{"as_of":"2026-08-21T06:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:68a05b6d0c7b7426de1e4b7b6b3910f3fb2da4c793c96de6ae8bd7e0e6a839f5","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T01:13:24.816786Z","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":"2026-08-07T11:49:42.510833Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.04330","last_updated":"2024-06-03T17:56:08Z","snapshot_observed_at":"2026-08-16T13:54:40.643661Z","submitted_at":"2024-05-07T13:58:57Z","title":"How to reveal the rank of a matrix?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.04330","snapshot_observed_at":"2026-08-10T01:13:24.816786Z","title":"Damle, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.18035","last_updated":"2025-01-29T22:50:51Z","snapshot_observed_at":"2026-08-20T20:29:02.792359Z","submitted_at":"2025-01-29T22:50:51Z","title":"Collect, Commit, Expand: Efficient CPQR-Based Column Selection for Extremely Wide Matrices","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T01:13:24.816786Z"},"links":{"cited_paper":"/paper/2405.04330","citing_paper":"/paper/2501.18035"},"observation_digest":"sha256:75c62e99b51893767a23f922dafa8d922be1b7dac17db2d51136111ed97168fc","observation_id":"bb285efa-9072-4ee5-baf2-a9fa69ba0250","resolution":{"observed_at":"2026-08-10T01:13:24.816786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.04330","last_updated":"2024-06-03T17:56:08Z","snapshot_observed_at":"2026-08-16T13:54:40.643661Z","submitted_at":"2024-05-07T13:58:57Z","title":"How to reveal the rank of a matrix?","version":2},"cited_work":{"arxiv_id":"2405.04330","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.04330","snapshot_observed_at":"2026-08-07T11:49:42.510833Z","title":"How to reveal the rank of a matrix?","venue":"math.NA","work_id":"a7cd6bff-d397-4f74-bc5c-83c9eef491c7","year":2024},"citing_paper":{"arxiv_id":"2506.01574","last_updated":"2025-06-20T11:09:18Z","snapshot_observed_at":"2026-08-16T07:55:45.576307Z","submitted_at":"2025-06-02T11:59:51Z","title":"Maximum volume coordinates for Grassmann interpolation: Lagrange, Hermite, and errors","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T11:49:39.025097Z"},"links":{"cited_paper":"/paper/2405.04330","citing_paper":"/paper/2506.01574"},"observation_digest":"sha256:824e24af6c3e652d3e9b23229939b7f04975017f0a2ced4f488100028834a086","observation_id":"56ba872a-6e11-45b0-9f35-3e5eb328f6d1","resolution":{"observed_at":"2026-08-07T11:49:42.549432Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.04330/citation-record","integrity":"/paper/2405.04330/integrity","json":"/paper/2405.04330/citation-record.json","paper":"/paper/2405.04330"},"outbound":[],"paper":{"arxiv_id":"2405.04330","last_updated":"2024-06-03T17:56:08Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T13:54:40.643661Z","submitted_at":"2024-05-07T13:58:57Z","title":"How to reveal the rank of a matrix?"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.04330."}