{"as_of":"2026-08-23T12:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:54724db4bd3a635b64eb70b7155827efa0ee2333686455073020a000e5780d05","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":"2026-08-23T06:30:58.430688+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":"2026-08-09T17:27:52.770558Z","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":"2026-07-10T06:15:00.866473Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.13971","last_updated":"2025-03-27T16:28:42Z","snapshot_observed_at":"2026-08-16T14:32:32.600922Z","submitted_at":"2023-12-21T15:58:48Z","title":"KAM via Standard Fixed Point Theorems","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.13971","snapshot_observed_at":"2026-08-09T17:27:52.770558Z","title":"Alazard & C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.00898","last_updated":"2025-06-19T11:33:23Z","snapshot_observed_at":"2026-08-09T20:14:23.316390Z","submitted_at":"2025-02-02T20:16:50Z","title":"Finite codimension stability of invariant surfaces","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-09T17:27:52.770558Z"},"links":{"cited_paper":"/paper/2312.13971","citing_paper":"/paper/2502.00898"},"observation_digest":"sha256:5510b2cd728cd08640e96ef8e4c05c15c47b845287af33a056b97ca711c1e267","observation_id":"0958059d-d98e-4156-8e30-00bc88b757ae","resolution":{"observed_at":"2026-08-09T17:27:52.770558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13971","last_updated":"2025-03-27T16:28:42Z","snapshot_observed_at":"2026-08-16T14:32:32.600922Z","submitted_at":"2023-12-21T15:58:48Z","title":"KAM via Standard Fixed Point Theorems","version":3},"cited_work":{"arxiv_id":"2312.13971","doi":"10.48550/arxiv.2312.13971","metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13971","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Alazard and C","venue":null,"work_id":"d515a643-ecf3-4fa5-a061-aa4c0dc6e6cd","year":2023},"citing_paper":{"arxiv_id":"2504.19808","last_updated":"2026-05-11T11:01:36Z","snapshot_observed_at":"2026-08-01T06:26:43.225306Z","submitted_at":"2025-04-28T14:06:12Z","title":"Fixed point theorems for small divisors problems","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-22T18:32:25.402146Z"},"links":{"cited_paper":"/paper/2312.13971","citing_paper":"/paper/2504.19808"},"observation_digest":"sha256:051904232a9a96ba11efed57ca7d51bd739cf1075783b1dd498dd5fd5957c709","observation_id":"d35c0af1-92cf-49a5-92a2-c580fae750d2","resolution":{"observed_at":"2026-05-22T18:35:02.474480Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13971","last_updated":"2025-03-27T16:28:42Z","snapshot_observed_at":"2026-08-16T14:32:32.600922Z","submitted_at":"2023-12-21T15:58:48Z","title":"KAM via Standard Fixed Point Theorems","version":3},"cited_work":{"arxiv_id":"2312.13971","doi":"10.48550/arxiv.2312.13971","metadata_source":"arxiv_reference","pith_arxiv_id":"2312.13971","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Alazard and C","venue":null,"work_id":"d515a643-ecf3-4fa5-a061-aa4c0dc6e6cd","year":2023},"citing_paper":{"arxiv_id":"2604.04665","last_updated":"2026-04-15T09:31:15Z","snapshot_observed_at":"2026-07-06T22:53:33.177713Z","submitted_at":"2026-04-06T13:17:11Z","title":"Sharp regularity of a weighted Sobolev space over $ \\mathbb{T}^n $ and its relation to finitely differentiable KAM theory","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-10T20:07:24.760344Z"},"links":{"cited_paper":"/paper/2312.13971","citing_paper":"/paper/2604.04665"},"observation_digest":"sha256:e5ce124db54dda2f5cbcdbb4667e70c3e967076a623f6d99c88706c6a6faedf8","observation_id":"d9dfcd40-de71-4017-89f4-1f4d79ca26a0","resolution":{"observed_at":"2026-05-10T20:10:46.612351Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2312.13971/citation-record","integrity":"/paper/2312.13971/integrity","json":"/paper/2312.13971/citation-record.json","paper":"/paper/2312.13971"},"outbound":[],"paper":{"arxiv_id":"2312.13971","last_updated":"2025-03-27T16:28:42Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T14:32:32.600922Z","submitted_at":"2023-12-21T15:58:48Z","title":"KAM via Standard Fixed Point Theorems"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2312.13971."}