{"as_of":"2026-08-16T17:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b3fd36116b09cdd17d1cfecfdf503166f9cd188c9899c5f9061f44b5567ccdb","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":"2026-08-16T06:30:59.297886+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":"2026-08-15T17:17:48.337392Z","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":"2026-08-15T17:17:49.028716Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.13793","last_updated":"2020-07-17T21:29:26Z","snapshot_observed_at":"2026-08-13T22:19:33.857385Z","submitted_at":"2020-06-24T15:06:55Z","title":"Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules","version":3},"cited_work":{"arxiv_id":"2006.13793","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.13793","snapshot_observed_at":"2026-08-15T17:17:49.028716Z","title":"Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules","venue":"math.RT","work_id":"6d396576-8483-4b5e-a350-aa79c7fb98d6","year":2020},"citing_paper":{"arxiv_id":"2508.13137","last_updated":"2025-08-18T17:50:17Z","snapshot_observed_at":"2026-08-15T17:13:04.782584Z","submitted_at":"2025-08-18T17:50:17Z","title":"Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T17:17:48.337392Z"},"links":{"cited_paper":"/paper/2006.13793","citing_paper":"/paper/2508.13137"},"observation_digest":"sha256:6781a491b73987c30fcdb375e6a369bcf9c7d175b2a115625321e8163834cd8e","observation_id":"ac5097fb-8024-4711-81b4-edac82ece60a","resolution":{"observed_at":"2026-08-15T17:17:49.039603Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2006.13793/citation-record","integrity":"/paper/2006.13793/integrity","json":"/paper/2006.13793/citation-record.json","paper":"/paper/2006.13793"},"outbound":[],"paper":{"arxiv_id":"2006.13793","last_updated":"2020-07-17T21:29:26Z","latest_version":3,"primary_category":"math.RT","snapshot_observed_at":"2026-08-13T22:19:33.857385Z","submitted_at":"2020-06-24T15:06:55Z","title":"Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2006.13793."}