{"as_of":"2026-08-22T00:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1f2994e71696c32a00c747f69e0edd7f79bb9a8aa6ee327cae0dbabc440457d1","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:21:00.063902Z","state":"measured"},{"denominator":56,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":56,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2501.15483/citation-record","integrity":"/paper/2501.15483/integrity","json":"/paper/2501.15483/citation-record.json","paper":"/paper/2501.15483"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.906986Z","title":"at xi, the snake σ makes a move in the fi direction","venue":null,"work_id":"b6ea2c55-6f51-4bf8-97a2-cdc5a23f5115","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.824747Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:de8a32150b94d90c71b79fe9af0412caa52a91994cca685838c816b6ec957c3e","observation_id":"a6cd6165-8ae2-4024-8df5-4b776e1df1ef","resolution":{"observed_at":"2026-08-10T14:21:00.911034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.947268Z","title":null,"venue":null,"work_id":"afe9c213-e6c8-442a-a7d3-d29bbec4426d","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.811943Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:bbc9211c067c1ad38faa7b075396ec3afedacb5f8faf4ad90b7f07cc280d0418","observation_id":"6f8dfe31-6a11-4d9d-bc9f-a8112dd4584c","resolution":{"observed_at":"2026-08-10T14:21:00.951374Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.932957Z","title":"Thus we will always suppose without loss of generality that q1 ≥ 0 and that q2 ≥ 0 if q1 = 0","venue":null,"work_id":"30cabc08-28c2-4e14-8aff-28d15d6a938c","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.816064Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:b0457379a04b732dabdc8f5e35d766792dcf1eafef1a733d79cc1363e96a4d1f","observation_id":"016fdfcf-229d-4a92-9348-b4bc499b2bf4","resolution":{"observed_at":"2026-08-10T14:21:00.937885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.919847Z","title":"In order for the images of the distinct functionsφ 1,","venue":null,"work_id":"d9e6e65f-00d9-48d6-9f0c-c83d821788ec","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.820119Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:06518a0325b5b8457f65129b51bec92ed1ba4388d71060e7d027d1124ec1fc33","observation_id":"2e69dbed-af89-4b06-8dce-254b6e5af8f7","resolution":{"observed_at":"2026-08-10T14:21:00.924110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.896230Z","title":"triangle inequality","venue":null,"work_id":"48bc4345-6655-4bfd-b856-0615b3535536","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.829655Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:24b5fa620d9fed75ef8dd31a38cd2ba2809ab0faba18151a22603a073730de98","observation_id":"f488e7c7-e44f-41a3-97c2-b5e358247bd4","resolution":{"observed_at":"2026-08-10T14:21:00.899678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.885387Z","title":"Preliminary results","venue":null,"work_id":"d0d29d65-87bc-40b4-b635-2f58872043c2","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.834024Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:f15247450c67187c0c33c903808ca4842d7c41bbc5bd5405343518941e1ca707","observation_id":"37b80b69-2c76-443d-8270-f3a99b55d7ee","resolution":{"observed_at":"2026-08-10T14:21:00.888897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.874791Z","title":"Theorem 6.1","venue":null,"work_id":"fdc0e222-e459-4984-b912-40f9e2b08666","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.840599Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:fe7625893e0568fa3225a89d1d095b5429bf3412aed27aa56c560631d42b392a","observation_id":"b5094a87-2163-496e-9995-b7a91095766a","resolution":{"observed_at":"2026-08-10T14:21:00.878208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.863064Z","title":null,"venue":null,"work_id":"c6cdaefb-dfe5-4c83-aa1e-30df6241ac8b","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.845673Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:2c2753355835ecf476aa48af98be0017a823afdb1ee49ef91cdcb7bcf9d4b314","observation_id":"533b8343-9141-4f2a-b5d4-e842844e6ccd","resolution":{"observed_at":"2026-08-10T14:21:00.867370Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.851573Z","title":"GOE