{"as_of":"2026-08-13T10:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3d3a9f10b3f54a864ed8c14853a8ea2a715a6822d2c56437c5fb8a279c74d27","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T16:21:10.147500Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T21:46:15.519791Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.07528","last_updated":"2025-08-26T16:26:15Z","snapshot_observed_at":"2026-08-13T04:49:41.788111Z","submitted_at":"2025-01-13T17:59:40Z","title":"Plus-pure thresholds of some cusp-like singularities in mixed characteristic","version":2},"cited_work":{"arxiv_id":"2501.07528","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.07528","snapshot_observed_at":"2026-07-01T21:46:15.519791Z","title":"Plus-pure thresholds of some cusp-like singulari- ties in mixed characteristic.arXiv preprint arXiv:2501.07528,","venue":null,"work_id":"496bbcde-d678-4254-96f8-658de5011a07","year":null},"citing_paper":{"arxiv_id":"2509.07217","last_updated":"2026-04-28T17:20:01Z","snapshot_observed_at":"2026-07-06T22:26:13.218240Z","submitted_at":"2025-09-08T20:54:08Z","title":"Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-18T18:40:05.076778Z"},"links":{"cited_paper":"/paper/2501.07528","citing_paper":"/paper/2509.07217"},"observation_digest":"sha256:b640ec8e6389b2b35150021339c7972dd83c518a02028600868ea8b14d7d52dd","observation_id":"3f6f924f-6390-45c7-94e4-c738d7526f80","resolution":{"observed_at":"2026-05-18T18:41:44.406717Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07528","last_updated":"2025-08-26T16:26:15Z","snapshot_observed_at":"2026-08-13T04:49:41.788111Z","submitted_at":"2025-01-13T17:59:40Z","title":"Plus-pure thresholds of some cusp-like singularities in mixed characteristic","version":2},"cited_work":{"arxiv_id":"2501.07528","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.07528","snapshot_observed_at":"2026-07-01T21:46:15.519791Z","title":"Plus-pure thresholds of some cusp-like singulari- ties in mixed characteristic.arXiv preprint arXiv:2501.07528,","venue":null,"work_id":"496bbcde-d678-4254-96f8-658de5011a07","year":null},"citing_paper":{"arxiv_id":"2606.04014","last_updated":"2026-05-31T14:00:25Z","snapshot_observed_at":"2026-08-08T10:16:50.036033Z","submitted_at":"2026-05-31T14:00:25Z","title":"Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T16:21:10.147500Z"},"links":{"cited_paper":"/paper/2501.07528","citing_paper":"/paper/2606.04014"},"observation_digest":"sha256:efe6cd14f8c5079c5dc41f477f56fa94305dd2a5793ce9bfc3341a9bf0873914","observation_id":"47d04374-1f60-4174-b5d5-9d2c00599067","resolution":{"observed_at":"2026-07-01T21:46:15.521505Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.07528/citation-record","integrity":"/paper/2501.07528/integrity","json":"/paper/2501.07528/citation-record.json","paper":"/paper/2501.07528"},"outbound":[],"paper":{"arxiv_id":"2501.07528","last_updated":"2025-08-26T16:26:15Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-13T04:49:41.788111Z","submitted_at":"2025-01-13T17:59:40Z","title":"Plus-pure thresholds of some cusp-like singularities in mixed characteristic"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2501.07528."}