{"as_of":"2026-08-08T00:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:507131d887287aea4e90ac1dfaf9cfcabea8e73a996bb5cc6487cfc59bc5fbe1","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":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:27:45.063112Z","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":"2026-07-03T03:37:35.060062Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":"2206.03029","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-03T03:37:35.060062Z","title":"Bourgade and H","venue":null,"work_id":"08ab74b5-6c05-4d22-b62f-54b37c68110c","year":2022},"citing_paper":{"arxiv_id":"2504.02348","last_updated":"2026-04-11T17:51:31Z","snapshot_observed_at":"2026-07-06T21:03:31.138057Z","submitted_at":"2025-04-03T07:33:00Z","title":"Rigorous results for timelike Liouville field theory","version":5},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-22T22:13:31.661380Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2504.02348"},"observation_digest":"sha256:9aad574dab4961719b2351a9fa7e14dcc8bcbd04bb475d466a65d8ac20a2b589","observation_id":"4fcee909-cd07-410a-8e57-23db72b18227","resolution":{"observed_at":"2026-05-22T22:15:11.238282Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-08-07T04:27:45.063112Z","title":"Liouville quantum gravity from random matrix dynamics","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.11707","last_updated":"2025-08-14T14:58:24Z","snapshot_observed_at":"2026-08-07T04:01:51.531688Z","submitted_at":"2025-06-13T12:21:21Z","title":"Fluctuations of two-dimensional determinantal processes associated with Berezin--Toeplitz operators","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:27:45.063112Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2506.11707"},"observation_digest":"sha256:504c17c5bb88c95f55ded459ab66a6e10227762b495cdecb81c47eddc86abb52","observation_id":"39c2e6cd-b26d-4eed-9595-b53d3e5cdb73","resolution":{"observed_at":"2026-08-07T04:27:45.063112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":"2206.03029","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-03T03:37:35.060062Z","title":"Bourgade and H","venue":null,"work_id":"08ab74b5-6c05-4d22-b62f-54b37c68110c","year":2022},"citing_paper":{"arxiv_id":"2604.12141","last_updated":"2026-04-26T23:26:28Z","snapshot_observed_at":"2026-07-06T23:00:22.690154Z","submitted_at":"2026-04-13T23:44:23Z","title":"Quantum chaotic systems: a random-matrix approach","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-10T15:04:48.468502Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2604.12141"},"observation_digest":"sha256:0a314ec9bb774c171ac9499a58396c3875b1488390937175d95918aac334608e","observation_id":"5d57158b-6117-4bbf-8df0-d5efc5dda104","resolution":{"observed_at":"2026-05-11T11:16:01.843704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":"2206.03029","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-03T03:37:35.060062Z","title":"Bourgade and H","venue":null,"work_id":"08ab74b5-6c05-4d22-b62f-54b37c68110c","year":2022},"citing_paper":{"arxiv_id":"2605.06429","last_updated":"2026-05-07T15:34:40Z","snapshot_observed_at":"2026-07-06T23:18:55.724335Z","submitted_at":"2026-05-07T15:34:40Z","title":"$\\mathsf{GL}_N(\\mathbb{C})$ Brownian motion and stochastic PDE on entire functions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-08T06:17:13.460557Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2605.06429"},"observation_digest":"sha256:245b5210237b8560968a7a92d87c82961ac8f3a217394832b18ed79e62f701c3","observation_id":"e93d21c3-e9a5-4158-a10f-40fac1558450","resolution":{"observed_at":"2026-05-11T21:16:11.942040Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":"2206.03029","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-03T03:37:35.060062Z","title":"Bourgade and H","venue":null,"work_id":"08ab74b5-6c05-4d22-b62f-54b37c68110c","year":2022},"citing_paper":{"arxiv_id":"2605.29962","last_updated":"2026-05-28T14:02:26Z","snapshot_observed_at":"2026-08-02T06:38:59.854201Z","submitted_at":"2026-05-28T14:02:26Z","title":"Gaussian Multiplicative Chaos for i.i.d. matrices","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T05:52:13.447400Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2605.29962"},"observation_digest":"sha256:f2b79fc4b172f513b72f4ae7de847a157650af53624df2c73b84140f4910be27","observation_id":"64ac9472-ecfb-4679-ba56-aadb3cf50f75","resolution":{"observed_at":"2026-06-29T05:53:08.684706Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":"2206.03029","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-03T03:37:35.060062Z","title":"Bourgade and H","venue":null,"work_id":"08ab74b5-6c05-4d22-b62f-54b37c68110c","year":2022},"citing_paper":{"arxiv_id":"2607.02446","last_updated":"2026-07-13T11:49:15Z","snapshot_observed_at":"2026-08-01T19:14:59.160806Z","submitted_at":"2026-07-02T17:16:27Z","title":"On a Rosenzweig-Porter-type model","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-03T03:37:08.194670Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2607.02446"},"observation_digest":"sha256:76c1a809497cb7b790ae9a9870ab5b708da4f29e445535dd2c54253362f0f8c9","observation_id":"aa6ae355-ff1d-48e5-b581-74aae012cba3","resolution":{"observed_at":"2026-07-03T03:37:35.061458Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.03029","snapshot_observed_at":"2026-07-14T16:39:37.550313Z","title":"Bourgade and H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.02446","last_updated":"2026-07-13T11:49:15Z","snapshot_observed_at":"2026-08-01T19:14:59.160806Z","submitted_at":"2026-07-02T17:16:27Z","title":"On a Rosenzweig-Porter-type model","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T16:39:37.550313Z"},"links":{"cited_paper":"/paper/2206.03029","citing_paper":"/paper/2607.02446"},"observation_digest":"sha256:a21c08715e11579f4411650bb01e91885bc79f423bb057e5674a9e85c4f4b6c6","observation_id":"12f89b5e-87d6-4386-a91c-7eebfb480623","resolution":{"observed_at":"2026-07-14T16:39:37.550313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2206.03029/citation-record","integrity":"/paper/2206.03029/integrity","json":"/paper/2206.03029/citation-record.json","paper":"/paper/2206.03029"},"outbound":[],"paper":{"arxiv_id":"2206.03029","last_updated":"2025-07-09T08:03:15Z","latest_version":4,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T13:18:06.376608Z","submitted_at":"2022-06-07T06:03:46Z","title":"Liouville quantum gravity from random matrix dynamics"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2206.03029."}