fluctuations for the maximum of the top path in alt ernating sign matrices","venue":null,"work_id":"c008d9a1-f1c1-4601-bcbb-ef3d098a17f8","year":2023},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.849686Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:7d8b06cb5b97d00e3ae6f9f2ef6149364c4f1bfbe2fc1d1ec9cd7b89b22d4c2d","observation_id":"cda0cfa2-9ce9-46db-b5a6-1f598c1fb1ab","resolution":{"observed_at":"2026-08-10T14:21:00.855550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.838243Z","title":"New enumeration formulas for alternating sign matr ices and square ice partition functions","venue":null,"work_id":"9dff8e55-915a-43fc-9d28-d882bce4d4ad","year":2013},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.853674Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ffb6e62ab8484ea3e36dcd5acfbdaaa6c9c50ed4e7a3698e5752526f6e7948dd","observation_id":"18f3102f-eedc-4197-baad-db56ad87a06d","resolution":{"observed_at":"2026-08-10T14:21:00.842391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.18055","last_updated":"2023-11-08T15:02:55Z","snapshot_observed_at":"2026-08-16T14:48:19.274845Z","submitted_at":"2023-10-27T11:09:33Z","title":"On some integrable models in inhomogeneous space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.18055","snapshot_observed_at":"2026-08-10T14:20:59.859663Z","title":"On some integrable models in inhomogeneous space","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.859663Z"},"links":{"cited_paper":"/paper/2310.18055","citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:550b9a2e6a7429a4d34fb34a7f36fe9b38b1aabc76a950f90842640d1f6fed88","observation_id":"cf73ffd9-52ad-4637-9e21-7b3baa110fc9","resolution":{"observed_at":"2026-08-10T14:20:59.859663Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.826108Z","title":"Half-space Macdonald processes","venue":null,"work_id":"52fb141e-7983-4be5-b7fa-2b2f4d841396","year":2020},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.864832Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:8fe77bd2d525c3462d433d9eda5925b2ff8eed6a51ee42e251b1c7704db5284c","observation_id":"48b8808d-7a7f-4e05-bba1-969c8e61ed99","resolution":{"observed_at":"2026-08-10T14:21:00.830294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.814166Z","title":"J.(2016)","venue":null,"work_id":"6fb871c2-3512-4334-8fed-c6262b2c6bfe","year":2016},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.868731Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:5c3001270d85eeb4b3af874d07e3481947c4adcdd870507a9ba543d02243c7e1","observation_id":"8245263f-1df5-404b-8d4b-7704deb684e9","resolution":{"observed_at":"2026-08-10T14:21:00.817753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.801522Z","title":"Macdonald processes","venue":null,"work_id":"95d671c9-9f90-4417-8020-15ebe3ddad08","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.872554Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:7034722639076c30e9feac9e8f51276cf90d5daa85eced1ef9f066b03f9d273c","observation_id":"671d405b-9bfd-49b8-868d-7e5c0d02d1a3","resolution":{"observed_at":"2026-08-10T14:21:00.805576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.788294Z","title":"Free energy fluctuations for directed polymers in ra ndom media in 1+ 1 dimension","venue":null,"work_id":"896bdc3c-e4da-4a85-994d-739a3dadfc83","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.876276Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:cf654c18d61a51702d35b749795b350255689a86a36c946c0250763b7c355c38","observation_id":"f1272fb7-a357-4141-b07c-2df723f72cd2","resolution":{"observed_at":"2026-08-10T14:21:00.792824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.773234Z","title":"Stochastic six-vertex model","venue":null,"work_id":"8daf1f89-1151-45a1-a05d-4ccdf0955a0a","year":2016},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.880310Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ea848582cac891bad98f61b19f00067b2a1ea6fc59facadb67adf040edc54bdc","observation_id":"edea182a-789f-478d-a358-441aeef94e7a","resolution":{"observed_at":"2026-08-10T14:21:00.777762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.758524Z","title":"Lectures