{"as_of":"2026-08-08T17:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e2c6e0e9f4459fbeaa584d2bc2b428f48db86d91544d1a2c5d6ef42fec2f32fb","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T05:19:30.178091Z","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":"2026-08-07T05:19:30.583793Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2108.13600","last_updated":"2025-05-06T04:52:27Z","snapshot_observed_at":"2026-07-06T11:42:55.121494Z","submitted_at":"2021-08-31T03:33:34Z","title":"Sheaves of modules on atomic sites and discrete representations of topological groups","version":4},"cited_work":{"arxiv_id":"2108.13600","doi":null,"metadata_source":"pith","pith_arxiv_id":"2108.13600","snapshot_observed_at":"2026-08-07T05:19:30.583793Z","title":"Sheaves of modules on atomic sites and discrete representations of topological groups","venue":"math.RT","work_id":"08681df0-b026-4582-b4aa-43405dd5a708","year":2021},"citing_paper":{"arxiv_id":"2506.08685","last_updated":"2025-07-29T13:55:27Z","snapshot_observed_at":"2026-08-07T05:02:11.423679Z","submitted_at":"2025-06-10T10:50:36Z","title":"A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:19:30.178091Z"},"links":{"cited_paper":"/paper/2108.13600","citing_paper":"/paper/2506.08685"},"observation_digest":"sha256:d86f483e7ab3e1144c6305d15712f69927ef40b422f360489d933453652db4a2","observation_id":"89cd688c-9a79-488e-ad56-8b871870a9e7","resolution":{"observed_at":"2026-08-07T05:19:30.588128Z","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/2108.13600/citation-record","integrity":"/paper/2108.13600/integrity","json":"/paper/2108.13600/citation-record.json","paper":"/paper/2108.13600"},"outbound":[],"paper":{"arxiv_id":"2108.13600","last_updated":"2025-05-06T04:52:27Z","latest_version":4,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T11:42:55.121494Z","submitted_at":"2021-08-31T03:33:34Z","title":"Sheaves of modules on atomic sites and discrete representations of topological 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 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2108.13600."}