{"as_of":"2026-08-21T03:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a3c3b5832f25737f28c0ce7040834cd6fb76374aa12e86e9996ea9a5bfa60d4f","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T19:08:55.085752Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.17113/citation-record","integrity":"/paper/2607.17113/integrity","json":"/paper/2607.17113/citation-record.json","paper":"/paper/2607.17113"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.18117","last_updated":"2024-12-24T02:56:55Z","snapshot_observed_at":"2026-08-19T22:18:55.324903Z","submitted_at":"2024-12-24T02:56:55Z","title":"KPZ fixed point convergence of the ASEP and stochastic six-vertex models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18117","snapshot_observed_at":"2026-08-01T19:08:53.123699Z","title":"and Hegde, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.123699Z"},"links":{"cited_paper":"/paper/2412.18117","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:a8883fe57c155be6240fb51a2be4bf0cbbeb2029fe9deb3e20933eb6c061e26b","observation_id":"096e00ec-b9e5-411d-acb8-0cb77bec6f11","resolution":{"observed_at":"2026-08-01T19:08:53.123699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.11826","last_updated":"2024-06-18T16:59:41Z","snapshot_observed_at":"2026-08-18T19:23:38.614894Z","submitted_at":"2024-06-17T17:58:44Z","title":"Limit theorems for extrema of Airy processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.11826","snapshot_observed_at":"2026-08-01T19:08:53.194313Z","title":"and Bhattacharjee, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.194313Z"},"links":{"cited_paper":"/paper/2406.11826","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:abfd1ec17a766dbda405e49526f6cd6b3f28c582458c9513e6e453e95de586bb","observation_id":"eefa67c1-7cab-4116-b775-82ab56e8af2c","resolution":{"observed_at":"2026-08-01T19:08:53.194313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-022-04544-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Ferrari, P","venue":"Communications in Mathematical Physics","work_id":"67f70040-e37d-49c7-97eb-b4574a65cd9c","year":2023},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.261659Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:7a35df8f54a743cccb2ed2d1053d1aaef5de3c2cb1b7d56ca9cb9d3ffe69e252","observation_id":"5363991d-caae-498e-acef-0e94b92dc078","resolution":{"observed_at":"2026-08-01T19:14:18.738400Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.00772","last_updated":"2025-04-08T08:33:10Z","snapshot_observed_at":"2026-08-20T00:55:45.284171Z","submitted_at":"2025-01-01T08:46:09Z","title":"Macroscopic Hausdorff dimension of the level sets of the Airy processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.00772","snapshot_observed_at":"2026-08-01T19:08:53.305516Z","title":"and Pu, F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.305516Z"},"links":{"cited_paper":"/paper/2501.00772","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:edb9f7d0d636c8362ed126db11a13e590a002ce1a47419964a080e2fbc6f4b20","observation_id":"10201fe5-15b5-46ad-9901-5ad4fb5ea831","resolution":{"observed_at":"2026-08-01T19:08:53.305516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:53.364263Z","title":"and Jim´ enez, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.364263Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:e7bcb0dabfa651fe9dbeda3c14dfef0638c306c5b787d1513d0f10fb685cd0ac","observation_id":"03904a4e-34f8-4178-9154-5f571deab756","resolution":{"observed_at":"2026-08-01T19:08:53.364263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s40072-021-00224-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Pu, F","venue":"Stochastic Partial Differential Equations Analysis and Computations","work_id":"5920cc91-552f-402b-8ebe-afc6f7fab642","year":2023},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.443172Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:3db1a3ac26bdd7b912b00a16d459a64d678d4011e2ff7d2fac3f84cf428e0fee","observation_id":"b1b16a6b-c4c2-4644-a685-ccc0de8fda06","resolution":{"observed_at":"2026-08-01T19:14:18.605684Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:53.606277Z","title":"and Vir´ ag, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.606277Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:7396307963b49a7a98f504f434f8b85f1c27c5cccb4e62ddeb3c63ba58b2a5ab","observation_id":"fbc9161a-e263-4ec4-8bf5-0275e5b6f90a","resolution":{"observed_at":"2026-08-01T19:08:53.606277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.12994","last_updated":"2024-10-30T17:32:05Z","snapshot_observed_at":"2026-08-16T19:10:52.576632Z","submitted_at":"2020-10-24T21:37:25Z","title":"Three-halves variation of geodesics in the directed landscape","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.12994","snapshot_observed_at":"2026-08-01T19:08:53.754527Z","title":"and Vir´ ag, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.754527Z"},"links":{"cited_paper":"/paper/2010.12994","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:162ea9ec83625df192400f6ea6b30ac2401e8e731e2860ae7fad1d2d16c71a97","observation_id":"f59d87ea-657f-4ee9-ac64-badf4b228912","resolution":{"observed_at":"2026-08-01T19:08:53.754527Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:53.815805Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.815805Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:0efcd476af698660e444b1304ffc7f2d0fbd3dfc2b122640fcfaf0ad4ac4b604","observation_id":"2e5998a9-a5e3-4e39-89c0-e61ccf7a5ddf","resolution":{"observed_at":"2026-08-01T19:08:53.815805Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:53.925899Z","title":"D., Proschan, F","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:53.925899Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:467a8cf5c8dff913ca00fe330a1ad1f34d3b711a105c07e07a51433f6d99e6f9","observation_id":"42672949-26eb-4812-b5b0-b0702617626f","resolution":{"observed_at":"2026-08-01T19:08:53.925899Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23065","last_updated":"2025-06-29T02:55:37Z","snapshot_observed_at":"2026-08-17T19:02:34.542127Z","submitted_at":"2025-06-29T02:55:37Z","title":"Spatial decorrelation of KPZ from narrow wedge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23065","snapshot_observed_at":"2026-08-01T19:08:54.114757Z","title":"and Pu, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.114757Z"},"links":{"cited_paper":"/paper/2506.23065","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:2891b3885bb370d34b0da12fc8af629a3f22b1cdd9588ce7e4301b2c8f90a82b","observation_id":"9bf86147-f898-4565-8c4b-84b5e2a8847c","resolution":{"observed_at":"2026-08-01T19:08:54.114757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.01053","last_updated":"2020-04-03T16:40:07Z","snapshot_observed_at":"2026-08-16T09:42:21.370497Z","submitted_at":"2019-06-03T19:58:51Z","title":"Multi-time distribution in discrete polynuclear growth","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.01053","snapshot_observed_at":"2026-08-01T19:08:54.179517Z","title":"and Rahman, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.179517Z"},"links":{"cited_paper":"/paper/1906.01053","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:c1d7cbe3dbae5aeb48025c36fa2312d0af9b5826c41072c3e6c030343afc55fb","observation_id":"5340db21-5383-4243-8dd1-fb7373345100","resolution":{"observed_at":"2026-08-01T19:08:54.179517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.09876","last_updated":"2021-11-23T22:15:40Z","snapshot_observed_at":"2026-08-21T00:36:19.415014Z","submitted_at":"2019-07-23T13:49:01Z","title":"Multi-point distribution of TASEP","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.09876","snapshot_observed_at":"2026-08-01T19:08:54.255776Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.255776Z"},"links":{"cited_paper":"/paper/1907.09876","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:8369186de1d4e73ae3f82eb6f9444a9e6b90baa6dffd31d49d362a4626c0788b","observation_id":"ab8b4376-9579-4e9a-a1ee-e73c28070297","resolution":{"observed_at":"2026-08-01T19:08:54.255776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:54.362751Z","title":"and Remenik, D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.362751Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:de5af8e56c7a70197b35e9d0416ebe999cd6a4252e37b75c9155a169a65f7a86","observation_id":"d58f57e7-a6dd-43da-95f5-2dd2de98b189","resolution":{"observed_at":"2026-08-01T19:08:54.362751Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:54.414260Z","title":"and Pu, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.414260Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:f2a0375a738a9d8470dde8380ff89ac3e6971a869e6856da66da6b39e45882ae","observation_id":"3c31e806-5d52-4c83-a89e-959f815ec153","resolution":{"observed_at":"2026-08-01T19:08:54.414260Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01197754","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Communications