on integrable probability .Probability and statistical physics in St","venue":null,"work_id":"50c1ef8e-20d4-4fa9-aa6a-4563b8fcec5f","year":2016},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.883974Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:cdcbfebedd00e601b52be6566df983a48f3e7af2bad3c309569ad78c05f1c27e","observation_id":"e0b9ce3e-50f4-49d6-affa-0fe44a8888bc","resolution":{"observed_at":"2026-08-10T14:21:00.763103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.745218Z","title":"Asymptotics of Plancherel measures for symmetric g roups","venue":null,"work_id":"19ee07f0-6e28-49f5-b7c2-e85c5c3cb455","year":2000},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.887647Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:292322f29be2da0ab7fa36794d48a417c86b92468346600d4e738761e6dcb3d8","observation_id":"9444cd18-1c67-47df-945d-3214d7ff9ff0","resolution":{"observed_at":"2026-08-10T14:21:00.749519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.730311Z","title":"The bead model and limit behaviors of dimer models, Ann","venue":null,"work_id":"28da7d2d-d1fb-4c4e-8752-e0af3883860e","year":2009},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.891823Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:858d21b3e0a6d2686abab4f95ada821c36c5a2087585c0f63585a4167ccbace0","observation_id":"dbd2d452-53b5-4819-8a5f-e00af096be21","resolution":{"observed_at":"2026-08-10T14:21:00.736736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.714896Z","title":"/a.sc/n.sc/d.sc G/o.sc/r.sc/i.sc/n.sc, V .(2019)","venue":null,"work_id":"7a1bf09d-8ca5-4982-ba8a-e659c27a08d4","year":2019},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.895818Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:f2addb5ac5a696a039adade67390751bfa2fd3c9002171e312fd9622080af574","observation_id":"5f3c8b62-3053-4e8e-9d76-6e39f6e09482","resolution":{"observed_at":"2026-08-10T14:21:00.719678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.702434Z","title":"On the distribution of the length of the longest incr easing subsequence of random permutations","venue":null,"work_id":"83d94505-61a5-46f1-b6fe-4aa1dd8c047f","year":1999},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.899289Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:2e4afdaff9ac0191ad7e98b25e0aa13f093caa409a9ef8f7ea169d5fd9260986","observation_id":"075703b0-845d-4a53-84cc-3d7e0eb1a482","resolution":{"observed_at":"2026-08-10T14:21:00.705983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.689656Z","title":"Asymptotic domino statistics in the Aztec diamond","venue":null,"work_id":"c46c5293-28b1-4413-a500-9c747d085097","year":2015},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.902921Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:cc3a10d5d7a3996efb3e48232002e1e3c4568a22c161539a34a9b42e909afcb7","observation_id":"c9197eb9-e371-4000-a6f0-d23867126265","resolution":{"observed_at":"2026-08-10T14:21:00.693355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.679360Z","title":"/a.sc/n.sc/d.sc P/r.sc/o.sc/p.sc/p.sc, J.(1996)","venue":null,"work_id":"46c9924f-c149-4e5a-8c50-947e7245d919","year":1996},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.907061Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:cbe9e08cc45c544105664c6dc3978b6fbb859a4a241b5ad98dfd99083442cf0d","observation_id":"53605f75-20e8-4b26-a051-ab92c70db7c0","resolution":{"observed_at":"2026-08-10T14:21:00.682709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.669189Z","title":"/a.sc/n.sc/d.sc P/r.sc/o.sc/p.sc/p.sc, J.