{"as_of":"2026-08-18T22:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fecc4554db987788ad18ed334acbec26fcd6acc8c37d61cc082e70329d79f2ed","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":"2026-08-18T06:34:40.430872+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":"2026-08-11T13:01:45.787950Z","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":"2026-05-23T23:03:34.449527Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.08427","last_updated":"2024-08-23T19:08:07Z","snapshot_observed_at":"2026-08-18T20:11:58.363658Z","submitted_at":"2024-01-16T15:11:49Z","title":"The generalized Gaussian log-Minkowski problem","version":5},"cited_work":{"arxiv_id":"2401.08427","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.08427","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The Gaussian log-Minkowski problem","venue":null,"work_id":"55144b59-a845-4041-bd36-37ca0e68a6c8","year":2024},"citing_paper":{"arxiv_id":"2407.20064","last_updated":"2026-04-04T14:35:24Z","snapshot_observed_at":"2026-07-06T18:53:22.585501Z","submitted_at":"2024-07-29T14:48:53Z","title":"The Weighted $L^p$ Minkowski Problem","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-23T23:02:06.050589Z"},"links":{"cited_paper":"/paper/2401.08427","citing_paper":"/paper/2407.20064"},"observation_digest":"sha256:c2467f50b2e986749c3e7f6ccfd70312f7875e4bed43a755df40815737e8df00","observation_id":"a16cea71-d697-41ab-ad24-e231bb318329","resolution":{"observed_at":"2026-05-23T23:03:34.453073Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2401.08427","last_updated":"2024-08-23T19:08:07Z","snapshot_observed_at":"2026-08-18T20:11:58.363658Z","submitted_at":"2024-01-16T15:11:49Z","title":"The generalized Gaussian log-Minkowski problem","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.08427","snapshot_observed_at":"2026-08-11T13:01:45.787950Z","title":null,"venue":null,"work_id":null,"year":2024},"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":29,"source":"pdf_text","source_observed_at":"2026-08-11T13:01:45.787950Z"},"links":{"cited_paper":"/paper/2401.08427","citing_paper":"/paper/2412.13651"},"observation_digest":"sha256:efdc2b7ce09e9cc103fd8ced7acf5776c335f414be102fc027a90933a841bcee","observation_id":"191798e2-6b48-437e-8751-c6e713c51dbd","resolution":{"observed_at":"2026-08-11T13:01:45.787950Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.08427","last_updated":"2024-08-23T19:08:07Z","snapshot_observed_at":"2026-08-18T20:11:58.363658Z","submitted_at":"2024-01-16T15:11:49Z","title":"The generalized Gaussian log-Minkowski problem","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.08427","snapshot_observed_at":"2026-08-10T13:29:40.766131Z","title":"Hu, The Gaussian log-Minkowski problem , (2024), arXiv:2401.08427v4","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.16449","last_updated":"2025-04-09T06:40:46Z","snapshot_observed_at":"2026-08-13T15:27:50.446139Z","submitted_at":"2025-01-27T19:14:05Z","title":"The Gaussian Minkowski-type problems for $C$-pseudo-cones","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T13:29:40.766131Z"},"links":{"cited_paper":"/paper/2401.08427","citing_paper":"/paper/2501.16449"},"observation_digest":"sha256:3006782a32d5f382c4e4a228ab6aed06b62ba09ae7315eabed9f5174ab340515","observation_id":"d2411653-f338-4b10-b63f-dcecdfe594c8","resolution":{"observed_at":"2026-08-10T13:29:40.766131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.08427/citation-record","integrity":"/paper/2401.08427/integrity","json":"/paper/2401.08427/citation-record.json","paper":"/paper/2401.08427"},"outbound":[],"paper":{"arxiv_id":"2401.08427","last_updated":"2024-08-23T19:08:07Z","latest_version":5,"primary_category":"math.MG","snapshot_observed_at":"2026-08-18T20:11:58.363658Z","submitted_at":"2024-01-16T15:11:49Z","title":"The generalized Gaussian log-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 3 inbound Pith citation observations for arXiv:2401.08427."}