in Mathematical Physics","work_id":"1ff39114-1de6-4e29-8b57-1c76fda74257","year":1980},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.483588Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:03be5241c0ea5cb6a72dfdcb2ad4c0759df1b35e11d8f054735b799b46d452cc","observation_id":"7dfc29fb-414e-4984-88fa-ea9c1a6be32c","resolution":{"observed_at":"2026-08-01T19:14:18.343958Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/fms.2020.56","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Remenik, D","venue":"Forum of Mathematics Sigma","work_id":"f3315b5c-72f0-4d45-ad96-8871e89342be","year":2020},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.607523Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:88ee36d4a519a168621073564b3391ad0f21b83cc58c3add7a4deda93a264e5a","observation_id":"90590284-359a-49ac-a214-2c025e0a3008","resolution":{"observed_at":"2026-08-01T19:14:18.071388Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.11217","last_updated":"2024-12-01T08:19:38Z","snapshot_observed_at":"2026-08-20T00:56:03.835362Z","submitted_at":"2023-11-19T03:55:34Z","title":"Ergodicity, CLT and asymptotic maximum of the Airy$_1$ process","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.11217","snapshot_observed_at":"2026-08-01T19:08:54.691220Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.691220Z"},"links":{"cited_paper":"/paper/2311.11217","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:f5c5edf3b7f73130f20d307be878bcd9cad3be653220622969c4549ce5ed5c9f","observation_id":"ca2de365-55f5-4b67-941a-5d6a0463d4e8","resolution":{"observed_at":"2026-08-01T19:08:54.691220Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.07241","last_updated":"2020-08-17T12:16:07Z","snapshot_observed_at":"2026-08-15T07:21:30.470587Z","submitted_at":"2020-08-17T12:16:07Z","title":"The heat and the landscape I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.07241","snapshot_observed_at":"2026-08-01T19:08:54.824762Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.824762Z"},"links":{"cited_paper":"/paper/2008.07241","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:fe1905dc51fb48d711a1a243fe822d4eae432d5c64ea0ca235505d1563e036e3","observation_id":"75537f4a-4401-4662-a342-abea7e6caaf2","resolution":{"observed_at":"2026-08-01T19:08:54.824762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:54.966780Z","title":"(1991).Probability with Martingales","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:54.966780Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:d228da105cfc06db06a452e5273df3c256d0a223a419c1f1d027cd09711c5633","observation_id":"739152a6-9ccf-497c-9fbe-b39fa12430b6","resolution":{"observed_at":"2026-08-01T19:08:54.966780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T19:08:55.014752Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:55.014752Z"},"links":{"citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:cf8affedb2a09a8c69a9a00232657c938dc6d05503e2bbed837a3b4e580a9356","observation_id":"e1f91869-a4e5-4fd2-a49a-d613beecf62f","resolution":{"observed_at":"2026-08-01T19:08:55.014752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.00547","last_updated":"2025-04-27T18:40:06Z","snapshot_observed_at":"2026-08-16T16:04:55.106164Z","submitted_at":"2023-01-02T07:23:02Z","title":"The KPZ equation and the directed landscape","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.00547","snapshot_observed_at":"2026-08-01T19:08:55.085752Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T19:08:55.085752Z"},"links":{"cited_paper":"/paper/2301.00547","citing_paper":"/paper/2607.17113"},"observation_digest":"sha256:82b74872c8e9944729066a26c6569cfabb9f19d554de7c0578e6a69a65c0eb0f","observation_id":"589b2730-4446-4a5b-b2be-a7a9d4ac81c1","resolution":{"observed_at":"2026-08-01T19:08:55.085752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.17113","last_updated":"2026-07-19T07:43:53Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-20T00:55:09.067748Z","submitted_at":"2026-07-19T07:43:53Z","title":"Two-time spatial decorrelation for the flat KPZ fixed point"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":22},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.17113."}