{"as_of":"2026-08-08T14:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4f998d569e7a3f2e5e3c811da3f17a9696b929ce3f71a2ff2fbb153a8ce17e32","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T13:04:49.070146Z","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":"2026-08-06T22:39:36.669858Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2106.02160","last_updated":"2025-03-04T02:39:53Z","snapshot_observed_at":"2026-07-06T11:15:49.879189Z","submitted_at":"2021-06-03T22:29:27Z","title":"Introduction to Cluster Algebras. Chapter 7","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.02160","snapshot_observed_at":"2026-08-07T13:04:49.070146Z","title":"Introduction to Cluster Algebras","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.22851","last_updated":"2025-05-28T20:34:56Z","snapshot_observed_at":"2026-08-07T12:56:41.464717Z","submitted_at":"2025-05-28T20:34:56Z","title":"Separating dots with circles","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T13:04:49.070146Z"},"links":{"cited_paper":"/paper/2106.02160","citing_paper":"/paper/2505.22851"},"observation_digest":"sha256:535edf97060b908f5b94e18d89d6f6b0c46e16756f4c2a3e15e135f682c302fe","observation_id":"9fda2780-0717-44f1-8bdf-17ea4c409f87","resolution":{"observed_at":"2026-08-07T13:04:49.070146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.02160","last_updated":"2025-03-04T02:39:53Z","snapshot_observed_at":"2026-07-06T11:15:49.879189Z","submitted_at":"2021-06-03T22:29:27Z","title":"Introduction to Cluster Algebras. Chapter 7","version":3},"cited_work":{"arxiv_id":"2106.02160","doi":null,"metadata_source":"pith","pith_arxiv_id":"2106.02160","snapshot_observed_at":"2026-08-06T22:39:36.669858Z","title":"Introduction to Cluster Algebras. Chapter 7","venue":"math.CO","work_id":"da6a518c-327e-4f0b-b5ac-ba76ac15c4fd","year":2021},"citing_paper":{"arxiv_id":"2506.21064","last_updated":"2025-06-26T07:33:38Z","snapshot_observed_at":"2026-08-07T09:41:45.652219Z","submitted_at":"2025-06-26T07:33:38Z","title":"Introduction to the Cohomology of the Flag Variety","version":1},"reference_index":131,"source":"pdf_text","source_observed_at":"2026-08-06T22:39:27.419966Z"},"links":{"cited_paper":"/paper/2106.02160","citing_paper":"/paper/2506.21064"},"observation_digest":"sha256:2f5103bb218d7d1ab46f01bf984bd5576ccd78cc89fe965100bc21aeb0b8fde9","observation_id":"09680e79-c5da-43d9-bb9e-12fddd010303","resolution":{"observed_at":"2026-08-06T22:39:36.674525Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2106.02160/citation-record","integrity":"/paper/2106.02160/integrity","json":"/paper/2106.02160/citation-record.json","paper":"/paper/2106.02160"},"outbound":[],"paper":{"arxiv_id":"2106.02160","last_updated":"2025-03-04T02:39:53Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T11:15:49.879189Z","submitted_at":"2021-06-03T22:29:27Z","title":"Introduction to Cluster Algebras. Chapter 7"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2106.02160."}