(2001)","venue":null,"work_id":"9893010c-81c7-442d-ba0c-ad816e5e6a70","year":2001},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.911253Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ea50348708d88eccc2b9cc40b15c481efea4bf8f5b69a97a1bde45ebcd752ea8","observation_id":"543a250a-4002-4175-959d-defc9a28191d","resolution":{"observed_at":"2026-08-10T14:21:00.672355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.657490Z","title":"Tropical combinatorics and Whittaker func- tions","venue":null,"work_id":"a7542a50-0bb7-4da9-aad4-d91d44d4379d","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.915849Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:0be3d830436b4575277c5a452727c535d9d2082222c0185204c8cee3fa6d9801","observation_id":"a19580fa-8ada-4508-b93b-842c27b2dba1","resolution":{"observed_at":"2026-08-10T14:21:00.661313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.646048Z","title":"H., /a.sc/n.sc/d.sc F/o.sc/x.sc, R","venue":null,"work_id":"e0e11843-d92e-4185-9f2f-23f54600f41e","year":2012},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.920279Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:80a6e95c2b67e78a203ba1aeef90f7623ccb6fbc084167cca00875f479b84e86","observation_id":"3964d94b-4238-4333-b61f-cfa9c7a60a35","resolution":{"observed_at":"2026-08-10T14:21:00.649701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.632877Z","title":"The connective constant of the honeycomb lattice eq uals √ 2 + √","venue":null,"work_id":"9bb5386e-432c-4fba-9648-9670486a0675","year":2012},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.924172Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:82df363cfa56f8255ee1e736e5d2dc3cfa167d03ca8e50c15938e9020a891ae4","observation_id":"7e5cc0e2-b6e8-4475-bc67-0fc4ea03875f","resolution":{"observed_at":"2026-08-10T14:21:00.637326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.619652Z","title":null,"venue":null,"work_id":"1fb48af2-7eff-4d61-9ec2-68bb01fe5023","year":null},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.928183Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:b271d5740ef856677dfef0a070292405ab628adf36d701ffaf736329cc10fe78","observation_id":"7d8cb3a8-cd20-41a8-b3f2-07c945de06e6","resolution":{"observed_at":"2026-08-10T14:21:00.624214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.604485Z","title":"Alternating-sign matrices and domino tilings (Par t I)","venue":null,"work_id":"ea9785ba-f242-4c37-8506-2b3ee6f86ee6","year":1992},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.931722Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:dcdb966f8cfcff67ad067ed5fee29d853ba7175fb54592dc148540347ba6cbfe","observation_id":"61b709e5-7980-4aa6-aaca-608b178adfe7","resolution":{"observed_at":"2026-08-10T14:21:00.609015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.590943Z","title":"Nonintersecting lattice paths on the cylinder","venue":null,"work_id":"437464f7-5902-4648-8046-6902037363bf","year":2004},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.935006Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:621d80c76afb09f5f7c23bb6a64c4378362d3c0f3295f10f970842fa9849541e","observation_id":"3355f7e9-b16b-408c-9836-143e0ef4726a","resolution":{"observed_at":"2026-08-10T14:21:00.595301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.10480","last_updated":"2020-09-22T12:00:38Z","snapshot_observed_at":"2026-07-06T09:57:45.145533Z","submitted_at":"2020-09-22T12:00:38Z","title":"Limit shapes of large skew Young tableaux and a modification of the TASEP process","version":1},"cited_work":{"arxiv_id":"2009.10480","doi":null,"metadata_source":"pith","pith_arxiv_id":"2009.10480","snapshot_observed_at":"2026-08-10T14:21:00.245189Z","title":"Limit shapes of large skew Young tableaux and a modification of the TASEP process","venue":"math.PR","work_id":"0f366edb-d716-490f-ba3f-9e1238b0ed4e","year":2020},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.938552Z"},"links":{"cited_paper":"/paper/2009.10480","citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:562bb760100e95fd8c9390ce9843ab1d0be1f4f2c957f2d8189d23eff2294a21","observation_id":"c96ed055-db22-467e-a6ad-d425733fd2c7","resolution":{"observed_at":"2026-08-10T14:21:00.251637Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.573595Z","title":"Lectures on random lozenge tilings (V ol","venue":null,"work_id":"f2b645a7-c312-45e2-929b-e9fffa7d06cd","year":2021},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.942268Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:616b58775e6d3e92e2d254c1fb1aef54931a75f7a56858db69e4aa829ba0aee5","observation_id":"4ae5a9c7-6cc6-489e-88c5-baa65c1aa06b","resolution":{"observed_at":"2026-08-10T14:21:00.579312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.556968Z","title":"From