{"as_of":"2026-08-11T03:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:84a5f6d9714a88814206c2dad576c5bcc76f46ad2420ee084d2ad24f73c6550d","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":"2026-08-10T06:31:04.303077+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":"2026-06-27T08:53:30.843566Z","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":"2026-07-03T12:38:07.953067Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.00641","last_updated":"2024-12-19T14:55:01Z","snapshot_observed_at":"2026-08-11T00:48:05.794165Z","submitted_at":"2024-03-31T10:52:39Z","title":"Polynomial Bogolyubov for special linear groups via tensor rank","version":2},"cited_work":{"arxiv_id":"2404.00641","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.00641","snapshot_observed_at":"2026-07-03T12:38:07.953067Z","title":"Polynomial Bogolyubov for special linear groups via tensor rank.arXiv e-prints, page arXiv:2404.00641, March","venue":null,"work_id":"939d66c5-cda4-41a6-a47f-656ed2591189","year":null},"citing_paper":{"arxiv_id":"2605.02698","last_updated":"2026-05-04T15:10:08Z","snapshot_observed_at":"2026-08-02T15:04:56.461690Z","submitted_at":"2026-05-04T15:10:08Z","title":"Structure of $t$-Intersecting Families of Vector Spaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-08T18:26:55.341057Z"},"links":{"cited_paper":"/paper/2404.00641","citing_paper":"/paper/2605.02698"},"observation_digest":"sha256:b11aded35b7c1b943cace39b00693b96cf0032f6c247220423c86096aebab39b","observation_id":"936ec5ad-3f5f-4641-94fa-ff66f2461854","resolution":{"observed_at":"2026-05-09T06:25:47.897581Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.00641","last_updated":"2024-12-19T14:55:01Z","snapshot_observed_at":"2026-08-11T00:48:05.794165Z","submitted_at":"2024-03-31T10:52:39Z","title":"Polynomial Bogolyubov for special linear groups via tensor rank","version":2},"cited_work":{"arxiv_id":"2404.00641","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.00641","snapshot_observed_at":"2026-07-03T12:38:07.953067Z","title":"Polynomial Bogolyubov for special linear groups via tensor rank.arXiv e-prints, page arXiv:2404.00641, March","venue":null,"work_id":"939d66c5-cda4-41a6-a47f-656ed2591189","year":null},"citing_paper":{"arxiv_id":"2606.12380","last_updated":"2026-06-10T17:43:13Z","snapshot_observed_at":"2026-08-04T13:44:30.917005Z","submitted_at":"2026-06-10T17:43:13Z","title":"Forbidden Intersection Theorems for Matrix Spaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T08:53:30.843566Z"},"links":{"cited_paper":"/paper/2404.00641","citing_paper":"/paper/2606.12380"},"observation_digest":"sha256:0f7c1af14e57ba034f1a2ce10119650f67ab3a0a4245b9de4d8ee616a7bc4c85","observation_id":"941dbc68-1b11-427e-bc72-35cc2735b77b","resolution":{"observed_at":"2026-07-03T12:38:07.954547Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.00641/citation-record","integrity":"/paper/2404.00641/integrity","json":"/paper/2404.00641/citation-record.json","paper":"/paper/2404.00641"},"outbound":[],"paper":{"arxiv_id":"2404.00641","last_updated":"2024-12-19T14:55:01Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-11T00:48:05.794165Z","submitted_at":"2024-03-31T10:52:39Z","title":"Polynomial Bogolyubov for special linear groups via tensor rank"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.00641."}