{"as_of":"2026-08-10T06:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9c7e87ed92aebb5c65bbd66d1f0ad08569224ce9b738e953bc57062be5439e61","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:16:35.325060Z","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":"2026-05-23T08:27:44.363003Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.20169","last_updated":"2023-10-31T04:37:55Z","snapshot_observed_at":"2026-08-09T22:50:56.995271Z","submitted_at":"2023-10-31T04:37:55Z","title":"Plateau borders in soap films and Gauss' capillarity theory","version":1},"cited_work":{"arxiv_id":"2310.20169","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.20169","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Plateau borders in soap films and G auss' capillarity theory","venue":null,"work_id":"10193691-b458-4837-a8af-b0f8b211ead9","year":2023},"citing_paper":{"arxiv_id":"2412.01813","last_updated":"2026-04-04T13:31:41Z","snapshot_observed_at":"2026-07-06T20:00:28.112838Z","submitted_at":"2024-12-02T18:55:53Z","title":"Free boundary regularity for semilinear variational problems with a topological constraint","version":3},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-23T08:25:31.754897Z"},"links":{"cited_paper":"/paper/2310.20169","citing_paper":"/paper/2412.01813"},"observation_digest":"sha256:335c18d973ccd6ed4b7cdbb7a575878d3a283be4ef4995ad5429cd81097ab2d7","observation_id":"188d0b67-cb5c-46f2-a06b-0891fe134cea","resolution":{"observed_at":"2026-05-23T08:27:44.365326Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.20169","last_updated":"2023-10-31T04:37:55Z","snapshot_observed_at":"2026-08-09T22:50:56.995271Z","submitted_at":"2023-10-31T04:37:55Z","title":"Plateau borders in soap films and Gauss' capillarity theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.20169","snapshot_observed_at":"2026-08-06T22:16:35.325060Z","title":"Plateau borders in soap films and gauss' capillarity theory","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.22273","last_updated":"2025-06-27T14:43:14Z","snapshot_observed_at":"2026-08-09T14:24:14.597124Z","submitted_at":"2025-06-27T14:43:14Z","title":"Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T22:16:35.325060Z"},"links":{"cited_paper":"/paper/2310.20169","citing_paper":"/paper/2506.22273"},"observation_digest":"sha256:36148f0bdbdb52fe2f981e31659eb2ee39ccd1a4ef4ebae4b0efffcba867784e","observation_id":"07bf4d96-39ac-41b7-88e8-160edd9251da","resolution":{"observed_at":"2026-08-06T22:16:35.325060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.20169","last_updated":"2023-10-31T04:37:55Z","snapshot_observed_at":"2026-08-09T22:50:56.995271Z","submitted_at":"2023-10-31T04:37:55Z","title":"Plateau borders in soap films and Gauss' capillarity theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.20169","snapshot_observed_at":"2026-08-04T11:05:22.171606Z","title":"Novack, and D.Restrepo","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.07078","last_updated":"2026-07-31T01:33:34Z","snapshot_observed_at":"2026-08-09T18:56:47.620683Z","submitted_at":"2025-10-08T14:38:34Z","title":"Multi-Bubble Isoperimetric Problems","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T11:05:22.171606Z"},"links":{"cited_paper":"/paper/2310.20169","citing_paper":"/paper/2510.07078"},"observation_digest":"sha256:c5fa43cb1073987df05c1520d110ad1b84bfe7ea0330b5fc6d27791baae325cb","observation_id":"f5637352-ad72-44da-b995-04bf04626dd0","resolution":{"observed_at":"2026-08-04T11:05:22.171606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2310.20169/citation-record","integrity":"/paper/2310.20169/integrity","json":"/paper/2310.20169/citation-record.json","paper":"/paper/2310.20169"},"outbound":[],"paper":{"arxiv_id":"2310.20169","last_updated":"2023-10-31T04:37:55Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-09T22:50:56.995271Z","submitted_at":"2023-10-31T04:37:55Z","title":"Plateau borders in soap films and Gauss' capillarity theory"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2310.20169."}