alternating sign matrices to the Gaussian unitary ensemble","venue":null,"work_id":"a4b73020-cce9-429e-962a-9b55ace5d9c1","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.946459Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ef4d61cc67112a6b759096c45563df769915ef1b96740fd8878ff182031c51a5","observation_id":"4b89f30a-61b0-49fb-bd3b-1e2e88c474a1","resolution":{"observed_at":"2026-08-10T14:21:00.562079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.542014Z","title":"Universality of local statistics for noncolliding random walks","venue":null,"work_id":"8434e1b2-d8eb-469e-b8bd-1a88faa0fe34","year":2019},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.950567Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:3f5e0197ec3fc75da09656d0db32e67ce2320796858f17ca2672f55bbc245e3c","observation_id":"0a5d761b-af77-493b-920b-23a5536ee462","resolution":{"observed_at":"2026-08-10T14:21:00.546848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.527554Z","title":"A., & J/o.sc/h.sc/n.sc/s.sc/o.sc/n.sc, C","venue":null,"work_id":"47cb6cdf-3893-4c93-b2cb-c14b169049f6","year":2012},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.953989Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:5b8a21327bd32a54882ef8f5d01fe6f177c54a45666ee19722c6729ffa1696da","observation_id":"c76f1400-d0f1-452a-b600-7be1e7ac9563","resolution":{"observed_at":"2026-08-10T14:21:00.531969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.511499Z","title":"B., K/r.sc/i.sc/s.sc/h.sc/n.sc/a.sc/p.sc/u.sc/r.sc, M., P/e.sc/r.sc/e.sc/s.sc, Y ., & V/i.sc/r.sc/aacute.sc/g.sc, B.(2006)","venue":null,"work_id":"7e5f416b-4577-4e5e-9a7a-fc716e755387","year":2006},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.957776Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:aa3cc3c411988d70a4d2288a00dde94ba403da61b82545360eee6dada4a12f53","observation_id":"c8f8b666-e8b1-491d-bae1-d0f0a6dcf979","resolution":{"observed_at":"2026-08-10T14:21:00.516033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/9801068","last_updated":"2026-04-07T01:33:18Z","snapshot_observed_at":"2026-07-07T06:08:10.589034Z","submitted_at":"1998-01-13T18:16:47Z","title":"Random Domino Tilings and the Arctic Circle Theorem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9801068","snapshot_observed_at":"2026-08-10T14:20:59.962297Z","title":"Random domino tilings and the arctic circle theorem","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.962297Z"},"links":{"cited_paper":"/paper/math/9801068","citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:615f1c45b0017f4b35fc0392c290483bac8fe3ee6072392d92751706079d065d","observation_id":"8b94609b-834b-4226-98e4-4cec7a4e4c35","resolution":{"observed_at":"2026-08-10T14:20:59.962297Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.498261Z","title":"Non-intersecting paths, random tilings and random matrices","venue":null,"work_id":"b92f4692-650c-476c-9935-70e4452e3adf","year":2002},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.967299Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:6ac254a9f0456147da52413a28fd28bdc6f2147121f477571732989d7d8bc7b8","observation_id":"e5b6bccc-1249-4648-9c71-4d5e06488b9b","resolution":{"observed_at":"2026-08-10T14:21:00.502843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2207.13538","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.202490Z","title":null,"venue":null,"work_id":"585fa466-881e-474c-aa45-497895846525","year":2022},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.971469Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:f62b7ea473996c7d15b14f8eb22a150a3740294c5c616cfe5f26993ff15fbb1a","observation_id":"6956e3ff-ee99-46a1-ad71-df0106d4c1ae","resolution":{"observed_at":"2026-08-10T14:21:00.211726Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.484494Z","title":"Coincidence probabilities","venue":null,"work_id":"d951733c-fc97-45f1-b845-ac246f0aa2c7","year":1959},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.975534Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ca498f8012fe4f2cab90fe695fcc161e4ce54936c1e2b99323bb6aacb23c8c0e","observation_id":"91beeb3c-8a42-4212-84c5-a478a061e07e","resolution":{"observed_at":"2026-08-10T14:21:00.489526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.472073Z","title":"W .