{"as_of":"2026-08-18T01:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f410171e72e5a6b777c84cd9db3107b95dee8bb5785a0c3e74b74e91c7384ad9","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":"2026-08-17T06:30:58.91139+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":"2026-08-15T20:01:34.293718Z","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":"2026-08-15T17:28:49.905472Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.16141","last_updated":"2024-08-28T21:07:37Z","snapshot_observed_at":"2026-08-17T22:30:15.777767Z","submitted_at":"2024-08-28T21:07:37Z","title":"The Riesz $\\alpha$-energy of log-concave functions and related Minkowski problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.16141","snapshot_observed_at":"2026-08-15T20:01:34.293718Z","title":"http://arxiv.org/abs/2408.16141, (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.14735","last_updated":"2025-06-28T00:39:44Z","snapshot_observed_at":"2026-08-15T19:45:13.665997Z","submitted_at":"2025-06-17T17:17:48Z","title":"A Minkowski problem for $\\alpha$-concave functions via optimal transport","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T20:01:34.293718Z"},"links":{"cited_paper":"/paper/2408.16141","citing_paper":"/paper/2506.14735"},"observation_digest":"sha256:67553acf7d8beb9a3ed7d2f862b8cfc95fc0af8d76a286b8c7b7855ad51812a9","observation_id":"f02d848f-f384-49d1-bd9b-926d1c4818df","resolution":{"observed_at":"2026-08-15T20:01:34.293718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.16141","last_updated":"2024-08-28T21:07:37Z","snapshot_observed_at":"2026-08-17T22:30:15.777767Z","submitted_at":"2024-08-28T21:07:37Z","title":"The Riesz $\\alpha$-energy of log-concave functions and related Minkowski problem","version":1},"cited_work":{"arxiv_id":"2408.16141","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.16141","snapshot_observed_at":"2026-08-15T17:28:49.905472Z","title":"The Riesz $\\alpha$-energy of log-concave functions and related Minkowski problem","venue":"math.FA","work_id":"bc44160b-1323-4b76-b750-219139ecbccc","year":2024},"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":7,"source":"arxiv_source","source_observed_at":"2026-08-15T17:28:49.617550Z"},"links":{"cited_paper":"/paper/2408.16141","citing_paper":"/paper/2508.12028"},"observation_digest":"sha256:e34e0388a1dc2f6d30ad01539d4241e52889c004feaaa5911b8914267fa18ed4","observation_id":"881c254f-d00c-453d-9497-e69a01d0ef50","resolution":{"observed_at":"2026-08-15T17:28:49.910318Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.16141/citation-record","integrity":"/paper/2408.16141/integrity","json":"/paper/2408.16141/citation-record.json","paper":"/paper/2408.16141"},"outbound":[],"paper":{"arxiv_id":"2408.16141","last_updated":"2024-08-28T21:07:37Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-17T22:30:15.777767Z","submitted_at":"2024-08-28T21:07:37Z","title":"The Riesz $\\alpha$-energy of log-concave functions and related 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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.16141."}