound":[],"paper":{"arxiv_id":"2007.02848","last_updated":"2020-12-21T17:26:50Z","latest_version":3,"primary_category":"math.NA","snapshot_observed_at":"2026-07-06T09:35:47.880807Z","submitted_at":"2020-07-06T16:03:51Z","title":"Weak SINDy For Partial Differential Equations"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2007.02848."}