{"as_of":"2026-08-08T13:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:edf56d2d19aa7524f6f326eb793d3449b361bcc3e16be67429a14c08171facde","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:24:15.011884Z","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":"2026-07-03T12:38:07.234942Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2203.13212","last_updated":"2022-10-10T23:43:42Z","snapshot_observed_at":"2026-07-06T12:52:05.424523Z","submitted_at":"2022-03-24T17:09:56Z","title":"The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13212","snapshot_observed_at":"2026-08-06T15:24:15.011884Z","title":"Yuan, The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics, https://arxiv.org/abs/2203.13212, (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.16383","last_updated":"2025-07-22T09:26:25Z","snapshot_observed_at":"2026-08-06T15:08:25.232207Z","submitted_at":"2025-07-22T09:26:25Z","title":"The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T15:24:15.011884Z"},"links":{"cited_paper":"/paper/2203.13212","citing_paper":"/paper/2507.16383"},"observation_digest":"sha256:a3b31bf9826009cb4fb1e157811457deb724dc3fb80b5951210fc0873dd3cf72","observation_id":"e93d4aee-4739-4a08-a69f-8946903a37b6","resolution":{"observed_at":"2026-08-06T15:24:15.011884Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13212","last_updated":"2022-10-10T23:43:42Z","snapshot_observed_at":"2026-07-06T12:52:05.424523Z","submitted_at":"2022-03-24T17:09:56Z","title":"The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13212","snapshot_observed_at":"2026-08-06T15:22:24.187301Z","title":"Yuan, The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics, https://arxiv.org/abs/2203.13212, (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.16394","last_updated":"2025-07-22T09:38:29Z","snapshot_observed_at":"2026-08-06T15:08:10.617114Z","submitted_at":"2025-07-22T09:38:29Z","title":"The $\\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k=\\frac{n}{2}$ and beyond","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T15:22:24.187301Z"},"links":{"cited_paper":"/paper/2203.13212","citing_paper":"/paper/2507.16394"},"observation_digest":"sha256:8119bee11ac3c952495a00b66c2532331074d9ef5f2fa9f24be76ae99bca8851","observation_id":"cbb6ca64-2928-4d47-b255-197841bc29bf","resolution":{"observed_at":"2026-08-06T15:22:24.187301Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13212","last_updated":"2022-10-10T23:43:42Z","snapshot_observed_at":"2026-07-06T12:52:05.424523Z","submitted_at":"2022-03-24T17:09:56Z","title":"The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics","version":3},"cited_work":{"arxiv_id":"2203.13212","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13212","snapshot_observed_at":"2026-07-03T12:38:07.234942Z","title":"The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics.arXiv:2203.13212, 2022","venue":null,"work_id":"f29c6325-d885-41c4-b983-52e240b974e6","year":2022},"citing_paper":{"arxiv_id":"2606.12193","last_updated":"2026-06-10T15:16:36Z","snapshot_observed_at":"2026-07-06T23:51:07.629939Z","submitted_at":"2026-06-10T15:16:36Z","title":"On a continuity method for Dirichlet problem of Hessian equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-27T08:56:17.633239Z"},"links":{"cited_paper":"/paper/2203.13212","citing_paper":"/paper/2606.12193"},"observation_digest":"sha256:ab985180e3a28a1f81575d94cc717541d5a008ae6d53d608572919f08cf01b0a","observation_id":"d0b286e4-0569-4e94-bfdc-d363e1287913","resolution":{"observed_at":"2026-07-03T12:38:07.236870Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2203.13212/citation-record","integrity":"/paper/2203.13212/integrity","json":"/paper/2203.13212/citation-record.json","paper":"/paper/2203.13212"},"outbound":[],"paper":{"arxiv_id":"2203.13212","last_updated":"2022-10-10T23:43:42Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T12:52:05.424523Z","submitted_at":"2022-03-24T17:09:56Z","title":"The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2203.13212."}