{"as_of":"2026-08-15T02:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:88b13b493230cd5d3b48c655570f754cfe3c14ec40f9b82b6f69f5167e04cf62","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":"2026-08-14T06:32:32.682623+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":"2026-08-11T16:10:34.543455Z","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":"2026-05-23T20:33:25.952002Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.03988","last_updated":"2024-12-30T17:52:14Z","snapshot_observed_at":"2026-08-14T17:15:25.283156Z","submitted_at":"2023-09-07T19:43:32Z","title":"Worst-case analysis of restarted primal-dual hybrid gradient on totally unimodular linear programs","version":3},"cited_work":{"arxiv_id":"2309.03988","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.03988","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2309.03988","venue":null,"work_id":"ff83c7c7-3d2f-49a8-bada-1f507c7725bb","year":2023},"citing_paper":{"arxiv_id":"2410.04043","last_updated":"2026-07-03T21:50:23Z","snapshot_observed_at":"2026-08-12T22:30:15.416763Z","submitted_at":"2024-10-05T05:35:09Z","title":"Accessible Complexity Bounds for Restarted PDHG on Linear Programs with a Unique Optimizer","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-23T20:29:07.895240Z"},"links":{"cited_paper":"/paper/2309.03988","citing_paper":"/paper/2410.04043"},"observation_digest":"sha256:c786c65616bd71f4c5b1813ed0365221f34ef00a04e4e7902dbacee0ad436f7a","observation_id":"c812ac9a-4350-4300-ba68-62f58b7451e5","resolution":{"observed_at":"2026-05-23T20:33:25.954663Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.03988","last_updated":"2024-12-30T17:52:14Z","snapshot_observed_at":"2026-08-14T17:15:25.283156Z","submitted_at":"2023-09-07T19:43:32Z","title":"Worst-case analysis of restarted primal-dual hybrid gradient on totally unimodular linear programs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.03988","snapshot_observed_at":"2026-08-11T16:10:34.543455Z","title":"arXiv preprint arXiv:2309.03988 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.09513","last_updated":"2026-08-10T12:14:25Z","snapshot_observed_at":"2026-08-13T23:44:36.017224Z","submitted_at":"2026-08-10T12:14:25Z","title":"Faster Algorithms for Multimarginal Optimal Transport","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-11T16:10:34.543455Z"},"links":{"cited_paper":"/paper/2309.03988","citing_paper":"/paper/2608.09513"},"observation_digest":"sha256:18e9767071507b0a7f8318a60c9ebc05f074d31a793eac7dd4bfbca8cd758550","observation_id":"010c7f76-b172-446f-a4f7-f96e1856eb8d","resolution":{"observed_at":"2026-08-11T16:10:34.543455Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2309.03988/citation-record","integrity":"/paper/2309.03988/integrity","json":"/paper/2309.03988/citation-record.json","paper":"/paper/2309.03988"},"outbound":[],"paper":{"arxiv_id":"2309.03988","last_updated":"2024-12-30T17:52:14Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-08-14T17:15:25.283156Z","submitted_at":"2023-09-07T19:43:32Z","title":"Worst-case analysis of restarted primal-dual hybrid gradient on totally unimodular linear programs"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2309.03988."}