{"as_of":"2026-08-16T14:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b589b3a53e382454fbcdf661c148efe44bedc61bb86fb08e435ded7a2fe3fdf3","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T13:12:02.561133Z","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":"2026-08-14T11:17:40.389086Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1807.00422","last_updated":"2018-07-02T00:26:16Z","snapshot_observed_at":"2026-08-15T22:42:23.799749Z","submitted_at":"2018-07-02T00:26:16Z","title":"Heat kernel for Liouville Brownian motion and Liouville graph distance","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.00422","snapshot_observed_at":"2026-08-14T13:12:02.561133Z","title":"Ding , O","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.05573","last_updated":"2021-02-28T00:03:52Z","snapshot_observed_at":"2026-08-16T13:39:00.138625Z","submitted_at":"2019-08-15T15:03:56Z","title":"Random surfaces and Liouville quantum gravity","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T13:12:02.561133Z"},"links":{"cited_paper":"/paper/1807.00422","citing_paper":"/paper/1908.05573"},"observation_digest":"sha256:19a780ab43686cb5050ba079688853ed00efef420641c369bd4fc4f88d7bcf58","observation_id":"9885ec3c-66f6-42a1-b788-2ca3671ba764","resolution":{"observed_at":"2026-08-14T13:12:02.561133Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.00422","last_updated":"2018-07-02T00:26:16Z","snapshot_observed_at":"2026-08-15T22:42:23.799749Z","submitted_at":"2018-07-02T00:26:16Z","title":"Heat kernel for Liouville Brownian motion and Liouville graph distance","version":1},"cited_work":{"arxiv_id":"1807.00422","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.00422","snapshot_observed_at":"2026-08-14T11:17:40.389086Z","title":"Heat kernel for Liouville Brownian motion and Liouville graph distance","venue":"math.PR","work_id":"d75be49a-a615-422a-a53b-14d098a00889","year":2018},"citing_paper":{"arxiv_id":"1908.09469","last_updated":"2019-08-26T04:51:46Z","snapshot_observed_at":"2026-08-15T21:09:39.574765Z","submitted_at":"2019-08-26T04:51:46Z","title":"Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T11:17:40.340996Z"},"links":{"cited_paper":"/paper/1807.00422","citing_paper":"/paper/1908.09469"},"observation_digest":"sha256:e50c64d406998625cfb1dbae8034dc82fc0aa57d46e748d1ef0f49cdd92b76f6","observation_id":"b84dca55-4a1e-4c44-bb53-e4510a072983","resolution":{"observed_at":"2026-08-14T11:17:40.393660Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1807.00422/citation-record","integrity":"/paper/1807.00422/integrity","json":"/paper/1807.00422/citation-record.json","paper":"/paper/1807.00422"},"outbound":[],"paper":{"arxiv_id":"1807.00422","last_updated":"2018-07-02T00:26:16Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-15T22:42:23.799749Z","submitted_at":"2018-07-02T00:26:16Z","title":"Heat kernel for Liouville Brownian motion and Liouville graph distance"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1807.00422."}