{"as_of":"2026-08-22T07:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0ed681583685609eb23de8f75de55226f09c233b96209815678200c23a32fdb4","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:21:18.234929Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"raw_reference","source_observed_at":"2026-08-14T04:21:18.377596Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.20264","last_updated":"2026-08-18T00:45:04Z","snapshot_observed_at":"2026-08-21T23:10:08.776251Z","submitted_at":"2025-11-25T12:49:28Z","title":"Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group","version":4},"cited_work":{"arxiv_id":"2511.20264","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":"2511.20264","snapshot_observed_at":"2026-08-19T01:25:33.586599Z","title":"Zhang, J.L","venue":null,"work_id":"5e31178a-4b00-46bd-876b-8ea979080d13","year":2025},"citing_paper":{"arxiv_id":"2608.09034","last_updated":"2026-08-10T02:36:40Z","snapshot_observed_at":"2026-08-17T00:42:01.714400Z","submitted_at":"2026-08-10T02:36:40Z","title":"Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T04:21:18.234929Z"},"links":{"cited_paper":"/paper/2511.20264","citing_paper":"/paper/2608.09034"},"observation_digest":"sha256:5a7d5323b150208344dd82ec116680c1d8a768000161d0949d21911ec9bb2ed4","observation_id":"9ad50ff2-7af5-4ec3-adaf-c5919c434e49","resolution":{"observed_at":"2026-08-19T01:25:33.586599Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2511.20264/citation-record","integrity":"/paper/2511.20264/integrity","json":"/paper/2511.20264/citation-record.json","paper":"/paper/2511.20264"},"outbound":[],"paper":{"arxiv_id":"2511.20264","last_updated":"2026-08-18T00:45:04Z","latest_version":4,"primary_category":"math.AP","snapshot_observed_at":"2026-08-21T23:10:08.776251Z","submitted_at":"2025-11-25T12:49:28Z","title":"Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2511.20264."}