{"as_of":"2026-08-22T08:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1f456885fcc113d2c2aadc374beb8f1d66f881a67fcb51bd88f6fef6b846bda7","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":"2026-08-22T06:32:14.747728+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":"2026-08-05T10:20:08.515801Z","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":"2026-08-05T10:20:08.638213Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.10923","last_updated":"2024-05-22T21:52:25Z","snapshot_observed_at":"2026-08-16T13:51:48.016336Z","submitted_at":"2024-05-17T17:22:14Z","title":"Randomized Householder QR","version":2},"cited_work":{"arxiv_id":"2405.10923","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.10923","snapshot_observed_at":"2026-08-05T10:20:08.638213Z","title":"Randomized Householder QR","venue":"math.NA","work_id":"281fab80-bdab-4752-971b-6c516e5d88bb","year":2024},"citing_paper":{"arxiv_id":"2509.04386","last_updated":"2025-09-04T16:49:50Z","snapshot_observed_at":"2026-08-11T05:45:31.038338Z","submitted_at":"2025-09-04T16:49:50Z","title":"Randomized biorthogonalization through a two-sided Gram-Schmidt process","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T10:20:08.515801Z"},"links":{"cited_paper":"/paper/2405.10923","citing_paper":"/paper/2509.04386"},"observation_digest":"sha256:6d07e96a98720cafd9c06dcd73a47345c67be4c27a991f2109171485acb145a6","observation_id":"c1b2523b-4868-472a-be04-9981a85dabdf","resolution":{"observed_at":"2026-08-05T10:20:08.643023Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.10923/citation-record","integrity":"/paper/2405.10923/integrity","json":"/paper/2405.10923/citation-record.json","paper":"/paper/2405.10923"},"outbound":[],"paper":{"arxiv_id":"2405.10923","last_updated":"2024-05-22T21:52:25Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T13:51:48.016336Z","submitted_at":"2024-05-17T17:22:14Z","title":"Randomized Householder QR"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2405.10923."}