{"as_of":"2026-08-18T17:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:234e3ce3ecd96c9d637d0054cdac1ad713836f3f5ed0765569ac756c58f1ac27","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":"2026-08-18T06:34:40.430872+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":"2026-07-09T16:09:53.719855Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.01891","last_updated":"2025-08-20T10:00:40Z","snapshot_observed_at":"2026-08-10T04:53:47.904755Z","submitted_at":"2025-08-03T18:57:08Z","title":"Time multidimensional Markov Renewal chains -- An algebraic approach","version":4},"cited_work":{"arxiv_id":"2508.01891","doi":"10.48550/arxiv.2508.01891","metadata_source":"pith","pith_arxiv_id":"2508.01891","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Time multidimensional Markov Renewal chains -- An algebraic approach","venue":"math.PR","work_id":"ce61ad9d-1297-4765-b16b-4bbcb67a6427","year":2025},"citing_paper":{"arxiv_id":"2607.07283","last_updated":"2026-07-08T11:21:16Z","snapshot_observed_at":"2026-08-13T08:41:41.697232Z","submitted_at":"2026-07-08T11:21:16Z","title":"Multi-time Markov renewal chains and stratified renewal theorems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-09T16:09:53.719855Z"},"links":{"cited_paper":"/paper/2508.01891","citing_paper":"/paper/2607.07283"},"observation_digest":"sha256:954b59f8e290180a50dc233f93d44bb87c19a91db9565ca396f87d901e310674","observation_id":"ead0cb88-345d-4d08-b9b5-81555d12aeb4","resolution":{"observed_at":"2026-07-09T16:16:20.081200Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2508.01891/citation-record","integrity":"/paper/2508.01891/integrity","json":"/paper/2508.01891/citation-record.json","paper":"/paper/2508.01891"},"outbound":[],"paper":{"arxiv_id":"2508.01891","last_updated":"2025-08-20T10:00:40Z","latest_version":4,"primary_category":"math.PR","snapshot_observed_at":"2026-08-10T04:53:47.904755Z","submitted_at":"2025-08-03T18:57:08Z","title":"Time multidimensional Markov Renewal chains -- An algebraic approach"},"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 1 inbound Pith citation observation for arXiv:2508.01891."}