(1961)","venue":null,"work_id":"422856e4-ec93-4660-ab61-789009bd9c88","year":1961},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.979722Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:3f9c2725ffbeac8b40c341ac6c5cb34613c284e04faa1090017530fa1611c41c","observation_id":"d086d763-c8e0-4890-8e7b-633c86039a7a","resolution":{"observed_at":"2026-08-10T14:21:00.476012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.459601Z","title":"& O/k.sc/o.sc/u.sc/n.sc/k.sc/o.sc/v.sc , A.(2005)","venue":null,"work_id":"98601ac9-e6a3-4a40-bbf0-e8cf39937a33","year":2005},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.984296Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:1dddd4faa612e1bb311b8bebd0f2553484168e6f4ecc9d98964981c8d9e2f36d","observation_id":"755d878b-9ee4-43d0-9869-6f71fecef752","resolution":{"observed_at":"2026-08-10T14:21:00.464173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.447734Z","title":"Dimers and amoebae","venue":null,"work_id":"defbbbe3-eacf-4811-b80e-07d3f1c82dc5","year":2006},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.988358Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:422a017e91cef9687bd2016bbc07692773930d0077cf6114bf42a8440dd84905","observation_id":"889b9fd6-82c1-48f4-97e6-8be7dc6ab008","resolution":{"observed_at":"2026-08-10T14:21:00.451667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.437659Z","title":"E.(2003)","venue":null,"work_id":"cc698255-f2c4-40e0-b144-87bedd20eb0e","year":2003},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.992628Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:f4b7f345552fa78b8e22d6078482fcde81d811b2f31bf9194e4754679e7fb93f","observation_id":"fc4f90bc-a5eb-4ece-a5a9-e654e38dd7a3","resolution":{"observed_at":"2026-08-10T14:21:00.441079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.425365Z","title":"Nonintersecting Brownian motions on the unit circl e","venue":null,"work_id":"e88d634a-335d-4102-8ca6-c04e945e1168","year":2016},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T14:20:59.996862Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:0140d8c3ad5b4c9961236803cde70c71097f0d13f86fc8593f9eec7aeef622e0","observation_id":"f63d8868-1b38-4cb4-b2e6-af8e60000d16","resolution":{"observed_at":"2026-08-10T14:21:00.429675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.409496Z","title":"A.(2001)","venue":null,"work_id":"c14865b0-c7bd-4298-bee8-70c50a4225a0","year":2001},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.001211Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:96d66947a6c3841cc5bb4387d821a519106441acb7121fd4a92bd8c98ea613ea","observation_id":"fb250e1f-5a0f-4ece-b338-e8aedd05e813","resolution":{"observed_at":"2026-08-10T14:21:00.414999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.397105Z","title":"Knot Theory and its Applications","venue":null,"work_id":"192de8c7-2e11-4758-b6c5-38c4aeb1181c","year":1996},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.005469Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:273c91804c38e4dc654cb3717073a0889774683b55e30524d104f083dde6bae3","observation_id":"6ca793cb-f22b-4328-9cf3-65cdd45ff33e","resolution":{"observed_at":"2026-08-10T14:21:00.401211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.382243Z","title":"Geometric RSK correspondence, Whittaker function s and symmetrized random polymers","venue":null,"work_id":"eaa4fe32-db55-412d-9434-61a6b9e49cb4","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.013553Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:34c442774ffe4958832ce4a80d9d915dd6a75f82dca02e60b92b5b64a18a902e","observation_id":"8ac67ca9-ec26-46cc-a40a-a262688a7675","resolution":{"observed_at":"2026-08-10T14:21:00.386963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.368338Z","title":"(2003).Correlation function of Schur process with application to l ocal geometry of a random 3-dimensional Y oung