{"as_of":"2026-08-13T01:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb609de4861702a25dd4bbb3b3729bd3b0ce18348e002aa97e4fed742f74fc84","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":"2026-08-12T06:34:41.77262+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":"2026-08-06T20:16:24.927590Z","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":"2026-08-06T20:16:27.192701Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.09548","last_updated":"2025-05-26T21:12:43Z","snapshot_observed_at":"2026-08-09T22:16:06.574929Z","submitted_at":"2025-05-14T16:46:32Z","title":"Volume spectrum of fiber bundles and the widths of Berger spheres","version":2},"cited_work":{"arxiv_id":"2505.09548","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.09548","snapshot_observed_at":"2026-08-06T20:16:27.192701Z","title":"Volume spectrum of fiber bundles and the widths of Berger spheres","venue":"math.DG","work_id":"0e054c3d-9ebb-4fcf-b2c8-62c8216337cb","year":2025},"citing_paper":{"arxiv_id":"2507.03837","last_updated":"2025-07-04T23:24:13Z","snapshot_observed_at":"2026-08-09T22:16:16.112297Z","submitted_at":"2025-07-04T23:24:13Z","title":"When can minimal hypersurfaces be connected by mean curvature flow?","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T20:16:24.927590Z"},"links":{"cited_paper":"/paper/2505.09548","citing_paper":"/paper/2507.03837"},"observation_digest":"sha256:c36b60cad1b80986fba6efcdca74a0d6bd0ad3686698ffd4196fc3987dd842da","observation_id":"c7f8b551-d890-465d-b8d1-fdaf33cd80b2","resolution":{"observed_at":"2026-08-06T20:16:27.242788Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.09548/citation-record","integrity":"/paper/2505.09548/integrity","json":"/paper/2505.09548/citation-record.json","paper":"/paper/2505.09548"},"outbound":[],"paper":{"arxiv_id":"2505.09548","last_updated":"2025-05-26T21:12:43Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-09T22:16:06.574929Z","submitted_at":"2025-05-14T16:46:32Z","title":"Volume spectrum of fiber bundles and the widths of Berger spheres"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2505.09548."}