{"as_of":"2026-08-08T11:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bf413405e6c81e32b5f34f9eff0307f25c24b4789ac6b4b455898fdcf9fde1f1","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T13:01:22.894062Z","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":"2026-05-11T22:46:13.275724Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.18868","last_updated":"2024-07-26T16:55:56Z","snapshot_observed_at":"2026-08-04T12:53:39.211409Z","submitted_at":"2024-07-26T16:55:56Z","title":"Asymptotic behavior of a diffused interface volume-preserving mean curvature flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.18868","snapshot_observed_at":"2026-08-07T13:01:22.894062Z","title":"Bonforte, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.23222","last_updated":"2026-07-30T19:22:28Z","snapshot_observed_at":"2026-08-07T12:48:17.569519Z","submitted_at":"2025-05-29T08:08:15Z","title":"Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:01:22.894062Z"},"links":{"cited_paper":"/paper/2407.18868","citing_paper":"/paper/2505.23222"},"observation_digest":"sha256:e1c101f8c3fd2f38d8953dba5a437305bf04af090e302c6e68e031b2665f8108","observation_id":"6de002fe-c998-4b1e-bce2-5e9f6ace5655","resolution":{"observed_at":"2026-08-07T13:01:22.894062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18868","last_updated":"2024-07-26T16:55:56Z","snapshot_observed_at":"2026-08-04T12:53:39.211409Z","submitted_at":"2024-07-26T16:55:56Z","title":"Asymptotic behavior of a diffused interface volume-preserving mean curvature flow","version":1},"cited_work":{"arxiv_id":"2407.18868","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.18868","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bonforte, F","venue":null,"work_id":"79678806-4bc7-490b-bb36-bba75d6fea05","year":2024},"citing_paper":{"arxiv_id":"2604.23920","last_updated":"2026-04-27T00:33:42Z","snapshot_observed_at":"2026-07-06T23:10:02.659384Z","submitted_at":"2026-04-27T00:33:42Z","title":"Survey on topological methods for Allen--Cahn equations and systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-08T02:26:01.978801Z"},"links":{"cited_paper":"/paper/2407.18868","citing_paper":"/paper/2604.23920"},"observation_digest":"sha256:8005585990bc703bd5c7fcd9dcb688ea80be85e9d4a18d992c76e98deff69e73","observation_id":"0497efb2-0aeb-446b-83f6-cdfcf3e10c73","resolution":{"observed_at":"2026-05-11T22:46:13.278003Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2407.18868/citation-record","integrity":"/paper/2407.18868/integrity","json":"/paper/2407.18868/citation-record.json","paper":"/paper/2407.18868"},"outbound":[],"paper":{"arxiv_id":"2407.18868","last_updated":"2024-07-26T16:55:56Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-04T12:53:39.211409Z","submitted_at":"2024-07-26T16:55:56Z","title":"Asymptotic behavior of a diffused interface volume-preserving mean curvature flow"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2407.18868."}