diagram","venue":null,"work_id":"617240be-cf10-4fa6-ae86-454f29a3512d","year":2003},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.020022Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:a7a1362a6773317e42c9aa634e2cb59e29b6ea10d6ba06ad10a355055ddc7ec8","observation_id":"875aeea8-69e8-4d17-9497-4161d24783c0","resolution":{"observed_at":"2026-08-10T14:21:00.372551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.356588Z","title":"Infinite wedge and random partitions","venue":null,"work_id":"37b5ac7d-99a6-472d-9b03-f73cf03a3765","year":2001},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.026213Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:8fc932d9d2ed763ec007278018a471ad4011d5368fe724a3a1ca5ae3399c37eb","observation_id":"8c7479a8-29de-425c-966c-d986836d5819","resolution":{"observed_at":"2026-08-10T14:21:00.360635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.342971Z","title":"Choosing a spanning tree for the integer lattice uni formly .Ann","venue":null,"work_id":"053a41d6-8a1c-4b03-acf9-b123a8e59415","year":1991},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.033597Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:ba0a13c62b30b87d5a1eea301bd0f240190a066d559e40ba0ad1a67d0bfb8f9c","observation_id":"b66c6328-0d5a-4a80-94a2-5d2d17207903","resolution":{"observed_at":"2026-08-10T14:21:00.348202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.326891Z","title":"Asymptotics of random lozenge tilings via Gelfand– Tsetlin schemes","venue":null,"work_id":"2af1b0d4-6ac8-4b36-b5a5-0df3f30dd3f9","year":2014},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.039061Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:92a3eeb1057ea7322f6914f13fe14d05e01ea9baf89cc42f4264b9d94ee99194","observation_id":"ad9e6726-b780-4e86-aab7-a567441d2c21","resolution":{"observed_at":"2026-08-10T14:21:00.331684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.314389Z","title":"The surprising mathematics of longest increasing subseque nces (No","venue":null,"work_id":"3499eb8e-9096-4935-9d7f-de433a5d6edf","year":2015},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.045702Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:31d96bec507d66f25a7fbb561a1edf1b5cb06cd9a35b19daf852dba3ed3e1b4e","observation_id":"54cdd95e-0287-4bbf-9081-df5fe016922b","resolution":{"observed_at":"2026-08-10T14:21:00.317897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.302184Z","title":"Scaling limits of loop-erased random walks and unif orm spanning trees","venue":null,"work_id":"6541d132-3135-4a54-87ac-1f0d7de4afc7","year":2000},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.053633Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:545e1e8fb80761a9d920969f62d71f867bbc6e0f651d386cf14cc52b56f8a9f4","observation_id":"015b43a3-5c37-44c8-8fc3-3a955ea348da","resolution":{"observed_at":"2026-08-10T14:21:00.306582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.289444Z","title":"Determinantal random point fields","venue":null,"work_id":"57ef9bca-1325-477b-80be-83c7aaf83b1c","year":2000},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.059084Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:0a819034ba1e35ce9ccac4f7cbf770ee7a3361927e65ef0b9dab24b84f6a05ef","observation_id":"d1d79d8d-2ed0-4ada-b6cd-a920aa27ed01","resolution":{"observed_at":"2026-08-10T14:21:00.293656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:21:00.275448Z","title":"N., & F/i.sc/s.sc/h.sc/e.sc/r.sc, M","venue":null,"work_id":"7f7a7d76-adaa-4463-acd2-351164227202","year":1961},"citing_paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T14:21:00.063902Z"},"links":{"citing_paper":"/paper/2501.15483"},"observation_digest":"sha256:61d45ab259175108fbbc002736a7d15386d93bd7336392b72f3e153b448060da","observation_id":"cbc1477f-6c62-43c7-b2f5-62bb2c7e3364","resolution":{"observed_at":"2026-08-10T14:21:00.279628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.15483","last_updated":"2025-03-06T11:34:58Z","latest_version":4,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T19:41:46.870389Z","submitted_at":"2025-01-26T11:04:49Z","title":"The Integrable Snake Model"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":4,"verified_exact":2,"verified_fuzzy":49},"total_outbound_references":56},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2501.15483."}