{"as_of":"2026-08-23T19:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c21c4dfa1d9d2256a9da64156e4664c7e25cbf26d96793553cc3480e4f2b693c","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":"2026-08-23T06:30:58.430688+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":"2026-08-14T05:33:37.767451Z","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":"2026-08-14T05:33:38.223343Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1602.04405","last_updated":"2016-10-09T03:44:08Z","snapshot_observed_at":"2026-08-14T22:10:26.541178Z","submitted_at":"2016-02-13T23:56:19Z","title":"Depth and the Local Cohomology of FI_G-modules","version":3},"cited_work":{"arxiv_id":"1602.04405","doi":null,"metadata_source":"pith","pith_arxiv_id":"1602.04405","snapshot_observed_at":"2026-08-14T05:33:38.223343Z","title":"Depth and the Local Cohomology of FI_G-modules","venue":"math.RT","work_id":"cd158e43-299c-4822-97bd-e47447f9cfcc","year":2016},"citing_paper":{"arxiv_id":"1909.01261","last_updated":"2020-06-01T05:24:16Z","snapshot_observed_at":"2026-08-21T00:35:37.389193Z","submitted_at":"2019-09-03T15:51:35Z","title":"An inductive method for $\\mathrm{OI}$-modules","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:33:37.767451Z"},"links":{"cited_paper":"/paper/1602.04405","citing_paper":"/paper/1909.01261"},"observation_digest":"sha256:93c3325ee8aceea977c6860a8e72cca9d2245d669d6f4d2cee2775da4791b827","observation_id":"b090cda5-11e6-4c76-ae9e-c0458e312456","resolution":{"observed_at":"2026-08-14T05:33:38.226806Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1602.04405/citation-record","integrity":"/paper/1602.04405/integrity","json":"/paper/1602.04405/citation-record.json","paper":"/paper/1602.04405"},"outbound":[],"paper":{"arxiv_id":"1602.04405","last_updated":"2016-10-09T03:44:08Z","latest_version":3,"primary_category":"math.RT","snapshot_observed_at":"2026-08-14T22:10:26.541178Z","submitted_at":"2016-02-13T23:56:19Z","title":"Depth and the Local Cohomology of FI_G-modules"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1602.04405."}