{"as_of":"2026-08-17T03:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b009a1ab95b7f3127f0732d0c502a4d9d3a81f0f3c524c68b7f5bca76f7dcbc6","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:41:50.538539Z","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":"2026-05-11T18:16:11.320911Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.03412","last_updated":"2024-11-05T18:54:30Z","snapshot_observed_at":"2026-08-16T13:02:39.594846Z","submitted_at":"2024-11-05T18:54:30Z","title":"Uniform stability of ranks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03412","snapshot_observed_at":"2026-08-15T19:41:50.538539Z","title":"Moshkovitz and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.16132","last_updated":"2025-06-19T08:33:24Z","snapshot_observed_at":"2026-08-15T19:26:17.428791Z","submitted_at":"2025-06-19T08:33:24Z","title":"Bounds for Geometric rank in Terms of Subrank","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T19:41:50.538539Z"},"links":{"cited_paper":"/paper/2411.03412","citing_paper":"/paper/2506.16132"},"observation_digest":"sha256:ec75547dbcef4fe25c5eaac48c064527e3a445c2ab0bf0b977b49a9047e8c0ca","observation_id":"431e2019-7a75-499f-b7e0-4821cae1ad8c","resolution":{"observed_at":"2026-08-15T19:41:50.538539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03412","last_updated":"2024-11-05T18:54:30Z","snapshot_observed_at":"2026-08-16T13:02:39.594846Z","submitted_at":"2024-11-05T18:54:30Z","title":"Uniform stability of ranks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03412","snapshot_observed_at":"2026-08-05T00:08:34.044177Z","title":"Moshkovitz and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06294","last_updated":"2025-09-08T02:35:50Z","snapshot_observed_at":"2026-08-09T19:13:50.869607Z","submitted_at":"2025-09-08T02:35:50Z","title":"Slice rank and partition rank of the determinant","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T00:08:34.044177Z"},"links":{"cited_paper":"/paper/2411.03412","citing_paper":"/paper/2509.06294"},"observation_digest":"sha256:88213b8c10bbf658336bafb122f811eb8cc9a2f102b8f62605ddc5eaeb51b008","observation_id":"45cfd270-6a3b-47a9-a8b1-9c4fbe119fb7","resolution":{"observed_at":"2026-08-05T00:08:34.044177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03412","last_updated":"2024-11-05T18:54:30Z","snapshot_observed_at":"2026-08-16T13:02:39.594846Z","submitted_at":"2024-11-05T18:54:30Z","title":"Uniform stability of ranks","version":1},"cited_work":{"arxiv_id":"2411.03412","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.03412","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Moshkovitz and D","venue":null,"work_id":"4c5291bc-6134-49a0-8150-2373c79f5bd2","year":2024},"citing_paper":{"arxiv_id":"2605.04859","last_updated":"2026-05-06T12:56:05Z","snapshot_observed_at":"2026-07-06T23:17:33.252539Z","submitted_at":"2026-05-06T12:56:05Z","title":"Geometry of multilinear varieties over infinite fields and its applications","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-08T16:21:39.361676Z"},"links":{"cited_paper":"/paper/2411.03412","citing_paper":"/paper/2605.04859"},"observation_digest":"sha256:fe141c1d8789601b391c9d3258cba6700fd754fff3e910a645fcfcf230036406","observation_id":"8d0714ae-b78b-4b46-858d-246a154d61ef","resolution":{"observed_at":"2026-05-11T18:16:11.323615Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03412","last_updated":"2024-11-05T18:54:30Z","snapshot_observed_at":"2026-08-16T13:02:39.594846Z","submitted_at":"2024-11-05T18:54:30Z","title":"Uniform stability of ranks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03412","snapshot_observed_at":"2026-08-15T15:49:37.033850Z","title":"Moshkovitz and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21015","last_updated":"2026-07-23T07:58:01Z","snapshot_observed_at":"2026-08-15T15:27:56.651876Z","submitted_at":"2026-07-23T07:58:01Z","title":"Lower bounds on the strength of the determinant","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T15:49:37.033850Z"},"links":{"cited_paper":"/paper/2411.03412","citing_paper":"/paper/2607.21015"},"observation_digest":"sha256:13c7033d5bcef5cceebc7e53ca2b66a4b6a3355053af0104a4b6909b8bbe67c5","observation_id":"a25e082b-6ff1-4d63-9212-d569856200d2","resolution":{"observed_at":"2026-08-15T15:49:37.033850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.03412/citation-record","integrity":"/paper/2411.03412/integrity","json":"/paper/2411.03412/citation-record.json","paper":"/paper/2411.03412"},"outbound":[],"paper":{"arxiv_id":"2411.03412","last_updated":"2024-11-05T18:54:30Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T13:02:39.594846Z","submitted_at":"2024-11-05T18:54:30Z","title":"Uniform stability of ranks"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2411.03412."}