{"as_of":"2026-08-14T19:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:598bd5dc937d041a3c1453952f58d84123b54d272da834d5c349df7c83b11e39","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-08-10T19:32:41.649983Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T19:32:42.513590Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2102.03293","last_updated":"2021-04-05T04:55:17Z","snapshot_observed_at":"2026-08-14T14:54:26.153862Z","submitted_at":"2021-02-05T17:06:32Z","title":"Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions","version":2},"cited_work":{"arxiv_id":"2102.03293","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.03293","snapshot_observed_at":"2026-08-10T19:32:42.513590Z","title":"Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions","venue":"math.NA","work_id":"685c0e07-d34f-4faa-8965-74e92efca915","year":2021},"citing_paper":{"arxiv_id":"2501.09987","last_updated":"2025-01-17T06:56:51Z","snapshot_observed_at":"2026-08-13T09:19:02.164716Z","submitted_at":"2025-01-17T06:56:51Z","title":"On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T19:32:41.649983Z"},"links":{"cited_paper":"/paper/2102.03293","citing_paper":"/paper/2501.09987"},"observation_digest":"sha256:2ed189b58fcfb3e9d5d1ba4cf0d3d81da73ae91f8c74065c90ebf771293159bf","observation_id":"24704c30-1748-4e95-ab44-769e53389869","resolution":{"observed_at":"2026-08-10T19:32:42.519585Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2102.03293/citation-record","integrity":"/paper/2102.03293/integrity","json":"/paper/2102.03293/citation-record.json","paper":"/paper/2102.03293"},"outbound":[],"paper":{"arxiv_id":"2102.03293","last_updated":"2021-04-05T04:55:17Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T14:54:26.153862Z","submitted_at":"2021-02-05T17:06:32Z","title":"Linearized Learning Methods with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2102.03293."}