{"as_of":"2026-08-16T23:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4693ea51679a1df955590f0362d921ccf72da05806723ada741f6a8f6de2cda7","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":"2026-08-16T06:30:59.297886+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":"2026-08-15T19:08:33.836878Z","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":"2026-08-06T16:40:08.603078Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.15889","last_updated":"2024-06-27T12:56:03Z","snapshot_observed_at":"2026-08-16T14:07:04.996081Z","submitted_at":"2024-03-23T17:07:05Z","title":"Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.15889","snapshot_observed_at":"2026-08-15T19:08:33.836878Z","title":"De Lellis, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.17813","last_updated":"2025-06-21T20:57:38Z","snapshot_observed_at":"2026-08-15T18:58:26.916264Z","submitted_at":"2025-06-21T20:57:38Z","title":"Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T19:08:33.836878Z"},"links":{"cited_paper":"/paper/2403.15889","citing_paper":"/paper/2506.17813"},"observation_digest":"sha256:2180a05d91c44eb652f8b30a52528b3bc794a3c449e3b4d0e095fb2ff1cb8bc1","observation_id":"1aebadcb-3282-48da-8336-6a0756362458","resolution":{"observed_at":"2026-08-15T19:08:33.836878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.15889","last_updated":"2024-06-27T12:56:03Z","snapshot_observed_at":"2026-08-16T14:07:04.996081Z","submitted_at":"2024-03-23T17:07:05Z","title":"Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$","version":2},"cited_work":{"arxiv_id":"2403.15889","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.15889","snapshot_observed_at":"2026-08-06T16:40:08.603078Z","title":"Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$","venue":"math.AP","work_id":"715f2eac-2cb7-4e72-a957-93f69234e30f","year":2024},"citing_paper":{"arxiv_id":"2507.13148","last_updated":"2025-07-17T14:13:29Z","snapshot_observed_at":"2026-08-09T05:09:57.197303Z","submitted_at":"2025-07-17T14:13:29Z","title":"On the Nature of Stationary Integral Varifolds near Multiplicity 2 Planes","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T16:40:06.695225Z"},"links":{"cited_paper":"/paper/2403.15889","citing_paper":"/paper/2507.13148"},"observation_digest":"sha256:08f75a148a1a66a8f5e707c76dd80a6918964d75e6d71fcff5c707b8f45ca7dc","observation_id":"3278b659-b5d4-4791-bf62-7a0259cc42e3","resolution":{"observed_at":"2026-08-06T16:40:08.772480Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.15889/citation-record","integrity":"/paper/2403.15889/integrity","json":"/paper/2403.15889/citation-record.json","paper":"/paper/2403.15889"},"outbound":[],"paper":{"arxiv_id":"2403.15889","last_updated":"2024-06-27T12:56:03Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T14:07:04.996081Z","submitted_at":"2024-03-23T17:07:05Z","title":"Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2403.15889."}