{"as_of":"2026-08-11T18:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c2e37d18b92b91b5f73abe9aa0d4a3fe80ad32981feb62019c4b18fd07b06003","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":"2026-08-11T06:34:44.6726+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":"2026-08-06T22:02:48.511993Z","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":"2026-08-05T18:55:59.361315Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"0902.0069","last_updated":"2009-01-31T14:11:07Z","snapshot_observed_at":"2026-07-06T01:50:48.483919Z","submitted_at":"2009-01-31T14:11:07Z","title":"A ridiculously simple and explicit implicit function theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0902.0069","snapshot_observed_at":"2026-08-06T22:02:48.511993Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2506.23214","last_updated":"2025-06-29T12:54:30Z","snapshot_observed_at":"2026-08-06T21:45:35.359278Z","submitted_at":"2025-06-29T12:54:30Z","title":"Closure under factorization from a result of Furstenberg","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T22:02:48.511993Z"},"links":{"cited_paper":"/paper/0902.0069","citing_paper":"/paper/2506.23214"},"observation_digest":"sha256:f25adc1c8929014bd12d52ac48a75c5c5a2497e86304edb1874b13bd568a1cda","observation_id":"b1b1bb3f-ec6c-4abf-8e0b-29eff46d90e0","resolution":{"observed_at":"2026-08-06T22:02:48.511993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0902.0069","last_updated":"2009-01-31T14:11:07Z","snapshot_observed_at":"2026-07-06T01:50:48.483919Z","submitted_at":"2009-01-31T14:11:07Z","title":"A ridiculously simple and explicit implicit function theorem","version":1},"cited_work":{"arxiv_id":"0902.0069","doi":null,"metadata_source":"pith","pith_arxiv_id":"0902.0069","snapshot_observed_at":"2026-08-05T18:55:59.361315Z","title":"A ridiculously simple and explicit implicit function theorem","venue":"math.CV","work_id":"a5bec24b-c3a0-4744-ae00-8e24d0c338c8","year":2009},"citing_paper":{"arxiv_id":"2508.13827","last_updated":"2025-09-09T12:20:50Z","snapshot_observed_at":"2026-08-06T12:27:30.898743Z","submitted_at":"2025-08-19T13:37:02Z","title":"Surface sums in two-dimensional large-$N$ lattice Yang--Mills: Cancellations and explicit computations for general loops","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-05T18:55:58.835052Z"},"links":{"cited_paper":"/paper/0902.0069","citing_paper":"/paper/2508.13827"},"observation_digest":"sha256:17760b14df1109bfdb5526c72868d94c9f16cf597a766f528fdaa161773c3c38","observation_id":"2ff334e0-4d12-4afd-9f04-59d25e929723","resolution":{"observed_at":"2026-08-05T18:55:59.431112Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/0902.0069/citation-record","integrity":"/paper/0902.0069/integrity","json":"/paper/0902.0069/citation-record.json","paper":"/paper/0902.0069"},"outbound":[],"paper":{"arxiv_id":"0902.0069","last_updated":"2009-01-31T14:11:07Z","latest_version":1,"primary_category":"math.CV","snapshot_observed_at":"2026-07-06T01:50:48.483919Z","submitted_at":"2009-01-31T14:11:07Z","title":"A ridiculously simple and explicit implicit function theorem"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0902.0069."}