{"as_of":"2026-08-19T02:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2a6f33d6d573f78b3b81381457cdb7820aa50f5c70c37c4730d89366d8717c4d","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":"2026-08-18T06:34:40.430872+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":"2026-08-11T12:03:09.363803Z","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":"2026-05-12T05:51:26.705705Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.13322","last_updated":"2024-06-27T18:33:52Z","snapshot_observed_at":"2026-08-16T18:07:00.334583Z","submitted_at":"2024-05-22T03:40:06Z","title":"The Meyers-Serrin theorem on Riemannian manifolds: a survey","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13322","snapshot_observed_at":"2026-08-11T12:03:09.363803Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.363803Z"},"links":{"cited_paper":"/paper/2405.13322","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:c2716ad59ba752b9a1c26d6d085ec4ac27b711ffac06cd80cc0ef81b90634c28","observation_id":"c14fbbc4-3619-4054-9725-d477b70f948c","resolution":{"observed_at":"2026-08-11T12:03:09.363803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.13322","last_updated":"2024-06-27T18:33:52Z","snapshot_observed_at":"2026-08-16T18:07:00.334583Z","submitted_at":"2024-05-22T03:40:06Z","title":"The Meyers-Serrin theorem on Riemannian manifolds: a survey","version":2},"cited_work":{"arxiv_id":"2405.13322","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.13322","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2405.13322 , year=","venue":null,"work_id":"e5058c8d-5955-46ae-a151-72a218df6bbf","year":null},"citing_paper":{"arxiv_id":"2605.10520","last_updated":"2026-05-11T13:08:16Z","snapshot_observed_at":"2026-08-17T14:32:16.518849Z","submitted_at":"2026-05-11T13:08:16Z","title":"Equivariant Observer Design on SL(3) for Image Intensity-Based Homography Estimation","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-12T04:51:27.247943Z"},"links":{"cited_paper":"/paper/2405.13322","citing_paper":"/paper/2605.10520"},"observation_digest":"sha256:8408454faa4711c3ec88680082e91cce534cdbbde2de40545d0f38781c547d59","observation_id":"a43c1a18-2553-4155-80ff-84fcd088a6fa","resolution":{"observed_at":"2026-05-12T05:51:26.710506Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.13322/citation-record","integrity":"/paper/2405.13322/integrity","json":"/paper/2405.13322/citation-record.json","paper":"/paper/2405.13322"},"outbound":[],"paper":{"arxiv_id":"2405.13322","last_updated":"2024-06-27T18:33:52Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T18:07:00.334583Z","submitted_at":"2024-05-22T03:40:06Z","title":"The Meyers-Serrin theorem on Riemannian manifolds: a survey"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.13322."}