{"as_of":"2026-08-21T21:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:99c3dacf202fa7a1ca5986b2f1d5c83bcbe46069d59c27c3298a67dde63d58c9","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:31:46.354760Z","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":"2026-08-06T19:31:46.425100Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2206.01591","last_updated":"2023-06-05T21:40:17Z","snapshot_observed_at":"2026-08-16T16:55:29.999439Z","submitted_at":"2022-06-03T14:21:21Z","title":"On binomial sums, additive energies, and lazy random walks","version":5},"cited_work":{"arxiv_id":"2206.01591","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.01591","snapshot_observed_at":"2026-08-06T19:31:46.425100Z","title":"On binomial sums, additive energies, and lazy random walks","venue":"math.CA","work_id":"bec2ccfa-ccab-42d0-bbb8-52afde1503ee","year":2022},"citing_paper":{"arxiv_id":"2507.06115","last_updated":"2025-07-08T15:58:18Z","snapshot_observed_at":"2026-08-06T19:08:22.043305Z","submitted_at":"2025-07-08T15:58:18Z","title":"Optimal Young's convolutions inequality and its reverse form on the hypercube","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T19:31:46.354760Z"},"links":{"cited_paper":"/paper/2206.01591","citing_paper":"/paper/2507.06115"},"observation_digest":"sha256:4353f7daf3ca7a5fb2b0254a9ea7923a9cddcf93286bacb85bc5305ad1e708c0","observation_id":"35d40614-5fd1-48be-b5f1-e8bc250144f4","resolution":{"observed_at":"2026-08-06T19:31:46.431443Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2206.01591/citation-record","integrity":"/paper/2206.01591/integrity","json":"/paper/2206.01591/citation-record.json","paper":"/paper/2206.01591"},"outbound":[],"paper":{"arxiv_id":"2206.01591","last_updated":"2023-06-05T21:40:17Z","latest_version":5,"primary_category":"math.CA","snapshot_observed_at":"2026-08-16T16:55:29.999439Z","submitted_at":"2022-06-03T14:21:21Z","title":"On binomial sums, additive energies, and lazy random walks"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2206.01591."}