{"as_of":"2026-08-18T06:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4267f72ff8e0fcb477c8464490024c410b4332f411105e18ffe2eb613cc2e730","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":"2026-08-18T06:34:40.430872+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":"2026-08-11T05:23:38.434511Z","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":"2026-08-11T05:23:38.482110Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.00015","last_updated":"2025-07-25T17:46:00Z","snapshot_observed_at":"2026-08-17T05:42:15.198307Z","submitted_at":"2023-10-29T01:27:44Z","title":"On the $\\ell_0$ Isoperimetric Coefficient of Measurable Sets","version":3},"cited_work":{"arxiv_id":"2312.00015","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.00015","snapshot_observed_at":"2026-08-11T05:23:38.482110Z","title":"On the $\\ell_0$ Isoperimetric Coefficient of Measurable Sets","venue":"math.MG","work_id":"652bb01d-45ef-449f-a4dd-8156f2e2e3e4","year":2023},"citing_paper":{"arxiv_id":"2412.17899","last_updated":"2024-12-23T19:00:02Z","snapshot_observed_at":"2026-08-11T09:16:29.493864Z","submitted_at":"2024-12-23T19:00:02Z","title":"A mixing time bound for Gibbs sampling from log-smooth log-concave distributions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T05:23:38.434511Z"},"links":{"cited_paper":"/paper/2312.00015","citing_paper":"/paper/2412.17899"},"observation_digest":"sha256:2e5bb4c0d612590d040b78049a19990d68dd41e22016a7cbceaa0e9d97bff4f1","observation_id":"43587940-9e07-4c05-8ce9-a186ab8967b0","resolution":{"observed_at":"2026-08-11T05:23:38.489195Z","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":"2312.00015","last_updated":"2025-07-25T17:46:00Z","snapshot_observed_at":"2026-08-17T05:42:15.198307Z","submitted_at":"2023-10-29T01:27:44Z","title":"On the $\\ell_0$ Isoperimetric Coefficient of Measurable Sets","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00015","snapshot_observed_at":"2026-08-02T03:26:29.592725Z","title":"On the _0 isoperimetric coefficient of measurable sets , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13943","last_updated":"2026-07-15T15:29:25Z","snapshot_observed_at":"2026-08-15T22:16:09.324675Z","submitted_at":"2026-07-15T15:29:25Z","title":"Beyond the $d^{2.5}$-mixing bound for Dikin walks on polytopes","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-02T03:26:29.592725Z"},"links":{"cited_paper":"/paper/2312.00015","citing_paper":"/paper/2607.13943"},"observation_digest":"sha256:ede2e48e5ee8563a6c92a887d26bea5c8c88b5b6429ba560414b77a203b5ada2","observation_id":"8e504b20-15fd-4aed-bdf2-33ca4eecd08b","resolution":{"observed_at":"2026-08-02T03:26:29.592725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2312.00015/citation-record","integrity":"/paper/2312.00015/integrity","json":"/paper/2312.00015/citation-record.json","paper":"/paper/2312.00015"},"outbound":[],"paper":{"arxiv_id":"2312.00015","last_updated":"2025-07-25T17:46:00Z","latest_version":3,"primary_category":"math.MG","snapshot_observed_at":"2026-08-17T05:42:15.198307Z","submitted_at":"2023-10-29T01:27:44Z","title":"On the $\\ell_0$ Isoperimetric Coefficient of Measurable Sets"},"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 2 inbound Pith citation observations for arXiv:2312.00015."}