{"as_of":"2026-08-22T15:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0da3a78bdf42f05aa96ae2d4cf948c6c14c81798f091d222472a874ca9e4fa3e","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:34:35.282281Z","state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.09483/citation-record","integrity":"/paper/2505.09483/integrity","json":"/paper/2505.09483/citation-record.json","paper":"/paper/2505.09483"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:34:35.269030Z","title":"Equivariant mixed Hodge modules","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.09483","last_updated":"2025-05-14T15:35:29Z","snapshot_observed_at":"2026-08-15T21:27:46.332356Z","submitted_at":"2025-05-14T15:35:29Z","title":"Cohomological Mackey formula for quotient stacks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T21:34:35.269030Z"},"links":{"citing_paper":"/paper/2505.09483"},"observation_digest":"sha256:87f3977f80c4b28b5d0bdb43e36e49c5c7a3b062b7a48cdcb9ef6e619d83e455","observation_id":"d13c0f03-268a-4dce-bfbf-f50b51206378","resolution":{"observed_at":"2026-08-15T21:34:35.269030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.15786","last_updated":"2025-03-01T08:07:24Z","snapshot_observed_at":"2026-08-16T13:23:12.236636Z","submitted_at":"2024-08-28T13:29:50Z","title":"Cohomological integrality for symmetric quotient stacks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.15786","snapshot_observed_at":"2026-08-15T21:34:35.275752Z","title":"Equivariant cohomology, Koszul duality, and the localization theorem","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2505.09483","last_updated":"2025-05-14T15:35:29Z","snapshot_observed_at":"2026-08-15T21:27:46.332356Z","submitted_at":"2025-05-14T15:35:29Z","title":"Cohomological Mackey formula for quotient stacks","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-15T21:34:35.275752Z"},"links":{"cited_paper":"/paper/2408.15786","citing_paper":"/paper/2505.09483"},"observation_digest":"sha256:e6a8783b4b49fb667a3eaa9075167156bd900e81b644322d45ff85c850fe4043","observation_id":"bcf98c07-7d59-418a-a4c7-8d7e7d0cf3d1","resolution":{"observed_at":"2026-08-15T21:34:35.275752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.01638","last_updated":"2024-12-02T15:49:58Z","snapshot_observed_at":"2026-08-19T23:07:12.307182Z","submitted_at":"2024-12-02T15:49:58Z","title":"The Langlands formula and perverse sheaves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.01638","snapshot_observed_at":"2026-08-15T21:34:35.282281Z","title":"The Langlands formula and perverse sheaves","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.09483","last_updated":"2025-05-14T15:35:29Z","snapshot_observed_at":"2026-08-15T21:27:46.332356Z","submitted_at":"2025-05-14T15:35:29Z","title":"Cohomological Mackey formula for quotient stacks","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-15T21:34:35.282281Z"},"links":{"cited_paper":"/paper/2412.01638","citing_paper":"/paper/2505.09483"},"observation_digest":"sha256:3c2842cd874f8771246c5fd8fad9fb5fdf978452d791b87f3aa061ccb58e2fbc","observation_id":"ee477316-c1d5-4f7f-b4bb-53a32599cecb","resolution":{"observed_at":"2026-08-15T21:34:35.282281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.09483","last_updated":"2025-05-14T15:35:29Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-15T21:27:46.332356Z","submitted_at":"2025-05-14T15:35:29Z","title":"Cohomological Mackey formula for quotient stacks"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":3},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2505.09483."}