{"as_of":"2026-08-19T10:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c7b573ff64cab867138577022a1cb416d3ab1c63ec3606a602e5f9403cc749e","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T19:43:08.640011Z","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":"2026-07-03T07:27:45.005984Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1812.00309","last_updated":"2022-10-12T15:01:07Z","snapshot_observed_at":"2026-08-17T01:08:45.970818Z","submitted_at":"2018-12-02T02:41:51Z","title":"The directed landscape","version":7},"cited_work":{"arxiv_id":"1812.00309","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1812.00309","snapshot_observed_at":"2026-07-03T07:27:45.005984Z","title":"The directed landscape","venue":null,"work_id":"27db8cea-dbcf-4621-8702-fa27553e849c","year":2022},"citing_paper":{"arxiv_id":"2002.09459","last_updated":"2026-04-30T21:36:13Z","snapshot_observed_at":"2026-07-06T08:59:10.497764Z","submitted_at":"2020-02-21T18:25:09Z","title":"Hidden invariance of last passage percolation and directed polymers","version":5},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T15:27:16.654375Z"},"links":{"cited_paper":"/paper/1812.00309","citing_paper":"/paper/2002.09459"},"observation_digest":"sha256:050af8ca8bdf92bc631d4f5265a935db7dd8acc5a17a5d8d8daef66f4510a090","observation_id":"818d015e-f46c-4d9b-9cd4-305895822555","resolution":{"observed_at":"2026-05-24T15:29:38.165306Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.00309","last_updated":"2022-10-12T15:01:07Z","snapshot_observed_at":"2026-08-17T01:08:45.970818Z","submitted_at":"2018-12-02T02:41:51Z","title":"The directed landscape","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.00309","snapshot_observed_at":"2026-08-12T19:43:08.640011Z","title":"The directed landscape","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.10586","last_updated":"2026-05-26T19:11:54Z","snapshot_observed_at":"2026-08-12T19:30:08.412484Z","submitted_at":"2024-11-15T21:17:03Z","title":"A convergence framework for Airy$_\\beta$ line ensemble via pole evolution","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T19:43:08.640011Z"},"links":{"cited_paper":"/paper/1812.00309","citing_paper":"/paper/2411.10586"},"observation_digest":"sha256:59be4ee3ff6e99464727bb48d4cb574b9940b9c3c675056b20228cfa14576aca","observation_id":"1d650534-9b0d-44a6-8e24-77eaa2b91b94","resolution":{"observed_at":"2026-08-12T19:43:08.640011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.00309","last_updated":"2022-10-12T15:01:07Z","snapshot_observed_at":"2026-08-17T01:08:45.970818Z","submitted_at":"2018-12-02T02:41:51Z","title":"The directed landscape","version":7},"cited_work":{"arxiv_id":"1812.00309","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1812.00309","snapshot_observed_at":"2026-07-03T07:27:45.005984Z","title":"The directed landscape","venue":null,"work_id":"27db8cea-dbcf-4621-8702-fa27553e849c","year":2022},"citing_paper":{"arxiv_id":"2606.10496","last_updated":"2026-06-09T07:21:54Z","snapshot_observed_at":"2026-08-07T20:22:23.479703Z","submitted_at":"2026-06-09T07:21:54Z","title":"Dimension lower bounds in random geometry via Lipschitz functions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T12:04:31.022955Z"},"links":{"cited_paper":"/paper/1812.00309","citing_paper":"/paper/2606.10496"},"observation_digest":"sha256:e5c49d7b10dee7ef2b1edb10b2922a3a969b31c12fec9030004224bd6071d67c","observation_id":"b719f619-3acd-4037-8a2e-6d1f075565c1","resolution":{"observed_at":"2026-07-03T07:27:45.007389Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1812.00309/citation-record","integrity":"/paper/1812.00309/integrity","json":"/paper/1812.00309/citation-record.json","paper":"/paper/1812.00309"},"outbound":[],"paper":{"arxiv_id":"1812.00309","last_updated":"2022-10-12T15:01:07Z","latest_version":7,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T01:08:45.970818Z","submitted_at":"2018-12-02T02:41:51Z","title":"The directed landscape"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1812.00309."}