{"as_of":"2026-08-09T11:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f6f8b06772c2a72b374af5d5e81cd4677f95f3bae2500ef0ba554842bf6383c","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":"2026-08-09T06:31:02.800959+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":"2026-07-14T09:44:55.627954Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2409.12835","last_updated":"2024-09-19T15:20:44Z","snapshot_observed_at":"2026-08-05T05:28:26.955871Z","submitted_at":"2024-09-19T15:20:44Z","title":"On internally projective sheaves of groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.12835","snapshot_observed_at":"2026-07-14T09:44:55.627954Z","title":"Bernard Le Stum,IRMAR, Université de Rennes, Campus de Beaulieu, 35042 Rennes cedex, France bernard.le-stum@univ-rennes1.fr 40","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.10721","last_updated":"2026-07-12T11:33:51Z","snapshot_observed_at":"2026-08-02T12:17:43.353531Z","submitted_at":"2026-07-12T11:33:51Z","title":"M-modules","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T09:44:55.627954Z"},"links":{"cited_paper":"/paper/2409.12835","citing_paper":"/paper/2607.10721"},"observation_digest":"sha256:cf6d68c339ddc8f9fcb0ae873d2ccf85c8a25daf33f82c846703e534af439109","observation_id":"d5ae61b2-9159-477d-9d00-d7d110953af6","resolution":{"observed_at":"2026-07-14T09:44:55.627954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2409.12835/citation-record","integrity":"/paper/2409.12835/integrity","json":"/paper/2409.12835/citation-record.json","paper":"/paper/2409.12835"},"outbound":[],"paper":{"arxiv_id":"2409.12835","last_updated":"2024-09-19T15:20:44Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-05T05:28:26.955871Z","submitted_at":"2024-09-19T15:20:44Z","title":"On internally projective sheaves of 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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2409.12835."}