{"as_of":"2026-08-08T21:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7c8de56b4ac5159907d772762f38525e8d2d1019a63f6460363037f5a4d2d1fd","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":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T17:59:09.662929Z","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":"2026-06-29T22:54:01.668158Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-08-05T17:59:09.662929Z","title":"[DV21] Duncan Dauvergne and B´ alint Vir´ ag","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2508.15598","last_updated":"2026-07-06T13:03:30Z","snapshot_observed_at":"2026-08-08T00:49:45.107113Z","submitted_at":"2025-08-21T14:11:18Z","title":"Invariant measures and shocks in the KPZ fixed point","version":3},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-05T17:59:09.662929Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2508.15598"},"observation_digest":"sha256:88b4ac52f4ca7c73f58859448449a607f8d174b2bae01fbe89e500649def3fef","observation_id":"c7d29230-8b24-4ed3-8943-5ff492120fc4","resolution":{"observed_at":"2026-08-05T17:59:09.662929Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2604.03358","last_updated":"2026-04-03T17:25:05Z","snapshot_observed_at":"2026-08-02T20:31:02.249184Z","submitted_at":"2026-04-03T17:25:05Z","title":"The KPZ fixed point and Brownian motion share the same null sets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-13T18:07:12.172967Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2604.03358"},"observation_digest":"sha256:6e7723e2b07d5ee256ccd79c0e205c4c315ebaa19f35981c6edf55baa3ba69ed","observation_id":"c0d5595f-cec7-4937-86f0-512fc99f6b5e","resolution":{"observed_at":"2026-05-13T18:08:15.319370Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2604.10020","last_updated":"2026-05-08T07:30:45Z","snapshot_observed_at":"2026-07-06T22:58:43.155246Z","submitted_at":"2026-04-11T04:21:33Z","title":"The directed landscape in half-space","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-10T16:40:04.587379Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2604.10020"},"observation_digest":"sha256:d244756776dadbab3830ff36387463573edae165fcf7b192d08771f2ea64ef74","observation_id":"37c6e5a4-a184-454f-9747-434d30a51002","resolution":{"observed_at":"2026-05-11T08:25:59.057510Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2604.10020","last_updated":"2026-05-08T07:30:45Z","snapshot_observed_at":"2026-07-06T22:58:43.155246Z","submitted_at":"2026-04-11T04:21:33Z","title":"The directed landscape in half-space","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-11T01:51:11.189269Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2604.10020"},"observation_digest":"sha256:877a6964773d57295e3924e7d4e09f0de28934a25cf93c7157e75a64b6baeea8","observation_id":"33077639-5660-43f1-a1d6-f140cc05cd9d","resolution":{"observed_at":"2026-05-11T04:20:55.717383Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2604.12963","last_updated":"2026-04-14T16:57:03Z","snapshot_observed_at":"2026-08-02T10:21:56.218741Z","submitted_at":"2026-04-14T16:57:03Z","title":"Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-10T13:58:15.932540Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2604.12963"},"observation_digest":"sha256:d9a3f4c52cdb5e1f518c3d103d10f908c5d1c579822e5c58e706fe7d6855e5b2","observation_id":"300b3141-d7b9-4eb0-bb69-60263364ff86","resolution":{"observed_at":"2026-05-10T14:00:28.863226Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2605.21366","last_updated":"2026-05-20T16:29:06Z","snapshot_observed_at":"2026-08-01T07:47:48.805641Z","submitted_at":"2026-05-20T16:29:06Z","title":"The Martin boundary of the Directed Landscape","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-21T03:24:28.871603Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2605.21366"},"observation_digest":"sha256:39c41eb04e8241964d133630e8a9558dcaa32868f15cb51d67ae729da5bb9d77","observation_id":"41d279b6-c433-4411-84b9-c98e9a55613b","resolution":{"observed_at":"2026-05-21T03:34:28.985408Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":"2104.08210","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-06-29T22:54:01.668158Z","title":"and Vir\\'ag, B","venue":null,"work_id":"6cea8b97-7cf2-4199-b85b-31c12b564083","year":2021},"citing_paper":{"arxiv_id":"2605.26048","last_updated":"2026-05-25T17:10:48Z","snapshot_observed_at":"2026-07-06T23:35:55.988443Z","submitted_at":"2026-05-25T17:10:48Z","title":"Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T20:32:16.717300Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2605.26048"},"observation_digest":"sha256:908233c51b96efafd3b2ec0e9864dd6b0911ccd30ce41e8581f8dd9fb3c27377","observation_id":"34d91f92-f963-4148-a949-20441502b73e","resolution":{"observed_at":"2026-06-29T22:54:01.669806Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-08-01T16:10:30.772650Z","title":"The scaling limit of the longest increasing subsequence","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18104","last_updated":"2026-07-20T16:04:11Z","snapshot_observed_at":"2026-08-08T06:55:34.850771Z","submitted_at":"2026-07-20T16:04:11Z","title":"Periodic directed landscape","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-01T16:10:30.772650Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2607.18104"},"observation_digest":"sha256:8e25a436294747470a0793b3e2171f78320a5dc689f3c1120ea39aad3b2085af","observation_id":"1707aa3c-4045-4300-8a1b-ba8213f5e5fd","resolution":{"observed_at":"2026-08-01T16:10:30.772650Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08210","snapshot_observed_at":"2026-08-01T15:50:46.606354Z","title":"The scaling limit of the longest increasing subsequence.arXiv preprint arXiv:2104.08210,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18194","last_updated":"2026-07-20T17:35:17Z","snapshot_observed_at":"2026-08-07T05:24:23.444259Z","submitted_at":"2026-07-20T17:35:17Z","title":"Temperature chaos in directed polymers","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-01T15:50:46.606354Z"},"links":{"cited_paper":"/paper/2104.08210","citing_paper":"/paper/2607.18194"},"observation_digest":"sha256:be27afcf4ab6e1d578b89e8f3a08e4f5afde917e148be4f18defaccc850dff13","observation_id":"e99a2a18-18d8-4dcb-86c6-5163ace7c792","resolution":{"observed_at":"2026-08-01T15:50:46.606354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2104.08210/citation-record","integrity":"/paper/2104.08210/integrity","json":"/paper/2104.08210/citation-record.json","paper":"/paper/2104.08210"},"outbound":[],"paper":{"arxiv_id":"2104.08210","last_updated":"2022-10-12T15:12:16Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T11:00:25.253720Z","submitted_at":"2021-04-16T16:36:29Z","title":"The scaling limit of the longest increasing subsequence"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2104.08210."}