{"as_of":"2026-08-17T18:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b686653fd6c4e3dc1de762f44efb845e213314971d0c3d7863f4476674ff2ce0","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":"2026-08-17T06:30:58.91139+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":"2026-08-15T18:59:43.648060Z","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":"2026-05-22T15:54:58.791455Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1410.7318","last_updated":"2015-06-05T16:36:27Z","snapshot_observed_at":"2026-08-17T11:46:06.280316Z","submitted_at":"2014-10-27T17:14:03Z","title":"Liouville Quantum Gravity on the Riemann sphere","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.7318","snapshot_observed_at":"2026-08-14T13:12:02.533519Z","title":"David, A","venue":null,"work_id":null,"year":2016},"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":19,"source":"arxiv_source","source_observed_at":"2026-08-14T13:12:02.533519Z"},"links":{"cited_paper":"/paper/1410.7318","citing_paper":"/paper/1908.05573"},"observation_digest":"sha256:5995a71449e7e8aa85b1b06e77220ca499d40cc88029dadbc6a3b45690a9ba5c","observation_id":"0d7290fe-71ff-474c-969a-37c9dcb342fd","resolution":{"observed_at":"2026-08-14T13:12:02.533519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.7318","last_updated":"2015-06-05T16:36:27Z","snapshot_observed_at":"2026-08-17T11:46:06.280316Z","submitted_at":"2014-10-27T17:14:03Z","title":"Liouville Quantum Gravity on the Riemann sphere","version":4},"cited_work":{"arxiv_id":"1410.7318","doi":null,"metadata_source":"pith","pith_arxiv_id":"1410.7318","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Liouville Quantum Gravity on the Riemann sphere","venue":"math.PR","work_id":"ed287e74-cda8-413f-a785-472b57d75e36","year":2014},"citing_paper":{"arxiv_id":"2505.03068","last_updated":"2026-05-06T18:22:09Z","snapshot_observed_at":"2026-08-15T00:54:37.978308Z","submitted_at":"2025-05-05T23:22:00Z","title":"M\\\"obius randomness in the Hartle-Hawking state","version":2},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-05-22T15:52:46.785764Z"},"links":{"cited_paper":"/paper/1410.7318","citing_paper":"/paper/2505.03068"},"observation_digest":"sha256:967209ce64fea3c5178869976ca8a57a149ffb9a1ab2a60511438d125abde095","observation_id":"fc6025e2-7330-42f2-8a3d-5404463569bc","resolution":{"observed_at":"2026-05-22T15:54:58.794286Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.7318","last_updated":"2015-06-05T16:36:27Z","snapshot_observed_at":"2026-08-17T11:46:06.280316Z","submitted_at":"2014-10-27T17:14:03Z","title":"Liouville Quantum Gravity on the Riemann sphere","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.7318","snapshot_observed_at":"2026-08-15T18:59:43.648060Z","title":"Liouville quantum gravity on the R iemann sphere","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.18827","last_updated":"2026-06-30T02:14:53Z","snapshot_observed_at":"2026-08-16T16:09:47.977164Z","submitted_at":"2025-06-23T16:41:47Z","title":"Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-15T18:59:43.648060Z"},"links":{"cited_paper":"/paper/1410.7318","citing_paper":"/paper/2506.18827"},"observation_digest":"sha256:623222773b14d2493570936786a8a839bb331cbf2f01714716b76b1f37f5190e","observation_id":"84c331bc-e029-4eb1-95cb-cc6f9f815e68","resolution":{"observed_at":"2026-08-15T18:59:43.648060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.7318","last_updated":"2015-06-05T16:36:27Z","snapshot_observed_at":"2026-08-17T11:46:06.280316Z","submitted_at":"2014-10-27T17:14:03Z","title":"Liouville Quantum Gravity on the Riemann sphere","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.7318","snapshot_observed_at":"2026-07-12T06:14:03.658427Z","title":"David, A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.02905","last_updated":"2026-07-03T03:04:12Z","snapshot_observed_at":"2026-08-07T12:25:44.783974Z","submitted_at":"2026-07-03T03:04:12Z","title":"Pre-Strings Lectures on Artificial Intelligence","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-07-12T06:14:03.658427Z"},"links":{"cited_paper":"/paper/1410.7318","citing_paper":"/paper/2607.02905"},"observation_digest":"sha256:6d973afc160f84fb4455f922c4af9b6ed8910b210659c4d3bdc6d6a83e73bfa4","observation_id":"b6d5e34e-1558-4d09-85ef-e735820ab0bc","resolution":{"observed_at":"2026-07-12T06:14:03.658427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1410.7318/citation-record","integrity":"/paper/1410.7318/integrity","json":"/paper/1410.7318/citation-record.json","paper":"/paper/1410.7318"},"outbound":[],"paper":{"arxiv_id":"1410.7318","last_updated":"2015-06-05T16:36:27Z","latest_version":4,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T11:46:06.280316Z","submitted_at":"2014-10-27T17:14:03Z","title":"Liouville Quantum Gravity on the Riemann sphere"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1410.7318."}