{"as_of":"2026-08-18T04:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:356f5d9f9e8218ac657b640f8b54a1e317ac5d605c8b7b5a2677e9dacddc2fde","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":"2026-08-17T06:30:58.91139+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":"2026-08-15T16:55:28.416973Z","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":"2026-08-15T16:55:28.494868Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.00904","last_updated":"2022-01-03T23:02:39Z","snapshot_observed_at":"2026-08-16T17:30:29.457092Z","submitted_at":"2022-01-03T23:02:39Z","title":"Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions","version":1},"cited_work":{"arxiv_id":"2201.00904","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.00904","snapshot_observed_at":"2026-08-15T16:55:28.494868Z","title":"Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions","venue":"math.NA","work_id":"c57f18a0-bd2f-4c79-a1e5-fe0c2a2a44c9","year":2022},"citing_paper":{"arxiv_id":"2508.20288","last_updated":"2025-08-27T21:46:01Z","snapshot_observed_at":"2026-08-17T12:53:09.931949Z","submitted_at":"2025-08-27T21:46:01Z","title":"Neural Spline Operators for Risk Quantification in Stochastic Systems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T16:55:28.416973Z"},"links":{"cited_paper":"/paper/2201.00904","citing_paper":"/paper/2508.20288"},"observation_digest":"sha256:c7e314b9cbd868c5fd91a7e009e1f5ee1ac84f5f87f1d654e0338664c956fecb","observation_id":"1b151b7e-ccaf-4fe3-a962-43418bf97608","resolution":{"observed_at":"2026-08-15T16:55:28.500980Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2201.00904/citation-record","integrity":"/paper/2201.00904/integrity","json":"/paper/2201.00904/citation-record.json","paper":"/paper/2201.00904"},"outbound":[],"paper":{"arxiv_id":"2201.00904","last_updated":"2022-01-03T23:02:39Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T17:30:29.457092Z","submitted_at":"2022-01-03T23:02:39Z","title":"Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2201.00904."}