{"as_of":"2026-08-09T08:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d43c5da29fef1fe011da17091d3ee2a22879ff006771d2e349338a0c45e1838","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":"2026-08-09T06:31:02.800959+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":"2026-06-30T12:27:22.148152Z","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":"2026-06-30T12:34:38.955934Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2005.04936","last_updated":"2020-05-11T09:04:02Z","snapshot_observed_at":"2026-08-09T06:38:11.721825Z","submitted_at":"2020-05-11T09:04:02Z","title":"$L^p$-$L^q$ boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations","version":1},"cited_work":{"arxiv_id":"2005.04936","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2005.04936","snapshot_observed_at":"2026-06-30T12:34:38.955934Z","title":"[8]Chatzakou, M., and Kumar, V.L p-Lq boundedness of Fourier multipliers associated with the anharmonic oscillator.J","venue":null,"work_id":"96cc53bf-8904-4bd3-89a4-75de1c0295dc","year":2005},"citing_paper":{"arxiv_id":"2605.24574","last_updated":"2026-06-02T06:11:45Z","snapshot_observed_at":"2026-07-06T23:34:38.098785Z","submitted_at":"2026-05-23T13:29:29Z","title":"Boundedness of Fourier Multipliers and Applications to Nonlinear PDEs for the Strichartz Fourier Transform on the Heisenberg Group","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-30T12:27:22.148152Z"},"links":{"cited_paper":"/paper/2005.04936","citing_paper":"/paper/2605.24574"},"observation_digest":"sha256:1eae4c4b6bb2c7bdcb8ed3ed5b91e2cc19eede3060bd600b53616ebfe1867053","observation_id":"51ee4937-babf-4358-be20-db13b3e7fead","resolution":{"observed_at":"2026-06-30T12:34:38.957604Z","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/2005.04936/citation-record","integrity":"/paper/2005.04936/integrity","json":"/paper/2005.04936/citation-record.json","paper":"/paper/2005.04936"},"outbound":[],"paper":{"arxiv_id":"2005.04936","last_updated":"2020-05-11T09:04:02Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-09T06:38:11.721825Z","submitted_at":"2020-05-11T09:04:02Z","title":"$L^p$-$L^q$ boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations"},"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 1 inbound Pith citation observation for arXiv:2005.04936."}