{"as_of":"2026-08-05T20:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cf85293224a6e16aec652e68ba2ef022259092cf8d88711089050541798a1945","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":"2026-08-05T06:32:48.257954+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":"2026-07-10T03:05:36.937714Z","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":"2026-07-10T03:06:43.570996Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.01456","last_updated":"2025-08-29T21:25:24Z","snapshot_observed_at":"2026-07-06T22:06:52.899807Z","submitted_at":"2025-08-02T18:14:27Z","title":"Singular values of sparse random rectangular matrices: Emergence of outliers at criticality","version":2},"cited_work":{"arxiv_id":"2508.01456","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.01456","snapshot_observed_at":"2026-07-10T03:06:43.570996Z","title":"Singular values of sparse random rectangular matrices: Emergence of outliers at criticality","venue":"math.PR","work_id":"794d0d88-cf16-4b42-9dc7-92f3146d5c9f","year":2025},"citing_paper":{"arxiv_id":"2607.08696","last_updated":"2026-07-09T16:53:19Z","snapshot_observed_at":"2026-08-03T01:58:07.656012Z","submitted_at":"2026-07-09T16:53:19Z","title":"Spectrum of Directed Inhomogeneous Random Graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T03:05:36.937714Z"},"links":{"cited_paper":"/paper/2508.01456","citing_paper":"/paper/2607.08696"},"observation_digest":"sha256:e8caed450107a111b40ef22fcd8adeef3883361f9cff533a1cb5b9b207b880c3","observation_id":"e71e70c3-029d-4d50-90ca-ca76e4faaef3","resolution":{"observed_at":"2026-07-10T03:06:43.572257Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.01456/citation-record","integrity":"/paper/2508.01456/integrity","json":"/paper/2508.01456/citation-record.json","paper":"/paper/2508.01456"},"outbound":[],"paper":{"arxiv_id":"2508.01456","last_updated":"2025-08-29T21:25:24Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T22:06:52.899807Z","submitted_at":"2025-08-02T18:14:27Z","title":"Singular values of sparse random rectangular matrices: Emergence of outliers at criticality"},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2508.01456."}