{"as_of":"2026-08-16T20:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:91f855d985d7ae3091f62b5b9a4181fba54dc706427e622354b7f5e30d941360","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T13:02:38.102338Z","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":"2026-05-24T20:54:54.535579Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1904.00808","last_updated":"2023-03-17T08:22:13Z","snapshot_observed_at":"2026-08-16T20:35:41.879024Z","submitted_at":"2019-04-01T12:57:59Z","title":"Cheeger's differentiation theorem via the multilinear Kakeya inequality","version":2},"cited_work":{"arxiv_id":"1904.00808","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.00808","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Che eger’s differentiation theorem via the mul- tilinear Kakeya inequality .arXiv e-prints, page arXiv:1904.00808, Apr 2019","venue":null,"work_id":"8aad3683-d4eb-43e2-be27-9a4a8473a93b","year":1904},"citing_paper":{"arxiv_id":"1907.06903","last_updated":"2019-07-16T09:12:06Z","snapshot_observed_at":"2026-08-02T20:24:55.607718Z","submitted_at":"2019-07-16T09:12:06Z","title":"Quantitative Alberti representations in spaces of bounded geometry","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T20:54:03.781962Z"},"links":{"cited_paper":"/paper/1904.00808","citing_paper":"/paper/1907.06903"},"observation_digest":"sha256:f003737fe0ef7c831948283f8eff9dbd5c29e1c5af92994909624b280b4e9bad","observation_id":"f867e275-5737-4270-89cc-b2cd71da58d8","resolution":{"observed_at":"2026-05-24T20:54:54.538735Z","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":"1904.00808","last_updated":"2023-03-17T08:22:13Z","snapshot_observed_at":"2026-08-16T20:35:41.879024Z","submitted_at":"2019-04-01T12:57:59Z","title":"Cheeger's differentiation theorem via the multilinear Kakeya inequality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.00808","snapshot_observed_at":"2026-08-14T13:02:38.102338Z","title":null,"venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"1908.06420","last_updated":"2020-09-09T12:04:41Z","snapshot_observed_at":"2026-08-16T13:18:24.581158Z","submitted_at":"2019-08-18T10:40:05Z","title":"Poincar\\'e Inequalities and Uniform Rectifiability","version":5},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T13:02:38.102338Z"},"links":{"cited_paper":"/paper/1904.00808","citing_paper":"/paper/1908.06420"},"observation_digest":"sha256:8d4510938ee238ccb40b8e339dd90eec5f97394b6a198b59a70802720add1f16","observation_id":"32a687ea-cc6f-4aaa-aa65-1a0f6ec794d7","resolution":{"observed_at":"2026-08-14T13:02:38.102338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1904.00808/citation-record","integrity":"/paper/1904.00808/integrity","json":"/paper/1904.00808/citation-record.json","paper":"/paper/1904.00808"},"outbound":[],"paper":{"arxiv_id":"1904.00808","last_updated":"2023-03-17T08:22:13Z","latest_version":2,"primary_category":"math.MG","snapshot_observed_at":"2026-08-16T20:35:41.879024Z","submitted_at":"2019-04-01T12:57:59Z","title":"Cheeger's differentiation theorem via the multilinear Kakeya inequality"},"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 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1904.00808."}