{"as_of":"2026-08-13T01:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:57c840e13ca39d9b42263fdb61965ac216fd50e36e0a588fdb81bda5f0ff5011","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":"2026-08-12T06:34:41.77262+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":"2026-05-09T23:48:07.378394Z","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":"2026-05-11T14:01:04.424822Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2107.12839","last_updated":"2021-07-27T14:17:00Z","snapshot_observed_at":"2026-08-05T22:42:13.995197Z","submitted_at":"2021-07-27T14:17:00Z","title":"Lecture notes for pseudodifferential operators and microlocal analysis","version":1},"cited_work":{"arxiv_id":"2107.12839","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.12839","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ma,Lecture notes for pseudodifferential operators and microlocal analysis","venue":null,"work_id":"e2ad5ce3-9f01-48f5-b3a6-4a05030cb22f","year":2021},"citing_paper":{"arxiv_id":"2604.20187","last_updated":"2026-04-22T05:00:46Z","snapshot_observed_at":"2026-08-02T07:20:58.789898Z","submitted_at":"2026-04-22T05:00:46Z","title":"Quantitative Direct Sampling for Initial Acoustic Sources","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-09T23:48:07.378394Z"},"links":{"cited_paper":"/paper/2107.12839","citing_paper":"/paper/2604.20187"},"observation_digest":"sha256:8e3c9e255e9fa0b0d71755b7ccc063e1d81f2642444b42c4e2125cbfcb44b285","observation_id":"71425c9a-24a9-4863-85cd-10673589928c","resolution":{"observed_at":"2026-05-11T14:01:04.434288Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2107.12839/citation-record","integrity":"/paper/2107.12839/integrity","json":"/paper/2107.12839/citation-record.json","paper":"/paper/2107.12839"},"outbound":[],"paper":{"arxiv_id":"2107.12839","last_updated":"2021-07-27T14:17:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-05T22:42:13.995197Z","submitted_at":"2021-07-27T14:17:00Z","title":"Lecture notes for pseudodifferential operators and microlocal analysis"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2107.12839."}