{"as_of":"2026-08-15T21:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ee2d51e3434f8c4dbdb6c86d9e4defa3b9fa563be3bcc2a9497dc3332b5fb046","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T16:33:29.066500Z","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":"2026-07-10T05:06:47.875114Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","snapshot_observed_at":"2026-08-12T22:57:18.120530Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14375","snapshot_observed_at":"2026-08-10T16:33:29.066500Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.13311","last_updated":"2025-02-13T02:29:25Z","snapshot_observed_at":"2026-08-12T16:29:04.805317Z","submitted_at":"2025-01-23T01:40:30Z","title":"The p-widths of $RP^2$","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T16:33:29.066500Z"},"links":{"cited_paper":"/paper/2408.14375","citing_paper":"/paper/2501.13311"},"observation_digest":"sha256:f39c63181e93faac185ea7c9d1b22a1422d525a325b38d7baf1d737224af1d54","observation_id":"bf2eb323-3b50-481c-9f94-e617de8b31ea","resolution":{"observed_at":"2026-08-10T16:33:29.066500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","snapshot_observed_at":"2026-08-12T22:57:18.120530Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2408.14375","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14375","snapshot_observed_at":"2026-07-10T05:06:47.875114Z","title":"Ambrozio, F","venue":"math.DG","work_id":"3ed66ca7-f556-4001-af3c-e5c58dad0a3b","year":2024},"citing_paper":{"arxiv_id":"2501.16032","last_updated":"2026-04-26T22:30:59Z","snapshot_observed_at":"2026-08-06T21:26:43.763896Z","submitted_at":"2025-01-27T13:22:14Z","title":"Equivariant constructions of spheres with Zoll families of minimal spheres","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-23T05:21:42.754880Z"},"links":{"cited_paper":"/paper/2408.14375","citing_paper":"/paper/2501.16032"},"observation_digest":"sha256:c4661d063edcbf1c910b1a46e5e78bf56129dc3f1e3ea0c979eed5acaa8ce1aa","observation_id":"53aa61c1-d291-4ef8-b63b-9fb35bd1dc6b","resolution":{"observed_at":"2026-05-23T05:22:35.140744Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","snapshot_observed_at":"2026-08-12T22:57:18.120530Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2408.14375","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14375","snapshot_observed_at":"2026-07-10T05:06:47.875114Z","title":"Ambrozio, F","venue":"math.DG","work_id":"3ed66ca7-f556-4001-af3c-e5c58dad0a3b","year":2024},"citing_paper":{"arxiv_id":"2606.03583","last_updated":"2026-06-02T12:51:18Z","snapshot_observed_at":"2026-08-02T12:07:50.161857Z","submitted_at":"2026-06-02T12:51:18Z","title":"Closed minimal surfaces of index one in Riemannian manifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T08:27:16.990402Z"},"links":{"cited_paper":"/paper/2408.14375","citing_paper":"/paper/2606.03583"},"observation_digest":"sha256:bd3f3c1900bb46a09d603c0f65d79694a8ab1a4ced3f1757c69f1ab2c2edba67","observation_id":"678c53af-d868-48cf-80ea-5c8d868a3d77","resolution":{"observed_at":"2026-07-02T05:16:38.895028Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","snapshot_observed_at":"2026-08-12T22:57:18.120530Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2408.14375","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14375","snapshot_observed_at":"2026-07-10T05:06:47.875114Z","title":"Ambrozio, F","venue":"math.DG","work_id":"3ed66ca7-f556-4001-af3c-e5c58dad0a3b","year":2024},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-08-09T16:21:18.222904Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2408.14375","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:e8bd1f3756db3e7e94cfbf9e9b86c9bebd37b7984352802a9c94394171c145cc","observation_id":"de098165-721f-44d8-84be-77aa0cbda11e","resolution":{"observed_at":"2026-07-10T05:06:47.876440Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.14375/citation-record","integrity":"/paper/2408.14375/integrity","json":"/paper/2408.14375/citation-record.json","paper":"/paper/2408.14375"},"outbound":[],"paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T22:57:18.120530Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.14375."}