{"as_of":"2026-08-23T19:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6a869816931046b7039682473c3e636d937e5d400f0ffb11c53285a9f837d5ac","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":"2026-08-23T06:30:58.430688+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":"2026-08-16T06:06:38.448156Z","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":"2026-05-14T02:28:41.731979Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2110.02463","last_updated":"2024-04-04T03:43:36Z","snapshot_observed_at":"2026-08-16T17:51:35.380619Z","submitted_at":"2021-10-06T02:37:35Z","title":"PFH spectral invariants and $C^\\infty$ closing lemmas","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.02463","snapshot_observed_at":"2026-08-12T14:34:11.729761Z","title":"PFH spectral invariants and C^ closing lemmas","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.15429","last_updated":"2024-11-23T03:13:59Z","snapshot_observed_at":"2026-08-19T11:16:05.484816Z","submitted_at":"2024-11-23T03:13:59Z","title":"Generic density of periodic orbits of area-preserving maps on punctured surfaces","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T14:34:11.729761Z"},"links":{"cited_paper":"/paper/2110.02463","citing_paper":"/paper/2411.15429"},"observation_digest":"sha256:63eb02f8c7ab3fc99e3fc9b6f369eb8926870be5272d71b393f2c999c760d7bf","observation_id":"0517007d-a9af-4387-a8f2-aadccf235ca3","resolution":{"observed_at":"2026-08-12T14:34:11.729761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.02463","last_updated":"2024-04-04T03:43:36Z","snapshot_observed_at":"2026-08-16T17:51:35.380619Z","submitted_at":"2021-10-06T02:37:35Z","title":"PFH spectral invariants and $C^\\infty$ closing lemmas","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.02463","snapshot_observed_at":"2026-08-16T06:06:38.448156Z","title":"Edtmair and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.19332","last_updated":"2025-05-22T16:33:52Z","snapshot_observed_at":"2026-08-19T19:41:02.245642Z","submitted_at":"2025-04-27T19:06:05Z","title":"Reeb orbits frequently intersecting a symplectic surface","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T06:06:38.448156Z"},"links":{"cited_paper":"/paper/2110.02463","citing_paper":"/paper/2504.19332"},"observation_digest":"sha256:e4d46a7176060dee472f5ff0f34b9af05e7412e1344d7e184e712b43a4e6f360","observation_id":"bbe02dad-eca6-4e2b-884c-e46e57308150","resolution":{"observed_at":"2026-08-16T06:06:38.448156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.02463","last_updated":"2024-04-04T03:43:36Z","snapshot_observed_at":"2026-08-16T17:51:35.380619Z","submitted_at":"2021-10-06T02:37:35Z","title":"PFH spectral invariants and $C^\\infty$ closing lemmas","version":5},"cited_work":{"arxiv_id":"2110.02463","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2110.02463","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Edtmair and M","venue":null,"work_id":"d1e9ee79-2829-49d0-a6d4-d1e990c76d91","year":null},"citing_paper":{"arxiv_id":"2605.12958","last_updated":"2026-05-13T03:43:20Z","snapshot_observed_at":"2026-08-18T11:32:21.331941Z","submitted_at":"2026-05-13T03:43:20Z","title":"Elementary spectral invariants and three-dimensional Reeb dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-14T02:25:06.806995Z"},"links":{"cited_paper":"/paper/2110.02463","citing_paper":"/paper/2605.12958"},"observation_digest":"sha256:2cd3d74c624b5adc37e0a61b99d89a9a363d133889706d2ac6d03cef9a14bf6d","observation_id":"2e3d6b7b-53dd-4e5a-ba2f-19a93c290ea8","resolution":{"observed_at":"2026-05-14T02:28:41.737824Z","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":"2110.02463","last_updated":"2024-04-04T03:43:36Z","snapshot_observed_at":"2026-08-16T17:51:35.380619Z","submitted_at":"2021-10-06T02:37:35Z","title":"PFH spectral invariants and $C^\\infty$ closing lemmas","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.02463","snapshot_observed_at":"2026-07-12T05:24:58.378868Z","title":"PFH spectral invariants and𝐶 8 closing lemmas.arXiv preprint arXiv:2110.02463, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.03019","last_updated":"2026-07-03T06:58:30Z","snapshot_observed_at":"2026-08-18T22:38:07.677979Z","submitted_at":"2026-07-03T06:58:30Z","title":"Conformally symplectic topology from a dynamical viewpoint","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-12T05:24:58.378868Z"},"links":{"cited_paper":"/paper/2110.02463","citing_paper":"/paper/2607.03019"},"observation_digest":"sha256:f86f8aef37e40db3ba1973abf8dee13cf20e4bc835855bee84897056c6906dbe","observation_id":"9851179b-bc12-4f71-b188-98a3a66ef3c1","resolution":{"observed_at":"2026-07-12T05:24:58.378868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2110.02463/citation-record","integrity":"/paper/2110.02463/integrity","json":"/paper/2110.02463/citation-record.json","paper":"/paper/2110.02463"},"outbound":[],"paper":{"arxiv_id":"2110.02463","last_updated":"2024-04-04T03:43:36Z","latest_version":5,"primary_category":"math.SG","snapshot_observed_at":"2026-08-16T17:51:35.380619Z","submitted_at":"2021-10-06T02:37:35Z","title":"PFH spectral invariants and $C^\\infty$ closing lemmas"},"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 4 inbound Pith citation observations for arXiv:2110.02463."}