{"as_of":"2026-08-18T14:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e23c76351f2fc19ab57aac59c9a865a456da3c9c0b767e76eae5b42350e5825f","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":"2026-08-18T06:34:40.430872+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":"2026-08-15T17:28:49.767299Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T19:27:59.690473Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.01822","last_updated":"2022-12-04T13:55:56Z","snapshot_observed_at":"2026-08-16T16:11:10.598416Z","submitted_at":"2022-12-04T13:55:56Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.01822","snapshot_observed_at":"2026-08-11T13:50:36.121329Z","title":"Sheng and K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.12851","last_updated":"2025-05-20T19:45:13Z","snapshot_observed_at":"2026-08-11T13:37:58.814786Z","submitted_at":"2024-12-17T12:25:39Z","title":"Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T13:50:36.121329Z"},"links":{"cited_paper":"/paper/2212.01822","citing_paper":"/paper/2412.12851"},"observation_digest":"sha256:6d8004c0293c5d45ddfdcd14f4cf71ef212d9267dd138051b533cc16921159b5","observation_id":"c06930e9-6e4d-44e6-83ea-7125482d83d9","resolution":{"observed_at":"2026-08-11T13:50:36.121329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.01822","last_updated":"2022-12-04T13:55:56Z","snapshot_observed_at":"2026-08-16T16:11:10.598416Z","submitted_at":"2022-12-04T13:55:56Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.01822","snapshot_observed_at":"2026-08-11T13:01:45.871670Z","title":"Sheng and K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13651","last_updated":"2024-12-18T09:30:46Z","snapshot_observed_at":"2026-08-11T12:53:43.486156Z","submitted_at":"2024-12-18T09:30:46Z","title":"The even Lp Gaussian dual Minkowski problem","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T13:01:45.871670Z"},"links":{"cited_paper":"/paper/2212.01822","citing_paper":"/paper/2412.13651"},"observation_digest":"sha256:314d541e491086e7ca1cd771904f2ebfc655717eb9afa2ac9153c7d4535616d0","observation_id":"d947fc7f-4c51-4f70-8f17-85da3ac59b0d","resolution":{"observed_at":"2026-08-11T13:01:45.871670Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.01822","last_updated":"2022-12-04T13:55:56Z","snapshot_observed_at":"2026-08-16T16:11:10.598416Z","submitted_at":"2022-12-04T13:55:56Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem","version":1},"cited_work":{"arxiv_id":"2212.01822","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.01822","snapshot_observed_at":"2026-08-08T19:27:59.690473Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem","venue":"math.DG","work_id":"5d4cc432-eeec-49db-9244-caafe6b55f04","year":2022},"citing_paper":{"arxiv_id":"2502.05427","last_updated":"2025-02-08T03:31:38Z","snapshot_observed_at":"2026-08-11T10:13:39.337895Z","submitted_at":"2025-02-08T03:31:38Z","title":"Minkowski Problems for Geometric Measures","version":1},"reference_index":205,"source":"pdf_text","source_observed_at":"2026-08-08T19:27:59.522083Z"},"links":{"cited_paper":"/paper/2212.01822","citing_paper":"/paper/2502.05427"},"observation_digest":"sha256:b029a288d30e171810141fc0b4005e035de0db77cebaa49bc01001fbd43f788a","observation_id":"b914fc10-ad74-423f-8d4a-0420a0472556","resolution":{"observed_at":"2026-08-08T19:27:59.694777Z","resolver_source":"local_arxiv","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"}},{"citation":{"cited_paper":{"arxiv_id":"2212.01822","last_updated":"2022-12-04T13:55:56Z","snapshot_observed_at":"2026-08-16T16:11:10.598416Z","submitted_at":"2022-12-04T13:55:56Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.01822","snapshot_observed_at":"2026-08-15T17:28:49.767299Z","title":"Sheng, K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.12028","last_updated":"2025-08-16T12:30:33Z","snapshot_observed_at":"2026-08-15T17:23:39.094632Z","submitted_at":"2025-08-16T12:30:33Z","title":"The Gaussian Minkowski problem for epigraphs of convex functions","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-15T17:28:49.767299Z"},"links":{"cited_paper":"/paper/2212.01822","citing_paper":"/paper/2508.12028"},"observation_digest":"sha256:23f8c6dab7cf987288400b03f041bece0f63cf621eb3d41734a181b17870a6e4","observation_id":"342c0a74-bf79-4c02-9a16-d1a659ba89c4","resolution":{"observed_at":"2026-08-15T17:28:49.767299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2212.01822/citation-record","integrity":"/paper/2212.01822/integrity","json":"/paper/2212.01822/citation-record.json","paper":"/paper/2212.01822"},"outbound":[],"paper":{"arxiv_id":"2212.01822","last_updated":"2022-12-04T13:55:56Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T16:11:10.598416Z","submitted_at":"2022-12-04T13:55:56Z","title":"Flow by Gauss curvature to the $L_p$-Gaussian Minkowski problem"},"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 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2212.01822."}