{"as_of":"2026-08-08T13:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:adb4498666495a6505965db6642afbc53f30a075c2c23ba126e7f7a3534dd88a","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T11:27:46.641634Z","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":"2026-08-07T11:27:46.791195Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.11255","last_updated":"2025-09-05T13:18:18Z","snapshot_observed_at":"2026-07-06T19:16:47.399069Z","submitted_at":"2024-09-17T15:04:06Z","title":"GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions","version":2},"cited_work":{"arxiv_id":"2409.11255","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.11255","snapshot_observed_at":"2026-08-07T11:27:46.791195Z","title":"GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions","venue":"math.NA","work_id":"29baaf5f-80da-432f-a106-58a3075c7385","year":2024},"citing_paper":{"arxiv_id":"2506.02663","last_updated":"2025-09-05T12:34:33Z","snapshot_observed_at":"2026-08-07T11:16:33.285874Z","submitted_at":"2025-06-03T09:14:13Z","title":"Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:27:46.641634Z"},"links":{"cited_paper":"/paper/2409.11255","citing_paper":"/paper/2506.02663"},"observation_digest":"sha256:b370076ed8d3a425f4bdcc097df07d4ea52fc87383f08b51859aa62a78599139","observation_id":"1881c803-5ad5-42f9-afcb-09bdaa2c9086","resolution":{"observed_at":"2026-08-07T11:27:46.796593Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.11255/citation-record","integrity":"/paper/2409.11255/integrity","json":"/paper/2409.11255/citation-record.json","paper":"/paper/2409.11255"},"outbound":[],"paper":{"arxiv_id":"2409.11255","last_updated":"2025-09-05T13:18:18Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-07-06T19:16:47.399069Z","submitted_at":"2024-09-17T15:04:06Z","title":"GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2409.11255."}