{"as_of":"2026-08-19T11:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:65f91a315e707888c6e86cd9b647dd44ec7549e362a335dcc617a21b76c4f7d2","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":"2026-08-19T06:32:44.657259+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":"2026-08-16T12:09:46.132089Z","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":"2026-08-16T12:09:46.407012Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2210.15572","last_updated":"2025-01-06T09:07:35Z","snapshot_observed_at":"2026-08-18T11:26:49.806530Z","submitted_at":"2022-10-27T16:05:54Z","title":"Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields","version":3},"cited_work":{"arxiv_id":"2210.15572","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.15572","snapshot_observed_at":"2026-08-16T12:09:46.407012Z","title":"Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields","venue":"math.NA","work_id":"f5b19c63-db2a-42ee-b43e-ede7fb33e91b","year":2022},"citing_paper":{"arxiv_id":"2504.13753","last_updated":"2025-04-18T15:36:34Z","snapshot_observed_at":"2026-08-18T16:33:09.862428Z","submitted_at":"2025-04-18T15:36:34Z","title":"Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:46.132089Z"},"links":{"cited_paper":"/paper/2210.15572","citing_paper":"/paper/2504.13753"},"observation_digest":"sha256:882c2ba506f3a9c14feac44ed949bd3ea4cfdc204d5415056160fb5f0751ef94","observation_id":"5cd9f2b0-e9ea-43f2-ae47-d36a116a06a7","resolution":{"observed_at":"2026-08-16T12:09:46.412480Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2210.15572/citation-record","integrity":"/paper/2210.15572/integrity","json":"/paper/2210.15572/citation-record.json","paper":"/paper/2210.15572"},"outbound":[],"paper":{"arxiv_id":"2210.15572","last_updated":"2025-01-06T09:07:35Z","latest_version":3,"primary_category":"math.NA","snapshot_observed_at":"2026-08-18T11:26:49.806530Z","submitted_at":"2022-10-27T16:05:54Z","title":"Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2210.15572."}