{"as_of":"2026-08-14T13:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa72e03b88fdb3d360d29f4b7312eb08ae65512ba79db97a663df5fbc115fde6","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":"2026-08-14T06:32:32.682623+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":"2026-08-12T18:01:00.436901Z","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":"2026-08-12T18:01:00.532093Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.05781","last_updated":"2024-06-09T13:38:26Z","snapshot_observed_at":"2026-08-12T23:47:00.428773Z","submitted_at":"2024-06-09T13:38:26Z","title":"Almost Gorenstein simplicial semigroup rings","version":1},"cited_work":{"arxiv_id":"2406.05781","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.05781","snapshot_observed_at":"2026-08-12T18:01:00.532093Z","title":"Almost Gorenstein simplicial semigroup rings","venue":"math.AC","work_id":"58f5df1c-6560-4475-aae4-23372d3be666","year":2024},"citing_paper":{"arxiv_id":"2411.12081","last_updated":"2024-11-18T21:44:56Z","snapshot_observed_at":"2026-08-12T17:53:43.105002Z","submitted_at":"2024-11-18T21:44:56Z","title":"On nearly Gorenstein affine semigroups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T18:01:00.436901Z"},"links":{"cited_paper":"/paper/2406.05781","citing_paper":"/paper/2411.12081"},"observation_digest":"sha256:ec147dc2437959c9be803f10fcdc8a2de721965d7b9e691e368f59412cbf7d9b","observation_id":"76842341-227f-48a7-8ce1-9c90d2a79096","resolution":{"observed_at":"2026-08-12T18:01:00.538236Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2406.05781/citation-record","integrity":"/paper/2406.05781/integrity","json":"/paper/2406.05781/citation-record.json","paper":"/paper/2406.05781"},"outbound":[],"paper":{"arxiv_id":"2406.05781","last_updated":"2024-06-09T13:38:26Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-12T23:47:00.428773Z","submitted_at":"2024-06-09T13:38:26Z","title":"Almost Gorenstein simplicial semigroup rings"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2406.05781."}