{"as_of":"2026-08-09T00:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a7ad661ad3a235c6c926cacf49a45b5c811e529957797d75b913116c3377c946","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":"2026-08-07T01:02:34.407863Z","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":"2026-08-06T05:20:40.577283Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2109.08135","last_updated":"2021-09-16T17:48:42Z","snapshot_observed_at":"2026-07-06T11:48:27.995805Z","submitted_at":"2021-09-16T17:48:42Z","title":"Stratifying integral representations of finite groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.08135","snapshot_observed_at":"2026-08-07T01:02:34.407863Z","title":"Stratifying integral representations of finite groups","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.12429","last_updated":"2025-08-08T23:49:00Z","snapshot_observed_at":"2026-08-07T00:47:58.915603Z","submitted_at":"2025-06-14T09:58:57Z","title":"Convexity in tensor triangular geometry","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T01:02:34.407863Z"},"links":{"cited_paper":"/paper/2109.08135","citing_paper":"/paper/2506.12429"},"observation_digest":"sha256:89275f2c2725f119f930d9cfa4b89b046aa198bca5973c3110ca0a12da7a6036","observation_id":"aeff6247-4cd3-46bd-9fe7-595d79cafeff","resolution":{"observed_at":"2026-08-07T01:02:34.407863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.08135","last_updated":"2021-09-16T17:48:42Z","snapshot_observed_at":"2026-07-06T11:48:27.995805Z","submitted_at":"2021-09-16T17:48:42Z","title":"Stratifying integral representations of finite groups","version":1},"cited_work":{"arxiv_id":"2109.08135","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.08135","snapshot_observed_at":"2026-08-06T05:20:40.577283Z","title":"Stratifying integral representations of finite groups","venue":"math.RT","work_id":"c6d607a8-45df-432c-8273-22740757afa4","year":2021},"citing_paper":{"arxiv_id":"2508.02105","last_updated":"2025-08-04T06:29:48Z","snapshot_observed_at":"2026-08-06T05:20:36.513936Z","submitted_at":"2025-08-04T06:29:48Z","title":"The tensor triangular geometry of fully faithful functors","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-06T05:20:40.076200Z"},"links":{"cited_paper":"/paper/2109.08135","citing_paper":"/paper/2508.02105"},"observation_digest":"sha256:df17b15a41f33654bf26ddc92db0b45c8cb51fb37de924c2155984c788c10f2b","observation_id":"a8bdf0a4-6283-451a-8e06-32de3e9ac7b6","resolution":{"observed_at":"2026-08-06T05:20:40.583088Z","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/2109.08135/citation-record","integrity":"/paper/2109.08135/integrity","json":"/paper/2109.08135/citation-record.json","paper":"/paper/2109.08135"},"outbound":[],"paper":{"arxiv_id":"2109.08135","last_updated":"2021-09-16T17:48:42Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T11:48:27.995805Z","submitted_at":"2021-09-16T17:48:42Z","title":"Stratifying integral representations of finite groups"},"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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2109.08135."}