{"as_of":"2026-08-09T13:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d643cd4f75d94c4eeb2ff1ec67be574a28b35749c7e83396a03e1044fb1a0cdf","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":"2026-08-07T12:10:53.992899Z","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":"2026-05-21T12:14:11.780624Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2305.04962","last_updated":"2023-05-08T18:00:33Z","snapshot_observed_at":"2026-07-06T15:24:45.921232Z","submitted_at":"2023-05-08T18:00:33Z","title":"Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04962","snapshot_observed_at":"2026-08-07T12:10:53.992899Z","title":"arXiv preprint arXiv:2305.04962 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.00704","last_updated":"2025-06-04T21:39:52Z","snapshot_observed_at":"2026-08-07T14:12:36.137377Z","submitted_at":"2025-05-31T20:19:07Z","title":"Nonlinear Optimal Recovery in Hilbert Spaces","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:53.992899Z"},"links":{"cited_paper":"/paper/2305.04962","citing_paper":"/paper/2506.00704"},"observation_digest":"sha256:ff82781e3e919915723c298c97a3d02950cfaf72f9b10a75128f368e1dc482b4","observation_id":"d0548d4c-551c-4c2b-bf9f-365a58778644","resolution":{"observed_at":"2026-08-07T12:10:53.992899Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04962","last_updated":"2023-05-08T18:00:33Z","snapshot_observed_at":"2026-07-06T15:24:45.921232Z","submitted_at":"2023-05-08T18:00:33Z","title":"Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs","version":1},"cited_work":{"arxiv_id":"2305.04962","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.04962","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Batlle, Y","venue":null,"work_id":"ec97d182-22f7-47d3-a972-86f0443f9076","year":2023},"citing_paper":{"arxiv_id":"2603.01084","last_updated":"2026-05-18T14:00:52Z","snapshot_observed_at":"2026-08-02T23:19:20.979742Z","submitted_at":"2026-03-01T12:56:40Z","title":"Kernel-Based LMI Approaches to Solving the Hamilton-Jacobi-Bellman Equation and Nonlinear Optimal Control","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-21T12:11:34.123475Z"},"links":{"cited_paper":"/paper/2305.04962","citing_paper":"/paper/2603.01084"},"observation_digest":"sha256:dd41b120f4793277898f69df1e485fbebb58b943b00c8d68c03e996c23caabc5","observation_id":"d426e23c-414b-4ea7-a708-750cabfeaa71","resolution":{"observed_at":"2026-05-21T12:14:11.782643Z","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":"2305.04962","last_updated":"2023-05-08T18:00:33Z","snapshot_observed_at":"2026-07-06T15:24:45.921232Z","submitted_at":"2023-05-08T18:00:33Z","title":"Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs","version":1},"cited_work":{"arxiv_id":"2305.04962","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.04962","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Batlle, Y","venue":null,"work_id":"ec97d182-22f7-47d3-a972-86f0443f9076","year":2023},"citing_paper":{"arxiv_id":"2605.21276","last_updated":"2026-05-20T15:08:08Z","snapshot_observed_at":"2026-08-01T15:30:40.728585Z","submitted_at":"2026-05-20T15:08:08Z","title":"Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-21T04:39:16.463390Z"},"links":{"cited_paper":"/paper/2305.04962","citing_paper":"/paper/2605.21276"},"observation_digest":"sha256:178405706525610eda718369281fb2a2db2a1b3f78f7832a7b622acbd3f6aff3","observation_id":"f1e8c0dd-e26e-4436-a219-dd62e03cbd86","resolution":{"observed_at":"2026-05-21T04:39:34.908339Z","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/2305.04962/citation-record","integrity":"/paper/2305.04962/integrity","json":"/paper/2305.04962/citation-record.json","paper":"/paper/2305.04962"},"outbound":[],"paper":{"arxiv_id":"2305.04962","last_updated":"2023-05-08T18:00:33Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-07-06T15:24:45.921232Z","submitted_at":"2023-05-08T18:00:33Z","title":"Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs"},"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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2305.04962."}